diff --git "a/data/dm_maths/full_data_1/1712_11255.jsonl" "b/data/dm_maths/full_data_1/1712_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1712_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Divide 160 by -4.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2642?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by -24.\nAnswer: -31\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 7. Let p(o) = o**2 - 9*o - 3. Let l be p(10). Let y(b) = 9 - l + 6*b + 11 + 9. What is -16*j(w) + 5*y(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 645 and 645?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32353 rounded to two decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 127410868 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51.6334874 + -49.623486515. Let q = b - 2.01. What is q rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 2*i**2 - 2*i**2)*(-1 + 4 - 1).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 + -61. Let n = 43.0000082 - i. Round n to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 13330151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 134\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 2. Let l be h(0). Let o = l + 3. Suppose -3 = u - 3*g, 5*u - g - o = 4*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 402.88951 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1064947309150426\/154586082322305 + -58\/1164253465. Let t = -2\/14753 + x. Find the common denominator of t and 1 + (-1)\/6*-5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56, 99, 132, 149, 144, 111?\n\"Answer: -z**3 + z**2 + 47*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 32089 - 30645 = -9694. Calculate the smallest common multiple of p and 96.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*d + 24*d = 14*d - 482405. What are the prime factors of d?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/3? (a) -3\/7 (b) 1\/4 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3242 + 31?\nAnswer: -3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 19 = -11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2 - 1 - q**3 - 3*q**2 + 7. Let v be j(-8). Solve -f + v = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (885\/1770)\/(-2*(0 - -1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68\/7 + 293\/28. Sort -2\/33, 3, o, 2.\nAnswer: -2\/33, o, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 28216\/16016*11 - (-17)\/(-238)?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-4)\/(4 + -12)). Put -1, 16, g in ascending order.\nAnswer: -1, g, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + 2*v**3 + 5*v**3 + (2*v**3 + v - v)*(5 - 1 - 2) - 5*v**3 + 34*v**3 + 21*v**3 - 10*v**3.\nAnswer: 49*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -476, -457, -440, -437, -460, -521, -632?\n\"Answer: -2*x**3 + 11*x**2 - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 575, 655, 737, 821, 907, 995, 1085?\n\"Answer: q**2 + 77*q + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(30))\/sqrt(10)*-1)**2 + 4.\nAnswer: -20*sqrt(3) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + 31*x - 1428 + 20 = -36*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 7:40 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -831*p - 723*p + 1453*p.\nAnswer: -101*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-598)\/299)\/((-1)\/(-1)))\/((-2)\/(-8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 8*b - 4. Calculate n(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -137858478 rounded to the nearest 100000?\nAnswer: -137900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14873040 a multiple of 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4700, -18673, -41916, -74429?\n\"Answer: -4635*k**2 - 68*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 13 = 3*q + 4, 5*q + 31 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, p: 2, y: 8, c: 2, l: 1, t: 2}. What is prob of sequence lyc?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.2738631 milliseconds?\nAnswer: 273.8631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, a: 2, d: 3}. Give prob of picking 1 d and 2 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -172488, 21, 63?\nAnswer: -172488","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l = -5*o - 10*l - 47, 0*l - 24*l + 6*l = 5*o - 239 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.92 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -240, -361, -482?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1711 divide 224647891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j. Suppose j*x + 4*x - 16 = 0. Suppose -2*a + b = 4*b - 33, -x*a + 57 = 3*b. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5993362kg in nanograms?\nAnswer: 599336200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2 - 62*x = 0. Calculate x.\nAnswer: 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 477 + -18fc0?\nAnswer: -18b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 times 281776?\nAnswer: 34658448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 418814 + 44?\nAnswer: 418858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*t + 20, 3*t = 5*t + 2*j + 10. Suppose -z = 1 - t. Which is the nearest to z? (a) 3 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - -0.1. What is the biggest value in -2, c, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - t + 2 = 0, 4*y + 4*t + 3 = -13. Which is the nearest to 1? (a) y (b) 1\/4 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 32 + 8. Suppose -2*u - 4 = 0, -3*v + j*u + 4205 = -0*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6579384.\nAnswer: 2, 3, 7, 39163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**5\/20 + 2*c**4\/3 - 4*c**3\/3 - 9*c**2\/2 - 17*c - 5. Suppose -3*v = -3 + 30. What is z(v)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1206 and 2274918?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 336*p**2 - 89*p - 346. Let k be d(-18). Round k to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s - 2*d = 6, 10 = 5*s - d. Let f be s\/4*-6 - -167. Which is bigger: 163 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 6. Let d(o) = -4*o - 10. Let m be ((-6)\/9*-3)\/((-2)\/4). Let w be d(m). Let q(y) = 4*y - 7. Let a(r) = w*z(r) + 5*q(r). Give a(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -19 - 15 - 16*x + 2 - 9. What is the units digit of r(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 4*n = 14*i - 13820, i - 4588 = -n. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y - 11. Let f(r) = 7845*r + 12764. Let w(z) = -f(z) + 4*s(z). Find the first derivative of w(q) wrt q.\nAnswer: -7869","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 4:34 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**4\/12 - 7*f**3\/3 - 15*f**2\/2 + 3*f. Let u be i(-13). Let y(o) = 2*o**2 - 10*o + 2 + 0 + 14*o. Determine y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2882 and 26.\nAnswer: 74932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**2 + x - 8*x**2 + 9*x**3 + 2*x - 4*x**2 - 3*x**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 30 + 118 + -113 + (-8 - 0)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnnnnnnnnnnnnnnnnjj. Give prob of sequence jjj.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40, 36, 32, 28, 24?\n\"Answer: -4*n + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -9. Let s = 6 - v. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 3*u + 4*u. Let i(q) be the second derivative of -q**3\/3 + 3*q. Calculate i(t(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u + 18 + 4*u**2 - 2*u**2 - 52*u**3 + 53*u**3. Calculate f(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 4 = -p + f, 2*f - 176 + 195 = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*w**3 - 11*w + 29*w**3 + 13*w + 5*w - 5 in the form p*w**2 + m*w + q + n*w**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/5 - 3348*b**3\/5 - 2805618*b**2\/5 - 1117564*b + 8396787\/5 = 0. Calculate b.\nAnswer: -1673, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/153 and ((-232)\/34)\/((-48)\/(-2 + -6))?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**4 + s**3 - 121*s wrt s.\nAnswer: -36*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 14*k**2 + 25*k - 2. Calculate h(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 11 (b) 3 (c) -931 (d) 0.14 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/14*(-2)\/18)\/(145\/58)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzmwglo. What is prob of sequence zom?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 28 (b) -79\/2 (c) 1\/8 (d) -0.17 (e) -0.2 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 30. Let l = -2.71 + 5.71. Let k(t) = -5*t**2 + 2*t - 1. Let n be k(1). Which is the third smallest value? (a) l (b) 1 (c) n (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 173*n + 1550. Let q(p) = 3*p**2 + 265*p + 2324. Let a(y) = 8*b(y) - 5*q(y). Factor a(m).\nAnswer: (m + 20)*(m + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -340.\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -23*h**2 + 18*h - 17. Let v(u) = -4*u**2 + 3*u - 3. Let s = -408 - -402. Calculate s*k(l) + 34*v(l).\nAnswer: 2*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22282.\nAnswer: 2, 13, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 - 98 + 0*y + 98 + 2*y to the form w*y + k*y**3 + l*y**2 + s and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 614*h. Let p(r) = -3*r. What is a(p(d))?\nAnswer: -1842*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*3*((-1330)\/150 - -9). What is the second biggest value in -3.8, -3, u, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 o when three letters picked without replacement from ooffgfqgqgg.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249 + -299 + 0 + 32.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 0.07, -6821 in increasing order.\nAnswer: -6821, 0.07, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/14904 and -23\/24.\nAnswer: 14904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 3*f**2 + 4*f + 0*f. Let k(j) = 3*j**2 - 3*j + 7*j - j. Suppose -12 + 2 = -2*g. Calculate g*m(v) - 7*k(v).\nAnswer: -v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 35, 57, 81, 107, 135, 165?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27\/5 of a millennium?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/5 - 18*c**2\/5 + 169*c\/5 - 30.\nAnswer: -(c - 6)*(c - 1)*(c + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one eighths of a milligram?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 19*v + 605 = 0, -5*h = 2*v - 153 + 118 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/21)*m*m\/(m\/(m*m**(1\/3))) assuming m is positive.\nAnswer: m**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m + 393 = 68*m. What is the second derivative of -96*y - 10*y - 172*y**2 + 409*y**2 - m*y**2 wrt y?\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, 3, 1, 0.066, -0.2 in ascending order.\nAnswer: -102, -0.2, 0.066, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -16 + -1 - (-559 + 572)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from {b: 1, s: 3, j: 1, e: 2, h: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -64644 divided by -3\nAnswer: 21548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -388 - -397.16. Let x = 0.16 - r. Which is the second smallest value? (a) 0.4 (b) -2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 3*z - 3. Let x be k(5). Suppose 4*w + 0 = 32. Let s = -2 - -5. Solve s*q + x = -w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 1.744, -1, -20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**2 + 1 + 4*z**2 + 4*z**2. Suppose -u - 1 = -h - 4, -3*h - 11 = -u. Let a be r(u). Solve 3*j + 3 = a*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -3\/266, -13?\nAnswer: -3\/266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpktkskrrsrtpkskssls. What is prob of picking 3 t?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468\/3510 + ((-298)\/(-240) - 1).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*m + 71*m = -28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6407536 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 571*o + 2194. Determine v(-4).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3748? (a) 3\/11 (b) 5 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 825 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5433, 10857, 16245, 21579, 26841, 32013, 37077?\n\"Answer: -3*k**3 + 5445*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7602*q**2 - q - 2. Is p(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*sqrt(567).\nAnswer: -9*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqb when three letters picked without replacement from {q: 2, b: 1, o: 2, c: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29770 + -27070. Calculate the highest common factor of f and 1300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 - (0 - -5))*(-3 + 2). Let v = 10 + -17. Which is the nearest to -1? (a) v (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h*h**(-5)\/h)\/h*h**12*h\/((h**(-3)\/h)\/h)*h**(-9) assuming h is positive.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c - 1. Let r be n(-2). Let m = 16 - r. Let i be ((-28)\/m + 0)\/(10\/25). Solve -4*d + i = 2*q, -5*d - 1 = -3*q - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -0.244, 6, -1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnwqqawqwww. Give prob of sequence mw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(6\/10)*4\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23180*m = -23198*m + 306 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 5 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15837 - -15836. Which is the nearest to 2\/3? (a) 860 (b) h (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlllckakakauu. What is prob of sequence lu?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760598 is divided by 5746?\nAnswer: 2126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 16 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/(7 - 6). Let y(j) be the third derivative of q*j**3 + 0*j - 1\/4*j**4 + 1\/10*j**5 - j**2 - 1\/60*j**6 + 0. Factor y(k).\nAnswer: -2*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 53*p - 1428 = 11*p + 2*p for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.7 times -8?\nAnswer: 221.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**2\/4 - 124096209*d + 5133289696057227 = 0.\nAnswer: 82730806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -652\/7? (a) -1 (b) 5 (c) -0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -5*i + 151452 - 151429, 0 = -7*v - 2*i - 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400)*-3 - sqrt(1400) - sqrt(56))\/(sqrt(32)\/(sqrt(24)\/sqrt(6))))**2.\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/7070 and 17\/11470.\nAnswer: 8109290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 7 = -31. Let i be (6\/(-3))\/((-10)\/15). Suppose l*k - i*k = 10. Solve -2 = 2*g, -g + 1 = -p + k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*m**3 + 14 + 209 + 95 - 1033*m**4 + 22 + 172 wrt m?\nAnswer: -4132*m**3 - 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.555 and -0.0466.\nAnswer: 6.5084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/837 and -73\/29295?\nAnswer: 29295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*m**5 - 1246*m**4 + 3040*m**3 - 1016*m**2 = 0. Calculate m.\nAnswer: -127, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -1 - 3\/(-3). Suppose -24 = 5*f - 44. Calculate the greatest common factor of t and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*a - 20, 65 = -t + 61. Suppose 3*g + 0 = -3. Let m(v) = -4*v - 1. Let c be m(g). Solve -c*n = -6 - a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2064020 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 106*s + 2844. Give g(128).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.32 - -0.02. Let h = u - -0.5. Let r = -2.709775 - 0.290225. Which is the closest to r? (a) -1\/10 (b) h (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34111167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**5 + 640*t**4 - 100*t**3 - 16000*t**2 = 0.\nAnswer: -160, -5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.24 + -45.24. Put -3, 3, -21, 1\/4, x in decreasing order.\nAnswer: 3, x, 1\/4, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29706.2 rounded to the nearest 100?\nAnswer: -29700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -4, 2676 in ascending order.\nAnswer: -4, 27, 2676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 10*o**2 - 8*o + 3. Let t(f) = 121*f - 19. Let a be t(4). Suppose 447 = -2*k + a. Determine x(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 99*r - 12*r**4 - 20*r - 25*r**2 - 11*r**2 + 15*r**4 - 48 - 3*r**3 + 5*r.\nAnswer: 3*(r - 2)**2*(r - 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**3 + 2 + 1 - 2 + b - b**2. Let u be x(-1). Let k be u + 3 - (-9)\/7. Sort k, 4\/9, -3.\nAnswer: -3, k, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/5*c**4 + 0 + c**3 + 3\/5*c**2 - 9\/5*c = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 963689559 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**8\/2016 + v**7\/1260 + 15*v**2\/2 - 20*v. Let b(n) be the first derivative of t(n). Factor b(y).\nAnswer: -y**4*(y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539658 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 2 + 2 - 1)*(2*h - 7*h + 2*h).\nAnswer: -9*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -94*b**2*q**2 + 2*b**2*q - 4*q**2 + 7*q wrt b?\nAnswer: -188*b*q**2 + 4*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Let g(f) = -13*f + 3*f**2 - 10*f**3 - 7 + 5*f + 6*f**2 - 2. Let x(a) = a**3 - a**2 + a + 1. Let r(u) = k*g(u) + 18*x(u). Factor r(m).\nAnswer: -2*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27949 = -26408*h + 24937*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 + 2\/3*f**2 - 16\/9*f.\nAnswer: 2*(f - 3)*(3*f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 58110740.863 and -29.\nAnswer: 58110711.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m - 13. Suppose 2*w + 12 = 4. Let l be d(w). Suppose 4*s + t + 3*t + 4 = 0, 4*s + 2 = -5*t. Which is the nearest to l? (a) s (b) -1\/8 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 6817.9629761545?\nAnswer: -6809.9629761545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 1191.\nAnswer: -4\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 103, 94, 81, 64, 43, 18?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -880*q**3\/3 - 103*q**2\/2 - 5*q - 918. Find the second derivative of x(v) wrt v.\nAnswer: -1760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -35*r**3 - 2*r**2 - 8. List the prime factors of q(-4).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5, -0.039, 0.06, 1, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 162, 375, 670, 1047?\nAnswer: 1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*s = 72*s - 265*s + 4522. Solve x = 35*x + s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 49. Solve -3 = -4*p + 2*t - y, 4*p - t = -3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14147.576 to the nearest ten.\nAnswer: -14150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -58, -127, -224, -349, -502?\n\"Answer: -14*g**2 + g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.058 (b) -2\/7 (c) -1\/5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4 + 4 + 784*n + 770*n - 1555*n. Let u(g) = -23*g - 15. What is u(y(z))?\nAnswer: 23*z - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 + -69. Suppose -p*f = -19*f. Suppose -3*b = -f*b - 5*b. Solve 5*i - 34 + 14 = b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11492868 to the power of 1\/2, to the nearest integer?\nAnswer: 3390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((4\/152)\/(6 - 7)). Calculate the greatest common factor of d and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16.998 and -33512612?\nAnswer: 33512595.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 540218351 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, 1\/3, 58, 0.3, 0.05.\nAnswer: -5, -0.1, 0.05, 0.3, 1\/3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 224 = -432. Let d be 10564\/28 - 4\/14. What is the highest common divisor of z and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 13 + (0 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (8 - (3 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1071.2 + 1708.8. Which is the fourth biggest value? (a) 5 (b) -0.3 (c) 4 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 10:32 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 220, 486, 750, 1012, 1272, 1530, 1786?\n\"Answer: -g**2 + 269*g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -2.19, 416, -2\/11?\nAnswer: -2.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -174 + 213. Calculate the smallest common multiple of 30 and y.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 79*x - s - 340, 15*s - 7 = 4*x + 14*s - 29 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 790033.\nAnswer: -27\/790033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 960 and 18?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 244 and 53558.\nAnswer: 107116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*u - 144 = 0, 5*m - 4*m - 50 = -2*u. What is the smallest common multiple of 1 and (-15)\/(-5) - (-2 + m)\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 + 20 = 18*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 = 0, 3*a - 6*w = -2*w - 33311. Let y be a\/45 - (-4)\/(-10). Let o = 346 + y. Calculate the greatest common divisor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-2) + 3)\/(5\/(-5)). Suppose -5*z - r*s - 3*s + 40 = 0, 5*z + 3*s = 34. Let c(u) = 3*u**2 - 5*u - 5. What is the units digit of c(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156103, -625279, -1407529, -2502853, -3911251, -5632723, -7667269?\nAnswer: -10014889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/(-4 - -10))\/(1\/581)?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 0 - 16*b + 22*b + 5 + b**3 - 7*b**2. Calculate l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 1. Let l(k) = 7*k + 3. Suppose -4*j = p - 15, 2*j = 5*p - p + 12. Suppose 2*z = -3*u - 372 + 340, 7 = -z. Calculate p*l(x) + u*w(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4 + (sqrt(2736)*1)**2)*-3 + -1 - (-1*((-3*sqrt(2736))**2 + sqrt(2736)) - -3*sqrt(2736)*-6)).\nAnswer: -82135 - 1140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2239*a + 40309. Calculate d(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-1 + 556\/10*100\/80). What is the third biggest value in 0, p, -2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*u**2 - 42*u**2 + 3*u - 63*u**2.\nAnswer: u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**3\/3 + 1320*d**2 - 993316*d + 516281168\/3 = 0.\nAnswer: -4628, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - 2*v**3 - 5*v**2)*(-4*v**2 + 0*v**2 + 5*v**2 + (6*v - 3*v - v)*(-4*v + 5*v - 3*v) + 6*v**2 - 5*v**2 - 4*v**2 - 135*v + 158*v**2 + 135*v).\nAnswer: -304*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7334313449 less than 0.2?\nAnswer: -7334313448.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2264842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*u - 3*i, 0*u + u + 5*i + 7 = 0. Suppose -u*b + 4*d + 35 = 0, 4*d = 8*d + 20. Suppose b*r + 2358000 = 11*r. Round r to the nearest ten thousand.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.941263 nanoseconds to hours.\nAnswer: 0.0000000000033170175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.145923t to kilograms.\nAnswer: 6145.923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64*c - 52 wrt c.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 + 229*c - 890. Give v(4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 7*s**2 - 7*s - 2. What is the smallest common multiple of 30 and g(-3)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112022110 + 201220102?\nAnswer: 1021012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 35*w**3\/3 - 10*w**2 + 20*w - 1. Let z(o) = -5*o**2 + 3*o - 3. Give -3*d(n) - 20*z(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 - 53*t + 189. Let d be z(6). What is the greatest common divisor of d and 8805?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -0.05 (c) 31 (d) -535787\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1293176, 2586290, 3879404, 5172518?\n\"Answer: 1293114*p + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkw when three letters picked without replacement from wwwwwwwoolkoooowok?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*p - 312*p = -152*p. Put -7, 1, p, -6 in ascending order.\nAnswer: -7, -6, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.8 (b) 15\/4 (c) 0.2 (d) -1 (e) -0.056 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.126021 to three dps.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/418*(-114)\/(-12) + 45?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270921)\/486552 - (-1)\/((-8)\/(-3)))\/(1 - -2).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u + 7. Let h be r(-5). Let i be 7\/((-70)\/h) - 1. Let p(n) = -n**2 + 8*n - 5. Let w be p(8). Which is the nearest to 0? (a) i (b) w (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 66*f - 113*f + 62*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53860702?\nAnswer: 2, 7, 31, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5554*u + 7084 = -4910*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 13. Find the first derivative of c*v**2 - 6*v**2 + 3*v**2 - v**2 + 2 wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34041104*c - 202434203 wrt c?\nAnswer: -34041104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 11:09 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33 + -3)*(-3)\/2. Suppose -3*g + 9 = l. Let v = 22 + g. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 2015137*i**2\/4 + 20151295*i\/4 + 50378175\/4.\nAnswer: (i + 5)**2*(i + 2015127)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2. Let t(s) = -2*s + 2. Let v be t(0). Suppose -4*w = 8, v*k - w - 2 = 18. Let q(b) = -k*b**2 - b**2 + 2*b**2. Calculate h(q(z)).\nAnswer: 256*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 h, and 1 n when three letters picked without replacement from {b: 4, e: 2, a: 1, n: 4, h: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-6))\/(1*(-6)\/9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5821213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*n - 51924, 0 = 3*c - 3*n - 27821 - 24115. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0 + 8. Suppose -m - 2*v + 56 = m, -w*m - v = -115. Is 23 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijbf when four letters picked without replacement from ifmjirijjbbiiffjmfi?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7453? (a) 5 (b) 3\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 548 - 1436. Let h = 57724\/65 + x. Suppose -201 + 84 = 117*p. Which is smaller: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1204 and 394826?\nAnswer: 5527564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, n: 3}. Give prob of sequence mm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*o - 6 + 3, 2*o - 6 = 4*t. What is the units digit of 5*t\/(30\/(-26))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 265*b**3 - 194*b**2.\nAnswer: 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 783 + 8. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiylccyyiyyymclyy. What is prob of sequence lyy?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*f - 280. Solve -2*q - 4*r = -3*q - 25, -2*q = -5*r + f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 199*i**3 - 10092*i**2 + 131475*i - 88750.\nAnswer: (i - 25)**2*(199*i - 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6301360181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13909 = -9*m + 98572. Suppose -35025 - m = -16*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1084864*w**2*x**2 - w**2*x + 4*x - 91216 wrt x.\nAnswer: -2169728*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 174d8424?\nAnswer: -174d841e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 532 + 21030*f**3 - 21029*f**3 - f)*(12 + 0 + 23).\nAnswer: 35*f**3 + 18620","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14463 and 20032862?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9324.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7081418 + -1?\nAnswer: -7081419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 648919\/170 - 19086\/5. Which is the closest to -1? (a) 9 (b) 2 (c) x (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 0)*(-6)\/(-9). Let w(b) = 3*b**2 - 5*b**m + 3*b**2. Let l(t) = -3*t**2 + 5*t**2 - 4*t**2. What is w(l(c))?\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2459*n + 10143 = -1150*n - 1148*n for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-2\/15)\/x)\/x)\/x)**9)**(-7\/6) assuming x is positive.\nAnswer: x**(329\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkmk when four letters picked without replacement from {m: 1, k: 5, v: 12}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*-1*sqrt(832) - sqrt(832))**2 + (sqrt(832)*-1 - sqrt(832))*-6 + ((sqrt(832) + 0 + sqrt(832) + -2)*-5)**2 + 1.\nAnswer: -1504*sqrt(13) + 96610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 + 1616?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 v when four letters picked without replacement from {v: 4, k: 4, h: 2, j: 1, b: 7}?\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1614)\/(-9) + 6\/9. Suppose -4*x = x - b. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3417033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + 7 - (-16 + 16) - 37?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -13\/4 (b) -13 (c) -2\/3 (d) -0.2 (e) 43 (f) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -232, -321, -558, -1015, -1764, -2877, -4426?\n\"Answer: -12*a**3 - 2*a**2 + a - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times -0.052\nAnswer: -0.00624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmurude. What is prob of picking 2 u and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13527 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: What is the value of (-37354)\/9830*1\/(-19)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 3)*(3 - 3 - 3*j)*(13 - 7 - 2) in the form v*j + m and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o - 2*o - 2*o)*(31*o - 31*o + 2 - 7*o**2) to q + f*o**3 + h*o + l*o**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.285626 rounded to three decimal places?\nAnswer: 0.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -557126 (base 8) to base 4\nAnswer: -231321112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**7\/30 - 3*n**5\/20 - 4*n**2 + 1. Let u(m) be the second derivative of y(m). Find the third derivative of u(r) wrt r.\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251935493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3315450 - -5575599. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40695, 40817, 41025, 41361, 41867, 42585, 43557, 44825?\n\"Answer: 7*z**3 + z**2 + 70*z + 40617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/4)\/(-4*5\/10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(16\/8*(-1)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h = 51*h + 8. Suppose h*f + 82 = j, -j - 6 = -4*j. Let p be (f - -20)\/(1 + 1). Solve -q = -p*q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.489306 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4587 = 4*u + 3*m, -4*u + 8*u = -2*m + 4590. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(72\/(-8))\/9)\/(168\/(-70))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/(sqrt(12) + sqrt(3)))\/(sqrt(3) + 2*-2*sqrt(3)) - 5*(sqrt(20) + (1 + sqrt(20))**2)*-6)*2.\nAnswer: 3238*sqrt(5)\/9 + 1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 11b2e1d?\nAnswer: -11b2e18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0124158 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128 and 80.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42246 - -12?\nAnswer: 42260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 13. Let y(s) = s**3 - 14*s**2 + s - 1. Let h be y(14). Give j(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -399, -414, -439, -474, -519, -574?\n\"Answer: -5*y**2 - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-8)\/(-16)*4\/10*50 and (-2 - -1)*(-1 + -49).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*s + 3*y + 8, 3*s - 4 = -4*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sggs when four letters picked without replacement from gssgsssss.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 342.23 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3927)\/(-44))\/(3\/(-8)). Let s = d - -334. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 70.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**11\/(q\/((q\/(q\/(q\/(q\/q**9))*q))\/q*q))*q**(-17)\/(q*(q\/(q*q*q**(-16)*q))\/q*q) assuming q is positive.\nAnswer: q**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 7525*i**2 + 3285435*i + 444621915.\nAnswer: 5*(i + 321)**2*(i + 863)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*b = 212 - 50. Let q be (5 + (-3 - b))*(-10)\/75. What is the nearest to q in 0.1, -6, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 12)*(3*s + 4*s - 6*s + (4*s + 0*s - 3*s)*(4 - 2 + 1)) in the form r + h*s and give h.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/(-6) + 10\/15 - -3.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 130908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 231 - 218. Suppose 9*c + i - 31 = 0. Factor 0*p + 1\/3*p**c - 1\/3.\nAnswer: (p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10}. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -478544759*h**2 + 197930*h + 497 wrt h?\nAnswer: -957089518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 6, 5, 3 in increasing order.\nAnswer: 3, 5, 6, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2. Let l(j) = -j**3 + 4*j**2 - j - 1. Let h be l(3). Suppose 4*b - 4 = 2*b - 2*p, 2*b + h*p = -8. Let i(d) = -3*d - d + b*d. What is i(t(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 946901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54739 and 51127?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1334660 divided by 20.\nAnswer: -66733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -1789, 1\/2 in descending order.\nAnswer: 1\/2, -23, -1789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20941 divided by -1548.\nAnswer: -487\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.3 - 14. Let m = -0.5 - -2.5. What is the closest to m in j, 4, -3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/5 (b) 0.3 (c) -1\/8 (d) 1 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -5 (b) 19 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 4.3 (c) -5 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*f**3 - 59323*f**2 - 392127 wrt f?\nAnswer: 12*f**2 - 118646*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 79*z - 33. Let l(o) = -35*o + 17. Determine -2*b(d) - 5*l(d).\nAnswer: 17*d - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + d = 2*d + 6, -2*u + 5*d = -9. Let i be u\/9*-1*(16 + 2). Solve w - 2*c = 3, -w + 6*w = 3*c - i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 - 1.94. Let m = -604.9228 + 605. Let q = 0.9228 + m. What is the closest to c in q, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 21 = -5*a, 2*a + 0*z - 18 = 4*z. Suppose a*j = 4*n - 32, -2*n - 5*j + 0 = -42. Let i = n + 4. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 46497600?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*j + 24, -2*j + j + 5*f = 10. Let k = 4 - j. Suppose -x = 2*h - k - 10, 4*x - 4 = 0. Calculate the lowest common multiple of h and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -6462.\nAnswer: -6462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -742*b. Let a(r) = -3*r + 143. What is y(a(v))?\nAnswer: 2226*v - 106106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17\/12, -4, 24?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1991, -1941, -1891?\n\"Answer: 50*r - 2041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 468 and 6279.\nAnswer: 75348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 15 + 27 = -c, 5*u = -4*c + 70. What is the second derivative of -u*g - 19*g**5 + 231*g**3 - 231*g**3 wrt g?\nAnswer: -380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.1, 0.2167, -1\/2, 1, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8 = 2*a, 4*a - 12 = a + c. Find the common denominator of (5 - a)\/(11\/7) and 89\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31174 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -3*i - 10, 27*c + 52 = i + 22*c + 60 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*((sqrt(11) + sqrt(1100))*-1 + sqrt(11) + sqrt(11) + sqrt(11))**2 + 3).\nAnswer: 8454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 212628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g - 3*g + 423499538 = 0. Let f be (-6)\/(84\/g) + 6\/4. What is f rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b - 1. Let v be x(4). Suppose 3*r - h - v = 14, 3*r - 45 = -3*h. What is the remainder when r is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 5*i - 11, 0 = -10*u - 21*i + 25*i - 44 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + (-10)\/3)\/((-8)\/(-408)). Let w = s + 8. Let r be (-15)\/w - 15\/28*1. Which is smaller: 2\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365729 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 ten thousands digit of 223085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -225\/4 - -57. Let u = -28.953 - 0.047. Let s = u - -33. Sort s, q, 3 in decreasing order.\nAnswer: s, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**4\/4 - n**3\/3 + 40*n**2. Give y(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54*2\/(-10))\/((-5580)\/(-18600)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 h when three letters picked without replacement from {j: 2, w: 4, h: 3, p: 2, d: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/3 + 1135*p**4\/3 - 2281*p**3\/3 - 7939*p**2\/3 + 7576*p - 4548 = 0. Calculate p.\nAnswer: -1137, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 2*j + 2*j - 16*v, 2*j - 4 = -v. Solve -293*a + 297*a - 12 = j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 951 - 484. Suppose -2*b + 5*t + 193 = 0, 3*b + 3*t = y - 125. Let g = -48 + b. List the prime factors of g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = 2*s - 421. Find the second derivative of 2*n**2 + 4*n**3 + 183*n + 175*n - s*n wrt n.\nAnswer: 24*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwp. Give prob of sequence xw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 4\/16)\/((-3)\/12). Let d be (-42)\/(-28) + r\/12. Suppose -5*k - 13 = -5*j - 2*k, 3*k - 3 = -3*j. Which is the smallest value? (a) -3 (b) d (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 411.73 - 414. Let a = 0.27 + q. Let z = -0.1 + 0.3. What is the nearest to 0.1 in -1\/3, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10603.95 + -0.03.\nAnswer: -10603.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 23*w**3\/3 - 3*w + 12. Let h(b) = b**2. Calculate h(s(i)).\nAnswer: 2116*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) -480 (c) 2.075 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/51? (a) 38\/13 (b) -1 (c) 16 (d) -4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.46, -0.1, 0, 0.4 in increasing order.\nAnswer: -0.1, 0, 0.4, 0.46, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13919 + 25162 = 2138*l - 42032 + 4101 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -1\/710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = -6*z - 1364. Let n = z + 283. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 1178.\nAnswer: 8246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 10 = 9*w. Let l be w\/8 + 2\/8. Suppose -18*o = -1578 + 1614. What is the nearest to l in -3, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47174 - -424060\/9. Let m = 56 + q. Which is the nearest to m? (a) 6 (b) -4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*v + 40 = -4*v, -s + 4*v + 16 = 0. Let b(h) = 216*h - 139. Is b(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c = 81*c - 272734. Let b = c - 10551. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 806\/8 - (-7)\/28. Let v(s) = s**3 + 4*s**2 - 10*s - 24. Let r be v(-7). Let g = r + n. Solve g = -z - 1 - 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-48)\/(-60) + 48\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**3 - 5*o**2 - 102*o + 4. Let a(l) = 5*l**3 + 5*l**2 + 101*l - 3. Let b(k) = -4*a(k) - 3*i(k). What is the second derivative of b(g) wrt g?\nAnswer: -12*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -3*t - t. Let l = -935\/2 - -1448\/3. Calculate the common denominator of l and 54\/(-60)*(t - 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1183485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68512969*r + 35721252 wrt r?\nAnswer: 68512969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -691 - -828. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 69 + 39 = 4*d, d + 19 = -2*g + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {y: 2, w: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 70*k**2 - 48*k - 199. Is n(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 2b50?\nAnswer: 2b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 z, and 2 e when four letters picked without replacement from fezezfeetzeefzffkeee?\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147975 is divided by 4931.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**3 + 62*p**3 + 13*p**3.\nAnswer: 65*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2421 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 415501 (base 7) to base 15\nAnswer: 1632a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04531, 1\/3, -3\/5, -2, 3, 0, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + 2. Suppose z - 97 = -q. Is 30 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35471, -70948, -106425?\nAnswer: -141902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 2*u + 2*u**2 + (2*u - 5*u + u)*(0*u + 3*u - 5*u) + 3*u**2 - 3*u**2 - 8*u**2 + u.\nAnswer: -2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22202021220 (base 3) to base 10.\nAnswer: -172257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -331.\nAnswer: -5\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 24. Let i = -796 + 1657\/2. Let h = s - i. Sort 3, h, 4 in increasing order.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*r + 4\/5*r**3 + 0 - 1\/5*r**4 + 1\/5*r**2.\nAnswer: -r*(r - 4)*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 13\/4, -3, 3, 4\/3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*m**3 - 32 + 32 + (-m + m - m**2)*(-2*m - m + 5*m).\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -31?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/(-138)*(-2)\/(-10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -185*f + 4. Let a(b) = b**2 - 9*b - 5. Let g be a(9). Is t(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -4, 0.2, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114584937?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 23*f - 284. What is c(12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/12 - 4\/16. Let b(d) be the third derivative of 2*d**y + 0*d**3 - 1\/60*d**5 + 0*d**4 + 0*d + 0. Factor b(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - m = 7 + 2, 3*j + 5*m = -19. Suppose 2*x = -2, -j*u + x + 5 = -2. Solve -5*y = u*w - 12 - 6, 0 = 2*y + 4*w - 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 6. Let r = 342 + -1709\/5. Let z = 8\/35 + r. Put -0.01, k, z in descending order.\nAnswer: z, -0.01, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31669776 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 1553985 + 776996 + 776989 + 3*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + 6*p**3 - 3*p**3 + 2*p**3 - 3*p**3 + 4*p**3 - 3*p**3 + 5*p**3 + p**3 + (p**2 - 3*p**2 + 3*p**2)*(-1 + 1 + p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 30*b - 41 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 1, x: 7, e: 7}. Give prob of picking 1 t, 1 g, and 1 x.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 216, 823, 1978, 3813, 6460?\n\"Answer: 22*a**3 + 142*a**2 + 27*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -678.160631 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (357\/9 + (-57)\/171)\/(1\/243). Calculate the greatest common factor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66\/149 - -3137\/5364. Find the common denominator of -7\/44 and w.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*a**3*v**3 + 6*a**3*v - 4*a**2*v**3 + 8*a*v - 2*v wrt v.\nAnswer: -198*a**3*v - 24*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -14, 478, 4 in increasing order.\nAnswer: -15, -14, 4, 478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 3*p**2 - p + 2. Let s be v(2). Suppose 10*h - 11*h - s = 0. Let y = h + 4. What is the nearest to y in 3, -4\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3092)\/23190 + (-849)\/45.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010111010 (base 2) in base 16?\nAnswer: aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*t + 2 = -48*t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -175*t + 1945 - 112 + 267 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w + 3*z + 14, 5*z + 22 = 3*w. Sort w, 6, 1.\nAnswer: 1, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 34772*x - 34751*x + 3*y, -4*x - 108 = 4*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -284, -287, -294, -305, -320, -339, -362?\n\"Answer: -2*f**2 + 3*f - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -121. Let g(c) = 3*c**2 - 88*c - 1253. Let y be g(-12). Calculate the greatest common factor of a and y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 114*o + 2\/3*o**2 + 340\/3 = 0.\nAnswer: -170, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000557 rounded to 5 dps?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005949579632 rounded to seven decimal places?\nAnswer: -0.0059496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -19*k - 145. Is 24 a factor of s(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-8)\/96). Let k(b) = b + 0*b - d*b**3 - 3*b**2 + b**2 + 5*b**3. What is k(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - m - 2. Let t be g(-2). Suppose -2*u + 12 = -t*u. What is the tens digit of 3\/u + (-46)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*w + 1362, 1809 = -2*w + 6*w - 3*f. Is w a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1012212 + 1130?\nAnswer: 1013342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 13. Let s be w(-9). Solve -5*f = -6*f + s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 16 + 14*y - 40389362*y**2 + 40389351*y**2 - 39. Calculate u(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from cmuauff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 142, 181, 238, 319, 430, 577?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Let z(j) = -j + 6. Let y(r) = 7. Let u(m) = g*y(m) - 4*z(m). Let q be u(2). Solve -5*f + 4*d = 20, 2*d = d + q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 + (-2 - 16888\/512))*(14 - 4).\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - p + 6. Let k be h(-3). Suppose 2*j = 50 - k. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 4. Determine s(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 39, -2, -6.\nAnswer: -45, -6, -2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2756501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49315)\/385 - -128)*(-2 + (0 - 0))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2523*-0.1\nAnswer: -252.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 133487581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -331255 greater than -331255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.334, 28, -2 in ascending order.\nAnswer: -2, -0.334, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-7) - (4 - (-188)\/(-28)). Suppose -u*l = 2*v + 4, 0*v = 2*v + 10. Solve -1\/4 - 3\/4*g**l + 1\/4*g**3 + 3\/4*g = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 1111\nAnswer: -6\/1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 24*d**2 - 46*d - 18. Let g(k) = 2*k**3 + 5*k**2 - 6*k + 2. Let x be g(2). Let f be i(x). Calculate the greatest common factor of f and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292923885?\nAnswer: 3, 5, 41, 476299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(553\/(-158)*(-2)\/(-7)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 1:25 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7988568 divided by -392\nAnswer: 20379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 - 30*m + 3. Give w(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 - (-528)\/112. Let j be (-5)\/((-100)\/12)*c. Differentiate 2 - j - 11*p - 2 with respect to p.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - h**2 + h + 3. Let d be 18\/(-27) - 4\/(-6). Let u be r(d). Solve 3*b = -u - 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -23.7 (b) -0.2 (c) -0.036 (d) -0.4 (e) 9.5 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 6) to base 10\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.2 (c) -10 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c. Let b(r) be the second derivative of -47*r**4 + 2*r + 3. Determine l(b(o)).\nAnswer: -564*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, r: 3, n: 4, y: 3, u: 8}. Give prob of picking 2 n and 2 u.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + -4 + 14 + (7 - 18)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 201\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/12 - (-798)\/9.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 1091.\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 7*c + 16. Calculate k(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {e: 2, u: 1, x: 2, r: 11}.\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 10:50 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 1 - 9, -4*b - 436 = -4*p. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 1. Let w(b) = -5*b - 5. Let k(r) = 11*p(r) - 2*w(r). What is the smallest common multiple of k(-7) and (-104)\/(-28) + (-2)\/(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111210 + 1011?\nAnswer: -1110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24bd1 (base 16) to base 12\nAnswer: -73101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-60)*((-3)\/(-18))\/1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 33. Let b = 20 + d. Calculate the greatest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*g + 385*g + 407*g + 9100 = 1471*g for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*c - 4258 = 0, 8*g + c = 5*g + 4253. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 10\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 3*s + 22, 5*n + 28 = -5*s - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 2, g: 1, l: 2, i: 1}. Give prob of picking 1 l and 1 r.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-2\/5))**22\/(d**(-4)*d*d**(1\/3)*d*d))\/(d*(d*d**(-2\/5)\/d)\/d*d*d**(-2\/13)\/d*(d**(-2\/7))**(-35)) assuming d is positive.\nAnswer: d**(5152\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103 + -47 + -36 - 27?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 180?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-8)*(-32)\/(-12). Let f(b) = -b**3 + b**2 + 5. Let l be f(0). Let v = l + m. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2983 and 1570?\nAnswer: 29830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2466 is divided by 323?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111001111 (base 2) to base 5.\nAnswer: -103120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -2*u**5\/5 - u**4 + 2*u**3 + 4*u**2 - 8*u - 90. Factor i(c).\nAnswer: -2*(c - 1)**2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-560)\/(-110) + 1 - (9 - 3)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94\/15 - -28\/5. Suppose -z - 3*o + 3 = 2*o, 0 = 5*o. Suppose -n = z*n. What is the nearest to n in 5, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1481\/4 - 3\/12. What is the common denominator of 36\/(-150)*x\/16 and -67\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 40. Give v(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t**(-13)*t)\/((t*t*t**(-22\/5)\/t*t*t)\/(t\/t**(-24))))**(2\/53) assuming t is positive.\nAnswer: t**(154\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3043, 12193, 27515, 49069, 76915, 111113, 151723, 198805?\n\"Answer: 10*i**3 + 3026*i**2 + 2*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 671 or 672?\nAnswer: 672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 305921784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4403 = 57*a - 4859 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 327363199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 8729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5262335 (base 7) to base 13.\nAnswer: 193cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + 18 = 19*y + 4*o, -30 = -5*y - 2*o. Solve y + 19 = 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (139 - 224) + -1 + -6 + 7 + -22?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l + 9*l + 3 - 6 - 25*l + 13*l - 2.\nAnswer: 4*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 135*g + 49. Let z be j(4). Suppose -4*q + y = -z, -q + 13*y - 8*y = -133. Calculate the lowest common multiple of 8 and q.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3, -5, -111?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 106*i**2 + 249*i - 3. Let l be j(-3). Calculate the greatest common factor of l and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + l + 1. Let s(o) = 13 + 0*o + 3*o + 27*o**2 - 3*o**3 - 42*o**2. Let r(f) = s(f) + 2*z(f). What is j in r(j) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3971 + -3955. Solve -8*j = -12*j - 2*w + p, 2*j + 2*w = 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 347*g - 3007. Calculate z(107).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q**2 + q)*(-1543784*q - 9950*q**2 + 1543784*q).\nAnswer: -9950*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {e: 2, n: 1, y: 2, x: 1, p: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-15))\/((-8)\/(-25)). Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*21\/14*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 68?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b + 2*b)*(-1101 + 1101 - 44*b)*(-4 + 1 + 1).\nAnswer: 264*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tttuuxuttuuuuuux.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (7 - 11) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -6 in decreasing order.\nAnswer: 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 6134 (c) 4 (d) -4 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.54273l in millilitres?\nAnswer: 50542.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 16 = 4*k + 2*b, 0 = 4*k + 5*b - 17. What is the greatest common factor of k and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:08 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2129 + -2133. Sort -5, -6, o, 2.\nAnswer: -6, -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + 553026?\nAnswer: 552661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (60\/40)\/((-1)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/320, 1, 129 in descending order.\nAnswer: 129, 1, 9\/320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/60 + z**3 + 8*z**2. What is the first derivative of c(n) wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n**4 + 5*n**3 - 5*n**2. Let k(a) = -8*a**4 - 4*a**3 + 5*a**2. Let y(t) = -4*h(t) - 5*k(t). What is the third derivative of y(o) wrt o?\nAnswer: 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -13 + 7 + 28 + -25\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30853195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 5*j + 10. Does 4 divide h(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 7*s + 3*s)*(-2*s + 6 - 9 + 5).\nAnswer: 12*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20\/33 + 166\/165. Sort -2\/7, 17, f, -5 in descending order.\nAnswer: 17, f, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*q + 10 + 10, 2*b - 4*q = 10. Let k(j) = -2*j - 15. Let o be (4\/(-5))\/(2\/(-20)). Let l(a) = -3*a - 23. Let d(h) = o*k(h) - 5*l(h). Calculate d(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 - z**2 - 2*z**2 - 3*z + 1 + z**3 + z**2 to r*z**3 + d*z**2 + t*z + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -149*l**4\/12 - 8*l**3 - 42*l. What is the second derivative of q(w) wrt w?\nAnswer: -298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-4))\/(8\/(-16)) + -2. Let h(n) = 0*n**2 + 0*n**3 + n**3 - 6*n**2 - 6*n. Give h(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = 2*p - 1, 4*p = 0. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 816, 626, 438, 252, 68?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b380 (base 15) in base 6?\nAnswer: 10123233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -17.3. What is the second smallest value in -0.5, 0, 1\/3, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120448 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 23 - (221 + -247).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -148672, -1191128, -4021152, -9532528, -18619040, -32174472?\n\"Answer: -148964*u**3 + 292*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/10 and -33\/481.\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 6*l + 5. Put 0, 1, l in decreasing order.\nAnswer: 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*p + 1199*p - 14205 - 1683 = 11952 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 12, -3*m + 45 + 99 = 4*v. Let l = -47 + m. Suppose -l*b = 2*f - 44, -4*b + 64 = -0*f + 4*f. Solve 3*k - 5*p + 18 = 2*k, -p = -3*k - f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2736) + 2 + 1 + sqrt(2736) + (sqrt(2736) + sqrt(2736) + -3)*5)**2*6.\nAnswer: -20736*sqrt(19) + 2364767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 - 182*c**3 - 532*c**2 - 352*c.\nAnswer: -2*c*(c + 1)*(c + 2)*(c + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(5 - 2) - -51. Let z(k) = -k**3 + 31*k**2 - 27*k - 87. Let o be z(30). Suppose 5*g = 5*h - 195, -o*g = -h - 8*g + d. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 7. Let l(g) be the third derivative of -g**5\/60 + g**4\/3 + g**3 - 2*g**2. List the prime factors of l(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110110111010010 (base 2) in base 6?\nAnswer: -4452214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.056 (b) -1\/4 (c) -3\/8 (d) 2\/3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 292.0148 - 292. Let p = r - 0.01479655. Round p to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 760*v**3 - 55*v**2 + 55*v - 110. Let h(f) = f**3 + f**2 - f + 2. Give -220*h(s) - 4*t(s).\nAnswer: -3260*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13788 by 4.\nAnswer: -3447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20121110211220001 - 1?\nAnswer: -20121110211220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 1:58 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r - 40 = -16*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -491838634*i*z**6 + 172*i - 356078*z**2 wrt z.\nAnswer: -59020636080*i*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.3. Let d = -1 - n. Let k = 53.359 + -56.359. What is the closest to 1 in k, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuuybycuucubuub. What is prob of picking 1 y, 1 b, and 1 u?\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 45*c + 97. Give x(46).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6272 < 6202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5 - 3*u**4 + 15*u**3 + 55*u**2 + 6*u - 72 = 0.\nAnswer: -3, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5116 = -4*s + z, 774 + 3052 = -3*s - 2*z. List the prime factors of (s\/27 + -5)*-3.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2\/21, 0.09, -3116, -1, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -0.5, -2\/37, 0.4, -27\/31?\nAnswer: -27\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 41577180.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*g + 192000 + 453380 = 0. What is the highest common factor of g and 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/15 - 6*j + 728\/15.\nAnswer: -2*(j - 7)*(j + 52)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 459, 464, 479, 510, 563, 644, 759, 914?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3.5. Let d(x) be the first derivative of 2*x**3\/3 - 2*x**2 - x - 3. Let a be d(3). Sort a, v, -0.1 in ascending order.\nAnswer: -0.1, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191597 to the power of 1\/2, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -9*y**2\/2 + 77703*y - 1087401\/2 = 0.\nAnswer: 7, 51781\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h - 3*l = 16, 3*l = -h - 10. Suppose 5 = 5*j - 2*y + 27, -h*j - y - 16 = 0. Let f(w) = w + 6. Give f(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**4 + 1203972*n**3 + 3611940*n**2 + 3611948*n + 1203984 = 0.\nAnswer: -1, 300996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2935739?\nAnswer: 43, 67, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l + 6 = 0, 5*f = -l - 52. Let y(r) = 6*r**2 + 31*r + 27. What is the tens digit of y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d. Let z(k) = -5520*k + 161. Let g(p) = -69*p + 2. Let i(l) = 161*g(l) - 2*z(l). Determine h(i(t)).\nAnswer: -621*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -184, -186, -188, -190, -192, -194?\n\"Answer: -2*f - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -0.598 (c) -5 (d) 10 (e) -7 (f) -4 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 + 138. What is the smallest common multiple of 118 and s?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - -39 - 1334\/161?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggbgggg. What is prob of picking 1 b and 1 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 659 + -20?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 41 + 10*n - 3*n - 43. Find the common denominator of (-512)\/210 - (-6)\/(-45) and o(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3596 + -1032055\/287. Let y = m + -202\/287. Let s = 3.6 - 4. Which is the third smallest value? (a) s (b) 3\/5 (c) -2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-1353)\/(-627))\/41).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c**2 - 5*c. Let q be p(-4). Let h = -42 - q. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16232559779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 7*q**2 - 6*q + 3. Let o be s(6). Let u be (-152)\/57*o\/(-2). Suppose -4*n - u = -60. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 13*h**2 + 28*h - 8. Does 13 divide s(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 1. Suppose 4*n + 4 = -0. Let o(u) = -3*u + 4. Give n*o(j) - 2*w(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 5. Let k be (-1)\/(0 - j\/(-15)). What is the highest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 27. What is the remainder when l(0) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101202002001111 (base 3) in base 8?\nAnswer: 25617400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10 = 2*l + 4*w, -2*w = -3*l. Let d be -3 + (6 - l) + -4. Is 2 + d + 15*14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365993 times 0.09?\nAnswer: 32939.37","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11382864.\nAnswer: 2, 3, 237143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5209250 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -70*r**2 + 14*r + 14. Let s(d) = 23*d**2 - 5*d - 5. Let t(h) = -6*o(h) - 17*s(h). What are the prime factors of t(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33933093371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -3, -2\/5, -25 in ascending order.\nAnswer: -25, -3, -2\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66035 is divided by 260.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -645 + 7101\/11. Let j(u) = u**3 + 12*u**2 - 15*u - 350. Let y be j(-10). Which is the smallest value? (a) l (b) -0.06 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.9 + 2. Let a = 806\/3 + -268. What is the nearest to c in 0.5, a, 3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btttpttttttbtt. What is prob of picking 1 p and 1 t?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*m + i + 32, -72 = -5*m + i. Let q be 8\/m + 160\/(-35). Calculate the common denominator of q\/((-504)\/129) - -2 and -65\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1020\/210 + (-3)\/(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11001370 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -125295 plus 24.758?\nAnswer: -125270.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 3 - -4) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/14 + ((-9657)\/(-203))\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 394*v**2 + 1633*v + 16315. Determine c(-398).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (337\/((-417543)\/(-531)))\/(3\/6*3*2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/5724 and -71\/408.\nAnswer: 194616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1\/4)\/b)\/b)**(-42))**(-32\/3)\/((b**1)**(-9)\/((b**(-3)\/b)\/(b\/b**(-1)))) assuming b is positive.\nAnswer: b**(-557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.972*3878.\nAnswer: -3769.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2, -8, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139378 divided by 35.\nAnswer: -139378\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 + -9 + 38*-4. Let d = c + 149. Solve 2*i + 5*f + d*f - 8 = 0, 4*f = -4*i + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3411867 rounded to the nearest one thousand?\nAnswer: -3412000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0 - (1 - (2 + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 171379365 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q - 4. Suppose 5*o = 3*m + 5 - 8, 8 = -2*m. Let s be z(o). Solve 0*b - 13 = -5*i + 2*b, 5*b - s = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1796 + 0.8204. Suppose -16*o + 19*o + 9 = 0. What is the third biggest value in -2, o, 0.01, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*r = -17, 9 + 41 = 2*b - 2*r. Let g be (-6)\/(-9)*21\/(-35). What is the nearest to g in b, 0, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62928.78*12\nAnswer: -755145.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 2*l**2 - 3*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 73, 100, 121, 136, 145, 148?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11791457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*x + 65, 4*z - 4 = 3*x + 36. Let b = x - -51. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14357, 28755, 43171, 57617, 72105, 86647, 101255, 115941?\n\"Answer: 2*b**3 - 3*b**2 + 14393*b - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4947 (base 10) to base 3.\nAnswer: -20210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**2*s**3 + 477*m*s**3 - 1323*s**3 wrt m.\nAnswer: -4*m*s**3 + 477*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3 - 11 + i + 6. Let w be f(6). Let n(d) = -d**3 + 5*d**2 - 5*d + 4. Determine n(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 20. Suppose -m*r = -r + 90. Let c = -69 - r. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 30*d = -0*d - 616. Solve 5*i + 4*f + 28 = 0, 4*i + 4*f + 10 + d = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10269456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssvsssv. Give prob of sequence vv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1245 and -5073379.\nAnswer: -5074624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 1. Let g(l) = -4*l + 25. Suppose 0 = 1093*u - 1049*u - 44. Give u*g(f) + 3*q(f).\nAnswer: -f + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 62 = -4*n, -1262*q - 70 = -1261*q + 4*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7798 + -7763. Let x(u) = -350*u + 35. Let i(w) = -39*w + 4. What is q*i(y) - 4*x(y)?\nAnswer: 35*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/a**(-2\/9)*a)**(1\/36) assuming a is positive.\nAnswer: a**(19\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(216\/30)*(-276)\/207.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -490191227*a**4 - 1095390267*a?\nAnswer: -5882294724*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723616438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -193\/455 - 2\/455. Suppose 6*a - 39 = -5*p + 2*a, 5*p - 3*a = 32. What is the second smallest value in 1\/4, p, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -4*q**2 - 570*q + 5568. Let l(v) = v. Give l(r(k)).\nAnswer: -8*k - 570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.7, -0.028, 0.4, -2 in decreasing order.\nAnswer: 0.4, -0.028, -2, -5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -22 + (-10 - 0) + 9?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 225575 and 290025.\nAnswer: 2030175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 0*p + 4*p + 60, 3*r - 90 = 3*p. Suppose -r + 217 = 17*g. Solve 5*h + 3*d - 2 = 0, 4*h - d + 1 + g = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4511 and 26975?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3\/3 - 24125*t**2\/3 + 48259*t - 72393 = 0. Calculate t.\nAnswer: -24131, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 2, 7705, 5, 1253, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1162 divided by -14.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m**4 - 92*m**3 + 376*m**2 + 368*m - 1120 = 0.\nAnswer: -35\/6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00045902252 to seven dps.\nAnswer: 0.000459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45560 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 100 = 6*b. Let q = -18 - b. Solve 0*i + q = -r + 4*i, -r + 5*i = 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 32\/5 of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*q - 3)*(5 - 2 + 1)*(3*q**3 - 2*q**3 - 6 - 3*q**3 + (2*q**3 - 3*q**3 + 0*q**3)*(4 + 1 - 3)).\nAnswer: 32*q**4 + 48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 14*s**2 - 6*s + 5. Let p(g) be the third derivative of -g**5\/4 + 7*g**4\/24 - g**3 - 1664*g**2. What is -4*p(t) - 5*x(t)?\nAnswer: -10*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 31 = -15. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -70*t. Let j(z) = -14180*z**2. Give f(j(m)).\nAnswer: 992600*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**3 + c. Suppose -19*r = -25*r + 270. Let u = 1 + r. Let y = -47 + u. Determine g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by (15 - 3) + 1 + 0 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -345550232 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17006 and 50776.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**4\/y)*y**(-6)*(y*y**0)\/(y*y\/(y\/y**(-3))*y))\/(y**9*y\/y**(-7)*(y**(1\/2))**(-4)) assuming y is positive.\nAnswer: y**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 233 + -7457\/32. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 4*a - 8705 = 6*i, 3*i + 5*a = 5210. What are the prime factors of i?\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let w(u) = 132*u - 35*u + 595 + 25*u - 593. What is w(y(v))?\nAnswer: -122*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 2*v - 1. Let t(l) = 6*l**2 + 10*l + 6. Let y(w) = 11*d(w) + 2*t(w). Let u be y(1). Suppose 0*f + 3*f = u. Solve f = 4*x - 0*x - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 - -30. Calculate the remainder when q is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u**3 - 5*u**2 - 7*u - 1. Let g(v) = 20*v**3 + 9*v**2 + 13*v + 2. Let j = -12 - -23. Let s(a) = j*c(a) + 6*g(a). Factor s(i).\nAnswer: -(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/6 + (49\/42 - 6). Let h(z) = -z**2 - 5*z. Let s be h(l). Solve y - 3*i + 16 = s, 3*y + i - 5 + 13 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 2. Let r be n(3). Let z be r + 43 - (1 - -1). Suppose -g = y - 5*y + 6, z = 5*g + 5*y. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1136 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*c + 12 = 0, -2*w + w + c = 1. Let i be (-3 + w)\/(1\/(-16)). Suppose j = -j + i. What is the highest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25.7 - -27. Let c = m + -1. Let a be 11\/(-55) - 72\/40. Sort a, c, 5.\nAnswer: a, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24+-2562.369\nAnswer: -2538.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202508?\nAnswer: 2, 50627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -115736 divided by 1258?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 1:18 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 8. Suppose -g*f + 213 = s, -5*f = s + s - 431. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1)**(10\/9)*t**0*t\/t**(-2\/29))**(-1\/75) assuming t is positive.\nAnswer: t**(-859\/19575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 223825 divided by 35\nAnswer: 6395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 6*r**2 - 2*r + 1. Let a be o(9). Let c = 2200 + a. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3)\/h)\/h*h\/((h**(-5)\/h)\/h))\/(h*h*h**(-2)*h**(1\/4)))**(2\/37) assuming h is positive.\nAnswer: h**(11\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 148 + 110. What is the remainder when x is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(-9)*y*y*y\/((y\/(y**(1\/3)\/y))\/y)*y*y\/((y\/((y*y\/(y**(3\/10)*y))\/y))\/y)*y*y**(-1\/5) assuming y is positive.\nAnswer: y**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 1. Let c be u(6). Suppose -2*h - 24 = -4*r, -c*h = 7*r - 2*r. Solve r*j + 1 = 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43014 - 22?\nAnswer: 42442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t*t**(-1\/8)*t)\/t*t)))\/(t*t\/(t*t**(2\/13))))\/((t\/(t**(3\/7)*t))\/t**20) assuming t is positive.\nAnswer: t**(15621\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 3 (c) 2237\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(135))\/sqrt(5).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 5)*(4*n - n + n)*(2*n - 2*n + 2*n).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14088539287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 402723912 by -201361956.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 8*i**2 + 11*i + 19. Determine w(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 150*q**2 - 61*q + 6971. Determine d(75).\nAnswer: 2396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 68624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 3 + (-5 - -3). Let n be (3\/3 + u)*4. Suppose -8 = -0*s - n*s. Solve 5*v - 13 = -3*p, 0 = v - 4 + s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1687*z - 77614 = -237879 for z.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 120 = 30. Suppose 2*n - 8 + 1 = p, 5*n - 5*p = g. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 1. Let i(n) = -n + 2. Let l(g) = -g + 8. Let a = 7 + 0. Let h be l(a). Let u(y) = h*i(y) + 2*s(y). Let q(j) = -3*j**2. Give q(u(d)).\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-t + 2 - 2)*(-2*t + 4 - 4)*(645 - 837 - 975).\nAnswer: -4668*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28.7 and -0.3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o - 30 = 0. Let p(n) = -n - 12*n**3 + 5*n - 4*n**2 + 3 - o. Let k be p(2). What is k rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -89824, -89731, -89638, -89545, -89452?\n\"Answer: 93*j - 89917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (20 - 8)) + 14 - -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*n - 5, 4*l + 10 = 5*n + l. Suppose -1 = -4*a - n*y + 1, -5*y = 10. What are the prime factors of (-5 + a - -3)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 - 117 = 11*a. Solve 0 = -4*i + 16, t + 2*t = 5*i - a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19278 by -119.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, c: 7}. Give prob of picking 2 w.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*h**2*x**2 - 64*h**2 - 1011*h + 6*x**2 + 65*x wrt x.\nAnswer: 50*h**2*x + 12*x + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aooaaootatoaatt. Give prob of picking 2 a and 2 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-16)*4\/44.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2120 - 1365. List the prime factors of s.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*u, 0 = 2*u - w - 2 - 7. Solve 3 - u = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-84)\/22 + -1*4\/22. Suppose y - 127 = -y - 5*r, 0 = 4*y - r - 199. Let d = y + s. What are the prime factors of d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10996 + 11315. Calculate the remainder when 1590 is divided by z.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 7*v - 0. Is 8056 - (v + (3 - (-25)\/(-5))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = 2*z - 5*t, -173 = 2*z - 3*z - t. List the prime factors of z.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 115328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by -407\nAnswer: -60\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i + 2710 = -5*t, 0 = i - 5*t - 550. Calculate the highest common factor of 252 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -798177.74423 + 798182. Let a = c + -4.26. What is a rounded to 4 dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 390667298?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -3, -0.4, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1609152.6 hours?\nAnswer: 67048.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 56009362?\nAnswer: 224037448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -898 and 3.\nAnswer: -895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, f: 5}. Give prob of picking 1 g and 2 f.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010110100110 - 1101?\nAnswer: 1100010110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61963641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -6*x - 12. Suppose 3*v - 2 = 2*p, -v + 4*p + p - 8 = 0. Solve -v*l + x*l = 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 29 + 35. Let y be -1*(-1)\/(1\/7). Calculate the greatest common divisor of x and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = o - 2791, o - 5178 = -5*k + 1804. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -483*f**3 - 10 + 5*f + 244*f**3 + 241*f**3 + 8*f**4 + 3*f**2 to u*f**4 + s*f**3 + p + n*f**2 + l*f and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01074, 2\/9, 116\/9?\nAnswer: 0.01074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 461317069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c - 1736 = -21. Calculate the highest common factor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*j - 65*j - 73*j - 60*j - 50*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = 19*c + 348. Let b = -398 - c. Which is greater: -48 or b?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -12*w. Let c(x) = -178475*x**2. Give c(o(t)).\nAnswer: -25700400*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-14)*1 + (-13995024)\/(-336). Let q = 2082519\/50 - n. What is the common denominator of q and 53\/35?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(700) - (1*sqrt(700) + 2)))**2*-1 + (sqrt(84)\/sqrt(3) + -2 - (sqrt(56) + sqrt(224)\/sqrt(36))\/sqrt(8)).\nAnswer: -2 + 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 l when four letters picked without replacement from {h: 1, l: 1, g: 4, m: 1, b: 8}?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -752cbc (base 13) to base 11.\nAnswer: -1607a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + p**2 - 1. Let y be 2\/4 + 6\/(-12). What is t(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13514074, 54056302, 121626680, 216225208, 337851886?\nAnswer: 486506714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*((-116)\/(-24) - 4). Suppose c = -4*b - 19. Let s = -6 - b. Is 3\/8 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -162075 - 1655?\nAnswer: -163752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*k - 68 = -134*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 13) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 108 = -38. Suppose 6324 = t*b + 20*b. Is 62 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -4*c**7\/105 - c**5\/30 - 28*c**2. Find the third derivative of o(u) wrt u.\nAnswer: -192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2545 is divided by 2540.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyryzyftbttzyttyyft. Give prob of picking 1 z and 3 t.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - (-3 + 3))*(-901 - -1). Round c to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -1. Let q be (4\/w)\/((-4)\/6). Let x(p) = 36*p**2 - 2*p - 1. Is 12 a factor of x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 5. Let s = 39 + -35. Suppose -s*a - 4 = m*f, 4*a + 0*f = 5*f + 14. Solve i - a = -0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + u. Let a be 1\/(-2) + 7\/2. Let t(r) = -r. Let x(o) = a*d(o) + t(o). Find the second derivative of x(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1240 and 95\/1331636?\nAnswer: 13316360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 3*o - 4*t + 23, -21 = o - 4*t. Let a be (6\/(-16))\/(o\/4). Let x = 793\/5 - 159. What is the nearest to 2\/15 in x, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 788506 and 328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 406554628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/18)\/((-2)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402137*w - 27*w**3 + 402137*w.\nAnswer: -27*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31518 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 170100 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 3. Suppose -4*b + v = -60, 7*v = 2*v + 20. Suppose -z + b = i*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 168.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/15 and 45\/(-756)*1356\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215148 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/3586 and -111\/413042?\nAnswer: 4543462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 1.109, 2, 2\/5, 8, -3.\nAnswer: -3, 2\/17, 2\/5, 1.109, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c856 (base 13) to base 11.\nAnswer: 185002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 13) to base 3\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*f - 2, -5*f + 3 = -6*f + 3*a. Suppose f = -338*l + 332*l + 198. Calculate the greatest common divisor of 330 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97048.46 litres in millilitres?\nAnswer: 97048460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 11756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + y**2 - y - 1. Let g(i) = i**3 - 2*i**2 - 3*i + 2. Let z(t) = -2*a(t) - g(t). What is the second derivative of z(f) wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c**2 + 3*c - 2. Let u be m(1). Calculate the highest common factor of 9 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-1)\/3 - 0). Suppose -3*t = -42 - 0. Let d = t + w. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a week in minutes?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*s + 45*s + 42*s - 2 - 199*s + 68*s.\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 4:25 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o - 742 = 423 - 318 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.24? (a) -0.1 (b) 76 (c) 0 (d) -2\/443 (e) -145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266273 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 40677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/9 - (7 + (-2989)\/441))*7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16262121 equal to -16262121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - q - q - 17, 4*a - 4*q = -36 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**4\/4 - u**3\/2 - 3*u**2 - 4*u + 2. Let p(f) be the first derivative of n(f). Find z, given that p(z) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = -3*p - k, -4*k = -3*p + p + 314. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 7. Suppose 0 = -5*w - j + 627. What is the hundreds digit of (0 + w)*(-22)\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -55*v + 32. Let z(u) = u**2. Give b(z(o)).\nAnswer: -55*o**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 8 - 7 + 4 - 3*b**3 to the form w*b**2 + r*b**3 + y + k*b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-3)\/(-6)*-110. Let j = l - 43. What is the highest common divisor of j and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -11. Suppose x - 14 + b = 0. What is the units digit of 12\/x*(-40)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 3:49 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 51 = -38*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**4\/12 - 13*g**3\/3 + 7*g**2 + 2*g. Let q(m) = -3*m - 30. Let k(u) = -3*q(u) + 4*z(u). Give k(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5*m = -15, -2*y + 38*m - 32*m - 38 = -0*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -1871*m**5\/20 + 5895*m**2\/2 - 2581*m. What is the first derivative of d(j) wrt j?\nAnswer: -5613*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -44. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1453 divided by 3.\nAnswer: -1453\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7250, 14468, 21640, 28766, 35846?\nAnswer: 42880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -590.6325 + 592. Round a to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from {u: 3, a: 1, o: 2, s: 3, l: 2, p: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10 = p, 0*p = -3*a + p + 4. Let w = a + 11. Let j = w - 10. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-42))\/((-19)\/1824*16)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4526 (base 12) in base 6?\nAnswer: -55250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 4763700.\nAnswer: 1\/793950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(280)*-2*-6)\/(4*sqrt(20)\/sqrt(2)*3*1))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -271485 (base 16) to base 7\nAnswer: -30524634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*p - 377*p = 70*a + 1035, -a - 30 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/30 - 5*q**4\/24 - q**3\/2 - 6*q**2. Let c be t(4). What is the greatest common divisor of c and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -g + 12, i + 2*g - 136 = 0. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 93.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 2. Let t be i(3). Suppose -3*h - t*u = -0*h - 91, 4*h = -4*u + 124. Suppose 0 = 2*d - 3*d + h. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104025505.\nAnswer: 5, 20805101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w = 2. Let h(v) = 3*v - 11*v**2 + 1 + 4*v + 3*v**2 - 5*v. Calculate h(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 45 = 5*g, -3*g - 5*w = -w - 34. Let m be -2*(3\/1 - 4). Suppose 2*q - u = 5, q + q = m*u. Calculate the highest common factor of g and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 29*a - 61. Give p(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 1125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:15 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/8))\/(b*b**(1\/2))*b**6*(b\/b**(-9))\/b assuming b is positive.\nAnswer: b**(119\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + b = -2*b + 5, 0 = b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hchchcccchchhhhhchch. What is prob of sequence hc?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + t + 3. Let x(y) = 8*y + 6. Let k(q) = -10*q - 7. Let m(r) = 3*k(r) + 4*x(r). Let j be m(2). Is u(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 17 = -2*u + 4*k, 0 = 2*u - k + 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188779513?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*d - 35*d + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -41. Let i(h) = -19*h**3 + 2*h + 2. Let o be i(s). Suppose -4*p + 33 = -2*p + x, p - 2*x = o. Calculate the greatest common divisor of 51 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2610054?\nAnswer: 2, 3, 37, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 536, 2140, 4810, 8546, 13348, 19216, 26150?\nAnswer: 34150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {k: 2, u: 2, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -872*d - 15044. What is p(-17)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 19*h**2 - 7569*h + 253. Calculate w(97).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*21329.\nAnswer: 6398.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2863 - -4093. Suppose 3*a - p = -405. Let s = 138 + a. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9685*u - 29057*u + 2112*u**2 + 9693*u + 4 + 9677*u)*(-u - 3*u + u) to l*u + m*u**3 + p*u**2 + v and give m.\nAnswer: -6336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -105513, -105582, -105649, -105714?\n\"Answer: m**2 - 72*m - 105442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3054*k**2 - 2*k - 2232 wrt k.\nAnswer: -6108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 - 97. What is the highest common factor of 19 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*x - 418 - 2332. Suppose x*q + 1178 = 112*q. What are the prime factors of q?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 7:54 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1121*h - 401*h + 5760 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**2\/2 + 3*p - 3. Let a be d(0). Suppose 5*y + 3*m - 33 = 0, 3*y + 2*m - a = 16. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 173*z**3 - z**2 + 2*z - 2. What is r(1)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 1693*n - 1696*n + 3*u, 4*u + 80 = 3*n. Solve 16 = -8*q - n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.126 + -13.226. Let a = 13 + p. Sort 4, a, -4 in ascending order.\nAnswer: -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 8\/3427721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000683057696 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 12*z**2 - 120*z + 2877. Give o(19).\nAnswer: -1930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 14 = 3*w - 3*b, -w - 9 = 2*b. Suppose -2*l + 3*h + 15 = -l, 59 = 3*l + 5*h. Let k be l\/(-18) - 1\/(3 - 2). Put -3, k, w in descending order.\nAnswer: k, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 4. Let m(h) = -8*h + 17. Let s(g) = 4*m(g) - 18*t(g). Suppose 2*c - 4 = c. Does 5 divide s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46.77 + -45.77. What is the second smallest value in -3\/11, 66, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41082*b + 37 + 39 - 76.\nAnswer: 41082*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 23 + 942*s**2 - 919*s**2 + 55 - 16.\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -170 - -170. Suppose 3*v - 69 + 18 = a. Solve g + v - 19 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2 + 2)*(30*g**2 - 4*g**3 - g**2 + 5*g**3).\nAnswer: g**4 + 29*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 185, 389, 697, 1121, 1673, 2365, 3209?\nAnswer: 4217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 8:34 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven tenths of a centimeter?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(39)\/sqrt(3))*-2 + ((sqrt(143) - 5*(sqrt(143) + (sqrt(143)*-3 - sqrt(143)) - sqrt(143)))\/sqrt(11))**2.\nAnswer: -2*sqrt(13) + 5743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/229 (c) -12563\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102\/5 - -20. Suppose -10 = 5*a, 0 = -3*g + 6*g - 3*a. What is the nearest to u in -0.4, g, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from cooooocioocoooocooii.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10630507?\nAnswer: 37, 47, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 92116649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1108 + -315. Suppose -3*d + 782 + t = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2912 + 2959 + 3374 + 5796*x**2 - 2214 with respect to x.\nAnswer: 11592*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -81*b + 7. Let a be j(-14). Suppose 0 = -11*r + a + 916. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16937 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -722747, -722741, -722733, -722723, -722711?\nAnswer: -722697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/35)\/(416\/325).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3 + 14471968*a**2 + 13089866112064*a = 0 for a.\nAnswer: -1808996, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*k**3 - 22*k**2 - 3*k + 1.\nAnswer: (k - 1)*(4*k + 1)*(6*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u - 208 = -2005 - 315 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) -1\/10 (d) 138.4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -1\/5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/(30\/(-120)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -48042 (b) -4 (c) 3\/5 (d) 1 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 8:05 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.004923.\nAnswer: -0.0009846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168883186*h**5 - h**2 + 9592018 wrt h.\nAnswer: -10132991160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -y - 3*y. Which is the biggest value? (a) -3\/2 (b) -3\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -2*c**5\/15 - 2*c**4 - 10*c**3 - 50*c**2\/3 - 23. Factor k(o).\nAnswer: -2*o*(o + 2)*(o + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -5*d + 2*d - 11, 4*j - 3*d + 1 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 0*d - 5*d)*(0*d - 24 - d + 62).\nAnswer: d**2 - 38*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*f**3*t**2 - 17*f**3*t - 2*f**3 + 19*f**2*t**2 - 3*f**2*t + 21*t**2 wrt f.\nAnswer: 198*t**2 - 102*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**5 - 2*v**4 - v**3 - 2*v**2 + 4*v + 1. Let f(h) = -8*h**5 - 28*h**4 - 271*h**3 - 150*h**2 + 1307*h - 857. Let j(i) = -f(i) - 7*r(i). Factor j(c).\nAnswer: (c - 1)**2*(c + 5)**2*(c + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2. Let g(t) = -1221*t**2. Give g(q(y)).\nAnswer: -30525*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2595)\/630 + 9\/(-54)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50725449 - -0.3.\nAnswer: -50725448.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*y = 34 - 13, 5*k - 5*y - 5 = 0. Let n = 23 - -33. Suppose k*c - n = 49. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 192*s + 394*s + 14*s**2 - 200*s as m*s**2 + w*s + l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 + 12*j + 6. Let l(x) = -x - 1. Let p(i) = -6*l(i) - n(i). What is the second derivative of p(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121870*j**2 - 3*j + 121710*j**2 + 3*j to the form s*j**2 + x*j + q and give s.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -10*l**3\/3 - 14*l + 1. Let t(j) = -10*j. Determine 3*s(b) - 7*t(b).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -694, -766, -838, -910, -982?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/(-9) + 1*3. Let g = 3 + r. Let z = g - -18. Calculate the lowest common multiple of 10 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 12*k - 1. Let j be -3*(-20)\/(-36)*6. Is o(j) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*b**2 + 63*b**2 - 161 - 347*b**2 + 61*b**2.\nAnswer: -2*b**2 - 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8130093g?\nAnswer: 0.0000008130093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3950833814 to the nearest integer?\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 - u - 6 - 2*u**3 - 1 - 3*u**2. Let x(c) = c**3 + 6*c**2 + c + 6. Let s(q) = 5*h(q) + 6*x(q). Let z be 1\/(-2) + (-3)\/6. Calculate s(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 0.1585, 215, -3\/10?\nAnswer: 0.1585","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 - 88. Let f be 0 + 3 + (-364)\/49. Let d = -293\/63 - f. Sort w, d, 5, 1\/5.\nAnswer: d, 1\/5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 182\/5 (c) 0 (d) 2\/13 (e) 3 (f) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - 16623?\nAnswer: -16635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 15. Factor -b*q**4 + q**3 + 3*q**2 - 13*q**3 + q**2.\nAnswer: -4*q**2*(q + 1)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -34*l**2 - 174*l - 306. Let x(d) = 7*d**2 + 35*d + 61. Let p(k) = 3*t(k) + 14*x(k). Find w, given that p(w) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 4*t - 1. Let p be b(-3). Let d(j) = -j**2 - 9 + j**3 + 0*j**3 - 3*j**p - 14*j. Is d(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-3)*(30\/(-8) - -3). Find the third derivative of 11*u + 6*u - 17*u + 50*u**z + 161*u**3 wrt u.\nAnswer: 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203045 - 202964 + 31*o**3 - 34*o**3.\nAnswer: -3*o**3 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3423 + 1725 + 1698 + 6*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-28))\/(1155\/440).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*v**2 + 1069*v - 1069*v)*(1 - 6 + 3)*(-68*v + 121*v - 62*v) to y + t*v**3 + q*v + f*v**2 and give t.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) -0.2 (c) 0.2 (d) -6.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*v + 4*v. Suppose v = -11*h + 7*h + 20. Solve -h*f - 24 + 9 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 5*m + 2*m - 4*m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16542157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 47378.15 to the nearest 1000.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5, 0.7, -0.1, -275 in increasing order.\nAnswer: -275, -0.1, 2\/5, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 156790152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15 + 0 + -2 - 1. Let w = s - 26. Let u = w - -21. What is the remainder when u is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1509490251326.499978 - -1509491763761. Let r = 1512432 - x. Let q = r - -2.5. Round q to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 937 - 14*r**3 - 937 - 2*r**2 as g*r + l*r**3 + j + n*r**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 8*k - 3. Let o be y(7). Let z(a) = a**3 + 8*a**2 - 18*a + 14. Let b be z(o). Sort -4, -3, 0, b.\nAnswer: b, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 48 = 4*k, g + 7*k - 3*k - 24 = 0. What is the first derivative of -g*d**3 - 14 + 6*d**3 + 3 wrt d?\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 134.374 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - ((-1 - -5) + -9 + 7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 97. Sort k, 0, -3, -5 in ascending order.\nAnswer: -5, -3, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*v + 4*q - 5, 0 = 3*v + 5*q - 12. What is the remainder when 7 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i - 22. Give f(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/7 or -20\/49?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 265 - 51 = 3*j, 0 = 3*a - 5*j + 662. Let q = -1143\/5 - a. Determine z so that q*z**2 - 2\/5*z - 4\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 = -2. Let q = v - 0. Suppose 0 = 2*u + 3*h - 9 + q, -5*u + 4*h = -66. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 13 = -4*q. What is the remainder when 485\/194*168\/10 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a + 2*f + 3, a - 2*f - 13 = 0. Suppose -3*c = -z - 428, -5*c + 2*z + 704 = a*z. What is the common denominator of -63\/8 and c\/56 + (-1)\/(-4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44443 - 22760. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -5 (b) 1 (c) -0.1 (d) -0.2 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 454\/(-44) + 4\/(-22). Let w = p - -185\/18. Let q = 468 + -459. What is the second biggest value in w, q, -1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617 a factor of 3001152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (546\/65)\/(3\/10). Is 10 a factor of 110\/1 + k\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 899 divided by -24.\nAnswer: -899\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66317 by -4.\nAnswer: -66317\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 11*m + 6. Let j(i) = -4*i**2 + 59*i + 1. What is j(y(q))?\nAnswer: -484*q**2 + 121*q + 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p + 4 - 4 + 3. Let f = 55 - 58. What is the units digit of w(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5724 and 106?\nAnswer: 5724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-114)*(-48)\/(-5). Let c = 1\/19 + p. Let z = 446 - 446.1. Is z greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 26 + -25 - 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 5, s: 6, w: 2, q: 1, h: 1}. What is prob of picking 2 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 2:11 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -6\/7 (c) -4 (d) -433\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 12910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30*1426\/9660)\/((-4)\/(-30)*(-90)\/(-252)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4655411*m - 3540517 wrt m.\nAnswer: -4655411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 86a - a9169?\nAnswer: -a83aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24745839.\nAnswer: 3, 59, 251, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-441)*7)\/(6\/54)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14897.574 and 3.\nAnswer: 14900.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2370*n - 149315. Determine v(63).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - s = 8, p - 5*s - 14 - 6 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k = -13*k - 96 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -25410*g + 3. Let s(c) = -18*c + 2. Calculate n(s(d)).\nAnswer: 457380*d - 50817","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5203623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/12*6\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130931, -131052, -131227, -131456, -131739, -132076, -132467?\nAnswer: -132912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6416, -25650, -57706, -102584, -160284, -230806, -314150?\n\"Answer: -6411*j**2 - j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-10)*43\/86.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2793)\/(-42))\/7 - (1\/2 - 38\/(-4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2826*q + 0 - 16099*q.\nAnswer: -13273*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 644229367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106217\/465 - 296\/155. Is -231 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 101, 229, 409?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1. Let w(i) = 17*i + 1. Let h(y) = -16*y - 2. Let f(r) = 2*h(r) + 3*w(r). Let q(k) = -f(k) + 4*m(k). Is q(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5 - 4*x**2 + 4*x - 6*x**2 + 7*x**2 + 5*x. Let w be y(3). Which is the nearest to 0.1? (a) 3 (b) w (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0278762 rounded to 4 dps?\nAnswer: 0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 + 0*v**5 + 6*v**5 + (-v**3 - 2 + 2)*(-3*v**2 + 4*v**2 - 3*v**2) + 1 - 1 + v**5 + 5*v**5 - 2*v**5 + v**5.\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w + 6. Let i(l) = -21*l + 17. What is -3*i(h) + 8*k(h)?\nAnswer: 7*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/5910 and 29\/3120.\nAnswer: 614640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/5)\/f)\/f)**(15\/8))**(44\/5)\/((f*f**(2\/3))**(-10\/13))**(-3) assuming f is positive.\nAnswer: f**(-3503\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 41. Let x = -99.45 + 82.4. Let w = m - x. Is w less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 232788 = -76820. Suppose -45*d + 41*d + h = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30101576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1660 and 3154.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31070, -29873, -28676?\n\"Answer: 1197*x - 32267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 29*f**2\/2 - 5002. Let c(s) = -s**2 - 88*s. What is 2*c(v) + 7*q(v)?\nAnswer: -2*v**2 + 27*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k - 35. Let r = k + 11. Suppose -15 = -w - 2*m + m, 5*m + 69 = r*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 + 224ae6?\nAnswer: 224abf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(99) - sqrt(99)*-2)*3*-3 + -2 + (4 + (sqrt(99) + 0)*1)**2.\nAnswer: 113 + 105*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(19) - (2*sqrt(19) + 1)) + sqrt(19))*4 - (3 + (-4 + 2*sqrt(2299))**2).\nAnswer: -9203 + 176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -11*h + 13. Let s(c) = 5*c - 7. Let u(y) = -4*d(y) - 9*s(y). Let x be u(-20). Calculate the highest common factor of x and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*a - 574 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 1\/60*v**5 + 1\/24*v**4 - 61 - 2*v**2 - 5\/3*v**3 + 0*v. What is j(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0294 - 84.44121\nAnswer: -84.47061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310203248.\nAnswer: 2, 19387703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -187436521 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*s - 2*n, -13*s - 3*n - 25 = -15*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 5*m = 10276. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u - 7. Calculate j(-16).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 11*v**5\/5 - 29*v**2\/2 + 3*v + 1. Differentiate y(z) with respect to z.\nAnswer: 132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.186 take away -3?\nAnswer: 12.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 9711?\nAnswer: 19422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 5, -2.\nAnswer: -2, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 176063 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 + -3.48. Let c = 4 - v. What is c rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 - 30*p + 69. Determine h(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3\/5, 4, 11, -3, -5\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/46137690 and -111\/5126410.\nAnswer: 46137690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*t - 10843 = 0, -2*w - 4*t - 1959 = -12767. Let a = -3619 + w. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*o + 47, -2*o + 33 = -p + 4. Let h = 64 + p. Solve -4*q + u - 17 = 0, 3*u + h = -q - 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + g + 1. Let w(o) = 0*o**3 - o**3 - 6*o + 0*o - 8 - 6*o**2. Suppose 4*v - 1 = 15. Suppose v = 2*q + 2*q. What is q*w(b) + 6*d(b)?\nAnswer: -b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4\/7 (b) 4 (c) 0.5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 - 6273*g - 12551. Give b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*s**2)*(-3*s + 4*s + s) + 19 + s**3 - 19 + 54*s**3 + 5251*s**2 - 5251*s**2.\nAnswer: 59*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2\/2459 (c) -0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -420, -427, -448, -489, -556, -655, -792?\n\"Answer: -g**3 - g**2 + 3*g - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -12*q**4 - 5*q**3 - 5*q**2 - 5*q - 5. Let w(b) = -12*b**4 - 4*b**3 - 4*b**2 - 4*b - 5. Let s(v) = -4*a(v) + 5*w(v). Differentiate s(t) wrt t.\nAnswer: -48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 583034406 divided by 196374.\nAnswer: 2969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*x**3 + 4 + 54*x**3 + 11*x**2 - 29*x**3 + 27*x**4 wrt x.\nAnswer: 648*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-1 + 179 + 4. Round n to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**3*r - 6*a**3*u + 11*a**3 - 1194*a**2*r*u + 6*a*r*u - 1575*a*r + 1 wrt u?\nAnswer: -6*a**3 - 1194*a**2*r + 6*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -337 - -337.307. Is -2 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/1*1\/3. Find h, given that 5\/3*h**2 - 4\/3*h - 1\/3*h**3 + t = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t. Let d(g) = -g. Let v(c) = 40*d(c) + 5*p(c). Let w(q) = -9*q. Let y(m) = -269*m + 2158. Let x be y(8). Calculate x*w(f) + 10*v(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98.00000844 + 98. Round q to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -7 + 4 + 1. What is the third derivative of -m**3 - 2221*m**k - 32*m**3 - m**5 + 2250*m**2 wrt m?\nAnswer: -60*m**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-3))\/(2\/9). Suppose 3*d - 2*d - 2*p = 4, 4*d - 2*p = 4. Suppose -x + n = -d*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -57*i**5\/20 - 522*i**2. Let l(z) = z**2. Determine c(l(v)).\nAnswer: -171*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 3*q + 0 - 1\/6*q**3 - q**2. Determine g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - -3 - (-3 - (-9 + -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16377504 divided by -528.\nAnswer: -31018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4.6. Let u = -0.6 + g. Which is smaller: u or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-4)*(-16)\/(-42). What is the closest to o in -1\/8, 1\/3, -2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13497 + -13496.7. Sort r, -3955, 1\/6.\nAnswer: -3955, 1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2653 + -2030. Calculate the lowest common multiple of s and 28.\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 20*v**2 - 42*v + 47. Let m be g(-22). Suppose -h = -5*p - 4, -3*p - p = 4*h - 16. Solve m*n + 2*n + 5 = p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3500626 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16023821?\nAnswer: -16023821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80813*n + 80964*n - 1208 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 795654 and 2376?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95208143 - 1809568273\/19. Let w = d - -32276. Let p = w + 6031\/380. Find the common denominator of -31\/6 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 7*n**3 + 6*n**3 - 14*n**4 - 2 + 16*n**4 + 6*n as c*n**2 + j*n**4 + g + z*n**3 + l*n and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340881083?\nAnswer: 47, 83, 87383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -7 - 10 - 11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37065590 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 197320*x. Let g(u) = 5533*u. Calculate g(l(a)).\nAnswer: 1091771560*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*s - 96, -a + 5*a + 2*s = -130. Let x be a\/9 + 2 + 2. Sort 15, x, 5.\nAnswer: x, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l. Let d(s) be the third derivative of 9*s**5\/20 - 62*s**2. What is g(d(c))?\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5592513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) 0.2 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832756.9m to nanometers.\nAnswer: 832756900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.17.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119 + -119.1. What is the nearest to -0.1 in 10, -2\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**4 + 2 - 2*q**4 - q**3 - 3*q**2 - 7*q**4 in the form k*q**3 + h + m*q**2 + j*q**4 + w*q and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1353 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/8)\/(-4 - -1). Let r be (-10)\/40 - 1\/(-36). Let w be 1 + (-3)\/7 + -1. Which is the nearest to x? (a) w (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*u**2 + 112*u - 112*u + 5741888*u - 5741888*u - 521*u**2 + (0*u - 2*u + 0*u)*(2*u + 0*u + 0*u).\nAnswer: -544*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 - 48*i + 86. Let y be x(14). Let l(r) be the second derivative of 0*r**2 + 1\/80*r**5 + 0*r**3 + 0 + 1\/240*r**6 - y*r + 1\/96*r**4. Factor l(c).\nAnswer: c**2*(c + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-2)\/(-6) - -19. Suppose k - l = -4*k. Suppose -k*c - 844 = 4*u, u + u = -10. Round c to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131058 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = 2*l - 60. Let f be -2 - -6 - (-2 + l - 2). Solve f*x + 22 = c, -x + 4*x - 3*c = -21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k**2 - 2*k)*(-1 + 4 - 1) + 5*k**2 + 9*k**2 - 11*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.52449 to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*f + 12 = 182*f. Suppose f*d - x + 6*x - 98 = 0, 4*d - 3*x - 170 = 0. What is the least common multiple of d and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 56, 55, 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 109\/(-4) + 10\/40. Let c be 3\/(-5) - v\/45. Suppose -f + 33 + 2 = c. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032187516 rounded to 6 dps?\nAnswer: 0.000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 17*j + 11. Let d be v(5). Let m be 5 - (0 - (0 + -5) - (-34 + 11)). Which is bigger: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 12540.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 36. Let f be 34\/(-3)*(0 + -3). Let w = 54 - f. Calculate the remainder when k(w) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -450 - -545. Suppose 2125 = 3*a - 2*g, -3*a + h*g + 2117 = 91*g. List the prime factors of a.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(14\/9))\/(d**(-9)\/d*d) assuming d is positive.\nAnswer: d**(113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -23*s**2 - 2*s - 4. Let k(z) = -46*z**2 - 4*z - 9. Calculate -9*h(t) + 4*k(t).\nAnswer: 23*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -687 times 12.18?\nAnswer: -8367.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -6. Let i be 20\/(-6)*(-117)\/w. Suppose 0 = -k - 3*f + 31, -k - 2*k + i = 2*f. Solve -2*g = -3*q - 2, 7*g + k = -q + 4*g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.9 - 6?\nAnswer: 40.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 0 + 1 + m + 4*m + 7. Let t be d(-3). Let p(q) = -8 + 2*q - 3*q - 2. What is p(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273\/5 - (-2)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21 - -27) + 718\/(-120). Let w(h) be the third derivative of -1\/120*h**6 + o*h**5 - 4*h**2 + 0*h**3 + 0*h + 0 + 0*h**4. Let w(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 10 + 1. Let f be o - (1 - 4\/4). Solve 3*t - 2 = f*n + 4, 3*t = 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2438*p**3 + 87*p**2 - 908*p**2 - 314*p**2 + 7311*p**3 - 1960*p**3 wrt p?\nAnswer: 46734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*r - r**2 + 195*r**4 - 182*r**4 + 0*r to i*r**3 + q*r**2 + l*r**4 + a*r + h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-11 - (1 + -14) - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*g - 57*g = 10, 0 = p + 4*g - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lssl when four letters picked without replacement from sllsss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 271378565 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11000 (base 2) to base 14\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5*r + 220067, 18*a - 16*a = -4*r + 110066. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - a + 142411 = -82773, -120 = 15*a. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*k**2*q**3 + 4*k**2 - k*q**3 + 206*q**3 - 2275*q**2 wrt q?\nAnswer: 66*k**2 - 6*k + 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7182968429 - 0.02\nAnswer: -7182968429.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4568 from -478.4.\nAnswer: 4089.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32\/(-10)*330\/(-12)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3134 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 3*(4\/(-3) + 6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u + 11 = 6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1999 or 1968?\nAnswer: 1968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*d + 4, -4*d + 2*d + 4 = 3*b. Suppose c + b*c = 0. Factor -1\/4*k**4 - 1\/4*k + c + 1\/4*k**2 + 1\/4*k**3.\nAnswer: -k*(k - 1)**2*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/3 and 19\/211799?\nAnswer: 635397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 12) in base 10?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 8 + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 73*h - 55. Let t be s(25). Let y = 2745 - t. What is y rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/2*2\/3 + 19 + 478 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 16*k**2 + k - 2. Let i be g(2). Let l = 129 - i. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142205 (base 6) in base 9?\nAnswer: -20425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -1c5?\nAnswer: -1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 29. Let h(m) = -6*m - 11 + 11 + 7*m. Determine h(s(a)).\nAnswer: -a**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4872 is divided by 1216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Suppose 2*v + l*v = -4*k - 1772, 2*v - 5*k = -1754. Let w = v - -1253. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25598*f**2*p**3 - 144*f**2*p**2 - 286*f*p + 424*p**6 - 51*p wrt p.\nAnswer: -153588*f**2 + 50880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.499 in -0.1, 0.3, 4, -0.0627, -1\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 15*t + 48. What is b(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from {k: 3, g: 2, v: 4, a: 8}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 146.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*y + 109 + 207 = 28*y. Suppose -4*r + 8 = -0*r, r = -5*f + 2. Suppose 5*l = f, y*n - 132 = 5*l + 36. What is the remainder when n is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156735 by 1.\nAnswer: 156735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -5 + 1 - (-13 + 13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6407859083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (7 - (-10 - -13))) + 1 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 0 - 1 - h**3 + 0*h**3. Let s = 1 - 0. Let p(m) = 2*m**3 + 10*m - 9*m + m**3 + 1. Determine s*a(v) + p(v).\nAnswer: 2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -13. Let s = d + 6. Is s less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - 15*a**2 - 7*a - 8. Let z be g(8). Suppose z = 5*v - 6*v + 44. Let d = 72 - v. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033 is divided by (2\/(-6))\/(10\/3045*287\/(-246))?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2334 - 1312. Suppose p - n = -3*p - 3*i, 0 = -3*p + 2*i + 775. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 7:02 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by -310.\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -291 + 314.2. Let t = n - 23. Let q = -71\/2 + 37. What is the second biggest value in -2\/7, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0363, -3\/13, 6241?\nAnswer: -0.0363","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2 - 5 + 3 + b**3 + 4*b**2 - 7 - 15*b. Let t be p(-6). Solve t + 3 = 3*n + 5*s, -21 = -4*n + s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9c34a - ab6?\nAnswer: -a0133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285898 is divided by 1169.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -142?\nAnswer: 1\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -2\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 4. Let s be r(3). Suppose j + 0*j = s. Let t(g) = 30*g + 1. What are the prime factors of t(j)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000762993118 rounded to 7 dps?\nAnswer: 0.0000763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -20. What is the remainder when 47 is divided by (-3 + s)*(-24)\/14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*m + m = 4245, -p + 2*m + 840 = 0. List the prime factors of p.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3217763*w. Let r(y) = 11*y**2. Give v(r(q)).\nAnswer: -35395393*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 45*q**2. Let f(m) = 121*m - 61*m - 62*m. Determine f(d(y)).\nAnswer: -90*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181 + -180.5. Put k, 2.3, 2 in ascending order.\nAnswer: k, 2, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -5. Solve -z = -5*d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -43. Let m = -7 - -4. Put v, m, 5 in decreasing order.\nAnswer: 5, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2965 and 42696?\nAnswer: 213480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -2832, 1, 12.8, -3, 5?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {y: 2, n: 10}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 839424 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31, 553, 2221, 5611, 11299, 19861?\n\"Answer: 96*v**3 - 3*v**2 - 141*v + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (2 - -54) - (-1 - 0 - 0)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*q - 67*q - 6 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3191452190?\nAnswer: 2, 5, 59, 5409241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 1\/20*i**5 + 1\/24*i**4 - 2*i**2 + 0*i - 1\/6*i**3 - 1\/40*i**6 + 0. Is v(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h - 1. Let x(i) = -669*i**3 + 571*i + 6. Let f(y) = -6*v(y) - x(y). What is the second derivative of f(m) wrt m?\nAnswer: 4014*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -55. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 747 + 86. Let i = n - 522. Suppose 4*v = -3*t + i, 2*v - 3*t - 129 = 4. Calculate the remainder when v is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 7*p**2 + 0*p**2)*(-4 + 117*p + 12*p - 17*p) + (5*p - 4*p + p)*(p - 4*p + 2*p)*(-4*p + 5*p - 2*p) + (2*p + 0*p - p)*(-2*p**2 + 2*p - 2*p).\nAnswer: 784*p**3 - 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*6\/(-4))\/(5\/(20*25\/(-1350)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 2*u - 79, q = -5*u - 3381 + 3559 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5925*c*h**2 - 197235394*c + 5212*h**3 wrt h?\nAnswer: 11850*c*h + 15636*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15102.27 days?\nAnswer: 1304836128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59.203 - -0.203. Let p = j + 58. What is the smallest value in p, -0.2, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32.779 + 33.779. Let r = 0 + 1. What is the nearest to r in l, 4, -58\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262735932?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/25 + 90\/(-225). Let w(z) be the first derivative of -1\/5*z**n - 4\/5*z + 9 + 2\/15*z**3. Solve w(c) = 0 for c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 9*o**2 - 11*o - 15. Let y be a(11). Suppose h - 5*q = -y, 3*h - 2*q + 305 = -0*q. Let p = h + 234. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -92 + 43 - 267*g + 49 as l + z*g and give z.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjeenjesenjnde. What is prob of sequence sez?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02537 + 161.97463. Let x = 187.828 + 0.972. Let b = l - x. Round b to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -3, 4, 640, 9, 1\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2*p = -12, -u - p = -3*p for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5 + sqrt(125) + -1 + (sqrt(125) - (sqrt(125)*-1*-2 + sqrt(125))) - (1*sqrt(125) + 5 + 1*(-2 + sqrt(125) + sqrt(125) + sqrt(125)))) + 0)**2.\nAnswer: -100*sqrt(5) + 3129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 187403 + 281941 = 0. Suppose -28*u + 12132 = -s. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3211 + 404. What are the prime factors of p?\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -3*c + 92. Let a = c - 70. Let g be 17\/4 - (a\/20 + 0). Solve -r = -g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -251 - -351. Suppose 160 = 5*u + k. Calculate the lowest common multiple of u and 19.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 865*y**4 + 908*y**3 + 1668. Find the third derivative of l(j) wrt j.\nAnswer: 20760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*p + 1578, 2*y - 3*p - 3204 + 3 = 0. What are the prime factors of y?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 42*l**2. Let f(h) be the first derivative of -h**2\/2 + 7. Give q(f(a)).\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ec1 (base 15) in base 11?\nAnswer: -141aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, -231 in increasing order.\nAnswer: -231, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*r + 5 - 24*r - 5 + 30*r**3 + 154*r**3 wrt r.\nAnswer: 1104*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 429 * -17.\nAnswer: -7293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.289 and -0.04?\nAnswer: -0.01156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 8*h - 7. Suppose 0 = 3*j + 3*v + v + 31, j = -5*v - 25. Give c(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) - sqrt(784)*1)\/sqrt(8) - 5*((sqrt(2)*-1)**2 + 4).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.64 + -1.49. Let d = w + -0.15. Let l = -2 + 1.5. Which is the third biggest value? (a) l (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24582 + d**3 - 24569 + 8*d**2 + 17*d + 49161 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48\/25 or -1?\nAnswer: -48\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {x: 5, g: 3, e: 6, k: 1, r: 1, d: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-9) + 3\/9. Let l = -113 + 113. Which is the biggest value? (a) -0.2 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*v**2 - 11*v**3 - 21*v**2 + 4*v**5 + 14*v**2 + 334*v - 12*v**3 wrt v.\nAnswer: 80*v**3 - 138*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -9)*4872\/105. Let p be 7\/(1 + 0 + 0). What is the units digit of (-1)\/p + r\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2138244076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.86 - 3.06. What is the fourth biggest value in 2\/19, -4, u, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2. Let m(z) = z**2. Let o(d) = -4*m(d) + 3*r(d). Suppose 0 = -p + 3*p + 8, -13 = -3*u + 4*p. Determine o(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1985 + -1301. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - j - 1. Let s(v) = -6*v**3 - v**2 + 3*v + 3. Calculate -6*n(r) - 2*s(r).\nAnswer: 6*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*m - 485*m**2 + 428*m**2 - 9 - 11*m to d + z*m**2 + o*m and give z.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 3, -0.6, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 325 + -321. Suppose 3*r - 383 + 117 = -t*l, 0 = 3*r - 6. What is the highest common factor of l and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 1:50 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386171 equal to 1386181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 4*j - 6*j - 4*j.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/3 - 2536427*g**2\/3 + 15218534*g\/3 - 20291368\/3 = 0. Calculate g.\nAnswer: 2, 4, 2536421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19985, -40044, -60103?\nAnswer: -80162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 3788658?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -25. Suppose -5*x - d*w + 40 = 3*w, -4*x - 2*w + 22 = 0. Let i(o) = o**3 - 3*o**2 - o + 1. Determine i(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**4\/4 + 11*a**3\/3 + 9*a**2\/2 - 29*a + 19. Let b be h(12). Let q = 123 + b. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 + 8*c - 4. Let l(d) = -d**2 + d. Let h(m) = -3*l(m) + w(m). Calculate h(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3731532525 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 539*u - 5994. Calculate p(11).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10205, -15062, -19919, -24776, -29633, -34490?\n\"Answer: -4857*x - 5348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2919 and 152622?\nAnswer: 1068354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 8*s - 13. Let m be z(5). Let k(o) = -o**m - 2785 + 2785. Calculate k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3*(-6)\/(-118). Let f = c - -29\/885. Let m = -60 + 61. Which is greater: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4040300 at most -4040302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11278, 11190, 11092, 10984, 10866, 10738, 10600?\n\"Answer: -5*c**2 - 73*c + 11356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5491471.\nAnswer: 101, 54371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 130234 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*q + 5 + 14 = 0, -q = 3. Let p(c) = -c + 8. Let j be p(i). Suppose -j*f = -7*f - 6500000. What is f rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(-1 + 1 + 1). Suppose -3*x + 5*k + 43 = 0, z*x + 2*k - 25 = k. Solve 2*j + x = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - x**2 - x - 8. Let i be n(0). Does 13 divide i - -28 - (-1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 424937 divided by -14653.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 25*s = -14*s - 18. Let d(p) be the first derivative of -p**4\/4 - p**3 + p - 1. Calculate d(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 413049\nAnswer: -2\/413049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -72*n**5\/5 - n**3\/3 + n**2 - 164*n - 292. What is the second derivative of q(y) wrt y?\nAnswer: -864*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1 - 10 = 0. Solve s = 3*q, -2*q = -d + 2*d + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57555 and -7.\nAnswer: 402885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 5*j**2 - 6*j - 4. Let u be o(-4). Let b be ((-98)\/(-3))\/(u\/12). Suppose -g + b = -2*g. What is g rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3241937 is divided by 1377?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/13))\/(w*w**(-37)*w))\/(w*w*w\/w**14)**5 assuming w is positive.\nAnswer: w**(1185\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-5 - (-10 - -4)). Solve -5*j = -0*o - 2*o - a, j + 4*o = 23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57.3 - 62. Let o = w - -5. Let p = -37 + 110\/3. Sort o, -2, p in ascending order.\nAnswer: -2, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31454129, -31454128, -31454127, -31454126?\n\"Answer: b - 31454130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18748 and 277296.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 1, u: 2, p: 1, h: 1, e: 1}. Give prob of sequence peu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 8, 55 in decreasing order.\nAnswer: 55, 8, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h + h)*(-1 - 2 + 2) - 3*h + 0*h + h + 0*h - 3*h + 2*h + (-377 + 323 + 306)*(0*h + h + 5*h).\nAnswer: 1507*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1988 is divided by 1488?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1852 to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2406705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 562 = k, -1034 - 146 = -2*k - 4*y. List the prime factors of k.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1204)\/12 - (-2)\/(-3). Let t = z - -57. Let q = -41 - t. Solve p = -q*i - 1, -4*i + 9 = -9*i + 2*p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o**2 + 14*o**2 + 18*o**2 - 5 + 29*o**2 - 64*o**2.\nAnswer: 22*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-230)\/(-6) - 46\/(-69). Let o(m) = -m + 18. Let u be o(0). Let k be u\/(-5)*(-130)\/p. What is the highest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548729.3ms in nanoseconds?\nAnswer: 548729300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.595616 and 278813.6.\nAnswer: 278813.004384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/(-17) - (-20)\/170.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401779622.\nAnswer: 2, 79, 167, 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4914404464 to the nearest integer?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 291, 468?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjvjjjvvjjvjjjvjjv. Give prob of sequence vjvj.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/7)\/r**19*r**(-21)\/r*r*r**12 assuming r is positive.\nAnswer: r**(-199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2554501*k + 2563048.\nAnswer: -2554501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2558603 is divided by 362.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5\/7)\/(i*i**(4\/7)*i*i)*i**0*i**(-15)\/i assuming i is positive.\nAnswer: i**(-142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 2665341.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92.392 + -0.392. Let h = -130 + w. Which is smaller: 2\/9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5203 rounded to the nearest one hundred?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.336304299 - 1.9?\nAnswer: -10.236304299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -17*t**2 + 1. Let h(g) = -2*g**2 - 2176*g. Determine h(n(k)).\nAnswer: -578*k**4 + 37060*k**2 - 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from kqqqkkkg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12930, 47950, 106318, 188034?\nAnswer: 293098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11*92\/1518)\/(-6)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53537 and 1243?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 7*d = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, i: 6, w: 1, j: 5, t: 2, n: 2}. What is prob of picking 1 o and 2 t?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 3\/1)\/((-5)\/(-3310)). Let y = j + -664. Which is the third biggest value? (a) 4 (b) y (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6273 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-14) - (-42)\/(-49). Let j = -9.99 - -10. Sort a, 4, j.\nAnswer: j, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326762 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 540 = -2*j. Suppose 0 = 5*v - 0*v + j. Let k = v - -57. Calculate the highest common divisor of k and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24\/35 or -1?\nAnswer: 24\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6300708+-178214\nAnswer: -6478922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/102615?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/5 + 1328*w**2\/5 - 2448*w\/5 - 12672.\nAnswer: -4*(w - 330)*(w - 8)*(w + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5665)\/(-65) + 6\/(-39) - -4. Let y = 510 - q. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzur when four letters picked without replacement from {t: 1, z: 2, v: 2, r: 6, u: 6}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2773*u - 1 = 2772*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*k**2 + 15*f**2*k*w - 2*f**2*w - 5*f*k**2 + 6*f*w + k*w - 2 wrt f.\nAnswer: -2*k**2 + 30*k*w - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3 + 1. Let d(s) be the third derivative of -41*s**4\/24 + s**3\/6 + 3*s**2. Is d(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8177 + -5564. List the prime factors of t.\nAnswer: 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -332*k**3 - 2*k - 3*k**4 - 2*k - 335*k**3 - 10*k**4 - 3*k**2 + 669*k**3 to the form z*k + r*k**2 + h*k**4 + s*k**3 + b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 27. Let x be y(23). Suppose 5*v - 17023 = x*q, -3*v - q + 3410 = -2*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -3. Suppose z*w - 6*w - 11000000 = 0. Round w to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -22*i + 8381. What is the greatest common factor of i and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 547, -5, 2.\nAnswer: -5, 1, 2, 547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6139000 rounded to the nearest 100000?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1219 by -23.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1753, 1894, 2083, 2320, 2605, 2938?\nAnswer: 3319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 36*l + 24. What is the remainder when (2\/3)\/((-6)\/(-855)) is divided by h(-36)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-5)\/(-2)*28\/(-35). What is the third derivative of 28*r**4 + 2*r**h + 2*r**2 - 4*r**2 wrt r?\nAnswer: 720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22826420 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 12*i + 62. Let r be v(-5). Let m be 12\/(-30)*(3 - 23). What is the highest common factor of m and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4154*t**2 - 26*t - 27. What is the tens digit of s(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*r + 8 + 28 = 0, -5*r - 20 = -o. Suppose 2*k + 0 = o. What is the greatest common factor of 35 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (6 - 4) + 0 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j = 33*j. Let c be 42\/9 - 1\/(-3). Suppose -2*g - y + 39 = j, g + 0*g = -c*y + 33. Calculate the highest common divisor of g and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3073, 11609, 25835, 45751, 71357, 102653, 139639?\nAnswer: 182315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1373*c**2*q**4 + 5*c**2 + 367*c*s + 3*q**3*s + q**2 wrt q.\nAnswer: -32952*c**2*q + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 29404*k - 1 + 2*k**2 + 2.\nAnswer: -k**2 - 29404*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 904, 3014, 6796, 12676?\nAnswer: 21080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 40. Let y = t - -15. Suppose 5 = v - y. What is the lowest common multiple of v and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 831525 in increasing order.\nAnswer: -3, 0, 831525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 66*t + 7. Calculate n(-33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 + 8*j**2 + 340 - 340 + j**4 in the form w*j + o*j**3 + u + t*j**4 + h*j**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2 - 1275*j + 1276 = 0.\nAnswer: -1276, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffppdbpmfbjmffjjff. Give prob of picking 1 j and 1 m.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*z = 58*z - 48 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -10*t + 88. Let z = t - -65. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:17 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -25 + 35. Find the third derivative of -5 - 3*p**2 + 983*p**5 + 17 - 1083*p**v wrt p.\nAnswer: -6000*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54cd (base 14) to base 10.\nAnswer: -14685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25116*u - 1484*u**2 - 23984*u + 49100*u.\nAnswer: -1484*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/28)\/(4\/(-1218)). Suppose 3*o = -j - 99. Calculate the common denominator of -68\/3 and ((-2)\/15)\/(12\/o).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158091 is divided by 2027.\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 1\/11, -4\/7, -2\/21?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, 0.4, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/7)*t**(1\/5))**(2\/5) assuming t is positive.\nAnswer: t**(114\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 11:04 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12846 or -5382520\/419?\nAnswer: -12846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 219*k**2 - 4*k + 15*k**4 - 6 + 3 + 2*k**3 - 217*k**2 + 2 to the form y*k**3 + t + x*k**4 + c*k + o*k**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1512, -0.5, 29 in increasing order.\nAnswer: -1512, -3, -0.5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3*o - 2)*(o**2 - 2*o + 2*o).\nAnswer: -3*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*j + 22 = 0, q - j = -q + 10. What is the remainder when (0 + -1)*(0 + -7) is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -4, -1, 0 in decreasing order.\nAnswer: 0, -1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -580 - -570. Calculate the remainder when (6\/s)\/(93\/(-55645)) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1, 0, 0.5, 2 in ascending order.\nAnswer: -13, 0, 0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 182*k + 1173. Let y be d(-6). Put 5, -1, 1, y in decreasing order.\nAnswer: y, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 67 = -h - 2*h, 4*h - 201 = -3*p. Solve 10*b - 17 = -p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.4. Sort 2\/7, 1\/2, t.\nAnswer: t, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 6 + l**2 - 1 + 3 + l**2. Let j be (-2 - -1)\/((-2)\/(-8)). Let v be r(j). What is the greatest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6194*i - 2953*i + 81025 = 0 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 24. Which is the closest to -4? (a) n (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12263 - -12266. Solve -4*q + 11*v - 24 = 13*v, -4*v = -q + z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 10:50 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 613, -0.3, 0.5 in decreasing order.\nAnswer: 613, 0.5, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 minutes after 5:01 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -223 + 628. What is the hundreds digit of 6\/4 + (-3)\/(-6) + y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5566 - 9*n - 5600 - n**2 + 2*n**2 to the form p*n + y*n**2 + m and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1346*g - 189. Is c(-26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -30880*n + 30856*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 10*a - 122. Suppose 5*n - a*n = -465. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + -17 + 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3342, -3344, -3346, -3348?\n\"Answer: -2*p - 3340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 37037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 3*a + 4*a)*(-59 + 59 - 4*a).\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41d (base 14) to base 7.\nAnswer: -2236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -59*y + 644. What is q(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2717.048, -0.4, -36?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 68?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 4:57 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 3*v - 6*v + 4*c, -147 = -2*v + 3*c. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1145*p*v**2 + 825*v**2 wrt p?\nAnswer: 1145*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -36572*u + 6819. Is r(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 455*o**3 - 702*o**2.\nAnswer: 2730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -8. Let v = 12 - 9. Suppose 0 = -v*f - y - 12, -6*f = -2*f + 4*y + 24. Put f, k, -4 in decreasing order.\nAnswer: f, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.5 - -4.1. Let o = 100\/9 + -682\/63. Which is the nearest to o? (a) -0.3 (b) v (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 4378596.\nAnswer: 39407364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 48*b**2 - 5*b - 4. Let j(t) = t**3 - 4*t**2 + 5*t - 21. Let u be j(4). Let c be w(u). What is c rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 17*g**2 + 38*g - 17. Let a(b) = 15*b**2 + 33*b - 16. Let r(d) = 7*a(d) - 6*m(d). Let x(s) = -3*s - 3. Let n be x(-2). Is 5 a factor of r(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**2. Let j(t) = -10112*t + 11 - 10109*t + 1 + 20219*t. Give i(j(y)).\nAnswer: 20*y**2 - 240*y + 720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4441040 divided by 4\nAnswer: -1110260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 b, and 1 h when three letters picked without replacement from ohptppobptbttpopp.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:14 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + k**2 - k**2)*(2*k + 0 + 0) + 66*k**5 + 66*k**5 - 118*k**5.\nAnswer: 18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - -2 - (-46 - -66)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*l + 5)*(3 - 4 + 3)*(255 + 400 - 552) + 1 + 2*l - 1.\nAnswer: -616*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 + 4*t**2 + 3*t**2 + (-2 + t + 2)*(-2*t - t + t) - t**2 - t**2 + 0*t**2 - 1 - 2*t**2 + 1 - 7*t**2 + 3*t**2 + 6*t**2 - 10*t + 0*t + 0*t - t**2.\nAnswer: -3*t**2 - 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 99 + 31. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2145 + 2144.9. Put -0.04, 5, 0.5, j in decreasing order.\nAnswer: 5, 0.5, -0.04, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74161157.\nAnswer: 7, 17, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 153098 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14414675 is divided by 72073?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 227787 + -683354\/3. Factor -1\/6*z**2 + m + 5\/6*z.\nAnswer: -(z - 7)*(z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/6*5\/(-5)*-3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -58, -121, -188, -259, -334?\n\"Answer: -2*y**2 - 57*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/16 - 17\/36. Suppose 8 = 12*j - 14*j. Let k = 2 - 1.9. Sort x, k, j in increasing order.\nAnswer: j, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 + 3*m**2 + 3*m - 1. Let x(a) = -8*a**3 + 12*a**2 + 13*a - 4. Let b(t) = -9*r(t) + 2*x(t). Determine b(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - 75. Let y = -98.9 - w. What is y rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e0171 + 3?\nAnswer: 4e0174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011 + 101100010100?\nAnswer: 101110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10654756457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (312\/38)\/((208131\/(-2926))\/(-901))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3160, -6302, -9418, -12508, -15572, -18610?\n\"Answer: 13*g**2 - 3181*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1456060 + -50?\nAnswer: -1456130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 4*f**2 - 205*f**3 + 220*f**3.\nAnswer: 15*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 greater than -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(288)*-5)**2.\nAnswer: -240*sqrt(2) + 7204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 10. Suppose 0*z + 4575 = q*z. Suppose -4*x + z = -x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 f, and 2 v when four letters picked without replacement from {a: 1, v: 2, q: 4, r: 2, f: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 0 - c + 0*c**2 + 1\/12*c**4 + 0*c**3. Let z(h) = 2*h. Give r(z(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**4 - 5*z**3 + 0 - 4*z**4 + 2 - 2*z**3 + 7*z - 3*z**4 to w*z**2 + m*z**4 + x + i*z + y*z**3 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 23*f**3 - 11*f**2 - 56*f. Let q(r) = -11*r**3 + 6*r**2 + 28*r. Let p(a) = 6*b(a) + 11*q(a). What is the second derivative of p(o) wrt o?\nAnswer: 102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -260085158 and 4.\nAnswer: -1040340632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028524 to 7 decimal places.\nAnswer: -0.0000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4727721*n - 56*n**2 - 4727721*n.\nAnswer: -56*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 3676.\nAnswer: -367.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -1\/608620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 11532\/7*s**3 - 1\/7*s**5 + 0 - 186\/7*s**4 - 238328\/7*s**2 = 0.\nAnswer: -62, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 17*i + 4. Let o be p(4). Calculate the greatest common factor of o and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 375678462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.11 + 6.89. What is the second smallest value in -3, 2, 2\/5, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*l**2*m - l*m + 764*m + 2 wrt l.\nAnswer: 8*l*m - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 348\/14 - (-6)\/42. Calculate the highest common divisor of 275 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863*i - 14 + 2 = 866*i, 0 = f + 4*i + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 20. Let k = 25 - -5. What is the remainder when k is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -15*r - 4*b + 1, -b + 23 = 2*r. Solve 3*m - 3 = -s + 2*m, -4*s - 3*m = -r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 355855 = -7*h - 355275 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 3*b. Let c be k(3). Let x = c - 16. Calculate the remainder when 4 - 4 - (-22 - -1) is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swwswwwwwwww. What is prob of picking 2 w and 2 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122122 + -11121122202?\nAnswer: -11121000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b6aa (base 15) to base 9\nAnswer: 57887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2529\/20 != -126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from zfffffnfaeftntft.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -32. Solve -7 = -b*m + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36481*v**4 + 603*v**3 + 113583942*v**2?\nAnswer: 875544*v + 3618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 - 14 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 9:39 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -37906.96 to the nearest 100.\nAnswer: -37900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 22*s**2 + 59*s - 5. Suppose 4*g + 3*n = -n + 24, -4*g = -2*n. Let j(z) = 10*z**2 + 29*z - 2. Let o(a) = g*p(a) - 5*j(a). Let o(c) = 0. Calculate c.\nAnswer: -9\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 3*x**2 + 9*x. Let p(d) = d**3 - d**2 + 2*d. Calculate -2*f(o) + 9*p(o).\nAnswer: 5*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2054226438?\nAnswer: 2, 3, 11, 103, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 3.21349\nAnswer: -0.642698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, d: 11}. What is prob of sequence ud?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:31 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -59 - 41. Let b be (-287)\/(-5) - (-15)\/i. Suppose -3*q + b = 2*x, 3*x - q + 3*q - 92 = 0. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 + 128*g + 1441. Give d(41).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125\/323482 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - 10595*n + 5298*n + 5297*n - n**2.\nAnswer: -n**2 - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 654, 5420, 18410, 43734, 85502, 147824, 234810, 350570?\n\"Answer: 685*u**3 + 2*u**2 - 35*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 232455090 to the nearest 100000.\nAnswer: 232500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(7\/(-63)*(-2)\/(-1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 479 - 482. Which is the closest to -3\/7? (a) 2\/9 (b) 1 (c) 4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 3)\/2*2. Let x(y) = b + 0 + 3*y - 6. Let w be x(8). Solve -4*j = -0*j - w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 110, 210, 396, 692, 1122, 1710, 2480?\nAnswer: 3456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1705 (base 12) to base 5\nAnswer: 41431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 434993 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 1971?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -2*m**2 - 6*m - 9. Differentiate f(n) wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 + 3 - 3 + (-x - 1 + 1)*(-2 + 2 - x**3) - 301*x + 138*x + 137*x - 3*x**4 to the form u*x**4 + s + c*x**3 + v*x + y*x**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -415 - -412. Let g(h) = -h**2 + 7*h - 6. Let x be g(5). Put -8, l, x in decreasing order.\nAnswer: x, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 3, m: 2, z: 7, l: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*3*(-3)\/15*509\/5090?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4176*a**2 - 2193*a**2 - 1982*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**6\/120 - p**5\/60 - p**4\/24 + 4*p**2. Let l(a) = 2*a**2 + 2*a. Calculate l(y) + 2*u(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 880538660\/9 greater than or equal to 97837630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 100\/55*1\/(-2). Let s = n - -41\/33. Which is the smallest value? (a) -2\/9 (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(14)\/sqrt(72))**2 - ((sqrt(448)*-2 + sqrt(448))**2 + sqrt(448) - sqrt(448))).\nAnswer: -16121\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1241 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b = 10 + 11 + 267 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-68)\/5)\/(8\/40). Let x be (z\/(-8) + -1)*6. What is x rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*p = 80, 2*k - 4*p - 9 = 39. Suppose d - k = -4*r, -d = -2*d + 5*r + 28. What is the highest common divisor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 153*1 - (4 + -2). Suppose 0 = -10*q + 512 + 2208. Let h = q - j. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 27*v**2 + v + 1. Suppose 0 = l + 4*o - 9 - 2, -l + 2 = o. Let x be c(l). Is x smaller than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185 + -115. Suppose 12*k + 2*k - d = 0. Solve -f + 0 = k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619 is divided by (6*5)\/(-3 - (-44)\/12)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 8*i**2 - 408. Let p(v) = v**3 - 22*v**2 - 1226. What is -4*p(x) + 11*q(x)?\nAnswer: -15*x**3 + 416","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91\/15 + -6. Let a(r) be the third derivative of 1\/6*r**4 + 4*r**2 + 0*r**3 + 0*r + 0 - b*r**5. Find the second derivative of a(u) wrt u.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14, 0.4, 869\/4, -589 in descending order.\nAnswer: 869\/4, 14, 3, 0.4, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 7*x**2 - 7*x + 30. Calculate the remainder when g(-6) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.071499, -1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - x + 28244. Let v be s(0). Let o = v - 196739\/7. Let a = o + -139. What is the third smallest value in a, 1, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48 - (-5 + 9))*(68\/8 - 9).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 2*y - 11 = 17*g - 5*g - 23 - 13, 176 = -16*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c**4\/2 - 181*c**3 - 3333*c**2\/2 - 1049*c + 440 = 0.\nAnswer: -40, -11, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b3 (base 15) to base 2.\nAnswer: -10100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3357648?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 496767, 1987032, 4470815, 7948122, 12418959, 17883332?\nAnswer: 24341247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/10*1*-2. Let t = 4 - g. Let m(k) = -2*k**3 - k**2 - k - 1. What is the units digit of m(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/((n*n**(-2)\/n*n)\/n))\/n)\/n**4)**6)**(-28) assuming n is positive.\nAnswer: n**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6046?\nAnswer: 2, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, e: 1, t: 2, l: 1}. What is prob of picking 1 e and 2 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/60 - 7*z**3\/2 - z**2 - 7844. Let i(a) = -a**2 + 1. Let w(y) = -y + 4. Let t be w(5). Let q be i(t). Calculate p(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1550 and 493430.\nAnswer: 76481650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.9 - -3.6. Let k = r - -0.3. Let a be 1\/(-2) + (-1 - -2). What is the nearest to a in -4, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 3. Let m be 2\/(-2) - (1 + -2 + 4). Give b(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1*-4)\/(sqrt(9) - sqrt(36)\/(sqrt(64) + sqrt(4) - sqrt(4)))*5 - (-1*(-3 + (1 + sqrt(17))**2) + 3 + sqrt(17)*-1 + sqrt(272) + 1).\nAnswer: 11 + 77*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.51. Let q = -19.221 - -19. Let o = q + c. What is o rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 812 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 12 = 5*x. Suppose 2*o + 2*i = 0, 5*o - x*i - 18 = 2. Solve w + 15 = -o*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -81050.\nAnswer: -4\/8105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**5\/30 + 13*o**2. Let h(w) = -19*w**2. Determine r(h(c)).\nAnswer: 722*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*m + 16, 0 = -29*n + 39*n - 12*n - 4*m - 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b7 (base 15) to base 16.\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9547*r + 5050363. Determine q(529).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0. Let d = -1.2 + 1.2. What is the third smallest value in -0.5, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let t = 0.014 + -2.014. What is the nearest to -0.1 in 0.2, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2 + 5 + 3 + 7*z**2 - z**3 - 7*z - 2. Let g be x(6). Solve 3*q - 5*t - 2 = -0*t, 0 = -3*q - g*t + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 10:34 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 3606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132906 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*k + 20956 = -478*k - 1724 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/7 + 4*c**4\/7 - 6*c**3 + 44*c**2\/7 + 40*c\/7 - 48\/7 = 0. Calculate c.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/1710*(-8151)\/286.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74931293 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuuuututuwtuuuwt. Give prob of picking 2 t and 1 u.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 54*q + 58. Give k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1. Let u(s) = -s + 5. Let r(c) = 3*g(c) + u(c). Let x be (-1 - 1*-9) + 0. Let d be r(x). Solve -5*a = -5*k + 15, 4*k + d*a - 12 = -4*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.116441508 rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-15))\/((-133)\/57)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*g**3*p**3 + 154*g**3*p*r**3 - 19*g**3*r + 609*g**2*p**2*r**3 + g**2*p*r**2 - 394*p**3*r**2 wrt g?\nAnswer: 546*p**3 + 924*p*r**3 - 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448, 713, 980, 1249, 1520, 1793?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 461665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 2. Let l(f) = -10 + 15*f + 22*f - 43*f. Calculate 3*l(i) - 16*o(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 1 - (-2 - 11). Let r = 7 - q. Let i = 14 + r. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-6) + (-3)\/2. Let o = -7 - -7. Let d be 2\/7*-1 - o. Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 21 = -26. Let z = 8 - 9.3. Let q = -1 - z. Sort r, q, 3.\nAnswer: q, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*z - 1)*(109 - 1359 - 363 + 18).\nAnswer: -6380*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -229.2688.\nAnswer: -917.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - -41. Suppose 8*w = -4*w + h. Solve 0*p - 15 = w*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 10. Let g = -1589\/407 + 57\/37. What is the common denominator of (77 + 0)\/(4 - u) and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2596197*l**3 + 3591117 wrt l?\nAnswer: -7788591*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161 + -55. Let r = 92 + l. Calculate the greatest common factor of r and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:47 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460448 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -0.3 (b) 1\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11437 - -43772. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1633*i**2. Let g(j) = 5*j + 8. Calculate g(o(a)).\nAnswer: -8165*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/2 + 10857*a**3 + 129309669*a**2\/2 + 62076091770*a + 16345532056050 = 0.\nAnswer: -10302, -555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -37 + 51 + -50.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1193958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52098372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 - 0.0488.\nAnswer: 16.9512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4.8. Let o = z - -0.85. Suppose -7*u + 5*u = 0. Is o at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + 6*m**2 + 232*m**3.\nAnswer: 232*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.55 - -0.15. Which is the nearest to 1? (a) 0.02 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/6173783 or -1?\nAnswer: -2\/6173783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfd when three letters picked without replacement from yqfddddwdwdfwwbdfff.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 4*u**2 + u - 4. Let f be s(-3). Suppose 0 = -3*g + f*g - 1. Suppose 11 = -3*c - 4. Put c, g, 3 in descending order.\nAnswer: 3, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**3 - 29*i**2 + 23*i + 145. Calculate p(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 4*h + 2*h + (2 - 4 + 3)*(2 - 2 + 2*h) + (-1 + 3 - 4)*((2*h + h + 2*h)*(4 - 1 - 4) + (2*h + 2 - 2)*(2 - 4 - 10)*(-5 + 2 + 1)).\nAnswer: -81*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 97429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11*p + 42. Let n be y(-11). Let c = n + 81. Solve -5*q = -c*m + 3*m - 1, -2*q = 5*m + 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 180 and -6?\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000755 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.23? (a) -0.5 (b) 4 (c) -5 (d) -0.07 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*z + 50, -36 = -3*u + 2*z + 20. Calculate the greatest common divisor of u and 2780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03429*5\nAnswer: -0.17145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 1\/(1\/(-36))*(-8)\/(-24)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4 - 3 - 11 - 3 + 20. Let o be 2\/3 - 92\/3. Let j(a) = a**2 - 6. Give o*f(z) + 5*j(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1853, 1857, 1861, 1865, 1869, 1873?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567*l + 3098 - 6074 - 14034 = 0. Solve 0 = 5*y - 3*t, l*y - 28*y + 3*t = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 21 = 3. Let p(b) = b + 1. Let x(h) = 3*h**2 + 45*h + 5. Let y(s) = -4*p(s) - x(s). Calculate the least common multiple of v and y(-16).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n + 5. Let q(k) = -2*k - 5. Let l be q(-3). Let d be 3 + (-7 - (0 - l)). Is 7 a factor of g(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 7*i**2 - 10*i + 93. What is l(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 33. Does 17 divide k\/(-9)*0 + 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10894, 12478, 14038, 15562, 17038, 18454, 19798?\nAnswer: 21058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 86*d + 152*d - 29*d)*(3 - d - 3) in the form o*d**2 + g*d + w and give o.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1475433474 and 3.\nAnswer: -1475433471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 309.5 and -0.5?\nAnswer: -154.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. Let m be 8\/o - 4\/(-4). What is the units digit of (-12)\/6*m\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6144501557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0.1, -441, -0.5 in descending order.\nAnswer: 18, 0.1, -0.5, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 4. Suppose w*o = 2*t + 24, -5*o - 3*t = -2*t - 18. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*(-110)\/11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 7:29 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1015 divide 11233005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14073108 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1635631, -3271270, -4906909, -6542548, -8178187, -9813826?\nAnswer: -11449465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 j when three letters picked without replacement from jnjnjajanntfjjf?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1580*b**5 + 2*b**3*u**2 - 350*b**2*u**2 - 2*u wrt b?\nAnswer: -94800*b**2 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2152, -3960, -5758, -7540, -9300, -11032, -12730?\n\"Answer: n**3 - n**2 - 1812*n - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 322, 485, 646, 805, 962, 1117?\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -45*d**3 - d**2 + 30*d + 4. Let y(o) = 91*o**3 + 2*o**2 - 65*o - 8. What is 13*p(h) + 6*y(h)?\nAnswer: -39*h**3 - h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 151*q**3 - 304*q**3 + 154*q**3 + 8*q - 9*q**2.\nAnswer: q*(q - 8)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.603 + 0.633. Sort -0.5, 0.8, t, 5 in decreasing order.\nAnswer: 5, 0.8, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48315846 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/2)\/(1\/5). Let a(p) be the third derivative of 0*p + 0 + 1\/30*p**k + 0*p**3 - p**2 + 1\/12*p**4. Find the second derivative of a(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 820249 and 437?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 6993 + 6982 = -4*a, 0 = a + 2*v - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 59171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1004*b**4*n**2 - 161*n**2 - 1 wrt b.\nAnswer: 4016*b**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13413 is divided by 958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895049 - 2*w**3 - 895049.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-8)*j*j)\/j*(j**(1\/7)*j)\/j)**(-8)\/(j**7*j\/j**(-6)*(j*j**(5\/2))\/(j**3*j*j)) assuming j is positive.\nAnswer: j**(481\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1089940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1219020 and 6996?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**4\/8 - 4*b**3\/3 - 23*b**2 - 25. Let m(s) be the second derivative of n(s). Determine m(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v = -j + 115, 2*j - 3*v - 228 = 0. List the prime factors of j.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1. Let t(z) = -2*z - 5. Let p be ((-24)\/18)\/(2\/(-9)). Calculate p*y(k) + t(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2972*o - 1253 = 2793*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8485*b**2*h**4 - 59*b**2*k + 2*b*h**3*k + 2*b*k - b + 2*h*k + 6*h wrt h?\nAnswer: -101820*b**2*h**2 + 12*b*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**6\/9 - 3*r**4\/2 - 8*r**3\/9 + 4*r**2 - 315. Let o(h) = 0. What is h?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-1 + 1 + ((-1 + sqrt(5))*-4)**2.\nAnswer: -33*sqrt(5) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, n: 4, b: 3, v: 3, m: 1, t: 3}. Give prob of sequence mvnc.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2199, 2189, 2175, 2157, 2135, 2109, 2079?\nAnswer: 2045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h + 1\/2*h**2 + 0 + 7\/12*h**4 - 1\/6*h**3. Is o(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 + -95. What is the nearest to -0.1 in q, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k + 20 = 5*k. Solve -4*j + 20 = -4*r, k*j = 3 + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from qbqbhsqsqs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.014 - -0.024. Let g = 1.01 - j. What is the nearest to g in -5\/4, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/7)*u\/(u*u**(3\/5)))\/(u**(-2\/15)*u*u**(-2))*(u**1)**(2\/3)\/(u**(2\/3))**44 assuming u is positive.\nAnswer: u**(-3014\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -998*-38459.\nAnswer: 38382082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70.1 + -352.1. Let v = -272.42 - f. What is v rounded to 1 dp?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q + 2*q - 9*q + 0*q + 0*q + q - 12 + 12 + 18*q + (0*q - q - q)*(2 - 2 - 2) + 0 + 0 + 2*q - 3*q - 2*q + 4*q.\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 117*s - 303\/4*s**2 + 5\/4*s**3 + 59.\nAnswer: (s - 59)*(s - 2)*(5*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 1735.05?\nAnswer: -1741.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y - 90 = 0. Is (-4)\/(-18) - (-2174)\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13311 + -203?\nAnswer: 13102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.054 or -29430?\nAnswer: -29430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16692470 + 16692470 + m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 78*a + 15 = 659. Sort 3, 55, 4, 2, a.\nAnswer: 2, 3, 4, a, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/(3\/(-8)). Let t = 590 + -4128\/7. What is the nearest to t in 1, g, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 394 - 251. Let k(r) = -r**3 - r**2 + r + 36. What is the remainder when y is divided by k(0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1575600 and 163\/89809200?\nAnswer: 89809200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 19*n**2 + 40*n - 936. Let r(x) = 99*x**2 + 202*x - 4681. Let y(i) = -11*f(i) + 2*r(i). What is the first derivative of y(h) wrt h?\nAnswer: -22*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122973 + -1105193\/9. Let x = 174 - w. Which is the nearest to 0.1? (a) 2\/3 (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -169 - -177 - 92\/12. Let f = 6.08 + -6. Let k = -3.92 - f. Sort k, 2, j.\nAnswer: k, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/6)\/(6\/4). What is the common denominator of (752\/(-24))\/(-2*m - 20) and -101\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25824, 25823, 25822, 25821, 25820, 25819?\nAnswer: 25818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*-4 - sqrt(272))*-5)**2.\nAnswer: 170000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 105*u**2 + 216*u - 1. Let l be v(2). Solve 0 = 5*y - 3*s + 9, -6*y + 5*y + l*s - 9 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 - -135. Suppose 0 = -w - 5*t + 1, 2*w + k = 5*t. What is the smallest common multiple of (-8)\/(-1) + (w - -16) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3437 or 0?\nAnswer: 1\/3437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2156)\/(-24))\/7 - 25\/30?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/4 - 83*d**2\/4 - 420*d + 441.\nAnswer: -(d - 1)*(d + 42)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 1309908?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((5040\/1029)\/12)\/(2\/7)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5202, -33 in ascending order.\nAnswer: -5202, -33, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 2*v**2 + 2*v + 0*v + 3*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65261.6 or -1?\nAnswer: 65261.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c - 186ec?\nAnswer: -18769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/7 - 7212*u\/7 + 21645\/7.\nAnswer: -(u - 3)*(u + 7215)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -2)\/((-2)\/18). Let j(n) = -n**2 - 11*n - 18. Let r be j(f). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 8 + 59)*(0*u**2 + 3*u**2 - 2*u**2)*(0 + 0 - u)*(-4 - 1 + 3).\nAnswer: 198*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2280 and 84740.\nAnswer: 508440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + (sqrt(192) - (sqrt(192) + 0)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -324 and 50531.\nAnswer: 50207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 b when four letters picked without replacement from {l: 4, b: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 4*y**2 + 2*y + 3. Let k be s(4). Suppose -4 = -k*r + 10*r. What is the second derivative of -f - 2*f**4 + 4*f**r + 3*f**4 - f**4 wrt f?\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 5 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*p - 5. Which is the third smallest value? (a) -0.4 (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(-7*u**2 - 4*u**3 + 7*u**2).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -2*r**3 + 4*r**2 - 17*r. Let n be k(-3). Let s = 65 - n. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**4 + 189*y**4 + 163*y**4 + (2*y**4 - 11*y**4 + 0*y**4)*(0 - 4 + 2) to the form i*y**4 + g*y**3 + q*y + x*y**2 + w and give i.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 21. Let n be k(-15). Let r = n - -11. Let a = -9739 - -9744. Calculate the least common multiple of r and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-9*(-5)\/15. Factor -r**x + 9 - 9 + r**2 + 0*r**2.\nAnswer: -r**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*(sqrt(72) - (2 + sqrt(72) + sqrt(72))) + ((sqrt(2) - (3*sqrt(2))**2 - sqrt(2))*6 - (sqrt(400)\/sqrt(8) + sqrt(2))).\nAnswer: -84 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.1. Let i = -0.009485 + -0.040515. Which is the second smallest value? (a) i (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -12 (c) -0.3 (d) 14.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -44*s + 10*s - 13*s + 1. What is the tens digit of p(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -12. Suppose -4*z + g*w + 142 = 0, -2*w - w = -2*z + 72. Solve -i - 4*l + 10 + 3 = 0, -4*l + z = 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2646352579 and 136.\nAnswer: 136.2646352579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -3*h**8\/56 - 3*h**5\/2 - 5*h**4\/2 - h**3\/3 + 120*h. Find the third derivative of b(s) wrt s.\nAnswer: -360*s**3 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 786 - 773. Find the second derivative of 3 + 133*o**4 + 7 - g + 2 + 0*o**2 + o**2 - 118*o wrt o.\nAnswer: 1596*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 58874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 27 = -1835. What are the prime factors of a?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t + 60*t - 884 = 91*t. Solve t*n = 49*n - 57 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 12 = 10. Suppose -y + 5*c - 73 = -j*y, 3*c + 129 = 3*y. Is y a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.42+76\nAnswer: 76.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42513 divided by -1.\nAnswer: -42513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*k = 2*k + 8, 0 = 5*k - 25. List the prime factors of 1*d - (7 + -7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*c**2*i + 111*c**2 + 2*i wrt i.\nAnswer: -35*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210100 bigger than 2311104\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 235102651 to the power of 1\/4, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.068 - -81.972. What is g rounded to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 854*p + 12805. What is w(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 12*h**3 - 6 + 19.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -893\/268?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) 4.26 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15*x - 63. Let r(s) = -2*s - 1. What is -i(o) + 6*r(o)?\nAnswer: 3*o + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -3. Let m be (1 + -1)*(2 - t\/8). Solve m = 2*w + 6*p - p + 21, -5*p - 35 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 39968*i**2 + 266099104*i + 590246235904.\nAnswer: 2*(i + 6508)**2*(i + 6968)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10845, 21691, 32537, 43383, 54229, 65075?\n\"Answer: 10846*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 - 3. Suppose 5*x = 2*w - 33, -3*w + 2*x = -6*w + 2. Let h(s) = -5 + 50*s**2 + 1 - 45*s**2. What is w*b(o) - 3*h(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -503, -792, -1123, -1508, -1959?\nAnswer: -2488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9*a**5 + 12*a**2 - 4*a + 4. Let w(l) = -10*l**5 - 12*l**2 + 5*l - 5. Let b(f) = 5*k(f) + 4*w(f). What is the third derivative of b(d) wrt d?\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + -86. Let w = -103 - j. Suppose 4*g + 3*x - 22 = -w*x, 4*x + 12 = 5*g. Solve -2*b = -4, -g*b = 3*z - 2*b - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 7*y - 6*y. Let x = 27 + y. Let t = 10 + -8. Solve -4 = 4*r, 3*l = -x*r - 7 + t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2483279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 40*a**2 - 204*a. Let c be y(6). Let 2\/3*q**3 - 8\/3*q + c*q**2 + 0 = 0. Calculate q.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -11*n + 110. Suppose 0*y = -3*y - 6. What is the remainder when 662\/10 - y\/(-10) is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -5*s**3\/6 - 4*s**2 + 2*s. Let x(f) = -f - 1. Let z(d) = k(d) - 6*x(d). List the prime factors of z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1794133 by -136.\nAnswer: -1794133\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1037852 (base 11) to base 5.\nAnswer: -431411301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2. Let u(m) = -338*m. Give n(u(j)).\nAnswer: 342732*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234096137?\nAnswer: 11, 17, 1251851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3149446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*c + 11. Suppose 0 = 2*x - 3*k + 4 - 2, -c*x + 2*k + 6 = 0. Let p be 1*(6 - 4)*x. Solve -5*w - p*t - 25 = 0, -19 = 4*w - 0*w + 3*t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p\/p**(-2\/11)*p*p)*p**6*(p**(-7)\/p)**(2\/13))**16 assuming p is positive.\nAnswer: p**(1344\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8979 divided by -3.\nAnswer: -2993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6254957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104471119, 208942239, 313413359, 417884479, 522355599?\nAnswer: 626826719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 406934 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 252\/21*5\/(1305\/29)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/78)\/((-15)\/(-39)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4177 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 25. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-14)*(17\/(-2) + 5). Let n(c) = -5*c**2 + 10*c**x - 7*c**2 + 26*c - 21. Let s be n(12). Solve -s*u - 17 + 2 = -3*d, 3*d + 2*u = -10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5355 = 2*j, -t + 1503 + 278 = 2*j. List the prime factors of t.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035178 to four dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4019 divided by -9\nAnswer: 4019\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -813.51 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4706 is divided by 587?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1748 - 1737. What is the remainder when 17 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/7 of a week in minutes?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6579\/45 + 301074\/(-2166).\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3\/8, 0.4, 11\/5, 8, -0.51, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72853 is divided by 4552?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**9)\/q*q)\/q**(1\/6))**(-30))**(-5\/3) assuming q is positive.\nAnswer: q**(1475\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -128, -0.03, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -887 = -3*p - 878. Suppose -1 = 3*g + 2. Let c = 2 + -5. Put c, p, -5, g in ascending order.\nAnswer: -5, c, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -0.062928634531.\nAnswer: -4.937071365469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 12*l + 6*l - 30 = 3*q - 2*l, l = 0 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 + 124 = -14*u + b + b - 623, -2*u + 12*b = 120 for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 6 = -8*b. Suppose 1 = -b*g + 21. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 g when four letters picked without replacement from rrrggggggg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 3 - -7) + (37 - 23) + -28\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1134617 + -454807. Let k = f - -4117426. Suppose 3*u - 1654097 = 3*o + 241900, 4*u + 2*o - k = 0. What is u rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*h**2 - 16*h + 16*h)*(-h + 2*h**2 + h) + 54 - 15*h**4 - 54 to the form j*h + r*h**2 + i*h**4 + p*h**3 + o and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48, -67, -110, -189, -316, -503, -762?\n\"Answer: -2*k**3 - 5*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 593, 2817, 7537, 15581, 27777, 44953, 67937, 97557?\nAnswer: 134641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 626824, 1253738, 1880652, 2507566?\n\"Answer: 626914*v - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4817453\/90 + -53526. What is the common denominator of z and 52\/63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -2) + (-30 - -30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/68)\/((-1)\/(-4) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 11*p + 4*p - p - 8*p.\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.5 (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 18*s**3 + 2*s**2 + 6*s + 5. Calculate h(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**7\/8820 - s**6\/2520 + s**5\/210 + s**4\/4 - 7*s**2. Let i(a) be the second derivative of b(a). Solve i(h) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b + 0*b - b + 9*b. Suppose 4*i + 5*z = -6, i - 3*z - 10 = 5*i. Let v(l) = 3*l. Determine i*o(d) + 9*v(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1311 and 17.28449.\nAnswer: 17.41559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 291 and 16393.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -21*k**2 - 15. Let t(u) = -3*u**2 - 2. Let w be (-1 + -3)\/(0 - -2). Let q(r) = w*i(r) + 15*t(r). Let g(p) = -19*p. Determine q(g(f)).\nAnswer: -1083*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 729155 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26432 (base 10) in base 11?\nAnswer: -1894a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -846\/68495 or 0?\nAnswer: -846\/68495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(sqrt(637)*-2 + -5 + -1 - (-3 + sqrt(637) + -1 + sqrt(637) + (4*(sqrt(637) + 1) - sqrt(637))))**2 + -2.\nAnswer: -62497 - 1176*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:21 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 5*(sqrt(19) + sqrt(19) + -1) + sqrt(76)*4)**2 + (sqrt(228)\/(sqrt(12)*2 + sqrt(12))*6)**2 + -1.\nAnswer: -190*sqrt(19) + 6959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -14. Let y = 1 - a. Solve -3*k = v + y, -k = -v - 3 - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 130862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-14)\/(-18) - (-200)\/72. Suppose -c = 3*n, -5*p + 3*n - 23 = n. Let l be (0\/5)\/p - (1 - 10400001). Round l to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 32 = k, -2*k = -2*b - 102 + 64 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17\/5 (b) 1 (c) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**3 - 1. Let z be q(-1). Sort z, -2, 7, -1.\nAnswer: -2, -1, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -209. Calculate the remainder when (15\/10)\/((-2)\/(-4)) - n is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 14) to base 3.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46638632 divided by 376118\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50858236 divided by 3068.\nAnswer: -16577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2) + -5 + 12. What is the third derivative of -u**2 + 90*u**3 - 90*u**3 - u**h wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 4*a - 2*a**2 - 4*a**4 - a + 8*a - 2 to the form y + k*a**2 + t*a**3 + p*a + m*a**4 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**3\/6 + 2*i. Let z(a) = a - 6. Let g(x) = -7 + 2 + 4. Let s(o) = -6*g(o) + z(o). Determine s(m(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 108699213 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + c + 275 = -0*c, 2*c - 220 = 4*v. Let f = 127 + v. Calculate the highest common divisor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11937 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o + i - 19, 7 = -2*o + 5*i. What is the least common multiple of -1 - (-26)\/4 - 2\/(-4) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 5. Let g be 16 + (17 - 35) + -2*2. Let z(k) = -k - 6. What is g*d(j) + 5*z(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 - 5 = 0. Suppose 3*y - 5*g - 77 = 0, 2*y = -i*y - 5*g + 56. Solve 4*k - y = -3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 101?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0648*469020.\nAnswer: -30392.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-29)\/(-2)*(-4)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 12 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/((-4)\/(-138)). Let h be 19 + 8*((-6)\/(-4) - 2). Suppose -103*n = -98*n - h. Solve n*f - q = 5*i, 2*f + 2*i + 5 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 q when three letters picked without replacement from {n: 6, q: 4, r: 4}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1044 + 21?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-81)\/36)\/((-2)\/(-8)). Let t = v - -5. Is t >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -10101101110100110011001?\nAnswer: -10101101110100110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 127. Let f be m - (-1 + 3) - -1. Suppose -3*g = -5*u + 63, 2*g - 19 = -2*u - 3*g. What is the highest common factor of f and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**3 - 2*u**2 + 2*u - 5. Let v(r) = r**3 - r**2 + r - 1. Let y = -27 + 28. Let a(g) = y*o(g) + 2*v(g). Calculate a(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iisiziiiiizizis. What is prob of sequence iszi?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1002, 1167, 1338, 1521, 1722?\nAnswer: 1947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 352\/6 - 1\/(-3). Let g be ((-24)\/(-16))\/(3\/178). Let d = g - n. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9235, -18589, -28031, -37561, -47179?\n\"Answer: -44*u**2 - 9222*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1118*f**3 - 994*f**3 + 3067*f**3.\nAnswer: 955*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*y, 0 = b + y - 5*y + 12. Suppose -122 = b*j + 82. Let x = 48 + j. Sort 7, x, 0 in descending order.\nAnswer: 7, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*j - 37, -j + 2*b - 10 = -6*j. Suppose -232 = -j*p + 5*g - 70, -5*g = 2*p - 96. What is the remainder when 127 is divided by p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(12\/5))**(1\/9)\/(i\/i**(2\/19))**(3\/14))**(-2\/31) assuming i is positive.\nAnswer: i**(-299\/61845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409891 is divided by 37217?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -4\/147*m**7 + 5*m - 27\/7*m**2 + 0 - 8\/7*m**5 + 36\/7*m**3 + 3\/7*m**4 + 11\/35*m**6. Find w, given that q(w) = 0.\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = -27*g + 13*g + 13 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 136*j + 3166. Let t be x(-20). Solve 40*m = -t*m + 516 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/3 - 216*f**3 - 652*f**2 - 1960*f\/3 - 218.\nAnswer: 2*(f - 327)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -68.4008*-1\nAnswer: 68.4008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -725 smaller than 0.0727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -326, -42, -5, 5, -4 in increasing order.\nAnswer: -326, -42, -5, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 1719*b**3 - 129521*b**2 - 2322009*b + 2453248.\nAnswer: (b - 1792)*(b - 1)*(b + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4466245 + -18509063. Let a = -20309062 - -5533754. Let f = a - l. Round f to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 10 - (-2 + 7) - 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l - 5 + 5)*(-5*l - 2*l + 5*l) + 4*l**2 + 11*l**2 + 19*l**2 to the form o*l**2 + v + j*l and give o.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 12. Let v(k) = 3*k - 25. What is -3*v(a) - 7*x(a)?\nAnswer: -2*a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3 - 5. Put -5, 0, a in descending order.\nAnswer: a, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -560.593513193 + 81.593511538. Let k = n + 479. Round k to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 21 = -5*y - g, g + 9 = 2*y. Let p(a) = -a**3 + 2*a**2 + a + 2. Let q be p(0). What is the highest common factor of q and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + 1 + -2)*162\/45. Let k be 18\/(-30) - o\/(-5). Solve -4*a - 13 = -3*x, -3*a + 7*a = -k*x + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:14 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1884351 divided by 6\nAnswer: 628117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -181753, -363549, -545345, -727141, -908937?\n\"Answer: -181796*h + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/20 and -179\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -260, -57, 7, -5 in increasing order.\nAnswer: -260, -57, -5, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 857825 to the power of 1\/2, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 14. Let g = 0.303 - 72.803. Let z = g - -72. Which is the smallest value? (a) z (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 215*o + 435. Let v be u(-2). Sort v, -5, -30, 11 in ascending order.\nAnswer: -30, -5, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 13978434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Suppose 5*w = -2*a + 18, -4*a + 0*w = -4*w - 8. Let g = -2 + a. Let h(k) = -3*k**2 + k**2 + k**g. Determine l(h(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28176, 56348, 84508, 112650, 140768, 168856?\nAnswer: 196908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2118, -2135, -2152?\nAnswer: -2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 213028\/11 - 19366. Factor -22 - 4*s - n*s**2.\nAnswer: -2*(s + 11)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 420*t**2 - 5688*t - 1684. Give q(-406).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**5 - l**4 + l**2 + 3*l - 1. Let q(v) = 7*v**5 + 55*v**4 - 1492*v**2 + 12*v - 4. Let i(o) = -4*m(o) + q(o). Find the third derivative of i(g) wrt g.\nAnswer: 180*g**2 + 1416*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5118666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.027693021 and 652654.\nAnswer: 652653.972306979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(19) + sqrt(76) + -5 + (sqrt(171)*2 - sqrt(171))\/sqrt(9) + sqrt(19).\nAnswer: -7 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 657618 and 657618 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - w = 8, 4*h + 1177 - 1146 = -3*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 6. Let t = -8 - q. Let l = -3 + 5. What is the closest to 1 in t, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/1)\/(((-9768)\/(-703))\/88).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l - 6*l**3 - 13*l + 22*l**3.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123*j**3 - 71*j**2 + 2 wrt j.\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190*p**4 + 3*p**3 - 205*p**2 + 5.\nAnswer: -4560*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2*5 + sqrt(108)*2 - (sqrt(9) + (sqrt(9) + sqrt(144))*-2)\/(sqrt(576)\/sqrt(12)))**2.\nAnswer: 867\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/18 and -67\/130840524?\nAnswer: 130840524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25979392*x**5 + 9920557*x.\nAnswer: -519587840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (56\/1200*64 - 16\/6)\/(1\/10)\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2351 + -94. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-8)*0\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 111 in 3, 0.03, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16.0596 in 2\/11, -512, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 7*s - 4. Calculate the least common multiple of q(-3) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 3*w**2 - 12*w - 25. Let b(n) = -n**2 - 24*n - 132. Let o be b(-8). Calculate the remainder when 62 is divided by d(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547358333?\nAnswer: 17, 173, 186113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 206682, -62 in descending order.\nAnswer: 206682, -2, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7) + sqrt(63))**2 - -3*(sqrt(7) + 0).\nAnswer: 11*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**6\/120 - p**4\/6 - 7*p**3\/6 - 21*p**2. Let w(y) = y**3 - 2*y - 4. Give -3*d(u) + 5*w(u).\nAnswer: 2*u**3 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = f - 110 - 95, -5*w - 1645*f - 263 = -1644*f for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 0 + 7\/5*p**5 - 18*p - 19\/8*p**4 + 19\/12*p**3 - 1\/2*p**2 - 4\/15*p**6. Let h(j) = 0. What is j?\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -137152?\nAnswer: 137149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -610, -612, -614, -616, -618, -620?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8699129569 - 18831?\nAnswer: 8699110738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*((0*f + 0*f + f)*(3 - 2 + 2) + 0*f - 5*f - f) - 3*f - 2*f + 7*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010214 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 75681117 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 y = 34.6 - 33.562. Let h = 0.038 - y. Which is the nearest to h? (a) 3 (b) 0.06 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 429 + -257. Suppose 5*o - n = 3*o. What are the prime factors of o?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**2. Let i be (-2)\/8 + (-2)\/(-8). Let a(o) be the first derivative of 0*o + 4 - 8 + o**2 + i*o. Give a(p(x)).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4 + 34*s - 6 + 1. Is l(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 5:09 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**3\/3 + 5*u**2\/2 + 8*u - 3. Let i be n(-2). Factor 9*m**2 + 2*m + 9*m**i - 6*m - 12*m**2 - 2*m**3.\nAnswer: -2*m*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16 - (-3)\/(-3)) + 1. Let u = z - -39. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 9:01 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(112))**2*-4.\nAnswer: -1856 + 256*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398624524*s**2 - 79*s + 398624509*s**2 + 79*s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 4:49 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19490 is divided by 267.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2031 divided by 143584.\nAnswer: 2031\/143584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -h + 4*y - 16, -3*h - 5*y - 41 = 0. Let c = -3 - h. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357151168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*s + 13, -4*s + 6*a = a + 29. Let t be 6\/(-9) - 22\/s. Let l be (-2)\/(t + (-8)\/3). Sort -3, l, 5.\nAnswer: l, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 11*d**2 + 14*d. Suppose 7*j - 2*j - 50 = 0. What is the units digit of u(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 6\/7, -6, 0.8?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 2. Let s be (-2 - -1)*-1 - f. Let i be (8\/2)\/(-1 + 9\/3). Solve -s*r - i = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**7\/42 - 3*w**6\/8 - 7*w**5\/3 - 15*w**4\/2 - 40*w**3\/3 - 27*w**2. Factor l(x).\nAnswer: -5*(x + 1)*(x + 2)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*p + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 68*m**3 + 896*m**2 + 972*m + 144 = 0.\nAnswer: -12, -1, -3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1067 by 37934.\nAnswer: -1067\/37934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + c**5 + 2*c**4 - 2*c**4 + c**5 + (-2*c + 0 + 0)*(2*c**4 - 3*c**4 + 3*c**4) + (0*c + 3*c - 6*c + 17*c**2)*(0*c**3 + 0*c**3 - c**3).\nAnswer: -19*c**5 + 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4654 times -0.1\nAnswer: 465.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1335 - 1647*i - 1335)*(-2*i**2 - 2*i**2 + i**2) to o*i**3 + z + u*i + f*i**2 and give o.\nAnswer: 4941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**3 - 2*g**2 + 4*g - 4. Calculate the remainder when 129 is divided by b(2).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.77354? (a) 5 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/21554 and -109\/21554.\nAnswer: 21554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2 + 4. Suppose q + 4*q = -h*s - 7, 0 = 4*s + 2*q - 14. Solve -3*r + 10 = 5*d, -2*d + 3*r = d - s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4 = 0, -5*d = 243*r - 241*r + 33 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 0. Suppose 0 = -8*i + 17*i - 18. Which is the nearest to -2? (a) i (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8314234.\nAnswer: 2, 601, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*b**5 - 131*b**3 - 618*b**2 wrt b?\nAnswer: 840*b**2 - 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-16)\/8*(-3280)\/(-46080) and 11\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 18. Give l(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*r + 20. Let b(n) = n + 3. Let q be b(r). Let k be 740\/518 - (-33)\/21. Sort 1, k, q in decreasing order.\nAnswer: k, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b - 7*b + b. Let w(y) be the first derivative of 29*y**2\/2 - 15. Give q(w(l)).\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 128160 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(40*k - 48 - 10*k + 49) as h + s*k and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 1:19 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/5 - 21*f**3\/5 + 87*f**2\/5 - 23*f + 48\/5.\nAnswer: (f - 16)*(f - 3)*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 - 5*a - 8. Suppose -9 + 12 = -2*g - 5*y, -y = -5*g - 21. Let p(q) = -2*q**2 - 4*q - 7. Calculate g*t(x) + 5*p(x).\nAnswer: 2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 11:50 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.3 (b) -3\/25 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4 + 1*sqrt(396)*-5)**2 + -3 + (sqrt(396) + sqrt(396)*-1)**2 + -4) + 2.\nAnswer: -39634 - 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 3*l + 0*l + 1477*l**3 - 1475*l**3 - 2. Give i(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4 - 38. Which is smaller: 20 or j?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j**(5\/4)*j*j*j*j*(j*(j\/(j**5*j))\/j)\/j*j*j**(-7)*j)**(5\/7) assuming j is positive.\nAnswer: j**(45\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4629591ml?\nAnswer: 0.0004629591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0896 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90775473?\nAnswer: 3, 30258491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kptp. What is prob of sequence ptk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/15 - 68\/(-20). Which is the nearest to 0? (a) -4 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1544 divided by 1425?\nAnswer: -1544\/1425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**3 + m**2 - 2*m + 2. Let o(d) = 12*d**3 - 4*d**2 + 7*d - 7. Let r(q) = 2*o(q) + 7*t(q). Find the third derivative of r(h) wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + (sqrt(153) - 3*(-1*sqrt(153) - sqrt(153))))\/sqrt(9).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -134 - 13?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*q - 1443 + 1451, -2*l - 8 = 2*q + 14 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*f*h**3*s - 2*f*s + 2*f - 2*h**3*s + 5262*h**3 - s wrt s.\nAnswer: -36*f*h**3 - 2*f - 2*h**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*((-4*-2*sqrt(102) - sqrt(102) - sqrt(102)) + sqrt(102)))\/((sqrt(726) + 2*sqrt(726))*-2*6).\nAnswer: 175*sqrt(17)\/396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 q when four letters picked without replacement from {q: 5, x: 5, n: 4}.\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m*w**2*x**2 + 2*m*w*x**2 + 2*m*w*x + 620*w**2*x**2 + w**2*x + 19*w*x**2 - 4*x**2 wrt w.\nAnswer: -10*m*x**2 + 1240*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - -5*sqrt(121)*1 - 5*sqrt(121)*-4)\/((2*sqrt(66)*-4)\/((sqrt(6) - (sqrt(6) - 1*sqrt(6) - sqrt(6)))*-5 - sqrt(6))).\nAnswer: 143*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29219965 divided by -6?\nAnswer: 29219965\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -7 + 11 - 12) + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-12784)\/238 + 62)\/((-24)\/(-21))\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 370?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1 (c) 0 (d) -2.9 (e) -5 (f) -0.65678 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 826189 + -826187. Suppose 0 = 5*y - 2*j, j - 20 = -5*y - j. Let l be y + 10\/(-6) - 0. Which is the nearest to 0.3? (a) 1 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -204129 at least -204140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 - k**2 - 4. Let j be i(-2). Let q(y) = -4 - y + 12 - j. Let a(f) be the first derivative of 3*f**2\/2 + 1. Give a(q(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 1. Let o be m(1). Suppose 4*a + t = -15, 33 + 7 = -5*a + 3*t. Let z(d) = d**2 - 2*d - 11. Let n be z(4). Put n, a, o in ascending order.\nAnswer: a, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-4 + 0 + (-10 - -13)). Let q be 2\/6*((-21)\/7)\/n. Let c = 1 - 1. What is the nearest to 0.08 in q, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -2.2. Let i = 2 + -3. Let y = 0.1 + 0. Which is the nearest to i? (a) p (b) y (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**4\/4 - 7*s**3\/3 - 9*s**2\/2 - 7*s + 5. Let c be r(-7). Calculate the highest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**3\/2 - q. Let v(a) = -a**2 - 15*a. Let s(l) = 49*l**2 + 630*l. Let x(o) = s(o) + 42*v(o). Calculate x(f(p)).\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*u - 315 = -95*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20)\/16*2*-4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 21. Let y be (-575)\/(-45) + 2\/9. Let z be c(y). Sort 8, -1, z, -4.\nAnswer: -4, -1, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -2.21. Let i = 1.22 + x. Is i at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**2 - 9*a + 15. Let y(o) = -3*o**2 - 4*o + 7. Let x(i) = -6*t(i) + 13*y(i). Give x(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/5)\/(1\/400555) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.2237 centuries in months?\nAnswer: 33868.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o**3 - 5*o. Let p(h) = -11*h**3 + 3*h - 3. Let n(x) = -12*x**3 + 5*x - 2. Let g(l) = -3*n(l) + 2*p(l). Determine 4*g(u) - 7*m(u).\nAnswer: 7*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k + 4 + 71 = 0. Solve -7*n + 3*n - k*y = 10, 5*n = 3*y - 26 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m - 8. What is p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -16 (b) 2 (c) -0.5 (d) 0.05 (e) -2135\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-2) + (0 - -4). Let z(d) = d**2 - 8*d + 18. Let r be z(m). Let w(s) = -15*s**2 - r*s**2 + 36*s**2. Let o(i) = -i. Calculate w(o(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5223.764 weeks?\nAnswer: 36566.348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i - 2 = 5*b, 4*b + i = 2. Suppose 5*f = -5*u + 45, b*f + u = 2*f - 27. Solve f = 6*q - 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -746*o**4 + 4524*o**3 - 288*o**2 = 0. What is o?\nAnswer: 0, 24\/373, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/402 and -57\/4?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 632 + 631 = 3*h, 2*h = 4*s - 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*x - 276 = 32*x + 270 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 2*w + 16. What is the lowest common multiple of 7 and s(0)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -403, 1\/2, 2, -3.5, -248 in decreasing order.\nAnswer: 2, 1\/2, -3.5, -248, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 - -0.073?\nAnswer: 0.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-364))\/((-10)\/495). Let f = r + -2\/91. Let x(q) = -q**2 - 4*q + 4. Let i be x(-5). Which is the nearest to i? (a) 1 (b) f (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0 + 0)*(204*f - 204*f + 9550*f**2 + 11237*f**2).\nAnswer: 20787*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222220000021 + -2?\nAnswer: -2222220000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 14 + -14 - (-11 + (1 - (34 - 13))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 309*n**2 - 3*n**4 + 310*n**2 + 5 - 3*n**3 to l + d*n + s*n**4 + g*n**3 + u*n**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 + 0.07. Let a be 1\/2 + 2\/(-8). Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2229447, 2229446, 2229445, 2229444, 2229443, 2229442?\nAnswer: 2229441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/11 or -5929?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.41 - -0.01. Let g = 1129 + -1126. Sort -3, p, 0.04, g.\nAnswer: -3, p, 0.04, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 1, -1, 93, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h. Let g be y(1). Let a(q) = -3 - 2*q - 10*q**2 + 0*q**3 - 4*q**g + 3*q**3. Is 7 a factor of a(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 9:04 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -8.966?\nAnswer: 8.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1614, 3239, 4870, 6507, 8150, 9799?\n\"Answer: 3*j**2 + 1616*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/4 + (-2 + 0)*1. Suppose 0 = -4*u - 5*w - 22, -3*u - t*u - w - 17 = 0. Let n be (u\/1)\/((-165)\/22). Which is the nearest to n? (a) 3 (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 10*b**2 - 7*b - 3. Let p be a(9). Solve p = 5*j, 0*t - 5*j = -t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 305*s**2\/2 + 688. Let u(i) = -2*i. Give u(j(w)).\nAnswer: -610*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 401443.5 litres?\nAnswer: 401443500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 1\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 5\/(5\/(-2)). Let n(m) = k*m + m + 6*m. Let i(d) = -53 + 3*d - 233 + 286. Determine 5*i(z) - 2*n(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 13332?\nAnswer: 26664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10\/8*(132\/55)\/6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 191739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 396954\nAnswer: -396954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23333, 23334, 23335?\nAnswer: 23336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 2\/447, 3, 0.4, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(770\/(-5019)) + (-2)\/11. Suppose -4*q = -9*q + 65. Calculate the greatest common divisor of s and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4749*r - 51272. Give l(11).\nAnswer: 967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151\/161 - 15\/23. Let h = -4.7 + 5. Which is the nearest to s? (a) h (b) -4 (c) 31\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*y**4 + 22*y**2 + 2*y?\nAnswer: 2976*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74171.\nAnswer: 17, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0162443324 rounded to 6 dps?\nAnswer: -0.016244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/14)\/(-3))\/(8\/(80\/(-50)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-7 + 2) - 14 - 8.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1900)\/(-250) - 6\/10. Differentiate 5*w + 4*w + 52*w**3 + 0*w - 8*w + z - 31 wrt w.\nAnswer: 156*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*v**5 - 3*v**3 - v**2 - 397 wrt v?\nAnswer: -4800*v**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/162014 and -28\/17849.\nAnswer: 2106182","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1369978 + 130?\nAnswer: 1369aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 3*i - 22. Let c = 6 - 3. Suppose 2*f = 5*q - 54, c*q - 5*f - 34 = -13. Calculate the smallest common multiple of q and t(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-32)*-2*8\/(-21)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 320\/(-40)*(20\/8)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, i: 2, f: 1, y: 2, q: 3}. Give prob of picking 1 f, 1 y, and 1 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150 - -29 - -33) + 68?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -26*f**2 + f + 2. Let s(u) = -130*u**2 + 6*u + 11. Let r(m) = -11*n(m) + 2*s(m). Suppose -5 = -2*t + 7*t. Is r(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmxxxmxxxx. What is prob of sequence xm?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2\/5, -1\/2, -1\/4, -3.\nAnswer: -3, -1\/2, -1\/3, -1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p**2 + 18*p + 30. Let x(a) = -3*a**2 - 6*a - 10. Let d(r) = 4*i(r) + 11*x(r). Let m be d(7). Solve m*n + 2*s + 5 = -2, 2*n - 7 = s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.044 - -73.044. Let q = 72 - f. Which is the third biggest value? (a) 10 (b) q (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0 - (-1812)\/1057)\/((-20)\/(-14) - 0).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Suppose -5*r - 30 - 105 = k. Let m be 18\/r - (-62)\/3. Solve 5 - m = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 34*d**2 + 3*d. Let b be 15\/(-10)*-2 - -88. Suppose b*v - 5 = 86*v. What is the remainder when y(v) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-474)\/(-4)*2. Suppose -397 = 4*j + 5*z, -7*z = 3*j - 8*z + 312. Let l = j - b. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:46 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4342400 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5516841.96 minutes in weeks?\nAnswer: 547.30575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3345 and 420?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5139 + 5492.3. Let z = 334 - g. Is 1 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/6 + -1\/3. Let h be ((-1)\/(-16))\/(3\/(-18)). Let u = 53\/184 + h. Which is the nearest to s? (a) -2 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195396 is divided by 195235?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*r - 981*r**3 + 1150*r**3 - 185*r**3.\nAnswer: -16*r**3 - 70*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -104, -232, -398, -602, -844?\n\"Answer: -19*k**2 - 33*k + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 9:34 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -38, -110, -242, -452?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(1\/4))**(-5\/4)\/((g\/(((g\/g**(2\/13))\/g)\/g*g)*g)\/g**(2\/3)) assuming g is positive.\nAnswer: g**(-3463\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h**2 - 5*h - 1. Let m(z) = -5*z**2 + 5*z + 2. Let j(r) = 5*r**2 - 14 + 2*r**2 - 23 - 7*r + 34. Let p(s) = 2*j(s) + 3*m(s). Give 5*p(u) + v(u).\nAnswer: u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21776 is divided by 1545.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 + 28*c**2 - 71*c + 67. Give a(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12903141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/9*(3 + 9\/(-2)). List the prime factors of v\/(-16) - (-1556)\/16.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11227*b**3 - 11315*b**3 - 11272*b**3 + 44917*b**3 - b - 11287*b**3.\nAnswer: -184*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 3*w + 70. Suppose 2*l - w*u = -1 - 13, 5*l = 4*u - 1. Solve 6 = h - l*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/1357 + 4075\/2714. Suppose -2*h - 3 + 30 = -3*w, 0 = -2*h + w + 37. Suppose -5*x = -5*c, h = -5*c - x - x. What is the biggest value in -0.3, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2253*q**3 - 571*q**2 - 2.\nAnswer: 13518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.71 + -0.8. Let j = 0.29 + v. Does j = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173156468 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 17740 = 16*l - 13*l, 4*w - 3*l - 71050 = 0. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 117 - 117 + 55*c**2 + (-c + 2*c**2 + c)*(3 - 5 + 1).\nAnswer: 53*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14539727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -84864*z**3 - 2 + 4*z**4 + 5*z + 84850*z**3 + 5 - 6*z**2 - 4*z as u + h*z**3 + r*z**2 + k*z + i*z**4 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*f - 6*f - 18, 7 = 5*y + f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(7 + 13\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**4\/8 + 2*w**2 - 2*w. Let j(k) be the first derivative of n(k). Let s(g) = -g**2. What is s(j(f))?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 351243087 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 12*p + 8. Let v be t(12). Let d be (8\/v)\/(2\/74). Let f = 53 - d. Solve -s + 7 = -4*n, 2*n - 4*s = -2*n - f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66113?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*(-2 - 0). Let p be -2*5\/(-2)*1. Sort -3, u, p in descending order.\nAnswer: p, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12336 - 526?\nAnswer: -13064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -516 - -520. Let a = 2.7 + -6.7. What is the nearest to a in -0.4, j, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixifaiafxaxxbxxifi. What is prob of picking 1 b, 1 a, 1 x, and 1 i?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8884 (base 10) to base 5.\nAnswer: -241014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhuhuh. Give prob of picking 2 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 11*j - 16*j - 559 = 0, 4*v - j + 2131 = 0. Are v and -537 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 3*v - 6 - v + 7*v**2 + 6 in the form o*v + b + z*v**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67060, 67058, 67056?\nAnswer: 67054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218.07 + 215.07. Suppose -4 - 1 = -5*p. Which is the fourth biggest value? (a) i (b) p (c) 0.05 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 5, 0.7, -2\/19, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2. Let q = 8 + -6. Suppose 11 = -4*c - b + 65, -q = b. Let w(k) = 339*k - 339*k + k**2. Calculate c*w(l) - 6*r(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-335)\/(-65) - (6\/(-13))\/(-3). Suppose -3*u + 12 = o, -o = -0*o - g*u - 12. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) + 76\/12. Calculate the lowest common multiple of v\/21 + (-304)\/(-14) and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - q = 5, 3*q + 0*q = 2*o - 10. Solve -7 + 3 = -4*l + 4*u, o*l + 5*u = -35 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -145*v + 1. Let t(h) = 1534*h. What is g(t(r))?\nAnswer: -222430*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912567279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 249.28 and -0.0544.\nAnswer: -13.560832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fefe when four letters picked without replacement from feeeeeefe?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7463 - 26*h + 7807 - 15270.\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1240*a + 8701. Give l(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -6. Suppose j - 4 = k*t, -3*j + 16 + 11 = 3*t. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by 5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - s - 1. Let z be p(-1). Let b be 38626\/(-16) - z\/(-12). Let g = b - -2422. What is the common denominator of g and -77\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 508689 to the nearest 100.\nAnswer: 508700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 475580 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 6*x**2 + x + 8. Let r(z) = -2*z**2 + 3*z - 4. Let f be r(2). Let h(n) = -n**2 - 1. Determine f*h(v) - s(v).\nAnswer: -v**3 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3501190 rounded to the nearest 10000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 9*q + 2194 = 2233, 4*q + 10 = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 205, 209, 215, 223, 233, 245?\n\"Answer: h**2 + h + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/5242221 and -33\/4077283.\nAnswer: 36695547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -415\/3304 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.96*0.32641.\nAnswer: -0.9661736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176524704.\nAnswer: 2, 23, 1598539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1802472969?\nAnswer: 3, 11, 137, 229, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212 (base 3) in base 4?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-4)\/16*4. Let u be (((-48)\/20)\/(-3))\/(t\/5). Solve -u*o - 2 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 950*m - 980*m + 1449600. What is m rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/4*((-15)\/(-315))\/((-180)\/432)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9280075 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 2, b: 4, v: 3, z: 2}. Give prob of sequence wzz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4*y + 1)*(2 + 2 - 3 + (4 + 0 + 0)*(-2 - 2 + 7))*(-79*y + 1327 - 1327) to the form l*y + p*y**2 + j and give p.\nAnswer: 4108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 296.2509962?\nAnswer: 296.5509962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -505*q**2 + 4*q - 5. Let k(j) = -511*j**2 + 3*j - 4. Determine 5*k(c) - 4*p(c).\nAnswer: -535*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -249 - -246. Let d be ((0 + -1)\/(o\/(-2)))\/(-4). Suppose d*u**4 + 1\/3*u**2 + u**3 - 1\/2 - 5\/6*u - 1\/6*u**5 = 0. What is u?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4275046 and 9192.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/7 and -8\/127?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4815 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, o: 5, i: 5, a: 2}. Give prob of sequence axii.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*i - 2344, -3*i = -7*i + l + 4674. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19089 and 174447?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225.200003616 + 225.2. Round a to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123.817203 - 129.41702. Let y = 5.6 + p. Round y to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**6\/2160 + 11*m**5\/120 + 67*m**4\/144 + 79*m**3 - 167. Let a(y) be the third derivative of d(y). Let a(h) = 0. What is h?\nAnswer: -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.896 rounded to 1 dp?\nAnswer: 32.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 - -57. Let h = z - -146. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:18 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100405, -400727, -901271, -1602043, -2503049, -3604295?\nAnswer: -4905787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (10 - (2 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.29 in -4, -2\/3, -2\/9, 1.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 3*t + t)*((-4 + 3*t + 4)*(-1 - 15 - 24) - 2*t - 5*t + 5*t + (3*t - 3*t + 3*t)*(-1 + 3 - 1))*(-3 + 1 + 0) to n*t**2 + z + m*t and give n.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nww when three letters picked without replacement from npwwulwww?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2 - 1980*n + 186944 = 0 for n.\nAnswer: 127, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 37*t**5\/30 - 54*t**2 + 72*t. Let l(v) be the first derivative of r(v). Let f(j) = 2*j. Give f(l(c)).\nAnswer: 148*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) 2 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 - -714401504.\nAnswer: 714401395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-4\/7)\/(((j\/(j*j**4\/j))\/j)\/(j\/((j**(-5)*j)\/j))))\/(((j**(2\/7)\/j)\/j*(j**(-8)*j)\/j)\/((j**(-2\/5)*j)\/(j**(-3\/4)\/j*j))) assuming j is positive.\nAnswer: j**(3029\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33038429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llzloxzxuxl. What is prob of sequence loll?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5 + 5 + 0 - 3*j + 3*j**2 + 1 - j**3. What is q(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*o + 8. Let t = o + -2. Let w(u) = 5 - 2 - t + 2*u. Let q(r) = 2*r. Determine w(q(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 5500000. Suppose -3*l = -5*l + 8. Suppose 5*a - l*a = 0. Let h be x(a). Round h to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80090*a**4*i + a**3*i + a**2*i + a*i - 2771 wrt a.\nAnswer: 1922160*a*i + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5 + 1 + 4 + r - 2. Let p be 0*7\/(21\/1). Calculate k(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -4*n - 63. Let f = n - -69. Suppose -3*d - 5 = -f. Calculate the least common multiple of 8 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4747 in 0.2, 1879, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i - 4*i)*(2*i**2 + i**2 - 2*i**2) - 6*i + 6*i + 3*i**3 + (0*i - 3*i + 2*i)*(4*i + 2*i**2 - 4*i) + 5*i**3 - i**3 - 5*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**2 - 2*g**2 - 3*g**2)*(2 - 6 + 2) - 3*g**2 - 2*g**2 + 4*g**2 + (3*g - 2*g + 2*g)*(0*g - 3*g - g) as b*g**2 + a*g + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*r*v**3 + 176*r*v**2 - 950*r*v + 390828*v**3 with respect to r.\nAnswer: 20*v**3 + 176*v**2 - 950*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-665)\/14)\/19*4\/105.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1451 divided by 105.\nAnswer: 1451\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 2218356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + 4. Let f(b) = 9*b + 456. Give 4*d(u) - f(u).\nAnswer: -u - 440","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c. Let m(s) = 2*s. Let l(j) = -5*m(j) + 4*z(j). Let u(d) = 5*d**2. Determine u(l(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 500020886 to the power of 1\/2, to the nearest integer?\nAnswer: 22361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 11358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*-3*1*(2 + (sqrt(475) - ((-1*sqrt(475) - sqrt(475)) + 4)))**2.\nAnswer: -180*sqrt(19) + 12833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -336567 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2630465?\nAnswer: 5, 173, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 3, n: 7}. Give prob of picking 2 k.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -8.2. Let h = t + 3.8. Are h and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from 1599997177326.\nAnswer: 1599997177333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/(180\/(-96)). Which is the nearest to -4? (a) 5 (b) g (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -5)*(-309)\/10300?\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 2*c**2 + 3*c)*(-4*c - 3*c + 4*c)*(3*c + 1 - 1) in the form w + v*c**4 + t*c + f*c**2 + g*c**3 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47524, -95045, -142560, -190069, -237572?\n\"Answer: 3*d**2 - 47530*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -20. Let h(w) = 7*w + 16. Let k(v) = 3*v + 8. Let c(j) = -4*h(j) + 9*k(j). List the prime factors of c(s).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 18. Let g(b) = 2*b + 43. Let n(z) = 9*d(z) + 4*g(z). Give n(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -556531337 to the nearest one million.\nAnswer: -557000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2 - 153*f + 59. Is 26 a factor of d(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -11. Let g(d) = -d**2 - 2*d. Determine g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129758 - 430.\nAnswer: -130188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43030?\nAnswer: 2, 5, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-12)*-36*(-10)\/675?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 2*g - 17 = -10*s, -10*g + 14*g = -44 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6656356 is divided by 2218785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is b4c (base 13) in base 8?\nAnswer: 3603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - r + 62, f - 4*r - 50 = -2*r. Let u = f + -56. Solve -4*k + 2*x + 16 = 0, u*x = -5*k - 0*x + 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 176372, 352785, 529196, 705605?\n\"Answer: -v**2 + 176416*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61427 times 3?\nAnswer: 184281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9277*o - 5480 wrt o.\nAnswer: -9277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -335.06 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 58\/7 - (-4 - (-60)\/14). Let z(a) = 5 - 2 - w*a + 4 - 11 - a**2. Let m = -3 + -4. Calculate z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q + 2*q)*(2*q + 3*q - 3*q) - 314*q**2 - 193*q**2 + 47*q**2 + (-3*q + q + q)*(3*q - 2*q - 5*q).\nAnswer: -452*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.55 - -3. Let g = -0.4 + s. Which is the third biggest value? (a) g (b) 1\/2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -76125?\nAnswer: 76123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.035 + 11316331.\nAnswer: 11316331.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2 - 9*h. Let a(u) = -11*u**2 - 26*u + 1. Let q(s) = -3*a(s) + 8*k(s). Let d be q(-7). Let m = 53 - d. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + (10 - -2 - (27 - 16)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 944 divided by 59.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 12:18 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*a - 5*o - 14, a = 3*o + 5. Suppose 5*d = -5*x - 15, -4*x + 2*d - a = 4*d. Solve 3*l = -x*l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312a (base 11) to base 13.\nAnswer: 1b6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*g - 6*g**2 + 61*g + 65*g - 187*g - 1.\nAnswer: -6*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-4 - (30 + -27))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.182?\nAnswer: 0.0364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101042\/3 + 33683. Let n(p) be the second derivative of 0 + 32*p - 6*p**2 - y*p**3. What is the derivative of n(v) wrt v?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 0.02 (c) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94325?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9042 and 538164?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 - i**4 + 2*i**4)*(-3 + 1 + 1) + 3 - 3 - 3*i**4 + (-6*i + i - 231 + 225)*(2*i**3 + 72*i**2 - 72*i**2).\nAnswer: -14*i**4 - 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/((-220)\/20610) - -10 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 3*j + 0*j)*(-23*j**2 - 49*j**2 + 23*j**2)*(-2 + 0 + 0).\nAnswer: 196*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.163? (a) 49 (b) 1\/2 (c) 4 (d) -2\/5 (e) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0507 + -0.0907. Let f = -0.026 - -0.026. Which is the closest to 0? (a) v (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**16\/d*d*d**8\/d assuming d is positive.\nAnswer: d**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2000, 2009, 2032, 2075, 2144, 2245?\n\"Answer: d**3 + d**2 - d + 1999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**4 + u**3 - u**2 + u + 2. Let f(b) = 7*b**5 - 19*b**4 - 147*b**3 - 269*b**2 - 75*b + 58. Let j(g) = -f(g) + 5*h(g). Solve j(p) = 0.\nAnswer: -2, -1, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 19*v - 571. Calculate q(35).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342782754.\nAnswer: 2, 3, 23, 601, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103483*r**3 - 103490*r**3 - 103491*r**3 + 310459*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = f - 5*w, 1 = 3*f - 4*w - 20. Suppose -2*p + 8 = n + 4*n, f*p + 4*n = 12. Sort -1, p, -3 in ascending order.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2873395.346 to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954 a factor of 10214932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015921 to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 44 - 2*g - 12*g + 92 + 16*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*4)\/2 - -7. Suppose u*g = 5*o - 5, -2*o + 1 = -g - 3. Suppose -o*r + 48 = -0*r. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 1\/2 (c) -0.2 (d) 0.952 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 9*t - 1573. Suppose 124*q = t*q + 2112. Calculate the greatest common divisor of 64 and q.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 0*c - 3*c - 2 - 2*c + 2 + (3 + 2 - 3)*(4*c - 3*c + c) - 4 + 4 + 3*c + 3*c - 3 + 3.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 715243750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 662224769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - 2*s + 10. Let q be i(0). Suppose q*b - 14*b + 24 = 0. Suppose -b*f = 5*f - 1056. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**3)\/(m*m*(m*m*m**1*m)\/m)*(m\/m**1)**(2\/9)*(m*m**(3\/5)*m)\/m*m*m*m\/m**(-3\/4)*(m**(-1\/4)*m)**(1\/6) assuming m is positive.\nAnswer: m**(-61\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4248883.\nAnswer: 4248883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1775595099?\nAnswer: 3, 311, 1903103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126.7 - -127. Sort 0.5, -1, 2, k in descending order.\nAnswer: 2, 0.5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64292621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2*j + 4 = 0, j = -2*x + 6*j - 34 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 28 - 26 - 39 = 23*b - 5 + 26, 3*l = 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -687 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 166453046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1344 + -1341. Which is the closest to 103? (a) 5 (b) -2\/11 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*36\/20 + 11. Put -65, s, 5, 38 in descending order.\nAnswer: 38, 5, s, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-618)\/(3 + -6 + 1).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*j - 57*j - 22*j)*(5*j - 10*j - 5*j).\nAnswer: 1190*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (645 - 1576 + 590)*(-2*w**3 + 2*w**3 + 3*w**3)*(4*w - w - 4*w).\nAnswer: 1023*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 37 (b) -7913 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from gcoccgcmgg?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -804*r + 698*r + 212 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -30*g - 71. Calculate h(-7).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h + 2. Calculate the smallest common multiple of 5 and h*2\/(-3)*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 22*r**2 + 3952*r - 13529. Determine o(-183).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -92774.538 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/10)\/((-98163)\/422856)\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4531 = 2*m + 1273. Suppose -3*d - 2*o = -m, -d + o + o + 543 = 0. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399531.562 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (284\/(-71)*10\/(-8))\/(1\/2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 7 (c) -17\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*q**2 - 40*q**5 - 6*q**5 + q**3 - 127*q - 2*q**3 + 103*q**2 + 129*q wrt q?\nAnswer: -2760*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18331 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204590 is divided by 769.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3653809111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**3 + 2*w**2 - 1. Let i be z(3). Let p = -143 - i. What is the remainder when 2 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/49))\/i**(-24)*(i**17)**(1\/9) assuming i is positive.\nAnswer: i**(11876\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - q + 118 = 0, 2*u + 5*q + 12 = 138. Suppose -u*c + 33 = -55*c. Find the second derivative of -2*b**2 + c*b - 24*b**2 - 37*b wrt b.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (56 - (-7 - -37))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53.4 + -44. Let g = -1244.93116 - -1254.3311559. Let i = a - g. Round i to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6637721.\nAnswer: 6637721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 467.223 to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 16 - 5) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11b648 + -b1?\nAnswer: 11b587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1064420189 to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14*g + 44. Let m be w(3). Suppose m*k + 0 = 36. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - k + 147. Is (-14)\/k - ((-58712)\/14 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = i + 10, 2*g + 62*i + 205*i = -1272 - 591 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**(-1\/2))*w*w**(-3))\/(w\/(w*w**1))**(-42))\/(w**3\/(w\/(w*w**3))*w\/((w*w*((w*w**1\/w)\/w)\/w*w*w)\/w)*w\/w**(-5)) assuming w is positive.\nAnswer: w**(-107\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.9955833709318 - -1277177.0095836409318. Let i = w + -1277153. Let v = -0.014 + i. What is v rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 7*n**2 - 7*n + 6. Let j be p(-7). Calculate the highest common factor of j and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (-31 - 10) + -21?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3246960 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/10)\/(12\/(-20))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**3*t**3 - 68*b**3 + 19*b**2*t**5 + 7*b*t wrt t.\nAnswer: 24*b**3*t + 380*b**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1794 divided by 26\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-2*x + 0*x + x) + x + 0*x - 3*x + (0*x + x + x)*(-183 + 64 - 124).\nAnswer: -490*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 125?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2024, 2477, 1326, -1441, -5836, -11871, -19558, -28909?\nAnswer: -39936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -3 - 3\/20*q**5 + 0*q + 10\/3*q**3 - 1\/24*q**4 + q**2. Find the second derivative of z(l) wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1854.0551499 rounded to the nearest ten?\nAnswer: -1850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 1, t: 2, p: 1, g: 1, b: 1}. What is prob of picking 1 p and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 5*u)*(-4 + 5 - 5) - 2*u + 4*u + u - 2.\nAnswer: -17*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -14 + 22. Put d, -34, 4 in decreasing order.\nAnswer: 4, d, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a - 4. Let i(n) = 8*n + 7. Let z(c) = 2*i(c) + 5*t(c). Differentiate z(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from syssy?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + 4*6*3*sqrt(176) + 4)**2 + -1.\nAnswer: 4032*sqrt(11) + 912430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4042 a factor of 1130038108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2. Let c(y) = -83*y - 7. Let w(m) be the second derivative of -125*m**3\/6 - 11*m**2\/2 - 15*m. Let f(i) = 8*c(i) - 5*w(i). Give d(f(l)).\nAnswer: 3042*l**2 + 156*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x. Let l(c) = 7*c - 34. Let h(p) = -2*p - 3. Let q(z) = 6*h(z) + 2*l(z). Determine g(q(i)).\nAnswer: 8*i - 344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {r: 2, c: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2840 = -5*g + 5*p - 2005, 4*p = -4*g + 684. What is the remainder when 1190 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -2 (c) -0.4 (d) -461\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 411659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38736829 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156297 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -398\/9 - -1972\/45. Let z = 40 - 42. What is the nearest to j in z, 1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 553*z + 252*z + 70*z + 13246 + 38379 for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 1. Let f(x) = 11*x + 6. Let q(c) = c**2 - 14*c - 175. Let g be q(22). Calculate g*f(o) + 5*p(o).\nAnswer: 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -23, 3, 2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -556 + 558. Find k such that 2\/7*k**5 + 18\/7*k**3 + 0 - 10\/7*k**4 - z*k**2 + 4\/7*k = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1229, -1254, -1265, -1256, -1221?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 4*d**2 - 18*d - 16. Suppose 0 = -2*p + 6, -3*n - 2*p - 8 = -5*n. Let j be s(n). Let 8*v**3 - 3*v**4 + 5*v**4 - v**j - 9*v**3 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00255323 to 4 decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19628 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. What is the second smallest value in d, 1, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -1045?\nAnswer: 1045.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**2 - 16*o - 11. Is r(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {p: 2, y: 9, i: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(72)*-1 + sqrt(72) + sqrt(72))**2 + 3*sqrt(6)\/sqrt(3))*5.\nAnswer: 15*sqrt(2) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.8 + -8.5. Let d = -0.7 - l. Let s = 3 + -3.1. What is the smallest value in s, 0.1, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, c: 11, b: 1, d: 6}. What is prob of picking 4 d?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xllxrr. What is prob of sequence xrrl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 5*p**2 + 7*p - 9. Let n be y(6). Let o(s) = 4*s**2 - 6*s - 2. Let b(c) = 3*c**2 - 5*c - 2. Let z(i) = n*b(i) + 2*o(i). Give z(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85\/12 + 1625\/12. Let y = h - 440\/3. Calculate the common denominator of (105\/40)\/(-7)*26*1 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 276, 82 in decreasing order.\nAnswer: 276, 82, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 6*x + 29, 2*x - 40 = -4*f - 52. Suppose 15 = -4*n + n. Put n, -8, -2, f in decreasing order.\nAnswer: f, -2, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 0.1 (c) 1\/5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*f + 43 - 103 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 = 3*b. Suppose -q + 0 = n - 3, b*q - 5*n = 6. Suppose -2*h + 6*j - q*j + 56 = 0, 4*j = 16. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 168 + 643. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3334*g - 20097. Determine t(-6).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 13*l + 20. Give m(16).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o. Let t(z) = z**2 - z + 1. Let j(u) = -5*u**2 + 2*u - 2. Let v(w) = -5*j(w) - 10*t(w). Determine v(f(c)).\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/5 of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = -67 - 41. What are the prime factors of (7059\/w - -1)*6\/(-4)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 5 + -3 - -105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkkykykhyhkrgy. Give prob of sequence hgr.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -1. Let s = 1.7049 + -1.2049. Sort q, s, 0.43 in descending order.\nAnswer: s, 0.43, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 204, 728, 1756, 3456?\nAnswer: 5996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**4\/24 - 11*d**3\/2 + 32*d**2 - 2. Let p(i) = 2*i - 66. Let w(k) = -3*p(k) + 7*s(k). Calculate w(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 - 2*y**2 + 167*y + 1463. Calculate l(-9).\nAnswer: 1985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 417 - 418. List the prime factors of (-9 - (1 + -11))*(-51)\/p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-15))\/((-26)\/39). What is the nearest to q in 3, -2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352*l - 2709 = 309*l. Calculate the greatest common divisor of l and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2211 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -60c0c3 (base 15) to base 7\nAnswer: -54034065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -209.44 in 3\/4, -5, 1, -1\/3, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 h, and 1 p when four letters picked without replacement from {p: 2, b: 1, z: 1, c: 2, h: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) -2\/7 (c) 18474 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -117 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11464 and 1331257?\nAnswer: 10650056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 31246\nAnswer: 2\/15623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 = 5*j - 45. Suppose 0*r + 2*r - j = 0. List the prime factors of r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 2310.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12112*v**3 + 24291*v**3 - 12140*v**3 + 4*v**2 - 4*v**2.\nAnswer: 39*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01565 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, r: 4, a: 11}. Give prob of picking 3 r and 1 a.\nAnswer: 11\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -27238 - 34298. Suppose 18742 = 18*k - z. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-12)\/q**(-5))\/(q**(-2))**(21\/5))**26 assuming q is positive.\nAnswer: q**(182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-170)\/(-51) + (-1 + -1 - 1). Let 0*v**2 + n*v**3 - 2\/3 - v = 0. Calculate v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times 22.37?\nAnswer: 20.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k + 14*k + 13*k + 5.\nAnswer: 5*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 673282861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -4 - 1 - (24 + -29)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28968862 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/222725 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 16 = 5*v, 0 = v - 0*v + 2*o + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 11, 4, 1\/6, -4365, 0.14?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -16 + 16 + -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o + 4*u - 24, 5*u - 54 = -4*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 39. Let n = q + 28. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, o: 3}. What is prob of sequence wwo?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000029469443 to 7 decimal places.\nAnswer: -0.0000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 10:29 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 279208145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 641561 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 - (170 - (180 + -83)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -15. Let k = t + -2. List the prime factors of -41*(-2 - k) - 4.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1286 is divided by 297?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 1649346?\nAnswer: 8246730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1376100 divided by -27522.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4020318076957 + 0.29.\nAnswer: 4020318076957.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkokmkmmoookoo. What is prob of picking 2 k and 1 o?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**4 + 115*p**2 - 3*p**4 - 3 + 0*p**4 - 113*p**2 - 86*p**3 to the form l + i*p**4 + q*p**2 + k*p**3 + c*p and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 - -12203?\nAnswer: 11323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 5*a**2 - 5*a - 6. Let r be c(4). Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w + 760. What is w rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 5*h + 12, 4*h = -2*t - 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2511, -10154, -22929, -40836, -63875, -92046?\n\"Answer: -2566*t**2 + 55*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/5, 24, -1, -38\/3, 8, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(14)\/(2*sqrt(2) - sqrt(2))*-4 + sqrt(7) + 4 + sqrt(7) + 0 + sqrt(7) + 1)**2.\nAnswer: -10*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 0*f + 0*f + (f + 0 + 0)*((0 + 2 - 1)*(3 - 3 - 1) - 3 + 1 + 1))*(1 + 24*f + 23*f - 40*f) to g + v*f + q*f**2 and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*a**4 + 50*a**3\/3 - 28*a**2 - 200*a\/3 + 16 = 0. What is a?\nAnswer: -3, -2, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8 + -2 - (-45)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2249 by 4.\nAnswer: -2249\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2 - 7. Let h = -12843 - -12846. Suppose 0 = -2*v - 2*v - 12. Put -2, v, z, h in increasing order.\nAnswer: v, -2, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 6*r - 215 = -4*q, 5*r = q - 35. Calculate the least common multiple of q and 110.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 * 0.13.\nAnswer: 0.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**1)**46\/((m*m\/(m\/m**(1\/3)*m))\/(m\/(m*m**(-8)))) assuming m is positive.\nAnswer: m**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*t - 434*t = -14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 11:31 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180.93 - -180.43. Let p be (-32)\/(-18) - 2\/1. Put -15, p, d, 0 in increasing order.\nAnswer: -15, d, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (3 + -2 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -70*l + 1802. Give s(26).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 17 = -4*n, -u + 4*u + 9 = 0. Let s(q) = -q**3 + 8*q**2 - 2*q + 8. What is s(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 13*w**2\/2 + 15*w + 19. Let h(j) = 6*j + 7. What is 9*h(d) - 4*k(d)?\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14)*o*o*(o*o**(-3\/17)\/o)\/o*o*o*o**7\/(o**(-4)\/o))**(-9) assuming o is positive.\nAnswer: o**(-126\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**14\/q*q**10*q*q**12*q**(3\/10) assuming q is positive.\nAnswer: q**(373\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 0 + sqrt(1100)*-1 + (sqrt(1100) - 1*(-1 + sqrt(1100))) + sqrt(1100))**2.\nAnswer: 20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 86*r + 1129. Let q be g(-13). Solve -q*a + 18*a = 42 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-5)\/((-20)\/24). Solve 5*n - 2*t = 2*t + 35, -g*n = 5*t + 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212, -224, -244, -272, -308, -352, -404?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1305\/4 + -326. Which is the third smallest value? (a) -9 (b) -2\/3 (c) 0 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -698*k**4 + 379?\nAnswer: -2792*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**4\/12 + 2*z**3\/3 + z**2 - z + 36. Determine c(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 562 and 5.\nAnswer: 2810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2306*l**3 + 2199*l**2 + 54. Let h(g) = 85323*g**3 + 81362*g**2 + 1989. Let s(t) = 6*h(t) - 221*i(t). Find the third derivative of s(o) wrt o.\nAnswer: 13872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6.069. What is g rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 24*k - 245 = 0. Let j = k - -37. Let z = 12 + 3. Solve -j*f - z = -3*h, -4*f + 11 + 4 = 3*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40964 - -40971. Suppose -8*u + 2*b + 20 = -4*u, 3*u = -5*b - 11. Solve h = 5*s - u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113426 rounded to the nearest 100?\nAnswer: 113400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 743857?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15015.39ng to micrograms.\nAnswer: 15.01539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457431?\nAnswer: 3, 13, 37, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u. Let g(d) = 10*d**2 + 13*d. What is 2*g(b) - 18*p(b)?\nAnswer: 2*b**2 + 44*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 859 = -2*r + 175, -1551 = -3*r + 3*s. Calculate the remainder when r is divided by (-10)\/35 - (-9 - (-3762)\/(-133)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 18*n + 8. What is the remainder when 476 is divided by h(-6)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*l)*(-l**2 + 1 - 1) - 288934*l + 288934*l + 3131*l**3 to i + t*l**2 + h*l + y*l**3 and give y.\nAnswer: 3133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -67*o**3 - 6*o**2 + 12*o. Let j(s) = -8845*s**3 - 793*s**2 + 1586*s. What is -6*j(b) + 793*m(b)?\nAnswer: -61*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307 = -96*a + 143 + 1182 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.005 - 2.695. Let g = -2.9 - d. Which is the second smallest value? (a) -0.1 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 - 35*x**2\/3.\nAnswer: -x**2*(x + 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125786 * 0.18.\nAnswer: 22641.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-231)\/(-43725)*-25)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 16 = -3*p. Find the second derivative of -16*c**4 + 51*c**4 - 20*c**4 - 15*c**4 + p*c + 141*c**5 + 3 wrt c.\nAnswer: 2820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*t - 25 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*j, v + 5*j + 22 - 7 = 0. Suppose 0 = -4*c + 8 + 12. Suppose -c*d + v = -5. Are d and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 83 + 60\/27 + 2\/(-9). What is the remainder when (b\/(-10) + 3)*-10 is divided by 18*6\/4 + 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**3*n + 87150*g**2*n**3 + 328*g**2*n + 24*g*n**3 + 18431698*g*n wrt g.\nAnswer: -18*g*n + 174300*n**3 + 656*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(sqrt(1008) + 0) + -1)**2.\nAnswer: -720*sqrt(7) + 907201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/13632 and -59\/828.\nAnswer: 940608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19411 or -0.1?\nAnswer: -19411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - 15*f - 1. Let s be g(3). Suppose -3*m + 2*l = -17, -7*m + s*m + 2*l = -5. What is b in -1\/4*b**m - 4 - 5*b - 2*b**2 = 0?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) - 46\/(-8). Suppose -3*x + 4*n + 907 = 0, u*x - 923 = 3*x - 4*n. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, v: 5, r: 1, b: 1, e: 2, n: 1}. What is prob of sequence aa?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-24)\/56)\/((-10)\/(-119)))\/((-40320)\/(-4000)) and 73\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 5. Suppose -6*m - r = -2. What is the third biggest value in m, -0.5, -3\/8, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117912 divided by -29478.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -361, -8, -24, 4 in decreasing order.\nAnswer: 5, 4, -8, -24, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 (base 4) in base 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149032149.\nAnswer: 3, 7, 17, 417457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1.367\nAnswer: 0.2734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14582 + 21951. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*u**2 + 1360 - 1345 + 3*u**2 to the form c*u**2 + n*u + d and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f = 2*y - 46, -5*f = 22*y + 100 - 178 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 - -230303?\nAnswer: 231040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 553 + -253. Let h = -300.000217 + y. What is h rounded to five dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 6. Let z = -324.3 - -324. Which is the nearest to -0.1? (a) 0.5 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from oogllwllgggovlogogg.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14076434 a multiple of 1891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 6*p - 26 = 0. Let r = -1 - -1. Suppose 4*v - 2*v = r. Sort v, p, 1 in ascending order.\nAnswer: p, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8572250 is divided by 93?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - (-53)\/(-7))*(5 + (-180)\/8). Let k = -0.2 - 0.2. What is the nearest to -0.1 in i, k, 3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, 1\/9, -0.68?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 9:18 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3. Let h(j) = -j + 1. What is 3*h(a) - v(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-45) + (6 - (-736)\/(-120)). Which is smaller: -598 or d?\nAnswer: -598","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62506?\nAnswer: 2, 31253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*c + 11. Suppose r = -2 + c. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123129221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 707571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57274 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -15*f + 8. Let l be o(-3). Let m be (-24)\/(-56) + l\/7. What is the biggest value in 0.2, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 y when three letters picked without replacement from {q: 7, y: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14648 - 8049. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = 764. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 7*b**2 - 8*b + 4. Let q be c(-6). Let t = 850 - 847. Differentiate 61 + 3*n - 50 + q*n**4 - t*n wrt n.\nAnswer: 64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-6) + -1 + -8.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -4*w + 10*f + 16, 20 = 5*w - 5*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1391 + 0?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -8.1378?\nAnswer: -1.62756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Let b = 0 + c. What is the derivative of b*s - 7 + 2 + 1 wrt s?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6 - 14 = 0. Let b be -2*11 + (-5)\/(70\/(-56)). Let v(l) = 2*l**2 + 35*l - 17. Let p be v(b). Sort n, 0, p, 4 in decreasing order.\nAnswer: 4, p, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50953095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5052.949 to zero decimal places.\nAnswer: 5053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -4, -11 in increasing order.\nAnswer: -11, -4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(0\/10 + (-6)\/4). Let k be 12\/v*(-15)\/(-6). What is the hundreds digit of 248\/k + 3\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 81375 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 2) + 37 + -37 + 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 3*g**2 - 1. Let o be d(2). Calculate the highest common factor of o and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -378133, -1512511, -3403131, -6049993, -9453097?\n\"Answer: -378121*t**2 - 15*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 6:15 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06683257*6.\nAnswer: -0.40099542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.4637 years to centuries.\nAnswer: 0.254637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (8 - ((0 - -7) + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(7\/2 - 3). Let k be v - 1\/(-3)*3. Sort k, 3, -1\/3 in descending order.\nAnswer: 3, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3))**7\/(y**(-2\/25)*y**(-4)) assuming y is positive.\nAnswer: y**(481\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**3*v**2 + 2*r**3 - 921*v**2 wrt r?\nAnswer: 6*r**2*v**2 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2902, -2901, -2890, -2863, -2814, -2737, -2626?\n\"Answer: a**3 - a**2 - 3*a - 2899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (105*3)\/(-7) + -1. Let m be -3 - 1\/14*d. Which is greater: m or -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 j when three letters picked without replacement from {n: 3, j: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, 5, 0.27, -105\/23?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 6*u + 0*u**5 + 0*u**3 + 0*u**2 - 1\/2*u**4 + 0 - 1\/15*u**6. What is the third derivative of t(d) wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1579 divide 14359426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -687*x**2 + 64*x**4 + 61*x**2 + 2*x**6 - x**6 + 8*x**6 - 645*x**2 wrt x?\nAnswer: 1080*x**3 + 1536*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2 - ((-4 - -4) + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 26, 48, 72?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104826, -209380, -313360, -416478, -518446, -618976?\nAnswer: -717780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 372 = -3*r, -6*r + 108 = -5*r - 5*v. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125\/10*1\/5*32\/10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + (sqrt(85)*-2 + sqrt(85) - sqrt(85)) + sqrt(85))*1 - sqrt(85))*-1)\/((sqrt(180)\/(-1*sqrt(4)))\/sqrt(9)) + 3.\nAnswer: -sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2288 and 1430176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 33618498.\nAnswer: 16809249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 14, 27, 36, 35, 18?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 2*n - 2*n + n**2 - n**3 + 6. Is r(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 0*t - 41\/120*t**6 + 0*t**3 - 57\/8*t**4 - 212*t**2 + 0 + 0*t**5. What is the second derivative of p(x) wrt x?\nAnswer: -246*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29193 divided by 3?\nAnswer: -9731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 50*b**2 + 400*b + 62. What is w(-57)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 0\/(-1) + (-12)\/(-3). Suppose s - 664 = -3*b, b - 4*s = a*b - 225. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -6 (c) 4 (d) 4\/3 (e) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -827, -828, -829, -830, -831, -832?\n\"Answer: -r - 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-135\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 852, 1606, 2190, 2520, 2512, 2082, 1146, -380?\n\"Answer: -14*r**3 - r**2 + 855*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h**3 + 2915421*h - 1457700*h - 1457721*h - 3*h**3.\nAnswer: -29*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/220 and 161\/724350.\nAnswer: 1448700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*w - 2 = 0, -7*t - w = -2*t - 7. Let y = -0.6 - 0.4. Which is the second biggest value? (a) 0.2 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**4\/24 + 5*t**3\/2 + 2*t**2. Let w be m(-9). Suppose -w = 5*s - 21, 24 = 3*r + s. Solve 2*b + 3 = -r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 539*v - 4352. Give x(8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*b = -w + 19, b - 11 = -3*w. Let i(o) be the first derivative of -4*o - o + 2 + o**w - 4. Let a(t) = -2*t + 4. Give -4*a(c) - 3*i(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 1960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w**2 - 5*w - 4. Let s(b) = -3*b**2 + 2*b + 2. Let n = -43 - -41. Let k be 10\/3*3\/n. Give k*s(v) - 2*x(v).\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -9. Let f = c + -5. Let t(b) = -5*b**3 - 296*b**2 + 239*b - 64. Let w be t(-60). What is the third biggest value in f, w, 3, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38643969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99536544?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*h - 34, 68 = 10*z - 6*z + 5*h. Calculate the remainder when 47 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59271, 117592, 175913, 234234, 292555, 350876?\n\"Answer: 58321*i + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 - 2 = 0. Let d = -2.939 + -0.061. Let y be 4\/(-14) - 15\/(-28). What is the second biggest value in y, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:24 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -83506522, -167013038, -250519554?\n\"Answer: -83506516*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 724297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 2*n**2 + 2*n**2)*(-513 - 1119 - 32 - 892 + 290).\nAnswer: 4532*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/14 - (-549)\/(-54)) + 8.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = 14*k - 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70782 and 282?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -70067, -139842, -209617, -279392, -349167?\n\"Answer: -69775*i - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 2*p - 10. Let j be c(9). Calculate the common denominator of ((-7)\/(-14))\/(2\/j - 0) and 65\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (32 - 63) + 40?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49008?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.106 + -11.994. Let h = n + 13. Let u = -0.9 + h. Which is the nearest to u? (a) 3 (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 3*o**2 - o**2 + (-2 + 2 + 2)*(2*o**2 - 1 + 1) + (-o + o - o)*(5*o - 5*o - o))*(-2*o**2 + 50*o**3 - 94*o**3 + 53*o**3).\nAnswer: 90*o**5 - 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z + 150. Let r be g(21). Let j(t) be the first derivative of 5 + 5\/2*t**2 - 4\/3*t**r + 0*t. Find the second derivative of j(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j = 16*j + 140. Find the third derivative of -j*q**2 + 110*q**3 - 215*q**3 + 110*q**3 wrt q.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8764\/72303)\/(-1 - (-2)\/6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/(7776\/(-600)) + ((-2)\/(-9))\/1. Let t(m) = -m**3 + 3*m**2 - 5*m. Determine t(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = -5*x + 333. Sort -3, 99, x.\nAnswer: -3, x, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63 - 7874*i + 62 - 96 + 361*i**3 - 29 wrt i.\nAnswer: 2166*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 6042 + 6042.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2 = -z, -z = 5*h + z + 11. Let s(o) = -22*o**3 - o**2 + o + 1. Let f(t) = -22*t**3 - t**2 + t + 1. Let y(l) = 4*f(l) - 3*s(l). Is y(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233141?\nAnswer: 233141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**4\/2 + 92*g**3\/3 + 304*g**2 + 6864. Suppose b(h) = 0. Calculate h.\nAnswer: -38, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 166565, 166555, 166517, 166433, 166285, 166055, 165725, 165277?\n\"Answer: -3*p**3 + 4*p**2 - p + 166565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f = 11*f - 91 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(570)\/(sqrt(50)\/sqrt(5)))\/sqrt(3)*-6.\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 11:48 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55929, 223731, 503407, 894957, 1398381?\nAnswer: 2013679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 573195 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25170*w - 5885 = 25494*w - 377 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -96\/31 (b) -7\/47 (c) 1 (d) 2\/11 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {r: 4, t: 3, p: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (48 - 43) + 6\/(-4)*-2. Let y be ((-50757)\/(-14))\/(2 + (-10)\/w). Suppose 5*a + r = y, 3*a + r = -2*r + 2898. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -336612 (base 16) to base 11\nAnswer: -19a0862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 82*j - 1226. What is u(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -233926, -233927, -233928, -233929?\n\"Answer: -i - 233925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, q: 1, d: 7, f: 3, j: 1}. What is prob of sequence dwd?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, e: 3, w: 4}. Give prob of picking 2 a and 1 w.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1590 = v, -6360 = -4*v - 0*v - n. Suppose 0*p + v = 6*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4421, 8840, 13259, 17678, 22097?\n\"Answer: 4419*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-600))\/(1\/(-5)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*f + 259331 = -444073. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/8*(-24)\/(-18). Suppose -u = -s + 3*b, s - 5*s + 3*b = -19. Sort -3, -9, -2, s.\nAnswer: -9, -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 18*x**2 + 20. Let t be b(18). Suppose -295 - 5 = -5*d. What is the greatest common divisor of t and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005483?\nAnswer: 3, 335161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + -2. Let w be (4\/l)\/(5\/(-100)). Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(11) - (1 + sqrt(1331) - sqrt(11))).\nAnswer: -9*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -31. Is 2\/3 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from esuueesuuuuseues.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -2 (b) -4.2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180500151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/43290 and 59\/4?\nAnswer: 86580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17831, 18033, 18569, 19601, 21291, 23801, 27293, 31929?\n\"Answer: 27*k**3 + 5*k**2 - 2*k + 17801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/14*(692027\/(-406))\/487?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n - 2*n**2 + (140*n - 55*n + 203*n)*(-1 + 2*n + 1).\nAnswer: 574*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s. Suppose s*w + 2*w = 126. Let k = -14 + w. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 246, 365, 484?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - f = -35952, 2*r + 4*f - 21240 = 2748. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 57650 = -2*q, -5*i + 1659*q + 144174 = 1657*q. Is i a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 88\/(-32)*120\/30?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -32, -25, -4, 37, 104, 203, 340, 521?\n\"Answer: m**3 + m**2 - 3*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 9:10 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 g, and 1 v when three letters picked without replacement from {o: 1, v: 5, g: 1, c: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2373*a**2\/2 - 1188*a - 3\/2 = 0.\nAnswer: -1, -1\/791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 106*s**3 + 16*s**2 - 11*s + 11. Let p(w) = 21*w**3 + 3*w**2 - 2*w + 2. Let y(v) = -2*j(v) + 11*p(v). Is y(1) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 17. Suppose -i + w*v = 387004, -5*i - 548938 - 1386066 = -4*v. Round i to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) 0 (c) 0.1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7331041 (base 8) to base 11.\nAnswer: 110a193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**5\/7 - y**4\/7 + 66*y**3\/7 - 62*y**2\/7 - 65*y\/7 + 9 = 0?\nAnswer: -9, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -622 + k + 13*k - 14*k + k**2 - 967 in the form t*k + h*k**2 + q and give q.\nAnswer: -1589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6, -1, -22, -57, -106?\n\"Answer: -7*f**2 + 14*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3118, -3113, -3108?\n\"Answer: 5*g - 3123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/(-144)*(-8)\/(-10). Let t = 28\/51 - -2\/17. What is the closest to t in 4, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 754 = -9*x + 853. Suppose 36*t = -4*l + 32*t + 72, 2*l - 39 = -3*t. Solve -x*f = -l*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -2. Let q be (-1 - 2)\/(-3 - -4). Is p <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 2) + -5 + (3 - 10) - 54?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91272 is divided by 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -990, -2213, -3420, -4605, -5762, -6885, -7968, -9005?\nAnswer: -9990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100 + -231 + 192 + -60.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/12476 and 67\/4.\nAnswer: 12476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 9*m + 18. Let o be u(7). Find the common denominator of (18\/24)\/3 - o\/(-5) and -13\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**4 - 200*g**3 + 2252*g**2 - 5416*g + 3360 = 0.\nAnswer: 1, 2, 12, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 497.01217\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46452*l - 23216*l - 23242*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -5\/2*w**2 + 0*w + 4. Let n(p) = p**2. Determine d(n(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) -1.09 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - a + 3*a)*(0 + a + 0)*(5*a**2 - 4*a**2 - 3*a**2)*(-3*a + 0*a - 3*a).\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2161, -2, -35?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dghd when four letters picked without replacement from {h: 2, d: 5, g: 12}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 299933\nAnswer: 11\/299933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 3*y**2 - 3*y + 3. Let m(t) = 12*t**3 - 32*t**2 - 32*t + 32. What is 3*m(r) - 32*w(r)?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 35 = 5*j, 4*j = -0*y + 3*y + 7. Solve -y = -l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6893*u**3 - 10*u + 7. Let j(y) = -20681*y**3 + y**2 - 29*y + 20. Let g(t) = 8*h(t) - 3*j(t). Is g(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -10 - (-13 + -1 + 2 + -20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -221*z - 5. Let q be g(-5). Let r = q + -391. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 75 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*q - 18. Let a = -0.2 - -0.4. Let c = a + -2.2. What is the third biggest value in q, c, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904241017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015 times -33?\nAnswer: -66495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.700694l in millilitres?\nAnswer: 700.694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9756 and 734660946?\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9456*h + 27 = -7*x - 9451*h, -3*x - 5*h - 33 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 1:42 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3290664*0.9.\nAnswer: 2961597.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 680, 1326, 1894, 2348, 2652, 2770, 2666?\nAnswer: 2304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 18 + 46 = -19*j - 2*a - 0, 0 = -a - 3 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d3 + 2295?\nAnswer: 2388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (sqrt(1584) + -2 + 3 + sqrt(1584))*-6 + 5)*-1.\nAnswer: -864*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1685 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 162?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 7. Let m = z - -7. Let p = 1 - 6. What is the smallest value in m, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from {s: 1, p: 1, y: 1, o: 1, b: 1, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 18*m**2 + 3931*m + 74397. What is i(-19)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + i + 10, -2*t - i = -35. Let o = t - -210. Suppose -r = -2*s + 152, 3*s - 2*r - r = o. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 27*s**4 - 176*s + 6. What is the first derivative of b(c) wrt c?\nAnswer: 324*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*i = -1686 - 1808 + 619 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -2*r - 46, 546*r - 549*r - 33 = -2*m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*r**4 + 219*r**4 - 81*r + 59*r - 645*r - 44*r wrt r.\nAnswer: 2268*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 43 = -13. Let z = 37 - 52. Is z equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*b + 101*b = 113*b + 310 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15006 and 1586.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.012 - -1.012. Let o be (-65)\/105 - (-4)\/14. Which is the fourth biggest value? (a) s (b) -5 (c) o (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**3 + 203700772*p + 204706847.\nAnswer: -3*p**2 + 203700772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -19*q - 21. What is o(3)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 4:09 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**5 - 3*x**4 - 210117*x**3 + 35294509*x**2 wrt x.\nAnswer: 60*x**2 - 72*x - 1260702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q = -30*q - 384. What is the greatest common divisor of 400 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*h**2 - 1644379*g**3*h - g**3 - 6414982*g**2*h**2 - g**2*h + g**2 wrt h?\nAnswer: -4*g**3 - 12829964*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 8 + 4. Suppose -9 = -3*m + r. Suppose -5*v = -2*v. Solve n + m*u = -15, 3*n - 11 = -u - v*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6398, 12795, 19192?\nAnswer: 25589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3717522000 to the nearest one million.\nAnswer: 3718000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-28))\/(40\/16*39\/(-65))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 3*t, 5*t + 0*t + 6 = b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 0.17 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-31)*(-26)\/26)\/((-8)\/(-8)).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -7, 0.1, -1\/2, 2\/15 in descending order.\nAnswer: 0.5, 2\/15, 0.1, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 44154350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.37088 + 0.02912. What is the fourth biggest value in j, 1, -1, 3\/8, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -4*h + 5*d, -d = -2*h - 10 - 40. Let w = h + 35. What is the units digit of 1\/3 + w\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4767727 - 5?\nAnswer: 4767722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-30)\/18)*1742\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792038251?\nAnswer: 31, 25549621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -42*n - 10. Let r be a(-10). What is r rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192*s**4*v**2 - 944*s**2*v**3 - 367*s*v**3 - 5*v**3 - 78*v wrt s?\nAnswer: 2304*s**2*v**2 - 1888*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4386, -8796, -13204, -17610?\n\"Answer: g**2 - 4413*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 31*q**2 - 110*q - 4*q**3 - q**2 + 45 + 107*q + 3*q**3. Let b(d) = -19*d + 1. Let f be b(-1). Is x(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4032 (base 5) to base 11.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001424563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*s + 4*j, s + 4*j - 6 = 5*j. Let b(k) = 14*k + 1. Is b(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o + 5. Let q be p(3). Suppose 18*a = 17*a + 1. List the prime factors of 10 + q - (a + -9*13).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 37 + 409*m + 33 + 38 - 148.\nAnswer: 409*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4*o + 16 = 0, -2*o = 5*b - 110 + 109 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 4*v**2 + 28*v + 182. Let n be o(9). Solve -n*p = -p + 140 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 502*f**3 - 12*f**2 + 3*f - 3. Let z(n) = 333831*n**3 - 7984*n**2 + 1996*n - 1996. Determine 1996*b(j) - 3*z(j).\nAnswer: 499*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*h + 151 + 287 = -60 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 92*y - 588. What is g(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 11*u - u**2 - 27*u + 3 - 2*u. What are the prime factors of a(-11)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 + -73. Suppose -16 = -6*k + 2*k. Suppose -k*g = -8*g + 308. Calculate the highest common factor of g and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*w - 7, 0 = 4*c + w - 47 + 34. Sort 4, -63, c.\nAnswer: -63, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3578.4 plus -1179.1019?\nAnswer: -4757.5019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let a = 0.8 - v. Let y be (-20)\/(-470) + 4592\/329. Is y at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 0*z**2 + 0 - 268*z + 1\/6*z**3. Let m(l) = -66*l**2. Determine q(m(o)).\nAnswer: -66*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - x)*(0*x + 4*x - x**2 - 1 - 2*x).\nAnswer: x**3 - 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 11*u - 9. Let y be l(12). Let t be (-1 + 4)*(y - 0). Solve -2*x - 4*v = 0, -5*x + 3 + t = -2*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytey when four letters picked without replacement from yejtjyeeyyjjyeee.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-64*w**2 + 33*w**2 + 27 + 35*w**2).\nAnswer: 4*w**2 + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 - 42*q**2 - 13*q + 119. Let i be l(-9). Is i smaller than -5352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**3 - 3*a - 6. Let j(t) = 6*t**3 + 4*t + 7. Let r be 56\/12 + 4\/(-6). Let n be 2\/r + (-126)\/28. Let k(y) = n*j(y) - 5*c(y). What is k(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*k**3*s**2 - 187*k**2*s**2 wrt k.\nAnswer: -546*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/891955 - -20551535179\/10703460. Suppose 9580 = -5*m + 5*j, -m - 4*j - 1234 = 662. Let z = m + d. What is the common denominator of -69\/22 and z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2)*1 + 4.\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 5)\/((-2)\/6). Let p be (-6)\/((-24)\/7) + n. Is p at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let d be 2*(0 - 1\/2). Let z be d\/1 + -1 + 2. Let b(u) = 0*u - u + 3*u + z*u. Determine b(h(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.88274 to 2 decimal places.\nAnswer: 16.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 1623?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -47*a**3 - 9*a**2 - 14*a - 17. Let c(p) = 46*p**3 + 11*p**2 + 15*p + 21. Calculate -4*c(u) - 5*k(u).\nAnswer: 51*u**3 + u**2 + 10*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69.17 - 36.17. Let z = 50 + -4. Let v = z - s. Which is the biggest value? (a) 5 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 971 divide 48019395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 21 = 4*s. Suppose -4*f + 485 = d, 0 = s*f - d + 3*d - 490. What is the greatest common factor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - (749 - 743).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1011 and -4\/37.\nAnswer: 37407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2310 by 77.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, -498, -750, -1004, -1260, -1518, -1778?\nAnswer: -2040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**7*l)*l**(-2\/17))\/((l\/(l*l**5*l*l*l*l))\/(l*l*l*(l*l**(-8)*l)\/l)) assuming l is positive.\nAnswer: l**(-36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, h: 6}. Give prob of picking 1 u and 2 h.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -131321*k - 656815. Give r(-5).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880582 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5757769249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + 0*l + (6 + 0 - 4)*(-5*l + l + 3*l))*(-3 - 2 + 4)*(-l - 4 + 4).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*t - 8620089 + 2324449 = 0. List the prime factors of t.\nAnswer: 2, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38304377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 3954?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 8*m**2 + 15*m - 18. Let v be b(14). Suppose -3*c + 2265 = -v. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) 7 (c) -27 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, f: 3}. Give prob of picking 3 f.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41 + 6?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.375111496 to 2 dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*j - 36*j + 1512. Suppose -g = 2*c - 28 - j, 3*c + 3*g - 300 = 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 6*x = -30. Suppose -2*q + 3 = -3. Suppose 59 = q*m + x*a, -2*m - 3*m + 95 = 5*a. Calculate the smallest common multiple of m and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3408, -3413, -3420, -3429?\n\"Answer: -h**2 - 2*h - 3405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 151150373?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-5) + (-7)\/35. Suppose -w*t + 36 = g, -t - 24 = -3*t + 5*g. Let f(r) = -r**2 + 8*r - 3. Calculate the smallest common multiple of f(5) and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162.76 - -163. Let a = 47 - 49. Put o, a, 0, 0.2 in descending order.\nAnswer: o, 0.2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 7*v**2\/2 - 2*v + 4. What is the tens digit of y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 1178?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5 + 2*d**4 + 29*d**3 + 42*d**2 = 0. What is d?\nAnswer: -3, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - 2*m**2 + 2*m**2)*(0 + 0 + m) - 34*m + 34*m - m**4 + (75 - 75 + 11*m**2)*(3*m**2 + 3*m**2 - 4*m**2) - 3*m**4 + 4*m**4 + m**4.\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 10608.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 156843?\nAnswer: 78421.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3*w - w)*(-49 - 85 + 89) - 2*w + 4 - 4.\nAnswer: -47*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2079 by 189.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 401 + -6815\/17. Which is the closest to v? (a) 2 (b) -0.3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 246540.6 and 4.6.\nAnswer: 1134086.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189278679 + 35671969 = 376*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjrrfjjfrj. Give prob of sequence jfj.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 220*g**2 - 221*g**2 + g**3 - 6*g to the form v*g**3 + r + k*g**2 + c*g and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 23*i**2 - 16*i**2)*(-2*i + 4*i + 0*i) - i**2 + 60 - 60 + i**3.\nAnswer: -75*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5\/1 + (9 - (-159511)\/11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55.202 + 0.662. Let l = f - -54. Let m = -0.5462 - l. What is m rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*c**3 + 91*c**3 - 2*c**2 + 2*c**2 - 6 - 62*c**3 as a + s*c**3 + o*c + u*c**2 and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 507939488?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4400570965 - 64.\nAnswer: -63.5599429035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 234*y**2 + 4796*y + 8640.\nAnswer: -2*(y - 135)*(y + 2)*(y + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 98\nAnswer: -29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 296*t + 9. Suppose -3*c - 9 = -5*p, -5*c + 4*c + 2*p - 4 = 0. Let f be r(c). Suppose 248 = -4*i + 6*i - 5*z, -3*z - f = -5*i. Does 24 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**7\/105 + a**6\/15 + a**5\/6 + a**4\/6 - 38*a**2. Factor w(m).\nAnswer: 2*m*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -c + 4*c + 15, -3*q = -3*c - 12. Factor -2*r**2 + 3*r**2 + 1 + r - q*r.\nAnswer: (r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8348 = -97*r - 81*r - 5566 - 1750 for r.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 17947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/9 (c) -0.2 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3)\/(-15) - 68\/(-10) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q**3 - 7*q**2 + 4*q + 3. Let n(y) = 2*y**3 - y**2 + y. Let c(k) = a(k) - 4*n(k). Suppose 0*l - l = 3*s - 7, s - 7 = 2*l. What is c(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*w + 6. Let a = -37 + 45. Suppose 0 = q - 3*q + 5*u - a, w*u = -5*q - 20. Sort q, 0, 5.\nAnswer: q, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 507\/8 in -0.7, -0.248, 0.1, 0.2, -3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.55 in 2\/23, 298, -5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10444792 and -144.\nAnswer: -10444936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -120.9\nAnswer: -362.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (-9)\/21 + 24\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -22.5. What is the smallest value in 6, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5313, -5314, -5315, -5316?\nAnswer: -5317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*m + 120*m - 58*m - 50 in the form r + b*m and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3278*k - 178*k**2 - 3278*k + 2 to the form l*k + n + f*k**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1970 by -394.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -1428 (b) 0 (c) 2\/7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 + -154.9. Let v = h + 8. Which is smaller: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4 + 1 - 4*y**2 - 155*y + 153*y. Determine p(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3969\/2 (b) -3 (c) 3\/58 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729441?\nAnswer: 3, 81049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b + 101 - 381 = 34*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -624 - -890. Suppose o - 44 = -6*g. Let b = g + 62. Solve 6*m + b = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 14*t = -1196. Calculate the lowest common multiple of 52 and t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(216)\/(sqrt(6) - (sqrt(6) + -1*sqrt(24))))\/((3*sqrt(108)\/sqrt(3))\/(-4*sqrt(12))).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 8*a**2 - 3*a - 20. Let m(j) = j. Suppose -2*k - 3*k = 40. Let y be m(k). Let u be f(y). Solve 9 = -u*o + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -17*d + 1. Suppose 1752 - 1764 = 12*v. Give b(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1382*g**2 + 9*g - 2. Let o be k(-14). Round o to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2948625 + 2948632.000122. Let h = 7 - z. What is h rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fafffawwawfwaw. Give prob of picking 2 a.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in -1.9, 1\/4, -3840\/7?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 91248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2382327 and 435.\nAnswer: 345437415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 - (18 + 1 - 19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5 + 489*p**4 - 29766*p**3 + 796794*p**2 - 7650231*p - 8477283.\nAnswer: -3*(p - 41)**4*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 9:03 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucr when three letters picked without replacement from {u: 1, r: 1, c: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10*r**2 + 3*r - 3. Suppose 126*p + 346 + 130 = 7*p. Let g(y) = -10*y**2 - 2*y + 2. Determine p*n(b) - 6*g(b).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -153, -241, -329, -417, -505?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46064 and 1456?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(-706)\/353*45\/(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 1.386?\nAnswer: 2.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -1, -81702 in descending order.\nAnswer: -1, -30, -81702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0511483 to three decimal places.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**4\/6 - 2*y - 2. Let h(m) be the second derivative of m**4\/3 + 15*m. Give h(u(z)).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 5:45 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2 + 6480*k - 1506525 = 0. What is k?\nAnswer: 265, 1895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 5*d - 13. Suppose -5*o + 58*o + 0*o = 0. Determine p(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000608 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 c, and 2 e when four letters picked without replacement from {c: 5, x: 2, z: 1, e: 3, g: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.23 + -17.13. Which is the fourth smallest value? (a) w (b) -2\/5 (c) -2\/7 (d) -14 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1124*r + 113754. Determine d(-101).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292374 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**4\/4 + g**2 - 2*g + 3. Is v(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 6 - 18. Suppose 0 = 4*j - 0*j. Suppose -u + j*u = -i. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137692?\nAnswer: 2, 29, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.405 to two dps.\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.274, 1\/3, 3\/68, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (476*k**3 - 11323*k + 11323*k)*(3 + 0 - 1)*(-5 + 4 + 4) in the form i*k**3 + p*k**2 + u*k + r and give i.\nAnswer: 2856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2645.94147 rounded to 1 dp?\nAnswer: 2645.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -6*p - 4. Suppose -4*v - 14 = 2, 2*f + 3*v - 24 = 0. What is the lowest common multiple of f and 4 + p + 0 - -10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 6*o - 2*o + 3*o - 16 + o. Determine u(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((125120\/24)\/(-34))\/(388\/291)\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 71*c + 33 = -84*c, 9*r - 69 = 36*r - 4*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(55\/(-66)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 70 = -3*b + 13, 3*b - 3 = -m. Let t(a) = a**2 - 10*a - 20. Is 13 a factor of t(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*j - 630. Suppose 4*u - j = f, -4*u + 2*f = -0*f - 124. Suppose -3*x + u + 4 = 0. Solve 3*r = -2*b + 9, b - x = 6*b - 4*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3 = j + 4*j, 4*l + 2*j = l - 30 + 54 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + q**2 - q + 1. Let y(p) = p**2 + 12*p + 3. Let w be y(-12). Suppose -t = -w*t - 3*s, 4*t - s = 0. Determine f(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*y + 6. Let k be -7 - (-2 + -1) - 90\/(-21). Which is the closest to k? (a) -10 (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (34\/51)\/(43036\/(-4305) - -10). Calculate the highest common factor of 5125 and a.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35735, -35761, -35809, -35885, -35995, -36145?\n\"Answer: -d**3 - 5*d**2 - 4*d - 35725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173111479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 5*f. Let c be z(-6). Solve -b - 4*q = -7, -2*b - q + c*q + 1 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, y: 12, r: 3}. What is prob of sequence yar?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 622251 by -17.\nAnswer: -36603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*4*(14 + -13). Solve 5 - 1 = z*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -74. List the prime factors of 20\/h*87\/2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 13*a**2 + 17*a - 16. Let q(o) = -6*o - 26. Let d be q(-5). Suppose 10*x + 90 = d*x. List the prime factors of i(x).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/135 - (-11)\/(220\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + i**2 + 0*i - 2*i**2 + (-2*i**2 + 2*i**2 + 3*i**2)*(-3 - 2 + 2) + i**2 - i**2 + 8*i**2 to the form x*i**2 + q + s*i and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 + -77. Suppose -y = w*y + 3. List the prime factors of (((-360)\/14)\/2)\/(y\/7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 308.53288 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnqjnooownnzojo. Give prob of sequence wnoo.\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -154*x + 7931. Let z be s(51). Solve 4 = -9*q - z for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*z**3 + 286*z**3 - 2*z**3.\nAnswer: 444*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 24*k - 508. Let z(m) = 16*m - 339. Let r(s) = 5*g(s) - 8*z(s). Let q be r(20). Solve -5*w + q + 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 + 14.3. Let b = u + -16. Suppose 0 = -5*x - 0*x + 5. What is the second smallest value in x, b, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22100 and 5.\nAnswer: -110500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120239?\nAnswer: 7, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 489*((-29)\/(-3) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -404*c**4 + 4*c**3 + 1045*c. Let n(w) = 2*w**4 - w**3 - w. Let y(j) = 4*n(j) + o(j). What is the second derivative of y(p) wrt p?\nAnswer: -4752*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - 2. Let q = 47 + h. Suppose 0*o = -o + b + 124, -2*b = -q*o + 494. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6010 + 6010 + 153*n**2.\nAnswer: 153*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 299449169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 78\/5, 5, 4, -10\/39 in decreasing order.\nAnswer: 78\/5, 5, 4, -10\/39, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/6 and -42\/121 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (585\/247)\/5*(-12)\/(-9)?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34762, 34738, 34712, 34684, 34654?\nAnswer: 34622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132194 + 1166*h**4 - 132194 + (-2*h**2 - 5*h**2 + 5*h**2)*(-4*h - 2 + 2)*(-1 + 1 + h) to c*h**2 + f*h**4 + d*h**3 + u*h + w and give f.\nAnswer: 1174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010111000000010001 (base 2) in base 5?\nAnswer: -243032201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 1.05?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -29, -60, -103, -158, -225, -304?\n\"Answer: -6*h**2 - h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-10)*2\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1366571656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/24*(-11 + 5). Put -32, -3, -1, 4, w in decreasing order.\nAnswer: 4, w, -1, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15486.3 and -0.34?\nAnswer: 5265.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 251 (base 15) to base 2\nAnswer: 1000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 10) to base 16.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/4 and 27\/28365194.\nAnswer: 56730388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 33 - 2*l - 2*l**2 + 36 - 69. Let d = -3 + 9. Suppose 3*k = k + d. Let a(f) = -2*f**2 - 3*f. Determine k*i(x) - 2*a(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318216028 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19118 by -4.\nAnswer: 9559\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*sqrt(3) - -4*sqrt(432))**2*-3.\nAnswer: -24348 - 624*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -13*n**2 + 57*n + 21. Let y(h) = -3*h**2 + 14*h + 5. Let k(m) = 2*s(m) - 9*y(m). List the prime factors of k(13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4\/7 - 8562*b**3\/7 - 322810*b**2\/7 - 1451502*b\/7 - 1680228\/7 = 0?\nAnswer: -4243, -33, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/9 + (-2)\/(-9). Let t = 19 + -16. Let j = -16 + 29. Solve k = t*b - j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiuuiiiiiiiiuiiui. What is prob of picking 1 i and 3 u?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 3. Let k be 107\/w + 4\/14. Calculate the remainder when ((-6)\/k)\/(1\/45) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63919128 divided by -3108\nAnswer: -20566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/19)\/v**3 assuming v is positive.\nAnswer: v**(-53\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, o: 4}. Give prob of sequence ooo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i**(-1\/2)*i)\/i)\/i)\/i)\/i**(-4))\/(i\/i**(-5)*((i*(i**2\/i)\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 11:24 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -8. Is 10 a factor of ((-20)\/3)\/(h\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71168281*d**2 - d - 176460408.\nAnswer: 142336562*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkciqckqmqqqcqqq. What is prob of sequence cqix?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 - 3*g**3 + 0*g**3 - 9*g**3.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*t - 8. Put 6, t, -5 in increasing order.\nAnswer: -5, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 593467020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-132)*24)\/1\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 14*x**2 + 21*x**2 + 54*x.\nAnswer: 7*x**2 + 55*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 n when four letters picked without replacement from nnnmnnnnmnmmnnnm.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/5*(0 - -5). Is f\/2 - 15\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*c - 40, d + 21 = 4*d - 2*c. What is the units digit of d + 1 + 5 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 6 = v + 6, 0 = 5*v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4358953.8 minutes to days.\nAnswer: 3027.05125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**5 + 3*u**5 - u**5 + (1 + 24*u**2 + 32*u**2 - 59*u**3 + 57*u**3)*(-3*u - 3*u**2 + 3*u).\nAnswer: 4*u**5 - 168*u**4 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3377212137 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 19 = z - a, 4*z = a - 15. What is the tens digit of z + 52 + 1 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-44 + 3)*3) + 0. Suppose 523 = 5*n + r. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 42*z - 2. Let h be k(-44). Put 0, -5, h, 2, -3 in increasing order.\nAnswer: h, -5, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96538970 and 125500661.\nAnswer: 1255006610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 10. Let o = m - 37.2. Which is smaller: -10 or o?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/975 - 2\/13.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35232803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2217 + -0.1783. Is q at least 3696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 161997*h**3*r**3 - 27*r**3 + 2*r**2 + 146 wrt h.\nAnswer: 485991*h**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 6*(1 - 0). Let z(t) = 6*t + 32. Let v be z(-5). Let c = s - v. What is the smallest common multiple of 1 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2592823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -52, -90, -146, -226, -336, -482?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/(-12))\/((-1)\/(-2)). Let t be (9\/45)\/(k\/10). Are -2 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -24 - ((0 - -1) + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 186307794 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/12 + 0)\/3*-8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 6*r**2 - 44*r + 169. Is k(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10049.6 + -10050. What is the second biggest value in -4\/5, d, 2\/327?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.036 in 0.5, 3\/5, 1, 2\/13, -579, -8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3 = 3*y. Let o(z) = z. Let b be o(y). Let a(l) = l**3 + 2*l**2 + l + 3. Determine a(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccnn. Give prob of sequence ccnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.44 + 1.06. Let q = b + -29. Let p = q + -3.50000055. Round p to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103047.6l in millilitres?\nAnswer: 103047600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1575?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11705?\nAnswer: 5, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.832838nm to millimeters.\nAnswer: 0.000000832838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 3206 - 3286 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228370 and 1598590.\nAnswer: 1598590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 1:43 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/18)\/(11*3\/66).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -5, -17, -0.4 in descending order.\nAnswer: 2, -0.4, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 divided by 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -2*2) + -8. Let l be ((-26)\/h)\/((-1)\/(-6)). Suppose -12*k - 2*n = -10*k - 22, 3*n = 0. Solve 5*x + k = l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**4\/6 - 2*q**3 + 3*q**2. Let y be p(8). Suppose -l + 2 = -y. Calculate the highest common factor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*h*k**5 + 4*h*k**3 + 91*h*k**2 - 3*h*k wrt k?\nAnswer: -2640*h*k**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1462935 (base 14) to base 2.\nAnswer: -100101110101100010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54 and 0.04.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v + 0*v)*(-81817*v**2 + 2*v**3 + 81817*v**2 - 1263).\nAnswer: -4*v**4 + 2526*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/103 (b) -1\/4 (c) 0 (d) -97 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*l - 84 = 305*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**5\/60 - 7*o**4\/24 + o**3\/2 - 2*o**2. Let k be a(-7). Suppose -10*g = -7 - 13. Solve -k - g = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 7. Let y = m + 0. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 631369, 2525372, 5682047, 10101394, 15783413, 22728104, 30935467?\nAnswer: 40405502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 17*b**7\/42 - 13*b**3\/6 - 16*b. What is the second derivative of h(y) wrt y?\nAnswer: 340*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n*q**3*w - 9*n*q**2*w + 17*n*q**2 + 18*q**3 - 2*q**2*w - 2*q + 55*w wrt n?\nAnswer: -q**3*w - 9*q**2*w + 17*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2211*w**2 - 2499. Let r(t) = -737*t**2 - 835. Let n(z) = -2*d(z) + 7*r(z). Differentiate n(j) wrt j.\nAnswer: -1474*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (18 - 6) + 36 + -57 + -2 + 86.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 9*p + 32*p - 44 = -108, -2*j - 16 = 2*p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339935797.\nAnswer: 37, 151, 239831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 56\/6 - 3\/9. Suppose 4*r - 284 = -2*m - 0*m, -2*r + 146 = -m. What is the greatest common factor of o and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4592499, 4592662, 4592933, 4593312, 4593799, 4594394?\n\"Answer: 54*h**2 + h + 4592444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*(r\/(r*r**(7\/2)))\/r*r*r**7\/r assuming r is positive.\nAnswer: r**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 14*j**2 + 192*j - 151. Calculate x(10).\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 94, 3 in descending order.\nAnswer: 94, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-15 + -17 + 42)) + -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2321690 divided by -1190?\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1377) + 0))**2 + -4 - (sqrt(51) - sqrt(204)\/sqrt(4)*-4)\/(sqrt(6)\/(sqrt(4)\/sqrt(2))).\nAnswer: -5*sqrt(17) + 49568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 + 317524*c**3 - 12601416162*c**2 - 100826570960*c - 201663303200 = 0. What is c?\nAnswer: -4, 79385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20669760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -30304\nAnswer: -30304.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 95\/(-38) - (-75)\/36. Let h = 127\/132 + w. Solve -h - 4\/11*p + 10\/11*p**2 = 0 for p.\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45.7 + 1.3. Let c = 25 - p. Let r = c + 22.033. Round r to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 233 = 22. Suppose -336 = -g*t + 10*t. Calculate the remainder when t is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 + 43844952*j**2 + 120148694647680*j - 240297564675200 = 0. What is j?\nAnswer: -5480620, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 9*i**2 - i - 24. Let j be m(-8). Let t(b) = -42*b + 82*b - j*b. Let d(k) = 17*k. Give d(t(w)).\nAnswer: -136*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 114\/36 + (-1)\/6. Is 2 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1080, 4059, 9024, 15975, 24912, 35835, 48744?\n\"Answer: 993*z**2 + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*p**3 + 314752*p - 11528837.\nAnswer: 33*p**2 + 314752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-16)\/(s**28\/s))\/(((s*s*((s*s**(-14))\/s)\/s)\/s)\/s*s**(-15)) assuming s is positive.\nAnswer: s**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + -0.63. Let n = -0.9 - f. Put 2, n, -3\/2 in descending order.\nAnswer: 2, n, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:56 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 44, 78, 126, 188, 264?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**2\/2 - 9*b\/2 - 162 = 0. Calculate b.\nAnswer: -9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212722, 212746, 212806, 212920, 213106, 213382, 213766, 214276?\nAnswer: 214930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1766939, 3 in ascending order.\nAnswer: -1766939, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -31 + 10 + (-5 - (-11 - -8)) + 104.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 20) + 6 + 37 - (1 - -1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101222101 - 210222?\nAnswer: -1102210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.6720776 to one dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.122285 - 18.084. What is x rounded to 3 decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5\/12, -6\/5, 0.3, -2 in decreasing order.\nAnswer: 5\/12, 0.3, 0.2, -6\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 226 = -5*n - 7*o, 4*o - 228 = -5*n. Calculate the remainder when n is divided by (-3)\/(-4 - (-76)\/20).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -104107, -416436, -936985, -1665754, -2602743, -3747952?\n\"Answer: -104110*k**2 + k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5866941 divided by -3?\nAnswer: 1955647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - -2) + 0\/(-9). Let b = 9 - x. Suppose 0 = -2*j + b*y + 140, 0*j + 5*j + 2*y = 331. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from iimimmiimidimm?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -47. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*18\/6)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -3479?\nAnswer: -3479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and 25.\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 225*w + 94. Calculate o(-112).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**2\/2 - 1. Let c(u) = u**3 + 5*u**2 + 3*u - 4. Let r be c(-3). Let y(j) = -r*j + 11*j**2 - 6*j + 11*j. Determine a(y(i)).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(5*t - t - 3*t) - t - 3 + 3 - 2*t - t + t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 11*g + 8. Let n(t) = -5*t + 12. Let i be n(g). Let h(o) = 1 + 1 + i*o - 2*o - 5*o**2 - 2*o. What is h(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457314 = -4*q + 486078. Let g = 1005848 - q. Round g to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 0.066947334.\nAnswer: -14.066947334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 7*r - 4. Let i = 7 - 2. Let m be w(i). Let u(d) = -d**2 - 10 - 3 + 7*d + 4. What is u(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 3*k - 2*k + k**2. Let a(l) be the second derivative of 2*l**3 - 9*l. Calculate a(c(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/611 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -342940869, -685881734, -1028822599?\n\"Answer: -342940865*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-84))\/((-5)\/270)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710807623 is divided by 225.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 439643823*b**2 + 2*b - 763693608 with respect to b.\nAnswer: 879287646*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - -78. What is the nearest to 1 in 1, 2, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 9*s - 10*s. Let i = -15 - s. Let u be (-45)\/36 - 17\/i. Which is bigger: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279964?\nAnswer: 2, 69991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*z**4 + 12305*z**3 - 26*z + 201394055 wrt z?\nAnswer: -24*z**3 + 36915*z**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2691\/92 - 30)\/(2\/(-131816))?\nAnswer: 3, 16477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 995 - 991. Solve -3*z - x - 1 = 4*x, -4 = -p*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6 and 17515\/(-1938) - -4 - (118 - 123)?\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1599 and 54.09?\nAnswer: 1544.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/5*(-70)\/(-252)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 1.3. Let z = 61\/374 + -1\/22. Let w = -89.45 - -84.45. Sort z, w, h in descending order.\nAnswer: z, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 29 = l, 6*l - 13 = -5*n + 3*l. Suppose 0 = -v + 6*v - 20. Solve j - n*t = -v*t - 10, -j - 5*t = -20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from cccccccuccuucccccccc?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 2)*(-2 - 1 + 5) + 5 - 1 - 1 + 6 + 4 - 2)*(2*r + 31 - 4*r - 28).\nAnswer: -18*r + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 420705897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/378 and -58\/57.\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5813.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162 + 79. Let h = -66 - u. What is the second biggest value in -2\/3, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -14*l + 8 - 7 - 31 + 4. Calculate n(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 10. Let a(k) = 1. Give -5*a(u) - x(u).\nAnswer: u - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/10 (b) 0.9 (c) 0.14 (d) 4 (e) 0.13 (f) 2 (g) 0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -754052*x**2 + 137375*x wrt x?\nAnswer: -1508104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*l + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/21 - 4\/14. What is the first derivative of a*i + 2 - 4*i + 0*i - 2*i wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3280\/3? (a) 2\/99 (b) 1\/6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 480 by 10.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 641869699 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**4\/3 - 44*s**3 - 560*s**2 + 2246*s. Find n, given that x(n) = 0.\nAnswer: -4, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1426 and 2716323?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78*c*y + 8*c - 178*y + 8 wrt y.\nAnswer: -78*c - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrhhhrhrhrhh. Give prob of sequence rrr.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b**2. Let m(z) = 53*z. Determine x(m(l)).\nAnswer: -22472*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 149*c - 313*c - 327*c - 1 + 2*c + 1 + (c - 1 + 1)*(3 + 3 - 4) + 2*c + c - c.\nAnswer: -485*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by -2*5\/((-10)\/16) - 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 11:33 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 64*t = 433569. What are the prime factors of t?\nAnswer: 3, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 54 = 35*u. Let l(r) be the first derivative of 0*r - 2\/3*r**u + r**2 - 9. Factor l(t).\nAnswer: -2*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5\/3)*v*v\/(v*v**9\/v*v)*v*v**(3\/10)\/(v*v**(-3\/4)) assuming v is positive.\nAnswer: v**(-517\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.7 + 13. Sort j, 3, 4\/5, -3 in descending order.\nAnswer: 3, 4\/5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88011396 divided by 2\nAnswer: -44005698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7338*k**3 + 4911*k**3 - 4393*k**3 - 5876*k**3 - 1297*k**3.\nAnswer: -13993*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5))**(2\/5))**(-48) assuming a is positive.\nAnswer: a**(-192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 9. Let u be l(5). Suppose a = 3, 5*t = -3*a - u + 45. What is the derivative of 2*n**t + 1 + 1 + 11 - 3 wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 42 = -4*d, -2*d - 2*a + 28 = d. Suppose -3*q - 4*s = 16, 4*s = 2*s - d. Does -3 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 + 38961*d**2\/2 + 38960*d.\nAnswer: d*(d + 2)*(d + 77920)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4688, 5957, 7224, 8489, 9752, 11013?\n\"Answer: -o**2 + 1272*o + 3417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10252637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-5 - 2) + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q - 4. Suppose 4*v + 16 = -0*v, -d + 25 = -5*v. Let b be z(d). Solve 4*l + 4*o - 4 = 0, l + l = 5*o - b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25140062 to the power of 1\/2, to the nearest integer?\nAnswer: 5014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -38, -48, -42, -14?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) - (-675)\/20. Suppose m - q = 5. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32243 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = 2*d - 7*d. Let a be -5 + (-4 - -8) + -83. Which is bigger: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, -3, 2, 4, -0.390634, -3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 4 (c) 3 (d) -2\/9 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245263784.\nAnswer: 2, 1621, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37551 a multiple of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 77 = -35*t - 253 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + 66. Solve -4*r + 23 = 5*k, -2*k - x*r + 12 = r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 11:18 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in -3, -4\/9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/816 (b) -1.57 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, d: 1, i: 1, v: 2, h: 7}. Give prob of picking 1 d, 1 i, and 1 v.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1506\/(-18) - (-5)\/(-15). Let n = 88 + v. Solve n*a - 8 = -0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39115 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 62*d - 77*d. Sort 1, d, 3, 36 in increasing order.\nAnswer: d, 1, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -313*m**9\/126 + m**5\/60 - 43*m**4\/8 + 1095*m**2. Find the third derivative of c(g) wrt g.\nAnswer: -150240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 8*m - 10. Suppose 4*q + 4 = 0, -21*q + 16*q = 5*c - 20. Determine p(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2224 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 299?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -4)\/((-3)\/2). Let g(k) = 2*k**2 - 4*k**2 + 5*k**o - k**2. Let j(q) = 18*q**2. What is j(g(n))?\nAnswer: 72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1206 + -1205.072. What is h rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - 0\/(-4)) + 207. Let t = -188 + u. Calculate the least common multiple of t and 96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228132 is divided by 10863?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 3*s**2 + 3*s**2)*((3 - 1 - 1)*(-2 + 2 - 2*s**3) - 60*s**3 - 56*s**3 + 95*s**3).\nAnswer: -46*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6225 divided by -184\nAnswer: 6225\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2704 times -0.2012?\nAnswer: -544.0448","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 plus 8?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 + 7*t**3 + 2*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -24*x - 7*x + 18*x + 5*t, 14 = -3*x - t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-2)*(9 + 266\/(-28)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 159.34 * 5\nAnswer: 796.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:50 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 350058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*s**3 + 3768*s**2 + 10285*s - 3246.\nAnswer: -(s - 541)*(s + 3)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22+-0.1586749653\nAnswer: 21.8413250347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121 and 3223?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 10*y - 7. Determine d(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - -32?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -6)*(0 + -1)*-1. Suppose 2*w - 507 = p*s - 4*s, -w + 508 = s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - 294. Let j = 572 + g. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447*v - 23546 = 446*v + 3*n, 0 = 2*v - 2*n - 47076. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -27*v - 25. Let c be x(-3). What is the highest common divisor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3954659794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/256322 and -19\/1910.\nAnswer: 1281610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - t + 82 = -39, 122 = 3*k + 2*t. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 9 - 75. Suppose -2*f + 42 = -p. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32291854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2474 + 12423\/5. Let o = y + -361\/35. What is the third smallest value in 3, o, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**5\/60 + o**4\/4 - 3*o**3\/2 + o**2 - o. Let c(u) be the first derivative of w(u). What is the units digit of c(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1419 * 2993\nAnswer: 4247067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(500) + sqrt(500) + 4 + 4 - (1 + sqrt(405) + -4 + 5))**2.\nAnswer: 66*sqrt(5) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(190) - (sqrt(190) - 1*sqrt(190) - sqrt(190) - sqrt(190)))\/sqrt(10) + 4).\nAnswer: 24 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 34 = 3*s, 0*y = -5*y - 5*s + 60. Let n be (144\/20)\/6*y\/3. Solve 0*d - n = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/9)*a*a)\/((a\/((a*a**(-7\/5))\/a))\/a)*(a**3)**15 assuming a is positive.\nAnswer: a**(2032\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11*s + 5. Let i(x) = -1. Give 6*i(g) + q(g).\nAnswer: 11*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.151423 rounded to two dps?\nAnswer: -2.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + n. Let y(q) be the first derivative of 70*q**3\/3 - 28*q**2 + 10. Let w(i) = -56*d(i) - y(i). Let l(h) = -h**2. Give w(l(c)).\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 1:46 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**2 + 4*l + 2. Let m(z) = 4*z**2 - 3*z - 2. What is 4*m(k) + 3*t(k)?\nAnswer: k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1968 - 13779\/7. Let z = -2.09 + 2. Let y = z - -3.09. Which is the fourth biggest value? (a) 1 (b) y (c) p (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 5*x - 3. Let q be t(-6). Suppose -5*u + 34 = -3*u + 2*r, 5*u + q*r = 83. Is 16 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4606 a factor of 421232518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 263*v**3 + 60*v**2 + v + 1. Let h(l) = -788*l**3 - 182*l**2 - 4*l - 4. Let j(s) = -4*h(s) - 14*p(s). Find the third derivative of j(o) wrt o.\nAnswer: -3180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35147098 or 35147099?\nAnswer: 35147099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*v - 98 = 297, -5*v = 4*z - 307. What is the remainder when z is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 993 and 107575?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -408253416 + 2.9?\nAnswer: -408253413.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 19\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = -3*n + 2*s, -5*s = -5*n - 5. Suppose 5*q = -n + 10. Solve g - q - 2 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 2*q - 1. Suppose -6 = -3*w, 0 = 5*b + 2*w - 0*w + 106. Let p = b + 26. Suppose p*i - 3*f + 12 = 0, 3*f - 2 = 2*i + 4. Give t(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 2*n**2 + 2*n. Suppose 3 = -5*t - 17. Let h(o) = -11*o - 7 - o**3 - 5*o**3 + 7 + 11*o**2. What is t*h(f) - 22*k(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2. Let n(l) = -14*l**2 - 6*l + 7. Let q(c) = -n(c) - 2*r(c). Is 11 a factor of q(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 613788 divided by -14614\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 10 = -3*s + 28, 3*d + 3*s = -18. Let f(g) = -14 - 3*g - 5*g**2 + 27 - 18 - g**3 + 11*g. What is the remainder when f(d) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s - 7 + 7)*((0*s - 3*s + 2*s)*(-4*s - s + 0*s) - s - 2 + 2 - 2*s**2) to m*s + j*s**3 + q + u*s**2 and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26, -61, -96, -131, -166, -201?\n\"Answer: -35*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5837, 11662, 17485, 23306?\n\"Answer: -z**2 + 5828*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + 13 + -99 + 2?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625291959.\nAnswer: 3, 71, 211, 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117708 is divided by 38205?\nAnswer: 3093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:41 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 19 = 1. Suppose -3*w = -z + w - t, 3*z - 5*w = -5. Does 0.1 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c6 (base 15) to base 11.\nAnswer: 15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 938998*q**2 - 471979*q**2 - 472496*q**2.\nAnswer: -5477*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 14 + (0 - 2 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 193205002 to the power of 1\/3, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 4*y + 6. Let x = -214 + 209. Calculate the remainder when 25 is divided by s(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586 - 1171 + 112*p**3 + 4*p**3 + 585.\nAnswer: 116*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.243912 years?\nAnswer: 0.07243912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19113457963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1\/3, -796?\nAnswer: -796","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 1274*n**2 - 2148*n + 4400. What is the derivative of c(v) wrt v?\nAnswer: 2548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -41, -65, -91?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)\/(sqrt(16)\/(sqrt(10)\/sqrt(5))))\/((sqrt(288)\/(sqrt(9)*-1))\/sqrt(4)) + 2.\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16088716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000736375 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 9583 = 5*b - 10*b, b + 5*q = 1925. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.4, 15, 0, 4, 8.\nAnswer: 0, 2.4, 4, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29051\/2372 - 3\/1186. What is the common denominator of (-42)\/(-184)*22\/3 and g?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 216 = 3*a. Let s be 6\/(-16) - (-6)\/32*194. What is the highest common divisor of s and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1949 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3365852?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -8319 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1) + (-39)\/(-3). Let s be 1116\/10 + 4\/10. Calculate the greatest common factor of s and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 7 - -9 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1091388188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325, -327, -319, -295, -249, -175, -67, 81?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmaiamaamm. What is prob of picking 1 a and 1 i?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -26*r + 27. What is the remainder when 87 is divided by f(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:13 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3\/7 - 562*f**2\/7 - 28600*f\/7 = 0.\nAnswer: -44, 0, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, -2, 7736, 0 in increasing order.\nAnswer: -3, -2, 0, 8, 7736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*y**2 + 5*y**2 - 2*y**2)*(3 - 12 + 3) + 10*y**2 + 8 - 8 + 1)*(-31*y + 11*y**3 + 31*y).\nAnswer: 44*y**5 + 11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22204290 by -5.\nAnswer: 4440858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 6:32 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.057.\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4128 by 6.\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 380951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13336429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1110001011001 (base 2) to base 4\nAnswer: 1301121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d**2 + 2*d - 2. Let h be y(2). Let m = -9 + 8. Let g = m - -1. Which is greater: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnexxdeeddxexneenex. What is prob of sequence xxxd?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -694 - -1274. Suppose m = 4*y - j, -3*y - 2*m + 446 = -0*y. Calculate the remainder when y is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l**3 + 8*l**2 + 14*l - 3. Let m = 2 - -1. Let c(s) = 4*s**3 + 3*s**2 + 5*s - 1. Let r(u) = m*o(u) - 8*c(u). What is r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-24) - 2) + (-2)\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6678 - -0.3322. Let m = 72 - 71.8. Which is the nearest to k? (a) 2 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22649535+0.1\nAnswer: -22649534.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 - -2 - (0 + -4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/18 and -137\/12402.\nAnswer: 12402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**5 + 4*o**5 + 2*o**5)*(-5 + 3 + 1)*(-1 + 23 - 2).\nAnswer: -20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.2 + -13. Let z = 53 - 57. Which is the closest to -2? (a) d (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2 = 4*h - 18, -y - 3*h + 7 = 0. Let z(n) = -n**2 - n. Let m(f) = -4750*f**2 + 1 + 4747*f**2 + 2 - 2*f. Give y*z(o) - m(o).\nAnswer: -o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*t**3 + 99*t**3 + 86*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4828 and 12240.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -64150.341 to the nearest one thousand.\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*l + 2*k + 7, -3*l = -4*k + 22. Let j = l - -50. Solve 0 = 3*y - 9, 5*b + j = -0*b + 5*y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 20 = 2*o, 0*o = v + 4*o - 5. Let a(s) be the third derivative of s**4\/24 - s**3 - 565*s**2. What is a(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 295*h. Let t(k) = k. What is t(w(x))?\nAnswer: 295*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + (-18)\/(-27)*3. Suppose j - 2*w = 891, 3*j - i*w = -5*w + 2685. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 95371898*o - 2273949732030601.\nAnswer: -(o - 47685949)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55730 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 7.2. Let u = 3.4 - d. Let y = u - 2.3. Sort 1, y, -5 in increasing order.\nAnswer: -5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 3\/5, 2\/13, -4, -1, 1\/10, -14?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*q - 200*q = 306*q - 18936 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 303 * -0.6\nAnswer: -181.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1213, 3\/5, 0.5, -2, -312 in descending order.\nAnswer: 3\/5, 0.5, -2, -312, -1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 12:45 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + ((sqrt(7) + -4 + (sqrt(7) - sqrt(35)\/sqrt(5)))*-6 - (((1 + sqrt(175))**2 - sqrt(175)) + -1))).\nAnswer: 66*sqrt(7) + 924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j + 5. Let i(h) = h - 1. Let u(x) = 9*i(x) + 2*n(x). Let s(k) = 6*k + 3. Suppose 0 = -z - 0*z + 3*q + 8, -5*q + 15 = 4*z. Calculate z*u(a) - s(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30353, 30354, 30355, 30356?\nAnswer: 30357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001171198818 to 5 dps.\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -406691 times -2\nAnswer: 813382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 10*t + 5. Give f(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 621941957 and 833.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47, 43, 35, 23, 7?\n\"Answer: -2*k**2 + 2*k + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v**2 + 2*v + 2. Let q be t(-2). Suppose -p + q = p. Let u(g) = 9*g - 5. Calculate the remainder when u(4) is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -7. Let l = -10 - c. Let i(f) = 2*f**2 + f. What is the lowest common multiple of l and i(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -711 + 667 - (0 - -2)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -6*v**2 - 3611326*v + 1203776 = 0.\nAnswer: -601888, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*t**2 - 34*t**2 + 78*t**2.\nAnswer: 89*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600374.7 years to decades.\nAnswer: 60037.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 42 = 2*t, 10*t - 11*t + 29 = -j for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14758?\nAnswer: 2, 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7673, -10961, -14245, -17525, -20801, -24073, -27341?\n\"Answer: 2*f**2 - 3294*f - 4381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95539620 divided by -3.\nAnswer: 31846540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 3. Let m be s(3). Suppose -2*x = -2*c - 6, 5 = -8*c + 3*c. Suppose 2*b = 5*v + 12, 2*b = -x*b + 3*v - 4. Put m, -5, b in decreasing order.\nAnswer: m, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 265.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 3*t - 10*t**2 - 1 + 0 + 4*t**2 - 2*t.\nAnswer: -3*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*q + 64 = 0, -2*r + 2*q = -r - 5. Solve -2*z + r = 3*t, 3*z + 11 = 2*z + 2*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p\/p**(-11))\/p)*p*((p\/(p*p**(2\/55)\/p))\/p)\/p)\/(p**(2\/11)\/p**10))**(2\/11) assuming p is positive.\nAnswer: p**(86\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 divided by 635?\nAnswer: -251\/635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + n = 5*w + 12, -18 = 5*w - n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33669 - -120718. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -31*w**3 - 7*w**2 - 2721*w - 5423. Give l(-2).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -5. Let k be (0 - -2) + (-14)\/6. Which is the nearest to p? (a) -5 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33213321301 (base 4) to base 14\nAnswer: 7887cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2896*u + 2916*u = -180 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -55 + 17 - 6*r + 5*r + 39*r**2 - 38*r**2. Let h be p(-6). Solve -4*j = h*j - 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37286564398 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 707101 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.2. Let p = o - -0.9. Which is the nearest to -1\/2? (a) p (b) 0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 - 15 = 37*r - 30 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 55 - 3\/((-3)\/(-1)). Suppose -75 = -53*k + z*k. Suppose k*u - 18*u = -371. What is u rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 20 - 5*k - 20. Let v(q) = -q**2. What is v(b(w))?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 9) + 7 - 4 - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.047763042 to five decimal places.\nAnswer: -0.04776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:07 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-18)\/96 + (-501)\/(-8). Calculate the highest common divisor of 21 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 17*k**2 - k - 2. Let g(z) = 1465*z**3 - 85*z**2 - 7282*z - 10. Let u(a) = -5*f(a) + g(a). What is the second derivative of u(i) wrt i?\nAnswer: 8820*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, -27, -86, -177, -306, -479, -702?\n\"Answer: -d**3 - 7*d**2 - 5*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 34 - 3*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 558*j - 329*j - 298*j + 966 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -48. Suppose -15*j = -20*j + 15. Suppose 0 = j*l, -l = 2*p - 6*l - 34. What is the remainder when p is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/66)\/((-2)\/276). Suppose -m = -u - 0*u + 4*w, -w = -5. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(0 + 2 + 4)*((-5 + 3 + 4)*(-5 + 3*f + 5) - f + 4*f - f).\nAnswer: 96*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/11 + 8\/((-616)\/(-399)). Let f be 1*c\/(-10)*-4. What are the prime factors of (f\/(-2) + 4)*69?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*sqrt(475) - sqrt(475))*5 - sqrt(475)) + 0.\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 180825 = 17*s. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 + 10*c**3 + 6*c**2 - 34*c + 20 = 0. What is c?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-56) + (-51)\/(-408)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2295 - 11130 = -19*j. Let r = j + -456. Solve -n = 2*n + r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/16 and 8 + -3 + 2370\/(-336)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(2\/9)*p))\/(p*(p*p**(3\/2)*p*p*p*p)\/p))\/(p**(-13)\/p**(1\/2)))**(-6\/5) assuming p is positive.\nAnswer: p**(-104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -2, -9, -18, -29, -42, -57?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -825072 divided by -6\nAnswer: 137512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**4\/12 - l**3\/6 - l**2\/2 - 5*l. Let c(p) = p**3 - p**2 - 3*p - 6. Let s(w) = -c(w) + 3*d(w). Determine s(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**6\/30 - j**3\/2 - 5*j**2 + 4*j. Let r(c) be the first derivative of u(c). Differentiate r(t) wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 4*a**2 - 13*a - 47. Let k be s(-4). Let m be (2 - k)*(-104)\/(-14). Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + m - 1)*(2 - 4 + 1) - 6*m + 2 + 5*m + 3*m as q + a*m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Let c = 104 + -103. Let n = 17 + -22. Sort c, f, n in ascending order.\nAnswer: n, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 2\/13, 2\/225, -3, -20\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4549675*c**5 + 2224816*c**2 wrt c.\nAnswer: -272980500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.6 + -5. Sort u, 2, 2\/3 in increasing order.\nAnswer: u, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -479 - -482. Solve -5*l + 0*j = g*j + 40, 5*l + 5*j = -50 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**7\/945 - l**6\/36 + 13*l**5\/90 - 37*l**4\/108 + 4*l**3\/9 - 4*l**2 - 3. Factor h(n).\nAnswer: 2*(n - 12)*(n - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 114*p**2 + 2133*p + 84. Give d(90).\nAnswer: -2346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 2*o - 12, -4 = 4*z - o - 3*o. Let v = 0 - z. Let s = 34 - v. Calculate the remainder when s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 1. Let l be z(-1). Let c(x) be the first derivative of 4*x**2 + 5*x + x**l + 0 - 10 + x**2. Differentiate c(r) wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 3)*(-2*n - 2*n**2 + 2*n) + (1 + 18 - 1 + 5 - 2 - 2 + (-1 - 1 + 0)*(3 - 5 + 3) - 2 - 4 + 4 - 3 + 2 + 0)*(3*n**2 + 4*n**2 - 4*n**2).\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 7*f + 21. Let l be w(9). Suppose n + 5*z = z + 94, -l*n + 3*z = -357. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + -0.1. Let r = -0.7 + i. Which is bigger: r or -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 1:13 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4*s - 5*s - 1)*(-27*s**2 - 88*s + 88*s)*(-3 + 2 + 0) to the form c*s**2 + o*s + f + v*s**3 and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -426 - 437 - 2*f - 1541 + (2*f - 1 + 1)*(-5 + 3 + 4).\nAnswer: 2*f - 2404","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + i**2 + 2*i. Let t be x(2). Let h be t\/10*(-15)\/(-2). What is the units digit of ((-18)\/(-7))\/(h\/56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -31 + 11*f - 5*f + 30. Let x(l) = -8 - 5*l + 5 + 5. Determine -3*g(s) - 4*x(s).\nAnswer: 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*1*-1 + 407\/37. Let m(a) = 2*a + 6. Let l(o) = 5*o + 12. Let c(t) = 3*l(t) - 5*m(t). Is c(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2. Let f(k) be the third derivative of k**4 - 12*k**2. Give a(f(j)).\nAnswer: -1152*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((2*sqrt(637)*-2 - sqrt(637)) + 3 + 0 + sqrt(637) + sqrt(637))*5)**2.\nAnswer: -113400*sqrt(13) + 5167800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.548 - -4.41. Let j = s - -0.058. What is the nearest to j in 1\/3, 3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 8*u + 27. Suppose 4*s - s = u. Suppose z + 2*i + s*i - 10 = 0, 3*i = 3. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 - -152. Solve -2*g + n - 4 = 0, h*g - 3*n = -5 + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*y**5 + 4*y**3 + 928*y**2?\nAnswer: 1740*y**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - (-44 - (-5)\/(-5))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -13. Suppose 5*i = 9*i - h. Let q(n) = -1 + i*n**2 + 4*n**2 - 3*n - 4*n**2 + 4*n. Calculate q(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 122 = 71*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3318 - 10085\/3. Let x = o + 44. Which is the nearest to x? (a) 2 (b) 3\/8 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5467705324.\nAnswer: 2, 1366926331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 6*b**2 - 8*b - 8. Let s(g) = -4*g - 6. Let c be s(-2). Suppose -3 = -w - c*x, -w + 26 = -4*w + x. Give m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {x: 8, j: 1, z: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498660?\nAnswer: 2, 3, 5, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 6 - 18. Let u be 75\/30*s\/10. Solve -h = u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 14) in base 8?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 277671 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 + 1 - 2*h**2 to the form o*h + q*h**2 + c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(315\/6)\/15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 2*t - 1. Let w(h) = h**3 - 13*h**2 + 28*h. Let o(y) = 3*u(y) + w(y). Let q be o(5). Which is bigger: -22 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -648, -1451, -2524, -3837, -5360?\nAnswer: -7063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 31 = 6*v, -12*n + 7*n - 2*v - 17 = 0. Let c(z) = z**2 + z + 1. Let a(j) = 2 - 12*j**2 + 2*j - 6 - 6*j. Give n*a(f) - 4*c(f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -5\/3*u**3 + 0*u**2 + 0*u**4 - 9\/20*u**5 + 14*u + 0. What is the second derivative of z(h) wrt h?\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-30)\/4*(-85)\/102 and -17\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1)*(-5)\/(-5)*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/6788 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221878 is divided by 46?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - 31030?\nAnswer: -30443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-3))\/((-8)\/(-216)*-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 725599257 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**3 + b**2 + 6*b - 3*b - 4*b in the form g + m*b**2 + i*b + n*b**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d - 3. Let l be c(3). Suppose 3*r + m - 7 = -1, 3*r - l = -2*m. Suppose 0 = 3*j - r*a - 12, j - 5*a = 17. Solve -j*p = -6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.374, -7?\nAnswer: 0.374","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 18887*r + 132157. What is i(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0275 smaller than -1.71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uvuuvuu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 59 = q, 5*a + 19*q - 21*q - 149 = 0. What is the remainder when 89 is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.03 and -62129684755.\nAnswer: -62129684755.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (43 - 14) - -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1995 and 25948300?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 9640*b + 1297162.\nAnswer: -2*(b - 131)*(b + 4951)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 18*z**2 - 20*z + 9. Let m be o(19). Let d = 39 - m. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 252*c**4 - 1128*c**3 + 1233*c**2 + 30*c = 0.\nAnswer: -1\/42, 0, 2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227.365403 less than 0.4?\nAnswer: -1226.965403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*x - 10 = -4*r, -2*x - 4 = 3*r. Let m be (-9)\/(-3 + r) - 63. Is 2 + (m*4)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/7 + (-2250)\/(-630). Suppose 5*o - 1 = -3*z, 5*z = 4*o + 16 - 2. Let t(d) = 0 + d**2 - 3 - z*d**2 - d + 2*d**2. What is t(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 678003.359 + -678391. Let c = -0.641 - q. Let j = 387.0157 - c. What is j rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53100527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 plus 417.78035?\nAnswer: 478.78035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Let z = n + -2.999999. Round z to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*z - 192 - 1280 = 1025 + 55 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-57 - -70) + (-8 - (2 + 1))) - 59.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 - -98. Let s be (o\/(-5))\/((-2)\/(60\/(-9))). Solve -6 = -s*x + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -15.4, 0.011, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzffff. Give prob of picking 1 f and 1 z.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4) - (15\/(-6) - 0). Let o be 50\/(-20)*(i\/(-1) - 1). Solve 0*m - 2*m - 23 = -o*f, m - 5*f = -24 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*k + 18 = 0. Suppose -k*s + 34 = 2*c, 5*c = -5*s + 39 + 56. Differentiate -c*n + 1 - 4 + 0 with respect to n.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -1, -4, 2260, -5 in decreasing order.\nAnswer: 2260, 4, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/2))\/g**(-2\/5) assuming g is positive.\nAnswer: g**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 + 54. Let m = h + 69. Let w = m + 10.5. What is the biggest value in 0.1, w, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1936*n - 4518*n + 1423*n.\nAnswer: -1159*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*b - 3)*(-7 + 3 + 0)*(0*b - b - 5*b) + 2*b**2 - 2 + 2.\nAnswer: 50*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 65. Let z be (-1 + -2)\/((-12)\/88). Calculate the highest common divisor of x and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*(sqrt(1900) + -2*sqrt(1900))*5 + -5)**2.\nAnswer: 1187500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y + 17*y**2 - 3*y + 9*y + (-99 + 36 + 51)*(0*y + 0*y - 2*y**2) to the form i*y + b + v*y**2 and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 1:57 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 52 = -j. Let n = j - -26. Are n and 1\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxuuuuxxu. Give prob of sequence uxu.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4\/3 + 398*b**3\/3 + 304982*b**2 - 4582918*b\/3 + 3667576\/3 = 0.\nAnswer: -587, 1, 4, 781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 3. Let p be s(-5). Let k = -411 + 414. Suppose k*x - 5*x - m = -14, p*x = m + 6. Solve 0*w = x*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17196 + 55145. Is 137 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*p**2 + 67*p**3 - 129*p**3 + 55*p**3 - 18*p**2 to the form l*p**3 + c*p**2 + a*p + d and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {n: 1, k: 1, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 583 or -9697?\nAnswer: -9697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 - -22.2. Let y = 22 - h. Sort 4, 2, y.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-6)*t**(-2\/15))**21\/((t*t*t**(-1)*t*t*t)**(-17)*t*t*t**(-2\/15)*t**(-2\/5)) assuming t is positive.\nAnswer: t**(3161\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 102. Suppose -5*j + 12 = 4*t - j, 0 = 3*t + 5*j - 3. What is the highest common factor of t and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(8\/(-60)*-3). Let g = w - -24. Find the second derivative of 159*u**4 + 13*u**5 - 11*u - 159*u**g wrt u.\nAnswer: 260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 at least 223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1755675*x**2 - 447697125\/4*x**3 - 16 - 9180*x.\nAnswer: -(765*x + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -10*y**2 + 219*y + 1363. What is n(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161\/5 - -1459\/45. What is the biggest value in 114, 0.3, y?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*g + 80*g - 60 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140471545.\nAnswer: 5, 28094309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 494804, 989607, 1484410, 1979213, 2474016, 2968819?\n\"Answer: 494803*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*625\/1000?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16935226.\nAnswer: 2, 7, 11, 277, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v + 2*v - 36 - 2*v + 4*v. Let z(k) = -2*k**2. What is z(m(d))?\nAnswer: -8*d**2 - 288*d - 2592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105*i**4 + 11*i**3 + 7*i - 696453.\nAnswer: -420*i**3 + 33*i**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 v when three letters picked without replacement from uxvxdxvdx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**6\/60 - a**5\/30 + 2*a**3\/3 - 15*a**2. Let b be r(2). Let w(n) = -n**3 - 19*n**2 + 15*n - 7. Is w(b) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -34*b**2 - 1. Let q be g(1). Let d = q + -17. What is d rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, -4, 0.1, 2, 6\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7 (b) -0.17 (c) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/5 (b) -3\/7 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3550 is divided by 1587.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.52995467 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.02, 2\/9, -0.3, 4\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 3*m + 4. Is i(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Let l be 1*(0 - 1) - -3. Let g(n) = -2*n - 6 + 2 + l. Give g(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155 - 153. What is the greatest common factor of 22 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-19)\/a**8 assuming a is positive.\nAnswer: a**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/7 - 9*q**3\/7 - 173*q**2\/7 - 45*q - 152\/7.\nAnswer: (q - 19)*(q + 1)**2*(q + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 21*x + 7. Let t be u(0). Suppose -n + t*n = 4*n. Which is the second biggest value? (a) n (b) -4 (c) 0.1 (d) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19600, 20748, 21896?\n\"Answer: 1148*g + 18452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 217409 = -7*l + 303916. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + j + 3747 = -2497, -5*j = -2*z + 3140. Is 13 a factor of (z\/210)\/(4\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1) - ((-282)\/55 + 2). Let p = 23\/55 + b. Calculate the common denominator of 17\/11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 44942632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282509841?\nAnswer: 3, 19, 4956313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3170.61696 rounded to the nearest ten?\nAnswer: -3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 34, 44, 58, 76?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 6*z**2 - 6*z + 11. Let q be v(-7). Which is the nearest to 0? (a) 1 (b) -0.02 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-442680)\/(-168300) - (-16)\/(-6).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*r**2 + 25*r + 1453*r**3 - 321*r**4 - 1453*r**3 wrt r.\nAnswer: -7704*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(84))\/sqrt(7))\/(sqrt(12)\/(sqrt(12)\/sqrt(4)) + sqrt(4)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 139377 and 1449?\nAnswer: 9617013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -1\/4*h**4 + 85*h + 0 - 7*h**3 - 147\/2*h**2. Factor y(d).\nAnswer: -3*(d + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*((b*b**(1\/8)*b*b)\/b*b)\/b)\/b**3)\/(b*b**(-1)*b)**41)**(3\/2) assuming b is positive.\nAnswer: b**(-957\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 9:04 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(1\/2)\/n)\/n*n**(-3)\/n)**(-2\/85)\/((n\/(n**(1\/5)*n))\/(n**7*n)*n*n\/(n\/(n*n*n**(3\/2)))*n**7*n) assuming n is positive.\nAnswer: n**(-713\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 667 = 2*x - 639, -5*x = 3*o + 70 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 213?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*s - 14, 6*k + 2*s + 3*s - 13 = 0. Solve -4*u - k*i - 24 = 0, -4*i - 7 = -3*u - 0*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1174124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -711 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/4)\/h**3*(h**0)**(-33\/7) assuming h is positive.\nAnswer: h**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:41 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 414 + 411 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t**(-3\/2)\/t)\/t*t)\/t)**(-26))**(1\/10))**(1\/40))**(-21\/4) assuming t is positive.\nAnswer: t**(-1911\/1600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6482510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/28 + 300949\/44 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3864718 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -378\/17 not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ydyyyqyqyqyyyyyy.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 = 4*z + 8, 3*z = -3*x + 3. Suppose 0 = 3*i + 3*d - 12, -5*d = -7*i + 2*i + 10. Calculate the least common multiple of (x + 4)\/(1 - -1) and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5 - 34*t**4 + 174*t**3 - 182*t**2 - 392*t.\nAnswer: 2*t*(t - 7)**2*(t - 4)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + (-83 - -155) + 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40512 divided by -6.\nAnswer: 6752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 147788856883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -49*v**4\/24 + v**3\/6 - 7*v**2. Let f(w) = w. Calculate d(f(b)).\nAnswer: -49*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.02, -0.5, -5, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, t: 4}. Give prob of picking 2 t and 2 g.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 104553, 418225, 941013, 1672917, 2613937, 3764073?\n\"Answer: 104558*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116808790 by 2.\nAnswer: 58404395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*6\/(-4)*3. Let m be (1\/(-3))\/((-1)\/d). Find the third derivative of 3*g**4 + g**3 - g**m - g**2 wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 15*i + 25. Determine h(18).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14204 and 32?\nAnswer: 113632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -33, -2\/9, -5 in decreasing order.\nAnswer: 0.5, -2\/9, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 94\/20 + (6 - 171\/30) - (-250)\/(-70)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 119585, -2\/39, -23, -1 in decreasing order.\nAnswer: 119585, -2\/39, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 469, 584, 731, 916, 1145?\n\"Answer: o**3 + 10*o**2 + 78*o + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -646\/579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*t + 7*t + 400, -t = -1. Suppose 250 - u = 7*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -200249, -200250, -200251, -200252?\n\"Answer: -u - 200248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 9*v**2 - 2*v + 19. Let t(x) = x**2 + x + 1. Let a(q) = f(q) - 2*t(q). Let l be a(12). Let z = -110 + l. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p - 9 - 1 - 4 + 18. Suppose -2*x = 2*d - 18, -d + 5*d = -3*x + 32. Is 11 a factor of q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 9*i - 1. Let h(g) = 10*g + 0*g + 0*g**2 - 1 + g**2 - 2*g. Determine 6*h(r) - 5*l(r).\nAnswer: r**2 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 247272 (base 9) in base 2?\nAnswer: 100100100010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - 4*g + 214 - 213 + (-1 - 3 + 8)*(-3*g + 2*g - 5*g) - 3 + 5*g - 3*g + 2)*(0 + g**2 + 0).\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202032 - -10?\nAnswer: 1202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 - 7*g**2 - 14*g - 6. What is the least common multiple of m(-2) and 46?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1262756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*10\/(-275))\/(184\/115)*2?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*q + 126 = -161*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**2 + 8*v. Let g(d) = 0*d + d - 24*d**2 + 25*d**2. Determine -4*g(l) + q(l).\nAnswer: l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - c + (-c + 4*c - 2*c)*(1 + 3 - 2))*(3*c - 3*c + c + (5 + 0 - 6)*(0*c - 4*c + 3*c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 + (-2 - -16) + -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2301871\nAnswer: 3\/2301871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 d, and 1 x when three letters picked without replacement from {x: 1, d: 2, l: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2597 + 2250 + 21873)*(-1 + 1 + 2)*(-2*g + 2*g + g).\nAnswer: 43052*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 3*k**2 - 6*k - 545. Let j be m(0). What is the third smallest value in j, -4\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.43 + 0.03. Let l = 1686.4 - 1688. Put l, y, -5 in ascending order.\nAnswer: -5, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l + 3. Let r(d) = 4*d + 3. Let p(h) = 2*g(h) - 3*r(h). Let w be p(-9). Which is smaller: 13 or w?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10 = 5. Let r(z) = z**3 - z**2 + z. Let k be (4\/6)\/((-2)\/3). Let f(g) = -2*g**3 - 3*g + 1. Let b(j) = k*f(j) - 3*r(j). What is b(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6582 and 357004389?\nAnswer: 3291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 441*i**2 - 15*i + 4. Let d be o(4). What is d rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-26)\/(-10))\/1)\/(14\/(-70))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 3071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(130)\/(2*sqrt(10)) + 5)*3)**2 + 1 + (-3 + sqrt(13))**2 + -2*sqrt(13) + -2.\nAnswer: 37*sqrt(13) + 1101\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 5*t = -5*y - 59, -5*y + 5*t = -125. Let o(h) = -178 + y*h + 3*h**2 - 2*h**2 + 85. What is the least common multiple of 30 and o(-29)?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -15. Let s = 311 - 310. Let q be (5 + s)*v\/(-54). Solve 22 - q = 3*m - 4*k, 10 = -5*m - 2*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 24\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 60280090+-6\nAnswer: 60280084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 70271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722512 is divided by 139.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltlk when four letters picked without replacement from {k: 2, l: 3, g: 2, r: 1, t: 3, j: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 233 - 265. Let m be (-204)\/(-10) - h\/(-80). Solve 19*w = 23*w + m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4270*v = 8548*v - 4276*v - 74, -3*y = -5*v - 88 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2572000 rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + -2*sqrt(288))\/(sqrt(120)\/sqrt(5)) + 3*(-4*1*sqrt(3)*3 + -4))**2.\nAnswer: 948*sqrt(3) + 19299\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -64567, -129958, -195349, -260740, -326131?\n\"Answer: -65391*a + 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (-179 + 188)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 300 + 787 = -15*l - 701 for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 544887 and 544887 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 30 = 2*w, -3*w + 5*x = 9*x - 24. Calculate the greatest common factor of w and 1956.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2)*(1 + 2 - 1)*(0*u + 3*u - 6*u)*(5 + 0 - 3) in the form z + i*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {k: 10, p: 4}.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274478244?\nAnswer: 2, 13, 79, 310243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 1 + 4 - 4)*(-15*y**2 - 87*y**2 - 32*y**2) to the form b*y**3 + a + r*y + c*y**2 and give b.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 184 in 3\/7, 2\/7, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 7. Let k(g) = -g. Let u(c) = 3*k(c) - o(c). Let v be u(11). Let z be 106199996\/(-18) - v\/(-18). Round z to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1 >= -209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -56. Suppose -v*c + 136 = -12*c. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 17732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00577552118 to five dps.\nAnswer: -0.00578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 436\/4 - (-7 + 6). Calculate the highest common factor of o and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002945938 to 7 decimal places.\nAnswer: -0.0000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.013, 3, 1, -2\/9, -3 in decreasing order.\nAnswer: 3, 1, 0.013, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 49. What is v(9)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from {a: 2, s: 1, q: 1, t: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 2*x**2 + 3*x + 2. Let q be z(3). Suppose 3*k - 5*k + 1659 = 5*j, -q*k + 1328 = 4*j. List the prime factors of j.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 0.3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 433+-56462836288\nAnswer: -56462835855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 54*d + 135.\nAnswer: 3*(d + 3)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1. Let f(s) = -1. Let g(u) = -2*f(u) - 3*x(u). Let j = 16 + -15. Let h(l) = -1 - 6*l + 5*l - 1. Determine j*h(w) - 4*g(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -166\/187 - -12\/17. Let s = 5\/26 + 17\/182. Which is the biggest value? (a) d (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*v**2 + 57*v**2 + 59*v**2)*(-57 - 30 + 11 - 63 - 15).\nAnswer: -7700*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 19267188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 21*t + 268. Let l be z(-12). Let i(h) = -20*h - 5. Let j(v) = 60*v + 16. Determine l*i(s) + 5*j(s).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-21)*k\/(k\/(((k**9*k)\/k)\/k)) assuming k is positive.\nAnswer: k**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 142, 140, 136, 130?\n\"Answer: -h**2 + h + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53.5 - -25. Let p = i - 6.5. Which is the closest to 0? (a) 2 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a factor of 77002764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**5\/160 + g**4\/96 - g**3\/48 - g**2\/16 - 11*g. Factor y(k).\nAnswer: (k - 1)*(k + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/5*-15*1. Suppose -2*b = -5*b + c. Let t(p) be the third derivative of p**4\/24 - p**3 - p**2. What is t(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*f - 292 = 45*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 3 (c) 28 (d) -6\/5 (e) 19 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 506514 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 1 + 32*b**2 + 161*b**3 - 270*b**3 as i*b**2 + s*b + d + y*b**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/5, -5.4, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 - 24*l**2 - 23*l - 6. Let s be u(-11). What is the second derivative of 18*z + 5*z**5 + 5*z**s + 18*z wrt z?\nAnswer: 200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 - 25*f - 6. Let z be w(4). Suppose -17 = z*r - 29. Solve r*c + 12 = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.097.\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 374 and 0.03.\nAnswer: 11.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 6774768\nAnswer: -13549536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.06, -0.1, -77, 0.3, 0.2 in decreasing order.\nAnswer: 0.3, 0.2, 0.1, 0.06, -0.1, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4939 rounded to 2 dps?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1. Let s(q) be the second derivative of -q**3\/6 - 7*q**2\/2 + 14*q + 2. What is -s(f) - 3*t(f)?\nAnswer: f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 152907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5834227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 + -0.2. What is the nearest to -2\/9 in 2\/13, o, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11102 + 210?\nAnswer: -10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**2 - k**2 + 2*k**2 + (8*k - 10 + 10)*(k + k + 0*k))*(-k**2 + 3*k - 3*k) in the form p*k**3 + u*k**2 + o + i*k + r*k**4 and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/15, -0.09, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118.12t in milligrams?\nAnswer: 1118120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 685213961\nAnswer: 685213964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j**3 + 7*j**2 + 5*j - 3. Let a(w) = 13*w**3 - 13*w**2 - 10*w + 6. Let q(y) = 4*a(y) + 7*l(y). Let f = -5 - -9. Is q(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 6:15 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3161 + -1215\nAnswer: -4376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -31. Put -1, r, 0.5, -0.4 in descending order.\nAnswer: r, 0.5, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53386 is divided by 8212?\nAnswer: 4114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329868?\nAnswer: 2, 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 135*j - 15392. What is g(114)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - y - 115 = -0*j, 0 = -4*y + 8. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1824)\/(-1672))\/((-189)\/198).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*v - 6. Suppose -5*r + 44 = k - 3*k, 2*r - 26 = 5*k. Let w = r - v. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from upuut?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p - 2. Let r(s) = 15*s + 4. Let h(m) = 13*i(m) + 6*r(m). Let j be h(-6). Suppose 15 = j*q - 1. Solve 0 = -7*y + 3*y - b + 12, 0 = b + q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w**2 + 93*w - 92. Let j be s(6). Sort 2, -9, 1, 20, j in descending order.\nAnswer: 20, 2, 1, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92532 - 1*(-10 - 9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 2*o = 76, -4*o - 7 - 3 = 2*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 14177*o + 198470. Determine u(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -319*s**3\/3 + 10*s**2 + 10*s - 744. Find the second derivative of r(b) wrt b.\nAnswer: -638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/6*(-420)\/(-350).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34 + -b18?\nAnswer: -b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8709204 to the nearest integer?\nAnswer: 2951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66 + -16?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-22) + ((-105013)\/6270 - -14) and 9\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32684 + 97826 = 23*l - 2*l. List the prime factors of l.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-27) + (-16)\/(-6). Suppose -i*o = -6 - 0. Solve 8*w - o*w + 25 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let t be 5 + -4 + (-2 - -6). Suppose x = t*l - 1496 + 21. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070975876 to the power of 1\/4, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/301 and 211\/420.\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -31. Suppose 2*k - k = 4. Calculate the highest common factor of k and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*w - w**2 - w**2 - 5*w to m + h*w + l*w**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 258\/6 + -2*1. Let o = y + -21. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4 - 2. Suppose 0 = k + 3*m + 4, 5*k - o*m - 2*m - 18 = 0. Put -5, 12, k in descending order.\nAnswer: 12, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -7\/67, 3\/7, 7, -3\/4?\nAnswer: -7\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q - 9. Suppose -5*p - 24 = -p. What is the tens digit of k(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89536510?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/12 + 10*q**4\/3 + 10*q**3 + 14*q**2. What are the prime factors of t(-19)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394680.9 centimeters to kilometers.\nAnswer: 3.946809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51439, 102871, 154303?\n\"Answer: 51432*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14*1*48\/4. Suppose -3*x = -5*m - 290, 0 = 2*x - 0*m + 3*m - b. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 less than -88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r - 15. What are the prime factors of z(17)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 645752 and 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 3*l**2 - 4*l + 2. Let t be v(-4). Suppose -f - 790 = -t*z, -z + 2*f + 790 = z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 62416067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 327063 divided by -143.\nAnswer: -29733\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3280 (base 10) to base 7.\nAnswer: -12364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -24.8. Round k to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (10 - 8 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (22 + 6)) + (-8 - -5 - (0 + -10)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5604481 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947305467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-4 - (2 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d - 108 = 31*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -3208861?\nAnswer: -3208871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 34544630 (base 8) to base 2\nAnswer: 11100101100100110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 45601*p - 2648228. Determine n(-58).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*g**2 - 143*g**2 + 675*g - 88*g**2 + 42*g**2.\nAnswer: -271*g**2 + 675*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -84 - 964?\nAnswer: -a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 5*z + 5. Suppose 2*k + 10 = 0, 3*g + 0 = 2*k + 1. Let l be n(g). Let j = 40 + l. What is the greatest common factor of 84 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-7 - (-1 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 + 16*q - 4. Let z be f(9). What are the prime factors of (696\/z)\/(-2) + (-14)\/(-77)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkqqqqqqqqqkqq. Give prob of picking 2 q.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*x**3 + 3*x**2 + 150*x - 805 wrt x.\nAnswer: 27*x**2 + 6*x + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -16 + 8*v + 40 - 7*v + 8*v - v**2. Let u be z(8). Suppose 5 - u = -d. Are d and 29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -855 + 9?\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000038510991 to 7 decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 16. Let k be q(7). Let z = k - -38. Is 8 a factor of -2 + (z - -35)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -16*r**3 + 106*r**2 + 5*r - 105. Let f(v) = 3*v**3 - 21*v**2 - v + 21. Let l(w) = 11*f(w) + 2*g(w). Let z be l(19). Solve z*c = 3*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*15\/12 - 257040\/576. Are j and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7208889.03 from 24652.\nAnswer: -7184237.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(2 + 0 - 1)*(7*a + 20*a + 6*a)*(4*a + 132 - 132).\nAnswer: 264*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 + -12?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004775231 rounded to 7 decimal places?\nAnswer: 0.0000478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + 0 + (10 - 9) - (-1795 - -1771)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103303100 (base 4) in base 5?\nAnswer: 10043404","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*f - 29, -5*r = f + 2*f + 31. Let b be 10 + (-1)\/f*-10. List the prime factors of (6 - (-60)\/b) + 0\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 18*v - 45. Let t be c(14). Let o = 45 - t. Calculate the greatest common divisor of o and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 15 - 0. What is the third smallest value in h, -0.4, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 7.4. What is q rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -50*s + 10. List the prime factors of r(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 87. Suppose 3*o = -0*o - 3, d - 3*o - j = 0. Solve q = 5*g - d, -5*g + 15 = -3*q + 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/48 in -2\/11, 2\/11, 0.12, -0.4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -27269587 less than -27269587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/w**2*w*w)**49 assuming w is positive.\nAnswer: w**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 39*z + 72 - 379 - 950 + 30*z.\nAnswer: 3*z - 1257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17084 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2551*j - 209622 = 1727*j for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 3)\/(-2) - 5. Let m be (0 - -3)\/(o\/(-8)). Suppose -2*p = -m*p + 20. Calculate the lowest common multiple of 6 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/3 - (-2848)\/96 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13 + 4.87. Let v = -22.5 + 1.5. Let g = v - -21. Put g, i, 0.1 in ascending order.\nAnswer: g, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6441 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*j**2*p**3 - 2*j**2*p**2 - j**2*p + 1080*j - 255923*p**2 + 4294*p wrt p?\nAnswer: -96*j**2*p - 4*j**2 - 511846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/4)\/(f\/f**(1\/3)*f*f)*f**(-5)\/f**(6\/11) assuming f is positive.\nAnswer: f**(-1183\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20151914*k**3 + 90*k**2 + 153793 wrt k.\nAnswer: -120911484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 2*q**2 + 17*q - 13. Let r(m) = m**3 - 3*m**2 + 18*m - 14. Let d(n) = 6*l(n) - 7*r(n). Determine z so that d(z) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 96903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246771903 to the power of 1\/4, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*p - 0*p, 3*j + 2*p = 6991. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 198092567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/857 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, p: 4, n: 4}. What is prob of picking 2 n and 2 p?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 640 and 307360.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + f**2 - f - 4. Let h be l(-2). Let s(u) = 42*u**2 + 6*u + 5. Is s(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 28 = -5*q. Let m be (-2)\/(-4)*(q + 23). Solve 4*p + m = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246 and 24.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 14. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/2 + (-5 - -2). Let v(c) = 6*c**2 - 16*c + 11. Is v(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53*-0.0399\nAnswer: -2.1147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x + 6*x + 15*x.\nAnswer: 45*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.338 - 16.662. Sort x, -1\/4, -5 in descending order.\nAnswer: -1\/4, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/100 and -121\/20280.\nAnswer: 101400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/30*30\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 49.0000232. Round c to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 20 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 = -2*p, 2*p - 2*g - 10 = 2*g. Let q be -2 + 0 + p + -2. Let z be q\/(-12) - 11\/(-4). Solve -z - 1 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143.987 times -2\nAnswer: 287.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 39\/117*(1102 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, w: 4}. What is prob of picking 2 x and 2 w?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983 divided by -3?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1474.40058 rounded to the nearest ten?\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/3 - 113*w - 19028\/3 = 0 for w.\nAnswer: -268, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 5235960?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*x + 429334 = 12*x - 130*x + 405289 for x.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 2806056?\nAnswer: 2806056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1716.0759016889687 + 0.0759075339687. Let u = w - -1716. Round u to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419*f + 6039 = 428*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 2, 22\/5 in decreasing order.\nAnswer: 5, 22\/5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 - -2.01. Let s = j - 0.11. What is the second smallest value in 2\/5, s, -4\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 6 = b. What is the third derivative of -21*h**6 - 5*h**2 + h**2 + 24*h**b wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**8\/224 + v**7\/140 - v**6\/40 - v**5\/20 + v**4\/16 + v**3\/4 + 2*v**2. Factor q(f).\nAnswer: 3*(f - 1)**2*(f + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020672481.\nAnswer: 1020672481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-6))\/(n**4\/n))\/((n*n**(-3\/4))\/n**(-3\/8)) assuming n is positive.\nAnswer: n**(-69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 8\/2)\/(0 - -5). Let d be 100\/(-15)*-2*(-6)\/(-180). Which is bigger: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 20. Let t be d(-5). Let p be 10\/t - (-4 - -4). Factor 0*l + 3*l**3 + 0*l**p + 0 - 21\/2*l**4.\nAnswer: -3*l**3*(7*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2956762 + 815*l**3 - 2956762.\nAnswer: 815*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7452, -29687, -66744, -118623, -185324?\n\"Answer: -7411*f**2 - 2*f - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/23)*o*o\/(o\/(o\/o**(1\/9))*o)*(o**(1\/11)\/o)\/o*o**(-1\/3)*o assuming o is positive.\nAnswer: o**(-1003\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6))\/((-1)\/4). Suppose -h*r = -0*r. Is r smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10351 - -2?\nAnswer: 10353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (27339\/10515)\/(1*(-6)\/(-10))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/800442 and 103\/6318.\nAnswer: 10405746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 7:30 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 24. What is the greatest common divisor of 11 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 956 = 2*l - 8*w, -2*l = w - 948. List the prime factors of l.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 32. Suppose l = -x + 2*x - 7, -x - l - b = 0. Suppose x*u + 5*k = 60, -3*k - 14 - 34 = -3*u. Solve 3*n = -n + u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 930*q + 40663. Determine w(46).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:48 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhuhuuhuhhchccuhuuh. Give prob of sequence uch.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/2)\/((45\/(-5))\/18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 greater than or equal to -17.053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 7*o - 7)*(3*o - 10 + 10).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b5 (base 14) in base 15?\nAnswer: -34c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10210310 (base 4) to base 14.\nAnswer: 6b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39889 = o + 339439. Let k = 199550 + o. What is k rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/7)*x)\/x*x**(5\/4))\/(x**(1\/12)*x**(-4)*x) assuming x is positive.\nAnswer: x**(151\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 2 - (-18)\/19. Suppose -12*b + 24 = -108. Suppose -16*z - b = -43. Put z, 1\/6, m in increasing order.\nAnswer: m, 1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 43. Let u = -17 + v. Differentiate 3 - b**2 + u*b - 12*b wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -119 - 3?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33771 - -51692. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**6\/120 - n**5\/12 - 5*n**3\/6 - n**2\/2 - 7. Let y(q) be the second derivative of z(q). List the prime factors of y(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2687, -2684, -2681, -2678, -2675?\nAnswer: -2672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10, -39, -86, -151, -234, -335?\n\"Answer: -9*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) + (-151)\/(-2) + 1. List the prime factors of (k + -4)*2\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p + 6. Let i be o(2). Suppose -i*s - 14 - 6 = 0. Which is smaller: -9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 50, 44, 32, 14, -10?\n\"Answer: -3*y**2 + 3*y + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.0775 + 0.0525. Let x = q + -0.13. Let i = -3\/7 + 1\/7. Which is the closest to i? (a) x (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(2592)))**2 - (sqrt(96)*3)\/(-4*sqrt(6)\/sqrt(2)).\nAnswer: 3*sqrt(2) + 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1552322*l**2\/17 + 549744*l\/17 + 48672\/17.\nAnswer: 2*(881*l + 156)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -273.97324 - -113.\nAnswer: -160.97324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 12*x + 60. Let y be i(3). Calculate the greatest common divisor of y and 9015.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 228982380?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 433034 + -298013. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117466 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3580796 or -39388768\/11?\nAnswer: -3580796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 283.78779 + -283.40808318. Let t = 6.62029498 + q. Let l = -7 + t. What is l rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 13 = 1. Let g(w) = 2*w**2 - 8*w - 4. Let v be 8 - 5\/((-5)\/(-2)). Let m be g(v). Solve q*p + p - 4*a = -m, -5*a = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p - 1. Let v = -56 - -58. What is w(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y**4 - 132*y**3 + 153*y**2 + 217*y - 69. Let m(v) = -v**4 - v**3 - v**2 + v - 1. Let n(r) = k(r) + 3*m(r). Determine a so that n(a) = 0.\nAnswer: -1, 2\/7, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:12 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -a61?\nAnswer: -a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a factor of 168588480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2621*i + 1110*i = 59*i - 117504 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h + 3*j, 2*h - 4 = -3*j + 4. Let g(a) = 8*a**3 + a**2 - a + 1. Let z be g(h). Solve -3*s + 6*s + 21 = 4*u, z = 2*u - s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-56)\/(-21) + (-1)\/(-3). Let t(z) = 9*z**2 - 3. Let w(g) = -g**2 + 1. Let j(y) = u*w(y) - t(y). Differentiate j(a) with respect to a.\nAnswer: -28*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 20*b + 14. What is the tens digit of x(29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5174 = -3*u - v + 5151, -28 = -4*v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -15*a + 12*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 3:24 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (381*k + 400*k - 320*k)*(-k + 0*k + 2*k)*(-5 - 3 + 5)*(-4 + 4 - 1) to r + p*k**2 + h*k and give p.\nAnswer: 1383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 3\/14 (b) -0.5 (c) 10 (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v + 223*v**4 - 1 + v**3 - 109*v**4 - 115*v**4 to the form l*v**3 + u*v**4 + f + y*v + z*v**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0, -8\/9, 2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d931c (base 14) in base 7?\nAnswer: -12013535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5))**(-5)*(h\/(h*h**(-6)*h))**43 assuming h is positive.\nAnswer: h**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 1292.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177.\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162102*x + 162060*x + 1008 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 3*r**2 - 3*r. Let t(z) = z - 5. Let u be t(8). Let o be c(u). Let a = 13 + o. Solve 5*f + 0*p - 33 = 2*p, -a*f - 5*p = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10324 - 2673920\/259. Let o = k + 4447\/2849. What is the common denominator of o and (-3024)\/392 + (2 - -7)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 2\/5, 2\/55 in decreasing order.\nAnswer: 5, 1, 2\/5, 2\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 a factor of 7919845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3803784 is divided by 810.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (-4 - 2))*-1. Let y be (j + -3 + 0)\/1. Let g be (-15)\/((-4)\/4 - y). Calculate the greatest common divisor of 135 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**4\/7 + 305*m**3\/7 + 1245*m**2\/7 - 2745*m\/7 - 11124\/7 = 0.\nAnswer: -4, -3, 3, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -89*g. Let h(r) = -6*r - 18. Give j(h(p)).\nAnswer: 534*p + 1602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) 3\/2 (c) 0.02 (d) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, -0.055, -330, 0.2, 4 in increasing order.\nAnswer: -330, -0.055, 0.2, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -8. Let k(a) = a**2 + 10*a - 6. Let c be k(y). Suppose -4*w - 17 = -5*i - 104, -c*i = 4*w - 57. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.9203796 rounded to zero dps?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232028, -464278, -696528, -928778?\nAnswer: -1161028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 8. Let b be ((-3)\/2)\/((-1)\/w). Let a = 11 - b. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92 - 92 + 13*y + 527*y to s*y + g and give s.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l**2 - 5*l + 21. Let w be (-6 + 7)\/(1\/5). Let s(n) = -10*n**2 + 4*n - 20. Let c(j) = w*s(j) + 4*o(j). Find the first derivative of c(m) wrt m.\nAnswer: -28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + 3 + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281412 is divided by 122.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*o**3 - 2*o**2 - 43476*o - 1302592.\nAnswer: 9*o**2 - 4*o - 43476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 107186?\nAnswer: 964674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 31a1 (base 11) to base 8\nAnswer: 10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(2420\/30)*(-4)\/1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -24. Differentiate -l*i**2 - 5 + 12 - 11 wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23301 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2))\/k**6*(k**0*k*k)**(4\/3) assuming k is positive.\nAnswer: k**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/11)*u**(-2\/3)*u)\/(u**4\/(u*u\/(u\/u**(-5)))) assuming u is positive.\nAnswer: u**(-247\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3662640, -3662638, -3662636, -3662634, -3662632, -3662630?\nAnswer: -3662628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 703 + -6?\nAnswer: 6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 13*a**4\/12 - 35*a**3\/6 + 5*a**2 + 32*a. What are the prime factors of s(10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -55*q - 11. Let f(k) = -18*k - 4. Let i(u) = 17*f(u) - 6*n(u). Suppose 3*v - 2*a - 3*a - 16 = 0, -2*v = 2*a. Does 19 divide i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 6*c - 7. Let v = 86 + -84. Let h be m(v). What is the nearest to 0.1 in h, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 7:06 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - -1.97. Let s = 98.34 - -0.66. Let b = 98.7 - s. What is the nearest to -2 in -0.5, b, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1302\nAnswer: 260.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -35624 divided by 4\nAnswer: -8906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 4*d**3 + 5*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-21) - (-110 - (-95418)\/567)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*k - 29 = 0, -8*i - k = -4*i - 11. Suppose -5*o = t + 2*t - 25, 10 = -5*t + 2*o. Solve -3*h = 4*w - 5, t = -4*w - i*h + 1 + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p - 12 = 0. Suppose -5*h = 2*v - p*v - 6, 0 = 2*h + 5*v - 24. Factor d**4 - 2*d**h - 3*d**4 + 1 + 3*d**4.\nAnswer: (d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 3*o**2 - 1099*o + 539*o + 560*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7115 = 3*l. Let w = l - 9934\/7. Find the common denominator of 14 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*f - 1467*f - 203588 = 1526*f for f.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x*x**(1\/4))))**(-32))**(2\/23)\/(x**3*x**2*x**(-5)\/x**(-1\/6)) assuming x is positive.\nAnswer: x**(-887\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 6) to base 16.\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b - 41. Let a(l) = -4*l + 40. Let n(c) = -5*a(c) - 6*v(c). Let o be n(-20). Let h(u) = u + 2. Calculate h(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*b**3*i**2 - 2*b**3*i - 84*b*i - 2*i**2 wrt i.\nAnswer: -102*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m + 12. Let d(u) = 4*u + 31. Let q be d(-10). Let z(t) = t - 3. Calculate q*z(x) - 2*k(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.8 - 5.8. Put 3, -2, n in descending order.\nAnswer: 3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5560*f + 11114*f - 5557*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286.6*14.4.\nAnswer: -4127.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 5*q + 5\/2*q**2 - 1\/2*q**3 + 0. Let z(i) = -i + 2. Suppose -2*w + 4 + 6 = 0. What is w*z(n) - 2*m(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(171) + sqrt(171)))\/(sqrt(36)*-4).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 108115.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2950*z - 129796. Determine i(-44).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -207, -210, -215, -222?\n\"Answer: -d**2 - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1049402 - 5?\nAnswer: 10493b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.2. Let r = 219.4 - 219. Which is the closest to 6? (a) k (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -669796, 0, 15.\nAnswer: -669796, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = 52*d + 223*d. Let i = -9 + 9.5. Let t be (8\/42)\/(6\/(-9)). What is the fourth biggest value in i, t, d, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-3))\/((-8396502)\/(-524781) - 16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r. Let p(y) = -y. Let b(z) = c(z) + p(z). Let m(j) = -9*j. Determine b(m(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 12*q - 27. What is the units digit of t(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106765 rounded to 3 dps?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2703 (base 8) in base 2?\nAnswer: 10111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t + t)*(-1388*t**2 - 3499*t**2 - 3706*t**2 - 4325*t**2 - 631*t**2).\nAnswer: -40647*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291064 is divided by 18185?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 2*y**2 - 3*y - 4. Let h = -646 - -721. Suppose 3*l - 28*l = h. Determine s(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + (1 - -21) - (-1442 + 1445).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 12:47 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*q = 65, 4*q = 3*d - 4*d - 10. Find the common denominator of -3 + d\/36*-15 and -73\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -20*u**5 + 125*u**4 - 210*u**3 + 45*u**2 = 0.\nAnswer: 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132a65 (base 12) to base 7.\nAnswer: 2454215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 33*l**2 - 181*l - 109. Determine n(25).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by -28.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5\/3 - 3*c**4 - 2*c**3 - c**2\/3 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p + 1066 = -3*u + 31*p, 2*p - 26 = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -4, -2\/7, -87?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -0.5. Let s be 13 + (-70)\/7 + 5 + 176\/(-20). Let g = -0.2 + 0.4. Put s, g, j, -0.07 in descending order.\nAnswer: g, -0.07, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 223314?\nAnswer: 223315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -511504*u + 3069024. What is q(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20529230?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2\/13, -2, 65\/8927, 4 in descending order.\nAnswer: 4, 0.3, 2\/13, 65\/8927, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 1 - 208*t + 0*t**2 + 148\/3*t**3. Let n(r) = 2*r. What is d(n(g))?\nAnswer: 592*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)*(-3 - 0). Let r(d) = -6*d**2 + d - 5. Let f(z) be the second derivative of 4*z - 5\/12*z**4 - 2*z**2 + 0 + 1\/6*z**3. Calculate o*r(g) - 4*f(g).\nAnswer: 2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*w**3 - 58*w**3 + 33536*w - 33533*w.\nAnswer: 51*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12b + 2b5a00?\nAnswer: 2b58b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 73549*m + 5221981. What is p(-71)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g. Let w(i) = -41 + 77 - 19*i**2 - 37. Determine f(w(y)).\nAnswer: 38*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = -7. Solve -3*o = 3*y - t*o + 9, -2*o = -4*y - 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 68855526.\nAnswer: 137711052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 320 - 321. Sort 4, z, -3 in descending order.\nAnswer: 4, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1134, 1139, 1146, 1155, 1166, 1179, 1194?\n\"Answer: a**2 + 2*a + 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/2 + 171*n\/2 + 810.\nAnswer: 3*(n + 12)*(n + 45)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/8 of a day?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - n + 60. What is the units digit of n\/(-25) + 161\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2983 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 740 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/40 + 311\/280. Factor l*d + 0 + 18\/7*d**3 + 0*d**4 - 3\/7*d**5 - 24\/7*d**2.\nAnswer: -3*d*(d - 1)**3*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 - 3*b**2 + 2*b**2)*(12 - 12 + b)*(-6*b + 0*b + b) + 103*b**2 - 103*b**2 + 87*b**4 in the form a*b + d*b**2 + c*b**3 + r*b**4 + s and give r.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - g + 3. Let s = -7 - -7. Let c be a(s). Suppose -14 = -c*o - 2*b, -2*b = 3*o - 3*b - 20. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15, -5, 13, 45, 97?\n\"Answer: v**3 - 2*v**2 + 9*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (44\/(-8))\/((-1)\/(-2)). Which is smaller: -10 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 10:07 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28821923 + -1?\nAnswer: -28821924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -c - 2*d - 3, 2*d + 13 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 14*d - 42. Let a be f(-6). Solve -a*n - 20 = -10*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22338*g - 2 = 22339*g + 4*b, 5*g + 4*b = 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a**2. Let s(i) = -5*i + 8116 - 8116. Determine s(w(b)).\nAnswer: -55*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 16*c**2 + 29*c**3 - 7*c**2 + c**4 + 14*c**4.\nAnswer: 3*c**2*(c + 1)*(5*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -444 + 14*u**2 - 2*u**3 + 3*u**3 - 2*u + 436 as g*u + q*u**3 + v + n*u**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**7\/840 - k**4\/8 + 7*k**3\/6 + 5*k. Let d(u) be the second derivative of v(u). Differentiate d(n) wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -0.24. Let a = h + 3.4. Let x = 0.159968 - a. Round x to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3429690 and 770?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*j + 6 + 4, 5*s = -3*j. Suppose f + j*v = 28, -v = 5*f + v - 25. Solve -g - 6 = -f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + -13 + -4 + 7 + 22 + -20.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41211517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-90)*40\/(-64) + -26*2\/12.\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 7*p - 1086 = 0. List the prime factors of p.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a - 6. Let j be d(-4). Let o be -2 - (-1 - j) - -46. Let l = o - 31. What is the highest common divisor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 57. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1, 22338?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15486.599 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 5. Let t = -50 + 50. Suppose 3*l = -t*l - 15. Let v(i) = -3*i - 6. Suppose 2*o = -5*n - 13, 0 = o - 5*o - 3*n - 19. Determine l*p(j) + o*v(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -8 + (-42 + 17 - -2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5))\/(92\/(-230))*(-28)\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 5:29 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72675.46l to millilitres.\nAnswer: 72675460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -356 + 552 + 177 + s + 1327 in the form q*s + i and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -24*p**4 - 64*p**3 + 92*p**2 - 20*p + 20. Let v(s) = -73*s**4 - 194*s**3 + 276*s**2 - 61*s + 65. Let l(w) = 13*a(w) - 4*v(w). Factor l(f).\nAnswer: -4*f*(f - 1)*(f + 4)*(5*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -42 in descending order.\nAnswer: 5, 4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(1*sqrt(2)) - (sqrt(3) + -1 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*f. Sort -3\/8, 5, 2\/3, f in decreasing order.\nAnswer: 5, 2\/3, f, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 2. Let f be m(4). Let b be (15\/(-10))\/(f\/(-4)). Suppose 4*o - b*d - 21 = 0, 4*o = -3*d + 4 - 1. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/1248*(-40)\/(-9)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42382 + 8*a + 84752 - 42169 in the form p*a + s and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 44 = 47. Let u be (-25)\/p + 18\/(-42). Let j = -0.2 - 1.8. Sort j, u, -0.5.\nAnswer: j, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484, -962, -1440, -1918, -2396, -2874?\nAnswer: -3352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 13*b**2 + b + 2. Give p(-2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 bigger than -1001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 228. Suppose -10 = i - 6*i, 5*c - 2*i - h = 0. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/200? (a) 3\/2 (b) -4\/7 (c) 0.1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksfssykykfckffscfsy. Give prob of picking 1 k and 1 c.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 3*i + 5500 = 0. Let f = i - -554. Solve -f*n + 6 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 12) to base 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-14) - (4 + 2823\/(-21)). Let n = 139 - o. Suppose -9*m + n*m = -33. Calculate the smallest common multiple of m and 45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33406021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -2. Suppose 0 = 4*g + 20, -5*f + 31 = -f - r*g. Let j(o) = 2*o + 12. Let a be j(0). Calculate the greatest common divisor of f and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 i when four letters picked without replacement from {t: 5, i: 3, q: 4, j: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1823*c + 1824*c - 6*x + 27, 4*x - 29 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0) + (4 - -1). Suppose 0 = l*j - 3*j. Suppose -f = -19 + 16. Solve 4*t = u - 3, j = -f*t + u - 0*u - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13680 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: Solve -4*v = 4*f - 24, 17*v - 19*v - 6 = -f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3743.7, -8\/19, 2\/9, 0.2?\nAnswer: 3743.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 506149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vllvv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 8:15 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 27630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.42 - -0.02. Let q = 0.4 + y. Which is greater: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 447 + -262. Suppose -179*b = -l*b + 12. Solve 1 + b = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69000 by -6.\nAnswer: -11500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4325, -4419, -4513, -4607, -4701, -4795?\n\"Answer: -94*q - 4231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3)*k)**27\/(k*k*(k**(-3\/5)\/k)\/k*k\/((k*k**(-5\/6)\/k)\/k)))\/(k**(-7\/4)\/(k\/k**(-1\/14)))**(-3\/5) assuming k is positive.\nAnswer: k**(17251\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*y = -548, 1051 = 4*z - 5*y + 517. Solve 87*q = z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*n**2*r**2 - 5247*n**2*r - n*r**2 + 613*n + 15*r - 2 wrt n?\nAnswer: -24*r**2 - 10494*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4728989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*k**2 + 154*k - 120*k - 133*k - 34*k - 86*k + 4 in the form h + x*k + b*k**2 and give x.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -158, -2437, 1, -6 in decreasing order.\nAnswer: 1, -6, -158, -2437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(384) - sqrt(24))\/(sqrt(8) - ((sqrt(88) - (sqrt(88) + (sqrt(88) - -2*sqrt(88))))\/sqrt(11) + sqrt(8))) + 2)**2.\nAnswer: 92*sqrt(3)\/3 + 541\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 1394?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 930 and 6945?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3)*-1)**2 - (sqrt(243) + 0).\nAnswer: -9*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*u + 130*u + 122*u - 2*u**2 + 155*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58566687?\nAnswer: 3, 19522229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Suppose -c*q = -10 - 2. Let l = 9 + q. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 78\/21 + (-4)\/(-14). Let q be 4 + (2 - (8 - h)). Factor q*f**2 - 1\/2 + 3\/2*f.\nAnswer: (f + 1)*(4*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {m: 7, r: 2, z: 3, i: 1, x: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 2*d**2 + 3*d - 4. Let z be y(2). Solve -k + z*j = -10, k - 8 = j - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -37416914*q**2. Let w(x) = x. Give k(w(g)).\nAnswer: -37416914*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8159.67*0.05.\nAnswer: 407.9835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -18. Suppose x*z - 14 = 2*f, 3*f - 22 = -4*z + 7. Suppose -15 = -z*q - 5. What is the second biggest value in q, -2, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14343, -14307, -14257, -14199, -14139?\n\"Answer: -h**3 + 13*h**2 + 4*h - 14359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 9*r + 20 = 0. Suppose -m - 298 = -r*t + 229, 0 = 2*t - m - 209. What are the prime factors of t?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*j**2 - 236*j**3 - 293*j**2 + 385*j**3 wrt j?\nAnswer: 894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b - 4 + 12 - 8. Calculate o(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u. Let t = 36 - 17. Let j = -16 + t. Let s(o) = -2*o - j*o - 2*o + 5*o. Give g(s(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**2\/2 + 7740*z - 2610715\/2 = 0.\nAnswer: 179, 2917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 - 2 + 2)*(62*l - 120*l + 34*l) + 0*l**5 - 2*l**5 - 2*l**5.\nAnswer: -28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.045 + -0.545. Sort q, 19, -3.\nAnswer: -3, q, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 7.\nAnswer: 90\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 10 + 16. Let k = 6 + z. Let a be k\/7 + (-8)\/(-28). Solve -p = 1 + a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 98, 188, 280, 374?\n\"Answer: w**2 + 87*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*y + 536*y + 311*y + 920*y.\nAnswer: 1576*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -369 and -18.49 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - y - y - 11 = 0, 0 = -2*h - 3*y + 3. Which is the third biggest value? (a) -2 (b) 0.6 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n - 82. Let o be t(-12). Let f(q) = -q - 3*q - q**o - 2 + 2*q + 1 - 1. Determine f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipi when three letters picked without replacement from {i: 2, p: 1, j: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 + 11*u**2 + 8*u**2 - 13*u**2. Let a(l) = l. Determine a(o(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r = -194 + 32 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 12*f - 72 + 72.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 123550 minus -1.52?\nAnswer: 123551.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -3\/2, -1, -3, 0.1, -464?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -734, -1470, -2208, -2948?\n\"Answer: -o**2 - 733*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/546)\/(144\/2016).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -35. Let y = 26 - m. Solve -y*u = 2*r + 5, -2*r + 8 = 2*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 2, 34?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 1:34 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -2\/3*k**3 - 1\/105*k**7 + 1\/10*k**5 + 0*k + 0 - 1\/12*k**4 + 1\/60*k**6 - 112*k**2. Determine y, given that h(y) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -116*z + 1982. Calculate t(16).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1521 times 10?\nAnswer: -1.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2+-285956\nAnswer: -285954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 2*d = -25250. Suppose d = 4*b + b. What is b rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(6*b - 4*b - 4*b) + 10 - 10 + 5*b + 16 + 83*b - 16.\nAnswer: 92*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 110. Suppose 4*z - 8 - 56 = y. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p*p*p**(-2\/5)*p)\/p))\/p**(-2\/9))**(-1\/10))**(-26) assuming p is positive.\nAnswer: p**(-221\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 375*k**5 + 126006*k**4 - 506484*k**3 + 501864*k**2 + 8160*k = 0. What is k?\nAnswer: -340, -2\/125, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + (36 - -98 - -71).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -26*p + 376. Calculate b(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5 + 1. Let s be (5 + 2)*(-16)\/h. Let a(m) = m**3 + 47*m**2 + 435*m + 1411. Let y be a(-36). Calculate the greatest common divisor of s and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*n + 47*n - 5*n + 8945 - 4470 - 4475.\nAnswer: 98*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 483799 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 - -0.8. Let q = 290.6 + -292. Let j = y - q. Sort 2\/15, 0.2, -5, j.\nAnswer: -5, 2\/15, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 122223000 (base 4) to base 12\nAnswer: 53280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217054898 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 20. Let a(x) = -556*x + 13900. Let h(p) = -a(p) + 695*f(p). Calculate h(1).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -2) + (-20)\/5. Let t be (-32)\/80 - (k - 0). Let b = -0.6 + 0.3. What is the second smallest value in -3, b, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2 - 4*j - 99. Let z(o) = -4*o**2. What is i(z(k))?\nAnswer: 96*k**4 + 16*k**2 - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 373, 689, 1005?\n\"Answer: 316*f + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1396 + -1377. Solve 6*n + q*n = 100 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**6\/540 + v**5\/135 + 65*v**4\/108 + 50*v**3\/9 - 3*v**2 + 410*v. Let c(g) = 0. What is g?\nAnswer: -5, -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/189420 and -5\/9512?\nAnswer: 10986360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -16*u**2 - 5*u - 12. Let v(r) = -r**3 - 17*r**2 - 6*r - 14. What is 7*m(g) - 6*v(g)?\nAnswer: 6*g**3 - 10*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154634118.\nAnswer: 2, 3, 89, 289577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 - 0.4. Let j(w) = -w - 8. Suppose 17 = -4*y + 3*o - 7, -3*y + 3*o - 18 = 0. Let r be j(y). Which is greater: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p - 16. Suppose 0*y + p*f = y - 7, 0 = -4*y + f + 13. Let i = 4 + y. What is i rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(7*(-15)\/(-5572245)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -82*t**2 + 8*t. Let a(d) = 2*d. What is a(s(q))?\nAnswer: -164*q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**11*f\/(f\/f**4)*f\/(f*f**19)*f*f*f\/f**(8\/11) assuming f is positive.\nAnswer: f**(-19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. What is the common denominator of (-35)\/(-16) + 2\/1 and (-243)\/(-330) - b\/(-10)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1929 + -1933. What is the smallest value in -2\/3, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 (base 8) in base 15?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*w + 6 - 22, 0 = 5*c - 2*w + 8. Find the second derivative of 2*m**2 + 3*m + c*m - 4*m**2 + 3*m**2 wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 702.1451 millilitres to litres.\nAnswer: 0.7021451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(396) + 5 - sqrt(396) - sqrt(396).\nAnswer: -6*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m + 15, -m + 7 = n. Let w(u) = 7*u**2 - 3. Let c be w(-3). What is the highest common factor of n and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30935, 2, -4 in ascending order.\nAnswer: -30935, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10444 + -1010?\nAnswer: 4434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjjjkjkj. What is prob of sequence kjk?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7914 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 76382399150.5?\nAnswer: 76382399148.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 144?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*a = 463*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2700, -2698, -2694, -2688?\n\"Answer: c**2 - c - 2700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 + 9*v**2 - 16. Calculate w(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.94117 weeks?\nAnswer: 19566.9936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 332 - 324. Let d = -7 + s. Let l be (-5)\/5 - 2\/(-4). What is the closest to d in 0.5, 5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*y + 2, -7*l + y + 8 = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73 + 2?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*h = -229*h + 2342*h + 2246*h + 246784 for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -3*v**5\/4 - 25*v**4\/12 + 9*v - 5. Factor c(h).\nAnswer: -5*h**2*(3*h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -4 (c) -5 (d) -0.031 (e) 2\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 2545?\nAnswer: -2544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l**2 - 8*l - 9. Let u(w) = -13*w**2 - 16*w - 17. Let b(j) = 11*o(j) - 6*u(j). Let t = 2 - 10. List the prime factors of b(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1097 - -1088.09. Round a to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -564 + 1897. Let u = -1333.0609 + w. What is u rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -75\/2 (c) -3 (d) 12 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + 19. Suppose 5*c - 142 = -3*w, -c - 37 = 2*w - 141. Let n = l - w. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6, -t - 7 = -2*f - 4*t. Let d(s) = 2*s**2 + s + 2. Let c be d(f). Solve c*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*w\/(w*w\/w**10))))\/w)\/((w\/(w\/w**(-4\/5)))\/w))**(6\/11)*(w**(-6\/11)*w*w**(1\/8))**1 assuming w is positive.\nAnswer: w**(2847\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 4457.\nAnswer: -41\/4457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5563215 divided by 105?\nAnswer: -52983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + 1198\/15. Let j = 1908 + -3815\/2. What is the third biggest value in b, 6, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 27*g**2 + 10*g + 1064. Let a be h(-28). Let f be (1\/(-2))\/(1\/(-6)). Factor -3\/5*s + a*s**2 + 3\/5*s**f + 0.\nAnswer: 3*s*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.51331823 to three dps.\nAnswer: 6.513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**2*v)\/v*v**(-1\/8)*(v\/v**(3\/2))\/v**(-1\/2))\/((v*v*v*v**2*v)\/(v\/(v\/(v*v**10))))**15 assuming v is positive.\nAnswer: v**(623\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**4 - 3*a**4 + 866*a**3 - 878*a**3 + (2*a**4 - 5*a**2 + 5*a**2)*(-2 + 7 - 1) to t + j*a**3 + r*a**2 + o*a + l*a**4 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 655*k**2 - 7*k + 14. Determine s(1).\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15\/7, -6, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehzed. Give prob of picking 1 e and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1119 divide 7775246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 5*w**2 + 2*w + 4. Let f be z(3). Let k be 3\/4 + -1 + (-306)\/f. Suppose -y + k = -67. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*f - 3*f + 21 = 0, -l + 7 = 3*f. Let h(q) = q**2 - 5*q + 3. What is the remainder when h(l) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1114 (b) 2 (c) -74048\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1740 and -14096458622.\nAnswer: -14096460362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (435\/83520)\/(1\/12)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-120)\/(-32)*(-696)\/(-9). Calculate the highest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w. Let o(v) = 127*v**2. What is o(i(x))?\nAnswer: 1143*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -413187\/1574935 + 293\/1307. Find the common denominator of -26\/125 and h.\nAnswer: 30125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 112432 = -10308. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -2 + 1\/8*b**2 + b - 1\/24*b**3 - 1\/48*b**4 + 1\/80*b**5. Let u(i) be the first derivative of h(i). Solve u(g) = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.58 - 4.42. Which is smaller: -9 or x?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*v - 20, 4*v - 17 - 6 = 5*n. Suppose -v*f - 9 = -5*f. Let s = 4 - 1. Solve 0*c - s*c + f*m = -12, -3*c + 16 = m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(98) + 0)*2 + sqrt(98) + sqrt(98) + -1 + -4 + -5)*1)**2.\nAnswer: -560*sqrt(2) + 1668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2744, 2, 1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 142 (b) 85527 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u - 1. Let v = -7 - -5. Let n be p(v). Suppose 0 = 4*f + 2*b - 58, f + 2*b - 43 = -2*f. What is the highest common factor of f and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -3\/4, 4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okb when three letters picked without replacement from xxloobqblollkqblll?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 22*w + 19. Let o be l(-21). Let s be 33\/9 - (o + 6). Which is the nearest to 0.1? (a) 0.3 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26800 = -12*p + 4*p. Round p to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*x + 24. Suppose -2*a + 5*a = x. Differentiate 16 - m**3 + 46*m**3 - 14*m**a - 17*m**3 wrt m.\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/54207 and -43\/35625?\nAnswer: 33879375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 2\/9, -1, 0.0275 in descending order.\nAnswer: 2\/9, 0.0275, -0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -771842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**5\/5 + 5*y**4\/3 - 16*y**3\/3 + 8*y**2 + 41*y + 66. Let x(z) be the first derivative of r(z). Find w such that x(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r + 4. Let l(o) = 9*o + 11. Let p(v) = 4*l(v) - 11*q(v). Let f(n) = 2*n**2 + 3*n - 3*n. Determine p(f(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 31\/5, -0.2, 2\/3, -0.7, 1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*y + 5 - 26*y - 22*y)*(5 - 5 + 15*y**2)*(4*y - 3*y + 2*y).\nAnswer: 45*y**4 + 225*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27922 = -796*y + 444*y - 255*y for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/105*3)\/((-36)\/((-1368)\/(-722)))?\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 divided by 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/5 (b) 5 (c) -2\/7 (d) 13 (e) 3.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 7*h + 3*h - 6*h - 49*h - 6*h + (0 + 2 - 4)*(-h + 3*h - 3*h) + 3*h - 4*h - 2*h to p*h + t and give p.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51369?\nAnswer: 3, 17123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*g - 2*g**4 - 3*g**4 - 3*g**3 - 13*g - 2 + 29*g to w*g**2 + p + s*g**4 + b*g**3 + h*g and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*c**2 - 48 + 2*c**4 - 3*c**3 + 36*c**2 - 5*c**3 + 49 to the form p*c**2 + d*c**3 + y + b*c**4 + m*c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/77 or 46799?\nAnswer: -6\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9268, -17023, -23266, -27997, -31216, -32923?\nAnswer: -33118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*p - 1156 + 2062 + 2084 = 0 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86.47 + 86. Let c = -0.0825 + 0.5825. Let b = c + f. Is -1 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77380169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v**3 + v**2 + 7. Let r(m) = 13*m**3 + m**2 - m + 8. What is 4*b(z) - 3*r(z)?\nAnswer: z**3 + z**2 + 3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -234.221 + 0.221. Let a = 234.0000121 + b. What is a rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/3)\/(6\/9). Is 316\/10*5\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dio when three letters picked without replacement from {d: 3, u: 4, m: 4, i: 1, o: 1}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 - 2051*z**2 - 3081*z = 0. Calculate z.\nAnswer: -3\/2, 0, 1027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 58*a**2 + 25*a + 284. Does 158 divide q(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 20*i - 3. Let d be 3*(-4 - (-148)\/12). Suppose 0*o = -4*x - 3*o + d, 3*x + 3*o = 21. Let v be n(x). Calculate the highest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -2. Suppose 0 = x*n - r, 0*n + 5*n = 3*r. Solve n = -0*b - 4*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139635 is divided by 121.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 - (9 - 6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-3)\/3 - 0. Sort 2, -4, f in decreasing order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20305, 40447, 60461, 80347, 100105, 119735?\n\"Answer: -64*i**2 + 20334*i + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**4\/24 + 127*r**3\/12 + 125*r**2\/2 + 8448*r. What is y in q(y) = 0?\nAnswer: -125, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -15. Suppose -g*n = u, -9*u = -10*u + 4. Let t(b) = -b**3 - 2*b**2 + 1. Determine t(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*v = -40*v - 723. Solve 46 = v*b + 20*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119631 + 119580. Let x = 0.04 + 0.26. Sort 2, x, d in ascending order.\nAnswer: d, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 88 - 88 - 4*v. Let r(h) = -4*h**2. Give f(r(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 979099.2 seconds to nanoseconds.\nAnswer: 979099200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -512\/12703 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 2*x + 5. Calculate z(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251044, 502092, 753140?\nAnswer: 1004188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 34*q - 1122. Let v be a(33). Solve -6*y + 225 - 201 = v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/7 (b) -3 (c) -144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 4*q**3)*((7 - 3 - 3)*(2 + 5 - 1) - 1 + 5 - 2) to c*q + l + o*q**3 + b*q**2 and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:52 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p**(2\/15)\/p)\/p*p*p**(-6))**40*((p*p**(-1))\/p**9)**14 assuming p is positive.\nAnswer: p**(-962\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 28, -6 in ascending order.\nAnswer: -6, -5, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 6*n + 3*n)*(6*n**3 - 10*n**3 - 10*n**3) in the form d + l*n**4 + k*n**2 + c*n + m*n**3 and give l.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860.67506 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 6:25 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3160 divided by 790.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**3\/6 - 1577*p. Let x(f) = 84*f + 5. Determine x(d(g)).\nAnswer: -84*g + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 7:19 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 44*w**2 + 44*w - 8. Let p(h) = -15*h**2 - 15*h + 3. Let q(z) = -3*k(z) - 8*p(z). Determine l, given that q(l) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.4 - -298308\nAnswer: 298325.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2 + 1233*x**2 - 2 - 1230*x**2. Let w(d) = d + 5. What is w(k(v))?\nAnswer: 3*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.976\nAnswer: 0.2928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 11:34 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10239?\nAnswer: 3, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12510 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: Is 349513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6626, 13276, 19928, 26582?\n\"Answer: n**2 + 6647*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (286\/11)\/((-4)\/(-10)*(13 + -8)). Solve -n = -29*x - 129 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*h - 434 = 5*r, 3*r + 3 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-14))\/(5 - (-132)\/(-28))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1364044.9200003 - -1364045. Let y = -0.52 - -0.6. Let r = h - y. Round r to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13000 + 4?\nAnswer: -12441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/88 and 149\/2496.\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.83? (a) -2\/9 (b) -2 (c) 3\/2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1008 - 1000. Solve 111*q - 109*q + h = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 + 6 + -5 + -6 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3406819?\nAnswer: 13, 503, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 1122 + 3883. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*x - 8. Suppose -8*y = -x*y - 16. Find the first derivative of y*j**2 - 1 + 1 - 1 - 3*j**2 wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-16)\/12 + 1) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37185 and 3600?\nAnswer: 8924400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11800999 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: Calculate 306 - 283 - (-2 + -2) - 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, k: 1, o: 1, b: 1, w: 5, c: 3}. What is prob of picking 1 b and 1 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -444) + -15 + 19 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**5 - 16*k**4 + 112*k**3 - 128*k**2 = 0. What is k?\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97866676 and 6012.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p + 8. Suppose 3*z - 4*z = 0. Suppose z*v = -3*v - p. Is -2\/3 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f, -f + 6*f = 3*o - 12. Suppose 2*l + 804 = u, 776 + 26 = u - o*l. What is the common denominator of u\/(-72) - (-12)\/(-54) and -113\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 782 - 722. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-23)*z*z**17)\/((z**(-2\/17)\/z)\/z*(z\/(z*z**(9\/2)\/z))\/z) assuming z is positive.\nAnswer: z**(55\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*r = 3, -3*g + 3*r = 15 + 12. Let y be 1016\/5 + 44\/(-20) + 2. Let s = g + y. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, -5, -2, -25, 2 in decreasing order.\nAnswer: 11, 5, 2, -2, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-6)\/(-4))\/(8\/16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Suppose x = g - 4*g + 15. Suppose -g*t = r - 346, -4*r = -5*t + r + 340. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82092, -164234, -246424, -328662, -410948?\nAnswer: -493282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71.4600039488 - -71.46. What is x rounded to seven decimal places?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 278, 417, 556?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 2*m**2 - 2*m - 15. Give q(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(1\/1*2). Suppose -3*d + 11 - 26 = t. Let z be d\/2*(-36)\/6. Solve f - z = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 0*b**6 - 4*b - 1\/21*b**7 - 1\/3*b**3 + 1\/5*b**5 + 2 + 0*b**2 + 0*b**4. Let j(s) be the first derivative of v(s). Factor j(m).\nAnswer: -2*m*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 3*y + 18. Let k = 1 - 1.2. Which is the second biggest value? (a) 0.5 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(162) - (sqrt(8) + sqrt(2))*-4) + 1 + (sqrt(2) + -2 - sqrt(2))*-3.\nAnswer: 7 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5163.456 months in centuries?\nAnswer: 4.30288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2028*n + 471*n + 4 + 1423*n - 4 in the form g + a*n and give a.\nAnswer: 3922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031119 rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152711 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1007*b*m**2 + b*m + b + 2*m wrt m.\nAnswer: -2014*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 1:28 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 175*d - 6. Let b(q) = 6*q**3 - 529*q + 19. Give 6*b(o) + 19*u(o).\nAnswer: -2*o**3 + 151*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10404 - 11562.\nAnswer: -21966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgeg when four letters picked without replacement from {t: 2, g: 2, s: 1, e: 3, r: 2, j: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -10. Suppose -4*o + 3*y = -2*o + 35, -i*y = -o - 14. Which is greater: o or -20?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(24) + -2*sqrt(24))*1*-6)\/(-6*(sqrt(120) + -3*sqrt(120)*6)\/sqrt(10)).\nAnswer: sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 7*u**4\/8 - u**3\/3 - 7*u**2\/4 + u + 9. Suppose p(s) = 0. Calculate s.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-352)\/220*10\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3320 - -13313\/4. Calculate the common denominator of d and 113\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 0*o**3 - 2 - 6*o**2 - o**3 + 2*o**3 + 3*o. Calculate the remainder when 46 is divided by d(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 7, 0, 1 in ascending order.\nAnswer: 0, 1, 7, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.2 (b) 0 (c) -0.45 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1\/1 + 3. Suppose -3*t - 12 = -o*f, 0*t - 7 = 3*t - 2*f. Is 7 a factor of (-6)\/(18\/(-14) + t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/11 (b) -3\/5 (c) 0.1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 33*a**2 + 69*a - 33. What is p(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8480\/(-1696))\/((-4)\/44)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(1053) + sqrt(1053) + -2 - (-3*sqrt(78)*1)\/sqrt(6)*-2.\nAnswer: -2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43568.24 centuries to decades.\nAnswer: 435682.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 52*z + 3700. Is 12 a factor of x(111)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l + 4. Let o(r) = 15*r + 9. Suppose -3*i - 3*x = 2*i - 39, 3*i = 3*x + 9. Suppose 13 = -2*s - 13. Calculate i*o(q) + s*u(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - 1) + (-251 - -250) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) + (-16424)\/(-24). Let c = -477 + i. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123556 or 123946?\nAnswer: 123556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-6)*0 + 42 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 12*g**2 - 127*g + 1513. Determine l(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + 3. What is the greatest common divisor of l and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/80 - 151\/720. Which is the second smallest value? (a) -2 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-14217\nAnswer: 14217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 24*h - 61. Let v be k(21). What are the prime factors of 17\/(30\/20*v\/87)?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57921.58l?\nAnswer: 57921580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251 (base 7) to base 12.\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/44)\/((-2)\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189277139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 0 = -6*m + 38, 2*m = -6*d + m - 3 - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103246.7035 - 103330.1418006. Let r = -83.5083 - q. Let w = -0.07 - r. Round w to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**47\/(o**(-1))**28)\/((o\/(o*(o**(2\/3)*o)\/o))**(-1\/6)*(o**(2\/7))**(-2\/103)) assuming o is positive.\nAnswer: o**(-123976\/6489)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -17.4. Let g = k - -2.79. Let y = g + -0.18964. What is y rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 + 32\/(-12). Let h(i) = i**3 - 2*i**2 - i - 3. Let b be h(3). Put n, b, -5 in ascending order.\nAnswer: -5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 7:01 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12400 - 0?\nAnswer: 12400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Suppose 3*c - 5*y - 9 = 0, -5*y + j*y - 15 = -5*c. Solve -u + c = k, -4*u = 3*k - 8 - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14*c**2 + 494*c + 2031. Give l(39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2202553, -2202555, -2202547, -2202523, -2202477, -2202403?\nAnswer: -2202295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1573)*-2.\nAnswer: -22*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 288949, 578545, 868141, 1157737, 1447333, 1736929?\n\"Answer: 289596*d - 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9 - 5.8. Let z = -2.89999986 - r. Round z to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 203018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8551434271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 10:21 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 28 = 5*f, -6 = -2*f - 0*f + 4*y. Let q(n) = 7*n**2 + 8*n + 5. Let i(v) = -6*v**2 - 7*v - 5. Calculate f*q(d) + 6*i(d).\nAnswer: -d**2 - 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 - (-10 + -11 + 16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1698712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4717678 divided by -2.\nAnswer: -2358839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x = 442*x + 1360*x - 110683 + 34285 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -9 (c) 39 (d) 2\/11 (e) -225 (f) -52\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 19*y - 40. Let l be j(10). Calculate the greatest common factor of l and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -350708, -350701, -350690, -350675?\n\"Answer: 2*z**2 + z - 350711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + 5*w - 10. What is n(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -0.2, 39495, -0.07 in increasing order.\nAnswer: -0.2, -0.07, 0.09, 39495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3*m + 2*m**4 + m**4 - 2*m**4 - 2*m to the form x*m**2 + d*m + i*m**3 + l + y*m**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 16620, 1\/4, 1, 3, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 11*x + 158. Does 35 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10041.7044 rounded to the nearest 10?\nAnswer: -10040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -182 + 184. Suppose 0*a = 2*y + a + 4, 2*a = 0. Sort 4, x, y in increasing order.\nAnswer: y, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12. Suppose -3*c + c = 5*b - f, -b = -c + 1. Suppose -4*j = 3*y - 5, 3*j = -c - 2. What is the lowest common multiple of y and 17?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5540*k**2*x**3 - k**2*x**2 + 2*k**2*x - 2*k**2 - 4*k*x**3 + 84710*k wrt k.\nAnswer: 11080*x**3 - 2*x**2 + 4*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 13625\/10)*1\/(-95) + -14?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-2) + 0)\/(21651\/(-78356)) + -6. Let m be 2\/1 + 0\/(-2). Which is the nearest to -4\/9? (a) 0.6 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3751.584t?\nAnswer: 3751584000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*x + 27 = -5*a, 0 = -5*a - 15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7308.4 - -3.1.\nAnswer: 7311.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -660 + 660. Suppose 25 = 2*l + 3*l. Put l, 1, i in descending order.\nAnswer: l, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) -40 (c) 23 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**36*b**18)**(-44) assuming b is positive.\nAnswer: b**(-2376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -811863518*b**3 - 879995842*b?\nAnswer: -4871181108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*k**4 - 2*k**4 + 39*k**2 - k + 7*k**4 + 37*k**5 wrt k?\nAnswer: 2220*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 6\/87475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3 - 3 + 2869*j - 14*j**2 - 2866*j as v*j + l*j**2 + c and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*36\/(-30) + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1672 + 3767 - 2332 + 546)*(983*s**3 - 983*s**3 - 2*s**4 - 30) to w*s**3 + j*s**2 + z + g*s + u*s**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, y: 7, w: 5}. What is prob of picking 3 w and 1 h?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135323 is divided by 13054?\nAnswer: 4783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24158438 plus -0.2?\nAnswer: -24158438.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44793137 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iho when three letters picked without replacement from {o: 1, h: 4, f: 2, i: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 16. Let a(v) = 3*v + 2*v - 10 - 4*v. Let t be a(z). Is t at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4593*f + 6009*f - 1012*f.\nAnswer: 9590*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/5? (a) 0 (b) -0.09 (c) -0.0406 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.02845 years to centuries.\nAnswer: 0.9502845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.25407 or -2?\nAnswer: 0.25407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 363036857 + 0.383\nAnswer: 363036857.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 7) in base 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.8 or -3.3?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2812*g**3 + 28*g**2 + g - g.\nAnswer: -2812*g**3 + 28*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 373*l - 4990. What is the smallest common multiple of t(14) and 1160?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (3 - 1) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10)\/l**(-2\/79) assuming l is positive.\nAnswer: l**(-788\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - ((-25)\/8 - (-3)\/(6 - -18)). Let t = -83 - -1247\/15. Sort t, p, -1\/3, 2.\nAnswer: -1\/3, t, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 12:31 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8975 divided by 5?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154241 and 170323?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v + 4. Let f be j(-3). Suppose 395 = -f*k + 27*k. List the prime factors of k.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 6. Let i be l(5). Let q be ((4 - 7) + -1)\/(-1). Solve -q*b = -2*v - v + 6, -i*b - 10 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 7*q + 0*q)*(2*q**2 - 1 - 3*q**2 + 2).\nAnswer: 11*q**3 - 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 184, 1282, 4254, 10036, 19564?\n\"Answer: 156*f**3 + f**2 + 3*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/22*-2)\/((-9)\/18)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 12:13 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -316.58 + -67.42. Are 1\/7 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011211221212 (base 3) in base 8?\nAnswer: -2310335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 4:25 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 11. Let j = -11.4 - n. Let b = -23 - j. Round b to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9\/2551 + 401317\/229590. Find the common denominator of o and 111\/1360.\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 94.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*v + 232*v = -233. Let x = v - -240. Let b(y) = -y**3 + 6*y**2 + 7*y + 8. Give b(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -452*f**5\/3 - 1126*f**4\/9 + 3920*f**3\/9 + 2030*f**2\/3 + 2696*f\/9 + 296\/9 = 0. Calculate f.\nAnswer: -1, -2\/3, -37\/226, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 297416*h**2 - 514*h - 316 wrt h.\nAnswer: 594832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6386774 divided by 4978?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6852, -13681, -20510, -27339?\nAnswer: -34168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -132*c**2 - 48115 - 2*c + 48115. Let o(v) = -v**2. Calculate z(o(i)).\nAnswer: -132*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7*((-693)\/(-1089))\/((-64)\/88). Suppose -67\/4*k**3 - 54*k - 13\/4*k**4 - 27 - 171\/4*k**2 - d*k**5 = 0. Calculate k.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 2*z + 1. Let k be 2\/(-1) - -5 - 5. What is r(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717812?\nAnswer: 2, 179453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*h + 305, -4*i = 2*h - 3*h - 398. Calculate the least common multiple of i and (-1 + 19)*(231\/(-9))\/(-7).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*d + 24, 69*k - 3*d = 68*k - 2. Let n(u) = -3*u**3 - 4*u**2 - 2*u - 8. Let f be n(-2). Solve -k = f*j + 4*i, -8*j - 2*i = -3*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 10*w**2 + 12*w + 8. Let z be u(-11). Which is the closest to 0? (a) -3\/7 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - 1 + 1 + 39 - 39 + 15*h**2 + (-3 + 5 - 4)*(0*h**2 + h**2 - 2*h**2) - h + h - h**2.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -57\/140, 2, -4?\nAnswer: -57\/140","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0603826 millilitres to litres.\nAnswer: 0.0000603826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(112\/(-7)) - (-8)\/((-80)\/(-25))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296297779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -254*s + 2907. Calculate f(11).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.55 and 1615.36?\nAnswer: 888.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4 + 19 = 0. Find the third derivative of 3*f**3 + 3*f**4 + 3*f**2 - 3*f**r wrt f.\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**2 + 408964672*p + 10453256434004224 = 0.\nAnswer: -51120584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g - 5*n + 22, 0 = 5*g + n - 14. What is the remainder when 35 is divided by -1 - (-2)\/(g\/19)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*b + 2*b = 14, -3*t = 2*b - 20. Let d(y) = 9*y**2 + 11*y - y**3 + 0*y**2 - 2*y**2 - 8. Is d(t) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 7*i + 27. Let k be m(10). Let d be 30\/8 - (12\/16)\/k. Let g be (-135)\/(-5) - (d - 0). Solve 4*v = -3*f + g, -2*f - f = 5*v - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520636556 to the power of 1\/3, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -56*h**3 + 641*h**2 - 483*h - 159. Determine r(1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-14)*2\/5. Suppose 4*w + 12 = 0, -f - 1 = -0*f + 2*w. What is l in 2\/7*l - 2\/7 - r*l**4 + 2\/7*l**f + 4\/7*l**2 - 4\/7*l**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -88113640870 and 0.4.\nAnswer: -88113640869.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**4\/4 - 16*t**3\/3 + 15*t**2\/2 + 15*t - 5. Is 5 a factor of z(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 - 26*m\/3 - 1540\/3.\nAnswer: 2*(m - 35)*(m + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 14*z**2 - 45*z**2 - 53 - 52 + 3*z.\nAnswer: -31*z**2 + 3*z - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -22, -3, -37152 in decreasing order.\nAnswer: 1, -3, -22, -37152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2941 * -585.\nAnswer: -1720485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*70317.\nAnswer: -14063.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10611 divided by -11?\nAnswer: -10611\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -15*l**5 + 62645*l**4 - 65354285*l**3 - 109432205*l**2 + 348863000*l + 261835260 = 0.\nAnswer: -3, -2\/3, 2, 2089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0 + 0)*(-1 - 4*c**2 + 1) + (0 + 1 - 2)*(-3*c**3 + 5*c**3 - 3*c**3) + (0 - 3 + 5)*(-2*c**3 + 2*c**3 - 3*c**3).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*-1*(3 + sqrt(22)\/sqrt(2)).\nAnswer: 8 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4735081 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 11:20 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/14 in 0.4, -23, 0.0533?\nAnswer: 0.0533","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5131 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 101*n**3 + 116*n**3 - 247*n**3.\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6982 - 53*o + 11*o - 6982.\nAnswer: -42*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11.6, -1, 4, -0.1, -3\/7, -19?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.688 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**5\/5 - 12*p**3\/5 - 6*p**2\/5 + 9*p\/5 + 6\/5 = 0. Calculate p.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = 0. Let i be ((-5)\/3)\/((-1)\/3). Suppose -1 = n + 3*u, 30 = 3*n - 5*u + i. Sort k, -2, n in increasing order.\nAnswer: -2, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and -16.81.\nAnswer: -621.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -19*l**2. Let j(w) = -21489*w**2. What is j(t(x))?\nAnswer: -7757529*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 188913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16640 by 13.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2210\/9 + -2216\/9. Let z = 4.06 + -4. Which is bigger: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -9, 0.5, 1, -86, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 5*t + 46. Give g(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*m - 3. Differentiate -2 - 3*l**3 - 2*l**m + 4 - l**3 wrt l.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -206 - -212. Calculate the lowest common multiple of 116 and p.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 + -115. Let h be (-4)\/(-8)*u\/(-99). Put 2\/7, 1\/5, h in increasing order.\nAnswer: h, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4\/5 + 2874*u**3\/5 - 499437*u**2\/5 - 1010394*u\/5 = 0. What is u?\nAnswer: -2, 0, 231, 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 - 4*y**2 - 7*y - 3. What are the prime factors of n(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25883 is divided by 3569?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -7. Let c = -6 + l. Calculate the least common multiple of 3 and ((-54)\/(-12))\/(c\/2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1256 - 890. Let m = y + -226. Does 35 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c + d - 103, 0 = -c + 16*d - 19*d + 10 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -4873 (c) -4 (d) -0.1 (e) -2\/3 (f) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2388*s = -11017 + 87433 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*g - 21*g - 3*g**3 - 12*g**2 + 50*g.\nAnswer: -3*g*(g - 2)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2. Let q(s) = 336123*s. Give c(q(z)).\nAnswer: -225957342258*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28873\/23 + 1255. What is the common denominator of h and -38\/7?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-1 - 0 - (-31 - -26 - -3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -29*g**2 - 17 + g - g**3 - 2*g + 0*g**3 + 8*g**2. Let c be y(-21). Suppose -8*h + c*h = -108. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186955349 + 0.2\nAnswer: -186955348.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 7*a**2 - 7*a - 3. Suppose -69 + 245 = 22*r. What is u(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2553707, 2553705, 2553703, 2553701?\n\"Answer: -2*y + 2553709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*t**2 + 51697*t**3 - 51856*t**3 + 3*t**2 - 3171 wrt t?\nAnswer: -477*t**2 + 22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-5))\/((-6)\/(-330)) + 3. Suppose -l + p - 222 + o = 0, 0 = 2*l - 3*p + 375. Let y = -96 - l. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1305 - 1305.569. Let u = g + 0.069. Let o = 0.11 + 0.01. Which is the third smallest value? (a) o (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26181785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2462 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqtkqkicqkqiqqt. Give prob of sequence ct.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6 = 3*m, -4*z = 5*m + 1 - 2. Let p = -55\/3 - -623\/33. What is the biggest value in z, p, -5\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a + 2*x = 106, -4*x - 40 = -3*a - 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 5*c - 2. Let x be j(-4). Suppose -x*w + 5*w = 0. Suppose 5*a - 666 = -4*n, 4*a - 3*n = -w*n + 539. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64 - -31) + (-79)\/((-395)\/100)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 10:00 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3. Let a be n(1). Suppose 5*r + 4*l - 249 = 310, 476 = a*r - 4*l. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -0.1687202571\nAnswer: -0.1687202571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200 + 34*h**2 + 23*h + 200 wrt h?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -29)*4\/(-6). Suppose 4*g + g = p. Suppose g*d + 37 = -3*v + 115, v + d = 25. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 4*t**2 - 14*t - 5. Let c be m(-6). Solve 0 = -5*r - c*l + 6*l + 10, 2*r - 5*l = 31 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z - 103. Let f be c(-11). Put 1, 5, f in increasing order.\nAnswer: 1, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 87 and 600\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/9*(-12)\/(-4). Suppose 3*b - 9 = -3. Find the third derivative of 0*m**6 + m**y + 6*m**6 - m**4 - 2*m**b wrt m.\nAnswer: 720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 101588763169983.\nAnswer: 101588763169983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 6. Let b be d(5). Suppose -2*h + 3*w = -17, -b*h + w = -2*h - 19. Let m = h + -7. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -430.7276*-0.6.\nAnswer: 258.43656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-7))\/(8\/(-56)). Are -12\/5 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4*r - 2, 0 = 4*r + 16*k - 15*k + 43 - 36 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (163\/((-100408)\/(-3003)))\/(6\/4)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4655.5698423 and -0.27?\nAnswer: 4655.8398423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 14 = y, -2*k + 0*y + 3*y - 12 = 0. Let r = 4 + k. Suppose -5*c + 25 = 0, -5*c = -2*t - r - 12. What is the remainder when 11 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/12)\/(-1))\/(25\/75)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k + k + k - 8*k - 2*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000081327 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (0 - (-12)\/(-4)). Let n be (-1 - j - 0) + 5. Suppose -2*k - 29 + 277 = -2*b, -266 = -n*k - 4*b. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = u + 20, -113*u = -109*u + 12*j + 3*j + 76 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + 30*m**2 - m + 56. Calculate x(7).\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 16224*m + 430. Let h be f(5). What is h rounded to the nearest 1000?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 3, d: 3}. What is prob of picking 1 d and 1 k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k. Determine i(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1405, -51, 4?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.38, 0.7, 2\/19, 6\/5, -6, 2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*w - 12*w**2 + 10 + 9*w**2 + 42*w - 4 + 2.\nAnswer: -3*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 1:18 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 19 = -5*i, -2*i + 16 = i + 4*k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 1\/3*a**3 - 3*a + 1\/20*a**5 - 1\/6*a**4 + 0 + 1\/2*a**2. Determine y(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1723, 2020, 2975, 4918, 8179, 13088, 19975?\n\"Answer: 55*j**3 - j**2 - 85*j + 1754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -454723, -454724, -454725, -454726, -454727, -454728?\n\"Answer: -f - 454722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*c - 540 = 0. Let o be 12\/c - 84\/(-45). Suppose 4*v - o*v - 6 = 0. Let g(s) = 7*s - 2. Give g(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 256 - -305. Suppose 4*o - 4*s = -732, 3*o + s + 2*s + j = 0. Calculate the common denominator of -87\/40 and 5 + o\/200 + (-1 - 0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**6\/90 + b**5\/60 + b**4\/12 - b**3\/18 - b**2\/3 + 6*b. Factor f(p).\nAnswer: -(p - 2)*(p - 1)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10224 - 10224 - 871*s**2 + (0 + 0 + 3)*(0*s + 0*s - 11*s**2))*(-4 + 4 - s**2) in the form r*s + d*s**4 + w*s**3 + a + x*s**2 and give d.\nAnswer: 904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) 21\/2 (b) -1 (c) 1\/6 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*(90\/(-55))\/(-6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 76b (base 13) to base 4\nAnswer: 103320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*f - 18 - 124 = 114 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + -163)\/(-1*8\/(-4)). Let v = d - -87. Suppose -5*k = 5, 0 = y - v*k - 4 - 2. Solve -y*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34.6469 and 0.1?\nAnswer: 34.7469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 - -0.12. What is the second smallest value in b, -2, 11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -2\/13 (c) 6 (d) -18506\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, s: 2, g: 4, b: 1}. Give prob of picking 2 n.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrmrhhrmhgggdhg. What is prob of picking 1 g and 2 r?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(sqrt(1331) + 2)**2 + 5).\nAnswer: -12030 - 396*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {r: 3, j: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 2*x**2 - x + 7. Let q be 1 - (2 + -7 + 1). Is r(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3366 = 22*z - 11*z. What is the remainder when z is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*b = 3116 - 3370 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*-5*sqrt(77))\/(sqrt(891) - -2*(sqrt(891)*-2 + sqrt(891))).\nAnswer: -25*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (1 - -6 - (-14 + -46)) - 7?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 898\/117 in 2, -0.02, 1, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 7 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017b (base 12) in base 10?\nAnswer: 41711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8498000 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7960 + 2634 + 2682 - 343*k + 2644.\nAnswer: -343*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -637 + 5231. Let r = -2917 + t. Does 39 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*r**2 - 38 - 2*r**3 + 3*r + 23*r**2 - 16*r**2 wrt r.\nAnswer: -12*r + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10567174 and 2935?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 3, -8, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 603928*g**3 - 2520*g + 117?\nAnswer: 3623568*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -5. Suppose -g = 3*s, 5*s + 13 = 2*f - 0. Which is greater: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2232 and 11\/2044233.\nAnswer: 16353864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -2 + 1 + 198372\/16260\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-1)\/6)\/((-44)\/(-1188))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 98, -4, -56, -1 in ascending order.\nAnswer: -56, -4, -1, 47, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 60, 5, 2, -2823 in increasing order.\nAnswer: -2823, -14, 2, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -237 - -239. Suppose 2*l = -b*u + 16, 5*u - 2*l - 7 = 19. Let g(y) = y**2 - 6*y - 1. What is g(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 10:21 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1128 and 31\/141?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4775 and -4?\nAnswer: 4779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 20*i - 47. Let v(h) = 40*h - 100. Let c(q) = -7*n(q) + 3*v(q). Let z = -3 - 2. Does 26 divide c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 49278 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28169864*d*k**3 + d*k**2 + 5820*d*k + 44*d - k**3 + 63 wrt k.\nAnswer: 169019184*d*k + 2*d - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -2*f**5\/5 + f**4 - 2*f**2 + 2*f - 11. Find t such that w(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**8\/6720 + k**7\/630 + k**6\/180 + k**5\/60 - k**4\/4 + k. Let w(y) be the third derivative of c(y). Calculate w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**0*x)\/x)**42*(x\/(x*x**(-2\/7)))**(-11))**(-2\/7))**(1\/30) assuming x is positive.\nAnswer: x**(22\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*w - 3312 = 540*w for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1258*i**2 + 446*i**5 - 371*i**2 + i**6 - 109*i**5 - 2*i**5 + 122*i**5 wrt i.\nAnswer: 120*i**3 + 27420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 11*w. Let m be r(0). Which is the nearest to -1? (a) m (b) 9\/7 (c) -15\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*sqrt(110)*1)\/sqrt(10).\nAnswer: -5*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/5049 and -47\/785808.\nAnswer: 8643888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.41 + 0.09. Which is the nearest to -0.1? (a) j (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j, -3*w = 2*j - 973068 + 973095 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + -68. Let y = -114 - x. Solve -f + 1 = -y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 63. Suppose 9 - z = -4*b - 3*r, 5*b = 4*r + 52. Let p = b + -7. Solve -2*d - p*g = 20, -d - 1 = -4*g - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81.8 + 81.79998717. Round u to seven decimal places.\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-12 - -34) + (-1 - -2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11521 less than or equal to 12777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - (-39 - -1)) + 8.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -6*2\/3. Suppose -46*c = -42*c. Sort -2, c, l in increasing order.\nAnswer: -2, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -58. Solve -w*s = b + 6, -6*s + 4*s - 14 = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*k - 56*k - 413 + 2285 = 0 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**3 + 49*f**2 - 158*f - 2157. Calculate k(-16).\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjjjwwjjwjww. What is prob of sequence jjj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 27?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-459) - 2167\/(-221)) + (-5)\/(1 + -66).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Let q = p - -3. Suppose 0 = -v + f + 9, -v = -q*v - f - 1. Solve -v*b + 5 = -7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1020130010?\nAnswer: -1020130011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*f - 1985812 = 0, 4*a - 2281390 = 2*f - 295578. Let d = 268190 - a. Let u = 135263 + d. What is u rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 80175, 160354, 240553, 320778, 401035, 481330?\n\"Answer: t**3 + 4*t**2 + 80160*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14820 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -127*o + 307. Determine x(5).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2*(-10)\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1777, 3455, 5133, 6811?\nAnswer: 8489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 6*a + 49. What is n(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-322)\/((-3)\/(-6)*-1). Let s be y\/63 - (-2)\/(-9). Suppose 0*x - 2*x = -s. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*u + 248 = -u, 2*v - 5*u - 76 = 0. What is the highest common divisor of v and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11763.000029608 - 11763. Round v to seven dps.\nAnswer: 0.0000296","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 39*i - 252. Determine t(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*b + 32 - 34 - 18*b)*(16 - 32 + 41*b + 16).\nAnswer: -4182*b**2 - 82*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4828\/15 - 322. Suppose 22*v + 345 = -v. Which is the biggest value? (a) -5 (b) q (c) -4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4) + -9 + 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2. Let z(x) = -2*x**2. Determine z(k(p)).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1458649 or -1458636?\nAnswer: -1458636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3 - 4184*o**2 - 4372277*o + 8761298 = 0.\nAnswer: -2093, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 12:08 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 + 3)*(2*n - 2 + 2) - 8*n - 4*n - 10*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -268341*n*p + 295285*n - 6*p + 8 wrt p.\nAnswer: -268341*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -94, 2\/107, -0.19?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 2. Let k(m) = -m**3 - m + 3. Let i be k(0). Let f(b) = b + 8. Let u(v) = -2*v - 14. Let c(t) = -5*f(t) - 3*u(t). What is i*c(g) - 2*y(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of -3 + (-138 - -13)*-3 + 0\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00665404512 rounded to 5 decimal places?\nAnswer: -0.00665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 3*v**2 + 4*v + 5. Let a be n(-4). Solve -a = 3*c - 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -385 - c?\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q - 80. Suppose -3*l + u - q = 6*u, -2*l + 16 = -4*u. Suppose 0 = -4*j + 5*j. Is j less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*n - 265 = 0. Suppose 5*z + 5*c - n = 0, -2*z + 64 + 22 = -2*c. Calculate the remainder when z is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 110141140 and 0.6?\nAnswer: 110141139.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 26650000 to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzozzzo. Give prob of picking 1 o and 2 z.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1343033341 (base 5) to base 14.\nAnswer: -66a957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62\/431 + 52759\/7758. Let s = -4999\/1794 - -110\/69. Calculate the common denominator of s and m.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 4. Give v(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43499b - -87?\nAnswer: 434a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 1368 = -0*q. Suppose 3*t - 2*t = -2*w + 39, -w = -5*t + q. Let s be t\/18*94400\/1. Round s to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205567201.\nAnswer: 7, 4195249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 0*r**2 - 2*r**2 + (5*r + r + 7*r)*(5*r - 1 - 4*r + 0*r).\nAnswer: 9*r**2 - 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, m: 3, q: 4, y: 2}. What is prob of picking 1 m and 1 y?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-18))\/(12\/180).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 1\/12*d**4 - 2*d + 1\/2*d**2 + 0 + 1\/6*d**3. What is the units digit of n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.35 + -0.4. Let g = x + -0.05. What is the nearest to g in -3, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 716 and 18.\nAnswer: 6444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 60?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(8 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*k + 2 = 0, 4*k + 2 + 8 = c. Let s(a) = -a + 1. Let g be s(3). Let n = -2 - g. Solve -f - c + 1 = n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -1.59 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48219 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*d = -5*a + 49938 - 49959, 4*d + 2*a + 18 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 5*f. Let d be -2 + (-4 - (0 - 2)). Let i be x(d). Suppose -2*s + i = 2*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 1. Let r be k(2). Let w be 2*(2 - 9\/(-2)). Suppose 7 + w = 4*o - b, r*o = 4*b + 2. What is the remainder when 23 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4943 + 4963. What is the remainder when 76 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-13))**46*(r**9)**(-2\/41))**(5\/11) assuming r is positive.\nAnswer: r**(-122680\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3170, 12419, 27680, 48827, 75734, 108275, 146324, 189755?\nAnswer: 238442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4115, -4110, -4101, -4088?\n\"Answer: 2*g**2 - g - 4116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 171, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22120313 - 4?\nAnswer: 22120304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-6)\/9*6\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 146*q - 11. Let o(p) = -130*p + 12. What is 9*o(h) + 8*w(h)?\nAnswer: -2*h + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 3*d - 5*d - 2*d + 0*d + 0*d + (-1 + 1 - 1)*(0*d - 5*d + 6*d) - 7 + 7 - 6*d)*(-11*d + 12*d + 17*d).\nAnswer: -198*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 16. Suppose -2*n + 8 = 4. Suppose -p + 3*q - n = -21, -3*q + 136 = 4*p. Calculate the remainder when p is divided by c(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 55 - 3?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10 (b) -5 (c) 2\/5 (d) 0 (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55998 and 12306708?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 5\/6, 4, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32010122 (base 4) to base 16.\nAnswer: e11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1090 and 213204.\nAnswer: 1066020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 5*b - 97. Let q = b - 20. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 - 2*t + 78. What is the units digit of s(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53 or 32?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/24 and -121\/2718348.\nAnswer: 5436696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 30, 0.3, -3, 4 in ascending order.\nAnswer: -3, 0.3, 0.5, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 times 1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 5. Let c(f) = 5*f**3 - 4*f**2 - 5*f. Let w(m) = -5*m**3 + 5*m**2 + 5*m. Let o(z) = s*c(z) - 4*w(z). What is the second derivative of o(g) wrt g?\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -23. Let q = z - -131. List the prime factors of q.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323920272.\nAnswer: 2, 82745017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odjwwwwwwuuj. What is prob of picking 3 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Suppose h + 3*p + 329 = 3*h, -l*h = -3*p - 489. Suppose -2*o - 2*o = -h. Calculate the greatest common divisor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 542 divide 259076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 171014?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -267.9999863 - -268. What is w rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 290 = -5*g - 10, 5*p = 0. Is g != -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/31)\/((k**(-4\/13)*k)\/k))**33\/((k*k**0*k*k)\/k**(5\/4))**(-1\/77) assuming k is positive.\nAnswer: k**(142699\/17732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -50072 divided by 192\nAnswer: -6259\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 take away -39?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/15, -4, -8\/5, 0.098?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*i - i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**5\/20 - c**4\/6 + c**3\/3 - 3*c. Let o be x(-3). Solve o = t - 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -1496, -3\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**3 - 5*o**2 + 9*o - 16. Calculate v(3).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6618 and -11.\nAnswer: -6629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*w + 643*w - 406*w - 35055 = 0 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 6) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/14 - (-21)\/49. Let b(d) be the third derivative of -3*d**2 + 0*d**3 + 0*d**4 + 0*d + q + 1\/60*d**5. Determine t, given that b(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9)\/b)**(8\/5)\/(b\/(b**2*b)*(b*b**(-2\/5))\/b) assuming b is positive.\nAnswer: b**(52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z - 2679 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -838*z**2 + 12 + 2*z - 50 + 845*z**2 - 8*z in the form a*z + k*z**2 + d and give d.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-51)*590988\/188305.\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275359866.\nAnswer: 2, 3, 233, 431, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 134559 and 36627?\nAnswer: 1642830831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i - 25. Let m be a(-4). Solve -n = n - m*v + 2, 2 = 2*n - 5*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 46*p - 36. What is w(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.519493 nanometers to meters.\nAnswer: 0.000000003519493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24.4 * 4\nAnswer: -97.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 5*z - 8. Let i be o(7). Suppose -f + i = 2*f. Let w(x) be the third derivative of -x**5\/15 + x**4\/8 - x**3\/6 - 6*x**2 - 21. Give w(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10568 is divided by 66?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or 533?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3417*l - 7265. Give z(2).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (7 + -2 - 3)) + 8.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30905.44s in milliseconds?\nAnswer: 30905440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3104 + 14000?\nAnswer: 10341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 7*m**2 - 6*m - 10. What is w(-7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -2 - (-22 + 24)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - v - 2*v - 58, -5*g - v = -6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 21362?\nAnswer: 21361.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-0.5.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/382800 and -163\/69300?\nAnswer: 8038800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)*v**(-1\/13) assuming v is positive.\nAnswer: v**(-14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115\/27 or 4?\nAnswer: 115\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 + -4.99. Let b = 0.1 - -0.4. Let h be 1 + 0 - (2 + -1). What is the closest to -1 in h, b, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1582, -1632, -1692, -1768, -1866?\nAnswer: -1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - (2\/3 + 0))*-57 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.017 - -0.003. Put 0, a, -3\/8 in increasing order.\nAnswer: -3\/8, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 55 = -5*s, -3*y + 11 = -s - 13. What is the units digit of s\/6*28\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3.8296.\nAnswer: 5.8296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 36530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3085*o**3 - 2*o**2 + 41*o + 31?\nAnswer: 18510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5526763 > 5526762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/5, -0.5, -0.055 in increasing order.\nAnswer: -19\/5, -0.5, -0.055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*u - 47*u + 484 + 130*u - 49*u - 974 + 490.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -36. Let d(o) = -3*o**3 + 362*o**2 - 355*o**2 + 4*o**z - 6*o + 5. Let p be d(-8). Which is greater: 0.1 or p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1144 (base 5) to base 10\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -9. Suppose 5*b + 9 = -y + z*y, -2*y = -3*b - 25. Let h be 6\/(-28) + (-4)\/y. Do -4 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysysyy. Give prob of sequence ysy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 47*p**2 + 3*p - 4. Let x(l) = -47*l**2 - 4*l + 6. What is 4*j(z) + 3*x(z)?\nAnswer: 47*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/29 (b) 0 (c) 9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 8999.\nAnswer: 8999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 50.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423789.2 nanometers to kilometers.\nAnswer: 0.0000004237892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12 = 3*a. Let v be (-13)\/(-3) + (-1)\/a. Suppose -2*q - d = 4*d + 6, 4*q - v = -2*d. Which is smaller: 1\/2 or q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/29, -16, 1, -10\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169336 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7637 and 6.7.\nAnswer: 51167.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -681547, -681498, -681449, -681400?\nAnswer: -681351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -17162*o + 1115. Is k(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 433 + -393. Suppose 0 = -u*x + 51*x - 44. Solve -2*y = -x*y - g - 6, 0 = 3*y - g + 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.081 times -29.4?\nAnswer: 2.3814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 51*q**2 - 87*q + 153. Is v(-40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/225 and -28\/6189.\nAnswer: 464175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -31. Suppose 6*c - 36 = i*c. Is c*((-12 - -1) + 4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2 = 12. What is the tens digit of (-3)\/g - (2004\/(-8) + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -611415, -1222828, -1834241, -2445654?\nAnswer: -3057067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 11 + 12)*(-4*s + 2*s + 4*s).\nAnswer: 68*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s**3 + 86*s**3 + 53*s**3.\nAnswer: 163*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 90 = 4*y, 83 + 37 = 5*y - 5*t. Let d(a) = a + 0*a - 22 + y. Let w be (40\/(10\/(-2)))\/2. Give d(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/19494 and -151\/882.\nAnswer: 955206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2971.\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5517 - 4.5743. What is s rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-3\/14)))\/p)**(-8) assuming p is positive.\nAnswer: p**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**4 + q**4 + 2*q**4 + (q + q - 4*q)*(-1733 + 1733 - 29*q**3).\nAnswer: 56*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 9) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose -j - 4*v = 10, -j - v + 7 = 8. Let g(o) = 682*o**2 + 11 - 683*o**j + o - 2*o + 5. Determine g(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/18)\/((-240)\/(-192)))\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/91500 and 107\/32400?\nAnswer: 9882000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -263*u + 14504. What is j(55)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3891883.55 rounded to the nearest 1000?\nAnswer: -3892000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(8\/3)*z**(-7))\/(z\/((z\/(z*z**0\/z))\/z)*z)**(9\/2) assuming z is positive.\nAnswer: z**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 440 + -79. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/3, -3.1, 0.2 in descending order.\nAnswer: 2\/3, 0.2, -3.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27384811?\nAnswer: 31, 457, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 0*q**3 + 5*q + 2*q**3 + 9 + 14*q**2 + 8 - q**3. Let t be s(-14). Let u = t + 57. Solve p = -j + u, 0*j = -4*p + 2*j - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/(-2) + -1 - 2. Let r = -11 + i. What is the remainder when 27 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:38 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -25 (c) -3 (d) -26.5 (e) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.57015693 rounded to 1 decimal place?\nAnswer: 142.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13 - 24 - (-4832)\/4. Calculate the greatest common divisor of t and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.523 and 7.\nAnswer: -3.661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 2\/22745, -322?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.452593157 + -3119824.922593157. Let z = h - -3120399.469767. Let v = z + -575. What is v rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*a**4*z + 4*a**4 + z + 19 wrt a?\nAnswer: -68*a**3*z + 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -48854+-2947270.175\nAnswer: -2996124.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**4 - 56*z**3 - 4*z**2 - 2*z - 7407?\nAnswer: 12*z**2 - 336*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4 - 26. Let t be (-5 + 4 + -2)*(38 - 37). Let g be t + (-3 - l\/(-2)). What is the closest to g in 2, -4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - t**2 + t**2 - 4 + 4 + 2*t**2 + 3*t - 3*t + 2*t**2 + (-2*t - 1 + 1)*(-4 + 4 - t) + (-699*t + 87*t - 229*t)*(-2*t - 2*t + 6*t).\nAnswer: -1678*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 3. Let r be n(12). Let a be ((-614979)\/60)\/(r\/10). Let p = a - -6840. Calculate the common denominator of p and 21\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a hour in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 41 + 17 + 50 - 15.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 82, -0.5, -51.781, 6\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 9:31 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -2. Suppose -q + 2*h - 3129 = 579, -j*h - 18480 = 5*q. Round q to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 163 - 2*k + 176 + 10*k. Let u be y(-7). Find the third derivative of -13*n**2 - 12*n**6 + 38*n**u - 13*n**6 wrt n.\nAnswer: 1560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 8*v - 3. Let q be z(4). Solve -y + 2*n + 8 = -0*n, y = 3*n + q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77290 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: Let j = -0.5 - 0. Sort 1, j, -2\/3 in descending order.\nAnswer: 1, j, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1998341895.\nAnswer: 3, 5, 11, 12111163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.33 + 97.33. Let m = k + -105.8. Let j = m + 6.98. What is j rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 80?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9889, -19681, -29233, -38425, -47137, -55249, -62641?\nAnswer: -69193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7871 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f + 12*f + 13*f - 39*f + 88.\nAnswer: f + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -312222 - 139?\nAnswer: -31235b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22809d (base 15) in base 2?\nAnswer: -110010010001000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259, -271, -303, -361, -451?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 44 - (-1100 - -1069)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**5\/3 + 28940*b**4\/3 - 1238588*b**3\/3 + 11241940*b**2\/3 + 15218272*b = 0.\nAnswer: -3, 0, 23, 7192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1088256, 2176514, 3264772, 4353030, 5441288, 6529546?\nAnswer: 7617804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 7\/11, 4, -7?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/5 and -1*((-2684)\/24)\/11.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.86 - 0.14. Let u = 11.21 + -0.21. Let m = u + j. Which is the third biggest value? (a) 3 (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -676 (base 11) in base 12?\nAnswer: -575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 26*b - 9*b. Let n(j) = -3*j + 6. Let z(t) = -9*t + 17. Let s(v) = b*z(v) - 17*n(v). Let q(i) = 39*i**2. Calculate s(q(w)).\nAnswer: -117*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**4\/4 + j**3\/6 + 15*j**2 + 2*j - 1. What is the hundreds digit of a(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - -0.2. Let c = -65451\/130894 - -2\/65447. Let u = 6 + -2. What is the nearest to c in u, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/2 + 15*k**2\/2 + 22*k - 30 = 0 for k.\nAnswer: -10, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**5\/4 + 7*d**4 - 193*d**3\/4 - 43*d**2\/2 + 161*d - 98 = 0.\nAnswer: -2, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqp when three letters picked without replacement from psqpsqqq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 6. Suppose -2*m + j - 24 = 5*j, m = -3*j - 14. Let c be r(m). Let f be 46*(2 + 123911) + c. Round f to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23188000 and 816?\nAnswer: 69564000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 40, 50, 56, 58, 56, 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - j - 5. What is o(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42364 divided by 6052?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-6)*100\/250.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 f when four letters picked without replacement from {m: 2, f: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l + 25*l - 4*l)*(2 + 1 - 4) to the form y*l + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11565976?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*d**3 - 7*d**3 - 11*d**3 + 32*d**2 - 196*d**2 to the form r*d**2 + a + u*d + c*d**3 and give r.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.56 (b) -0.34 (c) -2 (d) 814 (e) -1\/4 (f) 3 (g) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 664160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 26*m + 2. Suppose -s + 6*s - 15 = 0. Let n be o(s). What is the highest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133\/2 - -65. Let t = -0.005 + 0.505. What is the second smallest value in t, x, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r - 20 = -40*r. Let z(l) = -4*l**3 - 2*l**2 - 4*l. Let u(k) = -3*k**3 - 2*k**2 - 3*k. Let g = 8 + -11. Let i = g - -7. Give i*z(p) + r*u(p).\nAnswer: -p**3 + 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-5 - (-9 + 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 5*k + 3. Let n be (-75)\/(-100) + (-34)\/(-8). Calculate h(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-532)\/60 + 6 + 3 - (-78166)\/(-633270)\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 7) + -6 - (-3 - 19 - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0*h**2 - 3 - h + 4*h - h + h**2. List the prime factors of w(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let m = 84 + -82. What is the biggest value in r, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 353487419 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.041767 (b) 1 (c) 1\/5 (d) 0.3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 9. Let t(g) = 7*g - 18. Let u(q) = -10*l(q) - 4*t(q). Let w be u(12). Let d(c) = -c**2 + 6*c - 7. What is d(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, d: 2, o: 8, n: 1}. What is prob of picking 3 o and 1 g?\nAnswer: 32\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -13 - 24) + (-2 - -7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -57*m + 1. Let o(q) = -36*q + 2 - 19*q + 36*q - 2. Give -7*o(f) + 2*r(f).\nAnswer: 19*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27088 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 102084.267497.\nAnswer: 102079.267497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1706, 1677, 1638, 1583, 1506, 1401, 1262?\n\"Answer: -y**3 + y**2 - 25*y + 1731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 + 4328*y**2 - 4328*y**2 + 16*y**4 + (-3*y**3 + 0*y**3 + y**3)*(-4 + 4*y + 4).\nAnswer: 8*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aauaua. Give prob of sequence uu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4484, -17916, -40302, -71642, -111936, -161184, -219386?\nAnswer: -286542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 249 + -251. Let o be 0 - y - (-410)\/5. Suppose 4*t + 16 = 64. Calculate the greatest common factor of o and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 28 = 91. Let c = z - 4. Calculate the remainder when 31 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (4 + -3 + 5) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 15*g - 191. Let f(h) = h. What is f(o(x))?\nAnswer: 15*x - 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16307 is divided by 7675.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**4 - t**2 + t. Let p = 195 - 198. Let q(o) = -2*o**4 + 3*o**3 + 6*o**2 - 2*o. Let h(f) = p*u(f) - q(f). Let h(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 336*m**2 + 5*m.\nAnswer: 336*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 0.016, -4543 in ascending order.\nAnswer: -4543, 0.016, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10020221 (base 3) to base 16.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**5\/(o\/(o**(-7\/4)\/o)) assuming o is positive.\nAnswer: o**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16615 - 5747. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 4*v**2 - v - 6. Let n be l(3). Suppose 3*q + 3*k - 3507 = n, 4*q - 4678 = -0*k - 3*k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*o**2 - 2424*o**2 + 407*o**2 + 401*o**2 + 405*o**2 + 403*o**2 + 396*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*170.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 121.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/207*(-6)\/8.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18274424933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 33 = 3*t, 26*r = -4*t + 21*r + 17. Which is the closest to -0.1? (a) 0.2 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 8*d + 64.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -193 - -580\/3. Let x be (-64)\/(-28) + 4\/(-14). Sort 5, g, x, 2\/9 in descending order.\nAnswer: 5, x, g, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.74342mg to micrograms.\nAnswer: 64743.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7475 - 2434. Let k = m + -1514. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3891, 4 in decreasing order.\nAnswer: 3891, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 29*f - 80. Let l be b(-28). Does l = -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**2*n + 3*m**2 - 22*m*n - 5*m wrt n?\nAnswer: -2*m**2 - 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -71, -133, -223, -347?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(68))**2 + -2 - (-2*sqrt(17) + -3 + sqrt(17) + 1).\nAnswer: -272 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195831661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5968\/(-6) + (-174)\/(-261). Is -992 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + -1002?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9*(-2)\/(-6) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 5*l + 6, -165*b - 4*l + 74 - 42 = -290 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -12. Let t be (r + (-5)\/(-10))*(-8)\/14. Put t, 0, 3, -2 in descending order.\nAnswer: 3, t, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4032) + sqrt(4032))\/(-2*sqrt(144) + sqrt(144) - sqrt(144)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0*i**4 + 1\/60*i**5 + 0*i + 1\/6*i**3 + 2*i**2 + 18. Suppose -3*c + 2 = -c. Let o(l) = 9*l**2 + 6. Give c*o(k) - 6*n(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**5\/40 + o**4\/32 - o**3\/8 - o**2\/16 + o\/4 + 1. Suppose s(h) = 0. What is h?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1768*b + 1768*b + 80*b**2)*(4*b**2 - 2 + 2) + (2*b - b + 0*b)*(0*b**3 - 2*b**3 + 0*b**3) to the form n*b**4 + x*b + h + u*b**3 + o*b**2 and give n.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4 - 10*f**3 - 27*f**2 - 2*f + 40 = 0.\nAnswer: -5, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12744?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 3*p**2 - 3143 - 8*p**2 + 3*p**3.\nAnswer: 3*p**3 - 3143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 688\/(-20) - (-2)\/5. Let v be (-1)\/(-3) + c\/(-6). Suppose 5*a - v - 19 = 0. Solve a*r = 5*o + 7 + 28, -r - 13 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1892 - 930. Let q = 965 - d. Let n = -1.1 + 0.1. Which is the nearest to -0.3? (a) -0.3 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -24*m + 282. Let l = -12740 + 12752. Determine x(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -4*z - 2*b, -9957*b + 9958*b = -3*z + 53 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u + 4*u + 7*u in the form n + z*u and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 - 8*b**2 - 3*b + 3. Let i be m(-3). Suppose 1435 = 4*h + 22*p - i*p, -704 = -2*h + 4*p. Calculate the remainder when h is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f - 6*f + 0*f - 720 - 5*f - 2*f - 8*f.\nAnswer: -f - 720","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 0*a + 1\/11*a**4 - 2\/11*a**2 - 2\/33*a**3 + 2\/55*a**5 - 30. Let x(j) = 0. Calculate j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjk when three letters picked without replacement from {j: 7, v: 1, r: 3, f: 1, k: 1}.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, d: 4, n: 1, i: 1, x: 1}. What is prob of sequence dnfi?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 + -1.3. Let v = j + 8. Which is the smallest value? (a) -3 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 4*n - 4*n)*(2020*n - 1031*n - 1004*n + 26).\nAnswer: -30*n**2 + 52*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349139561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, u: 3}. What is prob of sequence uuo?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1088.\nAnswer: -1\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.656829 rounded to 3 dps?\nAnswer: -8.657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 659488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a - 8*a - 3*a)*(2 - 1 - 3) to the form z + g*a and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -1 + 9016\/(-644)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**2 - 1 + 9*j**2 - 21*j**2 in the form r*j**2 + i + l*j and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*f - 6, 24 - 14 = 5*a + 2*f. Solve -8*o - s = -12*o - 7, 2*s - a = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4 + 0 - 2*l**2 + 1 - 981*l**3 + 985*l**3 + 4*l. Let i be x(1). Solve 4*w - 1 = i*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 8 - 7 = b, -5*b - 5 = q. Let w = -13.4 + 13. Let i = w + 0.2. What is the third biggest value in q, -2, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11753350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13025 + -30?\nAnswer: -13055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*u*x**4 - 241*u*x**3 + 199*u*x**2 + 665*x**3 + 32*x**2 - 2*x - 678 wrt x?\nAnswer: 264*u*x - 1446*u + 3990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11203032 - -1?\nAnswer: -11203031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 134\/181 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -4 - -2) + -4 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 157 = 3*v, 2*w + 0*w - 74 = -4*v. Let z(t) = 8*t**2 - 39 + 39 - w*t**2. Let b(k) = -4*k**2. Determine b(z(a)).\nAnswer: -1764*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20213 (base 5) in base 15?\nAnswer: 5c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 8*j - 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908622748.\nAnswer: 2, 11, 1777, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -1 (b) -6 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*g - 40*g = 117*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -259 + 244. Let w(j) = -j**3 - 10*j**2 + 74*j + 6. What is the lowest common multiple of w(y) and 87?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 13*c + 13. Give u(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 74373.06 and 831.\nAnswer: 75204.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -78, 2\/5, -27, 0.6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 42. Suppose -3*v + c + 195 = 0, k*c = -4*v + 2*v + 147. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16600, 33763, 50926, 68089?\n\"Answer: 17163*i - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 5*r**2 - 5*r + 3. Let z be b(-6). Let j(t) be the second derivative of t**3\/6 + t. Determine j(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305938035 divided by 3?\nAnswer: 101979345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -366 (c) -69\/5 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57.3 + -56.3. What is the nearest to 6\/7 in -7, 3\/2, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 12) to base 15\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = q + q - 80, 0 = 2*c - 8. Let n = q - 11. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 502 + -500. Solve -5*z = -2*z + 4*b + 9, -w*b = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 465, 0.1, 23584 in decreasing order.\nAnswer: 23584, 465, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijiiihjhiijl. Give prob of picking 1 l, 2 i, and 1 h.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (-80)\/(-6))*-12. Let g = u + 119. Calculate the highest common factor of 27 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cctjbcuc. Give prob of picking 1 b and 3 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 301614.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7.404108 from -0.2.\nAnswer: -7.604108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5292 and 43680?\nAnswer: 2751840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z + z)*(-230 - 240 + 485 - 10*z)*((z + 0*z - 3*z)*(4*z - 2*z + 0*z) - z**2 + 4*z**2 + 0*z**2).\nAnswer: 30*z**4 - 45*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 19*p - 9. Let k be t(0). Let h(c) = -c**3 - 8*c**2 + 10*c + 6. Calculate h(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 - -67. Let u = -55.8 - t. Round u to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1.3, -9, 1?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4392)\/(-101016))\/(18\/23).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-2)*(-8)\/14. Let i = k - -2. Let m(t) = 5*t - 9 + 3 - i*t - 4. Determine m(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 58 - 4*f - 66 + 187 - 77 as m*f + i and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-3) - (-4)\/6. Let n = h + 6. Suppose -n = 3*g + 3. Are g and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1091 + 1086. Let o(j) = j**2 - 2*j - 3. Determine o(p).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 7*v - 6. Let a be i(-4). Suppose 2*t = 5*g - 37, t + a = -2*g + 28. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 - 1. Let d(u) = -19*u**2 + 44*u - 136*u + 5 + 53*u + 40*u. Give -2*d(v) - 9*x(v).\nAnswer: -7*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0947*0.01\nAnswer: 0.000947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 12 (c) -0.3 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2393 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1807.\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.297 - 1.2969343. Round l to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*5)**2*3.\nAnswer: 5100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, p: 1, u: 10, m: 3, n: 1, v: 3}. Give prob of picking 2 m, 1 u, and 1 c.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.9 + -21. Let f = 108.73 + -110.73. Which is the nearest to t? (a) f (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/1057 + -7435\/19026. Let r = 2\/26957 + 2776523\/646968. Calculate the common denominator of r and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3226.9 - 3229.9. What is the second smallest value in 1, 36, -45, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533948.39 rounded to the nearest 100?\nAnswer: 1533900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccddccvcccdvccvdvcd. Give prob of sequence dc.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 - -159. Solve 4*z - 16 = -2*g, z + 8 = -2*g + w*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122736855?\nAnswer: 3, 5, 17, 23, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a + 4*f - 34 = 0, -3*a = -3*f - 69. What is the greatest common factor of 18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1469607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 0 + 1\/2*f**7 + 0*f**6 + 0*f**2 + 9\/2*f**3 + 22*f + 0*f**4 + 0*f**5. Find the second derivative of y(j) wrt j.\nAnswer: 420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1062592 and 3320600.\nAnswer: 26564800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 31*x**3 + 497*x**2 + 13*x - 51. Give a(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a kilometer in meters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 10*v**2 - 38*v + 10. Give w(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 39 + 1 = -3*h, 36 = h - 4*q. Calculate the highest common divisor of 40 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1479 and 561?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2. Let k(d) = -16692*d**2. What is k(g(p))?\nAnswer: -267072*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g**2 - 2*g - 6. Let n(a) = 23*a**2 - 6*a - 17. What is 6*n(d) - 17*v(d)?\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 75272*v\/3 + 10036\/3.\nAnswer: (v - 5018)*(15*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 16 = 4. Let p = 9405 - 9410. Let a(v) = 2*v**2 + 4*v - 6. Let b be a(-4). What is the third smallest value in b, p, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/20188 and -41\/1442.\nAnswer: 20188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/3 (c) 0.2 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 26 - 29 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**2\/3 - 10*k\/3 + 8\/3 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 5:23 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc27 + -1?\nAnswer: -bc28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y + 2. Let w(d) be the third derivative of 5*d**4\/24 + d**3\/6 + 192*d**2. Determine -3*w(j) + 4*x(j).\nAnswer: j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 27, 8\/7, -253\/4, -4, 136?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j**2 + j**2 + 5*j**2 + 5*j**2 + 2*j**2 + 4*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 3*p - 9*p + 0*p + 3*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -10. Suppose 4*t + 3*p - 14 = n, -2 = -2*t + 3*p - 2*p. Let c be 21\/9 + t\/3. Solve 0 = c*z + 4*f + 5 + 26, -5*z = -3*f + 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 1986*p**2 - 197163*p + 5341356.\nAnswer: -3*(p - 548)*(p - 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(2\/(-3) + 7\/6). Suppose -z - 3*v = h, -5*v + 21 = 46. Calculate the remainder when 27 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, e: 6}. Give prob of picking 4 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 - 29*c**3 + 7266*c - 7266*c - 1 - 3*c**4 - 7*c**4 as i*c**4 + d + f*c + z*c**3 + h*c**2 and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24822 by 1379.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/(-14))\/((-1430)\/455) and -32\/127?\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 77.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 113003013 (base 4) to base 7\nAnswer: 542145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 43 = 6*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 v when four letters picked without replacement from {v: 5, i: 2, r: 9, j: 3}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/6 - 4801\/(-3). Suppose -59 = -11*f + g. List the prime factors of f.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*y + 424*y + 2924 = 0 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -30.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i + 60. Let o be h(-7). Suppose o*r + 0*r = 2*m + 1152, -r + 2*m + 291 = 0. Suppose 0 = -5*y + r - 37. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 55, 119, 183, 247?\n\"Answer: 64*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 1:50 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 41. Let g(w) = -3*w**2 - 42. What is -4*g(u) - 5*z(u)?\nAnswer: 2*u**2 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 97987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: c36c76 (base 13) to base 15\nAnswer: 600121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + 0 - 29\/((-29)\/6). Let j(l) be the first derivative of 18*l**4 + 4*l**2 + 2\/5*l + 236\/15*l**3 + 162\/25*l**5 + q. Factor j(g).\nAnswer: 2*(g + 1)**2*(9*g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t - 16*t = 62 + 228 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 2, b: 2, m: 8}. What is prob of picking 1 b and 1 m?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiaaiii. What is prob of sequence ii?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 4*x - 36 = 0. Calculate the smallest common multiple of (-68)\/(-3)*(1170\/72 - 14) and x.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(968) - (sqrt(968) + sqrt(968)*-2 - sqrt(968)) - sqrt(8)).\nAnswer: sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 1182 - 1583 - 1887 = 0. Which is greater: -1240\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 5*p + 20. Suppose p*w = 2*w + 4. Calculate the highest common divisor of 16 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 96*m + 5. Let z(x) = -x. Determine z(d(i)).\nAnswer: -96*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171148061 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4533.1 and 1327.\nAnswer: 6015423.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 25 - 115*h - 4 + 143*h. Let t be v(7). Suppose t = 5*l + 3*j, -5*l + 0*j = -j - 221. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76992 and 5952.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 10. Suppose -3*g + 4*q = 2*g - 7, 0 = 3*g - i*q + 1. Suppose 0 = g*j + 3*r - 9, -2*j + 18 = -3*r - r. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1154.38505 and -0.3.\nAnswer: 346.315515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25a94c3 (base 13) in base 2?\nAnswer: 101101000100110101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 586 * 0.5.\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*i + 79*i - 367*i + 97*i - 3*i**2 + 2*i**3 + i**3 to h*i**2 + g*i + l*i**3 + t and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15476500 by 4.\nAnswer: 3869125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**3 - 4*d**2 - d + 2. Let t(h) = 3 - 2*h + h**3 - 3*h**3 + 44*h**2 - 2*h**3 - 49*h**2. Determine -3*m(l) + 2*t(l).\nAnswer: l**3 + 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - o**3 + o**3 - o**5 + (0*o**4 + 4*o**4 - 2*o**4)*(10*o - o + o).\nAnswer: 19*o**5 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w = 0. Let v = -2 + w. Let h = -183.4 + 183.5. Which is the nearest to -2? (a) h (b) v (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44, -107, -182, -269?\n\"Answer: -6*v**2 - 45*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 696, 689, 668, 627, 560, 461?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -392 + 395.76. What is p rounded to one decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 842 (base 11) to base 8.\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 46?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -24*i + 4. What is the tens digit of t(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 1 = -2*h, -11467*o - 2 = -11466*o - 8*h + 3*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 10:47 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 14*c - 75. Let t be x(9). Calculate the greatest common factor of 34 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2970 is divided by 185?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 91 (b) 47 (c) 3 (d) 1 (e) -1.47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6182 and 1694?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 + (-12)\/(-5). Let f be s\/(-3) - (-64)\/24. Let o be ((-2)\/36)\/(f\/(-6)). What is the third smallest value in -2\/13, -0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/(-2)*((-10)\/15)\/(-1). Suppose 0 = -2*z - z + n. Let q be 2\/(-6) + 22\/z. Calculate the highest common divisor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-1 + -2) + 3. Let x be 0 + -2*(g + -1). Let u be 1 - (-6)\/x - 3. Is u smaller than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2, -7*o + 2*z + 20 = -3*o. Solve h - 3 = -r, -o*h - 5 = -5*r + h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = 4*l - 3*m - 959, -3*l = -m - 705. Suppose -4*j + l = -4. Let a = 27 + j. Is 29 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4. Let y = -3002 + 3016. Calculate the lowest common multiple of (-6)\/3 - (w + -7) and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 2. Let s(v) be the first derivative of -3*v**2\/2 - 4*v - 31. Calculate -5*m(k) + 3*s(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 38*w**3 - 6*w**2 - 6*w + 15. Determine x(2).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391231170 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmjjwwwwwjmjwwj. Give prob of sequence wjm.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623709489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7016 - -7012. Which is the second smallest value? (a) 0.1 (b) 11 (c) 0 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-280)\/(-100)*(5 - 0). Let d(x) = x - 23. Let l be d(15). What is the tens digit of ((-1012)\/l)\/(7\/w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/2 + 5782*s**3 + 16715762*s**2.\nAnswer: s**2*(s + 5782)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 1, u: 1, d: 4, v: 1}. Give prob of picking 1 d and 1 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 964839 and 57?\nAnswer: 964839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 267 and 2169610494?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -66330, -2\/7, -2.3, 0 in ascending order.\nAnswer: -66330, -2.3, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 5*l**3\/3 + 35*l**2\/2 + 60*l - 569. What is p in y(p) = 0?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - 1. Let r be w(2). Let l be (r\/4)\/((-12)\/48). Suppose -10*a = -l*a - 20. Solve 3*h + 22 = -5*n, -a*h - 5 = h + 2*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndbn when four letters picked without replacement from bsnndsnndnnb.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 5*u**2 - 5*u - 4. Let b be (1 - (2 + 0)) + 7. Let m be 44\/10 - b\/15. Suppose m*i + 15 = -1. Determine z(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiixiqxixxxxqxii. What is prob of picking 2 i?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**2 + 60*j - 65 = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36156 + -25449. Calculate the highest common divisor of h and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmukoumuumkmouuuukf. What is prob of picking 1 o, 1 f, and 1 k?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185c2 (base 13) to base 2.\nAnswer: 1011100000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376706114.\nAnswer: 2, 29, 41, 157, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*t + 42*t = 3*q - 18, -5*q + 6 = -3*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*w - 899*w + 396*w.\nAnswer: -138*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 350 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18208009 is divided by 84?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7\/4*h**5 - 1\/2*h**3 + 0*h + 0*h**2 + 0 + 9\/4*h**4 = 0 for h.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.621 - -4.121. Which is the nearest to 2? (a) -0.07 (b) r (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13613 is divided by 4537.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 19)*(-f + f + f**2)*(-f + f - f) + 4*f**3 + 0*f**3 - 2*f**3.\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -693132 divided by -346566?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -43 (b) -2 (c) 6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192305053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 911957\/70 + -13028. Suppose -n + 4*a = 9, -6*n + 3*n - a - 1 = 0. Is d greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 5*h**2 - 2*h - 5. Let z be u(-5). Let x(t) = t**3 + 0 + t**2 - 1 + 3*t - z*t. Suppose 14*k + 20 = 4*k. Calculate x(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.257 + -0.143. Let i be (3 - 2)*9\/24. Which is the nearest to -2\/5? (a) h (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 17924 = -4*f + 18038, 29 = -n + f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t + 13. Let q be s(-9). Let m = q + 57. Calculate the lowest common multiple of ((-10)\/(-1))\/(-17 + 18) and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.49 and -0.00872259.\nAnswer: -5.49872259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452733.\nAnswer: 3, 229, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruununuumrrrrurru. What is prob of picking 1 m and 1 n?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98928.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 81a7a6?\nAnswer: -81a7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -57, -226, -565, -1134, -1993, -3202?\nAnswer: -4821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t - 1. Factor 3*f**2 + 3*f + 3*f**3 + 3*f**4 - 5*f**3 - 1 - 5*f**t - f**5.\nAnswer: -(f - 1)**4*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 0*l + 20. What is the lowest common multiple of l and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 63*v + 275. Suppose 4*o + 92 = 2*h, 146 = -h + 4*h - 4*o. Calculate the remainder when h is divided by i(67).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 50981481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + v + 3)*(1 + 3 + 0) - 4 + 4 + 6*v)*(-4*v**3 + 4*v**3 - 2*v**4).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meeecegescss. What is prob of picking 1 g and 1 c?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93819305 is divided by 13402756.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-4))\/((-117)\/(-42588)). Put s, 0, 5, 4 in descending order.\nAnswer: s, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3 + 192*o - 1024 = 0. What is o?\nAnswer: -16, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 0.7. Let q = 203.133 + -203. Let d = 0.113 - q. What is the closest to f in -2, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g + 40. Let k be b(-7). Let r = k - 106. Suppose 0 = -3*d - r*d + 3780. Calculate the highest common factor of d and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 2*a**2 - 5*a. Let g(c) = -c**2 + c + 1. Suppose 1078*v - 2 = 1080*v. Give v*l(p) - 2*g(p).\nAnswer: -p**3 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 115665421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000462977 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000101438332 rounded to seven decimal places?\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*a - 4 = -14, 17 = -3*f - 2*a. Sort f, 13, -1 in ascending order.\nAnswer: f, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 19.12. Let f = r + 0.22. Sort f, -1\/4, -1 in descending order.\nAnswer: f, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/9, -2, 5\/8 in decreasing order.\nAnswer: 2, 5\/8, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 1. Let m = 16 - 15. Let w(a) = -6*a + 5. Give m*w(b) - 5*n(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40\/51 + 353\/34. Suppose -3272 = 4*l - 6*l. Let a = -8243\/5 + l. Calculate the common denominator of s and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1554, -1471, -1376, -1263, -1126, -959, -756?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 10 = -4*l. Let c be (45\/(-6))\/(111\/(-74)). Suppose 4*x = c*v - 2 - 11, 4*v - 5*x - l = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45 + 4305\/(-175) + -20. Factor 54\/5*h - 28\/5 - 24\/5*h**2 - b*h**3.\nAnswer: -2*(h - 1)**2*(h + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.598 * -0.07\nAnswer: -0.04186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + l + 21, 5*l - 2 + 7 = n. Suppose x + 8 = v - n, 2*x + v = -75. Let c be (3\/20)\/(x\/32). What is the smallest value in c, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10669, -21333, -31997, -42661?\nAnswer: -53325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -465, 0.1, 0.66552 in increasing order.\nAnswer: -465, 0.1, 0.66552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3354 less than 474?\nAnswer: 3828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 13) to base 5\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 54\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.22 + 0.1. Let x = c + -0.028. Let w = 0.06 + x. What is w rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*f, 2*o = o + f. Let q = 12 + o. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -66.\nAnswer: -19\/66","meta":{"dup_signals":{},"source":"arithmetic__div_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: Sort 1, -5, -85, 4, -7, 10 in ascending order.\nAnswer: -85, -7, -5, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 + 9*a**2 - 7*a - 7. Let q(i) = -i**3 - 4*i**2 + 3*i + 3. Let k = 33 - 26. Suppose 3 = n + 5*h, -15 = n - 6*n + 3*h. Give k*q(z) + n*u(z).\nAnswer: 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20.3 in 3, -0.3, -3, 5, -1\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 4*b**2 + 2*b - 8. Let k be f(4). Let n be (-4)\/(-4)*k\/(-2). Let h = 56 + -54. Sort n, h, -0.2 in decreasing order.\nAnswer: h, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u + 11. Let q(x) be the second derivative of -5*x**3\/3 + 8*x**2 - 2*x - 10. Determine 7*j(y) - 5*q(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/16*(-104)\/(-364)*-9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/9)\/(w*(w*w\/(w\/w**(-3\/14)))\/w)*(w\/w**(-9))\/((w**(-14)*w)\/w) assuming w is positive.\nAnswer: w**(2953\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -1 + 0 + (-10 - 4) + 19.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -11*v**8\/56 - 2*v**4\/3 - 8*v. Find the third derivative of y(h) wrt h.\nAnswer: -1320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/4*(-928)\/(-1624)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 3*q - 3. Let r be f(-5). Differentiate -7 + 0*h**3 + r*h**3 + 0*h**3 with respect to h.\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + -6 + 15 - -7321.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174870 = 170*o - 179970 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 459 - 460. Let j(h) be the first derivative of h**2 - h + 228. Give j(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 20*s = -1700. Calculate the remainder when s is divided by 70.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k - 2. Let y be f(2). Let a(l) = 2*l - 44. Let j be a(28). Solve -i + 5*t = -y, 3*i - 7*t + 4*t = j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0*p**4 + 0*p**6 + 0*p**3 + 0 + 4*p**2 + 1\/20*p**5 + 1\/168*p**8 + 0*p + 0*p**7. Find the third derivative of b(r) wrt r.\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**2 - 46*i - 96 = 0.\nAnswer: -2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0872 and 0.1.\nAnswer: 0.00872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 9*s - 7. Let x be c(-7). Let b be 8\/x + 82\/7. Let y = 18 - b. Solve -3*w = -y*w - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14798164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397580346 to the power of 1\/2, to the nearest integer?\nAnswer: 37384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**8\/20160 - 7*c**5\/60 + c**2. Let k(y) be the third derivative of d(y). Let x(h) = -11*h**2. Determine k(x(j)).\nAnswer: -121*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 34 - (-14 - (-7 + 2))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.5 - 34.72. Let t = 29 + a. Round t to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 381 + -377.93. What is l rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -x - 210. Suppose -5*u = -2*u - x. Calculate the remainder when ((-6)\/75)\/(-1) + (-34782)\/(-850) is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 3*u**4\/16 - 35*u**3\/4 + 36*u**2 + 1575. Factor r(f).\nAnswer: 3*f*(f - 32)*(f - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**5 - q**2 - q - 1. Let c(m) = 6*m**5 + 2*m**4 + m**3 - 5*m**2 - 5*m - 5. Let s(l) = 10*a(l) - 2*c(l). Factor s(j).\nAnswer: -2*j**3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185\/836 - -3\/76. Which is the closest to 1? (a) 0.2 (b) 1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*r + 103*r - 342. Suppose 2*x + 5*h = 91 + r, -5*h + 490 = 5*x. What is the greatest common divisor of x and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112.7 + 99. Let c = 2 - 9. Let a = c - h. Round a to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76487.66 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3630031 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (413\/(-5))\/(-7) - 77\/7.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r - 44. Let f(j) = 14*j + 66. Let x(a) = 8*d(a) + 5*f(a). Let n(q) = -8*q**3 - 6*q**2 + 6*q - 1. Let c be n(1). Let k be x(c). Is 0 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21293591 equal to 21293594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27721193.\nAnswer: 179, 251, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + b = 3*b + 46, -r - 4*b = 4. Suppose -r*u + 17 = -7. Suppose -41 = -5*h + 4*x, 10 = 5*h - u*x - 27. Solve -h*l = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120430 (base 8) to base 6\nAnswer: -514532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4 - 6202*j**3 - 6589710*j**2 - 2573371022*j - 185660972968 = 0.\nAnswer: -1003, -92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.59 - 1.5. Let v = 0.085 - b. Round v to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. Let w(h) = h + 1. What is the units digit of w(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69165, 138122, 207079, 276036, 344993, 413950?\nAnswer: 482907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*s - 4*s**2 + 2*s**2 + 18*s)*(5*s - 4*s + 2*s)*(-3 + 3 - 2).\nAnswer: 12*s**3 + 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711116?\nAnswer: 2, 7, 109, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -164138780 divided by 10\nAnswer: -16413878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 473155875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34350053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -5946763\/48?\nAnswer: -5946763\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 178, -0.2, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -17*w**4 + 22625*w**3 - 7218224*w**2 + 13501884*w + 1688400 = 0?\nAnswer: -2\/17, 2, 525, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gty. What is prob of sequence ty?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 27504457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k = 2*n - 8, -4*n = 5*k - 13. Which is the nearest to k? (a) -1\/5 (b) -2\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 0*t - 7*t + (-1 + 1 - 2*t)*(-2 + 4 - 3) + (1 - 1 + 2*t)*(-21 - 37 + 9) to a*t + q and give a.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.680876 + -31.\nAnswer: -31.680876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 + 81. Suppose -k - a = -6. Let m(j) = -j + 1. Give m(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -885 and -0.5.\nAnswer: -885.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22878950 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 593.8254 + -0.2254. Round r to the nearest ten.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-20100)\/(-1824) + 4 - 15) - 0.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {x: 1, v: 1, j: 2, w: 2, p: 3, e: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -2. Suppose 19 = 5*d - g, -m*d + 5*g + 27 + 8 = 0. Suppose 5*z + 3*o = 433, -d*o - 101 = -z - 0. What is the remainder when z is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from {p: 3, z: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -51. Let i = 5 + -9. Let k = f - i. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/11)*k)\/(k*k**19) assuming k is positive.\nAnswer: k**(-200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**4 + 282*r**3 + 1017*r**2 wrt r.\nAnswer: -48*r + 1692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1700)*2.\nAnswer: -1 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 2104554193?\nAnswer: -2104554204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2)*n*n*n**(-1\/25) assuming n is positive.\nAnswer: n**(-1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 338 - 338 - 19*d**2 + (2*d + 0*d + 0*d)*(-2*d + d + 2*d).\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(-5*2*sqrt(7)))**2.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 - 39*v - 135. Calculate c(-14).\nAnswer: 999","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22000 (base 3) to base 4.\nAnswer: -3120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, g: 1, y: 1, t: 1, p: 2, f: 1}. Give prob of picking 1 g and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 5\/4 (c) 10 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 5*u - 9. Suppose 23 = h - 5*y, -h + 3*y + 9 = -8. Give l(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2026 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + f = 3*f - 10, -25 = h - 5*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a**3 + 3*a**2 + 4*a. Let t be k(-4). Suppose 2*r - 19 = -l + 23, 2*l - 4*r = 52. Calculate the highest common divisor of l and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18736 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 0*h + 0 + 2*h**2 - 1\/120*h**6 - 1\/60*h**5 - 1\/12*h**4 - 1\/6*h**3. What is o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than 75138\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2. Let c(b) = -3*b + 9. Let k(m) = -m + 2. Let a(i) = 2*c(i) - 9*k(i). What is a(w(n))?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 0 + 1)*(5*z - 3*z + z) + 0*z + 4*z - 3*z)*(-9*z**2 - 3*z**2 + 42*z**2)*(-2*z + 12*z + 0*z) as p*z**2 + n*z**4 + d*z**3 + b + x*z and give n.\nAnswer: -1500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1.59.\nAnswer: -1.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 9*m**2\/2 + 71. Let x(q) = -2*q + 2. Let z(w) = -2*w + 3. Let n(g) = 3*x(g) - 2*z(g). Determine n(y(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-5) + 22\/10. Suppose -5*j + 33 = -3*o, -o = -p*j + 4*j - 22. Let t = 11 - j. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**4 - 72032*r**3 - 618747068*r**2 + 537161712480*r - 111221602560450 = 0.\nAnswer: -18413, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 6443?\nAnswer: -6442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*q + 23 = 267 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 10:27 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (-28 - (-21 - 16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1872) - sqrt(1872))*6 + -1)**2 + -3*(sqrt(52) + sqrt(1872) + sqrt(52) - sqrt(52))**2 + 5.\nAnswer: -7590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 25*v - 20. Calculate h(23).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 - (1 - 23) - (-5 - 14 - -10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -553 + 550. What is the nearest to -1 in -0.4, 0.1, t, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01758137478 rounded to 6 decimal places?\nAnswer: -0.017581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100101001111 (base 2) to base 9.\nAnswer: 8788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-9)*12\/10. Let z = 23 - 23.04. Let g = -0.1 - -0.1. Which is the nearest to g? (a) z (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80321433?\nAnswer: 3, 79, 338909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 777602308 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 100002221212?\nAnswer: -100002221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -630, -2482, -5552, -9840, -15346, -22070?\nAnswer: -30012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eppbpppppmpemp. Give prob of picking 3 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1990975 and 3472.\nAnswer: 31855600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10279706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + (-660)\/(-170)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -23.\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 a factor of 258473037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 272896, -3\/5, 5 in decreasing order.\nAnswer: 272896, 5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -2*a - a. Let h(d) = -110*d - 3169. Let k be h(-29). Is a greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l - 2 + 6*l + 2*l**2 + 3 in the form h + k*l**2 + v*l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 + -6 - -13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 14203?\nAnswer: 14203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 0*s**4 + 0 - 2*s + 1\/2*s**3 + 0*s**5 - 2\/15*s**6 + 0*s**2. Find the second derivative of i(x) wrt x.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47784.\nAnswer: 2, 3, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8*s = 12. What is the greatest common factor of s and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r**2 - 16*r - 7. Give x(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 335 and 13?\nAnswer: 4355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6661 - 2.6661. Which is the nearest to m? (a) -0.2 (b) 4 (c) -2\/7 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0260321nm in millimeters?\nAnswer: 0.0000000260321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, -2, 5, 556, -14, 0 in decreasing order.\nAnswer: 556, 5, 0, -2, -14, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/11)\/k)**(13\/3) assuming k is positive.\nAnswer: k**(26\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*s**2 + 117*s**2 + 151*s**2 + 214*s**2 - 769*s**2.\nAnswer: -114*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1406*y + 107*y**3 - 126*y**3 + 1387*y + (0 + 3*y + 0)*(2 - 2 - y**2) + 6*y**3 + 0*y**3 - 4*y**3.\nAnswer: -20*y**3 - 19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {z: 1, s: 7, x: 12}.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 32 = 23. What is the greatest common factor of y and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 867213.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -13*i**4\/3 - 1711*i**3 - 57853*i**2\/3 + 144079*i - 65110\/3 = 0.\nAnswer: -383, -17, 2\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -414\/11 in -0.21, 70\/29, 0.4?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39910 and 475850.\nAnswer: 6186050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssseksk. What is prob of sequence ek?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.198749 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.944 + 2.944. Which is smaller: 0.088 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o - 5*o + 4*o)*((0 + 0 + 1)*(2*o - 2*o + o) - 10*o - 22*o + 40*o) in the form v + l*o**2 + x*o and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, y: 2, j: 2}. What is prob of sequence ssys?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35344 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - t - 70 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/42267316 and -131\/696714.\nAnswer: 126801948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 211*o + 161. Let x(z) = 177*z + 160. Determine -5*b(g) + 6*x(g).\nAnswer: 7*g + 155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-5) + 1358\/(-5). Let q be 3*1 - w\/8. Let z = 67 - q. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*(2*sqrt(1584) + sqrt(1584)))**2*1.\nAnswer: 356398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*h + 144*h - 325 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.55 + -3.5919. Round j to three dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3 + 6*y**2 - 8*y = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.509 or -13\/17?\nAnswer: -13\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 357 + -277. Let m = f + -63. What is the remainder when 184 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*t - 4 = 2*t, 0 = 4*i - 4*t - 8. Suppose -i*u - u + 120 = 0. Calculate the highest common factor of u and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 554 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22\/31? (a) 0.2 (b) -12 (c) -3 (d) -4 (e) 162 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23163 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + (-3 + 3 - 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75700 and 70600.\nAnswer: 53444200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -80615, -80565, -80515, -80465?\n\"Answer: 50*t - 80665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*r + 400, -4*l + 5*r = 229 + 91. What is the common denominator of -91\/18 and (625\/l)\/((-6)\/(-8))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284 + 104. Let g = -140 - z. Calculate the least common multiple of -1 - (-5 + (-1 - 0)) - -2 and g.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1787053777 to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 428*u. Let l(i) be the first derivative of 14*i**3\/3 - 496. Give p(l(q)).\nAnswer: 5992*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(sqrt(1400) + 2*sqrt(1400)) + sqrt(1400))\/(sqrt(288) - 2*sqrt(288)*-2)*-5.\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0*h**4 - 12*h - 3\/2*h**2 + 2\/3*h**6 + 0 + 0*h**5 + 0*h**3. Differentiate s(x) wrt x.\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3057 is divided by 80?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 6:21 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 16*j**2 + 6*j + 20. Let r be (-33)\/6 + 9\/(-6). What are the prime factors of a(r)?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6399620085?\nAnswer: 3, 5, 37, 443, 26029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p**2. Let u(n) = 33*n. Give u(l(v)).\nAnswer: 264*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -5.7. Which is the third biggest value? (a) 0.5 (b) z (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9782, 9768, 9754?\n\"Answer: -14*p + 9796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 37 = 4*q, -2*t = -6*t + 2*q + 32. What is the smallest common multiple of t and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2569 - -3322. Calculate the highest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(sqrt(220)*2*3 - sqrt(220)))\/((sqrt(66)\/sqrt(2))\/sqrt(3) + -6*(sqrt(11) + sqrt(11)*-2 + sqrt(11))).\nAnswer: -180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -106*((-8)\/(-32))\/((-2)\/(-4)). Which is smaller: o or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*h**4 + 8\/9*h + 2\/3*h**2 - 8\/9*h**3 - 8\/9.\nAnswer: 2*(h - 2)**2*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m + 116 - 305 = 0. Solve -3*t - m = 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(2736)*2 + 3))**2.\nAnswer: 192*sqrt(19) + 10960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 10:02 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(720) + 2)**2*6 + -1 + (sqrt(80)*2)**2*-1.\nAnswer: -288*sqrt(5) + 4023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.2 (b) 0 (c) 0.2058469 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-93))\/(1620\/1215).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 64 = -q, 3*q + 2*p = 8*q - 212. Suppose 5*b - 4*u - q - 59 = 0, 4*b + u = 95. Solve -8 = -3*g - b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35532763.4 rounded to the nearest ten thousand?\nAnswer: 35530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*l + 5*r, 9*l - 40 = 5*l + 4*r. Sort -1, -19, l in decreasing order.\nAnswer: l, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29071\/11 - -2643. What is the closest to -41 in -3\/2, -0.02, t?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -2) + -1 - -2. Suppose -3*r - 2*o + 35 = 3*o, 4*o + 4 = s*r. Are r and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6854 <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9295, -9293, -9281, -9253, -9203, -9125, -9013?\n\"Answer: x**3 - x**2 - 2*x - 9293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(300) - (-1 + sqrt(300)))*-1 + sqrt(300) + (sqrt(300) - (-1 + sqrt(300))) + 5)**2*3.\nAnswer: 120*sqrt(3) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27503, -55009, -82513, -110015?\n\"Answer: n**2 - 27509*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3380 = 47*y - 41497. Is 34 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000364921995 to 7 decimal places.\nAnswer: 0.0003649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/3 - 16348*i\/3 - 16352\/3.\nAnswer: 4*(i - 4088)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*r + 2*b - 374, 5 = b. Does 6 divide (-7)\/(-35) + r\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-126)\/(-15) - 4\/10. Let f(s) = -5*s + 47*s**2 - 13 + 43*s**2 - 89*s**2. Let r be f(z). Solve -10*c + 5 = -r*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*l - 28, -18 = 3*g - 4*g + 3*l. Suppose -k - 20 = -g*k. Solve -3 = -k*m + m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + f + 0 + (-3 - f + 3)*(-2 + 0 + 1))*(12 - 12 + 8*f).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -bd80ab7?\nAnswer: bd80ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -5827 (b) -19 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 1 + 1)*(x - 2*x + 2*x) + (3*x - 2*x + 3*x)*(-3*x - 5*x + 5*x).\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12bcc1 (base 14) to base 15.\nAnswer: cbc26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/7 in -2, 516, 108?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**4\/6 - 5*m. Let f(w) be the third derivative of -3*w**5\/20 + 3*w**2. What is f(g(n))?\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j - 15. Let i(c) = 1 + 2 - 2*c - 5 - 5. Let a = -3 - -7. Let p(t) = a*u(t) - 9*i(t). What is the first derivative of p(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let c(y) be the first derivative of -2*y**3\/3 - 1. Calculate d(c(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 10250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/21*546\/(-390)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 3*m - 10 + 6, -4*m = -4*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(((w*w**10)\/w)\/w*w))\/w)\/(w\/w**(2\/3)) assuming w is positive.\nAnswer: w**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**3\/6 + 2*h**2 - 15*h. Is g(6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyxy when four letters picked without replacement from xazaayaz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l + 3. Suppose 5*x + 0*x - 20 = 0. Calculate the remainder when 12\/x + -2 + 34 is divided by h(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132592257 divided by -6313917?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8514 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2049106676.\nAnswer: 2, 512276669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 + 12*g**2 + 12*g + 9. Determine d(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155641973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53667 (base 8) in base 3?\nAnswer: 1010210200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 4 + -4 + 0 + -5 + 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/b*b)\/b*b\/b**(-2\/23) assuming b is positive.\nAnswer: b**(117\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -41*r + 8. Let z be l(0). Calculate the greatest common divisor of 14 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1. Let p be l + 0 + (5 - 7). Let b be (1 - -2)*(-2)\/p. Solve -2*o = 4*z + 2*o - 36, 0 = b*z - 3*o + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(11) + -1 + -2 + (-2 + sqrt(162) + 2 + 3)**2.\nAnswer: 56*sqrt(2) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -10011011101011010?\nAnswer: -10011011101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 7*a - 212. Suppose 4*i + 3*h = 76, h - 2*h - 38 = -2*i. What is the remainder when a is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 491*r + 233. Let g(d) = -4*d**2. Determine v(g(a)).\nAnswer: -1964*a**2 + 233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 7*o**3 + 0 - o - o**3 - 6 as p*o + m*o**2 + r + a*o**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3\/8, 0.1, -2, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2\/17, -31, -19 in decreasing order.\nAnswer: 1\/4, -2\/17, -19, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106 + 260 + 224)*(t - 4*t**3 - t)*(3*t + 4*t - 4*t).\nAnswer: -7080*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 - -1.14. Which is smaller: -2\/3 or f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1199*u**2 - 161087 + 161087 to the form h*u + k + b*u**2 and give b.\nAnswer: -1199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(0 + (-2)\/(-16)). Let d = p - -1. Let l = 0 + d. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/14*8316\/396?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 22 = 26*f. Solve -5*y + 16 = -f*b, -7*y + 3*y - 4*b + 24 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15204 + 15204.14. Let v = 15 + -15.4. Put v, q, 3 in descending order.\nAnswer: 3, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -615 + 488 - (-15 + -76)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/((-10)\/((-280)\/12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from rfkuj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -347190000 to the nearest one million.\nAnswer: -347000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f - 2366 + 1766 = 0 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 268 = -4*f, -3*f - r = -0*f - 185. Suppose 4*y - 24 - 8 = 0. Let c = 15 - y. What is the highest common divisor of c and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 39*i**2 - 3*i. Let y(l) = 67*l**2. Calculate h(y(z)).\nAnswer: 175071*z**4 - 201*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 188 = -3*p. Suppose 111 - 319 = -2*i. Suppose 0 = 3*n + 5*q - 92, -5*n = -2*q - 2*q - i. Calculate the remainder when p is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 381384, 381384, 381390, 381408, 381444, 381504?\n\"Answer: t**3 - 3*t**2 + 2*t + 381384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109649\/360 + -1522\/5. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -15. Suppose 4*t + 66 = g + 319, 3*t = -5*g + 161. Suppose t = -v*f + 788. What is the highest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5*o - 10, o - 1 = -j + 3. Suppose j*q + 16 = -4*c + 57, -3*q = 4*c - 23. Solve 1 = 2*v + q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15*3*4\/30. Let q(v) = 2*v + 1. Let l be q(1). Let h(u) = 4*u - l + 3*u**2 - 2*u**2 + 0. Calculate h(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 15. Suppose 0 = 2*m - 8, -4*r + 0*m + 2*m + 40 = g. Calculate the remainder when r is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 174*b + 991. Calculate the remainder when 788 is divided by q(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-1881) + 2\/(-19)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*c + 11 - 3 - 4 - 32 + 4*c**2 to n + s*c + p*c**2 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 6 = -5*w + 13*w + 3*r, 6*w - 4*r - 8 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.0535.\nAnswer: -0.2675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -15204*k - 121667. Give v(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-46)\/(-8) + 24\/(-32). Solve -w*i = -i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.178 kilometers in micrometers?\nAnswer: 38178000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*i = 30, -13*i + 26 = -2*s - 18*i. Factor -2\/3 + 12*f + 144*f**3 - 72*f**s.\nAnswer: 2*(6*f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -5*s**6\/32 - 17*s**5\/120 - s**4\/32 - 363*s**2. Let r(z) = 0. What is z?\nAnswer: -1\/3, -3\/25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*h + 2*b - 6*b, 0 = -4*h + 4*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**5\/20 + u**4\/12 + 15*u. Let p(j) = -j**3 + 17*j**2 + 27*j + 13. Let w(x) = p(x) - 2*s(x). Solve w(q) = 0 for q.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-102) - (-729)\/17. Suppose 2*f = z - 26, 4*f - 4*z + 13 = -x. What is the remainder when 29 is divided by 1746\/108 - (-2)\/f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*z + 3*u - 11, -5*u = 2*z + 1. Suppose -5*a = -2*s - 2*s - 32, z*a = 2*s + 14. Factor 2\/3*c**a + 0*c**2 + 0*c**3 + 0*c + 0 - 2\/3*c**5.\nAnswer: -2*c**4*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89\/(-651480)*75)\/(5\/(-48)).\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:06 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 522 + 84. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 - 5*f + 3. Let j(w) = -16*w**2 - 7*w + 5. Let s(c) = -4*j(c) + 9*q(c). Calculate s(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 902.84 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 100\/35)*7 - 15\/(5625\/2190).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/11? (a) 100\/3 (b) 7\/4 (c) 0.5 (d) 1\/8 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (162\/(-10))\/3 - 18\/(-45)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*h - h. Suppose z - 3*r - h = -4*r, 8 = 4*z - 3*r. Suppose -j - o = -5, 3*o + z*o = -4*j + 25. Solve j = 5*v + 4*l - 1, v - 2*l - 7 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let o = 25 - 373\/15. Which is greater: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 22243.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 82341035.\nAnswer: -2\/82341035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f**2 + 7*f**2 - 4*f**2.\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11124 divided by 618?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*x = -149*x - 350. Let r = x + 38. What is the lowest common multiple of r and 55?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0)*1\/(-5). What is the second smallest value in 3, y, 0.5, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 67971?\nAnswer: -2\/22657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-2\/57)*d\/(d*d**(-25))*(d\/(((d\/(d*d\/(d*(d*d**(3\/7))\/d)))\/d)\/d))**5 assuming d is positive.\nAnswer: d**(15490\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, 1, -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -53280 divided by -6660?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.789 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*m**2 - 5*m**3 - 200*m - 131*m**2 - 4 - 56*m**2 + 4 = 0. What is m?\nAnswer: -40, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.235776596849+-0.03\nAnswer: -8.265776596849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -130333 (base 9) in base 15?\nAnswer: -18620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 411\/45 - (-3)\/(-9). What is the smallest value in u, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -384*t + 55690. What is s(145)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v*v**(1\/9)*v)*v))\/v**(-7))\/((v*v**(3\/7)*v)\/(v**(4\/9)\/v)) assuming v is positive.\nAnswer: v**(386\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/(-8)*2*(-14 + (-10142)\/(-726)). Solve 11250\/11 + g*l**2 + 300\/11*l = 0.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v*((v*v**(-1\/4))\/v)\/v*v*v*v)\/v))\/v**(3\/8))**(-41) assuming v is positive.\nAnswer: v**(697\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.8 - 19. Let s = 6.3 + -4.4. Let u = 2.2 - s. Which is the third smallest value? (a) u (b) p (c) 0.02 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904829 = -15*h - 904574 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 125 = -80*l + 8*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/56)\/((-123)\/(-656))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102827 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -416015, -832010, -1247977, -1663904, -2079779, -2495590, -2911325, -3326972?\n\"Answer: 2*g**3 + 2*g**2 - 416015*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-40)\/(-32) + (-3)\/(-24)*92670.\nAnswer: 5, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, 4\/15, 3?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 4*a, -39 = -3*x + a - 43 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n + 22. Let v be j(-18). Let k = 57 - v. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 3:44 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(114) - -2*sqrt(114)))\/(sqrt(42)\/((sqrt(7)*2 - sqrt(7)) + sqrt(7))))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -530256.362 rounded to the nearest one hundred?\nAnswer: -530300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*b**3 - 11*b**3 + 206*b + 50*b**3 to l*b**3 + d*b + i + t*b**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f + 4*r, -f + 5*r - 17 = -0*f. Let c = -2 + 2. Suppose 0 = p - c - f. Which is greater: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*p - 78516*d**3 + 26777*d**2*p + 2*d**2 + 3*p - 2 wrt d.\nAnswer: -6*p - 471096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 2 - 1)*(6 - 3 - 2) - 2 + 4 - 3)*(-989*c**2 - 1171*c**2 - 869*c**2) to f*c**2 + i*c + p and give f.\nAnswer: 12116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 269, 282, 299, 320, 345?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.7 and -56324.\nAnswer: 264722.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1613 - -481. Suppose -8*c + h + 82 = 0. What is the remainder when c is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11318 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 - j - 1. Let l = 2 + -4. Let s be y(l). Suppose 3*o + 3*m - s = 0, -3*o - 2*m + 6*m + 7 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {o: 5, t: 2, n: 9, l: 3}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49116 + 49116 + 2*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-171)*3\/(-2). Suppose 1 = -j - 0*j. Is k at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7989.887ml to litres.\nAnswer: 7.989887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.61 - -4.61. Which is the nearest to v? (a) -3\/5 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3293606, 6587219, 9880834, 13174451, 16468070, 19761691?\nAnswer: 23055314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.87169kg in nanograms?\nAnswer: 19871690000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2685844832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 8:54 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 85?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**4\/7 - 36*v**3\/7 - 177*v**2\/7 - 234*v\/7 - 96\/7 = 0.\nAnswer: -2, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 459 + -467. What is the third smallest value in 2\/5, s, -3\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21996992, -43993986, -65990980, -87987974, -109984968, -131981962?\n\"Answer: -21996994*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbrw when four letters picked without replacement from rnwrrnrnrnrrrrbnnnr.\nAnswer: 35\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 34. Suppose 4*l - 29223 - 14669 = z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 1\/2*b**2 + 0 - 110*b = 0.\nAnswer: 0, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -5. What is the smallest common multiple of -1 - ((-14)\/7)\/(5\/5) and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2820 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + -0.1. Let i = 1.8 + v. Let z = 1.5965 - i. What is z rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppppqq. Give prob of picking 1 q and 3 p.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 109, 118, 127?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 11:51 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.188 - 1.588. Let m(u) = 2*u**2 + u. Let w be m(-1). What is the third biggest value in -2\/3, b, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/(-8 - -10).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 3*n = -20*d + 63, 5*n = 2*d - 21. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6305*w - 1 + 379*w**2 + 6305*w.\nAnswer: 379*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52, -34, -16?\n\"Answer: 18*z - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5761*a + 637. What is the hundreds digit of s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*z + 10. Let r = -14 + 15. Let l be (-6)\/10 + (-69)\/(-15) - r. Solve -1 = -l*f + z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -165*i**2 + 165*i**2 - 13*i**5 + (1 + i - 1)*(-4*i**3 + 4*i**3 + 2*i**4) - 89*i**5 - 3*i**5 + 32*i**5.\nAnswer: -71*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 494795, 989616, 1484435, 1979252, 2474067?\nAnswer: 2968880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12072148 or 12072140?\nAnswer: 12072140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - c - 19. Suppose 0 = 3*k + 5 + 34. Let j = k - c. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 34*d**3.\nAnswer: -2*d**3*(2*d - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44250)\/(-175500) + 8\/(-26).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 7 + 1 - -4) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 2:59 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 147969 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 3*i**2 - 2*i**2)*(0 + 2 + 3).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 6*f**2 + 5*f + 14. Determine q(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 times -333?\nAnswer: 14652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22043049 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4 + 234*k**3 + 10944*k**2 - 680298*k + 669123 = 0. What is k?\nAnswer: -57, 1, 43, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -33729786 divided by -2?\nAnswer: 16864893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 16, -21, -4, -2 in decreasing order.\nAnswer: 16, -1, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -8255?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1742\/78)\/((-33)\/18 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 11. Suppose 4*a - 3*b = 37, -t*a + 3*a - b + 31 = 0. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*y**2 - 3*y**3 + 132*y**2 - 5 - 66*y**2)*(-3*y + 4*y + 24*y).\nAnswer: -75*y**4 - 25*y**3 - 125*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380541?\nAnswer: 59, 23399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80625 - -80624.67621. What is z rounded to two dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:45 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 2*y + y)*(-y**2 + y**3 + y**2) - 5*y**2 + 5*y**2 + y**4 in the form s + g*y**3 + t*y**2 + v*y + u*y**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 - 11 = 0. Suppose 2*d = -d - x*d. Solve d = 4*w + w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/(-12) + 0 + 3. Which is the nearest to l? (a) -0.5 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*p - 10 = -3*h - 179*p, 13 = 2*h + 3*p. Let s be 1 + 0\/2 - -4. Solve -s*j + 20 + h = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1791, 15738, 54693, 131508, 259035, 450126, 717633, 1074408?\nAnswer: 1533303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3135.69ug to tonnes.\nAnswer: 0.00000000313569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402, 429, 460, 483, 486, 457, 384?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 58, -1\/79, 6, -1\/26, -1\/9?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 1 - 1)*(12 + 43*a + 64*a - 12).\nAnswer: -214*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*r**2 + 1708*r - 44 + 44 - 40*r**2 - 1708*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = s - 1642, 5*s - 8194 = 6*p - 4*p. Let t = s - 823. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 235?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -71, -82, -97, -116, -139, -166?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 586 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q**2 - 2*q**2 - 3*q**2)*(8*q - 2*q + 9*q) + 4 - 4*q**3 - 164*q**2 + 164*q**2 as u*q + r*q**2 + c + s*q**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -27. Suppose 3*i + 62 - 26 = 0. Let t = i + 18. Which is smaller: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 21 = -v, 7 = -3*a + 4*v - 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + 6*a**4 - a**4)*(-2 - 1 + 2 + (-3 + 2 - 1)*(1 - 1 + 1) - 2 + 0 - 1 + 0 + 7 + 0 + (2 - 2 + 1)*(3 + 0 - 4) + 10 - 5 + 25).\nAnswer: 60*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)\/(4*(-2)\/(-136)). What is the nearest to j in 1, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + 17 + (14 - (-2 + 2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-334 + 51*u + 667 - 334)*(18*u - 5*u - 31*u) to the form s + z*u**2 + o*u and give z.\nAnswer: -918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 2*p + 2. Let q be w(-3). Let f be (q + 5)\/((-2)\/(-2)). Solve 0 = 2*v - f - 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301 (base 8) in base 5?\nAnswer: -1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 9 (c) 5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4) - 2)*6. Suppose 0*o - s = -5*o - 23, -3*o = s + 9. Let g be 76\/(-20) - o\/(-10)*-2. Is g greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -459 + 459. Solve q*j - 5 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9058152 + 4?\nAnswer: -9058148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*g + 40*g - 1710 = 84*g - 171*h, 4*g - 7*h + 44 + 26 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 16, -2685\/2, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 432278207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -286303*h**3*s**2 - 9*h**2*s + 3*h*s**2 + 244*h wrt h.\nAnswer: -1717818*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 9*f + 21. Calculate w(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q - q + 4*q + (-2*q + 3*q + q)*(-1 - 1 - 1) - 3*q + 2*q + 3*q - 2*q - 5 + 13 + 2.\nAnswer: -7*q + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73534.\nAnswer: 2, 36767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10708, 21415, 32124, 42835, 53548, 64263, 74980?\nAnswer: 85699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 - -15.25. Let i = -17 + m. What is the closest to 2 in -0.2, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7707*r**2 + 19047*r**2 + 6610*r**2.\nAnswer: 33364*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 643, 1288, 1933?\n\"Answer: 645*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*b + 125*b + 3*x + 215 = 69*b, 3*x + 8 = -7 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(17)) + sqrt(425)*6)**2.\nAnswer: -500*sqrt(17) + 10725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012505 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6*-3 - -1. Let x(t) be the third derivative of v - t**2 + 0*t - 1\/6*t**3 + 0*t**4 - 1\/30*t**5. What is the derivative of x(a) wrt a?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 19*j**2 - 212*j - 4137. Let k be z(-18). Put k, -4, -0.24 in decreasing order.\nAnswer: k, -0.24, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzm when three letters picked without replacement from phhpspshzhsspmh?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, z: 1, x: 8, g: 3, a: 1, r: 1}. What is prob of picking 1 a, 1 x, and 1 g?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 463396344 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b - 6. Let n be b + (2 - -1 - -54). Find the second derivative of 67*h - 4*h**3 - n*h - 7*h**3 wrt h.\nAnswer: -66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 17*j**2 + 9*j + 2. Let p be z(-9). Suppose p*d - d = -0*d. Solve d = -4*b + 7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 + 9*g - 32. Let x(c) = -c. Give x(a(y)).\nAnswer: -3*y**2 - 9*y + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 549*c + 5017. Calculate t(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, o: 4, b: 4}. What is prob of sequence uo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11651641.1 + 0.05.\nAnswer: 11651641.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*f + 2*f. Let u = f - 7. Suppose u = -n + 4*n. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 4*c**2 + 6*c - 5. Let d(w) = w**2 - w + 1. Suppose 0 = 2*t + 10, -4*o + 3*t = 592 + 833. Let z = o - -366. What is z*d(y) + p(y)?\nAnswer: -2*y**3 + 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Suppose -3*d - c = -15. Suppose -3*v = 5*a - 16, 2*v + 2 = d*a - 2. Let h(g) = -9*g - 7. Let m(o) = 3*o + 2. What is a*h(p) + 7*m(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/10520 and -37\/1552?\nAnswer: 2040880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*i + 63*i - i**2 + 15*i**3 + 48*i + 1 - 22*i**3 - i**4 as w + a*i + x*i**2 + h*i**3 + k*i**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 - (71 + -74)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**4\/4 + 5901*f**3\/2 + 11689587*f**2\/4 + 40480860*f + 141178800 = 0.\nAnswer: -1960, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zozzozozzz. Give prob of picking 2 o and 1 z.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.48 in 0.5, -3\/11, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6139, -12667, -19181, -25687, -32191?\n\"Answer: -i**3 + 13*i**2 - 6560*i + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21138 is divided by 2730.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2 + 18*m - 49. Let d be c(3). Calculate the highest common divisor of 85 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1101 + -1101.11. Which is the nearest to -0.3? (a) -1 (b) 1 (c) 5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -2, 2, 42, -3 in decreasing order.\nAnswer: 42, 2, -2, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = 0, 5*w - 21 = c - 2*c. Let z = c - -9. Let s be 8\/(-2) - 12\/(-6). Put -3, s, z in descending order.\nAnswer: z, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7321819 is divided by 725.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687 - 456 = 248*x + 97 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -871\/2280 + 2\/285. Let i = -43 - -45. Which is the second biggest value? (a) i (b) q (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128900 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -526*(-1 - 1\/(-2))\/1. Suppose l - 824 = -5*k - l, -4*k + 2*l + 670 = 0. Let d = x - k. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rarrarr. What is prob of sequence ara?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59882 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -391a + -574?\nAnswer: -4292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 145 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -15 - 0) + (-2423 - -2445) + -1 + 71\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + (-61 - (113 + -153))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 27. Let m(h) = 4*h - 58. Let v(z) = -4*m(z) - 9*o(z). Determine v(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**5 - 680*a**4 - 27980*a**3 - 199430*a**2 + 6110545*a - 5882450 = 0.\nAnswer: -49, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, -2, 2, 127, -4 in increasing order.\nAnswer: -9, -4, -2, -1, 2, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 8.169?\nAnswer: 3.2676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 2, -9433?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/13 - 8562*u**2\/13 + 34304*u\/13 + 102840\/13 = 0 for u.\nAnswer: -4285, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 46713750*o - 181847869921875.\nAnswer: -3*(o - 7785625)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 24*o**2 - 47*o + 20. Calculate m(-22).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((3 - 7) + -4) - (-7 + 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5148 and 1947.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 326 - 329. Calculate the least common multiple of (26 - (x - -7)) + 0 and 164.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (-1 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24236 and 913.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -3*v**4\/4 - 5*v**3 + 9*v**2 - 149. Factor f(y).\nAnswer: -3*y*(y - 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1503 - -2770. List the prime factors of r.\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -117, -184, -275, -390, -529, -692?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92922 and 153.\nAnswer: 278766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*x**2 - 100*x + 5*x**2 + 98*x in the form u*x + v*x**2 + k and give v.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/248 - -433\/1736. Let b = 0.02 - 0.1. Let n = 6.92 - b. Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 6*m**2 + m - 15. Let y = 41 + -46. Let b be z(y). Suppose d - 72 = -b*d. What is the least common multiple of d and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7298570 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from dooooodddddo?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -21. Let b be j\/(-5) - (-40)\/(-100). Let a be ((-56)\/21)\/(4\/(-6)). Put -4, b, a in decreasing order.\nAnswer: a, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -4) + 0 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107 - -106. Let h(x) = x**3 - 9*x**2 - 3*x - 1. Let g be h(10). Put s, -3, g in decreasing order.\nAnswer: g, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 24*q**2 - 102*q**2 + 1 - q to the form a*q + g + j*q**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 5 + -3 + (6 - 3 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 - 10\/(-14). Let h be 6\/(0 - 28\/86). Let o = h - -19. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/27*15\/(-20). Let p(m) = 0 - 4 - m**2 - 2*m + 3. Let g be p(-2). Is g greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a + 8. Let w be (3\/(-1))\/(13 + -12). Let d be t(w). Suppose -d - 22 = -4*g. Calculate the highest common factor of 30 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-80)\/(-45) + (-58)\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p = -33*p - 4*t - 30, 0 = -p + 5*t + 23 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065861993 rounded to three decimal places?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqlhqqg. Give prob of sequence he.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llwllblllllnnnlllwn. Give prob of sequence lb.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 6*q + 7. Let a(y) be the third derivative of -y**5\/60 + y**4\/24 + 5*y**3\/2 + 4*y**2. What is the remainder when p(6) is divided by a(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1672.5 - -1672.592. Let h = -0.062 - -0.05. Let w = g + h. Which is the second biggest value? (a) 4 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 58, 64, 72, 82?\n\"Answer: q**2 + 3*q + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34.32 and -505.751?\nAnswer: 471.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6 = -3*v. Let h be (-114)\/(-7) - (-2)\/(-7). Let y be -136*10\/(-140) + (-2)\/(-7). Solve v*k = -2*n + y, -h = 2*n - 5*n - 5*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1264184*o**4*z - 9*o**4 + o*z + 712*o + 39*z - 1 wrt o.\nAnswer: -15170208*o**2*z - 108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a + 11. Let p(r) = -19*r - 16. Let f(i) = 7*j(i) + 5*p(i). Does 3 divide f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6a4cf4 + d?\nAnswer: -6a4ce7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v = k - 9695, 3 = -k. Let g = v - -27053. Suppose t + g = -3645. Round t to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 307*w**2 + 4234*w + 133. Calculate g(-13).\nAnswer: -829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 679085, 679110, 679139, 679172, 679209, 679250?\n\"Answer: 2*q**2 + 19*q + 679064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 723 a factor of 143650701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-36)\/(-27))\/(-2 - 10\/(-6)). Let w(y) = -y - y + y + 1. Calculate w(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1947110.\nAnswer: 1\/973555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 - 27*s + 27*s + 21*s to d*s + k + t*s**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*y + 59 - 615 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3427 - -0.04?\nAnswer: 1.3827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -828, -12, 86, 1, -4.\nAnswer: -828, -12, -4, 1, 4, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/60)\/((-4)\/10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 8*p + 239. Let i(b) = 184*b + 103. Let w be i(p). What is w rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-752)\/(-18) + -9 - 65) + (-4)\/(-18)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/6*3*-14. Let g = 10289\/80 + -649\/5. What is the common denominator of f\/(-24) - (-2)\/(-2) and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34421 (base 16) in base 9?\nAnswer: -355552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15060 + 15057. Put -5, -174, 2\/23, g, -4 in descending order.\nAnswer: 2\/23, g, -4, -5, -174","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 4*b - 2. Let m be t(-3). Suppose -4*k + 2*c = -198, 0 = 3*k - m*c - 95 - 66. Is k a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975867684.\nAnswer: 2, 3, 11, 7392937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 78726, 162396, 246054, 329694, 413310?\n\"Answer: -w**3 + 83677*w - 4950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51841932 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/5 of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120419, -240847, -361299, -481787, -602323, -722919, -843587, -964339?\nAnswer: -1085187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 - 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-40)\/((2 - -1) + (-10008)\/3330)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17122 - 9847. Does 75 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 6*m + 3. Let u be f(-2). Let t(i) = 20*i**2 - 2*i - 5. Is t(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 7*p - 5. Let h be w(8). Let d(v) = 2*v**3 - v**2 + 4*v. Let q be d(h). Factor 2 + q*m**2 + 5 + 67*m**3 + 30*m**4 - 3 + 9*m**5 + 9*m**4 + 24*m.\nAnswer: (m + 1)**3*(3*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 4 - 4)*(3*t - 3*t + t) - 6*t**2 - 34 + 8*t**2 + t**2 in the form m*t + f + r*t**2 and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*g + 40, 3*d - 4*g = 2*d + 28. Let b = 40 - 16. What is the highest common divisor of b and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 8 + 0 + 9 + -15 + -7?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = j + 36. Calculate the remainder when 27 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.717443725 rounded to five decimal places?\nAnswer: -0.71744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 87\/17, -1\/2, -83, 28?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 4 = 4*j. Let k(w) = -3*w + 1. Suppose h = -564 + 562. Let v(d) = -3 + 4 - 13*d + 3. Determine h*v(u) + j*k(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 2529.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-1596)\/24) - ((-96)\/7 - -6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 731631.8 nanograms to micrograms.\nAnswer: 731.6318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**4 + 10*g**3*o + g**2 + 47*g*o + 2*g - o wrt g?\nAnswer: -48*g**2 + 60*g*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.62 (b) 0.4 (c) 32 (d) 15 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - 81. Let z be 4\/(-2)*-10 - (-7 + l). Suppose -88 = 21*h - z*h. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21179 + 21178.95. Sort -0.0369, m, -1\/5 in decreasing order.\nAnswer: -0.0369, m, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 180*p + 1620.\nAnswer: 5*(p + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9843312*n + 9843312*n + 109 - 55 - n**3 + 3*n**3 - 54.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -45 * -4\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110100000101001 (base 2) in base 10?\nAnswer: -59433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -25*w**3 - 15*w**2 - 15*w. Let d(c) = c**3 + c**2 + c. Calculate 15*d(g) + h(g).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(28\/(-21)*(-6)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57 + 45124755?\nAnswer: 45125034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 13580*x - 54256.\nAnswer: -4*(x + 4)*(x + 3391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 5, g: 2, d: 2, l: 2, z: 1}. Give prob of sequence lc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 4173b?\nAnswer: 41739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11205*i. Let j(o) = 47183*o**2. Determine j(r(l)).\nAnswer: 5923921195575*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 = 8*f - 127. Suppose f*p + 9 = 58*p. What is the fourth smallest value in -4, 0.5, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -95 - 73. Let b = 1278 + -1236. Let u = d + b. Solve u*f - 8 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40 - 258*k + 615*k**2 - 594*k**2 + 32.\nAnswer: 3*(k - 12)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 493, 1265, 2669, 4915?\nAnswer: 8213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 1, w: 5, n: 5, c: 7}. What is prob of sequence nhc?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/6, 0.04 in decreasing order.\nAnswer: 5, 1\/6, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 124401.7 rounded to the nearest 1000?\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*2*6)\/sqrt(7))\/(sqrt(77)\/(sqrt(44)*4)).\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*w + 4*s - 11, -3*w = s - 14. Suppose -11 - 28 = -13*i. Solve w*r = i*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1233*h + 2465*h + 4851*h + 10401*h - 1169*h in the form r + d*h and give d.\nAnswer: 15315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2223, -9316, -21141, -37698, -58987, -85008?\n\"Answer: -2366*s**2 + 5*s + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 3*f**2 + 2*f**2)*(-873*f - 15106 + 15106) - 2*f**3 - 3*f**3 + 4*f**3.\nAnswer: -1747*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14446352, 14446375, 14446414, 14446469, 14446540?\n\"Answer: 8*q**2 - q + 14446345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 + -44 + 34)*(-1)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10849 - 5541 = -298*z for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-84)*(48\/(-60))\/(20\/(-25))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Let g = 5 + q. Solve 0 - 2*n**3 + 1\/3*n + 0*n**2 - 8\/3*n**4 - n**g = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -407 - -30524\/75. Let b = x + 77\/150. What is f in f - 1\/2*f**2 - b = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24475988 and 9248.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45541\/7461 - -6\/829. Suppose 4*l = -5*g - 28, g = l - 0*g - 2. Find the common denominator of (-192)\/39 - 3\/l and i.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, z: 1, w: 1, a: 1, e: 1}. Give prob of picking 1 a, 1 z, and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13996 is divided by 319.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26491 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2265715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + 10*g. Let a(c) = 7*c**2 - 20*c. Let q(m) = 2*a(m) + 5*x(m). Let h be q(10). Let s(f) = 5 + 3*f**2 - 3*f**2 + f**3. Give s(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -663, -7, -11\/2, 2\/5 in ascending order.\nAnswer: -663, -7, -11\/2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 979799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2793785, -5587575, -8381365, -11175155?\n\"Answer: -2793790*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 886508941?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-245)\/2 + 3\/(-6). Suppose 0 = 2*d, -5*j - 7*d = -4*d - 1360. Let p = o + j. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*r - 71*r - 11*r + 128*r - 18*r**2 + 5*r**2 to the form m + l*r + n*r**2 and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001100110 (base 2) to base 11.\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -6)*(-187)\/4. Let w be 1\/4 + 76\/16. Suppose -5*a - w*d - 17 = -x, -d = -4. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 + 46*a. Let i(q) = 98*q**2 + 40*q**2 - 137*q**2. Calculate i(m(o)).\nAnswer: 16*o**4 + 368*o**3 + 2116*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*b = -15, 3*b = -b. Suppose -j*m = -0*m + 30. Calculate the remainder when 26 is divided by 6 + m\/(-4)*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 8*v**2 + 11*v - 2. Calculate q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7*11\/(-308))\/(175\/28 + -6). Sort 0, 149, 4, -4, g in increasing order.\nAnswer: -4, 0, g, 4, 149","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**5 + 8*x**4 - 180*x**3 - 5*x + 5. Let r(d) = 7*d**5 + 9*d**4 - 180*d**3 - 6*d + 6. Let i(u) = -6*l(u) + 5*r(u). Factor i(y).\nAnswer: -y**3*(y - 12)*(y + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -170544*b**2 + 59754 wrt b.\nAnswer: -341088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = 3*w, -3*w + 9*v - 5*v = -35. Solve w*d = -0*d - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22007.095 rounded to the nearest one hundred?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -7.2. Let z = h - -1.5. Let u = z - 0.70002. What is u rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 4:51 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/x**(-1\/2))\/x*x*x**(-1)\/x)**(2\/41) assuming x is positive.\nAnswer: x**(1\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123*-24.\nAnswer: -2952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-5*g**2 + 0*g**3 + g**3 + 3*g**2).\nAnswer: 2*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6923\/374 - -2\/187. Let n = 19 + p. What is the third smallest value in 4\/3, -5, n?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/8 + 6974*r**2 + 111577*r\/8 - 83685\/4.\nAnswer: (r - 1)*(r + 3)*(r + 55790)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from tmmmmmtamamammm.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1513475 is divided by 291.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24617477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.47 + -20.54. Let g = p - -9. Let m = 0.54 + g. What is m rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 222*c**4 - 797*c**2 - 98*c + 418769568 with respect to c.\nAnswer: 888*c**3 - 1594*c - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 6*f + 5. List the prime factors of s(-5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*s + 380 = 0, 14*s + 200 = 2*o + 10*s. Which is smaller: 62 or o?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 - 32169*r\/2 - 10097780.\nAnswer: (r - 32785)*(r + 616)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -294, -6\/7, -2\/5 in descending order.\nAnswer: 2, -2\/5, -6\/7, -5, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4588 + -4566. What is the remainder when 634 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 35 = 2*z, -2*z + z - 3*w + 10 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*w + 2*w. Let i(c) = c**3 + c**2 - 8*c - 5. Let m be i(-3). Suppose -m = -2*g + w. Let v(j) = j**3 - 4*j**2 + 3*j. Determine v(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287838 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 32 + 5563*a - 5348*a + 42.\nAnswer: 215*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13793 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630637 to the power of 1\/2, to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204)*-2 - sqrt(204))*-5 - sqrt(204) - sqrt(204)) + (sqrt(204) - (-2*sqrt(204) - sqrt(204)))*5)\/(-1*-1*sqrt(300)).\nAnswer: 33*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 17*w**2 + w + 17. Let u be (2\/(-6))\/(2\/(-18)). Suppose u*c - 49 = 5. Calculate the remainder when t(9) is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 325000 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*g + 147*g - 41257 = m, -4*m = -2*g + 27498. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*v**2 + 122*v**2 + 42*v**2)*(v + v + 0*v) in the form h + r*v + x*v**3 + q*v**2 and give x.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 592?\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 8*u = 24. Let d be (26\/(-3) - -2)*(-18)\/u. Let n be (-3)\/(-2) + -1 + 5\/d. Solve 0 = a - 2*s + 7, n*s - 4 = -4*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-15 - (-5 - (1 + 1)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 157, 157, 159, 163, 169?\n\"Answer: a**2 - 3*a + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:21 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y - 8. Calculate c(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29411235 is divided by 2673746?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -629 < -626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2738 a factor of 95348448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1900.01786 - 1900. What is o rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7996875.\nAnswer: 3, 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 107, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9783 - 297.5?\nAnswer: 9485.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -1) + 4\/8*44. Suppose 3*l = -3*n - j, 4*l + 0*l = 5*n - 5. Is 13 a factor of (-4)\/(-10) + (-143)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -49*z + 50*z + 4*x, 0 = 5*z + 3*x + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/15)\/(31\/5 + -1). Which is the nearest to 1? (a) -0.1 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*p - 151, -4*p + 166 - 11 = 3*o. Suppose o = x + 14. Solve 2*l - 2*n + 2 = 0, 0 = -5*l - 4*n - n - x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 7) + -27 + 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6405\/(-7)*((-12)\/(-4) + -2). Let g = -890 - d. Solve 0 = -106*i + 111*i - g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6352?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1346 = -432*u - 2987 + 33177 for u.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 592 and 9916?\nAnswer: 39664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (8 + -3 + (0 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0259 + -45.222.\nAnswer: -45.2479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 8. Let o be n(-9). Suppose -4*x - 5*v = -54, 0*x + 4*x - 2*v - 68 = 0. Which is greater: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4312 by -1078.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + -6 - -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*h + 7, -13 = -5*p + 5*h - 3. Let n be (0 - 2)*p\/(-2). Suppose -4*d + 12 = -28. What is the greatest common factor of n and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5785 - 19349.942.\nAnswer: -13564.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 100100 divided by -325\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i + 17*i + 157*i.\nAnswer: 149*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/9 and -17\/798145.\nAnswer: 7183305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -640227640, -640227642, -640227646, -640227652?\n\"Answer: -g**2 + g - 640227640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.24 and 71.\nAnswer: 71.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 divided by -1165?\nAnswer: -224\/1165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 252485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30331852 or 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 4264 = 4*g - 3*n, 2*g + 2*n = 2130. Suppose -3*j + 844 + g = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 138586.\nAnswer: 692930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/15 - 8*g**2 - 6*g. Let d(l) be the first derivative of i(l). Let n(s) = 21*s. Calculate n(d(y)).\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 295587080?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-24) - 22\/24. Which is the closest to 7? (a) 1 (b) 1\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1817 - 1815.098. Round o to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30052 and 110.\nAnswer: 150260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (897\/1380)\/((-18)\/(-120)).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 7*y - 2. Let m be p(3). Solve 0 = 4*a + 11 + m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 1074*t + 24 = -1079*t, -n - 18 = 5*t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(18\/7)\/i*i*i**(-35))\/(i**6)**(-44))**31 assuming i is positive.\nAnswer: i**(50251\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 13\/4315 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/15*(-17)\/((-510)\/45). Which is the nearest to 3? (a) m (b) 209 (c) -0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/25)\/((-4)\/(-60)))\/(568\/(-2485))\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 2077180?\nAnswer: 2077180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15237.\nAnswer: 3, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 327091357 a multiple of 569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -12*x + 151. Determine m(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.9, 2\/15, 8, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13 + 2 + -5)\/2. Suppose 231 = o - u*a, 0 = o - 0*a + 3*a - 271. Suppose -6*h + o = -2*h. What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 62 = 19*i. Let d = -52 - i. What are the prime factors of (2\/(-3))\/((d\/(-981))\/(-7))?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqw when three letters picked without replacement from eqwmmqcicmiewmq.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2 - -3) + -1)\/3. Suppose m = -2*k - 798 + 6016. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3000 + 3002. Suppose -2*s + 3*s + 3 = 5*a, -4*s - 4*a = -12. Let i(y) = -3 + 5 + 4*y - 6*y + 5*y**s. Calculate i(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-2)*(2288\/(-160) - -11).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1807549\/9 + -200600. Let l = -239 + o. Let i = 13 - 18. What is the third smallest value in i, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(24\/11) + 2. Let a = 2 - 2. Let n = a - -0.3. What is the biggest value in n, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8*x. Let k(q) = -17*q. Let c(o) = -2*k(o) + 3*r(o). Let m(w) = 848*w. What is c(m(j))?\nAnswer: 8480*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**29*l)\/l)\/l**(-2\/5))\/(l*l**(4\/15))**(-1\/8) assuming l is positive.\nAnswer: l**(3547\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m - 56 = -50*m. Let v be 2 + 1\/((-12)\/8). Solve -j + v - 1\/3*j**m = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -60258.28?\nAnswer: 482066.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789119 = 375*d - 776744 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 63?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -489, -1097, -1947?\nAnswer: -3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41574.\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 10*f. Let w(p) = 19*p + 1. Give -5*k(r) + 2*w(r).\nAnswer: -12*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:47 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3864\/504)\/((-6)\/45 + -3 + (-95)\/(-25)).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -45301)\/(-1*1). Let h = -21674 + p. Suppose -4*x - 5*q - h = -q, -4*x + 4*q - 23580 = 0. What is x rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1.77 (b) 0.013 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98655.32 minutes to seconds.\nAnswer: 5919319.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1\/2 (c) 16.801 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-3))\/((-3)\/(-126)). Let d = w + -167\/6. Sort -2\/13, -0.7, -2, d.\nAnswer: -2, -0.7, -2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -3*7) + -1. Suppose n = 2*c + 7. What is the remainder when 20 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/5959836 and -74\/2483265.\nAnswer: 29799180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 35. Suppose w + 0*d - 5 = -5*d, v = 5*w - 4*d. Which is the smallest value? (a) 0.04 (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -5\/174, 3\/7, -231?\nAnswer: -5\/174","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 42*v + 87. What is z(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*f - 26 = 0, 3*f + 11 = k - 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 29 + 27, 2*t = 5*b - 13. Solve -b*i + 8*i + r = 4, -5*i + 5*r = 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-7))\/((-120)\/(-112)). Solve o**2 + 1\/5*o**4 + 0 - m*o**3 - 2\/5*o = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -3\/2, -811, 0.0921, 0.1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4 + 4. Suppose -5*u - 12 + 0 = t, -4*u = -o*t + 18. Let i(c) = -t*c + c + c + 3*c. Let w(f) = -2*f. What is i(w(k))?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*h - 109 = -h, -5*h + 37 = 2*b. Determine f, given that -10 - 54*f**2 + 25*f**2 + 45*f - b*f**2 = 0.\nAnswer: 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -43. Let c(s) = s**3 - s**2 + s + 19. Let d be c(q). Suppose 4*o + 3*f + 7 = 0, 5*o - 2 + d = -f. What is the closest to -1 in -2\/7, o, 2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l**4 + 2*l - 2*l**2 + 8875*l**3 - 8873*l**3 - 2 + 0*l to the form g*l + n*l**4 + t*l**3 + k*l**2 + i and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-42) + 8\/(-28). Let z be 2\/2 - (1 - 0). Suppose z*p - 3*p = 0. What is the nearest to p in 1\/8, -1\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*f - 54 = -y, -117 = -3*y - 3*f. Suppose 5*h = -25, y = -x + h + 4*h. Let k = x + 213. What is the highest common divisor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6)*(0 - (3 + -7)). Is 0.21 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 3. Let k = -3 - p. Let u be (-2)\/(-3)*3\/k. Is u at most as big as 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 426 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 295590975940.\nAnswer: 295590975940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 4*y + (-3 - 4 + 0)*(-4 + 3*y + 4))*(y - 3*y - 4*y).\nAnswer: 144*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5532?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11.5835373 seconds?\nAnswer: 0.00013406871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39 + 78\/18*-3. Calculate the highest common divisor of 624 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*g**4 + 20*g**4 + 16*g**4)*((-3 - 2 + 4)*(-3 - 3 + 0) + 0 + 2 + 0) + 1 - 1 + 4*g**4.\nAnswer: 420*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5326 = 8*x - 90. List the prime factors of x.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2384 (base 13) to base 3.\nAnswer: 20212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/9)*(a**(1\/2)\/a)\/a*(a\/((a*a**3)\/a))\/a*(a*a\/a**(-10))\/a assuming a is positive.\nAnswer: a**(119\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (11 - 9)\/((-2)\/(-33))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 2. Let l be u(9). Let p(d) = -d**3 + 9*d**2 - d - 8. Is p(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 84, 225, 424, 681, 996, 1369?\n\"Answer: 29*t**2 + 54*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -4 - 14\/8. Sort z, -5, -2\/3 in descending order.\nAnswer: z, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(35\/(-70) + (-10)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 26*c - 1134. Let s be b(51). What is the highest common factor of 57 and s?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - n + 2 + (0 + 3 - 2)*(2*n - 1 + 1) + (-2*n + 2*n + 2*n)*(0 + 0 + 2) + (1 - 1 + 2*n)*(-4 - 1 + 2) in the form g*n + y and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5889 - -67150. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 19*b = 423 - 357 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*f + 2*f. Let q(d) = d**2 + 2*d. Let g be q(f). Suppose 0 = 4*a - g*p - 31, -2*a - 3*a + p = -36. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3657070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 8, 6, -14, -58?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9695\/4 + -2469. Let j = y + 45. Let i = 26.8 - 27. What is the nearest to j in 0.5, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4220212 + 11?\nAnswer: 4220223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7210900698652844.99999795 - -7210900983502454. Let l = -284849692 + b. Let a = l - -83. What is a rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from bbbbbbbbdddbbbbb?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*q = 4*a, -5*a + 2*q = 0. Solve -3*x + a = -12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35760572 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8411 - -12746. Let b = s + -2947. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 179 - 179.5. Which is the third biggest value? (a) r (b) -0.4 (c) -1354\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.244 - 90569?\nAnswer: -90569.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qftttcnqqqnnfmtqfq. What is prob of picking 2 n and 2 q?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 2*r**2 + 2*r. Let f be y(-4). What are the prime factors of f\/(-8) - (-2 + 0 + 2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8990*z - 26860. Determine h(-3).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91577 - -481.57?\nAnswer: 92058.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*k + k + 2, -i = 5*k - 25. Let z(m) = -7*m**3 - 4*m**2 - 11. Let p(h) = -4*h**3 - 2*h**2 - 6. What is i*p(n) - 3*z(n)?\nAnswer: n**3 + 2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 0.1, -6\/17 in descending order.\nAnswer: 0.1, -6\/17, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)*h)**0)**(-35) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.1, 0, -9, 13, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from uuuuuuuuzuuuuuuuuuu?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2400.7 from -28952096.\nAnswer: -28954496.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 810 and 36126.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -60, 70, 312, 702, 1276, 2070, 3120?\nAnswer: 4462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1012 - -5231. Is j 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 ((-330)\/(-25) + 0)*1291790\/303?\nAnswer: 2, 11, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -422.5880124 to the nearest ten.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 1, w: 2, s: 1, e: 2, b: 1}. What is prob of sequence wb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 71. Suppose -3*b + 139 - 4740 = -s*v, -3*v + 3452 = -b. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*i + 341*i**2 - 27*i + 54*i - 6*i**3 - 14 - 339*i**2 to y*i**2 + q*i**3 + v*i + s and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 3*f + 3*u - 2*u, 4*u = 3*f - 125. Is 39 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/5)*o)\/o**(-2\/13))\/(o**9\/(o*o**(-11))) assuming o is positive.\nAnswer: o**(-1108\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 + 132. Suppose -s + z = 2*s. What is the remainder when 29 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 7:37 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 20*n + 5*n)*(-19026 - 469*n**2 + 19026) in the form r*n + d*n**3 + x + i*n**2 and give d.\nAnswer: -11256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d2 + 1c?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21625075*x**3 - 86577062*x wrt x.\nAnswer: 129750450*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3252 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -25075*y + 275. Let f be o(-3). What is f rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 4*a - 94. Let u be p(-8). Let t(f) = 5*f**2 - 4. What is t(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -480524 (base 14) to base 15.\nAnswer: -338bab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/26691 and -59\/930?\nAnswer: 266910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -2*k - 55. Solve 3*f + 5 = -k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26\/115 + -4\/23. Let m = 0.11 - 0.07. Let k = m - -0.16. Are a and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 13*a + 17. Let b be u(13). Calculate the highest common factor of b and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = y. Let j be (y + 6 - 2) + -3. Suppose -3*t = 4*n - 328, 3*t = n - j*t - 97. Is 24 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -935 - 1069 + 2065 - 2*k + 5013 to x*k + f and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*x - 24, -3*b - 2*x = 17 + 17. Let j be (9 + 91\/b)\/((-10)\/(-25)). Let g(a) = a**3 - 5*a**2 - a - 5. Let w be g(6). Which is smaller: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33494 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - g + 20. Let x = -4 + 4. Let b be v(x). Suppose -3*i - 2*i = -b. Let o(s) = -s**2 + 4*s + 2. What is o(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o**3 - 3*o - 3. Let m(p) be the third derivative of 17*p**6\/120 + 5*p**4\/24 + 5*p**3\/6 - 216*p**2 + p. Give 5*f(j) + 3*m(j).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -4 (c) 16.82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*f = -306, 5*f - 31 - 380 = 4*o. Let g(b) = -324*b**2 + 99. Let a(h) = -13*h**2 + 4. What is o*a(d) + 4*g(d)?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (220*y**2 + 5*y**4 - 220*y**2)*(8 - 46 - 6) in the form x + k*y + t*y**4 + v*y**2 + a*y**3 and give t.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 8*u - 4 + 2 - u - u**2. Let q be d(5). Is -5 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 - 58*a**3 + 108*a**2.\nAnswer: 2*a**2*(a - 27)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 - 9*b + 4. Let u(r) = -7*r**2 - 26*r + 12. Let m(j) = -11*n(j) + 4*u(j). Let o(y) = y - 1. Give -m(i) - 4*o(i).\nAnswer: -5*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/5, -22, -4, -34?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) 97 (b) -4 (c) 909 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1455 (base 13) to base 9.\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 0*z**5 + 3*z**5 + (-16 - 8 + 3 + (4 + 1 - 4)*(2 + 1 - 2) + 0 + 0 - 2)*(5*z**5 - 3*z**5 - z**5).\nAnswer: -21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1900)*2 + sqrt(1900))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39513265 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4660?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 213757 + -1?\nAnswer: 213756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77373624?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3425 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13776 + -5319. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 2 + 49 = 0. Suppose -22 = -j*z + b, 3*z + b + 8 = 4*z. Solve 3*g - l + 12 = 0, -5*g + z*l = 2*l + 30 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 24, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 30 - 0. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16296433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*i + 50, -3*o - 41 = -5*o + 5*i. Calculate the highest common factor of o and 637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684200 rounded to the nearest ten thousand?\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15 - (70\/(-10) - -12)) + 97\/(-10). Let m = 2 - 2.5. Sort m, p, 13 in increasing order.\nAnswer: m, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*b + 5 - 14, 0 = -2*z - 2*b + 8. Suppose -u + 3 = -z. Suppose 196 = u*q + o, 2*q + 2*o - 100 = o. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667.5 != 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138013.7 milliseconds to microseconds.\nAnswer: 138013700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208.9924928241 + -0.0075081059. Let d = -57 + -152. Let n = t - d. What is n rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, g: 3}. What is prob of sequence xxg?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3180 and 129585?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o + 5. Let v(s) = -5*s - 2. Let x(t) = t**2 - 2*t - 6. Let u be x(4). Determine u*a(l) + 5*v(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 + 7)\/(-21 - (-48 - -31)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*d = 4*w + 181*d + 4, -4*w - 3*d - 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -3*h + h. Suppose 4*v - 3*j = h, -2*v + 0*v + 44 = -2*j. What is the lowest common multiple of v and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((36855\/9045)\/39)\/(14\/6)?\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 - 0.09. Put -1, f, -2 in increasing order.\nAnswer: -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**(-2))\/y)*y)**32*y**(-14)*y\/(y\/y**(-13\/6)*y)*y)**(15\/2) assuming y is positive.\nAnswer: y**(3355\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + 2 + 3)*-6.\nAnswer: -30 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 12:18 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = -5*p - 24, -2*l + 5*p - 10 = 0. Let q be (-19998)\/l - 2\/(-5). What is q rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/42)\/((-19)\/304))\/(-4*(-20)\/(-56))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 7 = -4*j - 2*u, -141282*j = -141285*j - 3*u - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2431 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 52.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 785797 = 5*c, 2*p + 5*c = 130372 + 262519. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2725 is divided by 3\/18 + 3123\/54?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -426, -641, -856, -1071, -1286?\nAnswer: -1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 518*j - 55020. Determine v(-150).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*f = -741, -5*f = -3*x - 0*f + 725. Calculate the remainder when x is divided by 58.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3835.097 - -3835. Let h = 1928.903 - 1917. Let i = h - d. What is the second biggest value in -2\/9, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1461\/2 + 4385\/6. Let k(y) be the first derivative of 11 - 5\/24*y**4 + 1\/10*y**5 + 5\/12*y**2 + u*y - 5\/18*y**3. Determine p so that k(p) = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 10*b + 15. Let v be n(5). What is the units digit of 5\/v + (-2)\/((-4)\/97)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193117 >= 193132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 763*c**5 + 380*c**5 + 376*c**5)*(2 + 1 - 2).\nAnswer: -7*c**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 19*t**2 + 12*t - 9. Give d(18).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + l - 4. Let g be t(-3). Suppose i = 3*p - 2, 0 = 3*i + i + 2*p + 36. Let c = g - i. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-45)*10\/4. What is the nearest to s in -1, -4, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -2 + 4 + (sqrt(208) - (3 + sqrt(208) + -3) - sqrt(208) - sqrt(208)))**2.\nAnswer: -16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23489 + 3043 = 66*h. What are the prime factors of h?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(320) + -3)*-6 + 5*-2*(sqrt(320) + sqrt(320)*-1 + 5))**2.\nAnswer: -29952*sqrt(5) + 114496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.499 - 0.819. Which is the smallest value? (a) -0.6 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 342057, 342056, 342055, 342054?\nAnswer: 342053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (448\/384*(-6)\/(-28))\/((-2)\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 71*o - 691. Calculate t(-68).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2187*p**2\/4 + 14088978*p - 90763283532 = 0.\nAnswer: 347876\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -191\/4 + 48. Suppose 5*d - 120 = -3*c, -28 - 67 = -5*d + 2*c. Let x be (-3 - -5)*3\/d. Sort x, t, 0 in ascending order.\nAnswer: 0, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.232 + 1.16. Let u = 0.028 - f. Which is the closest to u? (a) 1\/10 (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38542 + 38608. Let x(f) = 6*f + 2. Let d be x(2). Let s = -8 + d. What is the highest common divisor of y and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 16471 = -16449. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60108 divided by -6\nAnswer: 10018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 9*x**2 + x - 9. Let m be y(9). Suppose 5*k - 2*r + 2 + 2 = m, 0 = 2*r + 6. Which is the second smallest value? (a) 3 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345 divided by -3.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1)*1 + -41. Let m(h) = -h**3 + 61*h**2 + 61*h + 92. Let a be m(62). Find the common denominator of (-10)\/k*(-12)\/a and -97\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765790 is divided by 140.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79980 and 1302.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3296 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 43*j**2 - 2*j - 5. Let y = -130 + 128. What is the units digit of z(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 18 = -2*w, 53*w + 1 = 58*w + o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1124703, 2249407, 3374111?\n\"Answer: 1124704*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2239713 divided by -746571?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-4 - 0) - (-2 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-80) + ((-102)\/(-20))\/(44\/(-10)). What is the closest to -0.1 in -4\/5, -35, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(1584) - -3*sqrt(1584)))\/(-6*(sqrt(484) + (sqrt(484) - sqrt(484)*-3))))**2.\nAnswer: 64\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 75639 * 66\nAnswer: 4992174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -3002422?\nAnswer: -3002412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/351306 and 1\/858.\nAnswer: 50236758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h + 2. Let s(a) be the first derivative of 5\/2*a**2 - a + 4. Give 7*s(j) + 3*x(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11339 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 733, 28, 3 in decreasing order.\nAnswer: 733, 28, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -406*i + 6. Let j be g(1). Let y = -238 - j. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497 + 178 + 375 + 317 - 3*w + 225.\nAnswer: -3*w + 1592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1149 (b) -5 (c) -2 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -111 - -1582?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 53\/4 of a second?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 18*t**2 + 19*t - 32. Let x be a(17). Suppose -2*k + 0*k = -x*p + 34, -5*p + k + 97 = 0. Is 32 a factor of 72\/p*64 - (-4)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**3 + 2267403*c**2 + c - 121824627?\nAnswer: 3*c**2 + 4534806*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 381611038 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: b\"What is the qth term of -191, -371, -551, -731, -911?\n\"Answer: -180*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096 = -5*r - 6*h + 4*h, -3*h - 863 = -4*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 2*q - 56072*q**2 + 112142*q**2 + 2*q - 56072*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d. Let p(o) = -9673626*o**2. Calculate h(p(u)).\nAnswer: 29020878*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/(sqrt(64) - sqrt(4)))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 9:41 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1663745*h**4 - 2317106*h**2 wrt h.\nAnswer: -39929880*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*r**2 + 812*r - 60 = 0. What is r?\nAnswer: 3\/40, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + v = 3, 4*v = 3*s - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*54 - -3)*((-460)\/60)\/23?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 3*p + 7, h + 2*p = -0*h - 3. Let b(a) = -18*a**2 - 15*a + 15. Let o(c) = c**2 + c - 1. Determine h*b(q) - 15*o(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8))**(-47) assuming u is positive.\nAnswer: u**376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*y = -2*o - 2, -3*o - y = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (609\/145)\/((-12)\/40)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1420569\nAnswer: -426170.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + p + 38 = -7*p, -3*s + 211*p = 215*p + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 95 = -n + 1804, 9450 = 5*n - o. List the prime factors of n.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2131187.\nAnswer: 97, 127, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 880 + -879.4. Let d = 5 + -5.08. Is w not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 31 + 8 = 5*r, r - 3*f = -7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**4 - 2*x**3 + 0*x**2 + 8*x**4 - x**2 + x to b*x**2 + z + s*x**3 + v*x**4 + u*x and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9200, -18402, -27604, -36806?\nAnswer: -46008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 - -45. Let i = d - -135. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, e: 1, b: 2, t: 2, f: 5}. Give prob of sequence fbt.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*-18.\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.76 (c) -375461\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -65\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12099.8 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/10)\/(p*p\/(p**(-5)*p)))\/((p*p\/(p*p**(-1)*p))\/(p\/(p*p**1))))**47 assuming p is positive.\nAnswer: p**(-3713\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 462 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122112 + 22232320?\nAnswer: 23021032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + (-3 + sqrt(637))**2 + -3)*-6*-4.\nAnswer: -1008*sqrt(13) + 15528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9817 - -9815. What is the closest to v in 4, 0.2, -52?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-6))\/((-64)\/(21504\/(-105)))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10254424536060 + 1.\nAnswer: 10254424536061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4771 + -4766. What is the second smallest value in -3\/26, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*z - 25*z**4 - 40*z)*(3*z - 7*z - 7*z).\nAnswer: 275*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 - s - 1. Let b be k(1). Differentiate 7*c + 5 - b + 0 - 4*c wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 126*m - 5097 + 6*m**2 - 9*m**2 + 0*m**4 + 76*m - 2951 + 4*m**4 wrt m?\nAnswer: 16*m**3 - 6*m + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 13 + 1 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5157?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 8. Let b be s(-6). Suppose -155 = b*z - 455. Suppose l - 42 = z. What is the highest common divisor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/22 and 35\/926.\nAnswer: 10186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvvvlvlvrvlvrc. What is prob of picking 4 v?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 5*q**2 + q**2)*(-1 + 2*q**3 + 1) + 617*q**4 + 39*q**5 - 617*q**4.\nAnswer: 57*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -397 + 834. Factor w*z + 201*z - 24*z + 3993 + 475*z + 99*z**2 + 3*z**3.\nAnswer: 3*(z + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -42527?\nAnswer: -4252c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**4 - w**3 - w**2 + 1. Let s(d) = -15*d**4 - 5*d**3 - 5*d**2 + 12. Let j(l) = 5*c(l) - s(l). Find the first derivative of j(u) wrt u.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -84.9 and 5.\nAnswer: -424.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 6) to base 9.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11\/2)\/(7\/70). Suppose u + 3*u - 1 = -x, u = x - 6. What is the highest common factor of q and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(10)\/sqrt(5))**2)*-5*-5.\nAnswer: 25*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*v - 5, -2*v = 4*f - 3*f - 7. Calculate the remainder when 71 is divided by (11 - -6) + f - -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1071 + 5001 = 66*f. Calculate the remainder when f is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3229 divided by -3?\nAnswer: -3229\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 168*t**2 - 5*t + 3. Let v be m(1). Let o = v + -124. What is the highest common divisor of o and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (104 - 14*y**2 - 104)*(-2 + 2*y**2 + 2) to the form v*y**4 + s*y**2 + z + p*y**3 + i*y and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 146*a**3 + 5 + 229*a**3 - 2 to the form v*a**3 + u*a**2 + p*a + z and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.46 (b) 384 (c) -9 (d) -139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 532624772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 2, r: 4, e: 2, m: 6, v: 4}. Give prob of sequence err.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaii when four letters picked without replacement from vppiviaipvpappiapvag?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*y - 12 = 8, 0 = -2*l - 5*y + 1. Put -2, l, 27 in decreasing order.\nAnswer: 27, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2. Let l(o) = -4931632*o. What is l(y(c))?\nAnswer: -4931632*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13435772 by -1919396.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Sort 152, -1, -25, 14 in ascending order.\nAnswer: -25, -1, 14, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-3) - -3) + 0. Sort 1, -4, c in increasing order.\nAnswer: -4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 3 + sqrt(208)*-2 - (0 + sqrt(832)*-1 + sqrt(832) + 1 + -2)) + -2)**2 + -1.\nAnswer: -48*sqrt(13) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103, 339, 573, 805, 1035, 1263, 1489?\n\"Answer: -u**2 + 239*u - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (0\/(-3) + -1)) + (-10299 - -10348).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 27) + (-9 - (13 + 2))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13723851.\nAnswer: 3, 97, 47161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + r = 4*r. Suppose r = -8*t + 17*t - 1827. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 656 and 792?\nAnswer: 64944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5502*g - 5490*g + 3 + 0*g**3 + 3*g**2 + 26*g**4 + 1 + g**3 to l*g**2 + d + v*g**4 + t*g + x*g**3 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*f, -5*q = -0*q + 4*f - 201. Let n(y) = 27*y**2 + 20*y**2 - q*y**2. Let d(m) = 27*m. Give d(n(z)).\nAnswer: 270*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 8:03 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 63?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44195395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -0.057, 350030?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*17\/119 - 16\/11*-1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9748922, -19497846, -29246770, -38995694, -48744618, -58493542?\n\"Answer: -9748924*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 17112?\nAnswer: 119784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - 5*z**3 - 6*z**2)*(-528*z + 87*z + 120*z).\nAnswer: 1605*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -27*v + 46. Let r(k) = -2*k. Determine r(z(g)).\nAnswer: 54*g - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -164, 91, 1926, 6499, 14968, 28491?\n\"Answer: 193*c**3 - 368*c**2 + 8*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 840*j**3 + 273*j**3 - 395*j**2 + 197*j**2 + 198*j**2.\nAnswer: 1113*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -112 - 128. What is the common denominator of -127\/96 and (m\/45)\/(2\/12)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5 = g + 6*o, -3*g + 15 = 5*o. Suppose -g + 2 = -h. Factor -8*a**4 + a - 3*a**3 + a + 18*a**h + 2 + 7*a**3 - 18*a**2.\nAnswer: -2*(a - 1)**3*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4 - 124*h**3 + 4398*h**2 - 33516*h + 29241 = 0. What is h?\nAnswer: 1, 9, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 185.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/5)\/(o\/(o**(3\/2)\/o)*o)*(o**0)**(18\/5))**(-2\/85))**5 assuming o is positive.\nAnswer: o**(13\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 6*n + 6. Let y be c(3). Suppose -5*z - y = -s, -5*s + 2*z + 30 = -3*z. Solve u + 2*r = r - s, 5*r + 10 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -2\/39*p**3 + 0*p**2 + 105*p + 0*p**5 - 1\/195*p**6 + 0 + 1\/26*p**4. Factor r(l).\nAnswer: -2*l*(l - 1)**2*(l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18430175411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 54, 154, 322, 558, 862?\n\"Answer: 34*b**2 - 2*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44953442?\nAnswer: 2, 22476721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15849*i**4*u - i**4 - 34*i**2*u + 3*i*u + 34 wrt i.\nAnswer: 380376*i*u - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + 111\/(-74)*(-107906)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3235005.\nAnswer: 3, 5, 31, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/27, -0.25, 2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.135 and 154112658?\nAnswer: 154112658.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - 2*r**2 - 2*r**2)*(-165 - 107 - 141)*(22 + 3 - 4) in the form t*r**2 + n*r + u and give t.\nAnswer: 26019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39.29 - 218.11. What is s rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 2:13 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 7:42 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2600*g + 18209. Give l(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 51*h**2 + 284*h + 224. Let i be f(-56). Solve 14*n - 16*n + a - 8 = i, 4*n = -5*a + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 13. Let s be t(9). Suppose 5*l = s*l. Find the common denominator of l + 38\/(-16) - 2 and 18\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80795, 80798, 80801, 80804, 80807?\nAnswer: 80810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*r - 296 = 0, 239 = -4*p - 6*r + 5*r. Is -53 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 d, and 1 j when three letters picked without replacement from djdjdjodoojjddjojjdd.\nAnswer: 64\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k + 50 = -m, -3*m = -2*k + 103. Let b be (-113)\/5 - (-4)\/(-10). Let a = k + b. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140605868\/48645 - -26014\/9. Calculate the common denominator of 157\/30 and j.\nAnswer: 32430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 25*z - 757 = -5*k, -z = -k - 196. Which is the biggest value? (a) z (b) -1\/22 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -989.8 + 990. Let l = 0 + -4. Let u = l + 1. Put u, r, -5 in increasing order.\nAnswer: -5, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*q - 11, 4*q + 5*w + 3 = 5. Suppose -181 = 5*x - 5*u + 14, -u = -2*x - 81. Let l = -40 - x. Solve l*a - q*a = g, 4*g = -5*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, j: 2}. What is prob of picking 3 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**4 - 240*m**3*u + 1246*m**2*u - m**2 wrt m.\nAnswer: 72*m - 1440*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 4:56 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13.584174us?\nAnswer: 0.0000002264029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 157 in 2\/7, -0.3, -0.4, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + l - 7. Let b(f) = f - 1. Let p(g) = -g - 1. Let c(y) = b(y) - 2*p(y). Let a be c(2). Is r(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3292163.75 to the nearest one hundred.\nAnswer: 3292200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45\/28 + -17\/4. Let s = 12637\/1645 - 26\/235. What is the common denominator of d and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, -5, 7 in descending order.\nAnswer: 7, 3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 5)*(31*y**2 + 4*y**4 - 31*y**2)*(-3 + 2 - 2).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - (-3 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -693 divided by -1.\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -386487, 4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y - 4. Let d(f) = 2 - 77*f - 94*f + 4 + 177*f. Suppose 3*u + 0*u = -15. Calculate u*d(b) - 8*p(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 5*z - 3. Let w(m) = 2*m - 2. Let h be w(4). Let a = 5 - 0. Calculate the remainder when a is divided by j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 306 divided by 58281\nAnswer: 102\/19427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73 + 17271?\nAnswer: 17354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 56 = 7*t. Let f = -10 + t. Suppose 6*o - 6 = f*o. Solve 7 + 5 = o*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*p = -72*p + 2244. What is the remainder when p is divided by (18 + 8)*(-1)\/(-2 - -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 + 96. Suppose -q*l + 3*i - 5 = 4*i, i = -5. Solve l = -b + 4 - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u = 580. Suppose n + u - 615 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.6784+-67\nAnswer: -45.3216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*w + 2*i, 0*w = -4*w + i + 17. Suppose 5 = 3*j - 5*a, w*a - 2 + 3 = 3*j. Let k = -3 - -1. Sort k, j, -4 in decreasing order.\nAnswer: k, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -1 (b) -9 (c) -0.1 (d) -0.09 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -36. Let t(d) = d**2 + 3*d + 1. Let m be t(-3). Put m, i, 5 in increasing order.\nAnswer: m, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {f: 1, l: 1, i: 1, n: 5, j: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**4 + 436*a**3\/3 - 898*a**2 + 1356*a + 5161. Factor o(p).\nAnswer: 4*(p - 3)*(p - 1)*(p + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**7\/630 - x**6\/60 + x**5\/15 + 5*x**4\/12 + x. Let c(d) be the third derivative of k(d). Determine v so that c(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1551 + -1551. Solve p = 77*q - 84*q - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 + 0 = 0. What is the tens digit of (t - 1)*200\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 3*u**2 - 19*u**4 + 33*u**4 + (u**4 + u**4 + 0*u**4)*(-5 + 4 - 5).\nAnswer: 2*u**4 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*i**5 - 184*i**4 - 51*i**3 + 186*i**2 - 9352*i?\nAnswer: 1320*i**2 - 4416*i - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5409 (base 10) in base 9?\nAnswer: -7370","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 2, x: 1, s: 2, r: 1, d: 2}. Give prob of sequence dd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + -1*(sqrt(448) - (1 + sqrt(448))**2)) + 6*(-5*(sqrt(448)*1)**2 - -1*(-2 + sqrt(448))).\nAnswer: -12111 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*t + 2, 7*x = 4*x + t - 6. Let k be ((4\/(-14))\/(-2))\/x. Let z = -0.08 - -3.08. What is the nearest to -2\/3 in k, z, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9231 + 129287\/14. Find the common denominator of -47\/18 and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18576 + -18576.000038126. Round h to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 10.6. What is the nearest to 0 in 2\/7, q, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) -0.3 (c) -15.77 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.753443 - 0.753. Round g to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186982 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -11*g**2 + g - 1. Let o be k(1). Suppose 4*x = 4*i + 1768, 1728 = -4*i - 11*x + 7*x. Let f = i + 425. Which is greater: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 != -11859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 59 = -i, -4*l - i + 7 = 47. Let a(k) = 3*k**2 + 34*k + 11. Let t be a(l). Solve 2*o + 0*o + 15 = -5*r, t = r + 3*o + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u**2 + 31*u**2 - 66*u**4 + 47*u**4 wrt u.\nAnswer: -456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*a + 6 + 39, 15 = -3*v. Suppose a = 7*x - 2*x. Suppose 4*y = 2*y - 5*s + 203, -4*s + 198 = x*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**6)\/t**(-2\/17))\/(t**(-1\/16)*t\/t**(-2\/17)) assuming t is positive.\nAnswer: t**(97\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98) + -1 - sqrt(98)))*-1 - sqrt(98) - (sqrt(98) + 0)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + h + 2. Suppose 4*v - i + 2 = 5*v, -i - 2 = 0. Suppose k = -0*k + v. What is the lowest common multiple of k and l(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l - 3. Let v(q) be the second derivative of q**3\/6 + q**2\/2 + 22*q. Give 3*v(w) + z(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 12*j**2 + 3*j - 9. Suppose 5*b = b + 40. Is h(b) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10 = -5, -13 = -v - 2*l. Suppose -3*g + 15 = 2*y, 0*y - 3*y = -2*g - v. Let b(q) = 2 + 2 - 3*q**2 - 4*q**3 + 2*q**3 + q + 3*q**g. What is b(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/1585 and 1966 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2823?\nAnswer: 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 0 = 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + 40 + -100 + -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 15*s + 13. Let g(u) = -u**3 - 5*u**2 + 2*u - 8. Let o be g(-6). Let b be a(o). Put 5, -1\/2, b in increasing order.\nAnswer: b, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 173628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3903810643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*c = -21, -d + 5*c + 1 = -11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-200) - (-152)\/(-80)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3484)\/335*(-120)\/312?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 18. Let c be f\/(-3) - 37\/13. Let u = 0.32 - 0.22. Which is greater: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*4\/8 + 8\/2. Suppose 4*c - 748 = -4*v + 2*v, 754 = 4*c + q*v. List the prime factors of c.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 4*l**3 + 3*l + l**3 - 9 - 4*l**3. Differentiate z(v) wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -137*b**4\/24 - 205*b**3\/3 - 73*b**2. What is the derivative of l(u) wrt u?\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36.7 and 998297?\nAnswer: 998260.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5231*w - 1823. Is 112 a factor of b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 30 = -5*r, -7 = -5*v + 4*v - r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-79 - 28 - 2*z + 26)*(-1 - 3 + 1) in the form s*z + n and give n.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100 - -91) + (0 - (-4 + -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -216 + 236. Suppose -s + 2*t + z = -0, 145 = 5*s + 5*t. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 + -2 + (-5 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**2 + c**2 + 0*c**2)*(-17395 - 16059 + 1847 + 1579 - 5069) as o*c + f*c**2 + r and give f.\nAnswer: 35097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 1) + 7 - (1 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i + 2567 + 2*i**2 - 35*i**3 - 2569 + 4*i. Let p be c(-1). Calculate the greatest common divisor of p and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6546 - 1.5546. Put w, 135, 2, -4, -5 in decreasing order.\nAnswer: 135, 2, w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -0.103, -0.19, 0, 5, 1\/2?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -41*l + 36*l + 2*y, -2*l - 11919*y = -11924*y - 67 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 8. Let b = 3 + z. What is the common denominator of -2 - b - 303\/18 and -119\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*n + 181*n + 170*n - 5920 = -103*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(170)\/sqrt(10)*-5)**2 - (sqrt(1377) + 2)**2).\nAnswer: -954 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4)*y**(-20))**(1\/14))**(1\/9) assuming y is positive.\nAnswer: y**(-79\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 6*a**2 - 3. Is w(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 0*q - 3*q**2)*(3054*q - 7 + 3 - 3057*q) as v*q**2 + d + o*q**3 + p*q and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491929 is divided by 122979.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13)\/(-2) - 5\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*i**4 - 21*b*i**2 - b + 2 with respect to i.\nAnswer: 8*b*i**3 - 42*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 53*p - 855. Let m be d(13). Put 5, -1, m, -4, 0 in ascending order.\nAnswer: -4, -1, 0, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 160567*q**2. Let i(m) = -704*m**2. What is x(i(b))?\nAnswer: 79579574272*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1129? (a) 5 (b) -4\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 235 + -53. What is the derivative of 357*t + 51*t**4 - q*t - 122 - 175*t wrt t?\nAnswer: 204*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144 + -76. Suppose 0 = 5*v + 5*z - 12 - o, -z - 20 = -v. Calculate the lowest common multiple of v\/(7\/((-28)\/(-8))) and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 157. Let c = 92.6 + z. Sort 0.07, 1\/3, -5, c in ascending order.\nAnswer: -5, c, 0.07, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17858.\nAnswer: 2, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217601 and 439111?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 22*s + 1. Let l be i(2). Suppose 0 = 17*b - 14*b - 15. What is the greatest common factor of b and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3 + 52*f**2 - 733*f + 2240 = 0.\nAnswer: -64, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -12845 and -1232885.\nAnswer: -1245730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*16*50\/40. Suppose -16*j + 10*j + m = 0. What is the highest common factor of j and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144202363 (base 7) to base 3.\nAnswer: -122222220102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, 3\/5, 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**3 - 28*d**2 + 12*d - 33. Is h(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315478213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11587947 divided by -3862649\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.9337 rounded to zero dps?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 19 + (-3 - 0) + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 6073.\nAnswer: 6074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 371, 430, 489, 548, 607, 666?\n\"Answer: 59*k + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - j. Let q(y) = 14*y**2 + 63*y + 1. What is -6*p(f) - q(f)?\nAnswer: -2*f**2 - 57*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(-55 - 58 + 103 - g) to the form m*g + w and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -439*j + 772. Calculate h(2).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + x + 4. Let q be n(0). Suppose d + 11 = 3*d + v, -2*d = -4*v + q. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*u - 6. Suppose 7*w - 22 = -u. Solve -w*h + 4*h + 19 = -5*v, -4*h = v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1814\nAnswer: -2\/907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 123 - 54 = 53 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 5087891 and 2205.\nAnswer: 5090096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 4. Let y = -184 + 184. Suppose y = -7*u - 137 + 179. Calculate the smallest common multiple of u and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2047 and 690?\nAnswer: 61410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 + 259032*v\/7 - 24626090\/7.\nAnswer: 2*(v - 95)*(v + 129611)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 3*v + 30, 3*v - 36 = 11*q - 7*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(2\/3)*(-2)\/(-3). Let b be (7\/(-3))\/(k\/(-6)). Suppose b*r + 66 = 18*r. Solve -f + 18 = 5*p, -3*p - r*f + 4 = -2*f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 3\/10 (c) -2 (d) -9 (e) 1 (f) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 21. Let f(x) = -4*x - 22. Let p(h) = 5*c(h) + 4*f(h). Let o be p(17). Solve 4*v - j = 16, 2*j + o*j - 1 = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.8*-0.3.\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**4\/5 + 2544*f**3\/5 - 7659*f**2\/5 + 5749*f\/5 - 1278\/5 = 0.\nAnswer: -639, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4347 - -4346. Let g be (30\/(-170))\/(3\/2). What is the biggest value in f, -3, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 45*k**4)*(117*k + 95*k + 29*k).\nAnswer: -10845*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422 + 136 + 33*s**3 + 139 + 140.\nAnswer: 33*s**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/17*x**2 - 12\/17*x.\nAnswer: 2*x*(x - 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (6 + -22 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 31*g - 70. Let j be m(28). Let i = 1 + -1. Suppose -6*b + 166 + j = i. Calculate the greatest common factor of b and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 958433.2s?\nAnswer: 958433200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-143)\/182 + (-5)\/((-70)\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 179, 177, 163, 131, 75?\n\"Answer: -j**3 + 5*j + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9780 = -15*o + 217845. Let w = 20029 - o. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 5*w + 592 - 293 - 283, 4*t - 32 = 12*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 11. Let t be u\/(-6)*(-9)\/3. Let q = -7713 + 7727. Solve 0 = t*x - 2*k + 40 - q, -3*k = -15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 + 104. Let i = -38 + w. Suppose 6314 = i*p - 15*p. What is p rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22233 is divided by 353.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5579\/244 + 68\/61. Let b = c + 22. Which is greater: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1\/5)\/g)*(g**(-3)\/g)\/g)\/(((g\/g**(6\/7))\/g*g)\/(g**0*g))*(((g*g\/(g**9\/g))\/g)\/(g\/((g\/(g*g**(2\/11)))\/g)*g))**(-37) assuming g is positive.\nAnswer: g**(143907\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.001 - -0.901. Let s be ((-5)\/35)\/(1\/3). Which is greater: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + 1 + 7 - (3 + -4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44730*r**4 - r**3 + 187870*r wrt r.\nAnswer: 536760*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/5007 and -133\/18?\nAnswer: 30042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4555849 (base 10) in base 2?\nAnswer: -10001011000010001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 8*q**2 + 3*q - 9. Calculate x(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*z, v - 2*z - 138 = -v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*i + 5*y, 3*i + i = 4*y + 8. Suppose 2*s = -i*d - 5 + 17, -3*d + 10 = 4*s. What is the second derivative of -n**5 - 2*n - s + 1 wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5)\/q)\/(q*q**(3\/7)*q)*(q**(-1\/2))**(2\/15) assuming q is positive.\nAnswer: q**(-409\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m*m\/((m*m*m\/m**(1\/13))\/m)*m)**(-2\/3)\/((m**(-1)*m)**44*(m\/m**(-3)*m)\/(m**(-4)*m)) assuming m is positive.\nAnswer: m**(-122\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99836)\/40842*12\/22.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*k - 244*k + 1123 - 8793 = 0 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201211020 (base 4) to base 2.\nAnswer: 100001100101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 649*h - 3 - 6 - 2 + 4 as q*h + k and give q.\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**3 + 24468*u**2 - 37454364*u + 112142988 = 0.\nAnswer: 3, 3057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 7:20 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21012222 + 443?\nAnswer: -21011224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*b - 223253 = 10123. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = 2*r - 356. Suppose i - 5*d = 6*i - 1190, 5*i = 3*d + 1150. Put r, i, -1 in increasing order.\nAnswer: -1, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.36823 nanoseconds in minutes?\nAnswer: 0.0000000002894705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1294605224, -1294605227, -1294605230?\n\"Answer: -3*m - 1294605221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 7*g**3\/12 - 51*g**2\/8 + 7*g\/2 - 41. Let b(u) = 0. What is u?\nAnswer: 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2518 is divided by 114.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 42 - 8*t + 74.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 4. Let r = -4\/5 - -8\/5. Which is the nearest to -0.1? (a) r (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18613 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18051 - 18051.06. Let j = 0.3 + -0.2. Sort 4, c, j in descending order.\nAnswer: 4, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7532.7 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29227814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 27*s + 25*s - 297 = 0 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1646 = 4*m - 2*f - 3241 + 1655, -2*m - 14 = 4*f + 6 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(-21 + 21 - 7*d)*(d + 2*d - 4*d).\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3 + 10*u)*(197*u + 89*u - 449*u - 433*u).\nAnswer: -5960*u**2 - 1192*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -461*f. Let u(l) = -28*l - 17. Let w(c) = 13*c + 3. Let i(j) = -38*j - 10. Let n(s) = -3*i(s) - 8*w(s). Let h(t) = 17*n(t) + 6*u(t). What is v(h(b))?\nAnswer: -922*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 - 2556*b**2 + 44030*b = 0. What is b?\nAnswer: -1295, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 30?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3469921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 90\/4*24\/36. Let v = -4 + d. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -2, 4, -1, 197 in ascending order.\nAnswer: -21, -2, -1, 4, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 264 + -246. Let i(m) = 23*m**2 - 59*m**2 + y*m**2 + 16*m**2. Let z(p) = p + 5. What is i(z(r))?\nAnswer: -2*r**2 - 20*r - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253612, -251455, -249296, -247135?\nAnswer: -244972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6) + -1)*(-60)\/70?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 5*h + 3404 = 30*h. What is the highest common factor of h and 49220?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 8 = 33. Suppose -o*s = -13 - 7. Suppose g - s*g - 2*m = -29, -g + 1 = 5*m. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -56481049.\nAnswer: -56481046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1341 + -132?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -18 - 8\/4. Suppose x + 3*x = -f. Put -5, 0, x in descending order.\nAnswer: 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*c = 12, 4*c - 24 = -11*s + 10*s. Solve s*q = 16*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -172\/3 (b) -27 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.978 - -12.31. Round i to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4 and 39\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -165, -330, -495?\n\"Answer: -165*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*s + 14*s + 21. Solve 4*z + 0*f - 12 = 4*f, s = z - 4*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 5675 = -1193. Which is smaller: 403 or z?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 1. Let q(h) = -4*h - 2. Let j(w) = 5*m(w) + 3*q(w). Suppose 5*r + g + 4 = -2, -5 = r + 4*g. Calculate j(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*p - 12, 2*p - 3 = 1. Let h = 8 - 6. Let m = h - w. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450875 and 1375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 234107\/22 - 10644. Calculate the common denominator of -101\/2 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206844709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9639426 divided by 2\nAnswer: 4819713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -55 + (3 - (-11 - (-36 + 1)) - -20).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(76))*3.\nAnswer: -3 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 51, 191, 461, 903, 1559?\nAnswer: 2471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/55*(-25)\/10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*i - 147 = 0, -98 = x + x - 3*i. Suppose -6*h = -2*h - 232. Let g = h - 106. Which is smaller: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127789101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o - 2. Let k be w(0). Let y = 245\/12 + -85\/4. Is y bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 8?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*c**3 - 158*b**3 - 9*b*c**3 - 18*b*c**2 wrt b.\nAnswer: 12*b*c**3 - 948*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Solve c*h - 4 = -0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*f*s**2*w*z + 2*f*w*z - 3*f*w + 19*f*z + 33*s**2*w - 38*s*z - 3*w*z - 40 wrt s?\nAnswer: 42*f*s*w*z + 66*s*w - 38*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -43.188 - 3\nAnswer: -46.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 25. Let c = 38\/5 + -593\/55. What is the common denominator of 19*j\/(-9) + 3 and c?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4261 by 3.\nAnswer: -4261\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 9 - (-6 - 3)) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 492 - 491.81. Let r = -0.03763739 - 0.15236282. Let p = a + r. Round p to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.19 (b) 3 (c) -8.6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - c = 6, n + 4 = -2*c - 3*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-5 - (-242)\/48). Let c(n) be the third derivative of 0 - 1\/180*n**5 - p*n**4 - 3*n**2 - 1\/9*n**3 + 0*n. Determine j so that c(j) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -0.16901262?\nAnswer: 2.16901262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) -19 (c) -60831 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 2*(sqrt(68) + (sqrt(68) - sqrt(68)*3)))\/(sqrt(144) - -4*sqrt(144) - sqrt(144)))**2.\nAnswer: 17\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 329938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -11, -76, -275, -668?\nAnswer: -1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168253 is divided by 513?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37985 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(2\/9)\/g*g*g))\/g*g*g*g*g**2)\/(g*g**7*g*g**(-6)) assuming g is positive.\nAnswer: g**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 divided by -69?\nAnswer: -676\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 16c2b37?\nAnswer: -16c2b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31914*z - 31915*z - 31919*z - 31921*z + 127670*z - 262.\nAnswer: z - 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, q: 1, g: 3, f: 2, l: 3, i: 3}. What is prob of sequence bfg?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -55044*v + 4*v**2 + 55044*v. Determine l(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -249 in increasing order.\nAnswer: -249, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 1890 = -12*o. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 10*w**2 + 5*w + 7. Let z = 13 + -12. Let q be (-1 - 6) + (-1 - z). Is 11 a factor of v(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/108040 and 91\/80.\nAnswer: 216080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 + 0.56?\nAnswer: 119.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16219849579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 143 - 71. Let v(s) = 4*s**2 - 37*s - 829. What is the remainder when d is divided by v(20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24069156.\nAnswer: 2, 3, 2005763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from rmoeosrorsrss?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j - j**2 - 3*j**2 + 2*j**2.\nAnswer: -2*j**2 - 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 33*z**3 - 19*z**3.\nAnswer: -51*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*v - 5 + 13, -3*v = -3*z + 24. What is the units digit of 333\/5 - z\/(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10809602 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - j**4 - j**3 + 2*j**3 + 0*j - 2*j**2 + 0*j**4 - 2*j to g*j**3 + r*j**2 + a + x*j**4 + p*j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2, 2*r - 9 + 1 = -3*n. Suppose 2 - 10 = -n*f. Suppose -3*i + 4*x = -119, 0 = -0*i - f*i + 4*x + 86. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 863701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)*3)\/sqrt(6) + sqrt(84)\/(-4*sqrt(12)).\nAnswer: 11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22546737 to the nearest integer?\nAnswer: 4748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 408 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 91297175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/39116 and 51\/83312.\nAnswer: 6415024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f + f. Let l be 3\/((-6)\/f) - -11. Let q = l + -5. Calculate the remainder when 6 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11533\/203652?\nAnswer: 11533\/203652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 - -39. Let m = u - -38.7. Which is the nearest to -0.1? (a) -2\/11 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010101100 (base 2) to base 11\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -43. Let u = -52 - -1198\/23. Which is the smallest value? (a) u (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/8)*z*z)\/z*z*z**(-2\/5)*z**11*z*z\/(z*z\/(z\/(z\/(z*z**9)))))**(-8\/3))**(-49) assuming z is positive.\nAnswer: z**(14847\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 31, 54, 81, 112, 147, 186?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587532 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*l - l + 3*l)*(-2 - 3 + 4) + 4*l - 4*l + 2*l)*(0 + 1 - 5).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5 + 6*h**4 + 377652*h**3 - 1397*h**2 + 3962 wrt h?\nAnswer: -120*h**2 + 144*h + 2265912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -26*x + 658. Let s be d(25). Solve -4*f + 23 - s = -b, b = -3*f + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74848 smaller than 72620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -191, -201, -213, -227?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y + 11*y**3 + 4 + 3*y**3 + y - 2.\nAnswer: 14*y**3 + 7*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = y - 23, 3*y + 9*q - 57 = 6*q. Let w(s) = 2*s. Calculate w(y).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2. Suppose 2*w + 2*w = -z + 54, 30 = 2*w - z. Suppose -3*u = 3*o - 46 - w, u - 14 = 2*o. Let h(n) = -3*n + 18. Give u*i(a) - 2*h(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 8. Suppose -h*p = -4*n + 12, 3*n = -p + 7*n - 8. Suppose 5*z + 145 = 165, 3*v - 5*z = -32. Is p at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + t + 177. Let n = -61 - t. Let d(r) = -2*r**3 + r. Give d(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*r**3 + 2 + (-r**2 - 11*r**2 + 0*r**2)*(-r - r + 3*r) + 56*r**3 + 0 - 2*r**2 - r - 1 - 57*r**3.\nAnswer: -11*r**3 - 2*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 4*l**2 - 5*l + 2. Let b be r(-6). Suppose 0 = -5*w + b - 384. Let c = -34 - w. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 70\/8 - (2 - (-10)\/(-8)). Let n(o) = o**3 + 5*o**2 + 3*o - 1. Let s be n(-3). Solve 6*t - p*t + s = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 112501*n**6\/120 + n**5\/20 + n**3\/3 - n**2. Let q be v(-4). Let h be q\/(-2) + -3 + -4. Round h to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 7:47 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 8481294 and 8481295 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55*k**2 + 132*k**2 + 40*k**2)*(7*k + 2*k + 3*k) to v*k**3 + b + a*k**2 + p*k and give v.\nAnswer: 1404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + bb7?\nAnswer: ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - -12)\/((-675)\/225))\/(3\/(-2))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16471995.\nAnswer: 3, 5, 1098133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12419477 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - -0.34. Let x = -5 - 8. Let q = -10 - x. Which is the nearest to 1? (a) q (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/2 - 2)*2 - -123. Let s = v + -31. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7214 is divided by (7 - 4 - 1) + 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.00731 greater than or equal to -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.5 (c) -1\/6 (d) -3\/2 (e) -3\/4 (f) -653.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10134280 - -14904280. Round t to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -29. Let w = 41 + c. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10352757 is divided by 2904.\nAnswer: 2901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 4, -8190, -1, 0, -2.\nAnswer: -8190, -2, -1, 0, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 13. Suppose -j = 4*b - 10 - n, 5*b + 3*j = 18. Let f(x) = -x**3 + 5*x**2 - 4*x - 1. What is f(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**6\/60 + i**5\/30 + i**2 + 7. Let j(z) be the second derivative of m(z). Find the third derivative of j(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 7:15 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3833, 7664, 11495, 15326?\n\"Answer: 3831*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 5*l**2 + 6*l + 4. Let s be p(6). Let g be (-14 - -13) + ((-18)\/(-7) - 2). What is the nearest to 1 in g, 9, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-3 + (0 - -3)) + 0. Suppose 6*v - 3*v - 3 = 0. Solve -i + g = -v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 11. Suppose y - 2*i + 13 = -7, 0 = 4*y - 4*i + 72. Let x be p(y). Let b(d) = 3*d + 2 - 4 + 0. Let v(r) = 6*r - 5. Give x*b(k) + 2*v(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163 - 74. Let g = -85 + p. Suppose -34 = g*c - 6*c. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 146116 + -3?\nAnswer: 146113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 781*j - 800*j + 133 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l + 3*x = -12, -3 = x. Sort 5, l, -3, 1 in increasing order.\nAnswer: -3, l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 4\/7 (b) 4 (c) 1\/2 (d) 0.016 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + 3*z**4 + 0*z**4)*(10*z + 8*z - 5*z) + (-z**4 - 2*z**4 + 2*z**4)*(z + 5*z - 4*z).\nAnswer: 24*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/7)\/(((-9)\/(-15))\/(154\/110)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43806 is divided by 42067?\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 2*p - 9*i - 52, i + 122 = 5*p. Calculate the greatest common factor of p and 180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1194674043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 374\/(-924) - 2\/12?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*1)\/((-6)\/(-12)). Let k be (c\/(-2) - -36)\/1. Suppose j + 2*l = 6*l + k, -4*j = 2*l - 58. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109475*-0.26.\nAnswer: 28463.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -50*q + 54*q, -4*z + 2*q - 10 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 + 7)\/1 - 1*-9. What is the closest to y in 1, 0.1, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 + 0*h**3 - 4*h**3)*(-2 + 2*h + 1 + 15*h).\nAnswer: -17*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 - h. Let s be -2 + 0 + (1 - (6 + -6)). Let z(a) = 5*a - a + a**2 - 5*a + 2*a. Calculate s*k(x) - z(x).\nAnswer: 2*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k**2 + 27*k**2 - 2*k**2 + 56*k**2. Let y be x(-1). Suppose -y + 14 = -5*b. Solve 9 + b = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1.969 (b) 3\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11*d + 122. Let t be g(11). List the prime factors of (-10 - 497)\/(-2 + t).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007287851 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*c + 15 = 0, -3*b - c + 5 = -4*b. Suppose 3*u - 36 = -b*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*j - 48. Suppose 2*y - 3*c = c + j, -y - 5*c = 15. Let p = y - 0. Solve p = 2*u - 5*u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.1 times 2765258?\nAnswer: -74938491.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*x**5 + 131*f**2*x**3 + 19*f**2*x - 4*f**2 wrt x?\nAnswer: 20*f**2*x**3 + 786*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/202155?\nAnswer: -4\/202155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**4\/6 + 4*f**2 - 134. Let k(n) = -289*n. Determine k(d(m)).\nAnswer: 1156*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 10:30 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 45 = -5*w + 84, -5*m - 2*w = -312. Solve 11*y + 20*y = -m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, 0.3, -2\/3, 0.04 in increasing order.\nAnswer: -8, -4, -2\/3, 0.04, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) - (-54)\/(-8). Let v(y) be the third derivative of -y**5\/60 - 7*y**4\/24 + y**3\/3 + y**2. Let u be v(m). Solve 0 = -u*q + 5 + 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 174507019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*m - m - 28*m)*(-134*m + 134*m + 2*m**2).\nAnswer: -94*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(-1) - ((-8970912)\/24300 - -369)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -455.3, -0.1, -2.2, -3, -2\/19 in increasing order.\nAnswer: -455.3, -3, -2.2, -2\/19, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 1.5, 0.28, -3?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159043583?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**33*n**6\/((n**(6\/11)*n)\/n) assuming n is positive.\nAnswer: n**(-243\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) + (-1)\/(-3). Suppose 3 = 4*v + 5*b, 4*v = -k*b + 2*b + 10. Let t(s) = v*s**2 + s**2 - 5*s**2. Let l(i) = -3*i**2. Give l(t(r)).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5.9 (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3*w**2*w\/(w*w**(1\/6))*w*w**(-3\/4))**16 assuming w is positive.\nAnswer: w**(244\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.3774446us in weeks?\nAnswer: 0.0000000001064441875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**3 - 5*w**3 - 3*w**2 - 3 + 1 + 0 to q*w + r*w**2 + i + l*w**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgodooododgooddgg. Give prob of sequence ddoo.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4683294*c**2 - 2*c + 139911876.\nAnswer: 9366588*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 + 4.1. Let f = t - 5. Let y = -4 + 3.7. Sort y, f, 4 in decreasing order.\nAnswer: 4, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 24 + 18 = 3*b, 4*k = -3*b + 78. Let l be 2\/(-4) + (-10)\/(-4). Suppose -l*m + 14 = -2. What is the least common multiple of m and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1964579 - -6?\nAnswer: 1964585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -2*r - 6, -93*f - 10 = 4*r - 98*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzkozrqk. Give prob of sequence zq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/269 in 3, 14\/41, -4, 3\/8, -1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 4*x + 4*x)*(-1 + 18 - 5) + 9 - 16 + 45*x + 9.\nAnswer: 81*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**3 - 106850*m**2 - 1603655*m - 4704700 = 0.\nAnswer: -11, -4, 21385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31056 times -0.5?\nAnswer: -15528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1076\/505 or -2?\nAnswer: -1076\/505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223133777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -850*x + 4280*x - 859*x - 859*x - 859*x - 857*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 303*o**3 - 278*o**3 + 28*o + 0.\nAnswer: 25*o**3 + 28*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -838, -1894, -3372, -5272, -7594?\nAnswer: -10338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229 - -177. Let k = 1315 - y. What are the prime factors of k?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 484.12 + -471. Let t = -0.12 + z. Let g = t - 13.0001. Round g to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z\/(z\/z**(-13)))*z**8)**1 assuming z is positive.\nAnswer: z**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t = -26*t + 469 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122525 + 161785 = 135*s. What is the smallest common multiple of 78 and s?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-26)\/(3 - (-34)\/(-10))?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003838476 rounded to five dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13114723.\nAnswer: 13114723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*c - 117*c - 120*c + 345*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l - 11*l + 16*l - 27*l + 11*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -531 + 533. Let n(z) be the second derivative of 0 + 0*z**3 + 1\/12*z**4 + 0*z**g - 25*z. Let r(l) = -4*l. What is r(n(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z + 7. Let v(r) = -6*r - 7. Let w(h) = -4*l(h) - 3*v(h). Let s be w(-5). Solve -k - 3*k + 12 = -s*q, -5*k = 4*q + 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + ((-17)\/3 - -7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 3*s + 7 + 13, -3*s = -3*u + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 16 = 0, -l - l + 986 = -3*n. Let g = 3414 + -3344. Calculate the remainder when l is divided by g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, 9, 3\/4 in decreasing order.\nAnswer: 129, 9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 11 = 3*a, -6*z + z - 40 = -4*a. Suppose -165 = -a*f - 0*f. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a kilometer in meters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 14*s**2 + 6. Let t be b(-14). Let o = 11\/2 - t. Let n = 28175\/12 - 2345. Find the common denominator of o and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 362*v**2 - 1967*v - 60157. What is j(356)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -40*l**6\/3 + 1567*l**2\/2 - 65*l + 4. Find the first derivative of o(y) wrt y.\nAnswer: -1600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 57 - h**3 + 2*h**3 + 413 - 3*h.\nAnswer: 2*h**3 - 3*h + 470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -11*n**7\/35 - n**6\/20 - 7*n**4\/24 - 19*n**3\/3 + 22*n**2 - 2*n + 2. What is the second derivative of l(z) wrt z?\nAnswer: -792*z**2 - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r + 10. What is f(-7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4807871 and 69178.\nAnswer: 9615742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5 + 52*p**4\/3 + 170*p**3\/3 + 260*p**2\/3 + 184*p\/3 + 16 = 0. What is p?\nAnswer: -3, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -302, 0.5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-4*(sqrt(1584) + 1) - sqrt(1584)) + (5*(sqrt(1584) - (0 + sqrt(1584))))**2) + sqrt(1584)*-1*1*6*3.\nAnswer: -456*sqrt(11) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2\/11, -3, 2, -5468\/63, -2 in descending order.\nAnswer: 2, 2\/11, -2, -3, -7, -5468\/63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1528*b + 1771*b + 9897 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7548 + 122868 = 12*b. Is b a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*a + 5. Let d(z) = 4*z + 1. Let k be d(5). Suppose -3*t + 3 = -2*s, s - a*t = -5*t + k. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15673500 divided by -450.\nAnswer: 34830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.940873537 rounded to 2 decimal places?\nAnswer: -6.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49976*m**2*t - 13361*m**2 wrt t.\nAnswer: -49976*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*h = -4 - 2, 0 = 5*v - h - 15. Suppose v - 7 = u. Is 49 + 0 + 3 + u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + -0.1. Let p = 3.1 - c. Suppose -5*w = 2*n + 7, -5*n - w = 3 + 3. Is p bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 164250001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from jujqfqjjquufqyuf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67971, 271911, 611815, 1087683, 1699515?\nAnswer: 2447311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 11. Let r be p(-18). Let i be (-2)\/6 - 4\/(-672)*r. Let n = -3 + 2.6. Which is the third smallest value? (a) n (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 36037945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2613 - 614 = 0. Let g(w) = -w**2 - 461*w + n*w. Let j(r) = -76*r**2. Give j(g(b)).\nAnswer: -76*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1330*t + 93*t - 1009*t + 61*t to the form w + m*t and give m.\nAnswer: -2185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 8:39 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16575 and 17655690?\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1690, 6236, 13818, 24442, 38114?\nAnswer: 54840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3958867 centuries to millennia.\nAnswer: 0.03958867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2354898976.\nAnswer: 2, 23, 3199591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 - 85*z**2 - 97*z - 1937. What is l(-28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*z**2 - 3 + 0*z - 2*z)*(2 + 0 + 0 + (2 + 4 - 4)*(29 - 32 + 99)).\nAnswer: -388*z**2 - 388*z - 388","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 9534.\nAnswer: 47670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -34. Let p = z + -30.5. Let q = 0.06 + -0.56. Which is the nearest to 1\/2? (a) 2 (b) q (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(-3*w + 3*w + w) + 0*w - w + 2*w - 1642*w - 428*w - 5142*w.\nAnswer: -7210*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2392 + 2398. Suppose 0 = 5*p - 3*a - 43, 2*p - 5*a - 6 = -a. Find the third derivative of 7*r**2 + s*r**2 - p*r**3 - 2*r**2 - 10*r**3 wrt r.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 13*b**2 + 11*b + 12. Let x be h(12). Suppose -a - 2*a + 12 = x. Suppose -a*j - j = -195. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 0 + 0)*((-4*u + 3*u + 2*u)*(322 - 322 + 234*u) + (-2 - 3 + 6)*(-2*u - u**2 + 2*u)).\nAnswer: -233*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212486, -212332, -212076, -211718, -211258, -210696, -210032?\nAnswer: -209266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3428280*w - 31*w**3 + 6417*w**2 + 19*w**3 + 8*w**3 - 3434700 + 7*w**3 = 0. What is w?\nAnswer: -1070, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3682\/155 + -755\/31. Which is the closest to 2? (a) 478 (b) -0.5 (c) y (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -222648303 and -19.468.\nAnswer: -222648322.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is b86 (base 15) in base 5?\nAnswer: 40401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + (-3 - (-6 + 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s - 2*c = 72, -4*s = -2*c - 148. Calculate the remainder when ((-4)\/(-6))\/(8\/1308) is divided by s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*u - 40 = 0, 3*o + 80 = 3*u + u. Let i = -36 - o. Let a be (-6)\/i*3\/(-27). Put a, 3\/2, -3 in decreasing order.\nAnswer: 3\/2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {l: 7, p: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010996 to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 714*a**2. Let u(c) be the first derivative of -c**2 + 2373. Calculate u(g(d)).\nAnswer: -1428*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/9 (b) -0.1 (c) 0.37 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 16. Let f = c + 12. Let u(j) = -86*j + j**2 + 86*j. Let t(b) = -3*b**2 - b. Give f*u(i) - t(i).\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-999 + 37*m**2 + 999)*(-443 + 20 - 66) in the form x*m**2 + y*m + g and give x.\nAnswer: -18093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 74\/(-4) + 2\/4. Let h be (-122)\/18 - (-4)\/c. What is the units digit of -2 - h - (-6)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/260 and -111\/1820?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45241\/60 + -754. Let s(o) be the third derivative of 0*o + 0*o**3 - j*o**5 + 0 + 2*o**2 + 0*o**4. Let t(w) = 5*w. What is s(t(n))?\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 14*s. Give k(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.855 - -0.145. What is the second smallest value in s, 6, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 4. Let q be u(7). Let o = 1 - q. Suppose 4*j - 2*h + 19 = 5*j, -2*j = -o*h + 2. Solve -34 + j = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/7 + 8\/14. Solve u + 2 = -a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 62.905. Let j = 0.9 - 0.925. Let n = j - p. Which is the closest to n? (a) 4 (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**2*t**3 - m**2*t**2 - 89949*m**2*t + 269*m*t**3 - 487*t**3 + 3*t**2 wrt t.\nAnswer: 18*m**2 + 1614*m - 2922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*d + 7*k + 10, -3*d - k = 10. Let u(t) = -1 + 0*t - 6 + 4 + t. What is u(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkq when three letters picked without replacement from {w: 2, y: 2, q: 1, k: 1, i: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.00999844 - -0.01. What is n rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 117.5, -1\/5, -5 in increasing order.\nAnswer: -5, -1\/4, -1\/5, 117.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 6 + 2)*(1 + 2*y - 1) + 289*y + 278*y - 185*y + 344*y + 405*y + 54*y as w*y + r and give w.\nAnswer: 1191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g**(-2\/17)\/g)\/g)\/g))\/(g**(2\/39)*g) assuming g is positive.\nAnswer: g**(2033\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*j + 21 = 0, -5*d - 65*j + 62*j = -7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -2 (c) -1\/6 (d) 0.1 (e) 48.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**5 + 27998*n**3 - 7*n - 21667 wrt n.\nAnswer: 40*n**3 + 167988*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*133\/(-63) - 4\/(-6). Suppose -5*z = -5*g + 16775, 6*g - v*g + 3351 = z. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 - -0.34. Let i = -1.2141 + 1.7141. What is the closest to i in s, 0.2, -3, -2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537*g**2 + 284*g**2 + 255*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 604611 - 3?\nAnswer: 604605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*d**4 - 1147*d**3 + 1075644*d**2.\nAnswer: 2064*d - 6882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1753 + 1760. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 12*z - 6. Let r be p(12). Let x(y) = 77*y**2 + 213*y + 27. Let v(o) = -39*o**2 - 106*o - 14. Let a(m) = r*x(m) - 13*v(m). Factor a(l).\nAnswer: 5*(l + 2)*(9*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18370 - -18718. Calculate the least common multiple of 2349 and w.\nAnswer: 9396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1946 and 92051638?\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -341\/36 - -37\/4. Let q(y) = y**2 + 215*y + 1. Let r be q(0). What is the second smallest value in 6, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 3*o. Let j(l) = -l**2 - l. Let q(c) = -6*j(c) - 2*x(c). Let r(n) be the third derivative of -n**5\/20 - 2*n**2. Calculate q(r(k)).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 16) to base 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40959, -42428, -43897, -45366, -46835, -48304?\n\"Answer: -1469*b - 39490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 647627760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1122221.061046 - 1122222. Let s = v + 0.94. What is s rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -64 - -246c3?\nAnswer: 2465c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3689027 - 209*x**2 - 3689027.\nAnswer: -209*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x - 2*x**3 + 11\/12*x**4 + 0 - 26*x**2 - 1\/10*x**5. Factor k(q).\nAnswer: -2*(q - 3)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2397, -3044, -3691?\nAnswer: -4338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p**5 + 167*p + 2165*p**2 + 88*p + 4855*p**3 + 2875*p**4 - 60*p**5 + 35*p = 0. What is p?\nAnswer: -1, -1\/3, -2\/7, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/2 - (45 - 37). Let b be (-1)\/3*(8 + d + 7). Let q be 2\/7 - (-2)\/(-7). Solve -t - w + q = 4, -4*t + b*w = 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38836.\nAnswer: 2, 7, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 = -5*d, 5*d - d = 2*y - 2. Let o = -1 - -3. Solve o*n = n + d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1460\/14 + (100\/(-14))\/25. Suppose 2*p - 14 = -0*p - 2*i, 3*i - 5 = -p. What is the highest common factor of q and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/6 - (-1)\/(-3). Suppose u*c = 1786 + 2229. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -2*y - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 736633 divided by -150.\nAnswer: -736633\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 34.8. Which is the nearest to r? (a) -0.5 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3074 - -0.08\nAnswer: -0.2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2, 860, 3, -4, 7\/5?\nAnswer: 860","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147 by -149.\nAnswer: -147\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -15*n - 72. Let l be a(-5). Suppose m - 36 - 17 = -l*p, 1 = p - 3*m. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 0*k**3 + 4 - k**3 + 2*k**3 + 7*k**2 + 4*k. Suppose -6 = 2*j + f + 7, 3*f - 9 = 2*j. What is the remainder when u(j) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*l**5 - 3*l**3 + 324*l**5 - 158*l**5 + 3*l - 11*l**4 - 4*l**3 + 11*l**2 = 0.\nAnswer: -1, -1\/4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a)**(-32)*(a**7*a)**(-26) assuming a is positive.\nAnswer: a**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89\/6 - 15. Which is the biggest value? (a) 0 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 2, g: 2, w: 1, p: 1}. What is prob of sequence wy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4296618 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 87*r**2 - 239*r - 1156. Let j(c) = -2*c**3 + 132*c**2 - 358*c - 1733. Let z(a) = -7*j(a) + 11*t(a). Factor z(q).\nAnswer: 3*(q - 5)*(q + 3)*(q + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**16)**(-10)*y**(-7)\/y**(8\/9) assuming y is positive.\nAnswer: y**(-1511\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 1. Let k be (-1 - 1)\/6*-27*3. Let p = k + -37. Let b be -8*(-5)\/p - -3. Give u(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 24.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1265389 kilograms?\nAnswer: 126538900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-4*4\/(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 20*o**4 - 248*o**3 + 436*o**2 + 464*o - 240 = 0.\nAnswer: -1, 2\/5, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -10*q**2 + 0*q + 0 + 1\/6*q**3 - 1\/8*q**4. Determine f(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h + 3. Let s be a(-10). Let l = s + 83. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*n + 11*o - 10*o, -o + 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015229 is divided by 129.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 120*h + 684. Let c be m(114). Let s = -0.04 - 1.96. What is the second biggest value in -0.3, c, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 5*j - 9 = -3, 5*j + 61 = 3*l + 73 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((2 + -12 + 5 - -9) + 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 10*y**2 - 10*y + 58. Let v be j(8). What is v rounded to 0 dps?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 s, and 1 c when three letters picked without replacement from bshlchchlchclhc?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -698892 * 0.05\nAnswer: -34944.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 246951847229.9 and 9.7.\nAnswer: 246951847239.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 1 + (319 - 332)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6092 (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87381 - 0?\nAnswer: -87381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 + 1 = 482*o - 514*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s + 4*s + 4*s - 6*s - 41. What is the remainder when 91 is divided by g(16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwhlhl. Give prob of sequence kh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-1)\/8)\/((1168272\/(-448))\/(-183))?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-924)*11)\/(4\/14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 16) to base 7\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 1, k: 6, v: 3, a: 4, i: 5}. What is prob of sequence oh?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 48 - 268 = 0. Suppose 0 = -17*a + 18*a - p. Calculate the remainder when -3 - (2 + 3 + -116) is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4154345 - -3?\nAnswer: -4154342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 249867*l**3 + 672416*l?\nAnswer: 1499202*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 535b92 (base 12) to base 9\nAnswer: 2426152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1642 = -468. Suppose 0 = -5*r - p + 22, -4*r + 3*p + 32 = -p. Suppose r*b + w = x, 708 + 337 = 5*b + 3*w. What are the prime factors of b?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18382*o**2 + 11*o - 525 wrt o?\nAnswer: 36764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 3684376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -50*q**3 + 4*q**2 + 22*q + 18. Calculate the remainder when 84 is divided by l(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 - 108 = -3*c + q, 4*q = 5*c - 421. What is the smallest common multiple of 3 and c?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 21*r + 7 - 15*r + 0*r**3 - r**3 - 4 + 6*r**2. What is j(6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026448928 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26226838.\nAnswer: 2, 11, 53, 83, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v - 38*v + 100*v - 105 = 0. Put 4, -12, 1, -5, v in decreasing order.\nAnswer: v, 4, 1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777 = 17*m - 5*m + 813 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383864*b + 5145 = 383759*b for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935541.\nAnswer: 3, 19, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 697087461 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-11 + (5 - (-17 - -7))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - 19 + 19 - s**2)*(0 + 4 - 3).\nAnswer: 3*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*b**2 - 11*b**2 - 94*b**2 - 92*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11320, 45451, 102342, 181999, 284428, 409635, 557626?\n\"Answer: b**3 + 11374*b**2 + 2*b - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 15*n**3 + 6*n**2 - 9*n + 2. Let b(o) = 7*o**3 + 3*o**2 - 4*o + 1. Let p(z) = 13*b(z) - 6*h(z). Let i be p(-2). Solve i = -5*g - 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-809*f**2 - 1132 - 3627*f**2 + 1132)*(2 + 2*f - 2)*(3 - 2 - 2) in the form o*f**2 + z*f + k + v*f**3 and give v.\nAnswer: 8872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 16.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 + 1030?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -64599 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 987304 and -0.392?\nAnswer: 987304.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 84*k + 2198. What is a(-105)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-10) - (-42)\/(-70)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88.7 + 80. Let m = -6.58 - i. Let w = 2.1200588 - m. What is w rounded to six decimal places?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-253)*((-305)\/(-10))\/(-61)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10607, 20984, 31279, 41450, 51455, 61252, 70799, 80054?\nAnswer: 88975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91*81442.\nAnswer: -7411222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1416925 and 41800?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -6*z + 4*z. Let j = 47 + z. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**5\/20 + b**4\/2 + 2*b**3\/3 + b**2 - b. Suppose -2*c - 6 = 4. Determine r(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 76 - 11*c - 24*c + 2 - 72*c. What are the prime factors of w(-3)?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 51. Suppose f*r + 104 = -2*r. Is r <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1.4. Suppose o - 4 = 4. Let f be 1\/(-1) - ((-1)\/(-2) - 1). Which is the third smallest value? (a) o (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*m + 394 = -0*s, -5*s - 3*m + 668 = 0. Solve -65 = 17*l - s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*c = 83788 - 95957 for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**6\/120 + m**5\/15 + 2*m**2. Let o be q(-4). Suppose 4*v + 2*w - 110 = o, -2*v = -3*v + 3*w + 17. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7537 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j + 81. Determine v(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x + 113 - 28 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/52290 and 47\/18.\nAnswer: 52290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2 - 63\/14. Let a(o) = -o - 10. Let m be a(t). Let h(w) = -3*w - 3. Give h(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/429*(6996\/8)\/(-3)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + 3*n - 13*n + 3*n + n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnnnnl. Give prob of sequence nnl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/(-1*(-3)\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72087 and 37.\nAnswer: 2667219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -10.5, -278, 14.6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6484*b**2 + 2953*b**2 + 3563*b**2.\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*a + 7 = -a, -j - 4*a = -27. Solve j = 4*z - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -5 (b) 1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 62 + 143 + 2*n**2 - 205 - 15*n. Let r(a) = 9*a. What is i(r(x))?\nAnswer: 162*x**2 - 135*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t - 12 = 0. What is the second derivative of -5*g - 13*g**t + g - 2*g wrt g?\nAnswer: -78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**24\/(s**(-3\/8)*s**7))\/((((s\/(s\/(s*s\/(s\/(s\/(((s*s**(-2\/7))\/s*s)\/s))))))\/s)\/s)**(-32\/3))**(-16) assuming s is positive.\nAnswer: s**(-13337\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*s + 12, 0 = 4*w - 5*s + 8. Let u(o) = 6*o**3 - 8*o**2 + 3*o - 6. Let y(b) = -b**3 + b**2 - b + 1. Let a(p) = u(p) + 5*y(p). Determine a(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 228 - 145. Let i = -59 + b. Calculate the greatest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 12:28 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*q - 260 = -q + 145 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**3\/2 - 15*m. Let r(i) = -11*i. Give k(r(q)).\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 202*q**3 - q**2 + 4*q - 3. Calculate the remainder when 203 is divided by k(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579109020?\nAnswer: 2, 5, 5653, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 0*u**2 - 2 - 3*u**2 + 13*u - 5*u**2. Let b(d) = d**3 - 13*d**2 - 305*d + 2435. Let x be b(7). What is i(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*f**3*n**2 + 2*f**3 - 13*f**2*n + n**3 + n wrt n.\nAnswer: -30*f**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*a + 51, -5*s + 67 = a - 0*a. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187920 divided by 20\nAnswer: -9396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Suppose 0 = 3*i - v*i - c, -2*i - 2*c = 0. Let j be (6\/(-8))\/(3 - i). What is the second biggest value in -0.4, -2, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21655.\nAnswer: 5, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*d*i**3 - 21*c**3*d*i**2 - 12501*c*d*i**3 + 66*c*i**2 - 3*d wrt i?\nAnswer: -12*c**3*d - 75006*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*j - 22, m + 5*j - 18 = 1. List the prime factors of (3 - 5)*m + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/53 - 379\/2544. Let d = -12038.01 + 12038. What is the second smallest value in d, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 plus 1424?\nAnswer: 1424.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57489 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*p + 642 = -220, 870 = 2*n + 2*p. Let w = 2200 + n. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 1 - 21, -17 = 3*a - p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -11 + 52 - 45 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/27 - (-2387)\/9765)\/(12\/(-5)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/4*(-80)\/(-50). Let y = -2 - -2. Let i = 0 - y. Is i at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2 and -97\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(78\/(-64))*114\/(-76)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9487*f + 9489*f = 4*k, 4*k + 16 = 4*f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 3 + 6 + 3491*h - 9.\nAnswer: 3491*h - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/243*44\/12*8\/(-132)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(-46)*(-2 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*w**3*z**2 - 8*w**3 - 14*w**2*z**2 + 5*z wrt z?\nAnswer: 16*w**3 - 28*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + k - 3. Let z(b) = b**2 - 10*b + 12. What is 4*l(p) + z(p)?\nAnswer: 5*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18a + -16b?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 1182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169 (base 12) to base 16.\nAnswer: e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 10*m - 5. Let k = 27 - 38. Let p be n(k). Let x(f) = -17*f + p*f + 12*f. Let s(a) = -11*a. Calculate x(s(y)).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 270172\/11 or 24561?\nAnswer: 270172\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 122, 236, 340, 434, 518, 592?\n\"Answer: -5*o**2 + 129*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/153 and -7\/3400.\nAnswer: 30600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13345 is divided by 63?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 527823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61824, 247217, 556198, 988767?\nAnswer: 1544924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 18 = -3. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 + -663\/7. What is the third biggest value in -4, -0.5, 0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:38 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 16 = 5*n, -3*q = -2*q - 5*n + 8. Let h be (-8)\/(-2)*(-60)\/80. Let v(b) = -8*b - 8. Let f(t) = 14*t + 17. Let s(i) = h*f(i) - 5*v(i). Give s(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - ((0 + sqrt(1100) - sqrt(1100))*5 + sqrt(1100))) + sqrt(1100) + 1 + 4)**2.\nAnswer: 100*sqrt(11) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o + 71*o + 380 = 79*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 36*t - 11. Let d be j(5). What is the highest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/15 - 3592*s**2\/15 + 28864*s\/15.\nAnswer: -2*s*(s - 8)*(s + 1804)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -20, -2.\nAnswer: -20, -6, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2971 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + z = 2*z + 14, 3*z = 2*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/(2\/3). Let u(d) = -d**3 - d**2. Let m be u(n). Let k = 0.1 - 0.1. What is the closest to k in -4, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 388908203 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 11*n + 8. Let g be j(7). Suppose 2*k - g = 4*f - 88, 0 = 5*f + 2*k - 74. What is the lowest common multiple of f and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 5*f = 4*u - 15, -2*u = 4*f + 16. Let m = -7 - u. Solve -x + 10 = -0*h + 2*h, -m*x + 26 = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {i: 1, a: 1, l: 1, j: 2, v: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 5 = -9*g. Suppose 2 = -5*s - 8. Let m be (-1 + 1)*s\/4. Solve m*f - g*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 6\/5*t**5 + 0*t**4 - 13 + t**2 - 1\/120*t**6 - 1\/42*t**7 + 0*t + 0*t**3. Find the third derivative of j(i) wrt i.\nAnswer: -120*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 4\/4 - (-7 + -3). Suppose 8*l - 5 = n. Factor -w**2 + 12*w - 107 - 3*w**l + 99.\nAnswer: -4*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 32?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1053*h**4 + 1186*h**4 + 0*h + h**2 + 0*h - 5 + 6 as v*h + p + y*h**2 + a*h**4 + q*h**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46715 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 39*m - 233. Let l be j(31). Put 1, l, -3 in descending order.\nAnswer: l, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 10. Let p(s) = 4*s**3 - 2*s**2 - 2*s + 2. List the prime factors of p(v).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azfzfehzzzfeyff. Give prob of picking 1 h, 1 a, and 1 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 16 = -6*h. Suppose -h*q = 2*u - 30, 4*q - 3*u - 2*u - 51 = 0. Let l = q + -5. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 5*c - 235. Suppose 0 = -3*k + 16 + c. Solve -5*d + 2*i = k, 3*d - d + 21 = 5*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 16, 4*u - u - 183 = -3*k. Let r(d) = k + 11*d**2 - 57. Let m(x) = -2*x. Give r(m(s)).\nAnswer: 44*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f + 22 + 155 = 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**3*u**2 + 27*c**3*u + 28*c*u**2 wrt u?\nAnswer: -8*c**3 + 56*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15085696433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 22. Let u be (-78)\/p + (-4)\/(-6). Solve -u*a = -3*y - 12, y = 2*a - 0 - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhnhuuvhxdhvdxxvx. What is prob of picking 1 v and 1 n?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5856 take away 1.3408098?\nAnswer: 5854.6591902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 + 17*n**2 - 12*n - 27. Let d be r(-9). Solve 5*t + 3 + 7 = d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 23. Let f = 31 + -12. Let a be s(f). Suppose a*l - x = 143, 35 = l - 0*l - x. Calculate the greatest common divisor of l and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 12 = -s, 4869*s - 4866*s - h - 11 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 4 - 2)*(-3012*p + 5450*p - 2734*p).\nAnswer: -3848*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o - 8. Let m be z(-4). Let u = m + -22. Is u != 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j + 3*j - 12*j.\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 12:54 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 8 + 2. Let k = -14.1 + 13.8. Does z = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*y + y. Let k = 6 - 3. What is the least common multiple of k and 9 - y\/(3 + -7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v - 15*v + 24. Calculate the remainder when v is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221410 divided by 3163\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiilli. What is prob of sequence ili?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, -2, 5, 10, 3, -12.\nAnswer: -12, -2, -1, 3, 5, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89642119\/1255 + 71428. Let r = i - 284071\/26355. Let g = r - -34\/3. What is the common denominator of g and -5\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*14\/(-105)*(-18)\/(-4). Solve 0 = -5*f + c*v - 1, -10*f - 4*v = -8*f + 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180310635.\nAnswer: 3, 5, 353, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -5. Suppose -4*s + 56 - 12 = -v*r, -2*r = -s + 14. Let u(y) = y**3 - 5*y**2 - 7*y + 9. Calculate the least common multiple of s and u(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*j = -2, -5*b + 55*j + 4 = 52*j. Let p(k) = -20*k**2 - 2*k. Let z(m) = 621*m**2 + 63*m. Determine b*z(u) + 63*p(u).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -46, -70, -94, -118, -142?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-113568)\/(-54080))\/(4\/8).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**3*k + 1614*j*k + 4*j + 29790*k wrt j?\nAnswer: -3*j**2*k + 1614*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*u**2 + 1428*u - 1428*u.\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 9*m**2 - 1 + 2 + 0 - 3 to l*m**2 + u + d*m and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 - 6*p**2 + 2*p**3 - p**3 + 2*p + 1 + 0 to the form x*p + t*p**2 + z*p**3 + m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((18\/(-12))\/((-6)\/1)). Suppose 307 - 95 = y*p. Suppose -3*q - 5*i + 337 = 0, -4*i + 25 = i. Calculate the remainder when q is divided by p.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 5*g - 5. Suppose -g*y - 88 = 4*k - y, -4*k - 60 = -3*y. Let s = k + 42. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + -3 + sqrt(720) + sqrt(720)) + (3*sqrt(605))**2*-1*5.\nAnswer: -27240 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3168 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*r**2 + 14*r**2 - 45*r**2 - 22 as s*r**2 + l + j*r and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/651 and -11\/27?\nAnswer: 5859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2886? (a) -12 (b) -3 (c) -42 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93127523 or 93127537?\nAnswer: 93127523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11520 and 720?\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.3 and 0.113.\nAnswer: 3.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/14)\/(268\/469).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*k**2 - 4\/3*k**4 - 1\/3*k**5 - 2*k**3 + 0 - 1\/3*k.\nAnswer: -k*(k + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 73 = 7. Let d(z) = 25*z + 2. Let v(r) = 24*r + 1. Let q(i) = 3*d(i) - 4*v(i). Let u be q(-6). Calculate the highest common divisor of k and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 90308, 361257, 812838, 1445051, 2257896?\n\"Answer: 90316*d**2 + d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14317220 and 14317220?\nAnswer: 14317220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) 0.078 (b) -5\/2 (c) -1149 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*j - 2*w - 71, -89*j + 89*j - 55*w - 40 = -63*w for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 5. Let a be q(-5). Suppose -a*w + 2*c + 10 = -c, 4*w - 30 = -2*c. Let l = w - 8. Put -5, l, -2 in descending order.\nAnswer: -2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-2\/5))**(-3\/14))**(4\/11)\/(j\/j**(-2\/9)*j*j*j**0*(j**(-5)\/j)\/(((j**(4\/5)\/j)\/j)\/j*j)) assuming j is positive.\nAnswer: j**(4819\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -1051, -2762, -5157, -8236?\nAnswer: -11999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61904963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {z: 8, m: 1, q: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 290.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4978 divided by -6?\nAnswer: -2489\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -901 + 2485. Suppose -3*f - 5*b = 17, 3*f - 6 = -b - 7. Calculate the common denominator of 968\/t - f\/(2\/6) and -13\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -2268*b - 508\/21*b**3 + 1170*b**2 + 1\/7*b**4 - 28. Let m(u) = 0. What is u?\nAnswer: 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8193141 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 0*x + 4 + 0*x - 4*x + 3*x. Let i be (3 - -3)*2\/4. Let q(t) = -t + 5. Calculate i*d(p) - 2*q(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1077\/40 + -153\/10. Find the common denominator of m and 51\/188.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 0 - -3)*-34. Suppose 3*p - 5*m + 2*m - 84 = 0, -p + 4*m = -o. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7. Suppose m - 3 - 1 = y. Let v(g) = 3*g. Let s be v(2). Solve 7*l - 3*i + s = 4*l, -6 = -m*l - 3*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 3:43 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4649.4 to the nearest 10.\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 108*o**6\/5 - o**4\/6 + 484*o**2 - 2*o - 220. Differentiate d(a) wrt a.\nAnswer: 2592*a**3 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(63)\/(sqrt(18)\/sqrt(2)) - (3 + sqrt(63))) - ((1*sqrt(28) - (1 + sqrt(112))) + (sqrt(847) - (-2 + sqrt(847) + 0))))**2.\nAnswer: 476*sqrt(7) + 1661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067965 smaller than 42407789\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2\/18)*(-29 + (-1258)\/(-51) - -7).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/((700\/(-18))\/50)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l = 5*z + 44, 0 = 3*z. Suppose 2*p = 17 + l. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) 2 (c) 0.8 (d) 474\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 8 = 2*c, 2*c - 6*c - 5*n - 2 = 0. Let i = 5 + -15. Let z be (i\/(-15))\/(2\/(-6)). Put 4, c, z in increasing order.\nAnswer: c, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 17*z. Let t(x) = 22*x. Let s(v) = -11*d(v) + 8*t(v). Let o(p) = 494*p. Calculate -2*o(a) - 91*s(a).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 17*p**2 + 44*p - 15. Suppose 11 + 9 = 4*r. Suppose 10*o - r*o = 315. Calculate the remainder when o is divided by y(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 384\/176 - (-4)\/(-22). Solve 5*h + v = 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 8*x + 9. Suppose -3*l = 6, -4*c - 2*l + 5 = -c. Suppose -c*m + m + 94 = 0. Calculate the remainder when m is divided by w(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88.40003148 + 88.4. Round r to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**4\/8 - s**3\/6 - s**2. Let d be i(2). Suppose d*w = -20, u + 4*w + w = -17. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341022022 (base 5) to base 6\nAnswer: -52103240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1336 + 1331. Let n = 0.02 - -0.98. What is the second biggest value in c, -0.4, 52, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 - -45. Let w be 1 - 9\/(u\/100). What is the greatest common factor of w and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -678*n**3*x**3 + 13*n**3 - 4*n**2 + 9567*n*x**3 + 116626*n with respect to x.\nAnswer: -2034*n**3*x**2 + 28701*n*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 2, 0, 174?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-7)\/(-35))*-3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 8*m**4 - 9*m**4 + 2*m**3 - 12 - 15 + 15 - 19 to x*m**3 + b + y*m**2 + p*m + k*m**4 and give b.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4210645, -16842469, -37895511, -67369771, -105265249, -151581945?\n\"Answer: -4210609*y**2 + 3*y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((-36 - -7) + 31).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -2, -5, 26, 3 in descending order.\nAnswer: 26, 6, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 33*i + 109. Calculate c(-31).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -2 (c) 0.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and -155975878.\nAnswer: -155975877.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 40.103.\nAnswer: -53.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 6*l**2 + 6*l - 7. Let o be s(-7). Let j = 1 + -4. Let y be 1*j\/((-2)\/2). Solve o*v - y = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26990.599 * -5.\nAnswer: -134952.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**2 + 508730*u\/3 + 339160\/3 = 0.\nAnswer: -2\/3, 33916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -22*m**5 - 38*m**4 - 70*m**3 - 14*m**2 + 10*m. Let d(q) = 7*q**5 + 13*q**4 + 23*q**3 + 5*q**2 - 3*q. Let l(h) = 10*d(h) + 3*j(h). Solve l(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12576 - -20984. What are the prime factors of k?\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -176 - -146. Let p = c - -30.000117. Round p to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:40 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 2. Let x be n(0). Let b be 10*((-8)\/x)\/(-2). Let g = -11 + b. What is the remainder when 25 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 15*d + 0 in the form c*d + s and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*f*w**2 + 1575689*b**3*f*w - 14*b**2*f*w - 2*b**2*f - 52*b**2*w**2 + b*w**2 - 2*b*w + 32*f*w wrt b?\nAnswer: -6*f*w**2 + 9454134*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(90)\/sqrt(2))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n - 2. Let c = -13 + 25. Calculate the least common multiple of n and (c\/18)\/(2\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4135 + 7609. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -0.07, 2\/9, -3.\nAnswer: -3, -3\/4, -0.07, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(70) - 1*sqrt(70)) - sqrt(70))\/((sqrt(50) + sqrt(50)*2)\/sqrt(5)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) + ((sqrt(11) + sqrt(11) + -2 + 2)**2 - sqrt(11))).\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 262 + -259. Solve -2*n + a*v = -7*n + 34, 4*n - 2*v - 14 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99422505, -198845004, -298267503?\nAnswer: -397690002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11992.6 decades in millennia?\nAnswer: 119.926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6788 - 18229 = -17*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-5))\/(-8)*-4*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-40))\/u)\/u**(-22))**45 assuming u is positive.\nAnswer: u**2790","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - j + 6. Suppose -13*q + 15*q = -8. Let v be z(q). Let g = v - 9. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3385, -5, 11 in ascending order.\nAnswer: -3385, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83757*h + 83739*h + 43 - 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158102494?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, -20, -67, -154, -293, -496, -775?\n\"Answer: -2*u**3 - 2*u**2 + u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 18 = 4*a, -5 = -k - 2*a - 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 104.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 17)*((-49)\/(-14) + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -61, -254, -579, -1036, -1625, -2346?\n\"Answer: -66*w**2 + 5*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -79937 divided by -6149\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 + 2. Let s(m) = m**2 + 18*m + 51. Let x be s(-15). Let h(q) = -q**2 + 1. Determine x*h(l) - 3*y(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218183 and 3437749?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttqqtqtttqttt. What is prob of sequence ttq?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:32 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 18*t. Let y be (-5)\/((-75)\/9)*5 + 6. Let k be c(y). Let m be (6\/5)\/((-6)\/(-15)). Solve 7 = 3*l + 2*p, k = l + 4*l + m*p - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1058.\nAnswer: -2\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*k**2 + 235*k - 150.\nAnswer: -5*(k - 15)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 101728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.31 to zero decimal places.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 3:14 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 836, 6947, 23536, 55841, 109100?\nAnswer: 188551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-153)*3\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3))**(-7)*z\/((z*z**(-2\/15)\/z)\/z)*z*z*z*(z*z*z\/(z\/z**(6\/5)*z)*z*z)\/z assuming z is positive.\nAnswer: z**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.46568 minus 0.7?\nAnswer: 32.76568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:17 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + 9 + -37 + -35?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 55 = -0*a + a, 0 = -5*q - 5*a + 55. Solve 4*g**4 - 2*g**2 - q*g**2 - 8*g + 5*g**2 - 4*g**2 = 0 for g.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:29 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -3)*(-2844)\/(-36). What is the third smallest value in 2\/3, -0.3, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -2)*-1 + 3. Let g = 10 - 17. Let t(k) = 5*k**2 + 7*k - 9. Let m(c) = 3*c**2 + 6*c - 6 - 2*c + 1. What is g*m(x) + s*t(x)?\nAnswer: -x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.537*175.\nAnswer: -268.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1188.5457 nanoseconds to minutes.\nAnswer: 0.000000019809095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237\/2 + 2595\/22. What is the biggest value in -2\/19, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24050*c + 37158?\nAnswer: -24050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1644 and 49524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17 + (0 - -5))*(-2)\/4. Sort h, -1, 4, 5 in descending order.\nAnswer: h, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -15. Suppose g*v - 2*u - 6 = 2*v, 2*u = 6. Let w = -8.5 + 9. Which is the third biggest value? (a) v (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/11 + 80428*u**2\/11 - 808582898*u\/11.\nAnswer: -2*u*(u - 20107)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 68 = -y. Let n = y + 62. Is -2\/3 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -24\/2065 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*f - 385 = -11*f + 5*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1028 - -0.1. Round r to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p. Let b = -7 + 2. Let z(k) = k + 1. Let a(u) = 3*u + 5. Let m(f) = b*z(f) + a(f). Give t(m(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**(1\/6)*v))*v)**(-6\/17)*v\/(v\/(v*v**(-27))*v)*v\/(v*v*v**17) assuming v is positive.\nAnswer: v**(-784\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.08 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -2)**2 - ((sqrt(567) - (sqrt(567) + (sqrt(567) + 2 - sqrt(567))))**2 + 3).\nAnswer: -24*sqrt(7) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24*((-16)\/3 - -5). Does 10 divide (2\/10)\/((s\/290)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.819 and -0.049718.\nAnswer: 0.040719042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16.7+-5967\nAnswer: -5983.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let x(u) = 13*u + 1. Let c(k) = -4*m(k) - x(k). Let o(v) = v. What is o(c(y))?\nAnswer: -17*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1682 + -6727\/4. What is the smallest value in 12, x, 0.5, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -0.1. Let z = q - 2. What is the smallest value in z, 1, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.8 + -29. What is the nearest to -1 in 2, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 3) to base 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14452.\nAnswer: 2, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*x = -4, 4*r - 2*r - 4*x = -32. Which is the smallest value? (a) r (b) 3\/14 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 + 0*r**3 - 3*r**3 + (-2*r**3 + 0*r + 0*r)*(-6 - 1 + 5) - 12*r + 0*r**3 + 7*r**3 - 8*r**3.\nAnswer: 2*r**3 - 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0*i + 291. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/6*-1 - -2. Suppose 2*v = 6*v + 36. Let l be (-3 - v\/3) + -4. Which is the biggest value? (a) 2 (b) l (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17384 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/2 + 0. Let i = 1121 + -1120. Which is the nearest to -2? (a) p (b) i (c) -10\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1022530 - 1537470 + 1205*a**3 - 5*a**4 - 82189*a**2 + 2656000*a - 15011*a**2.\nAnswer: -5*(a - 80)**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4 + -3)\/((-6)\/102)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1265326 (base 7) to base 13.\nAnswer: -5b357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*b - 2, -126 = -20*b + 21*b + 26*g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3021, -6044, -9079, -12132, -15209, -18316, -21459?\n\"Answer: -w**3 - 3016*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29681 + 29672. Let o(t) = -t**2 + 3*t + 35. Give o(z).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 6)*(-t**4 + 2*t**4 - 3*t**4) - t**2 + t**4 + t**2.\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -716*w + 693*w = -9591. Is w less than 418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 122, 170, 200, 206, 182, 122?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2770 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {b: 3, n: 4, w: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 374 and 123618?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = -155*r - 1488. What is the closest to -7 in r, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 2*m**6\/3 + 56*m**5\/5 + 51*m**4 + 72*m**3 + 3394. Factor k(c).\nAnswer: 4*c**2*(c + 2)*(c + 3)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -46*i**3 - i**2 + 1. Let z(g) = -g**2 + 12*g - 16. Suppose 24 = 18*w - 15*w. Calculate the remainder when b(-1) is divided by z(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2 + -1*sqrt(171) - 1*(sqrt(171) + sqrt(171) + 0 + sqrt(171) + sqrt(171))) + sqrt(171) + (-1 + sqrt(171))*3 + 2 + sqrt(171) + 0))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-67)\/201*4)\/(14\/(-12)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -8*o**5\/7 - 2*o**4 + 618*o**3\/7 + 2804*o**2\/7 + 3992*o\/7 + 240 = 0.\nAnswer: -7, -2, -3\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/7267605?\nAnswer: 2\/7267605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 6*w + 3. Let h be u(-6). Suppose -h*t + 2*t = -1110000. Round t to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Let b be l\/(-1 + (-1)\/1). Suppose r - 2*r + 46 = b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -62. Let z = -611\/7 - -87. What is the closest to z in 3\/5, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95\/116 + -2\/29. Let b = -51\/7 + 1437\/154. Calculate the common denominator of b and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (60\/16 - 3)\/((-3)\/(-804))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + r**3 + 3*r - r**2 - 1 + 2*r**2 - r**2. What is the remainder when c(2) is divided by 1*-1*1 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*-3*6\/63. Let n be 0\/u + 0 + 0. Suppose -m + 2 = -n*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1163 - -1169. Let z(g) = -g**3 + 7*g**2 - 7*g + 4. Let f be z(4). Suppose 6 - f = -s*m. Solve -x + m = -0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.5 (b) -2\/73 (c) -0.013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (6 - 1) + -3. Suppose -f*m + 0*m = -99. Suppose 0 = -5*a + 22 + m. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2263500 rounded to the nearest 10000?\nAnswer: -2260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/10)\/(5\/(-25)). What is the units digit of 11*1*2\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - x - 9 = 0, 0*m = 3*m + 3*x - 45. Suppose -j - 3*j - m = 0. Which is the closest to -0.1? (a) -2 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 2*j - 16, 2*k = 5*j - 3*k - 25 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 2116*z**2 + 3922912*z - 978037328.\nAnswer: -4*(z - 422)**2*(z + 1373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9828)\/(-12))\/(-7)*14\/(-91)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8 + -21.98814?\nAnswer: -16.18814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 - 71. Let m = l - 27. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-40) - (-84)\/10. Suppose 1 - c = -w. Is 7 != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -42454913?\nAnswer: -42454913.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1091 in -2, -71, 5, 4, -1\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1203*a + 15416 + 18268 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99321?\nAnswer: 3, 33107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -7440, -3, 4, 7.\nAnswer: -7440, -9, -3, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-9 - -6) - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4)*4\/(-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4242209899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - -108. Let l = t + -115. Which is the closest to -2? (a) 3 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18392 divided by -121\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 - -148. Let y = h - 87.00184. Round y to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9711\/148 + -17\/148. Is m < 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 11*z**5\/30 - 7*z**4\/3 + z**3\/2 - 20*z**2 - 3*z. Is l(6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -237571\nAnswer: 52\/237571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 594 - 292. Suppose -4*r = -z + 282. Solve -5*t + 6 + 9 = 5*x, -r*t + 16 = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from uaaauuuayxyuauuuuxuu.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29457436*y**5 + 2*y**3 - 135993830*y**2 wrt y?\nAnswer: -1767446160*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*d - 140, 354 - 64 = 4*n + 5*d. Let c be n\/(-27) - (-2)\/(-9). What is the remainder when 24 is divided by 2\/c - (-82)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/75 of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-11)*-3 - (-645)\/55.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 - 0.45. Let x = 343 + -1373\/4. What is the nearest to -0.1 in v, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/16 + 13*g**3\/6 + 8*g**2 - 56*g + 3706. Factor o(t).\nAnswer: -(t - 28)*(t - 2)*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.96 and -0.112706?\nAnswer: 0.10819776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 = -9. Sort -8, w, 1 in ascending order.\nAnswer: -8, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -5.6. Let h be 0*-8*15\/240. Sort -5, -0.4, h, r in descending order.\nAnswer: r, h, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1068 (base 16) to base 6\nAnswer: 31240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4dc (base 14) to base 8\nAnswer: -1722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 2:26 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-859)\/(-7) + 4\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 243\/508 + -156\/127. Which is the nearest to 4? (a) 5 (b) y (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1497\/21 + (-8)\/28. Let y be r + -3*(-1)\/3. Suppose 3*k - 5*w = 28, 2*w + y = 4*k + 4*w. What is the least common multiple of k and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 1015494*n**2 + 128903000256*n + 128904015752.\nAnswer: 2*(n - 253874)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1577a - 4?\nAnswer: 15776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77928 less than 542?\nAnswer: -77386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r**4 + 18*r**3 + 32*r**2 + 24*r + 8. Let v(u) = -7*u**4 - 17*u**3 - 31*u**2 - 24*u - 8. Let q(t) = -5*a(t) - 6*v(t). Suppose q(p) = 0. What is p?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 749157968?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)\/d**5)\/((((d*d**(-2))\/d)\/d)\/d**(-3)))\/(d**(3\/2)\/d**0)**(-12\/5) assuming d is positive.\nAnswer: d**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/20592 and 89\/14976.\nAnswer: 164736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 82402 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 161632.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 171*p**3 + 25*p**2 + 62*p + 44. Let x(s) = 29*s**3 + 4*s**2 + 10*s + 7. Calculate 4*l(t) - 25*x(t).\nAnswer: -41*t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*n**2 + 1 + 0 - 29*n**2 as i*n + y + g*n**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -10*x - 4*x - 6, o = 5*x + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8463, 16996, 25535, 34086, 42655, 51248?\n\"Answer: r**3 - 3*r**2 + 8535*r - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 10:15 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11*d**3 + 4*d**2 + 44*d - 92. Does 44 divide r(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -24*c**2. Let f(s) = 313672*s**2 - 2*s. Calculate f(o(y)).\nAnswer: 180675072*y**4 + 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 2*y + 0*y)*(-3*y + y + 0*y + (0 + 0 + 2)*(2*y + y - y) + 20*y - 134*y - 120*y) to the form p + i*y**2 + o*y and give i.\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 495 - 342. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*v = 18, 2*v - 14 = -2*i + 34. Let f = -15 + i. Calculate the smallest common multiple of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 160030 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 + 11*a**2 - a + 8. Let k(l) = 3*l**3 - 10*l**2 + l - 7. Let s(x) = -5*k(x) - 4*u(x). Let q = 40177 - 40183. Give s(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23 (b) -26 (c) -2\/5 (d) -0.047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 133640*c - 400911.\nAnswer: -(c + 3)*(c + 133637)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2985 and 7947?\nAnswer: 7907265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:53 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 5*a**2 - 2*a. Let j be h(6). Suppose 2*l - 122 = -j. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.7238545s?\nAnswer: 0.045397575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.014 and 169.9.\nAnswer: 169.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 5, s: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55037 and 5170?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 136948859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136 - 412\/3. Let z = -6\/4165 - 4992\/4165. What is the third biggest value in 3, z, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1406)\/(-259))\/((-14)\/98).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 + 6\/(-135). Let d = 2\/9 + p. Let x = 157 + -1101\/7. Which is the nearest to x? (a) d (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26598, 53171, 79726, 106269, 132806, 159343, 185886, 212441?\n\"Answer: t**3 - 15*t**2 + 26611*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 0.82.\nAnswer: 3.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -5 - ((-25 - -12 - -26) + -64).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c - 6*c + 4*c - 1. Let v(z) = z + 11. Let o be v(-8). What is the units digit of m(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, y: 7, b: 2}. Give prob of sequence bu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeo when three letters picked without replacement from {e: 2, o: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 4*v - 14 = 2*u, 4*v - 3287 = u - 3286 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/50, 0.12, 0, -0.1 in descending order.\nAnswer: 0.12, 0, -1\/50, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3231, 0, -9 in descending order.\nAnswer: 0, -3, -9, -3231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 67\/2 (b) 2\/9 (c) -4\/7 (d) 5.82 (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (26\/182*7\/(-2))\/((-35)\/57330*-9)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v**2 - 1. Let c(o) = 3*o**3 - 6*o**2 + 9*o + 8. Let w(r) = c(r) + 2*n(r). Let s(x) be the first derivative of w(x). Is s(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*n + 22, -16 = -n + 2*g - 6. Let x = -1 + n. Let b(d) = -d**2 + 3*d + 4. What is b(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1 = -3*d, 0*d + 5*l = 3*d + 8. Let i = 19 + d. Solve 0 = 4*s + 4*j + 24, s + 0*j + 4*j = -i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f - 2. Let d(y) be the first derivative of 13*y**2\/2 + 3*y + 94. Let m = 10 + -17. Calculate m*b(v) - 5*d(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-33))\/((3\/45)\/(106\/(-265)))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -6 - 74. Let d = -1621 + 1623. What is the least common multiple of a and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2325.62, -25, -4.\nAnswer: -25, -4, 2325.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r = 5*x + 381, -2*r - 48 = 72*x - 76*x for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 3*v + 8, -5*r - 3 = 2*v + 7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 6*c + 13. Let q(u) = -u**2 - u - 1. Calculate h(k) + 6*q(k).\nAnswer: -4*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342 and 798?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 388413.6ug?\nAnswer: 388.4136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 141 - 137. Suppose 5*z = 4*k - 197, z = -c*z + 15. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 163?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 120c (base 15) in base 5?\nAnswer: 110322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2*v + 3 = -8, -8*v = 4*x + 28 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5))**(2\/41))**(-3)\/((y**0)**(-2\/13))**(1\/7) assuming y is positive.\nAnswer: y**(30\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 10284840?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*l**3 - 24*l + 46*l - 22*l.\nAnswer: 72*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3085 times -0.4?\nAnswer: 0.1234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376798.\nAnswer: 2, 293, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59782871*h**2 + 23051001 wrt h.\nAnswer: -119565742*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m - 4. Let x(f) = -196 - 197 - 2*f - 2*f - 192 + 589. What is -6*j(k) - 4*x(k)?\nAnswer: -2*k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqlqqqqqqqqq. What is prob of picking 2 l and 1 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -138*c. Let x be w(-5). What is the hundreds digit of ((-1)\/3)\/((-1)\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2737.2 + 2737. What is the nearest to 1 in 0.2, v, 0, -2\/27?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -38. Find the common denominator of 4\/(-7) + 0\/(-1) and -4 - d\/(-3) - 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - g + 1)*(3*g**2 - 5*g**2 - 5*g**2)*(-2 + 6 - 3)*(4 - 2 - 3).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - 2.9. Let g be 3 - (-20 - 1)*23\/(-276). What is the fourth biggest value in 1.6, -2\/9, g, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -684694*x**2 - 112666 with respect to x.\nAnswer: -1369388*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 5*h + 36, 2*t = -4*h + 5 + 21. Let i be (0 + t\/4)*20\/14. Let l = 0 - -0.4. Which is the second biggest value? (a) -3 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 57316.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -37. Let r = -1554 + 1553. Which is the closest to -0.07? (a) y (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 365024 and 672?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -29 - 19 + 58 + 10*b**2 - 26 + 6*b**3. Let i(s) = -2*s**3 - 3*s**2 + 5. Determine 5*a(m) + 16*i(m).\nAnswer: -2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5734, -10938, -15618, -19780, -23430, -26574?\nAnswer: -29218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t + 0*t)*(5155*t - 10308*t - 86 + 5156*t).\nAnswer: -3*t**2 + 86*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6184*w**2 - 14970*w - 12589*w**2 + 14970*w + 4371*w**2 to o*w**2 + t + z*w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 1722*k + 561*k + 562*k + 598*k.\nAnswer: -k + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k + 26061 = -1246. Does k = -582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 113642773?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 170*k - 178*k. Let l(y) = 2*y**2 + 20*y - 18. Determine l(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6214, 2.\nAnswer: -6214, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -270648 (base 9) in base 4?\nAnswer: -220023023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23744 is divided by 721?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5850 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -5203651?\nAnswer: -5203652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -766*k**2 - 402*k - 735. Determine g(-2).\nAnswer: -2995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/7, 35, 3.5, 1209, 3, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**5\/330 - 19*i**4\/22 + 111*i**3\/11 + 353*i**2 - 4. Factor r(p).\nAnswer: 2*(p - 111)*(p - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.7587*5\nAnswer: -13.7935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 628383413 or 628383412?\nAnswer: 628383413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*(-4 + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 + 31956*k\/7 + 127648242\/7.\nAnswer: 2*(k + 7989)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from qsnbn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**3\/3 + 3*h**2 - 7*h. Calculate l(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4104 - -0.07\nAnswer: -0.3404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 - 4*b + 3. Let a be k(1). Let z be (-1)\/(3\/36*-3). What is the third biggest value in z, -10, a?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -21552 (c) 2\/157 (d) 0.2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*h - 93 + 23*h**2 - 3 + 34*h**2 - 14*h**3 - 11*h**2.\nAnswer: -2*(h - 4)*(h - 1)*(7*h + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89834601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 4:28 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -155096*y**2. Let t(u) = 2*u**2. What is t(i(d))?\nAnswer: 48109538432*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -27969.8 to the nearest 100.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 = 2*c + 7, x - 4*c = 20. Suppose q = t + t + 111, x = 5*t. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14865 - 14861. Solve -d - v = j, 0 = -j - 3*j + 4*d - 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {i: 5, y: 3, s: 1, w: 3, a: 1, r: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*i + 3*m, 4*m = -4*i + 5*m + 25. Solve 0 = i*v + 4 + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - 74\/(-6))*(-3 + 12) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 19. Let k be (-1)\/2 - (-3 - 599\/2). Suppose -k + 22 = -x*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 9:19 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*17\/85*3*(-55)\/45?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 + -55. Suppose -4*b + a = -3*b. Suppose t + 12 = 3*t. What is the highest common divisor of t and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -2\/13 (c) -0.4 (d) -5079\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1566 and 218196.\nAnswer: 654588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 807548073 to the nearest integer?\nAnswer: 28417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27915192.7 and 4?\nAnswer: 27915188.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 7\/6*w**3 + 0 - 3*w + 0*w**2. Let r(u) = -3*u**2 - u**2 + u**2. Calculate r(h(i)).\nAnswer: -147*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1614 times 72\nAnswer: 116208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -297 + 293. Let j = -8.5 - 26.5. Let w = 35 + j. Which is the smallest value? (a) -3 (b) w (c) v (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*p**2 + 169*p**2 - p**3 + 2*p**3)*(-p + 1 - 1) in the form j*p**4 + q*p**2 + v*p**3 + u*p + f and give v.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7. Let d(l) = -4 + 3*l**3 + 2*l + 4*l**2 + l**v - 2*l**3. What are the prime factors of d(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640042.6 + -98.8.\nAnswer: -640141.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = -9*o + 15*o - 4*q - 198 - 526, -5 = -5*q + 15 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3 = 0, -2*l + 5*p - 2*p + 5 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 14*l + 3. What is u(-16)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**(-2)\/b*b*b))**(-7\/9)*b**(-5)*b**(4\/7) assuming b is positive.\nAnswer: b**(-377\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:28 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -98. Round u to 0 decimal places.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + z**2 + 1. Let s(d) = 9*d**3 - 8*d**2 - 6. What is -14*m(t) - 2*s(t)?\nAnswer: -4*t**3 + 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -7. Suppose 3*p - 2*g + g = 4, f*p + 3*g = -12. Suppose p = -c - 5*x, 2*c - 3*c = -2*x - 21. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 14*n + 15. What is the remainder when 149 is divided by v(15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3130 - 65 = 59*q + 174 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 390.1 - 385.1. Put 2, -14, -0.15, u in ascending order.\nAnswer: -14, -0.15, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181\/7 + -26. Let q = 64 + -65.04. Let v = q - -0.04. What is the nearest to v in b, -1\/2, -2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - z + 1. Let o(h) = -2*h**2 - 23*h + 166. Let w(a) = -o(a) - 3*r(a). Suppose w(i) = 0. What is i?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 483789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivzqrrf. Give prob of sequence frv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(70\/(-20)))\/((-18)\/(-14)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 677585?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174573?\nAnswer: 3, 7, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1580 + 1851.6. Let v = -272 + j. Sort 0.033, v, -0.1 in decreasing order.\nAnswer: 0.033, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 512 - 511. What is the closest to k in 3, 1\/4, 3\/2, -0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -174783, -1 in decreasing order.\nAnswer: 2, -1, -174783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10312145 + -1450?\nAnswer: 10310255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(176)*4 - (1 + sqrt(176) + -5 + sqrt(176)*1*4))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d - 50 = 46 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) 2 (c) 20\/87 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - (-35 + 48)) + 37?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-24) + (-14)\/(-6). Let l be j\/((-1)\/(4 + -2)). Sort l, 4, 0.\nAnswer: l, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1213561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -3\/4 (c) -0.3 (d) 106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -634 (base 10) to base 11.\nAnswer: -527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 476*p**3 - 8*p**2 - 7*p - 3464. Let q(r) = 239*r**3 - 3*r**2 - 3*r - 1732. Let x(f) = 3*g(f) - 7*q(f). Differentiate x(a) wrt a.\nAnswer: -735*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -4502\/265?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) 3\/5 (c) -0.4 (d) 1 (e) -76\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*k = -51*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-five thirds of a hour?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/7 (b) -5 (c) 20 (d) -3\/7 (e) -28.639 (f) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13638?\nAnswer: 2, 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.0389\nAnswer: 0.00778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*h - 549 - 40, 0 = 4*h + i - 800. Let k = h + -198. Put 4, -4, 0, k in descending order.\nAnswer: 4, k, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*n - 307*n - 4 = -5*o, -10 = -5*n - 5*o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/4451 + 53433\/31157. Which is bigger: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1120578761 - 77*q**3 + 291*q**3 + 1120578761 + 337*q**3.\nAnswer: 551*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (-5 + sqrt(180) + 2*sqrt(180) + 5 + sqrt(180) - (-6*-5*2*sqrt(180))**2)*-5.\nAnswer: -120*sqrt(5) + 3240007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32196 and 4516.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 8*y + 12. Let r be o(6). Let f = r + 7. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -594 + 612.5. Which is the second biggest value? (a) n (b) 5 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5490351 litres to millilitres.\nAnswer: 549.0351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2943 and 10041516.\nAnswer: 10041516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 9 + -13 + 0 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26522746, 26522744, 26522742, 26522740, 26522738?\nAnswer: 26522736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -608 at least -607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*y = 4*m - 28, 4*m - 4 = 3*y. Suppose -2*w - 12 = -m*s, -s + 15 = 4*s + 3*w. What is the remainder when ((-4)\/6)\/(4\/(-78)) is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let k(j) be the third derivative of -3*j**3\/2 - j**2 - 55*j. Give k(o) - 4*w(o).\nAnswer: -4*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**5 + 4*y**3 - 42*y**2 - 2?\nAnswer: 60*y**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-979)\/(-55))\/((-2)\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146105202 divided by 48701734.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -2. Let c = -5 + o. Suppose 3*d = 36 + c. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -1 - 2 - (75 + -100)) + -8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*r**2 + 41*r**2 - 133*r**2 - 3*r.\nAnswer: -27*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-28\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 8. Let k(q) = -2 + 1 + 9*q - 15*q - 2*q + 9*q. Give 5*k(a) - p(a).\nAnswer: 7*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -19 + 0*a**3 + 11*a + 0*a**2 + 11\/4*a**4. Differentiate w(s) with respect to s.\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 - 3.2. Let n(l) = -l + 2. Let w be n(1). Which is the closest to z? (a) -2\/13 (b) w (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-33)\/(i**3\/(i\/(i*i**(-1\/6)*i))) assuming i is positive.\nAnswer: i**(-221\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4 and 107\/1090?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62*l - l**3 - 81*l + 521 + 0*l**3 - 2058 + 22*l wrt l.\nAnswer: -3*l**2 - 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82699084*d**2 - 2170155*d - 1.\nAnswer: 165398168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**3 - 17*z**2 + 59*z + 361. Let a(u) = 12*u**3 - 33*u**2 + 120*u + 721. Let h(c) = 2*a(c) - 5*d(c). Determine w so that h(w) = 0.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from vvayxvyydxyp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g**3 + 8*g**2. Let o(m) = 3*m**3 - 3*m**2. Let z(k) = -17*o(k) - 6*x(k). Suppose z(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 511, 832, 1149, 1462, 1771, 2076, 2377?\n\"Answer: -2*x**2 + 327*x + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104504 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/3, 0, 12 in decreasing order.\nAnswer: 12, 0.4, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6240 = -3*n, -5*s = -16*n + 18*n - 15600. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 21172774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 506 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**3 - 78*a**2 - 79*a - 60. Give s(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136594340 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -12434\nAnswer: -24868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7183 - 7023. Calculate the remainder when v is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74944 - -524628\/7. Factor 0 - 4\/7*h**5 + 0*h + 12\/7*h**2 + w*h**4 - 4*h**3.\nAnswer: -4*h**2*(h - 3)*(h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 10 - 2*14\/(-8))\/(13\/6)?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8272?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27916700\/9 or 3101856?\nAnswer: 3101856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l + 20. Let f(t) = 3*t + 9. Let w(g) = -4*f(g) + 2*q(g). Let h(y) = -12*y - 9. Calculate 3*h(a) + 7*w(a).\nAnswer: 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1774420 and 532326?\nAnswer: 5323260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 1, y: 2, b: 1, w: 1, s: 1}. What is prob of picking 1 j, 1 s, and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k + 12. Let j(r) = 1. Let n(s) = 2*c(s) - 24*j(s). Let b(u) = -3*u. Calculate n(b(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 486333?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 146.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-5))\/(10\/(-4)). Let z = -7\/12 + 5\/6. Let f = z - -1\/4. Which is the second smallest value? (a) q (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddfddffddfdddd. Give prob of sequence fdf.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -37.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 9 - 3)*(2 - 1 + 1)*(-2 + 2 - 2*y).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -842*465\/1404. Let s = -3548\/13 - f. What is the common denominator of ((-144)\/5184)\/((-8)\/(-3480)) and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10242\/11 greater than 932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-15)\/20*8\/(-75).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -15 + (136 - 130) - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 4032.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.13679 rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670 = -3*s + d + 616, -5*s = -5*d - 2160. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 125, 188, 271, 380, 521, 700, 923?\nAnswer: 1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001 (base 2) to base 10.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**2 + a + 2. What is s(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2288, 2311, 2316, 2297, 2248, 2163, 2036, 1861?\n\"Answer: -n**3 - 3*n**2 + 39*n + 2253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 7*r**2 + 7*r - 5. Let x(h) = h**3 - 6*h**2 + 11*h - 24. Let u be x(5). Let n be o(u). Does 7 divide (551\/58)\/(n - (-5)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2 = 2*z, -5*z + 21 - 11 = 5*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2786716 < 47374186\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 34. Let i be k(-6). Suppose -2*z = 5*b + 113, 4*b + 2*z = i - 112. Let l = 57 + b. Calculate the highest common divisor of 136 and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -36*i. Let l(h) be the second derivative of h + 2\/3*h**3 + 64 + 0*h**2. What is l(c(s))?\nAnswer: -144*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)\/u*u**(-5\/4)\/u*u**(1\/11)\/((u\/(u*u\/u**(2\/21)*u)*u)\/u))**43)**(-10) assuming u is positive.\nAnswer: u**(845165\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -30. Let i = 11 - t. Let j(f) = -f - 5. What is j(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1387 + 3*c**2 - 1387 + 3*c**3 + 150*c in the form i*c**2 + l + k*c**3 + d*c and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/11, -563 in decreasing order.\nAnswer: 2\/11, -2, -563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.887 and 0.4?\nAnswer: 9.1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 11712*c**2 - 22*c - 11. Let s(w) = -5835*w**2 + 12*w + 6. Give -6*j(r) - 11*s(r).\nAnswer: -6087*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.19 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*n**2 - 339*n**2 + 322*n**3 + 4*n**3 - 44*n**3 wrt n.\nAnswer: 1692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/5 and -27\/494?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y - 5422. Let j(w) = 2*w**2. What is j(n(d))?\nAnswer: 18*d**2 - 65064*d + 58796168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4336 = d + 13298, 3*s + d - 17646 = 0. What is the lowest common multiple of 15 and s?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516 is divided by 87?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - 3*s - 2. Let l be u(-1). Suppose 9*i = l*i. Suppose i = -y - 0 + 6. Solve -5*b + 2*x - y*x = 33, -4*x = -b + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1927188?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.8, -762, 0 in decreasing order.\nAnswer: 0, -0.4, -0.8, -762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1259 times -136886\nAnswer: -172339474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 - 39. Let o(s) = 9*s**2 - 79. What is -2*o(w) + 5*y(w)?\nAnswer: 2*w**2 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 3*c**2 - 3*c + 3. Let m be (1\/2*-4)\/(-1). Let j be s(m). What is the remainder when 95 is divided by (-2)\/j + 37 - 3?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 6*z. Suppose 5*k + z*k - 21 = 2*b, b + 3 = k. Suppose h - b = 5. Solve g + 11 = -4*a, a + h = g - a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r + 28*r - 12*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 37, 87, 157?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*h + 525 - 1253 = 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*r + 122*r + 816 = 303*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2. Suppose -58*z = -61*z + 6. Let x(w) = -w + 358*w**z - 452*w**2 + w. Give t(x(u)).\nAnswer: -26508*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let a(b) = -21*b - 2. Let n(m) = -6 + 651*m + 65 - 7 + 11. Let x(u) = 63*a(u) + 2*n(u). Calculate x(o(h)).\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.803 * 6466.\nAnswer: -5192.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000930578088 rounded to 7 decimal places?\nAnswer: 0.0000931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1137601, 2275185, 3412757, 4550317?\nAnswer: 5687865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.17 + 1.2. Let z = a - 0.03000006. What is z rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-10.1\nAnswer: -7.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95459\/(-7644) + 14 + -2 and 94\/15.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-190)\/(-133) + (-183)\/35)*-5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 7:30 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374869362?\nAnswer: 2, 61, 641, 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 28*f + 20. Give d(11).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.0126 (b) 0.3 (c) 2.2 (d) 1 (e) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3077712 divided by -21373?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(252) - (sqrt(252)*3 + 3)) + sqrt(252) - (-1 + sqrt(252)*3))*6)**2.\nAnswer: 4608*sqrt(7) + 145408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-99 + -33 + (34 - -8))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*o + 21*o + 5*o**2)*(19 - 19 - 2*o**2).\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 267\/2 > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 211 - 80. Let z = 317 - m. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/1213 in 21, -0.5, -568?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 9:29 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5742649*j**4 + 18607943 wrt j?\nAnswer: 22970596*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**2*s**2 - 312*d*s**3 - 1071*d - 210*s**3 + 286*s**2 - 149 wrt d?\nAnswer: -2*d*s**2 - 312*s**3 - 1071","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 247359.\nAnswer: 14841540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -9. Suppose -3*x + 61 = g. What is the greatest common divisor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 25 + 24310*j + 24328*j - 48641*j. Calculate a(15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-13)\/r**(-12)*r**5\/r**(-1) assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(320)*-2 + -3 + sqrt(320).\nAnswer: -8*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 106*z**2 - 2278*z - 35. What is q(-18)?\nAnswer: 793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 take away 29949631699?\nAnswer: -29949631699.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 - 5*p + 4*p + 3*p)*(516 + 58*p**2 - 6*p**2 - 53*p**2).\nAnswer: -4*p**5 + 2062*p**3 + 1032*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.251018655 rounded to 4 dps?\nAnswer: -0.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 + 3*h**2 - 5*h + 3. Let x be q(1). Let m(g) = -3*g**2 + 2. Calculate m(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x + 3. Suppose x*t = -t. Solve 0*c = -c - 3*f + 5, -2*f + 4 = t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/(-26)*(31\/(-5) + 57 + -58).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**5\/20 + r**4\/4 + r**3\/6 - r**2\/2 - 8*r. Give v(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2267*n*o**3*w + 192*n*o*w - 43*o**3 + 363*o*w - 2*o - 5*w wrt o?\nAnswer: 13602*n*o*w - 258*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48195 = -95*w + 44*w. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -18*x. Let u(m) = -87*m**2 - 8. Let h(a) = -436*a**2 - 38. Let q(g) = -4*h(g) + 19*u(g). What is q(n(t))?\nAnswer: 29484*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82414 is divided by 15879?\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/9 and -695 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 22*t**2 - 19*t. Give p(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-10)*(-71)\/(-2130)*-75.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.61208.\nAnswer: -0.61208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times -30\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) -3.5 (c) -329612 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 1 - -2 - 2. Let r be p\/(2 + (-6)\/2). Suppose -3*u - 1 = 3*l - 4, r = 3*l - 3*u + 3. Solve 3*o - 10 = 2*y - l*y, 5*o = y + 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(30\/(-4) - -3). Suppose -11*h + z*h + 314 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (472460\/(-130))\/((-4)\/26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6474*w + 11560129 - 11560129 to c + n*w and give n.\nAnswer: -6474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -8.9. Let k = -0.0999995 - o. What is k rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 602527042 to the nearest integer?\nAnswer: 24546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/3 + 430*z**2\/3 - 18579*z + 757944 = 0. Calculate z.\nAnswer: 99, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d. Let l(i) = -123*i**2 - 16. What is m(l(c))?\nAnswer: 246*c**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 9. Suppose 0 = w - 12 + 2. Let r = w + p. Let y(x) = -x**2 + 6*x - 6. What is y(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4957 + 4966. Let w = -120 - -207. What is the remainder when w is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1876 and 43\/4912?\nAnswer: 2303728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/325 in 0.05, -0.03, -4, 28, 3, 0.2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:39 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 + 3 = 0. Suppose 23*r**a + 24*r**2 - 38*r**2 - 9*r - 3*r**3 + 3 = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610094491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 362405149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 29*h**2 - 248*h - 43. Let c be n(-4). Which is bigger: 5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -22. Solve 0 = -r*a + 2*j - 8, 5*j - 5 = a + 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z - 2. Let y(a) = 3*a**3 - a + 1. Suppose 3*r - 3 = -0. Let h be y(r). Suppose 2*d = 3*d + h. Determine g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370532456 a multiple of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1531463.\nAnswer: 59, 101, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghgzzohhhhhhhhgzo. What is prob of sequence gz?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127165 to the power of 1\/2, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4765?\nAnswer: 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004084109 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - b42?\nAnswer: -b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -187 + 186.8. Let q = 10 + -8. Let r = -1.5 + q. Which is the biggest value? (a) r (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148 + (-19 - -10) - (0 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001260126 rounded to 6 decimal places?\nAnswer: 0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 54. Let i(u) = -92*u + 204. Let d(l) = -4*l + 9. Let n(t) = 136*d(t) - 6*i(t). What is r(n(s))?\nAnswer: 8*s + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*k**2 + 26*k**3 + 220*k**2 + 341 + 345 - 686.\nAnswer: 26*k**3 + 322*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1010*w + 5125 = 15944 - 79499 for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/55)\/(-1)*2\/1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 13 = 4*f. Let v(j) = -6*j**3 - 5*j + 5. Let z(p) = -5*p**3 - 4*p + 4. Give f*v(h) - 5*z(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.11 (b) -1 (c) -3 (d) -73.8 (e) 1\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/12)\/(29\/58).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 13*z**2 + 9*z - 13. What is the remainder when l(-12) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3253543?\nAnswer: 31, 104953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -64 + -1 + 0 + 0. Let c be 56\/((-5)\/(q\/2)). Suppose -j = 3*j - c. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = f + 7, -7*f + 3 = -3*j - 4*f. Let l(i) = -120752*i**3 + 3*i**2 + 4. Let g be l(j). Round g to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -657 (base 14) to base 3.\nAnswer: -1201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + b - 9. Let k be m(3). Suppose -k*f - 3*f = 576. Let r = -11 - f. List the prime factors of r.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*-1 - (5\/3)\/((-4)\/15)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4153 + 4148. Which is the nearest to 1? (a) -0.25 (b) -1 (c) s (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(77) + sqrt(77))\/(sqrt(7) + sqrt(28)*-1).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 20*y - 90. What is the remainder when 43 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 10 + 38 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(78)\/sqrt(6) - 3*(sqrt(13) + (sqrt(117))**2).\nAnswer: -356 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(75) + -2)**2 + 1*(2 + sqrt(75)).\nAnswer: 15*sqrt(3) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7 + 1)*(-469)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 29*v + 31 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 3*p - 3*p**2 + 4*p**2 + 8*p**2 in the form c*p**2 + n + b*p and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x - 4 = 0. Let y(g) = 252*g**2 + 3277*g + 13. Let a be y(-13). Solve a = -8*p + x + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11222 and 558.\nAnswer: 100998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - 0.2. Let j = z + 1.3. What is the closest to j in -0.4, 2\/3, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 2)*(-q + 3*q - 10*q + 21).\nAnswer: 40*q - 105","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwnwwwwwnnnwn. What is prob of picking 3 w?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3290635 divided by -14?\nAnswer: -3290635\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1220)\/244 + (-11 - 1)*332\/6. Is -672 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1964?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 + 6 = 0. What is the common denominator of 1397\/(-165)*5\/(-4) and (-109)\/(-12) + (l - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 572 - 578 = 2*q, 0 = -q + c + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -306, -487, -796, -1263, -1918?\nAnswer: -2791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3668 + -3673. Put 18, -9, j in decreasing order.\nAnswer: 18, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815 is divided by 604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 406 by -103.\nAnswer: -406\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -3 (c) -2 (d) 3\/2 (e) -8101 (f) 5 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/21, -3, 55232, -1\/6 in decreasing order.\nAnswer: 55232, 1\/21, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6145679ml?\nAnswer: 0.0006145679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 11036 and 11038 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 x when three letters picked without replacement from {j: 2, x: 1, u: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*p + 21*p - 40. Suppose p = 5*i - 0. Suppose -39 = -i*r + 881. Is 36 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -112, -246, -432, -670, -960?\nAnswer: -1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 1\/120*s**6 + 1\/12*s**4 + 10 - 8\/3*s**3 + 0*s + s**2 - 1\/6*s**5. What is r(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**3 + 2 - 143*y + 7*y**2 + 4*y**4 - 9*y**2 + 79*y as k*y**3 + a*y**2 + c + d*y**4 + i*y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -27*z**2 - 4. Let r(y) = -147035054 + 147035054 + 4*y**2. What is t(r(u))?\nAnswer: -432*u**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 46 - 76. Let m(f) be the first derivative of -f**4\/2 - 10*f**3 + f**2\/2 + 15*f + 2. Let z be m(s). Solve -8 = -4*o - z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197554.0123221 + 197554. What is p rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 37*z - 32*z - 413, 2*z = a - 123. Calculate the remainder when 231 is divided by a.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -840*c + 11. Let u(a) = -417*a + 6. Calculate -6*m(t) + 11*u(t).\nAnswer: 453*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7815 + -2?\nAnswer: 7813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**3 + 9*b**2 + 11*b + 12. Determine n(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34847, -34843, -34837, -34829, -34819?\nAnswer: -34807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.9393247 to 3 dps.\nAnswer: 128.939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/(2*sqrt(80)) - (-3*(sqrt(364) - 2*sqrt(364)))\/sqrt(7))**2.\nAnswer: 6877\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13ab22a (base 13) to base 15\nAnswer: -837179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 367\/367*5\/((-20)\/112).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 696918 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 710964 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 + 4*q + 9 + 4*q**2 - 10 in the form n + x*q**2 + z*q and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 27*d**5\/20 + 4*d**3 - 41*d. What is the second derivative of p(n) wrt n?\nAnswer: 162*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.054 + -0.096. Let j = 0.542 + g. What is the closest to 1 in j, 2, -1\/19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 35 - 31. Suppose -o - 3*o = -8. Suppose l*v = -o*v + 72. What is the greatest common divisor of 126 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 2*n + 3*n)*(-1 - 4 - 3)*(3 + 2 - 4) + (8*n - 4 + 4)*(1 + 1 + 0).\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/((-4)\/18). Suppose -4*u - 142 = -2*k, -5*k + 147 + 216 = -2*u. Suppose -j - v + 149 = l*j, -k = -2*j + v. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -19493.\nAnswer: -16\/19493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 59 - 61, -4*p = -4*b + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -17*u**2 - 1 + 4*u**2 + 8*u**2. Let c(l) = -6*l**2 - 2. Calculate -5*b(i) + 4*c(i).\nAnswer: i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97*g**2*r + 117*g**2 - r - 5285 wrt g.\nAnswer: -194*g*r + 234*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*u + 84 + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5569453 or 5569456?\nAnswer: 5569453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2 + 260388*f - 520764 = 0. Calculate f.\nAnswer: 2, 86794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -57*v**2 + 7*v + 4. Let z(p) = 113*p**2 - 15*p - 9. Give -9*h(k) - 4*z(k).\nAnswer: 61*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(198\/(-12)) - (-114)\/22. Let a = 33 + h. What is the remainder when a is divided by (-41)\/(-2) + (-4 - (-7)\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23638 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 3*g - 3 - 3*g - 8123*g**2.\nAnswer: -8123*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870490334 a multiple of 1227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4969176 meters to kilometers.\nAnswer: 0.0004969176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = l + 5*x, -3*l - 16*x = -19*x - 153. Suppose -4*g = -4*t - 3*g + 55, 3*t - 65 = -4*g. What is the highest common divisor of t and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778 divided by 127?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4825*w - 826182 + 826182 - w - 1 + 1 + (-2 + 2 + 2)*(-3 - w + 3).\nAnswer: 4822*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 12*a - 8 = -8*a, -4*u - 9 = 5*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 5 (c) -40\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 + 123 - 123.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.4215 + 0.1785. What is the nearest to 0.1 in 2, r, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 0*s + 3865. Suppose -11*g - s = -3017. What are the prime factors of g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1424169903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/4*279*27\/(-1395).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64207.\nAnswer: 11, 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 0*b + 3*b = -13, 3*j + 4*b + 8 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 76469 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -45. Let s(l) = l**3 + 25*l**2 - 196*l - 134. Let c be s(-31). Calculate the greatest common factor of m and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 71, 290, 655, 1166?\n\"Answer: 73*m**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 7*z**2 + 7*z + 3. Let o be n(-6). Let u be (o - -3) + (9\/3)\/(-3). Let y(t) = 2*t**3 - t**2 - t. Let l(v) = v**2 + v. What is u*y(k) - 2*l(k)?\nAnswer: -2*k**3 - k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 48.86396 times 1\nAnswer: 48.86396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*i = -i, -i = 5*u - 26. What is the least common multiple of (30\/(-4))\/(9\/(-12)) and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7535947 + 7535947 + 14482*v as n*v + w and give n.\nAnswer: 14482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrr when three letters picked without replacement from {r: 7, v: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 + 19. Let s be (-6)\/4 + n\/(-8). Solve 0 = -5*d + q, -q = -d + s*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**5\/12 - 171*m**4\/2 + 1937*m**3 - 87983*m**2\/6 + 147441*m\/4 = 0.\nAnswer: 0, 7, 9, 1003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32, -28, -24, -20, -16?\n\"Answer: 4*r - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a02 - 5?\nAnswer: -a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175230 is divided by 617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -240 - 50*u + 240 + (1 - 3 + 4)*(4*u + 2*u - 4*u) + 4*u - 3*u + u + 2*u - 4*u + 3*u + 3 - 2*u - 3 - 3*u + u + 3*u.\nAnswer: -44*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -38.6. What is the second smallest value in -3, z, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -289\/6. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2 - 3*r + 0 - 2*r + 4*r. Let y be l(-3). What is the nearest to 2 in 0, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164840868 divided by -41210217?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2255 - -2259. Let d(u) be the third derivative of -1\/3*u**3 + 0 - 5*u**2 - 19\/24*u**j + 0*u. Differentiate d(q) wrt q.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 4*j**2 + 4*j. Let b(d) = -d**3 - d**2 + d. What is -12*b(m) + 3*x(m)?\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9214*q + 32. Let w(l) = 839*l - 3. Let o(j) = 3*p(j) + 32*w(j). Let c(z) = -z**2. Determine c(o(x)).\nAnswer: -630436*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 91\/28 + -6 - (-6)\/8. Let v be (-3 - (-60)\/6)*l\/(-7). Let x(f) = f - 3. Let g(b) = -b + 3. Calculate v*g(s) + 3*x(s).\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 2646.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**1)**(-3\/23))**(3\/35))**(-22))**(9\/7) assuming c is positive.\nAnswer: c**(1782\/5635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 2. Let q = 6 - 6.3. Let k = 17 + -17.2. Sort t, q, k in descending order.\nAnswer: k, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and 2062.21?\nAnswer: -3505.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 + 111*t**2 - 264*t + 39. Calculate d(53).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-392200)\/(-575) - (213\/69 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27632981.\nAnswer: 53, 521377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/((-13)\/26). Let o = 1 + t. Let f(g) = 75*g**3 - 2*g**2 + g - 1. Is f(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 40*f**2 - 6479*f - 72. Give b(162).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*15\/35*4312\/693?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 827263536 - 837?\nAnswer: 827262699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 39231.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0.5 (b) 0.3 (c) 1510 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((3 - (2 + -2)) + -4)*-3. Suppose -4*o + z*h + 3 = 0, -6 = 3*h - 3. Sort o, 5, -3 in increasing order.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s - 12. Let x(d) = -d + 13 + 8*d + 6*d - 3*d - 3*d. Calculate -6*j(r) - 5*x(r).\nAnswer: r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-20*j + 27*j + 42*j)*(-2*j + 3*j**2 + 0*j**2 + j**2).\nAnswer: -392*j**3 + 196*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -165251, -659980, -1484529, -2638898, -4123087, -5937096, -8080925?\n\"Answer: -164910*y**2 + y - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - g + g + (-143 + 304 + 182)*(-g - g + 0*g) to u + w*g and give w.\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 9:17 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39164*n**2 + 57*n**4 + 280*n**4 + 302 + 39164*n**2 wrt n.\nAnswer: 1348*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4207339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/24)\/(885\/(-1593)) - (-3 + (-139)\/(-22))?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25, 75, 187, 391, 717, 1195, 1855, 2727?\n\"Answer: 5*w**3 + w**2 + 12*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 112*i**2 + 2. Let d(a) = -5*a**2. Calculate d(x(z)).\nAnswer: -62720*z**4 - 2240*z**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(2)*-4 - 2*2*sqrt(15))*-3)\/((sqrt(35) + sqrt(315)*6)\/(5*sqrt(112))) + -2.\nAnswer: -2 + 480*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*c - 8*c**3 + 10*c**3 + 314*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -87, -90, -129, -216, -363, -582?\nAnswer: -885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-2 + 1 + -3) - (21 + 4 + 3)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 417 - -648. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*i + 25 = -2*h + 88*i, 4*h - 7*i = -41 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (5 - (-1 + (-7 - (-1 + -8)))) + -10?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 268 - 266. Let n be (-1 - 0)\/(4 + -5). Let d be i\/n + -4*(-3)\/(-6). Solve d = c + 1, 3*r + c = 5*c + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 248 divided by 1\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -11.3. Let f = w - -3.7. Let u be -3 - (2 - 62\/12). Which is the closest to 0? (a) f (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-587)\/3 + (-2)\/(-3). Let j = g + 350. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 55556, 221581, 498286, 885671, 1383736, 1992481, 2711906?\n\"Answer: 55340*u**2 + 5*u + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/224 and -85\/22.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 7*k = -60213. Suppose -13*w + k = 15272. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/(-9) + (-6)\/27. Let y be (-6 - (-6 - z))\/(-1). Let r(a) = -y - 2 + 5*a + 5. Give r(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(308)*1*-6)\/(sqrt(56)\/(sqrt(72) + sqrt(8))))\/(-5*(-2*sqrt(256) - sqrt(256))*5))**2.\nAnswer: 11\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a factor of 161164053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*t - 2*u - 2*u, 26 = 3*t + u. Suppose w - 2*a + t = 0, 8 = 3*w - 3*a + 4*a. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -76 (b) -5 (c) 4.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36635.\nAnswer: 5, 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 5*x**3\/3 + 13. Let d(t) = t. Determine d(a(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5))**(-22)\/(o*o**(1\/2))**28 assuming o is positive.\nAnswer: o**(-254\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*d - 351, -55*d + 71 = f - 54*d. Calculate the remainder when f is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s**2 - 91864*s + 234875?\nAnswer: 4*s - 91864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -859 at least as big as -890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -207930*5\nAnswer: -1039650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 0) + 4 + -1. Let a be 62 + 2*x\/6. Let o be 4\/4*a*1. What is the greatest common divisor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 = 4*h + 3*w, 0 = -w + 4*w - 6. Let u = 181 - h. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -3632, -5, 4, -11, 1 in descending order.\nAnswer: 4, 1, -1, -2, -5, -11, -3632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-310)*(-14845)\/32659\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 + 62*s**2 + 3*s - 89. Let p be m(31). Solve 0*n = n - p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19 + 4655\/(-247) + (-178)\/(-26). Let n be 1\/6 + (-26)\/12. Let l = -1 - n. Calculate the greatest common factor of l and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**6\/7 + 2*j**5\/35 - j**4\/14 + 170*j. Let p(i) = 0. What is i?\nAnswer: -3\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61 - 1456 - 855 + 0*t**2 - 3*t + t**3 + 0*t**2 to d*t**3 + k*t**2 + o + y*t and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4502*m + 4495*m - 28 = 0. Let l(a) = a**3 + 3*a**2 + 4*a + 5. What is l(m)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38244 and 152976?\nAnswer: 152976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8564439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 1281?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11) + -1 + (sqrt(132)*5 + sqrt(132))\/sqrt(12))**2.\nAnswer: -28*sqrt(11) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16749*k**2 - 125 + 16749*k**2 - 13*k**3.\nAnswer: -13*k**3 - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, f: 9, u: 2}. What is prob of sequence fu?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22546, 90046, 202494, 359890?\nAnswer: 562234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -769394*h + 769355*h - 2223 = 0 for h.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1792 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trrrrrtt. What is prob of picking 3 t?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 24*v + 3. Let h be d(4). What is the tens digit of h\/55*(14 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -30 + 59 + -19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-100)\/(-6)*90\/25. Suppose 0 = -2*b + t + 33, -4*b + 5*t = -q + 3. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*l + 29585 - 16365 = -45460. Is l less than -817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -727.1804?\nAnswer: -3635.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11531535*23.\nAnswer: 265225305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t + 12. Let j = t + -2. What is the common denominator of j*((-63)\/(-20) + -3) and 39\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11324364?\nAnswer: 2, 3, 41, 23017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3380815?\nAnswer: 5, 563, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 2:47 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 7592570*x.\nAnswer: 5*x*(x + 1518514)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**4\/5 - 801*m**3\/5 + 164478*m**2\/5 - 6748704*m\/5 + 12845952\/5 = 0.\nAnswer: -413, 2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-13)\/(o\/((o*o**(2\/5)\/o*o)\/o)*o**7)*((o*o\/(o\/(o**4\/o)))\/o*o**(3\/5)*o*o)\/(o**6*o**(1\/16)) assuming o is positive.\nAnswer: o**(-337\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4886*b**3*f**3 - 225*b**3*f - 4*b**2*f**2 + 5*b**2*f + 3220*b*f**5 + 9*b*f**2 - 2*f - 9 wrt f.\nAnswer: -29316*b**3 + 193200*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i - 9*i = 19*i + 132 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*y - 5754763 + 1716283. Round y to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4 - 2*a**2 + a - 4*a - a. Let f = 11 + -5. Let w(n) = f*n - 8*n - 9*n - 5*n**2 + 11. Determine -11*b(p) + 4*w(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 119181*r + 714816. What is l(-6)?\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.3 - 19.26. Let v = c - -5. What is the second smallest value in -1, -4, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120110111100 (base 3) to base 6\nAnswer: -10305013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 706.5029 seconds in milliseconds?\nAnswer: 706502.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-2) + 1750\/200.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427.4663 rounded to the nearest 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 + 119 - 2*x - 59 + 4*x**2 + 2*x**4 as w*x**4 + i*x**3 + v*x + z*x**2 + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k + 28. What are the prime factors of u(8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 13, 0.074, 14, -2, -1, 0.4, 3\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 + 119\/(-28). Let z = 19\/5 + x. Let p be 2\/4*(0 + 0). Is z less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 18. Let f = v - -17. Solve -5 + 1 = -f*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35762.453 rounded to the nearest one hundred?\nAnswer: -35800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 507 and 5070?\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -55326546 divided by -6?\nAnswer: 9221091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y, 46*d - 42*d + 4*y - 8 = 0. Which is the nearest to 2? (a) -0.2 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a**2\/7 - 244*a\/7 - 160\/7 = 0 for a.\nAnswer: -40, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooprrzoror. Give prob of picking 1 z and 2 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1 - 3*t + 4*t + 10. Calculate the remainder when p(0) is divided by 13\/2 + 3\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 4*k + 26*k - 3*k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174 and 290082.\nAnswer: 8412378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h*h*(h**20\/h)\/h*h)*h**(-3) assuming h is positive.\nAnswer: h**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 a factor of 385734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -3117, 5 in descending order.\nAnswer: 5, 1, -2, -3117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1211*a**2 + 550*a**2 + 598*a**2 - 20*a.\nAnswer: -63*a**2 - 20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4020\/7035)\/(3 - (-1165)\/(-385)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483613 to the power of 1\/2, to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-6)*((q*q**(1\/3))\/q)\/q)\/(q**0)**(5\/8))**(1\/30) assuming q is positive.\nAnswer: q**(19\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -7. What is the second derivative of -41*q**4 + 0*q + 20*q + x*q**4 + 3*q**4 wrt q?\nAnswer: -324*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 6:32 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142005, 284230, 426455, 568680, 710905, 853130?\nAnswer: 995355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from ooiio?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m, -2*m = -6*l + 7*l + 3438. Round l to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 times 0.25?\nAnswer: 17.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6761835 to four decimal places.\nAnswer: 0.6762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 9*i = 55*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (27 - -2) - (-73 - -62).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -636, -640, -644, -648, -652, -656?\n\"Answer: -4*g - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2144.3 + 2508. Round t to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -0.03, -10\/9, -2, 52\/9, 10, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 10*h - 11. Let p be j(9). Let d be (8\/6)\/p*-6. Solve r = -3*r, 0 = -4*c - d*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0798 times -0.7?\nAnswer: 0.05586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2.9. Let i = 180 + -175. Put j, i, 0.5 in decreasing order.\nAnswer: i, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 3*k. Let y be b(12). Let v be (-2)\/(-7) - y\/63. Suppose -4*z + 2 + v = 0. Sort 1\/5, -2, z in decreasing order.\nAnswer: z, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 20375490*f - 101877325.\nAnswer: -5*(f - 4075093)*(f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 1 - 20 = 2*j + 8, 18 = 10*r + 2*j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23903327033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 6. What is the tens digit of 93\/b - 2\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95722 is divided by 31907.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1617659 and 5612.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: bda4f (base 16) to base 9\nAnswer: 1413482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 444?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-847)\/3872*(-16)\/28).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -17 + 13 - 8\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83 (base 13) to base 4.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-4 - -6 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12424, -12409, -12394, -12379, -12364?\nAnswer: -12349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/(-66)*((-3)\/(-26))\/(3*(-7)\/7)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Suppose 4*o + 2*k - 12 = 0, -2 - 16 = -3*k. Let q(t) be the first derivative of o*t**2 + 17 + 0*t + 11\/3*t**3. Calculate q(x(j)).\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8317 divided by 2\nAnswer: 8317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 99, 411, 933, 1665, 2607, 3759, 5121?\n\"Answer: 105*a**2 - 3*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509*t**2 + 102*t**2 - 988*t**2.\nAnswer: -1395*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 18. Let p be 34\/w - 4\/6. Suppose p*q + 181 = 556. What is the remainder when q is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1109 = 13*j - 1135. Solve -x = 3*o - 1, j*o - 6*x - 18 = -11*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**2*k**3 + 6*d**2*k**2 - d**2*k + 287*k**3 wrt d?\nAnswer: 2*d*k**3 + 12*d*k**2 - 2*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.2, 3, -0.4, -0.06, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 61418, 246459, 554852, 986591, 1541670, 2220083, 3021824?\n\"Answer: -g**3 + 61682*g**2 + 2*g - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586135?\nAnswer: 5, 317227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3 + 2178*u**2 - 4364*u = 0?\nAnswer: -1091, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 4*m**2 + 3. Let i be k(4). Let s be (24\/(-18))\/((-1)\/i). Solve -3*p + s*r - 19 = 4, -p = -r + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10840, 10849, 10858?\nAnswer: 10867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1653 divide 1194289194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 17) + 0 + 15 + (2 - 16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3959345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**7\/84 + n**6\/30 - n**4\/12 - n**3\/12 - n + 4. Let a(x) be the first derivative of g(x). Factor a(d).\nAnswer: d*(d - 1)*(d + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -229 or -12138?\nAnswer: -12138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 762, 1165, 1872, 2913, 4318, 6117?\n\"Answer: 5*c**3 + 122*c**2 + 2*c + 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 2\/59, -1, -7\/2, -977?\nAnswer: -977","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4612 and 25366?\nAnswer: 50732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1606 + 9458. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7790, 8324, 9206, 10436?\nAnswer: 12014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 23.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5402.041 litres to millilitres.\nAnswer: 5402041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1231 - -1021?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -214900, -214899, -214898?\n\"Answer: z - 214901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*n + 1196, 10*n - 14*n = 3*m - 928. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 114.6 and -247.\nAnswer: -28306.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12773, 12777, 12783, 12791?\nAnswer: 12801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36633502.\nAnswer: 2, 18316751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27266.\nAnswer: 2, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) + 1)*3.\nAnswer: 3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r - r**2 + 3*r - 69*r**3 + 7*r - 30*r + 10*r as j*r**2 + o*r + i + q*r**3 and give q.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t - 2. Let z(v) = v + 7. Let g be z(-5). Suppose i = -2*x + 11, g*x - i - 19 = -2*x. Calculate the remainder when x is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -15. Let g = 1.09 + 0.11. Let j = u + g. What is the second smallest value in -0.3, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 r, and 1 u when three letters picked without replacement from jjuzjlzrj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -996 + 997. Let h(f) = -f**3 - 4*f**2 - 4*f - 5. Let y be h(-4). What is the greatest common divisor of k and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93699144.\nAnswer: 2, 3, 7, 11, 16901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -11. Let m = 3 - -1. Let u(k) = k**3 - k**2 - k + 3. Let o be u(0). Solve -4*y = -o*s - 31, -m*s = -y + f*y + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 21 = -3*d + 18, -2*d = -3*r + 64. Let w = r + -18. Suppose c = -3*k + 14 + 19, w = -5*c - k + 179. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 - 12*f**2 + 0*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 308 + -308. Let a(o) = -o**3 - o**2 + 2*o + 160. Let n be a(l). What is the greatest common factor of 32 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3008? (a) -2\/5 (b) 32 (c) 0 (d) 1\/4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 445602 + 222804 + 222798.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0493139 to three decimal places.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171153 and 135232?\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 5:30 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12))**(2\/49)*(q**37)**(18\/11) assuming q is positive.\nAnswer: q**(32370\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 418*b**3 - 1275633373*b**2\/2 + 306701275*b\/2 + 1525877 = 0?\nAnswer: -2\/209, 1\/4, 1525877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150385 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1676990 and 70?\nAnswer: 1676990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*r + 7 - 51 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*48\/168*(-10)\/(-5)*(-305)\/(-20).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkbttkkbktktbtktb. What is prob of picking 1 t, 2 k, and 1 b?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h - 4 - 2 + 5. What is the remainder when 7\/((-2)\/(-24)*3) is divided by s(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3042918 and 426?\nAnswer: 3042918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 442?\nAnswer: -1\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 4*g - 480. Suppose 2*h + g = 6*h. Suppose 4*q = 72 - h. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -557146*r - 127. Let y be g(10). Suppose 7324769 = -3*t + 4*z, -4*t - 9766338 = -0*t + 5*z. Let s = y - t. What is s rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(20\/(-35)) - -6. Let u = -2.04 - -0.04. What is the closest to 1 in p, u, 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + t - 4 = 0, 17436466*v + 4*t - 55 = 17436461*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 5*q + 5*q)*(-3*q + 3*q + q).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 11. Let i = 77 - u. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27704380.\nAnswer: 2, 5, 11, 125929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787054920.\nAnswer: 2, 3, 5, 6558791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1956 and 14574.\nAnswer: 4751124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3684 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 j, and 1 e when four letters picked without replacement from {j: 8, e: 4, f: 8}.\nAnswer: 896\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1399030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/17, 1, -3, -34250, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3650725 divided by -5.\nAnswer: 730145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1978 and -3277.\nAnswer: 6481906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + 9e?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*p = 173, -10*p + 9*p + 6 = 0. What is the remainder when f is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 440703 = -100703. What is j rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**11*m*(m*m**(-2\/9))\/m)**(-31) assuming m is positive.\nAnswer: m**(-3565\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/44 + 10720\/88. Let c = b - 59. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5865 (base 11) to base 9\nAnswer: -11488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 4*t - 6 = -p, -16 = -4*p - 2*t. What is the derivative of 9*k**2 + 4*k**2 + 52*k**p - 11 wrt k?\nAnswer: 130*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/(-9) + 5\/15. Sort d, 0, 1.\nAnswer: d, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j - 15*j + 11712. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388369113 is divided by 1546?\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18511.92963 - 18506.9. Let g = 60.969845 + p. Let s = g - 66. Round s to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4230 less than or equal to -4232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1239 and (-8)\/(-18) - 314086\/721098.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/312 - 238\/24.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from oohehehnhhhhh?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 44826*p - 448447. Calculate b(10).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - (sqrt(104) - sqrt(104)*1))*-4)\/(sqrt(8) + 6*(sqrt(8) + sqrt(8)*1)))**2 + 3.\nAnswer: 55\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -609*u + 6. Is f(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 3*p**2 - 7986. Let d(x) = -1205*x. Determine d(g(o)).\nAnswer: -7230*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217434.\nAnswer: 2, 3, 7, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, m: 1, f: 4, s: 4}. Give prob of picking 1 k and 1 m.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 1, q: 4, w: 1, v: 5}. Give prob of picking 1 d and 1 v.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -3*v + 18, 12*v = -210533 + 210545 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 = -3*r. Let d be (-5 + 2 - -2) + (-16 - 0). Let g = 20 + d. Calculate the remainder when g is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4, z + z = -v + 3. Let d be 1 + 10\/(-28)*2. Determine x, given that -2\/7*x - d*x**z + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 16*k**2 - k + 12. Let b(p) = 5*p**3 + 63*p**2 - 4*p + 47. Let h(z) = 2*b(z) - 9*o(z). Calculate h(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1093, -1204, -1507, -2098, -3073?\nAnswer: -4528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15410 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100100000110 (base 2) in base 8?\nAnswer: 44406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*n - p + 5115, 3*p - 2565 = -n. Suppose 2436 = 26*g - n. Is g a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012 * 0.0519\nAnswer: 52.5228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**2 + 13*n - 6. Let b be a(5). Let k(c) = c + 9. Let v be k(-7). Suppose 0 = -f - v*f + b. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*k**4*x - 3*k**2 + 30*k*x + 5 wrt k.\nAnswer: -696*k**2*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 - 3*c**2 + 3*c - 5. Determine a(-5).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -36d?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -35*u - 389. What is m(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1\/(-6)*3*8. Solve o*f = -5*z - 14, -3*z - 8 = 2*z - 2*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgxxg. What is prob of sequence gx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**6*i)\/i)\/i)**(-1\/20) assuming i is positive.\nAnswer: i**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.8 + -1.2. Let c = 12 - 4. Let u = c + q. Sort 3, u, -2\/11 in decreasing order.\nAnswer: 3, -2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5426163 or 5426357?\nAnswer: 5426163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alx when three letters picked without replacement from laxax?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50439, -201783, -454027, -807171, -1261215?\nAnswer: -1816159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 9 = -0*t + 3*t, 9*t + 0*t - 3 = -5*z + 14*t + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -7)\/((-12)\/(-8)). Let q(x) = x**2 + 4. Let a be q(-8). Let r = u + a. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 990 - 3*a + 0*a - 991 to d + j*a and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 8620.\nAnswer: -1\/1724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 5*j - 3. Let l be d(-3). Suppose l*w + 0*w = 180. Suppose 2*y - 4*y + w = 0. What is the highest common divisor of 20 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39486413177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c - 2. Let n(u) = 6*u + 263 + 208 - 473. Calculate 5*n(x) - 6*y(x).\nAnswer: -12*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 2566717 and 2566717 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 40*p = 114 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 - -87. Let p = b + 38. Differentiate 12*j**2 + 38*j - p - 38*j with respect to j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164084 and 1003884?\nAnswer: 127493268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/((t\/(t*t*(t*t\/(t*t\/((t**3*t)\/t)))\/t*t))\/t)*t)**(-39)*(t\/t**(-1))\/t*t**(3\/4)*t*t*t assuming t is positive.\nAnswer: t**(-1385\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4875 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2 + 2*a**3 - 1 - 3*a**2 - a**3 + 4*a. Let o be w(2). Let u(s) be the first derivative of 11*s**2\/2 + s - 11. Calculate u(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-119)\/14*1\/(-3). Let x = 101\/6 + z. What is the common denominator of x and -20\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vccc when four letters picked without replacement from {v: 4, c: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-330)\/770)\/((-18)\/56)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 3*z**8\/56 + 3*z**6\/5 + 5*z**4\/6 - 44*z. What is the third derivative of p(i) wrt i?\nAnswer: 360*i**3 + 432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57923921.\nAnswer: 11, 1493, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 9 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -10*v - 48. Let g = -56 + 48. Does 4 divide q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 4601?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 22 = 11*y. Let g be 12*(32\/y)\/(-8). Solve -10*u - g = -6*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from {k: 4, x: 10}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -794, -779, -748, -701, -638, -559?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107543 and 1247.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 307 or 578662?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2609 = 3*s + o, -4*s + 4*o = -3500. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, f: 2, i: 1}. Give prob of picking 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9481300831 and -92?\nAnswer: 9481300739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -13. Let j be (39 + -39)*(-2)\/(2*-1). What is the nearest to k in 0.5, 1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 6. Let g be a(3). Suppose -g*l = -0*l + 105. Let x = l + 39. What is the lowest common multiple of 28 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 6 + 2 - 17*o in the form b + r*o and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 159047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - 3\/(-3))*1. Suppose 0*s + 2*s = -5*r + 9, 4*s + 21 = 3*r. Put g, 1, r in decreasing order.\nAnswer: r, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 481*j**2*o**3 + 19*j*o + o**3 wrt j?\nAnswer: 962*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3559784 is divided by 5122?\nAnswer: 5116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -20. Let i(k) = -2*k**2 - 2. Let t be i(w). Let d = -1 - t. Solve -m - j = -d*j + 5, -2*j - 4 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200336?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85254 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167 - -162 - (-11 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 9056976*a**2 - 18113961*a - 9056982.\nAnswer: 3*(a - 3018994)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -8\/7*s**2 - 8\/7*s**3 + 0 + 2\/7*s**4 + 32\/7*s = 0.\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(39) - sqrt(195)\/(sqrt(5) - sqrt(80))))\/(5*sqrt(192)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31476224 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (31 + 5)\/6. Let x(s) = -2*s**3 + 3. Let v(n) = -n**3 + 1. What is c*x(j) - 15*v(j)?\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.05, -0.053, 71, 0, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (22 + -62 + 12 + 16 - -51).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 89*x + 40*x**2 + 0*x**3 + 3*x**3 - 284*x**2 - 2.\nAnswer: 3*x**3 - 244*x**2 - 80*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -1. Let q(u) be the first derivative of -u**4\/4 + 11*u**3\/3 - 4*u**2 - 18*u + 3265. Let n be q(i). Solve n*h - 1 = 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.4 (b) -14 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/11427 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018837735 rounded to 6 decimal places?\nAnswer: -0.001884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 75\/7. Let t be 16\/4 - 3 - -3. Which is the closest to 0? (a) x (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -2.6, 3\/7 in descending order.\nAnswer: 3\/7, -1, -2.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 34, -21, -114, -257, -462, -741?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95740.\nAnswer: 2, 5, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + m - 2*m - 23 = 0, -4*c - m - 18 = 0. Let u = 0.1 - -5.9. What is the biggest value in u, c, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 3*i + 5. Let g be p(4). Let m = g - -157\/4. Is -1 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008448 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 45\/2 of a kilogram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1664 + 1664 + 443*m)*(-5 + 19 + 16) to the form p + h*m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 672035482 and 45.\nAnswer: 672035527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 16*a**3\/3 - 3. Suppose -12*w + 7*w = -375. Let u(t) = w + t - 75. Determine v(u(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -842591*r**2 + 4*r - 11577248.\nAnswer: -1685182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(80) + sqrt(80)*1 - sqrt(80))**2 - (sqrt(5) + 1 + 0) - (1 + 1*sqrt(20)\/sqrt(4) + -1)).\nAnswer: -10*sqrt(5) + 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -208276, -416186, -624096?\n\"Answer: -207910*n - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/3886 and -85\/290174.\nAnswer: 19441658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3 + 1 + 5 - 5 + (-5 + 0 + 4)*(-4 + 3 + 3))*(1002*s + 9418 - 9418).\nAnswer: -3006*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 42\/5, 2, -4, -3, 3\/4, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2137 + -4?\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjbbhjbpjpjpbhbbbjj. What is prob of picking 1 h and 3 b?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4030 and 4810?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659700362 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 70539, 70479, 70417, 70353, 70287, 70219, 70149?\n\"Answer: -a**2 - 57*a + 70597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 1. Factor -m*h**2 + 18*h**4 - 8*h - 4*h**3 - 38*h**3 + 40*h**2.\nAnswer: 2*h*(h - 1)*(3*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 6*u**2 + 9 + 2*u**3 - 34*u + 43*u. Let s be w(-4). Suppose -7*c + 32 = -s*c. Solve l + c = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(1\/((-195)\/10))*(-15)\/(-15)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49.6 + -36.51. Let u = 13 - g. Let k = u - 0.41. Put 3, -3\/2, k in ascending order.\nAnswer: -3\/2, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41718515.\nAnswer: 5, 8343703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1128995 and 56.\nAnswer: 9031960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t*t**2)\/(t*t**(-2\/5)*t*t*(t**1\/t)\/t))**(13\/3) assuming t is positive.\nAnswer: t**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*b = -1372, -2*q + 686 = 158*b - 156*b. Is 53 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l. Let f = 1 - 7. Let p(n) = -5*n**2 + 6*n. Let d(z) = -13 + 5*z + z**2 + 13 - 5*z**2. Let r(w) = f*d(w) + 5*p(w). What is c(r(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -63384.\nAnswer: 63382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u - 3*u + 5*u + (-3*u + 5*u - u)*(-2 + 1 - 2).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 683632637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13682390 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 90251.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -256 - -270. Suppose -17 + 3 = -y. What is the greatest common factor of y and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 - -170. What are the prime factors of m?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -u + 38, -18*u = -61*u - 3*z + 544 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 21 = 2*v. Let k be 2 + (-3 - -45) + v. Calculate the common denominator of k\/(-308) - 4*(-2)\/(-56) and -39\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -1113 by -2.\nAnswer: 1113\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*b + 35*b + 15*b + 1020*b**3 + 15*b wrt b?\nAnswer: 6120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from lllltdtltldddtd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.797243kg to milligrams.\nAnswer: 7797243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 4*w = -732. Suppose -119 = 176*i - w*i. Solve i*z = 13*z + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7637, 15273, 22909, 30545, 38181?\nAnswer: 45817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2554019207 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 3*h - 5*q = -10, 0 = -2*h + 5*q - 10. Solve h = 28*c - 27*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 + 11*b + (0 + 1 + 1)*(-b + b + 2*b) + 20 - 5*b - 20.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 + 495\/4. Calculate the common denominator of 21\/32 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, x: 1, r: 8, k: 1, n: 1}. Give prob of sequence nkx.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0346 + -5.0346. Which is the second biggest value? (a) 1 (b) 1.9 (c) h (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 - 2*p - 24*p**3 + 6*p**3 + 8*p**3 + 8*p**3 to the form j*p + i + x*p**3 + t*p**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -31*v + 299. What is k(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.4 - 8.4. Let p be (158\/(-316))\/((-2)\/188). Which is the biggest value? (a) p (b) -0.3 (c) l (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3438*q - 1843*q - 1780*q = -642551 for q.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1576 + 1243 + 1197)*(-3*h + 11*h - 3*h) in the form c*h + x and give c.\nAnswer: 20080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 - d**2 + d**2)*(-2*d + 0*d + 3*d)*(25 + 5 - 10).\nAnswer: -40*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**9*v)\/v)\/(((v\/(v\/(v\/v**(12\/11))*v))\/v*v)\/v*v)*(v*v**(-1)*v)**(-3\/19))**14 assuming v is positive.\nAnswer: v**(29064\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533 a factor of 1236678635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 134\/3. Let u be 0 - 5 - ((-341)\/(-66) - 10). Sort 2\/7, u, o in increasing order.\nAnswer: u, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -11, 2, -5, -3, 36 in ascending order.\nAnswer: -11, -5, -3, 2, 36, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855599 is divided by 552?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.8, 3, -2\/15, 5, -5\/3679?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0968 - 2.0968. What is the fourth smallest value in 59, 10, -5, y?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158*d - 221*d + 169*d + 3*d - 3*d - 4*d + (-4 - 2 + 4)*(3*d + 2*d - 3*d) - 3 + d + 3 - 3 + 3 - d to the form b*d + y and give b.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/83 (b) 0.04 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9198469?\nAnswer: 7, 107, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2169?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 6. Suppose -d - w = -3. Let x be (2\/6)\/(((-7)\/6)\/d). Solve -2*i + x = -4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, 24, 108, 280, 570, 1008, 1624, 2448?\n\"Answer: 5*w**3 - w**2 - 6*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1930087694 to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13563, -27009, -40331, -53517, -66555?\n\"Answer: 2*y**3 + 50*y**2 - 13610*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -2 + 3 + (-195 - -216)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2730586 and -31\/1778056.\nAnswer: 76456408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 65172166390813 - -10\nAnswer: 65172166390823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 0.8, -4.1, 1\/859?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by 57?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009042717715 to 5 decimal places.\nAnswer: 0.00904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 + 1217*d + 4879. Determine x(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7830 + 7995. Suppose -s = 4*s - f + 4, 0 = s + f - 4. Suppose -4*p - 3*k + 351 = -s*k, 2*p - r = -5*k. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1761157*m**4*v**2 - 3*m**3 - 242841*v**2 + v + 1 with respect to m.\nAnswer: -7044628*m**3*v**2 - 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/4)*(f*f**(-9))\/f*f**(9\/10)*(f**(23\/3)\/f*f)\/f assuming f is positive.\nAnswer: f**(-101\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 76 + 104. Let f be 2\/5 - j\/10. Let s(i) = i**2 - 2. Let c be s(2). Solve -r + 3*v = -2*v + 10, -f*r = -v + c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3455*f**3 - 164*f**2 - 2*f - 12 wrt f?\nAnswer: 20730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 7*o + 9. Let p be d(4). Solve -4*m + 12 = 0, 4*z + p*m - 15 = 8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (9 + -3 - 11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -5)*(25\/10)\/5. Suppose -7 = 4*c - a + l, 0 = -3*c + 4*a - 6. Sort 9, -1, 3, c in decreasing order.\nAnswer: 9, 3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 243708509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(((m*m*m**(4\/3)*m)\/m)\/m))\/m)\/m**(-3\/4) assuming m is positive.\nAnswer: m**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256446812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/5)\/(17\/(-102))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.39 + -3.39. What is the second biggest value in 5, 1\/10, z, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -663, -732, -839, -1002, -1239?\nAnswer: -1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4626832?\nAnswer: 2, 7, 109, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 2:37 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 19\/2, 0.59, -2, -0.07, 7\/57?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 300213?\nAnswer: 300222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -120*r + 117 + 1083. Solve 28 = r*i + 88 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38468 - -38475.99952. Let d = -20 + 12. Let s = t + d. What is s rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 6*p.\nAnswer: 3*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.703 and -570.244118.\nAnswer: -568.541118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 56*h - 1519. Let v be m(27). Is v <= 0.007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 97*h - 3642 + 344 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1350 and 3518800.\nAnswer: 95007600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 13. Let d be 17\/2 + -1 + 5\/10. Let i be f(d). Let g be 4\/(-2) - 20\/(-10). Solve -4*h + 4*j + i + 1 = g, 5*h + 3*j = 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 4:45 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 256, 273, 306, 361, 444, 561?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(324) - (sqrt(324) - (sqrt(324) - (sqrt(324)*1 + sqrt(324)) - sqrt(324))*1)) + sqrt(324))*1)\/(((1*sqrt(336))\/sqrt(7))\/(1*sqrt(4)*-1))*5.\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**8\/2240 + c**5\/20 - c**4\/4 + c**2. Let d(z) be the second derivative of t(z). What is the first derivative of d(r) wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586410849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -559*m*s**2 + 12*m*s - 4*m wrt s.\nAnswer: -1118*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-275)\/420 + ((-165)\/(-20))\/11?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/4077 and -49\/496941?\nAnswer: 4472469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 71\/(-5) + -2 + 2. Let d = -207\/10 - c. Which is bigger: d or -18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 455\/2 + -233. Let j = a + 16\/3. What is the smallest value in j, -2, 0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6696 and 30318.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 10:29 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1406 - -4a33?\nAnswer: 6339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 3*d - 0*u - 40, 0 = 2*u + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 25 = -5*u + 5*i, -3*u - 20 = -4*i. Suppose n + 0 - 17 = u. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1297764*g**3 - 4277*g**2 + 29939*g - 4277. Let z(o) = -607*o**3 + 2*o**2 - 14*o + 2. What is -4*c(b) - 8554*z(b)?\nAnswer: 1222*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Suppose 0 = -7*b + 2*b + 3*a + 35, -i*b + 18 = -2*a. What is the derivative of 0 + 2*l**4 - 2*l**4 - 3 - 4*l**b wrt l?\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5)\/((-327)\/(-4360))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 2. What is the third biggest value in 1\/2, n, 2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24001 divided by 643\nAnswer: -24001\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/778440 and 7\/200?\nAnswer: 3892200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 393.5 - 393.1. Let w be ((-2)\/(-4))\/((-1)\/(-36)). Which is the third biggest value? (a) 0.1 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8\/9*f**2 + 16\/9*f**3 + 2\/9*f**5 + 10\/9*f**4 + 0*f = 0. What is f?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5708*d - 5715*d + 17128*d - 5704*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j = 6*j + 48 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-165)\/((-209)\/(-19))*(-2)\/(-25).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 98 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 6*j**3 - 21 + 8*j**3.\nAnswer: 14*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 135512886?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27834962?\nAnswer: 2, 19, 31, 23629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - sqrt(84)*1) + sqrt(84))\/sqrt(12) + 4*sqrt(175) + (sqrt(84)*1)\/sqrt(12) + sqrt(7) + sqrt(14)\/sqrt(2)*-5.\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 6 - (105 + (159 - 318))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 605710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 509055, 0, 4, 2 in decreasing order.\nAnswer: 509055, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 7*j**2 + 7*j + 4. Calculate the remainder when 900 is divided by n(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -62 in ascending order.\nAnswer: -62, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 126*c - 1459. Determine a(15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-77)\/(-33))\/((-5)\/(-3)). What is the third smallest value in -1\/4, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n. Let o(r) = -312*r**2 + 104*r**2 + 292 - 219*r**2 - 292. What is m(o(g))?\nAnswer: -1281*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 f, and 2 d when four letters picked without replacement from {x: 1, p: 1, f: 1, g: 1, d: 2, h: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.274, 0.3, -2, 3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -50 (b) 8 (c) 375 (d) -5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 109b?\nAnswer: -109c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.10723 at least 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 + -96. Sort 2, -17, h.\nAnswer: -17, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (180 + 141 - 17)*(2*k**2 - 5*k**2 - 14*k**2).\nAnswer: -5168*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**4 + 5*h**3 - 14*h**2 = 0?\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p + 48. Let h(t) be the first derivative of t**2\/2 - 2*t + 57. Let b(k) = -f(k) + 3*h(k). Differentiate b(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -11747, 1, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1691500 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in years?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from dbztj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -148*k - 1123. Let n(q) = -161*q - 1125. Let r(j) = -5*c(j) + 6*n(j). What is the first derivative of r(d) wrt d?\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -8. Let g = -2 - i. Let b be (-2 + 5 - 0)*1. Which is smaller: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13792640, 13792642, 13792644, 13792646, 13792648?\n\"Answer: 2*l + 13792638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -10. Let n(o) = -3*o - 3. Let s be n(f). Solve 0 = -3*v + s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h + 9. Let d be g(6). What is the common denominator of (4\/18)\/((-5)\/(-25)) and (2\/d)\/(2\/(-48))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2 + 2328*c - 4652. What is i(580)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**8\/1008 - 2*j**7\/315 - j**6\/60 - j**5\/45 - j**4\/72 + 4*j**2. Factor i(v).\nAnswer: -v*(v + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(272) + 0)*-3*-2.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*m + 5*m + 4, g = 4*m + 4. Let w be 18\/g*124\/6. Suppose -2*i + w = i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 127630 and 16?\nAnswer: 1021040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 - (2 - (5 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 249940*b + 249940*b + 2156*b**2.\nAnswer: b**3 + 2156*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/265*(12\/(-66) - (-15)\/(6600\/256))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25785 is divided by 1035.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6 + 6 + n**2 + 7*n + 3*n. Let g be l(-8). Suppose u = -5*p - 10, -p + 4*u - 33 = -10. Are g and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1941 and 7023.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 times 5384\nAnswer: 13460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = 4, 3*d + 6 = -4*r. What is the units digit of (-6 + 56)\/(-1 + d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6924004 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x - 1976 = -392. Suppose 0 = u - 44 - x. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39493 and 135791.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14067\/10 - -1417. What is the common denominator of v and 714\/(-4)*10\/(-90)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2850 - 65564\/23. Let g = 183493\/115 - 15933\/10. Let y = g - v. Calculate the common denominator of y and 81\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - f**2 + 14 - f + 22 in the form p*f + g + w*f**2 and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/11448 and 59\/783.\nAnswer: 331992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -42 (c) 4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4*y - 1376 = -4*o, -5*y = -5*o + 1680. Calculate the highest common divisor of 68 and o.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 25 = 20*p. Solve 16 - p = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1017185 (base 9) in base 15?\nAnswer: -aae78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63? (a) -2 (b) 1\/7 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3248\/126 + (-52)\/2)*144\/(-44)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 34*n**2 + 28. What is x(-34)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30594955 = -205*y + 200*y. Let n = y + -2888991. Round n to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -56, -84, -110, -134, -156, -176?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5bd (base 15) in base 9?\nAnswer: -1707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 21. Let i be z(9). Suppose 2*x - i*x = -b - 3, 2 = 4*b - 2*x. Let p = 59\/3 + -20. What is the nearest to -3 in 4, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 119*o**2 - 10*o + 10. What is the hundreds digit of f(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27\/(-18))\/(6\/(-20)). Let o(u) = -u - 1. Let n(g) = -10*g - 4. What is f*o(v) - n(v)?\nAnswer: 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -9*m + 13*m. Let z(k) = -2*k - 1. Let f be z(-4). Suppose -6*c - m = -f*c. Calculate the greatest common divisor of c and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) 5447 (c) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17729 + 17766. Which is the second smallest value? (a) 3 (b) 2\/9 (c) -1\/4 (d) -4 (e) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17569162159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4 = -2*d - 28, -3*r + 21 = -3*d. Let a(w) be the second derivative of 0*w**3 + 0*w**r - 1\/15*w**6 + 0*w**4 - 8*w + 0*w**2 + 0. Factor a(k).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 - q + 10. Suppose -5*l - 10 = 0, 9*d - 12*d + 19 = -2*l. Calculate the remainder when k(d) is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45\/8 of a microsecond?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 13394 = s, -16893 - 16578 = -5*w - s. List the prime factors of w.\nAnswer: 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103\/245 + -1\/49. Let s = 22.9 + -23. Which is the nearest to s? (a) i (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u - 4*c = -305, 0 = 2*u - c - 619. List the prime factors of u.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3909*f - 3917*f + 11734*f - 3908*f - 5*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 450, 449, 448, 447?\n\"Answer: -h + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -0.8. Let b = w + -0.2. Let a = b + 0.3999996. Round a to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 v when three letters picked without replacement from {i: 1, h: 2, w: 2, v: 2, b: 4, q: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 3*o + 2*o)*(0*o + 93*o + 58 - 121 + 60).\nAnswer: -93*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14503, 29004, 43505, 58006?\nAnswer: 72507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a decade in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 + 9*h**2 + 9. What is l(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 128, 578, 1726, 3920, 7508, 12838, 20258?\n\"Answer: 58*t**3 + t**2 + 41*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 74 = 7*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/9*s - 2\/3*s**2 + 2\/9*s**4 - 8\/9 + 4\/9*s**3.\nAnswer: 2*(s - 2)*(s + 1)**2*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -346\/7 - -49. Let s = 3 + -2.9. Which is the second biggest value? (a) s (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 5*u**3 + 2*u**3)*(26*u + 29*u + 18*u + 1 + (-5*u + 3*u + u)*(0 + 4 - 1)).\nAnswer: -70*u**4 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115599)\/(-96954))\/((-1)\/(-26))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139 - 139. Suppose j*u - 1068 = -4*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5837?\nAnswer: 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 + -14 + -43 - 43) + 10.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-13)\/(-2))\/(-13)*-78. List the prime factors of h\/26 - 1023\/(-6).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 99, -157.9, -5, -0.1, 1, 0, -2?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 14 + 65 = 0. Let i(v) = -v**3 - 15*v**2 - 196*v - 2937. Let t be i(-15). Solve 4*n = t + h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 43.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 61, 1\/5, 2, 1.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 10:23 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uau when three letters picked without replacement from {u: 3, z: 1, a: 3, h: 1, i: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:00 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12307 is divided by 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10154, 10156, 10158, 10160, 10162?\n\"Answer: 2*w + 10152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**4\/3 + 1170*x**3 - 6975*x**2 + 31340*x\/3 - 4640 = 0. Calculate x.\nAnswer: 1, 4, 696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 80394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 39*a**2 - 4*a + 4. Let f(r) = 11*r**2 - r - 1. Determine -5*f(n) + q(n).\nAnswer: -16*n**2 + n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 3*n**2 + 3*n - 2. Let v be g(-4). Let u(t) = -26*t + 4. Let y be u(0). Suppose -3*q = -0*q. Sort q, v, y in descending order.\nAnswer: y, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2559 + 4148 = 3*c, 8911 = 4*c + 5*m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4093 times 1954\nAnswer: -7997722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.27, 3, 0.2, 0.3, 0.1 in increasing order.\nAnswer: -0.27, 0.1, 0.2, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 2. Let l(b) = b + 3. Let j(v) = 2*l(v) - 3*n(v). Let m(p) be the second derivative of 5*p**3 - 8*p. Calculate j(m(k)).\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -82?\nAnswer: -57\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 2200 = 11*p. What is the highest common divisor of 44 and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2592\/5 + 2\/5*l**3 - 16*l**2 + 936\/5*l.\nAnswer: 2*(l - 18)**2*(l - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15322 and 23959566?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151330 (base 7) to base 9.\nAnswer: 44201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a century in months?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -3 - ((-3 + -12 + -3 - -18) + -19)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.429 to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3 - 3756*z**2 + 968344*z - 1921680 = 0 for z.\nAnswer: 2, 306, 1570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000706 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a micrometer in nanometers?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + -44. Suppose -13*o + x*o = 880. Let l(y) = -9*y + 4. Let s be l(-2). Calculate the highest common divisor of o and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189\/20 - 37\/4. Suppose 4*x - 9*x - 5 = 0. Let r(t) = 2*t - 1. Let f be r(x). Which is the second biggest value? (a) -0.2 (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 3*d**2 + d**2 - 9*d)*(1 + 2*d**2 - 1).\nAnswer: -2*d**4 - 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1516173167227 and -0.3.\nAnswer: -1516173167227.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, b: 2, l: 1, u: 3, s: 3, k: 2}. What is prob of sequence ss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/(-10) + -11 - 3\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7420585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 24*k**2 - 5*k. Let b(x) = -7*x - 1. Let h(g) = -34*g - 4. Let i(l) = 4*b(l) - h(l). Determine f(i(s)).\nAnswer: 864*s**2 - 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3307\/7 + -472. Let r be (-65)\/130 - (-1)\/18. Put -1, z, r, -45 in decreasing order.\nAnswer: z, r, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = -0*s. Let w = s + -1. Let m = 4 - w. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 < -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 73. Let z(h) be the first derivative of 2\/15*h**5 - 1 - 1\/3*h**6 + 0*h**3 + y*h**2 + 1\/3*h**4 + 0*h. Find t, given that z(t) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**3 - 6*q**2 + q + 2. Let c be p(2). What is the greatest common factor of 370 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or 193?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44.976 + 46. Let c = y + -0.014. Let p = -0.61 + c. Do 13 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17272 and 60749942.\nAnswer: 4318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -724, -4, -17281 in increasing order.\nAnswer: -17281, -724, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 - 84*h - 63. Let v be b(22). Solve 3*y + 19 - v = -d, 0 = y - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -37*l - 183. Let j be s(-5). Let o = -13 + 68. Which is bigger: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 998.9252 - -0.0748. Let p = 999.0000004756 - u. What is p rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*j + 4 = -318 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24123, 48244, 72365, 96486?\nAnswer: 120607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6300?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -64 (c) 2\/21 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, -24, -72, -150, -264, -420, -624?\n\"Answer: -v**3 - 6*v**2 + v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-115)\/(-690)*(7 - 1). Calculate the greatest common factor of i and 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312 (base 5) in base 16?\nAnswer: cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(35\/(-25)) + -744. Is -0.1 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2120, 2119, 2118, 2117, 2116?\n\"Answer: -j + 2121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 22820922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 22, -6547, -4 in decreasing order.\nAnswer: 22, 1, -4, -6547","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 1865 - 21*(-4)\/48*4. What is the greatest common divisor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 1 + 12 - 8) + 42 + 3.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -211 + 2032259235722.\nAnswer: 2032259235511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17474 >= 17456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6862 = -4*z + 18194. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1096*i - 745*i - 23*i**3 - 351*i - 14*i**3.\nAnswer: -37*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19035 and 22560.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6778012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -4 (b) -1\/3 (c) -13\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(sqrt(320) + 1).\nAnswer: -3 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 249 and 845835653.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**7\/168 + 2*z**6\/45 - 4*z**4\/3 + 41*z. Let o(d) be the third derivative of n(d). Find the second derivative of o(r) wrt r.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178269401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147.84 + -147.84020786. Round u to 6 decimal places.\nAnswer: -0.000208","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1817?\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -232, -500, -842, -1264, -1772, -2372?\n\"Answer: -j**3 - 31*j**2 - 168*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -30736\nAnswer: -30735.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) - (sqrt(88) + -1*sqrt(88) - sqrt(88))*-2) + 2*sqrt(88)*-2)\/((sqrt(224)\/(sqrt(21)\/sqrt(3)))\/sqrt(4)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x - 21*x - 4*x**2 + 29576*x**4 - 29573*x**4 to f*x**3 + w*x**2 + c*x**4 + p*x + m and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*y - 2 + 47*y - 207*y**2.\nAnswer: -207*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 104*h**3 + 4*h**2 - 3*h. Let z(g) = 2*g**3 + 7*g**2 - 3*g + 5. Let x be z(-4). Does 7 divide q(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-25) - (-24)\/10. Find the second derivative of 0 + 4*g**2 - g**x + 0 - g wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3638251 tonnes to milligrams.\nAnswer: 363825100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.8 and -0.174.\nAnswer: 2.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.8, -154, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266 - 272 - (13 + 1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 6*k + 9.\nAnswer: -3*(k - 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from {e: 2, t: 1, m: 1, j: 1, w: 2, s: 2}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = -0. Let i(m) = 3*m - 5*m + 2 - 5*m. Is i(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3848052, 7696091, 11544130, 15392169, 19240208, 23088247?\n\"Answer: 3848039*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + r + 11. Let v be j(7). Calculate the highest common factor of 29 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u**(2\/7)*u)**(-1) assuming u is positive.\nAnswer: u**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*(0 + (-36)\/21). List the prime factors of o\/18 + (-73)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -303108, -2424836, -8183812, -19398660, -37888004, -65470468?\nAnswer: -103964676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - -0.2. Let j = -43 + 43.2. What is the closest to -0.4 in j, v, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -0.4 (c) 13\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 + 31*v - 18. Give y(-7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g = q + 72, 0 = -4*q + 9*q + 5*g - 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.4, -5.35, -5, -199?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*s + 24, 0 = 2*s + 3*s - 5*j + 40. Let q be (-3)\/(-2) + (-2)\/s. Suppose 12 - 9 = 3*t. Sort 5, q, t in decreasing order.\nAnswer: 5, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/5 + 28\/35?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 = -10*c + 259. Let i = -41 + c. Calculate the remainder when 76 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -7*p - 10*p + 12*p - x + 31, 2*p - 15 = -x for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 5*w - 8180. Suppose -5*b + w + 347 = 0. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 4?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -54. Let x(i) = -2*i**2 + 14*i**2 - i**3 + 2*i**3 - 6*i**k - 5*i - 2. What are the prime factors of x(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -11 (b) 0.16 (c) -3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzjnz. What is prob of picking 1 n and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/7*(-28)\/8. Let p be 147\/12 - d\/8. Solve 0 = n - 5*u + p, n = -u + 2*u - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2, -5*r + 0 = 2*h - 12. Let u(v) = -v**2 - v. Let g be u(h). Let d be (-9)\/6 + 2\/4. Is g at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306386, 306387, 306388, 306389?\nAnswer: 306390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -24*g + 740. Calculate the remainder when 218 is divided by g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69662 - 34832 - 34830 - 16309*f)*(-1 + 4 - 2).\nAnswer: -16309*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6673, 6605, 6539, 6475, 6413?\n\"Answer: n**2 - 71*n + 6743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - -104362?\nAnswer: 104345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10139759 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -18*y + 4. Let d be c(1). Let z be 18\/(-63) - (0 - (-46)\/d). Is 2*(-1)\/z*(-42783)\/26 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189 times -9\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.9 in -2, -0.1, -0.2, 21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3040 + 3040. Suppose -4*i = -0*i - 1260. Suppose p*x = -3*x + i. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 662.82, -1\/20, 1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(2835\/(-150))*(68\/(-420) - 7\/(-21))?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.022 + 47. Let k = j + 0.092. Round k to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 1:36 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 2809761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*g - 21 = -6, -3*d + 3*g = -12. Let a(r) = -36 - 34 + 70 + d*r**2. Let s(l) = 11*l**2. Give s(a(c)).\nAnswer: 275*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 648, 638, 614, 570, 500, 398, 258?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -25169.4 + -77655\nAnswer: -102824.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**7\/168 + z**6\/60 - 3*z**5\/40 - 5*z**4\/12 - 19*z**3\/24 - 3*z**2\/4 + 144*z. What is v in h(v) = 0?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Let c(d) = d + z - 3. Let x(q) = q. Let l(w) = w. Let h(r) = 3*l(r) - 2*x(r). Give c(h(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18176 - 143?\nAnswer: -18319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15*m - 1110. Let x(l) = 12*l + 1099. Calculate -6*x(v) - 5*y(v).\nAnswer: 3*v - 1044","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-2)\/4*4. Let i be k + (-3 - -2) + -10. Let w(b) = -12*b**2 - 28*b - 27. Let x be w(-1). Is i equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcxcxxxx. What is prob of picking 1 x and 1 c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laapapalpa. What is prob of picking 3 p?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 11*l - 25560000. What is l rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 282 - 305.98. Round o to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.38 and -7?\nAnswer: 2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyh when four letters picked without replacement from hhyyhyyyyy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4 - 2760*b**3 - 13749*b**2 - 21972*b - 10980 = 0 for b.\nAnswer: -915, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/103 (b) -0.4 (c) 1\/5 (d) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Let d = -9 - -6. Let r = 0.0647 - 0.0547. Which is the biggest value? (a) r (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 - -778. Suppose r = 5*l - p, 3 = -r - 0*r. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2.034675?\nAnswer: 4.034675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(468) + -5)**2 + sqrt(65)\/sqrt(5)*1 + 1) + 1.\nAnswer: -118*sqrt(13) + 989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6) + (1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -120916 from -42.33294625.\nAnswer: 120873.66705375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.42 and -6011.\nAnswer: 20557.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -40*x. Let r(b) = -149*b. What is r(o(t))?\nAnswer: 5960*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.765195 from -675976.\nAnswer: -675975.234805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*r - 3 - 7 - 72*r + 37*r + 8.\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 - 88. Suppose -4*c = 4*i + 56, i + k = -5*c - 0*c. Let h = c - -18. Let v(s) = s. Calculate v(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**4 - 2*h**4 + 4*h**4 + (9*h**2 + 10*h**2 - 4*h - 21*h**2)*(-h**2 + 0*h**2 + 2*h**2).\nAnswer: -4*h**4 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -16. Let n(h) = 6*h - 59. Let g be n(32). Let k be (912\/g)\/((-1)\/(-14)). Calculate the highest common divisor of k and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4760 and 5355.\nAnswer: 42840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 142.373, 4, 1, -24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25683, 51427, 77301, 103365, 129679, 156303, 183297?\n\"Answer: 10*t**3 + 5*t**2 + 25659*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 3:52 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) -7 (c) 0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4411306771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -432 + 192*c - 444 + 874 to s + p*c and give p.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18682779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 302875 and 10500.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (-185 + (-4)\/(-2)). Suppose -2*i = -5*q + 228, 5*i + z = 2*q + 2*q. Calculate the least common multiple of 9 and q.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-3 - -2)) + 62865\/1980. Sort 1\/5, l, 0.\nAnswer: 0, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z + p - 10, -4*p + 16 = 4*z. Suppose 0*w + 48 = -3*w - 3*d, 0 = z*d + 10. Let q = w + 15. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 644 and 1242\/24*(61 + -45)?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1976842, 1976831, 1976804, 1976755, 1976678, 1976567, 1976416?\nAnswer: 1976219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 6115*a.\nAnswer: 5*a*(a + 1223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**6*j**6*j**(-5)\/j**3*((j\/j**1)\/(j\/(j**7*j)))\/(j**0)**(23\/3) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1843023 is divided by 254.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200411724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 126, 154, 156, 126, 58, -54?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*d - 45. What are the prime factors of (-1608)\/d - (-16)\/(-520)*-5?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q = 0. Calculate the common denominator of (2 - 41)\/(-5 - q) and -71\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1145, -4566, -10273, -18272, -28569, -41170, -56081?\n\"Answer: -d**3 - 1137*d**2 - 3*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.7489369ms?\nAnswer: 0.0007489369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:01 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g\/((g*g**26)\/g*g*g*g))\/g)\/g)\/g)\/g*g**(2\/79) assuming g is positive.\nAnswer: g**(-2447\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -96*j - 39 - 56*j**2 - 32 + 9*j - 61 - 61*j**2. What is the derivative of u(l) wrt l?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -879 by 2.\nAnswer: -879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.42, -4\/11, 1\/191, -2, -4 in decreasing order.\nAnswer: 1\/191, -4\/11, -2, -4, -4.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - -61. Let u = k + -84. Suppose -4*z + u*z - 3*m = -971, -5*z = -5*m - 2390. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 28, 136*k - 139*k = -3*z - 56241. What are the prime factors of k?\nAnswer: 2, 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-6*3*sqrt(252)*-4*2)**2)*6.\nAnswer: 31352838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1767 = -5*h, h + h + o - 706 = 0. Let v = 942 - h. Suppose -c + v = -0*c. Is c 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 565?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*o - 55*o + 97*o + (o + 0*o - 4*o)*(-1 + 0 + 0) + 1 + o - 1.\nAnswer: 66*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/3516 and -59\/126.\nAnswer: 73836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108559 - 47786. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 38 = -7*z. What is the greatest common factor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*c**2 - 41*c**2 - c**3 - 39*c**2 + 2 in the form t + j*c**2 + d*c**3 + f*c and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x - 4. Let a(i) = i - 1. Let c = 395 - 393. Suppose -6*q + 7*q = -5*k + 7, 4*q - c*k = -16. Give q*a(j) + n(j).\nAnswer: -7*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1011882 divided by -274.\nAnswer: 3693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (191 - 197) + (-67 - (2 + -2) - 2 - 3)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.503131 to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 4 - 4 - -22 - (-60)\/15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 745 (b) -0.2 (c) 5 (d) -0.5 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255610438?\nAnswer: 2, 31, 4122749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -230 - -232. Let z be (-31 - -30) + 2*1\/v. Suppose 2*h = 4*c - 6, -3*h + 17 = 2*c + 2. Solve -2*w - h*w + 25 = z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a. Let g(f) = f**2 + 99*f + 13. Calculate v(g(p)).\nAnswer: -2*p**2 - 198*p - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -4135638?\nAnswer: -4135643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/5 + 2\/5. Let v(m) = 7*m**2 - 2*m - 5*m + 1 - s. Let g(l) = -4*l**2 + 4*l + 2. Suppose 3*t - r + 1 = -6, -8 = 4*r. What is t*v(j) - 5*g(j)?\nAnswer: -j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 50. Let x be (-1448)\/(-22) + (-3)\/33*m. What is the greatest common divisor of x and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1023*s + 52253. Calculate b(-51).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from kkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from ttgggtgtgtgtgggggg?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 + -109. Let v(z) = 4*z**2 + 10*z - 13. What is the tens digit of v(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 333, -780, -3, 4, -4.\nAnswer: -780, -4, -3, 4, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 3*o + 1. Let i be v(-2). Let q be i\/2 - 1\/1. Let m = -7 + 6.9. Which is the nearest to -2? (a) m (b) q (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.147703 tonnes?\nAnswer: 147.703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21721 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m - 11. Let j be o(5). Let r(x) = x**3 - x**2 + x + 1. Let h(a) = -4*a**4 + 6*a**3 + 98*a**2 + 126*a + 50. Let t(w) = j*h(w) - 6*r(w). Factor t(l).\nAnswer: 4*(l - 7)*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105798 is divided by 936?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/(4\/(-6)). Let w = -29.962 - 0.038. Let x = 29.8 + w. Which is the closest to p? (a) x (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1908316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2 - 6) + (-2 - -6) + -144 + 58.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9 = -s, 4*x - 5*s - 27 + 0 = 0. Suppose -x*l = -l - 134. Calculate the remainder when l is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94122 (base 15) to base 14\nAnswer: c30b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -5.4.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/121, 12, 18, 3\/2, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13284 and 31488.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 269 (b) 2\/15 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 * 0.16923.\nAnswer: -0.0372306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 3*b + 1. Let g be f(3). Let q = g + 0. Let o = q - -3. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 11:23 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-5)*(-2)\/6. Suppose z*x - 248 = 104. Suppose 0*n - 4*n + x = 0. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -0.3, -1, -6, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 8 = -4*m, -3*m - 3 = -4*p - 11 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 148*m + 59. Let l be a(0). What is the highest common divisor of l and 1003?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5492*l*v**2 - 13282774*l - 31001*v**2 wrt v?\nAnswer: -10984*l*v - 62002*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 208.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3840) + sqrt(3840) - sqrt(3840))*3)\/((sqrt(1500)*1)\/sqrt(5)) + 1.\nAnswer: -24*sqrt(5)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - 1127\/(-35))\/(15\/300).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 + -78. Let f(m) = m**3 - 14*m**2 + 9*m + 2. Calculate the lowest common multiple of 2 and f(p).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11995, 24029, 36087, 48181, 60323, 72525?\nAnswer: 84799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8640\/2700 + (-770)\/(-25).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10239, -10084, -9665, -8850, -7507?\n\"Answer: 22*p**3 + p - 10262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/270 - 8*r**5\/45 + 34*r**4 - 1440*r**3 - 7106*r**2. Suppose q(x) = 0. What is x?\nAnswer: -60, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26140\/53 + -1053241\/1908. Let r = -500\/9 - l. Let x = 3 - r. Put -0.2, x, -2\/15 in decreasing order.\nAnswer: -2\/15, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4504808.\nAnswer: 2, 7, 11, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*d + 105*d - 180. Solve 20*b = d*b + 72 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1740)\/3190*22\/(-8)*(-1)\/24.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 278, -960, 6, 5 in ascending order.\nAnswer: -960, 5, 6, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 8*n + 6. What are the prime factors of b(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 1. Suppose z + 26 = 69. Suppose 2*a + z = -3*p + 8, -4*p = 3*a + 50. Let m = 6 + a. Give r(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13096 - 13098. Sort 2, -4, -124, t, 0.3 in increasing order.\nAnswer: -124, -4, t, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 524 = f. Suppose -f = -4*j + 154. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1655 (base 8) in base 3?\nAnswer: 1021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -928 (base 11) to base 5.\nAnswer: -13434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**3\/6 + 9*h**2 - 14*h. Let d = 571 + -585. Calculate i(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -3167?\nAnswer: 316a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 484.3788 centimeters?\nAnswer: 0.004843788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56.51 - -70. What is n rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187645 + 254355. What is f rounded to the nearest ten thousand?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3484700 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(51)\/sqrt(3)*-3 - -2*sqrt(833)) + 2 + (5*(sqrt(85) + (sqrt(85)*1 + sqrt(85) - sqrt(85)) + sqrt(85)) - sqrt(85))\/(-2*sqrt(320))) + -4)**2.\nAnswer: 1944*sqrt(17) + 1007929\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0) + 0 - 4 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + -2 - (3*sqrt(136))\/sqrt(8).\nAnswer: -2 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -32. Let m = r + -26. Let y be 115\/20 + m\/(-4). Solve -l = 4*l + 2*q - 11, -3*q + y = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*-2)*-1 - sqrt(136))\/(sqrt(8) - 1*sqrt(128)) - (sqrt(204) + (1*sqrt(204) - sqrt(204))*4 + sqrt(204))\/(2*sqrt(588) + sqrt(588)).\nAnswer: 26*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 745*j**2 - 291*j**2 - 306*j**2 - 177*j**2.\nAnswer: -29*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54.34509 centuries?\nAnswer: 543.4509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/38 (b) 27 (c) -98 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-31)\/(-62))\/((-2)\/(-20)). Suppose 4*g - 2030 = -x*s, -5*s + g + 428 = -1577. What are the prime factors of s?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4294 - -42981\/10. Calculate the common denominator of a and 13\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -15*m**4 - 155*m**3 - 485*m**2 - 445*m - 100 = 0?\nAnswer: -5, -4, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2 - 14*b - 20 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 101313043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-1)*c*c\/(c\/(c\/(c\/(c*c\/c**(-1\/3))*c)))*((c*((c*c*(c\/(((c*c**(2\/7))\/c)\/c))\/c)\/c)\/c*c)\/c*c)\/(c*(c\/(c**(2\/5)\/c))\/c) assuming c is positive.\nAnswer: c**(362\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = -i, -5*r + 4*i = -19 - 5. Solve -3*t**4 + 157*t**2 - 192*t + 7*t**r + 83*t**2 - t**4 - 51*t**3 = 0 for t.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r = -i - 25, -r - 2*i - 5 = 0. Let s = -5.03911 - -5.36911. Which is the second smallest value? (a) s (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45.9 + 49. Let p = -3 + w. Put p, 0.5, -3 in decreasing order.\nAnswer: 0.5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.3732662 rounded to two dps?\nAnswer: -15.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -284 + 288. Solve -2*l - q + 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 6866832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.56565 plus -1185877?\nAnswer: -1185880.56565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 806 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 4*p + 0*p)*(0*p**3 - p**3 + 3*p**3) + 2*p**4 - 4*p + 4*p + 16876 - 16876 - 38*p**4 + 2*p**2.\nAnswer: -32*p**4 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*g = 330, 2*o + 2*g = 112 + 108. Solve 14 = -12*a + o for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 + 93. Suppose -l*n + 671 = -3*w, 0*n - 2*w - 674 = -5*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 52.81. Let l = j - 0.18601. Round l to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 - 1.5712?\nAnswer: -1.4912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3391007, -6782016, -10173025, -13564034?\nAnswer: -16955043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 695549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004491 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*o**2*x*z + h*o**2*x + 502*h*o - 2*h*x*z + 95*o**2*z wrt z?\nAnswer: 2*h*o**2*x - 2*h*x + 95*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 12:08 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4120 and 1462840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x + 2. Let g(b) = -b - 8. Let m = -4 + -1. Let v be g(m). Is v not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 5. Let v = -132 - -102. Let n be 6\/(-18)*v\/(-5). Let q be z(n). Solve -2 = q*m - 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 916.14 decades to years.\nAnswer: 9161.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjqz when four letters picked without replacement from jzkkkjkkkkqqkjqzz?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k - 43. Let x be m(7). Suppose 2*y - 4*y = 3*u - x, -4*y - 9 = u. Solve 20 = -12*f + u*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/966 and -63\/230.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 54 + 86 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 41091840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 3*o + 5*o)*(0 + 0 - 3*o) + 89*o**2 - 248*o**2 + 75*o**2 - 24*o + 10*o**2 + 24*o.\nAnswer: -80*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -398 - -402. Solve -18 = -b - 5*d, 4*b + 4*d - z - 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-570)\/(-3)*(-2)\/(-4). Suppose 0 = -2*c - 3*c + g. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 3*s**2 + 13*s + 26. Let b be w(3). Calculate the highest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -473.512 + -0.5\nAnswer: -474.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f - 16. What is the common denominator of f - -2 - 111\/(-60) and -103\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94543 times -5\nAnswer: 472715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 906134083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 478913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - u + 3*u, 2*u = 0. Suppose -h - 3 = -2*f, -4*h - 3*f + p*f - 23 = 0. What are the prime factors of -1 + 2 + 1 - h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 21*u**2 - 2*u - 38. What is z(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 580566, 1161171, 1741784, 2322405, 2903034, 3483671, 4064316?\n\"Answer: 4*w**2 + 580593*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 - 136*z + 1456. Let q be 4\/6 - (-46)\/(-6). Let r(p) = 6*p**2 - 271*p + 2911. Let m(c) = q*d(c) + 4*r(c). Let m(u) = 0. What is u?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-3)*23\/(-161)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 - 117. Let a(h) = -4 - 8 + 13 - 5*h + g. Let d be a(4). Solve 0 = q + 1 + d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1638381 divided by 31.\nAnswer: -52851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 114657383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**4\/6 - 2*d**3\/3 - 5*d**2\/2 - 28*d - 1. Let y(n) = 3*n**2 - 1 + 4 + 5*n + 3. Give -5*s(q) - 4*y(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2583, -5157, -7735, -10317, -12903?\nAnswer: -15493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-61)\/(-183))\/(0 - (-2)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 0.3 (c) -20 (d) 0.4 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 573589660.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + l**2 + l + 140. Let t be b(0). Let n be t\/34 - 1 - 3. Let g = -13\/3 - -49\/12. What is the smallest value in n, 2\/15, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 16754976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 3, f: 2, y: 3, m: 1}. What is prob of picking 1 j and 1 m?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 899\/15 + -60. Let n = 31418\/43 + -94923367\/129903. Let o = n - 5\/159. Which is the third biggest value? (a) r (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 150675353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*a - 4, -59 + 19 = 3*p + 4*a. Let f(b) = b**3 + 29*b**2 + 9*b - 13. Is f(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5*s + 1 = 0, -106*s - 64 = 3*n - 98*s for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*k - 6*k - 18*k**2 - 1 + 23*k to the form f*k + o*k**2 + h and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/9)*d)**(-6)\/(d**(-11)*d\/d**(2\/41)) assuming d is positive.\nAnswer: d**(416\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -13*d + 516. Let k = -418\/9 + 748\/9. Which is smaller: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Suppose 0 = -3*m + 3, -g - c*m - 21 = 3*g. Let z be 1 - (g\/3)\/(-1). Is z at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100296400 rounded to the nearest one hundred thousand?\nAnswer: 100300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125712 and 1151778?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 18*h = 1480. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*h. Suppose h*l + 3*w - 9 = -3*l, 2*l - w - 21 = 0. Is l less than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = n + 4, -2*q - 4*n + 78 = 82 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 102*r**2 - 2*r - 30. Let z be j(-9). Suppose 0 = 2*h + 5*b - z, 3*h + b = -0*b + 12349. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrrovvoornrvvkvknkr. What is prob of picking 2 o and 1 n?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is -97 + (-23 - -99) - (6 + -12 - 66)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6664 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7619*h = 7554*h + 1820 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51229 to two dps.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 31\/8 (c) 27 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/12 + z**3\/2 + 7*z**2\/2 + 3*z. Let t be v(5). Let p = -18 + 21. Sort p, 0, 5, t in descending order.\nAnswer: 5, p, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - 3*b - 2*b)*(3 + 1 - 2 + (-1 + 0 - 1)*(-1 + 0 + 0)) to the form g*b + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 29455291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -355503151 (base 6) to base 12.\nAnswer: -22b7ab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -42 and -297.\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 5. Suppose 0 = j - 2 - 3. Let f be x(j). Solve -3 = -m - f*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfyw when four letters picked without replacement from yywwywpwwfwyyw.\nAnswer: 5\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1569 - -3396. Does 24 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 526980\nAnswer: -1\/175660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -1251586, 3 in increasing order.\nAnswer: -1251586, -31, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*u**2 - 3*u**3 + 13*u**2 + u - 7*u**3 - 17 + 2*u**3 to r*u**3 + g*u + p*u**2 + q and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, 4, -1, -3\/7, -2\/13 in descending order.\nAnswer: 4, -2\/13, -3\/7, -1, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/387400 and -51\/77480.\nAnswer: 387400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 189 = 8*w. Suppose 11*v - 143 = -22. What is the remainder when w is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 10*g**2 + 12*g + 14. Let r = -2 + -1. Let h(u) = u**2 - u - 1. Let o be h(r). What is the remainder when y(o) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 67\/3*q**3 + 0 + 0*q**4 + 0*q - 156*q**2 + 27\/10*q**5. Find the first derivative of j(p) wrt p.\nAnswer: 324*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 17*a**2 + 19*a + 48. Let i be y(-16). Suppose t - 2 = i, -2*v + t - 92 = v. Suppose m - 3 = -0*m. Put m, v, 4 in descending order.\nAnswer: 4, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 0)*((-818829)\/(-72) - (-4)\/(-32)).\nAnswer: 5, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 10:24 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = o + 19 - 54, -3*o - 135 = -3*i. What is the greatest common factor of 136 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7242 and 923.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 5*v + 4. Let s be q(5). Suppose 2*j + 3*j = 3*d, -d = j. Solve -s*f + 7 - 23 = d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1255.8189 + 1256. Let p = d - 0.1808783. Round p to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -181125, -181107, -181089, -181071?\n\"Answer: 18*w - 181143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4540 is divided by 117?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -484353 by -1.\nAnswer: 484353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2876355 divided by 5\nAnswer: 575271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 - 38. Does 27 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 - -2. Let q be ((-4)\/66)\/(1\/(-3)). Let h = 77.6 - 78. Sort w, q, h in descending order.\nAnswer: q, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10565*z + 8 + 14 + 10561*z.\nAnswer: -4*z + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**4 + 3*g**3 + 60*g - 58*g + 5 - 3*g**4 + 2*g**2 - 3 as j*g**2 + m*g + v*g**3 + n*g**4 + l and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*v - 9*w - 725 = -8*w, -5*v = 4*w + 12 + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 31.27. Let f = y + 0.24. Let o = -21 + 23. Which is bigger: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 173*z + 384. Calculate a(-84).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 2*p + 4. Let a(g) = -g**2 + g - 3. Let u(q) = 3*a(q) + 2*s(q). Let z(j) = -2*j**3 + 2*j**2 + 2*j + 2. Give -2*u(x) - z(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 24686430*f - 24686435.\nAnswer: 5*(f - 1)*(f + 4937287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1dc - -825?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2\/19, -3\/5, 44 in increasing order.\nAnswer: -3\/5, 2\/19, 0.3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 4*j**2 - 116*j + 113. Determine x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 613448993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45526*x - 45539*x = 494 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1168*l = 233*l + 276482305. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381*m + 3676528 = 58*m - 63*m. List the prime factors of m.\nAnswer: 2, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 186*b - 4. Let a(z) = 7*z - 28. Calculate a(h(c)).\nAnswer: 1302*c - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 342 (b) 0.1 (c) -3\/14 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 5*r - 1. Let f(d) = -13*d**2 + 262*d - 13450. Let j(i) = -f(i) - 6*n(i). Factor j(o).\nAnswer: (o - 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9814169*d**5 + 7*d**4 - 2*d**3 + 144*d**2 + 408*d - 627 wrt d?\nAnswer: -588850140*d**2 + 168*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -96139, 61, 5, 6 in increasing order.\nAnswer: -96139, 1, 5, 6, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4370 and 368.\nAnswer: 34960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816 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: Suppose 0 = -2*q + 5*a + 375, 2*a = -6*q + q + 894. Is 60 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 286*i**3 + 4*i**2 - 3*i + 2. Suppose 0 = 8*c + 7 - 23. Let g be k(c). What is g rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138 - 128.44. Round g to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-3)\/12 + (-1606)\/(-1168)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11866 * -0.5\nAnswer: -5933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8286367 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(3\/23)*u\/u**(-40) assuming u is positive.\nAnswer: u**(963\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-2))\/(2\/(-4)). Let p be 3\/18*3*(15 + -3). Let x(r) = -7*r - 11. Let y(o) = -o - 1. Let h(w) = p*y(w) - x(w). What is h(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 235.9, -2173, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**3 - 63*b**3 - 5*b**2 - 62*b**3 + 18*b**3.\nAnswer: -92*b**3 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 273211*y. Let q(j) = 41*j**2. Calculate q(v(s)).\nAnswer: 3060414271361*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/24 + (-12)\/16?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {m: 2, d: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 8*u**2 + 2. Let s be i(-8). Suppose 0 = -3*w + 2*o + 3, 3*w + s*o = o + 12. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, x: 5, j: 1, q: 2, c: 1, n: 3}. What is prob of sequence nqc?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*l**2 - 853372*l + 284456 = 0. Calculate l.\nAnswer: 1\/3, 71114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106\/4452*2*2.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24633*j**2 + 7*j - 5539412?\nAnswer: -49266*j + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 194079207 - 0?\nAnswer: 194079207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**0*p*p)*p)**(-3\/26)*(p\/(p\/p**(-2)))**26*(p\/((p\/(p\/p**(1\/2)))\/p*p*p))**0\/(p**(-1\/3)*p**(-1)) assuming p is positive.\nAnswer: p**(-152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**6\/120 + 11*g**5\/60 + 7*g**4\/12 - 3*g**3 + 188*g**2. Let x be v(12). Calculate the highest common factor of x and 402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 55. Is (320 - 2)\/(x\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.49 + -9.49. What is the nearest to -1 in -1, -0.7, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 373858607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99))**2*-1 - sqrt(176)*2) + 4 + (sqrt(11) + sqrt(11)*-1 + 1)**2.\nAnswer: -94 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 5 - (-16)\/(-4). Solve 9 = -x*p + 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3185, -3187, -3189, -3191, -3193?\n\"Answer: -2*j - 3183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 7*k + 7. Let z = 7 - 4. Let n = 4 + z. What is the units digit of o(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1237917, -1238071, -1238327, -1238685, -1239145, -1239707, -1240371?\n\"Answer: -51*r**2 - r - 1237865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 306552677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 59*k**2. Let g(w) = -5*w. Calculate q(g(o)).\nAnswer: 1475*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 11 (b) 1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.78 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3.6 * 3570\nAnswer: -12852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 + 1 = 0, 0 = -5*b + s - 16. Let m be -1*(b + (-40)\/(-18)). Is m <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x - 17*x. Let w(o) be the third derivative of 0*o - 2*o**2 + 1\/6*o**3 - 1\/24*o**4 + x. Calculate w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0 + 1 = 0. Let q be (-6)\/((-1)\/(p + 0)). What is the units digit of (-607)\/q + 3\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37709, -37856, -38003, -38150, -38297?\n\"Answer: -147*o - 37562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47884*n**2 - 143660*n + 24.\nAnswer: 4*(n - 3)*(11971*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 170, 198, 224, 248, 270, 290, 308?\n\"Answer: -a**2 + 31*a + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + 58*p**2 + 78*p + 33. What is the remainder when a(-26) is divided by 343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527294277 - -0.9?\nAnswer: -1527294276.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-6 - 1897\/(-315)) + 167\/(-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-98)*(-4)\/5\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*d**5 + 11*d**5 + 7*d**5 + (2*d**3 - 1 + 1)*(1 + 2*d**2 - 1).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-f + 2*f - 2*f) - 21*f + 10*f + 12*f + (-1 - 3 + 3)*(6 - 6 + 4*f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(-10 - -40*(-5)\/(-30))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2186 - 1620 = -331*o - 6123 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from {f: 6, j: 3, w: 1, k: 1, e: 1, b: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/9, 1\/5, -3, -99?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 158669371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 26. Let i be ((-172)\/(-6))\/((-3)\/c). What is the greatest common divisor of i and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(16\/4)*(-1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttt. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006765 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -1)\/(2 - 1). Let r = 11266 - 11271. Which is the closest to r? (a) g (b) -2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1722435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8086046 months in decades?\nAnswer: 0.015071705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 308 = 31*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 29*j - 14. Let f be q(-30). Calculate the highest common divisor of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.5 (b) 6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 9*t + 11. Give v(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, -11, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 324\/(-18) + 51 + -18\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j\/(j\/(j**(-31)*j))))\/(j*j**(-4\/7)))\/(j**(-4\/17)*j)**29)**(-30\/11) assuming j is positive.\nAnswer: j**(-2400\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 79, 355, 1095, 2527, 4879, 8379?\n\"Answer: 38*f**3 + 4*f**2 - 2*f + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -4 (b) 2\/7 (c) -0.046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -13*d - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 3*i**4 - 2*i**3 + 7 - i**2 + 7 - 4*i + 2 to s*i**4 + m*i + c*i**3 + x + g*i**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 126*t - 292. What is the units digit of n(72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igcpggovvopi. What is prob of sequence pc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from {k: 2, b: 1, m: 3, q: 1, f: 1, c: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -424.3 to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, s: 2, p: 4, d: 1, l: 3}. Give prob of picking 4 p.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4966\/11 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005998077 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/5)*q)\/((q**(-2\/29)\/q)\/q)*(q**9)**(-2\/39))**(-1\/4) assuming q is positive.\nAnswer: q**(-946\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(9)*1) - sqrt(13)) + (sqrt(832) + 0)**2 - ((sqrt(325) - (sqrt(325) + -1 - sqrt(325))) + -1)**2.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 6 = -0*o - o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -266, -1386, -3260, -5894, -9294, -13466?\n\"Answer: -h**3 - 371*h**2 + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -126000a (base 11) to base 12\nAnswer: -892553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**3 + 4*t**3 - 2*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 880746276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 454282 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -20. Let x(n) = n**2 + 7*n - 2. What is the tens digit of x(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = x - 21, 0*h = 3*x - 4*h - 63. Suppose 3*n - 30 + x = 0. Suppose -n*z + 5 = -55. Solve g + 3*g = -z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-456)\/(-342))\/(4\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 46*o**2 - 49*o + 47. Calculate the remainder when 4875 is divided by a(24).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyd when three letters picked without replacement from yyvvgdgb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 7*f - 4 - 7*f in the form w*f + n and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 834366547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 298 = -34. Solve 0 = v + k - 7, -k = -4*v - 3*k + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1242 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 15*k**2 + 15*k + 18. Let a be q(-14). Suppose 6*p = 20 + a. Suppose 3*x = p*v - 124, 0 = 2*x - 3*x - 4. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1153054 (base 6) to base 10.\nAnswer: -61594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 8*l**2 - 6*l - 2. Let p be g(7). Suppose 2*u = p*u - 9. Calculate the remainder when 5 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 301 = 21*s. Calculate the greatest common divisor of s and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + (-6 - 11 - -28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = m + 4*o, -4*o = 5*m - 89 + 19. Let w(z) = -z**2 + 13*z - 22. Let t be w(m). Solve -22 = t*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6*f - 25. Let x(k) = -5*k - 4. Let q(p) = -6*p - 5. Let s(r) = 4*q(r) - 5*x(r). Let l be s(3). Solve -2*o + 45 = l*o + f*a, 5*o = 4*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-7)\/28)\/(-23*8\/32)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-7*(-814)\/(-36778)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8852 (base 9) in base 15?\nAnswer: -1e02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence non when three letters picked without replacement from nnoooo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.10000428 - 15.1. What is w rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 482.4 - 452. Let t = -30.9 + r. What is the smallest value in t, -2\/17, -0.01?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1554\/11 and 140 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -4, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 14 = c + 18, -o + 4 = -c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r + 1 - r - 4. Let p be u(-2). Let k = -1663.2 - -1661. Which is the nearest to k? (a) p (b) 0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -182a1 + 0?\nAnswer: -182a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 - -2178680?\nAnswer: 2178703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 25 = 11*u - 8*u, -25 = 3*m - 2*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.1391573415402 from 0.2.\nAnswer: 5.3391573415402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/4 + (-1)\/2. Let h = -395 + 395. Suppose 0 = n - 0*m + 3*m - 3, h = -2*n + 4*m + 16. Solve n + 14 = -w*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3731 is divided by 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppugppgznapnpgupu. What is prob of picking 1 g, 2 u, and 1 n?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from vjejtvvvrjtvreevee.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwfrrfwwwwff. Give prob of picking 1 r and 1 w.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 7699*j. Let a(p) = 234577 - 234577 - 2*p. Give a(d(u)).\nAnswer: -4*u**2 - 15398*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2853 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2419 at most as big as 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -26853*a. Let n(h) = -4*h - 14. Give x(n(l)).\nAnswer: 107412*l + 375942","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 7*v - 8. Let l be m(3). List the prime factors of 3 + (5 + -3 + l)*-55.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2 + 907*z + 326. Determine w(-181).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 6. Let a be d(7). Let h be (0\/(-3) + 4)\/1. Let s be 167\/h + a\/4. Solve n = -y - 1, -3*y = -5*n - 15 + s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186 + -187 - (1 - 13).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2776 or 26529?\nAnswer: -2776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 15*s + 10. Let j be h(8). Let r = -2 - 0.1. Let v = r + 1.7. Which is the second biggest value? (a) -7 (b) v (c) j (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -40*k + 28*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -535.53 or -4847?\nAnswer: -535.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - -7. Let s(d) = -d - 3. Let n be s(-6). Suppose -4*r = -3*r - n*j - k, -j + 4 = 2*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 621 and 555363?\nAnswer: 12773349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 19 - (2 - 3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - -2 - (0 + 4). Suppose 7 = 2*v + y, -15 = -5*j - 5*v. Let q be j*(4 + -4 + 1). Solve 3*d = q, 0*r - 3*d = -5*r - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-189)\/54*16\/196)\/((-24)\/14).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108698096.\nAnswer: 2, 13, 61, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -21.62. Let r = d - -15.02. Let u = r - 14.582. Round u to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114220*81.\nAnswer: -9251820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -x - 5, 16*x - 19*x - 1 = 5*s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((84\/(-30))\/7)\/(46\/117990*27)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2702 = 5*f - 32*v + 29*v, -2690 = -5*f + 5*v. What is the highest common factor of 17 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 58 (c) 1 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 4:31 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15107 is divided by 76.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 298303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 + -118. Factor -27*h**2 - q*h**3 - 257 - 128*h - 13*h**2 + 129.\nAnswer: -4*(h + 2)*(h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7460*-0.4.\nAnswer: 2984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 25*r - 13*r - 3*r - 11*r. Let f(x) = -2*x. Calculate z(f(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 296680 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: Let o(y) = -y**3 - y**2 - y + 2. Let v be 4\/(0 - (-16)\/60). Suppose -5*g = -3*s - v, 4*s - 13 = 3*g - 22. Determine o(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 + 1901488073*f - 1901488067*f + 21*f**2.\nAnswer: 15*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 2*a**2 + 3*a - 2. Let p be k(2). List the prime factors of (2 + p\/16)*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(44)\/sqrt(4) + sqrt(11) + -1*sqrt(44)\/sqrt(4) - (sqrt(44)\/sqrt(4)*4*-6 + -1))**2.\nAnswer: 36*sqrt(11) + 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 196 = -9*p + 5*p, -221 = -5*n + p. Calculate the greatest common divisor of n and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*b - 0*b - 5, 5*p - b = 17. Suppose 2*j = 7 - p. Suppose z - j*z + 7 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l - 2 + 8 + 0 + 17 with respect to l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6214364183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 315 = 21*n + 20*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/4680834 and 91\/13548.\nAnswer: 9361668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000001 (base 2) to base 3.\nAnswer: -102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 + 7. Let u = k + -3. Which is the second biggest value? (a) 5 (b) 2\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l + 4. Does 16\/3 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*v = -25 - 25, -4*o - 2*v + 44 = 0. Let m = o + -16. What is the least common multiple of 18 and (m\/8 - 0)*-4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t**2 - 18*t**2 - 352 - 14*t**2 + 40*t**2 + 530*t - 4*t**2 = 0 for t.\nAnswer: 2\/3, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - -5. Let r = q + -11. What is the least common multiple of 14 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - 40*u + 166. Let o be g(-21). Solve -o = l - 128 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490307600 rounded to the nearest one million?\nAnswer: 490000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.977792 and -0.1?\nAnswer: 3.877792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 (base 4) in base 7?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2169 + 2169.1. Let n = 18.5 - 20. Let d = -7 + 6.9. What is the closest to d in n, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2904, 0.\nAnswer: -0.2, 0, 2904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/30)\/((1365\/14)\/(-65))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001248437 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2467, -4826, -7185?\n\"Answer: -2359*t - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12121222012 (base 3) to base 6\nAnswer: 2212522","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 491325909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 9:16 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f - 16. Let u(j) = -f + 3*j**2 + j**3 + 4*j**2 - 8*j - 2*j**2. List the prime factors of u(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1279030 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 111?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24192376 - 1.4\nAnswer: -24192377.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 13*o**2 + 19*o + 1. Is r(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67535 is divided by 16882?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 14 = 4*a - 2*a, 2*u + 2*a = 2. Suppose 3*j + 4*q + 0*q = 0, j = u*q. Let z be j\/(-9)*(0 + 1). Solve 3*r - 4*r - 3 = z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5 - 2*y**4 + 9 - 2*y**3 + 2*y as w*y**4 + p*y**2 + u + a*y**3 + b*y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ecwncwteg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 7:32 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -2163633101?\nAnswer: 2163633066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2. Let p(z) = -4*z**2 - z. Determine -2*i(t) - p(t).\nAnswer: 6*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5300869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**6\/75 - 283*r**5\/50 - 281*r**4\/10 - 841*r**3\/15 - 56*r**2 + 3748*r. Solve k(g) = 0.\nAnswer: -280, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 60.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/150*-10)\/(546\/(-420))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11641 smaller than 9710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 + 28*p**2 + 11 - 18 - p - 26*p**2 as c*p + i*p**2 + r and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -10*u + 357. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a**2*d**3*h + 31*a**2*d - a*d**3 + 10*a*d*h - 10*d**3*h wrt a.\nAnswer: -12*d**3*h + 62*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17797, -35617, -53437, -71257?\nAnswer: -89077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**2. Let s(x) be the third derivative of x**6\/720 + x**4\/6 - 10*x**2. Let i(o) be the second derivative of s(o). Determine f(i(a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 3*k**2 - 2*k + 3. Let n be ((-12)\/(-27))\/(8\/36). Give d(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35625179 - 35625003.68893. Let p = c - 175.3. What is p rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3\/2, -0.04, 0.007 in increasing order.\nAnswer: -3\/2, -0.04, 0.007, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 9:53 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -0.5, 1, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 25717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 517 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0652 - -0.064554. What is y rounded to five dps?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26691 and 73563?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*m - 11*m = -90*m - 0*m - 4830 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.626 - 0.374. What is the nearest to n in -3, 5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 - 88 = -98*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, -1, 1\/4, 5\/2 in increasing order.\nAnswer: -17, -1, 1\/4, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/18 and 75\/34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*i**4 + i**3 + 847208*i**2 - 29659551*i wrt i?\nAnswer: -96*i**2 + 6*i + 1694416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -16*a**2 + 83*a + 19. Let q(y) = 82*y**2 - 416*y - 94. Let k(d) = -11*j(d) - 2*q(d). Solve k(r) = 0 for r.\nAnswer: -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15084553?\nAnswer: 11, 29, 47287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*1 + -1*sqrt(32))\/(sqrt(64) - ((-2*sqrt(64) - sqrt(64)) + sqrt(64)) - sqrt(48)\/(sqrt(12)*1)).\nAnswer: 2*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23789 at most as big as 23797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/15 + 10386*p**3\/5 - 20762*p**2 + 155690*p\/3.\nAnswer: -2*p*(p - 15569)*(p - 5)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 14*w**2 - 9*w + 8. Let o(q) = -5*q + 5*q**2 + 137836 + 0*q**2 + 2*q - 137833. Give -3*c(h) + 8*o(h).\nAnswer: -2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -518727755*z**3 - 790336576.\nAnswer: -1556183265*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 16*f**2 + 19*f - 29. Let x be j(17). Solve 3*u = x*m - 12, 0 = -5*m - u - 7 + 23 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74523958 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 396219656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/29, 5\/3, 2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/30)\/((-2)\/652). Let l = b - 70. Does 26 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7 + 10*r + 0*r**2 + r**2 - 20. Let p be (5\/2)\/(2 + 39\/(-18)). Is i(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 0, -3, 33, -4730, 5 in increasing order.\nAnswer: -4730, -4, -3, 0, 5, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(7)*-1 - (sqrt(567) + sqrt(63)) - (-1 + -5 + 2*sqrt(343) + sqrt(343))) + -4 + 2.\nAnswer: -32*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8742 + 1?\nAnswer: -8741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**1*t)*t))**4\/((t**(-28\/9)*t)\/(t*t**(1\/2)*t*t)) assuming t is positive.\nAnswer: t**(173\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 0 + 21 + (-10 + -41 - -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-6) + (-138)\/(-12). Suppose 3*p - 59 = t. Let s = p + -21. Solve -2*g - g - 1 = j, -3 = 5*g + s*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 - 2*r**2 + 2*r - 1. Let x be z(1). Let k be (-26)\/(-4) + (-3)\/(-6). Let y = k + x. Solve -5*w - y = -2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8242322.8 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 52*q**3 - q**2 + 4*q - 5. Let n be w(1). Let p be 14 + (-1)\/(5*2\/n). Is 4 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (sqrt(1008) + 1))**2 + (sqrt(98)\/sqrt(2))\/sqrt(7).\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**4\/6 - 17*w**3\/6 - 8*w**2. Let n be h(-13). Suppose 4 = v - 2*z - n, -168 = -4*v + 2*z. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 1:55 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 131*s + 56. Let y = -120 + 122. What is the tens digit of i(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*r - 90930 = -1418*r for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = y - 32. Solve -l + v = y*l + 10, 4 = v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 54 - 3 = 9*n + 1, 5*n + 50 = 5*h for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-270)\/(-240))\/(351\/260). Let i(f) be the second derivative of -y*f**3 - 33*f + 5\/12*f**4 + 0 + 0*f**2. Solve i(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050041 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -939*m**2 - 123009*m + 3. Determine r(-131).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 9*q + 15. Suppose -19 = -3*a - 5*k, -q*k + 4*k + 7 = 3*a. Suppose -5*j + 172 + 33 = r, 4*r - a*j - 820 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 - -b336?\nAnswer: b2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 53.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*d**3 + 30*d - 30*d)*((-4 + 2 + 4)*(-2*d + 5*d - 5*d) + 10 + 7*d - 10)*(-3 + 4 - 2).\nAnswer: -69*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 30 - 80 - -46) + 0 + 2 + 104.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*(sqrt(832) - (-2*sqrt(832) - sqrt(832))) - sqrt(832) - sqrt(832) - (-4 + sqrt(832) + -3)))**2 + -2.\nAnswer: -4928*sqrt(13) + 402882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62484.\nAnswer: 2, 3, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 + -3.7. Let w = -3.1 - t. Suppose 10 + 7 = x + 2*l, -42 = 4*x - 2*l. Which is the nearest to w? (a) x (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36364 (base 9) in base 13?\nAnswer: b119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.403 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (108\/(-24))\/((-3)\/2). Solve -5*b + b + a = h, 0 = -5*b + 2*h + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2. Let h(b) = -29736420*b**2. Determine t(h(x)).\nAnswer: 1768509348832800*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from poo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-231 - 8*q**3 - 239 + 244)*(-q + 4 - 4).\nAnswer: 8*q**4 + 226*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 10 + k**2 - 64 + 555*k - 517*k - 16*k**5. Find the second derivative of m(s) wrt s.\nAnswer: -960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p - 15. Let s be z(6). Solve -g - c + 5 = -3*g, -5*g + s = 3*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996956.\nAnswer: 2, 41, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -0.01292465?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*l = -32*l - 13*l + 203 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-6)\/(-20))\/((-12)\/10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9635 and 888265.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157 - -157.3. Which is the nearest to 3? (a) 1\/2 (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**6\/360 + a**5\/15 + 5*a**4\/6 - 11*a**2. Let t(m) be the second derivative of u(m). Give t(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16141 is divided by 124?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 (base 9) in base 7?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, 20, 24, 30, 38, 48?\n\"Answer: y**2 - y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -32. Let j(o) = o**3 - 6*o**2 + 7*o + 8. Let q be j(t). Solve -3*n - q*f = 5, 0*n = -3*n + 5*f - 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3)\/h)\/h)\/(h**(-1\/9)\/h))\/(h**(1\/2)\/h**(-3)) assuming h is positive.\nAnswer: h**(-133\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 12:38 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + (1 - 4) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.011 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = w - 2*s - 20, 4*s = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) -3\/2 (c) -2\/7 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -119*f**4\/6 + 21*f**2 - 2*f - 212. Let g(o) = -28*o**2 + 5. Calculate -5*c(t) + 42*g(t).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 8:47 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**3 - c**2 + 2*c + 7. Let r be h(3). Let n = 197 - r. What is the least common multiple of 48 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 6 + x - 4 + (3 - 3 + 1)*(1 - 1 + x) + 6*x - 4*x + 2*x + (1 - 2 + 7)*(0 + 2*x + 0).\nAnswer: 18*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 454532, 908982, 1363350, 1817636, 2271840, 2725962?\n\"Answer: -41*n**2 + 454573*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -a + 4*m, m = -a + 2*a - 31. Suppose -32*h = -a*h + 6. Calculate the least common multiple of h and 73.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + g. Suppose -4*m - 2 = 2. Let c(p) = 26*p**3 - 29*p. Let r(y) = m*c(y) + 2*o(y). What is the second derivative of r(x) wrt x?\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -65*t**2 - 38*t + 110. Let b(z) = 32*z**2 + 19*z - 44. Give -5*b(q) - 2*l(q).\nAnswer: -30*q**2 - 19*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.1. Let f = h - -0.2. Let n = f + -0.1. Which is the closest to 0.1? (a) 0.5 (b) n (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1635*b**2*h*k + 32*b**2 - 7*b*h**3*k - 35*b*k + 5*b - k wrt h?\nAnswer: 1635*b**2*k - 21*b*h**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -49*j**3 - 2*j**2 - 5*j - 4. Let s be r(-1). Suppose 6*l - s = 186. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2) - 0 - (47 + -43). Suppose 0 = n - 4 + 2. Suppose -d + n = 4. Is t not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2112608\/45 + 46945. Calculate the common denominator of -22\/35 and x.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4162*a**2*r**2 + 380*a**2 + a*r - 4*a + 3*r**3 - r wrt r.\nAnswer: 8324*a**2 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10b + -3?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -11*c - 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 1400245917.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + (-166)\/(-4) - -2 and -85\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - y**2 - y + 1. Let c be (-21)\/(-6) - (-1)\/2. Let u(o) = -4*o**2 + 3 - c*o + 0*o**2 + 1 + o**3. Give u(w) - 4*x(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/(154\/(-2184)). Let m = -7811\/1100 - j. What is the common denominator of m and -37\/22?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**3\/2 + 477*v**2 + 314901*v\/2 - 50077926 = 0.\nAnswer: -324, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/((i**(-37)\/i)\/i)*i)\/i*i*i)\/i)**(-15\/2)\/(i*i**(-1\/12)*i**(-28)\/i*i) assuming i is positive.\nAnswer: i**(-3455\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.23 + -0.23. Let j be (-6)\/(-10) + 51\/17. Let x = j + -113\/30. What is the nearest to a in x, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 136\/14 - (-8)\/28. Let c = m + -5. Calculate the remainder when (-2)\/5 + 222\/c is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030861749 rounded to 4 dps?\nAnswer: 0.0309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeepjpeopplph. Give prob of sequence hj.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/18 + 4*w**3\/9 - w**2 - 4*w - 6. Let t(a) be the first derivative of s(a). Factor t(b).\nAnswer: -2*(b - 3)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -11 (b) -2 (c) 0 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2038, -4, 3, -1, 56 in decreasing order.\nAnswer: 56, 3, -1, -4, -2038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k**4 - 3*k**4 - 4*k**4 + (0*k**2 + k**2 + 0*k**2)*(0*k**2 - 2*k**2 + k**2) - 4*k**4 + 3*k**4 + 0*k**4 + (k - 2*k - k)*(2 + 4 - 2)*(0*k - 3*k**3 + 0*k).\nAnswer: 21*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5299085.26 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12960 and 900.\nAnswer: 64800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/1113 + -3692\/7791. What is the common denominator of q and 43\/7?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1746, 1744, 1742, 1740, 1738, 1736?\n\"Answer: -2*c + 1748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27513721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24213341155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 7) in base 8?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 26 = u - 5*y, -4*u - 4*y = -136. Let x(q) = -61*q + u*q + 32*q. Let j(i) = -i. Determine j(x(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011 <= 2006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2047752615?\nAnswer: 3, 5, 61, 401, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i - 1. Let b = -1.6 - 0.4. Put -1\/2, i, b in decreasing order.\nAnswer: i, -1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 429, -1, -0.11 in descending order.\nAnswer: 429, -0.11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 9 + 1)*(-7 + c + 7)*(0 - 1 + 0).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 4*b**2 + b + 14. Suppose 0*n - 4*n + 16 = -4*f, -5*n - 2*f = -34. Is 13 a factor of j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-8 - (14 - 8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8070, -16141, -24212, -32283, -40354, -48425?\n\"Answer: -8071*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (29193\/558)\/(2 - 1). Let x = -17\/93 - z. Let m = 50 + x. Is m > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 62337*o**2. Let z(y) = -7*y**2 - 53. Calculate z(l(n)).\nAnswer: -27201310983*n**4 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -592, -599, -608, -619?\n\"Answer: -a**2 - 4*a - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*g - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(4*(-5 + (-1*sqrt(25))\/sqrt(5) + sqrt(500)*2) + 2)**2.\nAnswer: -292040 + 27360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1120285484?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1662, -2012, -2586, -3378, -4382, -5592?\n\"Answer: s**3 - 118*s**2 - 3*s - 1542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3365 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 p be (-4)\/16 + 26\/8. Suppose -2*n - p*n = 3*i - 45, -60 = -4*i - 4*n. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 611837823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = n. Suppose -3*m = n*m + 45. Let q = m - -45. Calculate the remainder when q is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g - 126. Let n be v(35). Suppose 0 = 2*o + 4*q - 18, 5 = 3*o + 4*q - n. Is o greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e42 (base 16) in base 10?\nAnswer: -3650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 1, x: 1, r: 2}. What is prob of picking 1 u and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c - 6. Let k be i(5). Let y = k - 9. Suppose -24*a = -12*a - 19*a + 385. What is the highest common factor of y and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(1\/3)\/m))**(-48)*m**2*(m\/(m\/(m\/(m\/(m**(-7)*m)*m*m)*m))*m)\/m)\/((m*m*m**0*m)**42*(m\/m**(-1\/2)*m)**(-3)) assuming m is positive.\nAnswer: m**(-407\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 14*h - 1. Let c be n(14). Which is smaller: -2\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 - 48. Suppose -4*t + 79 = w. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.46 + -16.4622946. What is c rounded to 4 dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -297*f**5\/20 - 173*f**4\/12 - 12*f + 19. Find the third derivative of t(u) wrt u.\nAnswer: -1782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3935418871145.100007 - -3935416250660. Let y = h + 2620503.1. Let x = 18 - y. Round x to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 2*i**2 - i - 2. Let l be o(3). Let a(k) = -4*k - k**2 + 3*k**2 + l*k. Let j(t) = -3*t**2. Calculate j(a(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*h + 3)*(-19*h**2 - 8*h**2 + 6*h**2)*(-2*h**2 - 2*h + 2*h).\nAnswer: 126*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 1705.54 and -0.9.\nAnswer: 1704.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.33 and 257404003?\nAnswer: 257404003.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/72 and (-13)\/(-72) + 6 + (-140)\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2359, -4787, -7277, -9829?\nAnswer: -12443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 3*l + 9. Let k be w(-4). Suppose 0 = -h + 5*y - 13, 5*h - k = -5*y + 4*y. Solve -2 = h*t - 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 602\/1611 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 12 - 3 = 0. Solve -11 = 4*h + z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/4 + -5\/4. Which is the biggest value? (a) 2\/3 (b) -2 (c) x (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5241*u**2 + 2*u + 15. Let c be w(5). What is c rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - ((-92)\/28 - 8\/(-28)). Solve s = -z + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -0.8, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 92 (base 16) to base 14\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)\/q**(-6\/5))\/(q**0\/(q**(-3\/7)*q)) assuming q is positive.\nAnswer: q**(-218\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16906 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 110 + 4\/12 + 4\/6. Suppose 0 = -3*y - 66 + v. Suppose 3 = 18*d - y*d. Is 1\/87 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1169, -0.5, 4\/5, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/355 and -53\/710?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 - 74*m + 16. Give r(11).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -45696466 and -2205191.\nAnswer: -47901657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*a - 3 + 4 + 1)*(-9 + 2 + 0) + 2*a + 865 + 3*a - 868 as x*a + p and give x.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/42 + 0)*(-1750)\/3250\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 8 - (4 - (-12 - 3)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335775, 335811, 335871, 335955?\nAnswer: 336063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 332.829 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*y - 11*y - 12*y.\nAnswer: -109*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2810 greater than 11675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24323421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/7, -0.2, -2, -4\/9?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a gram in milligrams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91656 divided by -7638?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.034 (b) 0.2 (c) 1\/328 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1001 + 5?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 246037741, 246037743, 246037745?\n\"Answer: 2*l + 246037739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/(u\/u**(2\/5)))**(-27) assuming u is positive.\nAnswer: u**(-864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 1161.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 16*w**5 - 1224*w**4 + 11161*w**3 - 4749*w**2 - 4544*w - 660 = 0.\nAnswer: -1\/4, 1, 10, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.9*-19365\nAnswer: -56158.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(99) + 1))**2 + (sqrt(66)\/(sqrt(42)\/(sqrt(14)\/sqrt(2))))**2.\nAnswer: 216*sqrt(11) + 3611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1100000110100000?\nAnswer: 1100000110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1057*i - 1230*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5 or -2\/2701?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*s + 944 = -103*s. Does 14 divide (-3 - -1)\/(s\/72747)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.1 + -16.084. Let b = h + -0.0159809. What is b rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25451.85*-70\nAnswer: 1781629.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from kscmhuu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Suppose -6*v = -5*v - g. Let w(b) = 4 + 0 + b**3 - 3*b**2 + 5*b + 0*b**v - 2*b**3. Give w(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 42\/9)*3*3. Let c(i) = -2*i**2 - 7*i**3 + 2*i + 6*i**2 + 2*i**o + 4*i**3 - 4. Give c(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d. Let o(h) = 2055*h**2. Calculate q(o(y)).\nAnswer: -4110*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 2)*((3 + 0 - 2)*(5 - 1 - 3) + 2 - 2 + 5)*(0*c + 5*c + 0*c)*(1 - 2 - 2).\nAnswer: 360*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 1\/20*b**5 - 9*b - 1\/6*b**3 + 0 - b**2 + 1\/6*b**4. Let l be -5 - (-9 + 3)\/3. Determine m(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-8) - -4)\/(9\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 41312157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p + 15. What is the remainder when q(-8) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 675705 (base 8) to base 13.\nAnswer: 7cbb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (-2*1*sqrt(99)*2)\/(-5*sqrt(225)*-3).\nAnswer: -2 - 4*sqrt(11)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 - 231071*d**2 - 221 + 231071*d**2 to a*d**3 + g*d + j + b*d**2 and give j.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -520.1733 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -391 - -391. Solve -5*m + 4*m + 5 = v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 16174*o**2 - 11*o. Let g(y) = -5*y**2. Determine j(g(p)).\nAnswer: 404350*p**4 + 55*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*q + 9. Let i be 694\/(-1 - (-3 + q)). Let h = -321 - i. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 2\/5 (c) 5\/39 (d) 2 (e) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-seven fifths of a decade?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -46, -28, -10, 8, 26?\n\"Answer: 18*g - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.327 and -15870 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 7 - -1 - (1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:31 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 385 + -379. Suppose g*i - 43*i + 7030 = 0. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 6*y + 7*j - 31, 2*y - 11 = -j for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {g: 10, u: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.13 and -2091044.\nAnswer: -2091043.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, and 2 k when four letters picked without replacement from skbsbqsqqqkskbqqqkk?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -37*y - 210. Let x(k) = -7*k - 41. What is 4*w(i) - 22*x(i)?\nAnswer: 6*i + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 13*c - 10. Let k be z(12). Let b be 2 + 37\/(-10) + 0 + k. Which is bigger: b or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 166 (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (255\/(-34))\/((-39)\/198224)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63 - (-10672)\/(-174))\/((-10)\/(-126)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x = -2*s + 129, 120 = 5*x + 5*s. Let r = x + 131. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -339, 7592 in descending order.\nAnswer: 7592, -3, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9504 is divided by 4273?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 6935 + 2097 + 5230 + 4028 in the form d + j*q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -69\/59 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496860 = -2137*h - 4233*h for h.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -82\/1205?\nAnswer: -82\/1205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {p: 8, b: 2, x: 7, v: 1}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 1. Let s be a(-1). Suppose 3*z = -s*z - 48. Find the common denominator of (z\/24)\/((-4)\/81) and 125\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 8 = u, -2*u + 2 = 4*v - 5*v. Suppose 4*q - 2 + 6 = u. Which is the closest to 2\/7? (a) -0.5 (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -13. Suppose 2*h + 0*h - 8 = x. Which is smaller: h or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 114, 131, 144, 153, 158, 159?\n\"Answer: -2*q**2 + 23*q + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -11\/4, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -673310, -673299, -673288, -673277?\n\"Answer: 11*b - 673321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 907 and 1944393948?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 7, -23, -0.1, -1.28, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + (16\/192*-45)\/(3\/(-4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 441 + 31141?\nAnswer: 32132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4288262, -4288361, -4288458, -4288553?\n\"Answer: x**2 - 102*x - 4288161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117333644?\nAnswer: 2, 79, 151, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -218 + 451?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 926080495 to the power of 1\/3, to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-71 - -91)*(-9)\/(-12). Solve -a = 5*y - o - 2, 0 = a - y + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103511?\nAnswer: 103511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -4, 2 in ascending order.\nAnswer: -4, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Let t(v) = -v + 3. Let h be t(j). Suppose h*f + 84 = 4*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 23*t = -108. Let g = t + -35. Let k(q) = 6*q**2 + q - 1. What is the remainder when 11 is divided by k(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 662 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3\/8 - 45*z**2\/4 + 99*z\/2 - 51 = 0. What is z?\nAnswer: -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:40 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2975.6 times -1.08\nAnswer: -3213.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**2 + 3 - 7*o**2 - 2*o**2.\nAnswer: -3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, f: 5}. Give prob of picking 2 x.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/24 and -79\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j. Suppose -269*q + 18 = -278*q. Determine w(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 1.2. Let l = -2417 - -490653\/203. Let x = -806\/609 - l. What is the nearest to -0.1 in x, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21096 - 10630. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156557801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20202011021 + 220?\nAnswer: 20202012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + n + 2 = 0, -4*j - j - 16 = 2*n. Is j at most as big as -16\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 495*o**3 + 130*o**3 + 364*o**3 - 2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 6510170.6099?\nAnswer: 6510170.2099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - q**2 - 20. Let x be u(0). Let k be 8\/x - 34\/(-10). Let w(v) = v**3 + 6*v**2 + 6*v + 7. Let f be w(-5). Sort k, 0, f in increasing order.\nAnswer: 0, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*k + 2 = 0. Suppose k*p + 2 = 0, -3*o - o + 29 = -p. What is the remainder when 27 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -9*b**3 - 2*b**2 + 1. Determine d(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2\/(84\/(-3))*1729\/2470?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5157609*u**3 - 2977801*u wrt u.\nAnswer: -30945654*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 2, q: 6, i: 1, u: 3}. Give prob of sequence iqz.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + r + 3)*(0 - 2*r + 0) + 1 - 1 + 4*r**2 - 11 + 11 + 24*r**2)*(0 - 3 + 5)*((-9*r**2 + 14*r - 14*r)*(-3*r + 2*r + 0*r) + 2*r**3 - 5*r**3 + r**3).\nAnswer: 364*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/(-52) + 0 + ((-154)\/91)\/11\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h - 21. Let z(k) = k**3 + 6*k**2 - 11*k - 4. What is the remainder when z(h) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1037 + 1017. Let y be (-8)\/15*(4 + 95\/n). Let v = 12 - 8. Which is the biggest value? (a) -0.2 (b) -3 (c) v (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 15\/6*(-8)\/10. Let t = 130 - 126. Suppose 5\/8*b**y - 1\/8*b**t + 0 + 1\/2*b - b**2 = 0. Calculate b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 5. Let i be u(-5). Suppose 3*y + 3 = -5*s + 2*s, -4*s + y - 9 = 0. Let d be 2\/(s + 0)*-1. Put d, 2, i in ascending order.\nAnswer: d, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -244473 (b) -6 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 10) to base 16\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from btst.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - ((-5880)\/(-63))\/(-40)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*t + 2*i, 4*t = 2*i + 4 - 0. Let y(r) = 2*r**t + r**2 + r**2 - 6*r**2. Let a(v) = 7*v. Calculate a(y(z)).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**(-6)))**(-2\/91)\/(u**(-11)\/(u*u*u**(2\/5))) assuming u is positive.\nAnswer: u**(861\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:16 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3272, -3274, -3278, -3284?\nAnswer: -3292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*d - x, 7*d + 4*x + 24 = 8*d. Suppose -229 = -d*k - 93. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 4*i = 0. Suppose i = -0*w - w + 2*c + 15, 3*w = -3*c + 18. Solve z + 2*h = w + 2, -4*z = h - 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/40 + 10\/(-50). Factor 0*h + 0*h**3 - o*h**2 + 0 + 1\/4*h**4.\nAnswer: h**2*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*r - 6 = 0, -2*r - 12 = -4*y - 0*r. Solve -j = -0*j + y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (16 + -30)) + 0 + -2 - -20?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/((-5)\/35*-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**2 - 348*g + 2232 = 0?\nAnswer: -93, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u. Solve 3*v = j + 7, j - 2 = -u*j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 2131332402?\nAnswer: -2131332403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 60183 divided by 363\nAnswer: 20061\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15416657 + 14*k + 15416657.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -21619*q**2 - 21653*q. Give g(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 16*w**2 + 18*w + 2. Let z be m(9). Solve 4*g - 16 = -4*q, -z*g + 11 = 14*q - 9*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*a - 1359 = -3429 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 4 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s + 4*s + 0*s + (5 + 0 - 3)*(-s + 2*s - 2*s) - 2*s - 2 + 2 - 1 - s + 1 + 2*s - 5*s + 0*s + 4*s - s - s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q + 2714 = 3104 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 1:31 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -16*c + 32. Is 8 a factor of x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.5. Let g = 9.2 - 0.2. Let r = g - 3. Which is the biggest value? (a) 2 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1432012 is divided by 398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 c, and 2 x when four letters picked without replacement from {e: 2, v: 2, c: 1, g: 5, x: 2, a: 5}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, c: 3, k: 5}. What is prob of picking 3 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -970 divided by -194.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5818, 5890, 5972, 6070, 6190, 6338, 6520?\nAnswer: 6742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -220120?\nAnswer: -220130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.57 - 0.43. Let s = -122 - w. Let a = -89 - s. Sort 3, -4, a in descending order.\nAnswer: a, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 91*s - 144 = 0. Let b(w) = -w**3 - 2*w**2 + 3*w + 2. Let l(g) = -3*g**3 - 9*g**2 + 13*g + 9. Let f(t) = 9*b(t) - 2*l(t). Give f(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17044, -16170, -15296, -14422, -13548, -12674?\n\"Answer: 874*n - 17918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243012099 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2310 is divided by 741?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.37 (b) 0 (c) -1\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4)\/((-2)\/(-4)). Let o be (1\/(-3))\/(k\/18). Let f be 8\/(-2) - (0 - o). Sort 5, f, 2\/17.\nAnswer: f, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(832) - -4*sqrt(832)) + -2 + sqrt(832) + sqrt(832) + -1 + -5)*2)**2.\nAnswer: -3584*sqrt(13) + 163328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18681251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -52. What is the tens digit of (-4)\/f*(-7137)\/(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 2*v**2 + 3. Let l be f(2). Solve 4*r = -l*n + 19, 6 = -5*r + 3*n - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26*38.382.\nAnswer: -9.97932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-6)\/(-12))\/((-4)\/(-376)) and 9?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**(-1\/5)))**(2\/27)\/((y\/((y*y\/y**(9\/5))\/y*y))\/y**(-11)) assuming y is positive.\nAnswer: y**(-1601\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Let w be -3*(4 - 13)\/27. Sort -3, 0, w, b in increasing order.\nAnswer: -3, 0, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10761 (base 8) in base 11?\nAnswer: -34a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 826*h.\nAnswer: 2*h*(h + 413)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1976331390 to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q**2 - 3*q**2 - 3*q**2)*(321*q - 1569 - 1572 + 3141) as o*q**3 + k*q**2 + j*q + r and give o.\nAnswer: -3210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -732*o + 575*o + 1821*o - 240*o + 2078*o in the form k*o + s and give k.\nAnswer: 3502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h - 48. Let c = -8 + h. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (sqrt(121) + sqrt(121) + 3*sqrt(121)*-5)\/sqrt(11) + 1).\nAnswer: -65*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121344 (base 7) in base 12?\nAnswer: 10983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 5100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 421 + -389. Calculate the highest common factor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4570283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17*f + 805. Let g(b) = -b - 109. Let k(h) = -5*g(h) - s(h). Calculate k(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (10 - -2) - (-621 - -629)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**1*o**(-1\/12)*o*(o\/(o*o\/(o\/(o**(-1\/4)\/o))))**(-3\/7) assuming o is positive.\nAnswer: o**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4987 = -21*l - 1060. What is the greatest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 + -1a7766?\nAnswer: -1a7806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-3)\/9))\/(165\/44)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 71, 3, 1 in increasing order.\nAnswer: -53, 1, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23104 is divided by 75.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.4 - -7.1. Let u = p + 5. Suppose 25 = -5*s + 3*b, 4*s - 4*b + 25 = -s. Sort 1, u, s.\nAnswer: s, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1559073 - 3365530. Let x = -1806457.23000088 - z. Let r = -0.23 - x. Round r to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 1*51\/21. Let i = -182 + 100. Let x = i + 85. Are h and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378.372ml to litres.\nAnswer: 0.378372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eyui when four letters picked without replacement from {y: 2, u: 1, i: 2, e: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z + 4. Let v be (32\/(-56))\/(1\/(-7)). Let c(x) = x - 1. What is v*c(g) + u(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11350 + 11431.37. Let z = f - 154.83. Let l = z + 74. What is l rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*p**2*x**3 - p**2*x + 56*p**2*y + 5*p*x + 4*x**3*y wrt y.\nAnswer: 56*p**2 + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-15)*6\/2. Suppose 5*u = 29 - y. Solve -2*o - 7 = 5*a - 2*a, -3*a = 4*o + u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, z: 2, k: 4, g: 3, l: 2}. Give prob of sequence zg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 100\/6*72\/15. Suppose 0 = -w - 5*m - 38, f = -w - 4*w - 3*m. Let q be (w\/26)\/(2\/4). Which is smaller: 1\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*h**3 - 2 + (0*h - h - h)*(0 + 0 + h**2) + 0*h**3 + 4*h**3 - 6*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**2 + 4*v - 9. Let a(t) = t**2 + 3. Give 2*a(r) + f(r).\nAnswer: -3*r**2 + 4*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 2. Let q be j(-1). Suppose 36 = -5*b - 4*d, -2*b + d + 2 - 6 = q. Which is bigger: b or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 o, and 1 b when three letters picked without replacement from {v: 1, o: 2, b: 1, d: 1, l: 2, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-4)\/(-4) - -3 - -3. Let v(n) be the first derivative of 0*n**o + 2\/7*n**3 - 1\/7*n**4 - 2\/7*n - 3. Determine b, given that v(b) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-24) + (-85)\/30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 182?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202 - -12?\nAnswer: 10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7732 and -4281012.24.\nAnswer: -4288744.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -39 (b) -0.5 (c) -1\/4 (d) -1.7 (e) 3 (f) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 287420 and 420.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 7058167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, -3, -4, 80, 2, 0, -2 in ascending order.\nAnswer: -104, -4, -3, -2, 0, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.96 * -1.7\nAnswer: 1.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -110?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*r + 8, -4*r + 5*u + 22 = -2*r. Let f be ((-2)\/(-21))\/(132\/231). What is the nearest to r in -0.5, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 1. Suppose 50 = 4*b + 5*l, 2*b + l - 250 = -234. Suppose 6*p = 3*p - 15. Sort -1, p, b, k.\nAnswer: p, k, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -13*v**3 + 5*v**2 + 8*v - 5. Let p(h) = -72*h**3 + 28*h**2 + 44*h - 28. Give -28*j(b) + 5*p(b).\nAnswer: 4*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 110313543 (base 6) in base 2?\nAnswer: 111100100101000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -1527?\nAnswer: -1529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**2\/g))**(-33)\/(g\/g**25*g*g**(-1\/39)) assuming g is positive.\nAnswer: g**(898\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826.8494ug to kilograms.\nAnswer: 0.0000008268494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -216 - 73*d + 110 + 107 - 90*d. Let n(l) = -2*l**2. What is n(o(r))?\nAnswer: -53138*r**2 + 652*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -50468167853.8.\nAnswer: -50468167864.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g**2 + 52*g + 170. What is o(-2)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2691 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -11*g + 22. Let y be 0 - ((-3)\/(-9) - (-12)\/(-9)). Let a(s) = -9*s - 11. Let o(u) = 2*u + 2. Let f(x) = a(x) + 5*o(x). Determine y*k(n) + 22*f(n).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f + 10. Let d = 40 + -37. Let p be l(d). Let j(a) be the first derivative of -a**2\/2 - 2*a + 2. Determine j(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 248 * 0.472\nAnswer: 117.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -553058?\nAnswer: 553051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 15133*l + 211742. Determine h(-14).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (11 + -5 - (2 + 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.41, 2, 4\/5?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 5*q - 35, -5 + 28 = -5*p - q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i + 4*p - p, i = p + 5. Let v be 1 - 2 - (-4 + i + -9). Solve -4*d = -v*o + 4, -3*o + 9 + 19 = 4*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 7:39 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(0 + sqrt(7)) - sqrt(7))**2 + sqrt(28)*-5 + -3*sqrt(343) + -5)*5.\nAnswer: -155*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - j = -5 + 4, 2*j + 2 = 4*m. Let x be m - (-3 + 4 + -3). List the prime factors of 1 - (x - 3)*-41.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -68, 4 in increasing order.\nAnswer: -68, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from mhzz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 + y**3 - 3*y**3)*(-2 - 4*y**2 - 4*y**2 - 89*y**2).\nAnswer: -97*y**5 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -99. Suppose 13*t + 9 = 10*t. Let o be 124\/(-62)*(t - (1 - 0)). Calculate the greatest common divisor of o and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05288 greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60522697?\nAnswer: 103, 587599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -777693 + 777693 + 17*d.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 4 = -o - 5*f, 2*f = 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4\/5 - 722721*z**3\/5 - 43526052891*z**2\/5 + 26116643553*z - 17411288430 = 0.\nAnswer: -120455, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dszzzzsczdizidzddezc. What is prob of sequence zcc?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4064784 divided by 66?\nAnswer: 677464\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -12 + ((-91)\/(-13))\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 412250 and 4675.\nAnswer: 4534750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 5*r - 81 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 266.9 - 61.9. Let v = d - 204.7. What is the smallest value in v, -0.3, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2768*m - 8443*m + 1357*m.\nAnswer: -9854*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2518 or -87?\nAnswer: 2518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -1\/2*k**2 + 0*k + 9. Let d(x) = -10*x. Determine u(d(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.234 and -0.3?\nAnswer: 0.0702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 7\/15 (c) 125\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/3 of a day in minutes?\nAnswer: 32160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 428 + 207. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 20*q**2 - 1367*q - 25817. Determine m(-19).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-33)*3669\/(-2446)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*x**2 + 4*x - 57\/4.\nAnswer: (x - 3)*(x + 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 52*b**3 - 25*b**2 + b - 3. Let h(z) = 207*z**3 - 101*z**2 + 5*z - 11. Let q(m) = 6*h(m) - 22*k(m). Factor q(n).\nAnswer: 2*n*(7*n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 24 + 28 = -4*j, 3*x + 2*j = 18. Determine y, given that 10*y**4 - 2*y**2 - 2*y**5 + 0*y**5 + 14*y + 2*y - x - 14*y**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1911184748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 8*x**2 + 8*x - 3. Let t be j(7). Suppose -4*w + 0*w - 12 = -4*b, -b - t*w = 7. Let l be ((-8)\/(-24))\/(-3 - (-8)\/3). Sort -3, l, b.\nAnswer: -3, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -29, -7\/12?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 212020 (base 3) in base 13?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 12*l + 121. What is d(-21)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 7. Suppose 3*g - 4 = 2. Let 6 - b + 3*i - i - g*i**2 - i - i**3 = 0. What is i?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2042444\/63 + 32419. Let n = d - -8\/9. Which is the third biggest value? (a) -1 (b) -3\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7 = 3. Let i = -5 + 9. Suppose -2*t + 2*n + 1 + 1 = 0, 5*n = t - 9. Put x, i, t in increasing order.\nAnswer: x, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f + 6. Solve 2*q - 18 = -0*q - 4*x, -18 = -f*q - 3*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1573)*2)**2.\nAnswer: 176*sqrt(13) + 6308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 722543176991 + -25?\nAnswer: 722543176966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-2 - 3\/(-12)). Let f = -2742.6 - -2743. Let o = 0.04 - 3.04. What is the nearest to k in 1\/3, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340688 and 7164?\nAnswer: 3066192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 52 = 20*n + 5*u, -62 = -2*n - 3*u. Solve 0 = n*a - 115 - 17 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000111001101110 + 1000?\nAnswer: 1100000111001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3477.2 - 3477.4. Let f = -0.13 - -0.11. Sort f, y, -20 in descending order.\nAnswer: f, y, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 792 and 919368.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 29146 = 3*w - 41667, 5*w + 3*x = 117983. Let b be (1 + w)*(-6 - -1). What is b rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 41 = 3*z + z, -3*y = 2*z - 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1224513 - 1?\nAnswer: -1224514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) + (-88)\/(-132). What is the nearest to -0.1 in -0.1, j, 20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4 (c) -5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -274 - -273.9. Which is the nearest to -0.02? (a) -0.5 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0071 times -1061?\nAnswer: 1068.5331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkaakkakkiiak. What is prob of picking 2 k?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 392824 + 10*q**2 - 194886 - 11*q - 195739 with respect to q.\nAnswer: 20*q - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169228 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10)*(-14 + 22 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 2*a = -5*l - 5*a + 7, 17 = 5*l + 3*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/115 and (8 + 2)*(47899\/4275 + -11).\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 25*z - 6 - 2*z**2 - 59*z + 31*z + 3*z**2. Determine o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19175, 19180, 19187, 19196, 19207, 19220?\nAnswer: 19235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/14 and 17\/76?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -652944*d**3 + 1314253 wrt d.\nAnswer: -1958832*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 3*z - z + 4. Give r(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57079911 - -0.079.\nAnswer: -57079910.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -593*g - 191*g - 296 + 1080 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + j + 1. Let m(a) = -a**2 - 8*a - 14. Let t be m(-6). What is the lowest common multiple of l(t) and (-1 - -2) + -1 - -8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -104*o**2 + 1863*o + 173. Give c(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3870662 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 115\/6, 4\/5, 4, 0.06?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 338339855 to the power of 1\/2, to the nearest integer?\nAnswer: 18394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -295127*u**4 + 2*u**3 + 5289805*u**2 wrt u?\nAnswer: -7083048*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6) + ((-10)\/15 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41543423.\nAnswer: 577, 71999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -5*y + 135, 0 = -3*m + 11997 - 11997 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(0 + ((sqrt(1377)*-2*-2 - sqrt(1377))**2 - (-1 + (sqrt(1377) - 2*sqrt(1377))) - -2*((sqrt(1377) - -2*sqrt(1377))**2 + 3))).\nAnswer: -446232 - 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)\/(sqrt(10) + sqrt(10) + 2*sqrt(10)) + sqrt(50))\/(6*sqrt(10)*-2) - 4*sqrt(30)\/sqrt(54)*-4.\nAnswer: 251*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10352 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 109828514 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.43385749.\nAnswer: -0.86771498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 10304*v - 10300*v. Solve -3*c + v = -8*c + 5*k, -4*k = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-2 - (1 - 1)). Let b(p) = p**3 - 5*p - 1. Let j be b(q). Put j, 12, 0 in descending order.\nAnswer: 12, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 + -71. Let q = -42.2 + b. Let d = 7.2 - q. What is d rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**43\/n)\/(n*n**(12\/7)*n*n)*(n**(-1\/5)\/n)**(-1\/4))**(-1\/33) assuming n is positive.\nAnswer: n**(-877\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2772 + 2774. Let z(y) = -11*y**2 + 3. Let g(q) = 22*q**2 - 7. Give o*g(n) + 5*z(n).\nAnswer: -11*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178440103 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 659999*s - 5. Suppose -29 = 5*o - 4. Let u be k(o). What is u rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1412 - 1316. What is the greatest common factor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3704836 is divided by 4824.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 30*d**2 + 4 + 1 - 22*d - 56*d**2 + 25*d**2. What is the tens digit of h(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = t + 20, 2*t = -l + 4*t - 10. Let y = 11 + l. Suppose -4*o + 15 = 5*d + o, 0 = -2*d - 4*o + 10. What is the greatest common factor of d and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uuutut?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c*k**2 + 4*c*k + 20*c + 4*k**4 wrt k?\nAnswer: -4*c*k + 4*c + 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 230\/123 or 2?\nAnswer: 230\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5252 (base 8) to base 7\nAnswer: -10650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22c - 0?\nAnswer: 22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 36 - 246 = 0. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*u**3 + 6\/7*u + 9\/7*u**2 - 3\/7*u**4.\nAnswer: -3*u*(u - 2)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) -399\/5 (b) -0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from vixxixxifiziiiiivvi.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 23*t**2. Let f(m) be the third derivative of m**8\/20160 - m**5\/5 - 10*m**2. Let o(a) be the third derivative of f(a). Determine o(c(d)).\nAnswer: 529*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 19. Suppose -2*w = -3*w + 5*a + s, -w = 4*a - 22. What is the highest common factor of w and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 59*v - 897. Calculate the remainder when 133 is divided by r(16).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 8788.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + h = 11, 91*i + 4*h = 93*i. Factor 2\/5*v**5 + 6\/5*v**2 + 2\/5*v**4 + 0 + 0*v - i*v**3.\nAnswer: 2*v**2*(v - 1)**2*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4706972580?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p**3 + 17*p**2 - 20*p + 11. Suppose -6 = -c + 2*a - 2, 16 = 2*c + 4*a. Let h(g) = -2*g**3 + 6*g**2 - 7*g + 4. Give c*n(t) - 17*h(t).\nAnswer: -2*t**3 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 177*q**2 + 103*q - 658. Does 31 divide v(89)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*w - 15, 3*w - t - 15 = -3*t. Solve -11*q**3 + 10*q - 7 + 6*q**3 + 6 - 9 + w*q = 0 for q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from djdv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 - (-1 - (1 + -3)). Suppose 8*u + 76 - 60 = 0. Let j = n - u. What is the highest common divisor of 24 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 785 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (90\/15)\/(2\/4 + 1). Let j(u) = 14*u**2 - 10*u + 16. Is 20 a factor of j(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.4 (b) 1 (c) -782\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20877058 is divided by 53394.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25196 plus -2617.72?\nAnswer: -27813.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5098 + 216 = 2*z, 0 = -3*n - 4*z + 2950. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*(p*p**(-6))\/p)*p)\/(p*p**(-15)\/p))\/(p**(5\/6))**(-23) assuming p is positive.\nAnswer: p**(253\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 8*y**2 - 10*y - 8. Calculate z(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -86. Let t = 63 + b. Solve 0 = -4*z - z + t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3635 is divided by 165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -8. Solve 3*j - 4*j = h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20780, 20775, 20766, 20753, 20736, 20715?\n\"Answer: -2*f**2 + f + 20781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1145537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 (base 8) in base 10?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 23. Let t = -11 - j. Calculate the remainder when 6 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*m + h + 22, -367*h - 365*h + 56 = 4*m - 728*h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 13*f - 2. Let l be (1 - -2)*(0 + 14\/(-6)). Let d be o(l). Calculate the greatest common factor of 25 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((384\/(-36))\/16)\/((-2)\/(-30))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00905492685 rounded to five dps?\nAnswer: 0.00905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*v - 9 + 1, -s + 5*v = -7. Suppose 4*y - s*y - 4 = 0. Calculate the highest common divisor of 11 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/33 in 192, 1, 1.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 883*l**2 - 4*l + 2. Let f(x) = -6*x**3 + 1766*x**2 + 10*x - 5. Determine -2*f(j) - 5*h(j).\nAnswer: 2*j**3 + 883*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-694)\/(-6)*(-6)\/(-2). Suppose 25 = -2*k + r + 258, -h = -3*k - r. Let v(y) = k*y + 108*y - 220*y. Let o(n) = 5*n**2. Calculate v(o(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 3*o**2 - 4*o + 5. Let b be g(-4). Let x = 2 - 2. Suppose w + 2*y - 2 = x, 5*w + 3*y + 0*y - 10 = 0. Solve -31 = 4*q + 3*d, d - b = w*d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**3\/3 + 4*p**2 + 9*p + 6. Suppose 2*l = -3*i - 32, -15 = 3*i + l + 10. Give r(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(2\/7)\/p)\/(p**21\/p) assuming p is positive.\nAnswer: p**(-131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35245202 - 3?\nAnswer: 35245166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*m + 3192, -3*m + 860 = -2*k - 3903. List the prime factors of m.\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183 + -156. Suppose 11*n - 17 = k. Solve 4*m - 4*b = 3*m + 9, -n*m = 4*b + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6919, 13977, 21141, 28411?\n\"Answer: 53*g**2 + 6899*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1101 - 9*d + 1101. Let f(t) = t**2. Determine y(f(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -0.2, -38\/3 in decreasing order.\nAnswer: 1.6, -0.2, -38\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 0.4 (b) 2\/7 (c) -1\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235444339 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -71*s - 603. Calculate a(0).\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1825 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/3)\/(8\/(-12)). Let n = -1 - -3. Put w, 4, n in descending order.\nAnswer: 4, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -9 - 41 - (-5 - (2 + -15))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 - 10*x - 141\/5.\nAnswer: -(x + 3)*(x + 47)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*z + 10 = 0, 0*o + 2*o + 5*z = 17. Let v(j) = 13*j**3 - 2*j**2 + j. Let w be v(o). Calculate the remainder when 17 is divided by 15\/w*(1 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -401097, -802238, -1203389, -1604556, -2005745, -2406962, -2808213?\n\"Answer: -s**3 + s**2 - 401137*s + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 13) to base 7\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4 + 1840*n**3 - n**2 - 44220.\nAnswer: 8*n**3 + 5520*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -24a4?\nAnswer: 24a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 4*b = 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 653.884 equal to -0.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c**3 + 7*c**2 + 3*c - 11. Give z(-3).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3972?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x - 68 = 0. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**3 - 4*v**2 - 14*v + 3. Let h be f(-5). Let o = 719 - h. List the prime factors of o.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1910*g - 9503. Give p(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41774*d**2 + 23522*d**2 + 18255*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1112 - -12332020?\nAnswer: 12333132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238980.\nAnswer: 2, 5, 61949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-20) - ((-4)\/18 - 34969\/(-5202))?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 2*u**3 + u**2)*(2 - 2 + 2) + 46 - 8*u**3 + 20*u**3 - 45.\nAnswer: 16*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 2 + 2*i)*(-347*i + 38*i - 292*i)*(-3*i + 3 - 3).\nAnswer: 1803*i**3 + 3606*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 707*a - 3. Let h(o) = -1420*o + 5. Calculate -4*h(z) - 7*t(z).\nAnswer: 731*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 0)\/(13\/(-39)). Let y be 220\/35 - 4\/14. What is the closest to -1\/3 in 0.1, z, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 20. Let v be m(10). Let o(f) be the third derivative of -1\/15*f**5 + 2\/3*f**3 + 0*f - 1\/6*f**4 + v + 1\/30*f**6 + 6*f**2. Solve o(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y. Let h = -24 - -86. Let l = -59 + h. Let c(v) = -v**2 + 0*v**2 + 5*v**2 - l*v**2. What is c(k(f))?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 4}. Give prob of picking 2 j and 1 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -26. Let q(i) = i + 16. Let m be q(b). Let f be m + (-2 - -8)\/(-2). Calculate the highest common divisor of 8 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -696 - -1387. Let x = 230 - i. Let m = -427.3 - x. Round m to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 + 2 = 0. What is the nearest to r in -0.1, 2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -a + 2*z + 21, 0 = -5*a + 2*z + 92. Suppose a = 4*t + 5*k, -t + 0 - 2 = -2*k. Suppose 3*o = -5*p + 40, 0*p - t = -p. Solve 4*h + o - 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 + 6*w**2 + 12*w + 5*w**2 - 8*w**2 - 12*w.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**3\/3 + 8*b**2\/3 - 12*b - 24 = 0. What is b?\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (47 + -1)*(9 - 1)\/8. Solve 41 = 5*c + y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0316433672 to three dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 4*a - 11. Let v be j(6). Is v < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 42, -0.3, -1\/5, 178, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 1982, 6483, 15174, 29447?\nAnswer: 50694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1010 divided by -10.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/((-15)\/(-9)*(-8)\/20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((285\/3420)\/(1\/(-8)))\/(62*(-1)\/3)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -15*j + 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/24)\/((-2)\/80). Let r be ((-3)\/14)\/(15\/d). Factor -4\/7*v + 0 - r*v**2.\nAnswer: -2*v*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 less than 0.05?\nAnswer: -325.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, d: 1, y: 6, s: 1, w: 2, z: 1}. What is prob of picking 1 p and 1 w?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 680.1562 centuries?\nAnswer: 68015.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 74.66329 milligrams?\nAnswer: 0.00007466329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 - 3*g - 11. Let c be t(3). Suppose 57 = 5*n + 5*o + c, 40 = 4*n - 4*o. Which is smaller: n or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 12*t - 15. Let u be l(-9). Solve 5*g = -u - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**2 - 2*u. Let g be s(4). Let h be (2352\/105)\/(64\/720). Calculate the highest common factor of h and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2100)\/357 + (-1 - -7).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-10)*4460\/(-1784)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 86*l + 568. Give t(6).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 5*c + 8, -1316*c + 1312*c - 1 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 2 - (9 - 18 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -388*h**5 + 740*h**4 - 316*h**3 - 36*h**2.\nAnswer: -4*h**2*(h - 1)**2*(97*h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + (sqrt(720) + sqrt(720) + sqrt(720)*1 + sqrt(20) - sqrt(20)))\/(3*sqrt(90) - sqrt(90)).\nAnswer: 19*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 - (-48 + -19 - -100).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5995 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: Suppose -2*d + 30 = -4*z, -4*d + 2*z + 45 = -3*z. What is the closest to 0.1 in d, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 11 (c) -2\/281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6681\/4 + -1669. Solve y*j**4 - 15\/4*j**2 + 5\/4*j**3 - 25\/4*j - 5\/2 = 0 for j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(649792\/994)*(-48)\/14.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106407335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 23*w**2 - w - 1. Suppose -4*b = 3 + 9. Is i(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19855 and 11191?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6426743 nanograms in kilograms?\nAnswer: 0.0000000000006426743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5277\/20 - 1318\/5. Factor -f*x**2 + 1 + 0*x.\nAnswer: -(x - 2)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*j - 4 = 0, 0*k = 5*k - 4*j - 4. Let a(o) be the second derivative of o**5\/20 + o**4\/12 - 9*o**2\/2 + 60*o + 2. Determine a(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -3. Suppose 30 = 3*t - 150. Suppose -3*k + 6 = 3*y, -3*y + t = 2*y - 5*k. Calculate the smallest common multiple of m and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**4\/12 - 2*g. Let o(h) = h. Let l(c) = -2*c. Let k(r) = 2*l(r) + 5*o(r). Determine k(j(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645191145?\nAnswer: 3, 5, 1489, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.89 + -15.45. Let w = 33.4 + y. What is w rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*o, -2*y + 18 = 3*o. Suppose -5*n = -2*z + 174, y*z + 3*n - 307 = -n. Calculate the remainder when z is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897*j - 3*w + 2 = 896*j, w = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08316 times 0.1?\nAnswer: 0.008316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + -6 + 3 - 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 j when four letters picked without replacement from {j: 2, p: 2, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35020*t**3*w**2 + 200*t**2*w**3 + 139631*t + 3*w**3 wrt t?\nAnswer: 210120*t*w**2 + 400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464*o - 569*o + 1152*o + o**2 - 280*o.\nAnswer: o**2 - 161*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -5. Let i(s) = 21*s**2 + 2*s - 1. Does 22 divide i(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -4 (b) -3 (c) -12 (d) 663.3 (e) 0.5 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -29*x + 63. Suppose 770 = x*y - 2*h, 3*y - 1017 = 5*h + 140. Calculate the highest common factor of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 + 5.06. Let g = 2455 - 2448. Sort u, 5\/4, 2, g in increasing order.\nAnswer: 5\/4, 2, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*o = 5*m - 80*o, 5*m - o = -12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*u = 0, 0*u = -2*u - u. Let w(n) be the second derivative of -1\/3*n**4 + 0*n**3 + q + 11*n + 0*n**2 - 1\/5*n**5. Let w(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 259, 260, 261, 262, 263?\n\"Answer: h + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5259*o - 16 = 5251*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4663*m + 442*m + 102*m.\nAnswer: -4119*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1943, -4907, -7871, -10835?\n\"Answer: -2964*p + 1021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z = 217. Let r = -3687\/17 - z. Suppose -4*g + 4 = -4*u, 2*u - 5*g = -g - 6. Is r greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*-4*((-1 + 0 + sqrt(272))**2 - sqrt(272) - ((sqrt(272) + 1*sqrt(272) - sqrt(272))*1)**2) + -2.\nAnswer: -12 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - z - 17, -z = 4*y + 32 + 3 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-254)\/(-150) - 10\/(-125). Which is the closest to -230? (a) p (b) 2 (c) 3 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i + 9. Let k be b(5). Suppose f = 1, 3*f + 21 + 24 = 4*h. What is the least common multiple of h and ((-8)\/k)\/(12\/54)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from zfffkzhffzp?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 431096, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**6\/360 + i**5\/40 - i**4\/6 + 2*i**2. Let p(a) be the second derivative of n(a). What is the units digit of p(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166580 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 34. Suppose -3*z + 2*p = 9, -4*p = -2*p - 6. Let m be (z\/(-3))\/(6\/54). Solve v = -b + m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -64. Let p(z) be the third derivative of 0*z + 1\/6*z**f + 1\/24*z**4 - 3*z**2 + 0. What is the first derivative of p(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 0 (c) 1\/12 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k + 4*r + 12, -4*k - 5*r = 15. Suppose k = -2*b + 6, 4*m + 3*b - 141 = -0*b. What is the highest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 11, d: 3, e: 1}. Give prob of picking 2 d, 1 e, and 1 y.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 241*l**2. Let n(h) = -527*h**2 + 12 - 526*h**2 + 1052*h**2. Let t(i) = 4. Let z(g) = -2*n(g) + 6*t(g). What is a(z(s))?\nAnswer: 964*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -27110574.28 to the nearest 10000.\nAnswer: -27110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10586 by 10586.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 12) to base 9.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -580663, -580695, -580727, -580759, -580791?\nAnswer: -580823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/28560 and 83\/128940.\nAnswer: 8767920","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -292*t + 3170 + 17854. What is the highest common divisor of t and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680865 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 8*o**2 - 5. Let c be q(-8). Let u be (-12)\/c - 4\/10. Solve 3*v + 3 = u*v - 2*n, 3*v - 5 = n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 279.33 + 107.67. Is -0.05 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 3, d: 1, q: 1, s: 1}. Give prob of picking 1 q and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkf when three letters picked without replacement from fbbkkf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 6c18d?\nAnswer: 6c191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 4:09 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4612860 and 329490.\nAnswer: 4612860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Let n = 1965\/13 - 151. Let j = 10 + -5. Which is the closest to w? (a) j (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*n - 2*i, -7*n = -8*n - 2*i + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 9761.06.\nAnswer: 2928.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -10887*d. Let c(k) = 6*k. Determine -a(o) - 1719*c(o).\nAnswer: 573*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 269*b**3 - 20*b**2 - 3*b - 241983.\nAnswer: 807*b**2 - 40*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.2 in 1\/10, 0.4, -2\/3, 1\/114?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 38.2, -2, -4255?\nAnswer: 38.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 324 and -0.2.\nAnswer: -64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112152 - 111121.73. Let i = o - 1020. Let f = 9.6 - i. Round f to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 68823.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 1124*b**2 - 4*b + b**4 + 1124*b**2 + (0*b - 2*b**2 + 0*b)*(0*b + 2*b**2 + 0*b) to the form q + s*b**2 + n*b**4 + d*b**3 + j*b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7 + 1.4. Let a = 10.3 + m. Let n = a + -9.000045. What is n rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152225532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1045120 and 5092120.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + p + 18. Find the third derivative of -449*q**2 - 91*q**p - 100*q**3 + 422*q**2 wrt q.\nAnswer: -1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96.8 + 97. Let n = -3 - 0. Let j = -1.16 - -1.16. What is the nearest to j in -8, g, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2 - 8878858*y - 142062240 = 0.\nAnswer: -16, 4439445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-246)\/287 + 10300\/175.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 157539.41\nAnswer: -47261.823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/28, 141335, -0.5.\nAnswer: -0.5, 3\/28, 141335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b - 15. Let s(i) = 3*i + 7. Let y(t) = -3*j(t) - 7*s(t). Let r be y(-3). Let l(v) = v**2 - 7*v + 5. Calculate l(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 14*v**2 - 36*v - 31. Determine l(-17).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 782672 less than 782666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86437\/12 - 7205. Let j = 394\/3 + -133. Let w = j - q. Which is the nearest to 2? (a) -4 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 5*f - 2. Let o be g(-4). Let a be 0\/(o\/(-15)*3). Solve 3*r - 27 = -3*z, a = -4*z - 3*r + r + 28 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 0*k - 16. Suppose 2*m - 3 - 1 = 0. Sort 1, k, m.\nAnswer: 1, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - 5098.2627?\nAnswer: -5097.3627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/6))**(-2\/23)*l*l*l\/l**(7\/2)*l*l*(l**(-14\/5)*l)\/l assuming l is positive.\nAnswer: l**(-967\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 200572825 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 7, -358, -1103, -2330, -4141, -6638?\nAnswer: -9923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986*u - 156*u = 1752*u + 506*u + 71400 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2*x + 128 - 287 = -111, -21*t + 0*x + x = 614 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 8:19 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -725 from -44.22323.\nAnswer: 680.77677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 14. Suppose i*z + d = -d + 68, -5*z - 5*d = -115. Suppose -5*v - 3*h + 10 = -10*v, 0 = -2*v - 4*h + z. Solve -j + v = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 1\/5 (c) 17\/3 (d) 2 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and 7857345.\nAnswer: 7857345.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46 + 53?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38\/85 or -1?\nAnswer: -38\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/57 + (-2844)\/(-57). Let f = s - 29. Solve 0 = l + 4*l - 4*z + 16, 0 = -5*l - z - f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8965085, 8965057, 8965019, 8964965, 8964889, 8964785, 8964647?\n\"Answer: -x**3 + x**2 - 24*x + 8965109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + (sqrt(847) - -1*sqrt(847)) + sqrt(847)) - ((sqrt(252) - (2*sqrt(252) + 5)) + 3).\nAnswer: -60*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 1\/40*w**6 + 0 - 1\/3*w**3 + w**2 + 0*w + 0*w**5 + 0*w**4. What is the first derivative of l(y) wrt y?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**2 - 788 + 396 - 3*r + 394)*(-2 + 3 + 0 + (1 - 3 + 0)*(3 - 1 - 3)).\nAnswer: -18*r**2 - 9*r + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*1\/(-15)*-5. Suppose -w*p + 2*p + 2*o - 8 = 0, 0 = -2*p - 2*o + 8. Suppose -3*s + 4*s - 5*t - 53 = p, 148 = 4*s - 4*t. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -340358729 < -340358728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 594, 552, 508, 462, 414, 364, 312?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 39*z + 586 = 118 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64? (a) 0.5 (b) 702 (c) -0.04 (d) -0.022\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:59 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*2*-2 + -6*1*sqrt(88))\/(sqrt(72)\/(sqrt(81)*-1 + sqrt(81) + sqrt(9))).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**5 - 5*r**4 - 5*r**3\/3 + 10*r**2 + 57. Find s, given that g(s) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 88035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2847.345 less than -0.3?\nAnswer: 2847.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103123 + -204?\nAnswer: 102414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -2 + (-1 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622071925?\nAnswer: 5, 24882877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104199.\nAnswer: 3, 47, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 - 5*s - 5. Let n(h) = 2*h**2 + 3*h + 3. What is -5*n(g) - 3*q(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 19461*h. Let g(t) = -44*t. What is x(g(f))?\nAnswer: -856284*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-12))\/((1890\/48)\/(-15)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 4. Let p be l\/(-1)*-3 - 1. Calculate the greatest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3780 divided by -630\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443261031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (-5 + sqrt(325) - sqrt(325)) + -2 + -2 + sqrt(325).\nAnswer: -11 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 210103052893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79 by -3.\nAnswer: -79\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 2, -5, 1 in decreasing order.\nAnswer: 2, 1, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 126\/7 + -10 + (-1)\/(-1). Let q(m) = m - 12. Calculate q(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 1500669?\nAnswer: 1500672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1181166 and 7?\nAnswer: 8268162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from {z: 3, x: 3, e: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**6 + 3*k**4 - 18624*k**3 + k**2 - 3165*k?\nAnswer: 120*k**3 + 72*k - 111744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3\/17 - 43434*y**2\/17 - 391052*y\/17 - 20448 = 0.\nAnswer: -8, -1, 21726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7718 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -11*s**6\/720 - s**5\/40 - 3*s**4\/8 + 9*s**2. Let t(y) be the second derivative of q(y). What are the prime factors of t(-4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + f + 167 = -81, 4*f = 16. Let n = p + -254. Which is the smallest value? (a) 0 (b) n (c) 2\/87 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*h - 9 = -34, 3*y - 5*h = 0. Let x(u) = -4*u + 16. Let z(a) = a - 3. Suppose 6*p = 17*p + 154. Let s(t) = p*z(t) - 3*x(t). Determine s(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -10*w + 0*w**2 - 44\/3*w**3 - 1\/6*w**4 + 0 + 1\/5*w**5. Find the second derivative of s(g) wrt g.\nAnswer: 24*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1123.9 - 1123.900036664. What is c rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40632108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 208799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/53464 and 1\/46781?\nAnswer: 374248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2451749 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*j + 68 + 6. Suppose 2*n + j*i + 2590 = 15292, 0 = 4*n + i - 25410. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**3 - 10*x**2 - 29*x + 247. Let p be u(9). Is p at most 2091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/57785 and -131\/685230.\nAnswer: 87024210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose 13 - 115 = -a*y. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 2\/9, -2, -5, -35?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 + (5 - (4 - 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 + 1 = 0. Let i be c\/(-2)*20\/6. Suppose 79 = 4*h - i*t, -h + 3*h + 5*t - 77 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.019 and 1\/326 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 - 72*j - 485. Calculate d(-6).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 57 + (-3 - (-5 + 3)). Let i = -138 - -142. Suppose -i*u - 16 = 0, -2*u = -j - 7*u - 12. Calculate the greatest common factor of d and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + n + (8 - 4 + 2)*(-12 + 12 - 9*n))*(0 - 6 - 3).\nAnswer: 477*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(7 + -9)*3\/2. Suppose -r*w + w + 42 = 5*j, j - 26 = 4*w. Solve -5*k = -2*n - 0*k - j, 0 = 2*n + 2*k - 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 921 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + (-1*sqrt(1539))**2 + 2 - sqrt(1539)) + 4*(sqrt(1539) + 1)**2 - (-3 + ((3 + 1 + sqrt(1539) - sqrt(1539))*3)**2).\nAnswer: 72*sqrt(19) + 7560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uww when three letters picked without replacement from wwuwuu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x - 24*x**3 + 42*x**3 + 5*x**2 - 17*x**3 + 19*x as w*x + o + l*x**2 + r*x**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -58867 divided by -1591\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01805496 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*r + 26, 2*b - 5*r + 1 = -7. Put -2, b, -7, 2 in descending order.\nAnswer: 2, -2, -7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 480 = -5*h, 0 = -s + 5*h + 18 + 87. Let i = -15 + s. Is i a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30597, 61355, 92113, 122871?\n\"Answer: 30758*v - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 367\/620 - -1\/124. Suppose 4*v = 26 - 6. Which is the smallest value? (a) 4\/7 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13696115 divided by -2739223?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 + 5*t + 6. Let a be -7*1 + 525\/75. Suppose 2*n = -a*o + o - 56, -5*o + 2*n = -320. Calculate the remainder when o is divided by z(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*m + 98*m - 10 = -4*k, -4*m = -40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 19, -1, -3881 in ascending order.\nAnswer: -3881, -46, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -94, 2\/11, 32.3, 1, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-2)\/(-2) + -1. Let o(t) = -11*t - 1. List the prime factors of o(j).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g - 4*g - 2 + 3 + 0*g. Give c(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02072 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 2. Let a = 36 - 31. Let y(t) = 10 - a - t - 6 - t. Let g = 0 - -3. Determine g*y(m) - 2*l(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3378*s - 1653 with respect to s.\nAnswer: 3378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 1 in ascending order.\nAnswer: -7, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 32 = 25. What is the highest common factor of 38 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4\/8 - 231225*x**3\/4 + 13875309*x**2\/8 - 17171433*x + 56198610 = 0.\nAnswer: -154180, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -1. Let f be (1 + (-20)\/(-12))*6\/4. Suppose -p - d + 5*d = 1, 0 = -3*d + 3. What is the second smallest value in b, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 454554 + 1?\nAnswer: 454555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = u - 3, 0 = 5679*u - 5684*u - 2*l + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {j: 2, g: 11, y: 7}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 7. Let l be t(-3). Sort 1, l, 5 in ascending order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.4 - -6.400329. What is h rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 26927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o. Let v(z) = 3*z - 3. Calculate m(v(r)).\nAnswer: 9*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-17\/5)\/d**39*d\/(d*d**36)*d\/(d\/(d**(1\/22)\/d)) assuming d is positive.\nAnswer: d**(-8729\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -44 (b) -16 (c) -129 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**7\/1575 + a**6\/900 - a**5\/90 + a**4\/60 - a**2 - 6. Let r(u) be the second derivative of k(u). Find n such that r(n) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/5 + 1450906*v\/5 - 526282055209\/5 = 0. What is v?\nAnswer: 725453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/g*g**(2\/5))**(-17)\/((g**3)**(-22))**(-11\/6) assuming g is positive.\nAnswer: g**(-809\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-17\/2))**(-34)\/(w**8\/(w\/(w\/((w*(w**(-2\/29)*w)\/w)\/w)))) assuming w is positive.\nAnswer: w**(8147\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63380159?\nAnswer: 61, 389, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - -753\/8. Sort 3, 0.4, 2, r.\nAnswer: r, 0.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000422711 to 7 decimal places.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22476, -22526, -22468, -22302, -22028, -21646?\nAnswer: -21156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/14)\/(2\/(-28)). Suppose -5*d - y = 4*z, 10 = 3*z - 5*d + 4*d. Suppose -2*q - 16 = -3*q. Solve z*h = k + k + q, -5*k = 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25877 is divided by 421.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(3*o**3 + o**3 - 3*o**3)*(-1 + 10*o + 1).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1053208984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from lclclllllclllclcllc?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2807 - 0.28. Round p to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*c - 4*c - 2*c**3 + 0*c - c to h*c**2 + y + f*c + p*c**3 and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -10 + 4)*-1. Suppose -5*v = 6*i - d*i - 9, 10 = 2*v - 2*i. Calculate the lowest common multiple of v and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 2. Let q be u(6). Let a(b) = b + 4. Let c be a(-2). Find the third derivative of -q*m**2 + m**2 - 2*m**2 + 4*m**4 + 0*m**c wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7*7*(-60)\/(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00091499 rounded to 5 decimal places?\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3534 and 8585853?\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 58. Suppose -201 = l - 4*q + d*q, 631 = -3*l - q. Let n = l + 300. Does 32 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4908 divided by 4.\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**3\/3 + 7*v**2\/2 - 9*v + 2120. Give o(10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021020021 (base 3) in base 6?\nAnswer: -311311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3731 + -2380. Suppose 0 = -a - w + 339, -a + v = 3*a - w. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -91? (a) 1 (b) -2\/3 (c) 2\/5 (d) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 2:47 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2516*x**3 + 779 wrt x.\nAnswer: -7548*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.65 + -4.95. Sort q, -8, -2, 2 in decreasing order.\nAnswer: 2, q, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15648*h = 15639*h + 175977. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbpjlqjqqqjjqj. What is prob of sequence qq?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 152 + 196)*(3*c - 4*c - 2*c) as g*c + p and give g.\nAnswer: -984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -6. Let h = -1 - m. Let u be (-7 + h + -3)*-1. Solve -n = n - u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6847159, 6847163, 6847169, 6847177, 6847187, 6847199, 6847213?\nAnswer: 6847229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - (0 - 4))*-5. Solve 2*f - 8 = 4*n, i*n - 5*f = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24400)\/1464)\/((-15)\/36)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 7\/6*y**3 - 1\/15*y**5 - 28*y**2 - 1\/24*y**4 + 0 + 0*y. Let b(g) = -2*g**2 + 3. Calculate 7*b(l) - 3*d(l).\nAnswer: -2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from cclrrl.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y - 24. Let k(w) = 1. Let j(s) = g(s) + 3*k(s). Is j(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3 + 3*x + 3 + 2*x**2 + 1605*x**3 - 2. Let b be r(4). Let g = b + -176768. Round g to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816446?\nAnswer: 2, 3, 131, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7157 * -4.21.\nAnswer: 30130.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549661*s = -548857*s + 33852 - 2496 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (5 - 3) - -2) + (-4799 - -4810).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 3. Let m(u) = -45*u + 65. Let f(t) = -6*m(t) - 130*q(t). Let h be f(1). Let b = 109 + -9. Calculate the greatest common divisor of h and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.4, -2, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqpn when four letters picked without replacement from {x: 2, p: 1, n: 1, q: 1, v: 2, l: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**4\/4 - 3*z**2\/2 + z + 2. Determine t(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -26*y**3 - 332*y**2 + 68*y - 137. Calculate n(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -25 + 25 + 3*f. Let w(h) = 3*h**2 + 5. Suppose 3*u - 4*u - 10 = 0. Let c(p) = 2*p**2 + 3. Let t(i) = u*c(i) + 6*w(i). Give k(t(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7583*-13796.\nAnswer: 104615068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 78. Let s be d(48). Solve 10 = 4*g + s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 5\/6*w**4 + 5\/2*w**2 + 4\/3*w**3 + 1\/30*w**6 + 4\/15*w**5 + 22 + 0*w. Let y(m) be the second derivative of c(m). Factor y(q).\nAnswer: 4*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + 3*k**2 - 3*k**2)*(-95 - 47*k**2 + 95).\nAnswer: 141*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/257, -1, 0.2, 0.3, -2\/5, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6096150*y - 6458375 wrt y.\nAnswer: 6096150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpe when three letters picked without replacement from wewpwwwpewwepwwwepw.\nAnswer: 88\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 13. Let j(q) = -2*q**3 + 4*q**2 - 4*q. Let h(u) = -u**2 - 11*u - 15. Let i be h(-10). Let g(n) = -2*n**3 + 5*n**2 - 5*n. Determine f*g(s) + i*j(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 + 0 = 0. Suppose -v*n + 47 = -83. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 - 3*n - 1. Let o(b) = b**2 - 44*b - 1456. Let p be o(-22). What is g(p)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19902 - 13823. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 + 0.02. Let v = d + -3.89. Let c = v - -3.6. Is c != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3779035537.\nAnswer: 137, 1999, 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3975 and 151\/6?\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 2*g**2 + 5*g - 4. Let m(q) = q + 1. Let v be m(2). Let w be k(v). Solve z + w*n = 4*z - 2, -16 = 4*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 159 (c) -1\/3 (d) -0.1 (e) -3 (f) -7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -11*v + 560. Calculate the greatest common divisor of 400 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6796919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 259201153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*w**3 + 99951*w - 99951*w.\nAnswer: 104*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) - (2 + sqrt(19))) + 3 + 5 + (sqrt(76) + 0 - sqrt(19) - (sqrt(19) - -1*(sqrt(19) + sqrt(19) + 3)))**2.\nAnswer: 12*sqrt(19) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23261, 23223, 23173, 23105, 23013, 22891, 22733, 22533?\n\"Answer: -h**3 - 31*h + 23293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6150 and 5289?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - -2 - (6 + -5). Let v(r) = -5*r + 13. Let q(o) = o + 1. Let c(m) = w*q(m) - v(m). Differentiate c(g) with respect to g.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 280*v + 1915. Give z(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8\/5 + -4\/5. Put 4, q, -7\/6 in descending order.\nAnswer: 4, q, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -737*h**2 - 34821*h - 61952125 wrt h?\nAnswer: -1474*h - 34821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49237 - -89696. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2200 (base 3) to base 8\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b + 0*b + 4*b + (0*b + 2*b - 3*b)*(-3 + 3 + 2) + (-4*b + 6*b - 3*b)*(-5 + 2 + 0) + (4 - 2 - 5)*(-b - 92 + 338 + 123) to f*b + y and give y.\nAnswer: -1107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5495 and 426883.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -50*o**2. Let b(z) = -2779456*z. Calculate h(b(u)).\nAnswer: -386268782796800*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**4\/20 + 2*z**3\/15 - z**2\/10 + 404. Factor k(l).\nAnswer: -l*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.817715 and 2.\nAnswer: 15.63543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3049250 is divided by 166?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - g + 3)*(-5 + 9*g**3 + 5) + (-11*g + 22*g + 19*g)*(g**2 - g**3 - g**2) as i + c*g**4 + f*g**3 + l*g**2 + w*g and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1012, -2, -1027 in decreasing order.\nAnswer: -2, -1012, -1027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 14 = -32 - 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11384432357 - 1.5.\nAnswer: -11384432358.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*p - 14*p - 10*p + 1 - 1 - p + 1 + p - 1 + (-4 + 4 - p)*(-1 - 4 + 3))*(-3 + 1 + 0) to l + b*p and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/6112 and -61\/238956?\nAnswer: 365124768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00117551637 rounded to seven dps?\nAnswer: -0.0011755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -162 or -165?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 39*s**3 - 21*s**2 + 6*s + 4. Let p(c) = 8*c**3 - 4*c**2 + c + 1. Determine -2*l(x) + 11*p(x).\nAnswer: 10*x**3 - 2*x**2 - x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -101000110111000000110110 (base 2) to base 4\nAnswer: -220313000312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) 1 (c) 0.2 (d) -2.7 (e) -63 (f) -19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - 2)\/(-3 + (-1360)\/(-456)) is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36552 divided by -18276.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*w = -4. Let a be w\/(-4)*1*6. Let t = a + -11. Let y(i) = -i**3 - 6*i**2 - 5*i - 1. Give y(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5658 = -5608 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/3 of a day in hours?\nAnswer: 440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277134000 rounded to the nearest 1000000?\nAnswer: 277000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/22)\/(27713\/(-407) + 68)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -6*z + 27, 232*z + 3*c = 228*z + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**4 + 317321*p**3 + p**2 + 2894700*p - 2 wrt p?\nAnswer: -36*p**2 + 1903926*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.172, 0.5, 2\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-20)*(-5)\/10\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w + 5*w - w)*(-2 + 2 - 2) + w + 3*w - 3*w - 1 + 1 - 4*w)*(-1 + 1 + 5)*(20 - 81 + 26).\nAnswer: 1225*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1\/4))\/t)**(30\/11))**(-6) assuming t is positive.\nAnswer: t**(45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 348, 818, 1486, 2358, 3440?\nAnswer: 4738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jojyjokooqpopppop. What is prob of sequence oy?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*t = 4710. Let j = t + -466. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.2, -3\/2, 93, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -216 - -5?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/t**4)\/t)\/t**7*((((t\/(t**(1\/9)\/t))\/t)\/t)\/t)\/t**(-1\/3))\/((t**(1\/2)*t**(-3\/2)\/t*t)\/(t**(2\/15)*t**(-2\/5))) assuming t is positive.\nAnswer: t**(-452\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4 + 57643)*2*(-12)\/(-72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6016 and 1024.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 29.2. Let l = -1.6 + 6.6. What is the nearest to q in -5, -1\/3, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*p + 5*q - 15 = -217*p, p + 7 = 4*q. Sort -5, 32, -3, p in decreasing order.\nAnswer: 32, p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35529\/10 - 3562. Let w be (36\/30)\/((-6393)\/(-10)). Let y = w - -181119\/8524. Find the common denominator of y and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 1:17 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39316.59 days in microseconds?\nAnswer: 3396953376000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2103011 (base 6) to base 16\nAnswer: 18d6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkkp when four letters picked without replacement from kkpp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v = -921. Let a = -117 - v. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 45. Let r be s(-23). Which is the nearest to 10? (a) r (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 8*d + 3*u = -9, 5*d - 2*u = 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - o + 9, -3*o - 2 = -2*z - 21. Sort 2, 4, z in decreasing order.\nAnswer: 4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b + 18. What is the greatest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f - 4. Suppose f*j = -j + 5*h - 24, 4*j + 32 = -5*h. Does 9 divide 105\/4 + (-6)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6614 + w - 13109 + 6669.\nAnswer: w + 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 7*q**2 + 400*q + 195. What is t(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -3\/5 (c) -3 (d) -60 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 96*z + 100. Let j be m(5). Find the second derivative of -j*f + 581*f + 29*f**2 + 41*f**2 - 20 + 34*f**2 wrt f.\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 6*h**2 + 17*h - 7. Calculate z(-9).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8539*b = 8514*b + 200 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.278 or 15\/33208?\nAnswer: 0.278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3388612 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 63\/(-70)*(-14)\/1512*-9. What is the closest to 0.1 in 0.4, p, 4\/43?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1907 <= -1923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.02064?\nAnswer: 0.002064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 347874?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*q - 356*q = 411*q - 306*q - 63488 for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 1915*g - 934*g - 8 - 1646*g to the form a + q*g and give q.\nAnswer: -4495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(192)\/sqrt(4))**2 - sqrt(3)) + (sqrt(3) - sqrt(24)\/(sqrt(8)*1) - sqrt(3))).\nAnswer: -192 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - -2*(sqrt(162)*-2)**2)*1.\nAnswer: 9*sqrt(2) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -18880 divided by 4\nAnswer: -4720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y + 3*y)*(y - 2*y + 2*y) + (-5*y - y + 5*y)*(73 + 13*y - 73).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*g = -2 - 5, -3*k = -3*g - 3. Let b = -5 - -18. Let h = b - k. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110054 or -110048?\nAnswer: -110054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a. Let x be o(0). Suppose x = -u + 6. Suppose 2*t = -u, t + 9 = -2*g + 2. Sort g, -0.5, 0.1.\nAnswer: g, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31758 + -688. Calculate the greatest common divisor of 130 and f.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 163287 = -2*l - 568725, -3*o + 5*l = -183003. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -2*m + 8*m - 2*v, 0 = -4*v + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 4*g - 5. Let n be x(4). Suppose -6*s = n - 207. Are 30 and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 9*n**2 + 3*n**2 + 7*n**3 + 7*n**3 + 5*n**2. What are the prime factors of a(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m - 34. Let l = m + 36. Suppose -20 = 4*g, -3*v + 2*v + l = -g. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17293, 17294, 17297, 17302, 17309?\nAnswer: 17318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1340 - -21449\/16. Find the common denominator of -19\/84 and g.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by -194.\nAnswer: -48\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**4 + 159*j**3 + 1590*j**2 + 1128*j - 2880 = 0. Calculate j.\nAnswer: -40, -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1297*t - 41507. Give d(-32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/142 + -24*(-59020)\/3101280.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/28578319 and -17\/4?\nAnswer: 114313276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3905 = -14*v + 211. Calculate the highest common divisor of v and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/13 + 80*b**2\/13 - 288*b\/13 = 0. What is b?\nAnswer: 0, 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 144 = -39. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a meter in millimeters?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/11)\/(-1*6\/6).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 0. Suppose -7 + 82 = b*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9 + 2*l - l + 3*l - l. Let y be o(8). Solve -5*g - 5*q = 10, -2*g - y = -5*q + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 55*d**2 + 549*d - 13. What is t(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*b + 639 = 2197, 2*r + 5*b - 3111 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024471546 to 7 dps.\nAnswer: 0.0002447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(-2\/7))\/v)**40*v**6*v*v**(4\/9)*v assuming v is positive.\nAnswer: v**(2332\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*c - 1\/4*c**2 + 0.\nAnswer: -c*(c - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsgwfsswwwgfwwgsf. What is prob of sequence sw?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 681703 and -3.\nAnswer: -2045109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/13 (b) -5 (c) -0.6 (d) 9.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/10)*(x*x\/(x\/(x\/(x**12\/x)*x)))\/x)\/(x**(-3)*x*x**15) assuming x is positive.\nAnswer: x**(-223\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80860, 80861, 80872, 80899, 80948?\nAnswer: 81025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50176.62l in millilitres?\nAnswer: 50176620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -123\/893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8073 and 12259?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -181 (base 13) to base 4.\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 257 and 135364213.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19682 + 20130. What is the greatest common divisor of 392 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 5*w - 14)*(w + 256 - 7*w + w)*(2 + 2 - 3).\nAnswer: -25*w**2 + 1280*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 828 - 814. Does 22 divide (t + (-384)\/(-80))\/((-4)\/(-70))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 10145114?\nAnswer: 10145122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67952 + -34752. Suppose -4*v + g = 5*b, -6661 = -b - 3*v - 2*v. Let r = -3895 + b. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*(-35)\/525?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 7*n**2 + 8*n. Let u = 24 + -16. Let y be r(u). Suppose 0 = -3*c - y - 6. What is the second smallest value in c, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 284 = -4*c, -225*t = 4*c - 228*t - 284. Which is smaller: 100 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 1. Let n(s) = -5*s + 12. Let u(j) = -6*a(j) + n(j). Determine u(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-123)\/164)\/((-2)\/8). What is the smallest value in -1534, -2, l?\nAnswer: -1534","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)\/(l**5*l))\/(l*l**(1\/6)\/l*l*l*l*l*l**(3\/7)\/l) assuming l is positive.\nAnswer: l**(-571\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 12, -6*m + 5*m + 9 = n - 4*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 0.012, 4, 50469, 0.3, 0.5?\nAnswer: 50469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35297195 and 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12104 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10949?\nAnswer: 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/36 - 6\/(-27). Let h(b) = c + 12*b - 3 + b**2 + 2 + 3. Let g be h(-12). Solve 0 = -g*r + 4*a - 3, -2*r = -3*a + 7 - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10334 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 + 9*n**2 + 0*n**2 - 4*n**2 - 956 to the form h*n + w + g*n**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 660 divided by -6.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 51 - 23*w - 15 + 11*w - 41 as s + v*w and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 24*h - 53 + 51.\nAnswer: -26*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 + 324*c + 1948\/3.\nAnswer: -(c - 974)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1758925600 to the nearest 1000000.\nAnswer: -1759000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*d**3 + 8*d**2 + 5*d**4 - 7*d**4 + d - 1 + d**2 - 13*d**2 + 3*d**2 in the form l*d**2 + s*d**4 + c*d**3 + r*d + t and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 3\/(-9) + (-62)\/(-6). Let j be (-13)\/(-26) + 33\/v. Suppose j = 4*h - 14, 3*t = -3*h + 15. Solve t*r + 2 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 341 or 62381\/183?\nAnswer: 341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(475) + -4)*3 + sqrt(475))*6 - (sqrt(475) + 1 + sqrt(475) + 4 - (sqrt(475) + 3 + sqrt(475) + sqrt(475) + 1 + sqrt(475)))**2).\nAnswer: -1973 + 140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -37, 14, 128, -0.057?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exxexxeemx. What is prob of picking 3 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 13. Let k(t) = t**3 + 11*t**2 - 4*t + 3. Let l(y) = y**2 - y. Let s(x) = -k(x) + 4*l(x). Let f be s(g). Put f, -2, -4 in increasing order.\nAnswer: -4, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(5\/(-1)))\/(5\/(-1225)*-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183.8 - 184.3. What is the biggest value in d, -3\/4, -1326?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6*m - t - 318, 58 = m - 3*t. What is the remainder when m is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-2\/49)*t*t**(-25)\/t assuming t is positive.\nAnswer: t**(-1174\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4305, -4305, -4307, -4311?\nAnswer: -4317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 2, p: 2, u: 4, b: 2, y: 1}. Give prob of picking 1 l and 2 b.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.46 - -0.76. Let k = 2\/17 + 12\/187. Which is the biggest value? (a) k (b) u (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*g + 99. Let k = 176 - g. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*v - 4*z, 2*v + z + 3 = 6. Let g be v - (1 - -1) - -7. Let w be (-18)\/171 + 3105\/437. Which is bigger: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237642.18 - -176533.\nAnswer: -61109.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1543 - 0.15491. What is n rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200214 (base 7) in base 16?\nAnswer: 83bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1173, 1295, 1435, 1593?\nAnswer: 1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12636271 is divided by 73042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 172716\/43290 + (-4)\/1.\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j + 8 = 0. What is the tens digit of (-6)\/j - 1048\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 640\/(-65) - (-2)\/(-13). Let o(p) = -p**3 - 9*p**2 + p - 13. Let k be o(a). Calculate the highest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-1780)\/592 - -3). Let n = b - 410. Let j(t) = t**3 - 4*t**2 - 3*t + 2. What is the remainder when n is divided by j(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h - 3. Let m = -28 - -20. Let k(d) = -d**3 - 5*d**2 + 3*d - 12. Let g be k(-6). Let p = g + m. Determine r(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313008975 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - d + 10. Let w = -19 + 22. Let k(l) = -2 - l**3 - l + w*l - 5*l - 6*l**d. Give k(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 7*h - 4. Let k be z(-7). Let y(l) = 3*l + 0*l + 3*l - 5*l. Calculate y(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215*f**2 + 4 + 310*f**2 - 5 to y*f**2 + k + n*f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -10021012202?\nAnswer: 10021012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10378715, 10378713, 10378711, 10378709, 10378707?\n\"Answer: -2*u + 10378717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -18. Let i(f) = 0*f + 3 - f**3 + f**2 - 5 + 5*f. Let r(p) = -p. Let s be 1 + -3 - 8\/(-3) - (-380)\/(-228). Give k*r(h) + s*i(h).\nAnswer: h**3 - h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 5*b**2 + 4*b - 1. Suppose -7 = 3*g - 5*c, -2*c + 10 = 7*g - 10*g. What is u(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**5\/60 - 5*f**4\/12 - 2*f**3\/3 + 18*f**2. What is b(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 317742 + 5?\nAnswer: 317747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -37 + m + 15 + 16. Let b be f(0). Let h(j) = -2*j - 2. What is h(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 3) + -4 + 17 + (-10 - 2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 2299\/133 - (9 - 0)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1670785171, 1670785176, 1670785183, 1670785192, 1670785203?\n\"Answer: z**2 + 2*z + 1670785168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -54191, 0.333, -2\/25 in descending order.\nAnswer: 0.333, -2\/25, -54191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 + 70 = -2*b. Let o be (-13)\/(-4) - 1\/4. Suppose 84 = o*t + 3*f, 3*t - 64 = 4*f - 2*f. What is the greatest common divisor of t and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5 - 631120*p + 304460*p**3 + 19637*p**2 - 92872*p**3 + 423200 + 1840*p**4 + 3*p**5 - 25149*p**2 = 0.\nAnswer: -230, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25 + 13)\/((-3)\/6*2). What is the first derivative of 0 - m**3 - 92 - 10*m**3 - i - 2*m**4 wrt m?\nAnswer: -8*m**3 - 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 53.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r + 1. Let l(u) = 2*u + 2. Let c(h) = 5*l(h) - 4*t(h). Calculate c(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:03 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -1\/6, -5\/7, 5\/4, -2, 56.6, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*b - 55*b - 396 = 52*b for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4.2. Let i = -1 + 1.4. Let w = i + 0. What is the nearest to 1 in -3, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -306, -412?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49486116 divided by 970316?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 967, 3, -10, 154, 3\/7, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {s: 1, o: 1, b: 1, r: 5, c: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 366 = 3*x. What is the greatest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 121*l**3*q**2 + 14*l**3 + 5*q**2 - 4081 wrt l?\nAnswer: 363*l**2*q**2 + 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.365 - -0.035. What is the closest to -1\/3 in 3, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 377c - 4?\nAnswer: 3778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5152879 > -5152879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcx when three letters picked without replacement from xicccxci.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 - -226 - 14)\/1. What is the greatest common factor of 560 and v?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*o + 21 = -18, 2*b = o + 37. What is the lowest common multiple of 4 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q - 14. Let w be m(11). What is the greatest common divisor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 543 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19884028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**3\/12 - 25*i**2\/2 + 51*i + 574. Factor l(f).\nAnswer: -(f - 2)*(f + 102)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -21 + 38 - w + 2*w - 3*w. Calculate the remainder when 32 is divided by b(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 174*g.\nAnswer: -2*g*(g + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y**3 - 8*y**2 + 7*y - 5. Let u(k) = 4*k**3 - 4*k**2 + 4*k - 3. Suppose -a + 4*a + 33 = -3*n, -15 = -3*a + 5*n. Determine a*u(i) + 3*h(i).\nAnswer: 4*i**3 - 4*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -1856 and -2.\nAnswer: -1858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164731 and 258863.\nAnswer: 1812041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -78 + -1 + 31 + -43?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:05 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (953*x + 959*x - 20 - 1906*x)*(-4*x**2 + x**2 + x**2).\nAnswer: -12*x**3 + 40*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 84*m + 77*m + 99 = 0, 0 = 3*x - m + 70 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 806\/2877 or -1?\nAnswer: 806\/2877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 2. Let n(m) = -2*m**2 + 3*m - 3. Let h be n(1). Suppose 35*d - 39*d - 5*c = -3, 0 = d - 2*c - 4. Sort 0, d, l, h.\nAnswer: l, h, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000612689 rounded to 6 decimal places?\nAnswer: -0.000613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/12 + 2950\/40. Let j = 93 - k. What is the greatest common factor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2. Let m(c) = -5*c**2 + c - 10957. Calculate m(k(u)).\nAnswer: -5*u**4 + u**2 - 10957","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13640 divided by -248\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 18*z - 10. Calculate the remainder when 17 is divided by a(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 310?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23042028.\nAnswer: 2, 3, 1327, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 18 = -y. Let f = y + 20. Suppose -2*u = f*u. Which is greater: u or -5\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1122 + -1114. Factor 32*d**2 + 1\/2 + q*d.\nAnswer: (8*d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (60 - 64 - (-2 - -35))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 328 + -334. Let o(n) = n - 6 - 2*n - n. Let c be o(y). Let h(l) = -l**3 + 5*l**2 + 3*l + 6. Give h(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5039 - -267085\/53. Let c = -89\/106 + q. What is the common denominator of c and (-4 + 2)\/22*-43?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 + 3*s + 9. Let n(y) = 3*y**2 + 4*y + 12. Let a(h) = -4*c(h) + 3*n(h). Suppose 2*z + z - 6 = 0. Let i(l) = 6*l - 2 + z. Give a(i(w)).\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**3\/3 - 6*k**2 + 6*k - 6. What is the remainder when h(-10) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/88 - 1346\/8. Let m(j) = -11*j**2 - 3*j + 20. Let y be m(4). Is b equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 16. Let p = 69 + -77. What is the remainder when 62 is divided by c(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11133, 11143, 11153, 11163, 11173, 11183?\nAnswer: 11193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -100, -9, 3, -438 in decreasing order.\nAnswer: 5, 3, -9, -100, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15653 - -22606. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1308, -2498, -3586, -4578, -5480, -6298, -7038?\n\"Answer: -h**3 + 57*h**2 - 1354*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 602214 = 4*b, 5*a - 2*b - b = 1505591. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x - 12*x = 150 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 140882513 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/8 (b) -0.7 (c) 2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4650972 by -38.\nAnswer: 122394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 22 = -5*z, -3*z + 3*l = -4*z - 7. Let f(h) = -1 + 1 - 16*h - h**2 + 4 + 14*h. Calculate the remainder when z is divided by f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4528247 to the power of 1\/2, to the nearest integer?\nAnswer: 2128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5571, -5583, -5599, -5619, -5643?\n\"Answer: -2*d**2 - 6*d - 5563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/26*(-2)\/(-4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 2 + 4 + -2. Let a(n) be the second derivative of -n**4\/12 - 4*n**3\/3 - 5*n**2\/2 + n. Let b be a(-7). Put z, b, 4 in descending order.\nAnswer: z, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9\/35?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8461, 16919, 25379, 33841, 42305, 50771, 59239?\nAnswer: 67709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (6 + -3 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31859729, 63719457, 95579185, 127438913?\nAnswer: 159298641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 + -74. Let p(d) = 2*d**2 - 106*d - 352. Calculate the remainder when p(58) is divided by n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/30 + 71*q**4\/24 + 37*q**3\/6 - 153*q**2. List the prime factors of c(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5103) - -2*sqrt(5103))*-6 - (sqrt(224) + 2*sqrt(224) - sqrt(224))\/(sqrt(64)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 1680700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1505\/(-430))\/((-1)\/4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 7*i - 6. Let o(c) = -3*c**2 - 7*c + 7. Let u(t) = -4*n(t) - 3*o(t). Let q = 8 - 2. What is u(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fofefzvfo. Give prob of sequence ffzo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 - (-15)\/12)\/((-22)\/(-704))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3593778 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -5, 4\/5, -8584717\/8, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757091071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 8 + 0*j + 6*j)*(6 - 7*j**4 - 6 + 2*j**4 - 2*j**4 + 2*j**4 + 2*j**2 - 2*j**2 - 2*j**4 + (-3*j + 4*j - 2*j)*(5*j**3 + 0*j**3 - 3*j**3)).\nAnswer: -54*j**5 + 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-37))\/(3\/(-2)). Let o = v + -101\/185. Let d = -6.6 - -7. What is the second biggest value in 1\/4, d, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 185*t + 447. What is c(-90)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53864, -107635, -161206, -214475, -267340, -319699, -371450, -422491?\nAnswer: -472720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*j + 7, -141*j + 142*j + 5*f = -17. Calculate the lowest common multiple of j and 564.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*f = 29, -f + 0*f = -2*v + 31. Let s = v + -13. Suppose 2*r = 0, -4*r = s*o - 5*r - 52. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*9765.\nAnswer: 58590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 699 - 3201 = 0. Let a be ((-80)\/12)\/((-2)\/k). Round a to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687.1 rounded to the nearest ten?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -o - 31220002, -2*s + 0*o + 31220010 = -5*o. Round s to the nearest 100000.\nAnswer: 15600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4992.7 - 4978. What is the fourth biggest value in -1\/3, 0, -0.4, 2\/9, p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36503 + -36510. Put j, 0.1, -0.4, 186 in decreasing order.\nAnswer: 186, 0.1, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 17*x**6\/12 - 511*x**5\/20 - 337*x**2 - 3*x. What is the third derivative of t(b) wrt b?\nAnswer: 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/152)\/(2*12\/32)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**4\/28 - p**3\/2 + 9*p**2\/7 - 7*p - 16. Factor b(o).\nAnswer: 3*(o - 6)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3029950 and 1650.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-180)\/(-315))\/(738\/1435). Solve n*s**2 - 6*s + 20\/9 = 0 for s.\nAnswer: 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5532173.\nAnswer: 19, 291167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3 = 4*l, 9 = x - l. Suppose 3*f + 0*f = x. What is the third derivative of -n**5 - n**f + 7*n**5 - 2*n**5 - 3*n**5 wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7*10 - 3)\/((-4398)\/(-489) - 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 29. Suppose -5*x + 17 = 2*i, 2*x - 4*i + r - 5 = 0. Solve x*m - 12 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31176 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let x be f(-8). Suppose -d + 3*i + x = -36, -5*d = 2*i - 152. What is the remainder when d is divided by (11\/(-2))\/(2\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 + -70. Suppose -j = 35*m - 38*m. Suppose 57 = y + y + m*d, -d = 2*y - 47. Solve -y = -4*l - 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 13. Let f = 24.9 + -152.9. Let w = f + 128.1. Put 4, u, -5, w in decreasing order.\nAnswer: 4, w, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5709800*b**4 + 29*b**2 + 3*b - 35414 wrt b.\nAnswer: 137035200*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 18 - 10 - (-1 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*m**3*r**3 - 11*m**3*r + 4*m**2*r**4 - 1010*m*r**2 + 2*r**4 wrt r.\nAnswer: 852*m**3 + 96*m**2*r + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12699 or 11992?\nAnswer: 11992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/35 - 3*4\/(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 5*k + 5*n - 2*n, 3*k = -3*n + 84. Suppose k*w - 30*w = 2. Let q = 8 + -8. Which is the second smallest value? (a) q (b) -1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1093 and 2136?\nAnswer: -2334648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(-3*sqrt(5)*-1 + sqrt(5)).\nAnswer: -1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*q - 1400 = 52 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r. Let b(y) = -5*y - 3. Let u(k) = -5 - 12 - 9*k - 20*k. Let a(p) = -34*b(p) + 6*u(p). What is m(a(s))?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4672 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*i - 302 = -1067, -5*i + 375 = 2*l. What is the remainder when l is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1392*l - 145. Suppose 495 = g + 498. Let b(a) = 29*a - 3. Calculate g*m(p) + 145*b(p).\nAnswer: 29*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, -3\/4, -0.88, -5, 0.2 in ascending order.\nAnswer: -5, -3, -0.88, -3\/4, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 79 = 3*g, -i - 5*g + 49 = 8. What is the third derivative of -n + i*n**2 + n - 16*n**5 - 31*n**2 wrt n?\nAnswer: -960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 30. Let p(y) = -2*y - 4. Let n be p(-3). Let q(d) = -2*d - 7. Let v be q(-5). Solve -l + a - v = n, r = l + a + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 10 = -9*k. Let j be ((-5)\/10)\/(k\/(-8)). Sort -0.1, 0.3, j.\nAnswer: j, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135887506.\nAnswer: 2, 19, 3575987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24 - 7.64. Let w = 7 + r. What is the closest to 1\/2 in w, -0.3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1308341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 + 0*f**2 - 6*f**2 + 3*f**2 - 5 to the form p + n*f + o*f**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*sqrt(343))**2 + 3)*1 + (-4*(4 + (sqrt(343) - (sqrt(343) + -2) - sqrt(343))))**2.\nAnswer: -1344*sqrt(7) + 6406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bub when three letters picked without replacement from buu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24394 is divided by 214.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 364 - 359. Suppose -11*h + u = -12*h - 5*k, 5*k + 5 = 3*h. Solve 3 = c + 5, 2*w - 2*c - 2 = h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4 + 3 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -7*y + 14*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from vgcczvvcgc?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25934 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = 0, 4*j = 5*q + 53 + 2241. Is q\/4*6\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 8. Let c(t) = -t**3 - 5*t**2 - t - 12. Let y be c(-5). Which is smaller: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*p + 442, -z + 154 = 2*p - 0*p. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/126 - 264\/(-14). Suppose 4*c = 183 - o. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - -2443015?\nAnswer: 2443002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -10. Suppose 0 = 2*d - 7*d + 5. What is the remainder when (h\/(-6))\/((-320)\/30 - -10) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 0*i - 9*i + (-2*i + 0*i + 4*i)*(4 + 1 - 3) + 0*i - i + 0*i + 3 - i - 3.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s + 3*s - 162 = 0. Solve 84*h = 82*h + s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -4\/9 (c) -0.63 (d) 94192\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.3, 1, -169 in ascending order.\nAnswer: -169, -0.3, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0883 - 0.0051. Let g = 0.1734 + m. Which is the biggest value? (a) -1 (b) 1\/4 (c) g (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1179 + 300 + 300 + 297 - 337*m + 268)*(3 - 1 - 5).\nAnswer: 1011*m + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10123 is divided by 2021?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + s - 5)*(6*s**4 - 2*s**4 - 3*s**4) + 13*s**5 - 23*s**5 - 19*s**5.\nAnswer: -28*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6, -7*o - 69 = -4*s - 2*o. Let n = s - 6. Calculate the greatest common divisor of n and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2 + 34*q + 208 = 0 for q.\nAnswer: -26, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c - 1. Let p(f) = 3*f - 1. Let g(o) = -4*p(o) + 5*x(o). What is g(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 8:16 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.6 - -5. Let l = -28 + -126. Let q = l + 153.7. Which is the smallest value? (a) 0.03 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 + 3)*(-4 + 1 + 5) - 4 - 5 - 1)*(-39*d - 18*d + 2*d) to the form p + x*d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 18571 + 4737. Suppose -2*j + 3485 = 3*g - 3*j, 0 = -5*g - 3*j + n. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y + 1. Let c(j) = j**3 - 3*j**2 + 2. Let r be c(3). Suppose 2 = 3*o + l, 9 = 4*o + o - 4*l. Let z = o + r. Determine f(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204775?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813*m - 423*m = -86801 + 13877 for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q - 5*w = 15, 1 = w. Determine h, given that h + 19 + h**2 + 8*h**4 - 19 - q*h**3 = 0.\nAnswer: -1\/4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**4 + 96*l**3 - l**2 + 22 wrt l.\nAnswer: 48*l + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 653.18535 seconds in days?\nAnswer: 0.007560015625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -514 + 707. Let j = 214 - d. What is the highest common divisor of j and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + (11 - -69) + -71.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 23. Let m be (-1)\/2 + 3401\/38. Suppose -2*i + 51 = m. Let p be q(i). Calculate the greatest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 6, u: 1, j: 4, w: 1, f: 2}. What is prob of sequence mwnf?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63162 - 21*g + 63162 + 29166*g**3 + 21*g.\nAnswer: 29166*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 - 37068 + 37068.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/((-4245)\/(-107540)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.6 + -3.4. Let y = -37 - g. What is the closest to 1\/4 in -72, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.69 and 0.3?\nAnswer: -1.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3244114434 + 122?\nAnswer: 3244120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 960750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**4\/4 - 553*g**3 - 917427*g**2\/2 - 169112377*g + 708. Factor w(k).\nAnswer: -(k + 553)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -6. Suppose -4*a = 12*a - 48. Suppose h*r = a*r - 4. Which is greater: r or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -531, -1, -4.\nAnswer: -531, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168829.\nAnswer: 197, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -878912*a**2 - 46*a. Let i be m(-8). What is i rounded to the nearest 1000000?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -287*i - 9782. Give d(-34).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -19, -52, -119, -232?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53168 is divided by 380.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 5*q - 27 + 11, 3*l - 4*l - q = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -493 + 520. Suppose 4*n + 81 = -5*s + f, 4*s + 4*n = -44. Let q(o) = o. Let v(h) = -4*h**2 - 5*h - 1. Give s*q(k) - 2*v(k).\nAnswer: 8*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 4*w**2 + 2*w + 3. Let l be u(-2). Suppose -2*q + 48 = 3*q - a, -5*q - 5*a + 60 = 0. Factor -2*o - 4 - l - o**2 + q.\nAnswer: -(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1 (c) 2 (d) -0.2 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 126?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-10) - -5) + (-23)\/(-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52337.25s to microseconds.\nAnswer: 52337250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -19\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 575.\nAnswer: 2875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 3*t + 5*t)*(1 + 6 - 2)*(-2 - 1 + 5) to the form m + y*t and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 785161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 499 and -1350?\nAnswer: -673650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 3 + 63. Let m = 2.5 + -2. What is the third smallest value in -1, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}