diff --git "a/data/dm_maths/full_data/1049_11255.jsonl" "b/data/dm_maths/full_data/1049_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1049_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in -5*y**3 + 78*y**3 + 44*y**3.\nAnswer: 117*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*n = -33, -5*i = n - 4*n + 37. Let w(o) = -2*o + 2 - 23 + 4*o + 0. Let d be w(13). Sort d, i, 3 in decreasing order.\nAnswer: d, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 6052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.9 + 2.58. Let f = z + 0.52. What is the closest to 0.1 in f, 0.3, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236 - 230. Suppose 0 = 2*a - 2*z - 214, z - w*z = -4*a + 428. What are the prime factors of a?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 24 = -0*l - 5*d, 0 = 2*l - 2*d + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 5. Let v be d(-9). Suppose -v = 3*s - s. Let j(n) = 40*n**2 + 3*n + 1. Is j(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 7*o + 9. Let x(k) = 12*k**3 + 490*k**2 - 28*k + 36. Give -4*s(m) + x(m).\nAnswer: 8*m**3 + 490*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 28 + 114)*(n**3 - 8*n**3 + 0*n**3).\nAnswer: -833*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42628 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-700)\/21))\/(72\/4*14\/3990)?\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 332404 (base 9) to base 12\nAnswer: 96b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5))**2)**13 assuming p is positive.\nAnswer: p**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 13344888 - 67815780. Let m = y + 3611556. Round m to the nearest one hundred thousand.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4103.\nAnswer: 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 7*k + 7. Determine a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*t, 3*r = -t - r - 13. Let z = -3 - -4. Let n = z - 1.3. What is the third biggest value in t, n, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0 + 1 - 5*z**2 + 0 + z**3. Let r(q) = -q**2 + 1. Let i(m) = -m**3 - 5*m**2 + 8*m + 8. Let l be i(-6). Let p = -1 - l. Determine p*r(j) - g(j).\nAnswer: -j**3 + 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17881*n - 8941*n - 8938*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 36\/126 - 20\/28\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, 0.2 in descending order.\nAnswer: 0.3, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 15650?\nAnswer: 46950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-4)*(3 + -2). Suppose -8*q = -b*q - 56. Solve c + 5*n = q, 2 + 0 = 2*c - 2*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*2\/(-12) - 6800\/408?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19747574 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.5, -2\/3, -4, 4, -0.2, -2\/7, -36?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17149 is divided by 1423?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = p, -94 + 124 = -5*p - 5*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230 = -59*x - 301 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(3\/8048) + -2 + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -130*y - 650. What is j(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -26106*m - 261270. What is u(-10)?\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317482489.\nAnswer: 317482489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1019562048 and -20.\nAnswer: 1019562028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 7406011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 1. Let q be y(-6). Let v(l) = -l + 5. Let c be v(q). Suppose 5 = -c*b + b. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by 161869.\nAnswer: -102\/161869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -2, 1112251 in descending order.\nAnswer: 1112251, -0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81765.61t to nanograms.\nAnswer: 81765610000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-22)*s**(-14)*s**(3\/20)\/(s**9\/s) assuming s is positive.\nAnswer: s**(-877\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -358513, -1, 5, 55.\nAnswer: -358513, -1, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 1 = o, 280*o - 3*h = 275*o + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1471, -1478, -1497, -1534, -1595?\nAnswer: -1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 665310 and 332655?\nAnswer: 665310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 776669851477 - 1?\nAnswer: 776669851476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2491966 divided by -22\nAnswer: 1245983\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - (21 + -30)) + 18 + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 771*b**2 + 12065*b + 11346. Give o(755).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8046*-0.2.\nAnswer: -1609.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**5 - 5*z**4\/4 + 5*z**3\/3 + 5*z**2\/2 + 14. Factor h(d).\nAnswer: -5*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h + 1. Let u be z(-3). Let a be (-28)\/(-8)*10*1. Suppose 5*p - 7 = -0*r - r, 5*r - 2*p = a. Solve -u - r = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4729*r + 4736*r - 87 = 0, 0 = 3*t + r - 26 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3812834, -3812835, -3812838, -3812843, -3812850?\nAnswer: -3812859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 5126080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 512*z + 33. What are the prime factors of v(2)?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 9 = 3*d, -4*d + 2*y + 5 = -17. Suppose 3*w - 5*w = -d*w. Let x = 23 + -7. Solve -x = -4*v - w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 988677214 divided by -1918\nAnswer: -515473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719349 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -10 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let y(a) = 35*a**2 - 2*a + 3. Let u(d) = -35*d**2 + 4*d - 4. Let x(j) = -3*u(j) - 4*y(j). What is o(x(m))?\nAnswer: 35*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 15 - 54. Suppose -3*m + k = 5*u, m + 2*m + 3*u = 15. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8317.2 + 9698449\nAnswer: 9706766.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h + 8*h + 8*h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 69*j**2 + 75*j + 94. Determine t(-70).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 0.4, -166\/9, -0.07, -3.\nAnswer: -166\/9, -3, -0.07, 1\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -236 - -238. Let a(n) = 17*n**2 + 9*n - 23. Suppose -3 = s + 6. Let h(g) = 4*g**2 + 2*g - 6. Let c(z) = i*a(z) + s*h(z). Factor c(u).\nAnswer: -2*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 220\/14 + (-4)\/(-84)*6. Suppose j = -5*b + c + 36, 3*c = -b - 12. Let w = b + 25. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1096247 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 33*l - 5 = 0. Suppose 25 = l*x, -x - 4480 = -5*p + 2*x. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -847 + 517. Let t = -328.701 - b. Round t to 2 dps.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -16\/10281?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppepppppp. What is prob of picking 1 p and 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -36, -78, -136?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 198 + -189. What is the smallest common multiple of 22 and 79 + -5 + n - (-7 + 2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1768446 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -463 - -461. Let d be h*18\/(-12) + -8 - -10. Solve 11*g = 6*g - 4*l + 12, -3*g + 2 = d*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 60.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*k - 6*d + 192, 0 = 3*k - 3*d + 147. Let y = k - -90. What is y rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 19*a**2 + 20*a + 11. Let z be l(20). Let o = -16 + 41. Let g = o + z. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*q = 200, -4*q - 4 - 226 = 2*c. Let u be c\/(-14)*4\/(-6). Sort u, 5, 0 in decreasing order.\nAnswer: 5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1479*-39.3\nAnswer: -58124.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z**2 - 2*z**2 - 8*z**2 as k*z + w*z**2 + q and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 698.3468 millilitres in litres?\nAnswer: 0.6983468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00865705681 to five decimal places.\nAnswer: -0.00866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15300.96 centimeters?\nAnswer: 153.0096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**2 - 54*s - 6. Calculate w(-7).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73835*c - 73838*c = x - 11, -x = c - 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 55*u - 34)*(1 - 12 - 12 + 7).\nAnswer: 880*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4\/4 + 405*z**3\/4 - 4863*z**2\/4 + 12663*z\/4 + 8967\/2 = 0. Calculate z.\nAnswer: -1, 7, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 - 16 = 5*n, 10 = -5*x - 4*n. Let h(q) = -2 + x*q + 2. Let s(l) = 712*l**2 + 542*l**2 - 1260*l**2. What is h(s(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3691248 months?\nAnswer: 0.0307604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 169725923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 11*g. Let i(z) = -3*z. Let x(l) = -l**2 - 5*l + 2. Let a be x(-6). Let u(b) = b. Let s(p) = a*u(p) - i(p). Determine s(t(y)).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 74.762 and -161?\nAnswer: 235.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-14) - 6\/(-14). Solve 0 = 3*f - 3*w, w = -2*f + z + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 72*k + 151. Is 27 a factor of v(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665072.3 nanoseconds to seconds.\nAnswer: 0.0006650723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -1658) + -2 - (0 + 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17104 and 976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3*i*p**2 + 51*c**3*p - 14*c*i*p**2 + 2*i*p - 2*p**2 wrt i.\nAnswer: -c**3*p**2 - 14*c*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 28 = -3*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0724 bigger than 1050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2874.929928 to 0 decimal places.\nAnswer: -2875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 8. Suppose 0 = v + 4*v - 55. Let t be x(v). Let q be (-8)\/6*3 - t. Which is smaller: q or -17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - 644597709.\nAnswer: -644597648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26\/11, -5, 0, -2\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1808076 divided by -6?\nAnswer: -301346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29574*m + 14451*m + 217147*m.\nAnswer: 261172*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0126 and -7.\nAnswer: -0.0882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312) + 3*(sqrt(312)*-2 + sqrt(312)))\/(sqrt(294)*1))**2.\nAnswer: 208\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a. Let z be 24 + 4\/((-12)\/9). Suppose -5*y + 4 + z = 0. Solve 4*q + y + 3 = a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13738*-10.5.\nAnswer: -1.44249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3077425 divided by 25?\nAnswer: -123097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 79708920 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**5\/60 - y**4\/12 - 2*y**3\/3 + y**2. Let t be 6 - (8 + -4) - (-3 + 1). Calculate z(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -25, -28, -5, 56?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nannnddnda. Give prob of sequence dd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + (7 - (-4 - -9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -4, 0.7, -11189?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*y - 518 = 112, a - 3*y - 325 = 0. Suppose -832 = -4*i + 3*p, 2*i - 5*p - a - 92 = 0. Let j = i - -789. Round j to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-1)\/1)\/(8\/(-96)) + 345 + -369?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 + 13*n - 3. What is the tens digit of o(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 363395, 363398, 363401?\n\"Answer: 3*y + 363392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/42*((-182)\/77)\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -111*g**3 + 1002894*g**2 - 1084089*g + 81306 = 0. Calculate g.\nAnswer: 3\/37, 1, 9034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -36 - (59 - 81)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35037119?\nAnswer: 13, 17, 23, 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Let n be d + 74*(3 + -5). Let c = -48 - n. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39b6 (base 12) in base 8?\nAnswer: -14732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12 + 14*f - 19 + 7. Let h(x) = 8*x. Calculate k(h(j)).\nAnswer: 112*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -67143325 divided by -13428665\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 5*i - 2. Suppose -v - 11 = -2*a, -2*a - 3*a + 17 = v. Let r be h(a). Determine s so that 5 - s**r + 0*s**2 - 4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = 4*f, f - 6*f - 2*v + 23 = 0. Suppose 20 = 4*c + 5*a - 629, 5*c - 808 = -f*a. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let t(v) = -7 + 0 + v - l. Let c be t(7). Which is smaller: 0.2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276666?\nAnswer: 2, 3, 13, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 77681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 25 = 2*z, 0*z + 5*x = -2*z + 1. Let i(g) = 7*g. Let y(j) = -6*j. Let q(k) = -5*i(k) - 6*y(k). What is the lowest common multiple of q(10) and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6389608, -25558460, -57506548, -102233872, -159740432, -230026228?\nAnswer: -313091260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -3)\/2 - -2. Let l(m) = m + 8. Let f be l(-9). Let k be 1*f\/3*-9. Is k smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3006\/3507)\/((-27)\/(-28))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 + -59. Calculate the common denominator of -14 - a - 42\/20 and (-178)\/(-6)*(-1)\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 26, -3\/8, 2\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 2768.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 675 and 270.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 566534 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 1\/3 (c) -2\/9 (d) 0.3 (e) -4\/9 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66839702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 1\/60*m**5 + 0*m**4 + 0*m + 0*m**3 + 0 + 1\/210*m**7 + 0*m**6 - 3*m**2. What is the third derivative of q(o) wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 6*b**2 - 9*b + 3. Suppose 0*p + 22 = 2*p. Let y = 4 - p. What is the least common multiple of 2 and o(y)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-20)\/6)\/(470\/(-564)) + 673 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.481 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45806, -91611, -137416, -183221, -229026, -274831?\nAnswer: -320636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178*q - 1131*q + 251 - 251 to the form c*q + p and give c.\nAnswer: -953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, f: 1, b: 5, k: 1, e: 2}. Give prob of sequence bk.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 10. Let h = -19.999953 + w. What is h rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**5\/2 - 3495*m**4\/2 + 83780*m**3 - 753990*m**2 + 1493280*m + 2332800 = 0. Calculate m.\nAnswer: -1, 6, 40, 648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 22. What is the common denominator of 3 + d\/8*4 and 54\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3437, 5015, 6551, 8045, 9497?\n\"Answer: -21*u**2 + 1641*u + 1817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42534605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1 (c) -2\/31 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-290)\/220*(-2)\/13. Let y = -3\/143 + i. Which is the closest to 0.3? (a) y (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*u**3 - u - 384?\nAnswer: 69*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 + 9*v**2 + 6*v - 5. Let s be (-66)\/(-30 - -8) - -2. Calculate y(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -8*d - 27. Let v be p(-6). Suppose 2*y - 5 - v = 0. What is the derivative of -17 - 27 + y*t + 46 wrt t?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*a - 21*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13*n + 422. Let q be p(-42). Let k be q*27\/72*(-6)\/9. Solve -k*i + 26*i - 5 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqqyyyddeyyddeeqqye. What is prob of picking 1 q and 2 e?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: How many hours are there in 32.889546ns?\nAnswer: 0.000000000009135985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-104029)\/4278 - (-8)\/10. Let p = q + 852\/31. Let h = 33058\/10549 - -5\/1918. Calculate the common denominator of h and p.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3 + 136*l**2 + 44*l - 4.\nAnswer: 6*l + 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*c**4 + 113*c**4 + 44*c**4 + (1 + 0 - 2)*(109*c + 15*c**4 - 109*c) to the form o*c**4 + i + a*c**3 + t*c + b*c**2 and give o.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 j, and 1 h when three letters picked without replacement from jdjnevhv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10664 = -336*u + 1055 - 807 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from hhqqxhiqyqh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 11*i - 7. Let g(h) = h**3 + 4*h**2 - 2*h + 6. Let d be g(-5). Is k(d) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 14, u: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**1*m))**(-2\/71)*m**0*m*m\/m**(-1\/16))\/((((m\/(m\/(m**(-2\/11)\/m)))\/m)\/m)**13\/(m*m**(1\/3))**(-1\/9)) assuming m is positive.\nAnswer: m**(205657\/4752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = -3*l, -4*q - 4*l + 25 = q. Solve q*k = k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 153, 363, 621, 921, 1257, 1623?\n\"Answer: -w**3 + 30*w**2 + 127*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20333360214.75 and -0.2.\nAnswer: 20333360214.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4517 a factor of 77967937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 50\/6613 (b) 14 (c) 0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2. Let f(g) = g**3 - 5*g**2 + 6*g - 6. Let c be f(4). Suppose -w + 24 = c*w. Let p(y) = 0 + 3 - 3 - w*y. Give p(d(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9119477 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 14*f**2 - 16*f - 11. Let l be y(13). Let c = -95 - l. Let p = -27 - c. What is the remainder when 34 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 93 - 37 = 3*n, 4*n = 4*h + 224. Let d be (-62)\/(-14) + 416\/h + 7. Solve -2*i - o = 2*i + 7, d*o = 5*i + 35 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2240, 9315, 21106, 37613, 58836, 84775?\n\"Answer: 2358*y**2 + y - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 - -5) + -2 - -2 - (-1 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 13*r + 7. Calculate c(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**4\/12 - 5*v**3\/6 - v**2\/2 + 1494*v. Let w be (-6)\/4 + 3\/6. Let j be w*2 + (-2)\/1. What is l(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -474\/11 + 43. Let a = -15 + 15.4. What is the third biggest value in 0.5, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*i + 326282, -4*y = 3*i - 8*i + 326273. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*r - 159*r - 8 - 124 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 493103 = -175004 + 18635. List the prime factors of v.\nAnswer: 2, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -300 + -4?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7*q + 6 = -8*q, 4*k + 2*q = -34. Which is the second smallest value? (a) 0.2 (b) -3\/19 (c) -0.3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.424 - 4.424. Sort 12, -7\/5, t in decreasing order.\nAnswer: 12, -7\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 69?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, 21, -9, 1, -17 in decreasing order.\nAnswer: 21, 1, -1, -9, -16, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15453 divided by -5151?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/15*(-2)\/(-4)*-5. Suppose 0 = -u + a. Let w(h) be the third derivative of -h**6\/120 + h**5\/20 - h**3\/6 + 6*h**2. Determine w(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5)*-4*(-190)\/76. Solve 9 = -2*o + 3, 19 = y*c - 5*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310323 (base 5) to base 2.\nAnswer: -10011101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 32 = -20*v. Let h(m) = 9*m**2 + 14. Let r(b) = 9*b**2 + 12. Let c(n) = v*r(n) - 6*h(n). Let z(u) = -7*u. Determine z(c(a)).\nAnswer: -63*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5791015 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 4*k + 1. What is x(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89583, 89547, 89451, 89265, 88959, 88503?\nAnswer: 87867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/15 - 598*s\/3 + 2992\/15 = 0 for s.\nAnswer: -1496, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-141618)\/54*36\/(-8)*2. Let j = 33750 - h. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 1 - ((-120)\/27)\/2. Let v(a) be the first derivative of a**3\/3 + 5*a**2\/2 + 6*a - 25. Let g be v(-3). Is g less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*m - 187*m = -32. Let f = m - -16. Suppose -2*x + 5*x - 508 = -2*n, x - 2*n - 172 = f. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 7.6. Let m = o + -7.29999878. Round m to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -3529?\nAnswer: 2\/3529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -12*c + 7. Let l(g) be the first derivative of -g - 518. Give -6*l(b) - q(b).\nAnswer: 12*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -140.6 (b) 4 (c) 2 (d) 17\/2 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is e7 (base 16) in base 3?\nAnswer: 22120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v**(-2\/7)\/v)\/v))**36*(((v**1*v)\/v)\/v)**(1\/11) assuming v is positive.\nAnswer: v**(1080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 337543 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f + 2*f)*(2*f**3 - f**2 + f**2)*(-6*f + 2 - 11*f + 19*f + 1 - 1 - f + (0 + 3 - 1)*(2 - 2 - 2*f)).\nAnswer: -6*f**5 + 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-4*3 + -2 + -3 + (2 + -3 + sqrt(1539))*-1)**2.\nAnswer: 168*sqrt(19) + 8395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.59508g to tonnes.\nAnswer: 0.00004859508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(4\/3))**45 assuming r is positive.\nAnswer: r**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2413142627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 15 + 2)*(-854 + 17*o + 854) - 4*o + 3*o + 3*o.\nAnswer: 291*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raaarralalalrala. What is prob of picking 3 r?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -6*i**4\/11 + 1592*i**3\/11 + 2692*i**2\/11 - 5880*i\/11 + 1602\/11 = 0.\nAnswer: -3, 1\/3, 1, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**2 + 47*j - 6. Let c(n) = n**2 + n - 1. Give -4*c(m) + d(m).\nAnswer: m**2 + 43*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009006 rounded to seven dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*s + 633*s - 1232*s + 11563 = 0 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1072730.6 to the nearest 1000.\nAnswer: -1073000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*y = 962, 3*y = 2*c + 6*y - 387. Let b = 84 + c. Suppose -4*z + 0*z = -b. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 272 + 19*d**2 - 272 in the form p*d + b + m*d**2 and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-108)\/(-16))\/(3\/8). Suppose 0 = -2*p + p + q. What is the least common multiple of p and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(9\/3))\/((-1)\/10)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) + 34\/(-6). Let k be (y\/15)\/(2\/30). Does 21 divide (-4)\/k + (-1008)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 - (-253 - (-244 + 111))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -7119128.\nAnswer: 1\/7119128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 12. Let b(f) = -3*f - 20. Let w(z) = -3*b(z) + 5*p(z). Let m(o) = -5*o + 2. Determine w(m(i)).\nAnswer: -20*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 23 + 1. Suppose -5*d = -3*o - k, -3*o - d + 16 = -0. Let n be ((-2)\/o)\/(11\/(-22)). Is n equal to 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - 1644ab?\nAnswer: -164503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*z - 264 = 311*z - 138*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 14*j**2 + 14*j - 19. Calculate s(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 4*f - 2. Let s(u) = u - 7. Let t be s(5). Let y be l(t). Suppose i + 3*i - 322 = -2*j, -y*j = -i + 83. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 27*j + 47. Determine k(0).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y - 4. Let f be c(-4). Suppose -8 = -5*h + 12. Let w(i) = 2*i - 3. Let r be w(h). Solve 3*m - f*m = r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9371, -18743, -28115?\n\"Answer: -9372*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 5*h + 12*h + 55, 2*f - 2095*h + 2090*h = f + 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 0. Let s(i) = -2*i + 4. Let m(u) = u - 3. Determine k*m(f) - 2*s(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -23) + -5 - (-11 - -2 - (-44 - 28))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -220*i**2 + 2 - i**5 + 3*i**5 - 2 - 104*i**4 - 63*i**2 wrt i.\nAnswer: 120*i**2 - 2496*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16888.\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - d**2. Let g(k) = -2*k**2 + 1. Suppose 3*i + 2 = i. Calculate i*g(n) + 2*c(n).\nAnswer: 2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -1\/4 (c) -14 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(-1)*10*3\/(-14820)*-52?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -11 + 231\/11 - -170 and 30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 25. Let r be z(8). Calculate the greatest common factor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182 divided by -110784.\nAnswer: -91\/55392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 10) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 1, u: 1, f: 2, n: 4}. Give prob of picking 2 f.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(2\/5))))**(-46)*(p**(-11)\/p)\/p**23 assuming p is positive.\nAnswer: p**(-497\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 8*c**2 + 11*c + 14. Calculate g(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*v**4 - 812*v + 1681*v - 867*v + 44*v**3 + v**2 as u*v**3 + w*v**2 + m*v**4 + t*v + l and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.5 - 16.47028. Let f = -0.03 + s. What is f rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 976720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -115.50226 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1278872287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1421042056 - -2?\nAnswer: 1421042061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 20*p**2 - p**2 - 5*p**2 - p**2. Let i(c) = 2*c**2. What is i(v(u))?\nAnswer: 1352*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, -73, 6509?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**3\/3 + m + 1. Let s = 972 - 973. Let n(f) = f**3 + f**2 + f - 1. Let c be (0 + 1\/(-2))*-2. Give c*n(g) + s*p(g).\nAnswer: g**3 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-8))\/(3\/24). Let v(a) = a**3 + 10*a**2 + a + 11. Let p be v(-10). Solve -4*o = 4*l + 3 + p, z = -3*o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h. Let d be (400\/12)\/(2\/6). Let b(o) = -51*o - 50*o + d*o. What is 51*b(i) + 6*l(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 5*k**2 + k - 8. Let h be v(-4). Suppose -6*o = -2*o - 12. Solve o = h*z + 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343.8 times 615.4\nAnswer: 211574.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22, -18, -12, -4, 6, 18, 32?\n\"Answer: b**2 + b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9590?\nAnswer: 2, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 55*y**2 + 7 + 12*y**2 + 15*y**2 + 20*y**2 - 20*y**3 in the form s*y**2 + a*y + n + k*y**3 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.636768 rounded to 2 dps?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 212755015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -44*z**2 + 28*z - 28. Let w(n) = 8*n**2 - 5*n + 5. Suppose -142 - 134 = -6*c. Suppose c*u = 37*u + 45. What is u*q(p) + 28*w(p)?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -16*m - 27. Let c(h) = -2*h - 1. Let w(j) = -6*c(j) + d(j). What is the units digit of w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.94861ms to nanoseconds.\nAnswer: 21948610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*d - 150 + 153*d - 131*d)*(-5*d + 0*d + d) to the form o*d + b*d**2 + m and give o.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1765191496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, c: 9}. What is prob of picking 2 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 115 = 2*b, b = -4*f - f + 115. Let m be -4 - 36\/(-6) - f*-1. Suppose c + 4*u = m, -u + 0 = -2. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 407 and 74999?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4 + -0.0649?\nAnswer: 6.3351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 7. Let p be o(7). Suppose w + p = 1. Let q(f) = 4*f - 1. What is the units digit of q(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**3 - 12*f**2 + 44*f - 27. Let w(l) = 2*l**3 - 3*l**2 + 2*l - 2. Give n(x) - 4*w(x).\nAnswer: -2*x**3 + 36*x - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486 = -t + h, -2*h = 2*t - 800 - 164. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - p)*(3*p - p - 4*p) + 2*p**2 + 1 - 1 + 2*p - 2*p + 2*p**2 + 2 + 2*p**2 - 2 - 3*p**2 + 3*p**2 - 3*p**2 + 2*p + 959 - 24039*p**2 - 480 - 479 - 2*p.\nAnswer: -24034*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6876 + 6953. What is the remainder when k is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -349591\/11615 - -3162\/101. Let q = p + -60\/23. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 1\/4, 4, 7, -0.2 in increasing order.\nAnswer: -27, -0.2, 1\/4, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.48335um?\nAnswer: 0.000248335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8e + -3?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1481 divided by -111\nAnswer: 1481\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 1 - (-2 + 0). Differentiate -3*x**3 + 2*x**3 + 0*x**r - x**3 - 1 wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.97 + -16. Let v = k - 0.27. What is the smallest value in -1, v, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585212859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 905595*k**2\/2 + 16300953*k\/2 + 73354653\/2.\nAnswer: -(k - 905613)*(k + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ad (base 15) to base 16.\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let v(c) = -c**3 - 6*c**2 - c + 1. Let n be v(-6). Let a(k) = n + 2*k - 7. Calculate a(j(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + -9 + (27 - -745) is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 21*w**2 - 23*w - 27. Let j be r(-20). Let o be (0 - 2) + (-11)\/(j\/(-438)). Let m = o - 62. 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: What is the next term in 93, 28, -167, -498, -971, -1592, -2367?\nAnswer: -3302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50020036 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-175))\/(((-24)\/(-3))\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 5*o - 31, 32 = -3*s + 5*o + 66 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -1.259?\nAnswer: 2.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 - 9*r**2 + 0*r**2)*(-49*r - 17*r + 35*r) + r**3 + r**3 + 0*r**3 + (r**2 + r - r)*(2*r - 4*r + r).\nAnswer: 404*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 267*q**3 + 17*q**2 + 5*q. Let x(n) = 133*n**3 + 8*n**2 + 3*n. What is 3*p(v) - 5*x(v)?\nAnswer: 136*v**3 + 11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 429864 to the power of 1\/2, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1126886 is divided by 84.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 194\/(-90) - -2*(12 - 936\/80)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i + 2. Let n be k(3). Let u = n + 28. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31538063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -172*-0.94\nAnswer: 161.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from wddwdswd?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - -26. Is 14 a factor of (5\/(-4))\/((-3)\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501300871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48389 and 805123?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q + 73 - 23 = -21*q. Let p = -382\/7 + 55. Which is the nearest to 0.01? (a) p (b) 3\/10 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - h**2 + 2*h + 4. Let z(y) = -2*y - 7. Let a be z(-5). Let r be o(a). Suppose d - 6 = -2. Calculate the highest common divisor of d and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 66*g**2 - 141*g - 330. Calculate x(-68).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 30 + 1655*a**4 + 6*a**2 - 2*a - 836*a**4 - 817*a**4 as v*a**3 + x*a + b*a**4 + w + r*a**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -39500 divided by 2?\nAnswer: -19750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 11 = -3*r, -f - 4*f - 18 = 2*r. Put 5, 4, r in ascending order.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-4) + 2)*0. Let b = m - 4. What is the remainder when 8 is divided by 10\/6*(b - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*r + 9 = 0, o = 2*r + 3 + 3. Factor 1\/4*x**4 + o - 1\/4*x**2 + 0*x - 1\/4*x**3 + 1\/4*x**5.\nAnswer: x**2*(x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*a**2*s*x**2 + 15*a**2*x**3 + 2964*a**2*x + 7028*a*s*x**3 wrt s.\nAnswer: 10*a**2*x**2 + 7028*a*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13146 = -7*g - 13104 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1588.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65974593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1353604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 1234 = -4*n + 270, 0 = -5*n + 3*q + 1884. Let g = n + -374. Factor -g*x + 4\/3 + 3*x**2.\nAnswer: (3*x - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 351767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40409 plus -3.024?\nAnswer: -2.61991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/10, 0.4, 0.1, -1\/2, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 59.1\nAnswer: -41.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 1033*d + 165321. What is c(-198)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 1. Let z(l) = -29 - 32 + 2*l + 59. Let y(r) = -3*r**2 + 14*r - 10. Let d be y(3). What is d*w(x) + 2*z(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkh when three letters picked without replacement from {k: 3, e: 2, h: 3, i: 2, z: 5}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22493110 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -160*m - 9. Let r(w) = -81*w - 5. Calculate -3*d(z) + 5*r(z).\nAnswer: 75*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 - 23*y - 157 - 7.\nAnswer: -23*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2419\/4 - -592. Let t = -17218\/2695 + -6\/539. Calculate the common denominator of v and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y. Suppose 68 = 4*g - y*g. Suppose 215 = -12*t + g*t. Calculate the remainder when t is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 + 3*q**2 - q**2)*(-5*q + 42*q + 45*q) to w*q + u*q**2 + b + p*q**3 and give p.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/14 and -73\/2138.\nAnswer: 14966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -17626 + 28*g**3 - 2*g + 8806 + 2*g**2 + 8818 - 2*g**4 in the form n*g + r*g**3 + o*g**2 + z + x*g**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21219746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05 and 206.15699481421?\nAnswer: 206.20699481421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = -2*k + 2*h, -k = 4*h - 13. Let x(n) = 0 - k*n**2 + n**3 - n - 1 + 4*n. Give x(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 738 - -347. Let s = -4293\/4 + q. Find the common denominator of s and 21\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*s**2 - 32 + 32)*(-4*s + 2*s + 3*s) + (0 + 6 + 5)*(9*s - 9*s + 9*s**3) to the form j + o*s + q*s**2 + i*s**3 and give i.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -36241238 > -36241205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299, 376, 451, 524, 595, 664, 731?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 533982833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 242 + -267.6. Let z = c - 0.4. Let f = 26 + z. Is f greater than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3889 (base 14) in base 2?\nAnswer: 10011011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -1\/15*y**5 + 5*y + 1\/18*y**4 + 1\/45*y**6 + 0 + 0*y**2 + 0*y**3. Factor x(c).\nAnswer: 2*c**2*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0 - 5. Suppose 16 = -v*z - 24. Let n(r) = 6 - 13*r**3 + 2*r + 4*r - 7*r**2 - 12 + 12*r**3. Calculate n(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19251*j**5 + 90552*j**2.\nAnswer: 1155060*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(17)) + -3 + -2 + -1 + sqrt(272).\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 549311 and 4753.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 2466 = -29372. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*p + 24. Suppose 4*n - 4 = 4. Let v be ((-140)\/p)\/(n\/27500). What is v rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3637 * -1.22908\nAnswer: -4470.16396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haf when three letters picked without replacement from hhvvhhhvfqavfvhvvv.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(4\/5)*k**(-4)*k**(-6)\/(k*k\/(k\/k**(4\/3)))*(k*k\/(k\/((k*k**6)\/k))*k*k**11)**32 assuming k is positive.\nAnswer: k**(8947\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(6))**2*-4 + sqrt(550)\/sqrt(2) + (1 + sqrt(396))*2 + ((sqrt(396) - (sqrt(396)*2 + sqrt(396))) + 3)**2.\nAnswer: -55*sqrt(11) + 1551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 204198462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164705776 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 10838?\nAnswer: 140894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00527658 * 0.1.\nAnswer: -0.000527658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.278 - 1\nAnswer: -1.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 3 - 3)*(-1 + 0 + 0) - 3 - 4 + 1)*(-3*i - i + 6*i) in the form m + q*i and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 18\/10?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1274\/455)\/(5\/(25\/(-1))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1095 and 192.\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/4*(-226)\/565?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u - 21 = 3*t, 3*u - t - 13 = 0. Solve -10*k + 11*k = -3*b - 6, -5*b - u*k = 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2621 - 1212 - 1317 - 118*t**4 wrt t.\nAnswer: -472*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 3:58 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 54028662 divided by -9004777\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159647?\nAnswer: 17, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.78761 millennia?\nAnswer: 8787.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.91 - -0.09. Let t = -1.5 - -2. Which is the second smallest value? (a) p (b) t (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2 + 2)*(-2*p + 3*p + 0*p) - 2*p**2 - 2*p**2 - 3*p**2 - 4*p**2 + 0*p**2 + 2*p**2 - 4*p**2 + 0*p**2 - p**2.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 take away -95010.55319?\nAnswer: 94971.55319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4724390 rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + sqrt(120)\/sqrt(250).\nAnswer: 2*sqrt(3)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 601*w**2 + 1911. Let o(z) = 2*z. What is j(o(y))?\nAnswer: 2404*y**2 + 1911","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/(390\/1092)*(-10)\/(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-440)\/330)\/(6\/(-18))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48084\/(-20035))\/(36\/40)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 3. Let z be k(-1). Suppose -4*f = -z*m - 3*m - 315, f = -4*m + 105. What are the prime factors of f?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*f = -2126, 5*l - 7*f = -327 - 5022. Which is the nearest to -1\/2? (a) -1\/6 (b) 1\/2 (c) 2\/7 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 8*z. Suppose -16*d + d = z. Solve 4*y + d = 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 207\/46*20\/6. Which is smaller: 7 or o?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 720 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93\/2 or 48?\nAnswer: 93\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-136)*-6)\/((-36)\/(-576))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 13*s = 2*r - 101, -5*r = s - 11. What is the lowest common multiple of 9 and s?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**23)\/(h*h*h**(1\/8))*(h**7)**(5\/3) assuming h is positive.\nAnswer: h**(805\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 - 24*u + 159. List the prime factors of l(30).\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1693648 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*s - 156*s + 400 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2001419\nAnswer: 3\/2001419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 9424*j**2 - 1628*j**2 - 1567*j**2 as m*j + v + t*j**2 and give t.\nAnswer: 6229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1994351 is divided by 556.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2715349 plus -1?\nAnswer: -2715350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from iifiiiiifiiiif?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r**4 - 2*r + 46*r**4 - 2*r**3 + 29*r**2 - 15*r**4 - 17*r**4 to n + g*r**2 + u*r**3 + s*r**4 + j*r and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z = 4*z + 1080. Suppose 8*y - z*y = -92. Which is the closest to 7? (a) y (b) 1.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 5*x + 4. Let l be f(-5). Suppose -5*c + 114 = -0*s + l*s, 0 = 4*c - 3*s - 85. Are 23 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 12*o - 4*o - 9 + (o + 3*o - 3*o)*(-2 + 6 - 3).\nAnswer: 9*o - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**3 + 3*p**2 + 2*p - 9. Let w(m) = 17*m**3 - 7*m**2 - 5*m + 20. What is -9*n(x) - 4*w(x)?\nAnswer: 13*x**3 + x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -104?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122.2684 - 200451513.\nAnswer: -200451390.7316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -17*n**2 - 25*n + 23. Give r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -41 + (-24)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2314 divided by 43.\nAnswer: -2314\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 42 = -2*g, 3*g - 36 = -5*r - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*t = 121 - 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1986, 13919, 35800, 67629, 109406?\nAnswer: 161131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.060148 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -53183*t + 319229. Determine s(6).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25278, -50557, -75836?\nAnswer: -101115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b**9*b*b*b)))\/b*b*b\/(b*b**(-2\/15)))**28 assuming b is positive.\nAnswer: b**(5516\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445941123.\nAnswer: 3, 47, 3162703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3635)\/(-25) + 3\/5. Calculate the common denominator of f\/(-20)*(-10)\/(-4) and 0 + (-41)\/12 - -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9930 and 6?\nAnswer: 9930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3))**(-21))**(2\/103)\/((n\/n**4*n**(-1))\/((n\/n**(1\/3)*n)\/(n*n*n**(-7)*n*n))) assuming n is positive.\nAnswer: n**(2720\/309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/7*141\/(-141)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3048 - -24387\/8. Suppose 3 = 2*l + 1. Let g be (-4)\/14 + (-68)\/(-140). What is the smallest value in l, -2, n, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(52)\/(-5*sqrt(20)\/sqrt(5)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*d = 79*d - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3323 * -1.1\nAnswer: -3655.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12387989753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-8)*54\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 31. Let p be (-3 - -3)\/(j*-1). Is 49 + (-1 - (1 - p)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 + 16\/(-3). Let k be (f\/(-5))\/((-6)\/(-15)). Solve d = 5*y - 25, -d - d - k*y = -15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1016*h = -1021*h - w + 235, 4*w - 316 = -7*h for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Suppose 5*l + 35 = -2*x + x, 4*l + 12 = 0. Let y = x - -18. Let h(b) = -5*b. What is y*h(f) - 11*c(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/120 + 7*l**5\/60 + 5*l**4\/24 - l**3\/2 + 2*l**2. Suppose 2*r + 2*f = 1 - 3, 3*f - 9 = -r. Calculate i(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*a - 17400. Round a to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 5:35 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 740, -1215, -2, -14, 5, -5.\nAnswer: -1215, -14, -5, -2, 5, 740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.86103 weeks?\nAnswer: 5963950944000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 752 and 216.\nAnswer: 20304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 7:26 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -102012210221?\nAnswer: 102012210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*d**2 - 5*d**2 - 45*d**2 + (1 - 1 - d)*(-2*d + d + 2*d) + 3*d**2 + d**2 - 6*d**2 - 4*d**2 - 3*d**2 + 5*d**2 - 2*d**2 - 2*d**2 + 2*d**2.\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -947 - -1028. Calculate the least common multiple of m and 18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3\/4 - b**2\/4 + 4*b - 5 = 0. What is b?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/8 - 167*r\/8 - 165\/4.\nAnswer: -(r + 2)*(r + 165)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, h: 2}. Give prob of sequence hll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 70236*i - 140475*i + 17 + 70233*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8585*c**2 - 402*c**2 + c**4 + 9530*c**6 - 704*c + 704*c wrt c?\nAnswer: 1143600*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.3, 0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**3 + y**2 + 2*y + 1. Let i be w(-1). Suppose -4*f + i = -5*f. What is the least common multiple of 5 and (-14)\/f + (-2)\/(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * 5.11.\nAnswer: -0.6132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4271*p**2 - 6*p + 5854. Let r(a) = -4270*a**2 - 7*a + 5727. Let z(w) = -7*c(w) + 6*r(w). Find the first derivative of z(b) wrt b.\nAnswer: 8554*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Let r be (2 - 150\/18) + 7. What is the closest to r in -2, f, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(6)*-3*-2)**2 - (((sqrt(190) - (sqrt(190) - sqrt(190)*1)) + sqrt(190))*5)\/sqrt(10).\nAnswer: -10*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12021112200 (base 3) to base 10.\nAnswer: -103914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/9715 or 0?\nAnswer: -16\/9715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 9*g + 197, 5*j = -4*g - 3225 + 3456 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(6912))**2 + -5.\nAnswer: 480*sqrt(3) + 34560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2534 divide 944117237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27708 + 27712. Let y be ((-126)\/35 - -3)\/((-18)\/20). Let k be ((-1)\/5 - 0) + -1. Which is the third smallest value? (a) j (b) y (c) k (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 504.272197 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cddccddccddccd. Give prob of sequence cccc.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -12. Suppose f = 6*f + v*u - 100, 4*f = 3*u + 52. Find the first derivative of 7*c**2 - 16*c - 2 + 0 + f*c wrt c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*((-5)\/(-15) - (-4)\/6). Let x be (-34)\/(-40)*10 + 1\/(-2) + 0. Solve 6 + 3 = 2*n + v*y, -2*y = 2*n - x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 5*b**2 - b**2)*(-2*b**2 - b**2 - 3*b**2) + 11*b**4 + 31*b**3 - 31*b**3.\nAnswer: 35*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-15))\/((-4)\/(-20)). Let k be -2 + ((-1)\/(-5))\/(x\/(-10)). Let t be 1 + (0 - 20\/22). Is k not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) 63\/16 (c) -4 (d) 11.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 + 0.2. Suppose -2*w - 7 + 9 = 0. Let i be (-33)\/90*w + 3\/15. Which is the nearest to 1? (a) i (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 204636*k**3 + 3622693962*k**2 + 4537334478924*k + 1474887073196043.\nAnswer: 3*(k + 663)**2*(k + 33443)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 3*l + 4. Let w(o) = -o**2 - 15*o + 5. Let c be w(-15). Let d(k) = -3*k + 19*k + c*k**2 - 14 - 7 + k**2. Give 2*d(f) + 11*x(f).\nAnswer: f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2)\/(-3) - (-546)\/234 - (-3864 - -11) and 20?\nAnswer: 19280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 727767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) - (594\/(-24))\/(-3). Let t be (-60)\/(-35) - p\/28. Solve 2*g - 4 = -t*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2469 in 2, -4, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 4*z + 4, 0*z = 5*h + 2*z - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 2:19 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74462472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 12, -2\/13, -8, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*t - 171*t = -126. Suppose 3*m + 5*p - t = 0, -16*m + 19*m = p + 8. Sort 5, -2, m, 4.\nAnswer: -2, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.404 - 6.204. Let m = 2 + -1. What is the biggest value in m, 0.07, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Let n be w\/2*4 + -7. Let i(r) = -r**2 - 4*r - 1. Let m(j) = j**2 + 4*j + 1. Let z(v) = -4*i(v) - 5*m(v). Calculate z(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 3*m - 4. Let h be l(-3). Let z(y) = -3*y**2 + 27*y - 69. Let j be z(7). List the prime factors of -7 - j - (-1 + h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 16*v - 4*t - 8, 5*t - 9428 = 4*v - 0*v - 9479 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 40.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 4*k + 0*k)*(-937*k**2 - 4*k**3 + 1631*k**2 + 3*k**3).\nAnswer: -k**4 + 694*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -12. Suppose 4*x = -5*c - 0*x - 61, -4*c + s*x = 54. Let a = c + 32. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 90107.\nAnswer: -27032.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 180 - 192)*(2*k**3 + k**3 - 4*k**3) + (-k + 0*k + 0*k)*(-k**2 + 2*k**2 - 2*k**2) - 2*k**3 + 3*k**3 + k**3.\nAnswer: 404*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -26, -8 in ascending order.\nAnswer: -26, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, p: 1, e: 2, i: 1, o: 2}. What is prob of picking 1 e and 1 o?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3408 - -0.0408. What is the closest to n in -5, 0.02, 2, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1114*r**3 - 38176*r + 355335494?\nAnswer: -3342*r**2 - 38176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -209 - -179. Suppose -2*l + 35 = -l. Let y = l + w. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1226811, 2453613, 3680413, 4907211, 6134007, 7360801?\nAnswer: 8587593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 385681833 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14737, -14736, -14735, -14734, -14733, -14732?\n\"Answer: y - 14738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 12. Suppose 3*p = -w - 18, -3*w + w + 4*p - 6 = 0. Let q be 1\/(-2) - w\/15. Put -1\/3, l, q in increasing order.\nAnswer: l, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - 1. Let v be 6\/18 - (-58)\/(-66). Which is bigger: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1898*d**4 - 20*d**2 + 49*d wrt d.\nAnswer: 45552*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 246262? (a) 6 (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 5*o - 8. What is the least common multiple of 3 and p(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3549 and 8736.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3239665 and 7007.\nAnswer: 158743585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000642174 to 7 decimal places.\nAnswer: 0.0000642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-6))\/((-50)\/300). Solve -g = -r - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 137353, 1098873, 3708727, 8791087, 17170125?\n\"Answer: 137362*j**3 - 5*j**2 + j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3642358, 7284725, 10927100, 14569483, 18211874, 21854273?\nAnswer: 25496680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*g + f, 0 = 28821*g - 28826*g - 6*f - 55 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1158277 divided by -11941.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23 - 0.07. Let g = 156 + -1094\/7. What is the second biggest value in 0.3, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6576, -13152, -19730, -26310, -32892, -39476, -46062?\nAnswer: -52650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 717. Let o(l) = 2*l + 359. What is -3*k(g) - 5*o(g)?\nAnswer: -g + 356","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9098641 - -13.31751.\nAnswer: -9098627.68249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.845 or -92?\nAnswer: -0.845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**5\/240 + a**4\/48 + a**3\/24 + 14*a**2. Factor z(b).\nAnswer: (b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50440, 50454, 50468?\n\"Answer: 14*h + 50426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707489041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -7\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -136, 1511873 in decreasing order.\nAnswer: 1511873, 5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 213\/7, 2, 3\/4, 18, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*f**5 + 11*f**5 + 84*f - 66*f + (-2*f**3 + f**3 + 2*f**3)*(-f**2 + f**2 + 3*f**2) + (-4*f - f + 3*f)*(-3*f**2 - f**4 + 3*f**2).\nAnswer: 4*f**5 + 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -399922 and -399919 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -283*k - 114. Let n(i) = 71*i + 29. Let z(g) = -9*n(g) - 2*y(g). Is z(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -13877*d. Let s(j) = 6742*j**2. Calculate s(r(b)).\nAnswer: 1298314551718*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -2*p + 6*p. Suppose 3*k + 5*u = 12, 0 = -2*k - u + 9 + 6. Calculate the remainder when p is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 - 165*z + 22. Give r(-82).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -746 + 746.5. What is the closest to -95 in -4, -5, 0, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 70. Suppose b - 10 = -5*u - 4*b, 3*b - 16 = -l*u. Suppose -6*a + 2545 = -u*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**32*s**8\/s)**17 assuming s is positive.\nAnswer: s**(-408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 19*j**2 + 11*j + 248. Give a(-19).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - n + (88 + 144 - 41)*(-2*n + 0*n + 0*n))*(9*n + 8*n - 6*n) in the form w + t*n**2 + m*n and give t.\nAnswer: -4213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(((-1203)\/10426)\/(5\/(390\/108)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/18*(0 - 9). List the prime factors of (-3)\/l*(-4 - 70).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/245, -2, -392 in decreasing order.\nAnswer: 2\/245, -2, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16987.48 >= -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 22 = 3*p, -4*t - 2*p - 8 = 2*p. Let g(w) = -4*w**t + w**3 + 1 + 2*w - w**2 - 6*w. Is g(6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (106*z + 369*z**3 - 16 - 109*z - 372*z**3 - 3*z**2)*(0*z + z + z) as k*z + t + j*z**3 + r*z**2 + h*z**4 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2270 is divided by 754.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -117466.\nAnswer: -29\/117466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, -137, -529, -1109, -1889, -2881, -4097?\nAnswer: -5549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 8*l + 59 - 147 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 20\/6*33\/22. Solve q*k = -y + 23, -10 = -3*k - y + 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735262 less than 1735263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2400 = -9373*g + 9298*g for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 129\/(-4) - -2*(-1)\/(-8). Let q be (-244)\/(-10) + h\/80. Let v be (8\/6)\/((-5)\/((-15)\/2)). Solve -3*i - 5*k = q, 4*k + 15 = -v*i + k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/45)\/((-1)\/15). List the prime factors of 1\/l*9 + (-908)\/(-8).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1718*w**2 - 757*w**2 - 3052*w**2 + 1 + w**2 - 1 + (-5 + 3 + 1)*(-5*w**2 - 2*w**2 + 5*w**2) - 3*w**2 + 6*w**2 - 4*w**2 + 0*w + 3 - 2*w + 2*w**2 - 2.\nAnswer: -2087*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97974851.\nAnswer: 13, 7536527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11777\/6)\/((-161)\/1587). Suppose -b - 28296 + 8940 = 0. Let a = b - s. Calculate the common denominator of -47\/18 and a.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1119? (a) 0.2 (b) -2\/9 (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 12. Let k be y(-4). Put 2, k, 1, -1 in descending order.\nAnswer: 2, 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111 - 110 - 6*n**2 + 2*n**3 + 335 - 112 - 4*n**4 + 0*n - n to o*n + s + j*n**4 + z*n**2 + i*n**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = 2. Suppose 3*b - 13 = -2*c, 4*c - 3*b = b - y. Let o = 1 + -1. Solve -c*s + 20 = -4*p, -p = -3*s - o*p + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/110*5\/2. Let f(h) be the first derivative of -2\/9*h**3 + 1\/18*h**6 - 1\/3*h + 2 + 1\/6*h**4 - j*h**2 + 1\/5*h**5. Suppose f(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17731*k**3*q + 2*k**2*q - 53944*q wrt k?\nAnswer: 53193*k**2*q + 4*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.9 + -2.7. What is the second biggest value in p, -1\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432 = 343*z - 327*z for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115183 - 58184. What is the thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250, 1131, 4, -3, -2 in decreasing order.\nAnswer: 1131, 4, -2, -3, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(20\/(-4))\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151 + -154. What are the prime factors of (j\/4)\/(12\/(-4944))?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + b + 5 = -0*b, 5*a - 190*b + 195*b - 5 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*p + 33. Let k = -6 + p. Solve -2*h + 8 = -k*y, -5*h = 3*y - 8*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 242361215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/d*d*d\/(d*d**(-2\/13)))**40 assuming d is positive.\nAnswer: d**(-2520\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45.3079*-0.0391.\nAnswer: 1.77153889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 4*b - 51, 62 = 3*b + 139*p - 135*p for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(425)*1)**2 + -5.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - f = -331, 13*f - 999 = -3*o + 16*f. Solve 0 = -329*y + o*y - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7582 by -14.\nAnswer: -3791\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 904610?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40723*l - 40723*l - 6*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 1418*h**2 + 9 + 1415*h**2 in the form z + j*h + b*h**2 and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s - 3. Give a(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 5*z**2 - 9*z + 5. Let m(x) = -2*x**3 + 8*x**2 + 14*x - 8. Suppose -3*h = 4*g + 44, -4*g - 4*h = 18 + 30. Determine g*u(c) - 5*m(c).\nAnswer: 2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) + sqrt(1400) + sqrt(1400) + -3*sqrt(1400)*4)\/(6*1*sqrt(128)).\nAnswer: -15*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + -0.01. Let a = m - -0.09. Sort a, 0, -2 in decreasing order.\nAnswer: a, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 72 + 66. Find the third derivative of 77*u**g + 752*u - 752*u - 41*u**2 wrt u.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 + -7 - 3) - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-3\/8)*p))\/((((p*p**10)\/p)\/p)\/p))\/(p**(-10)\/p**(4\/11)) assuming p is positive.\nAnswer: p**(87\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34314 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 0 (c) -6 (d) 0.3 (e) -63\/274\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-82*k + 0 + 369*k + 511*k - 160*k + 16)*(2 - k - 2) as q*k**2 + l + z*k and give q.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 26. Let w = g + 2.012. What is w rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17263 and 176875?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/315*12\/2*297\/(-1320)*20?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -27*y + 99. Suppose 5*p + 4841 = 2*u + 30086, -y*u + 15178 = 3*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqimqmqmmqmiiqmqim. What is prob of sequence mqqq?\nAnswer: 49\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/1 - -298) + -32 + 30. Suppose 280*c = v*c - 180. Solve 0 = -c*j + 3*j + 36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*m + 4, 0 = -5*m - 12 + 2. Suppose u + t = 3. Suppose 5*y = -k + 19, 5 = -y - 2*k + 4*k. Solve 2*b - 6*b + y*x = 2, u*b + 4*x = -12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 1:13 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/12)\/((-35)\/(2660\/(-817))). Which is the second biggest value? (a) u (b) 2\/7 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + d**5 + d**4)*(-3 - 2 + 4) - 6*d**5 + 0*d**5 + 4*d**5 + 6*d**5 - d + d + 46*d**5 + 1 - 52*d**4 + 104*d**4 - 54*d**4 - 3*d**3.\nAnswer: 49*d**5 - 2*d**4 - 3*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3429 is divided by 1676.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792743.\nAnswer: 7, 269, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91.5 - 1.185258776.\nAnswer: 90.314741224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 27 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 82. What is the closest to v in -3, 5, -39, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/27 (b) 2438 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = u + 25, 0*u - 9*p - 10 = 2*u + 40 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 195559*o - 782384. Give l(4).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-4)*y**(-2))\/(y\/(y*y\/(y*y**(-1\/3))))**27)**(-5) assuming y is positive.\nAnswer: y**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j + 40. Let u be f(-3). What is the highest common divisor of 3 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10*x**2. Let y(m) = -394*m. Give g(y(l)).\nAnswer: 1552360*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 722 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-84)*4*(-3)\/(-1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3*w)\/w**(2\/17))\/(w**(4\/3))**(3\/43) assuming w is positive.\nAnswer: w**(2770\/731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.012.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.05 + 0.05. Let n = v + 16.9928. Round n to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87347932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -915740 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = n + 5*c + 7, -23 = -4*n - c. Suppose -2*h = h - 2334. Suppose 186 = 5*m + w - 772, -4*m + h = -n*w. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2988 and 5\/1992.\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5704, -38196, 0 in increasing order.\nAnswer: -38196, 0, 5704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**3 + i**2 - i. Let h be m(1). Let p be ((-2)\/10)\/(h\/5). Are p and 8\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 301821320 and 388?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -18. Let r be (1\/(-3) + 0)*-6. What is the first derivative of 0*a + 0*a + 5 + w*a**r - 6*a**2 wrt a?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**8\/2352 + g**7\/490 + g**6\/420 - g**2 + 56*g. Find m such that c(m) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145 - 37 + 52 + 68 + 9*t + 55.\nAnswer: 9*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 8 - 5)*(c**3 + 1 - 1) - 3*c + 3*c - 2*c**3 - 2*c**3 + 0*c + 0*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74.04 and 0.184?\nAnswer: -13.62336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**2 + 15*f + 9. Let s(b) = -5*b**2 - 8*b - 5. Let n(p) = 7*s(p) + 4*x(p). Let d be n(-3). Let o = 9 + d. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p = -10. Suppose 0 + 12 = 3*n. Suppose 6*k = n*o + 7*k - 19, 0 = 5*k - 15. Sort 1, o, -2, p in descending order.\nAnswer: p, o, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 38. Suppose -2 + d = 3*z. Let y be z + 2 + (-8)\/4. Solve -y*s - 5*n + 3 = 9, n - 15 = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31861405 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 2263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 - 142. Solve 6*d = h*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219358753 to the power of 1\/2, to the nearest integer?\nAnswer: 14811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21906 by -7302.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(3) + sqrt(3) + sqrt(6)\/(sqrt(2)*2) + sqrt(3) - sqrt(84)\/sqrt(7)).\nAnswer: 1 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79634 * 0.024.\nAnswer: 1911.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4551 (base 12) in base 8?\nAnswer: 17015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - -120031201?\nAnswer: 120031231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and (0 + 2)\/(0 - (-4)\/8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 7*l**2 + 9*l + 8. Let j be f(-8). Solve 3*h + j*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-35)\/((-2)\/8*(-120)\/(-12))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3311*m = 2616*m - 4865 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*40\/(-150))\/(2\/9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1684313 (base 9) in base 12?\nAnswer: -394956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 + 10*q + (1 - 1 - 1)*(-2*q + 3*q - 3*q).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**4\/4 + m**3\/2 + 3*m**2\/2 - 9*m. Give b(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 22*o + 141. Is 79 a factor of s(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 14 = 4*z, z = -5*h - 5 + 16. Suppose 0 = h*f - 5 - 63. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513 and 2439923.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -28. Let y = 20 - h. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 790*g - 3909. What is b(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3948429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 0*a**2 - 4*a**4)*(1 - 1 + 2*a) - a + a - 2*a**5 + (3*a**2 - 2*a**3 - 3*a**2)*(a**2 - a**2 + a**2) + 2*a**5 - 39*a**5 - 13*a**5.\nAnswer: -62*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1\/53, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/3))**(-22)*k\/(k*k**(-2\/15))*k*k**(-7)*k)\/(k\/(k*k\/k**(-4))*k*k**(-3))**32 assuming k is positive.\nAnswer: k**(2737\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1240.263 grams to milligrams.\nAnswer: 1240263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -22*l**2 - 7*l + 20. Determine q(4).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*n - 16, 5*q + n = -4*n. Let o be -1*((-6)\/3 + q). Let p be 0 + 6\/2*1. Solve y + u = -p*y + 11, o*u = -4*y + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 + 2. Let x be -38 + 22 - ((-1)\/(-2) + (-3)\/(-6)). Let n(l) = 8*l**2 + l + 6. Determine x*u(b) + 6*n(b).\nAnswer: -3*b**2 + 6*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 333 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddmmdwmdmwmdwwmmmmm.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -13*k**2 + 12. What is s(-7)?\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152774458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (0 - 17) - (-1 + -14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26178070, -26177952, -26177832, -26177710, -26177586, -26177460, -26177332?\nAnswer: -26177202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -9*f + 249. Let w = 7.2 - 1.2. Let v = 5 - w. Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-12))**(-14\/13))**41 assuming o is positive.\nAnswer: o**(6888\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (351\/52)\/(2\/8). Let k(i) = -z*i + 41*i - 15*i. Let r(j) = -4*j. Calculate k(r(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pspppspspppppppspp. What is prob of sequence sps?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27383622.\nAnswer: 2, 3, 7, 353, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from bebbfbbfbffbeb.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(704) - sqrt(704)*-2) + -3 + 1 + sqrt(704) + -3 + sqrt(704)*2 + 4 + 5)**2 + 0 + -5.\nAnswer: 576*sqrt(11) + 57035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1107\/82)\/(-9)*2\/(-78).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j - 11. Let z be r(7). Find the second derivative of -51*k**5 + 5 - 14*k - 11*k**5 - z*k**5 + 19*k**5 wrt k.\nAnswer: -2180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25311\/(-6903) - ((-260)\/(-75))\/(-4)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 503 - -2b2?\nAnswer: 7b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12901309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 6*l**2 + 7*l. Let q be m(-7). Let d be 7\/(21\/6)*2. Solve q = d*j - 8*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931024 is divided by 138.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n + 2*n**2 + 14*n to r + u*n + d*n**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, g: 4, z: 1, w: 4, d: 7, m: 2}. What is prob of sequence zggg?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -29392*l + 1028702. Give y(35).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45253 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9772156 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwikllqgwwkglil. Give prob of sequence qkq.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (719\/(-2))\/(16\/(-195232)). Let f(i) = 7021654*i**2 + 4*i - 5. Let k be f(2). Suppose -k = 3*j - w. Round j to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1803 (base 11) to base 3.\nAnswer: 10011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37581911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 2*b**2 - b + 1. Suppose -3*i = -n - 14, 12 = i + 2*i. Let z be d(n). Solve -z*g + 21 = 5*h, -4*g + 12 = h + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 17. Let i be c(13). Suppose 0 = -i*f - 3*f + 168. Calculate the greatest common factor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*y - 957 = -1517 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(81)\/sqrt(48) + 0)**2.\nAnswer: -6*sqrt(3) + 283\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -3, 8264\/5, 1\/3 in descending order.\nAnswer: 8264\/5, 1\/3, -0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*v - 266*v + 407 = 105*o, 72 = -3*v + o for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*h**2*m**2 + 2*h**2*m + 30*h**2 - h*m**2 - 36*h*m - 101*m**2 wrt m.\nAnswer: 38*h**2 - 2*h - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -820688 rounded to the nearest ten thousand?\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 824511 a multiple of 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3669 and 7613.\nAnswer: -27932097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o - 2. Let c be (12\/30)\/(1\/(-5)). Let x be b(c). Let r be (-4)\/x - (-2)\/(-9). Solve 3*p + 0*i + 2*i - 1 = 0, r = 3*p + 3*i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 7628\nAnswer: 1\/3814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -13*r + 23\/21*r**4 + 0 + 16\/21*r**3 - 32\/7*r**2 - 1\/5*r**5 - 2\/15*r**6 - 2\/147*r**7. Suppose m(a) = 0. What is a?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, m: 1, d: 2, i: 9, f: 1}. What is prob of sequence dd?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + u. Let m(y) = -4*y**2 + 4*y + 16. Let k(p) = -5*i(p) + m(p). Let l = -30 + 61. Calculate the remainder when l is divided by k(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1746 and 2188.1035.\nAnswer: 442.1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145148 = 50*x - 40802. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1060839670 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -54.53\nAnswer: -63.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l - 23*l = 364. What is the greatest common divisor of 1404 and l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*r - 4. Let d(w) = 2 - r + 2 - 3*w. Let y be 3\/(2\/(-4) + -1). Give d(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300133003111 (base 4) to base 15\nAnswer: 11b0e51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 542, 541, 540, 539?\n\"Answer: -p + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -41*v - 17. Let n be h(-1). Let j(k) = 2*k - 4. Let y be j(3). Let o = n + y. Calculate the remainder when 50 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 58 - 16. Let p(h) = 14*h - 8*h - 1 - 6 - 4*h. Calculate p(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.159396 and -739318752.\nAnswer: -739318752.159396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 12, o + 4*t = 2452 + 2179. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 7. Let v be k(7). Suppose v = -2*a + 5*a. Solve -4*p + 28 = 4*t - a*p, 8 = 4*p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*o + 3*n, 2*o + 14*n + 14 = 12*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 - -1.2. Let t = 2.5998 - o. What is t rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -20a387?\nAnswer: -20a383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/8 - -37\/56. What is the second smallest value in -1\/5, 3.3, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -10001011100000010110111010?\nAnswer: 10001011100000010110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 144299967 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 156925933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54075.3mg to tonnes.\nAnswer: 0.0000540753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6 - -2) + 151\/14 and 25\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 5694*r**2 - 68452*r + 114120.\nAnswer: (r - 10)*(r - 2)*(r + 5706)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*x - 2*x - 705, 15 = 3*x. What is the highest common divisor of c and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 155, 216, 267, 308, 339, 360?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3639735.\nAnswer: 3, 5, 11, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9140\/200 - 31 - 12\/(-90)*6\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 2)*(-71 + 71 + 21*p)*(-807 + 1422 - 778) in the form u*p + r and give u.\nAnswer: 10269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002824 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 3843*r**5\/20 - 811*r**4\/4 + 4*r - 117. Find the third derivative of z(k) wrt k.\nAnswer: 23058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6977*r = -7195*r + 4796 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -564.315 - -566. Let o = -2.247 - x. Let h = -0.032 - o. Round h to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50088 by 8348.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*d = -3715 - 1949 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + g**2 + 4*g + 0*g**2 - 4*g**2 - 3*g**2 + (-4*g + 2*g + 3*g)*(-3 + 3 + g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, 2, 10, 22, 38?\n\"Answer: 2*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 76.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2. Let c = 5 + -3. Let u(q) = -q**2 + q + 1. Let v(a) = 6*a - 5*a - 4*a**2 + 3 + 2*a. Let y(o) = c*v(o) - 6*u(o). Give b(y(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**8\/1344 + p**7\/56 + p**6\/3 + 13*p**5\/6 + 15*p**4\/2 + 46*p**3\/3 - 2681*p**2. Factor m(f).\nAnswer: -(f - 23)*(f + 2)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4964 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 18*d - 92. Suppose -5*o - 30 + 9 = -c, 4*c = 2*o + 30. Calculate the remainder when 57 is divided by h(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 794564.2kg to milligrams.\nAnswer: 794564200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311251516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8235 + -7940. Calculate the highest common divisor of 10 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (984\/(-36) + 25)*(9 + 6*(-4948)\/3304).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320921 by -1675.\nAnswer: -320921\/1675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 37*f. Calculate the lowest common multiple of 330 and t(25).\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*y - 3*r + 1, y - r = 17. Solve 11*j + y = 6*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/2, -10, -1, -0.5, 8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -191038 + 76966.\nAnswer: -114072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 3:32 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 53 + 80 = 0. Let z be (28 - w)\/(2\/6). Suppose -2*r = 2*f - 308, 0 = 3*f - z*r - 114 - 318. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-9))\/(4\/(-12)). Let i = j - 5. Which is bigger: i or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-1 - -5) - ((-15 - -5) + (0 - -1))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.1, -344, 421\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173 + 242. Suppose -5*m = 3*n - 232, 4*n + 2*m - 231 = r. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1511 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**2 - b + 227. Determine n(0).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.69 minus 1530621977?\nAnswer: -1530622047.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12*t - 84. What is q(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10312427 - 4?\nAnswer: 10312423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/1131 + -373\/2262. Which is the nearest to h? (a) 0.5 (b) 25.7 (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m**3 - 3*m**2 + 2. Let d(f) = -f**3 + f + 5. Let n be d(2). Let k be r(n). Suppose 0 = k*o + 4*p - 4723, 4*p - 3756 = -4*o + 24. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2 = 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2622 and 18032.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1248 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 404932?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 3011534505?\nAnswer: -3011534504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 317381 + 317381.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 711*w - 5 - 1434*w + 723*w + 5 + 212*w**2.\nAnswer: 212*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2 + 56*c - 58. What is v(17)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 4)*(-7 - 40 + 48 - 7*o**2) to the form u*o**2 + n + x*o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 8:38 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40857 divided by 3?\nAnswer: 13619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -287 and 0.0437.\nAnswer: -12.5419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10 - 46*w - 24 + 9. Is 13 a factor of t(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(162)*-6 - (-4 + (sqrt(72) + -1*sqrt(72) + sqrt(72))**2).\nAnswer: -108*sqrt(2) - 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 53261, 97928, 142595, 187262, 231929?\n\"Answer: 44667*n + 8594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 10*b - 2)*(3 - 3 + 8*b).\nAnswer: -80*b**2 - 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57789627?\nAnswer: 3, 7, 2751887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 + l**3 - 3*l**3 - 2*l**3 - 8*l**3 - 2*l**3 + (l + 0*l + l)*(-2*l**2 + 2*l**2 + l**2).\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -29416103.5 rounded to the nearest ten thousand?\nAnswer: -29420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 351 + 378 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 9 (c) -5 (d) -3 (e) -8\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.348 to two decimal places.\nAnswer: 2.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 7*q**3\/6 - 2*q. Let r(l) = -18. Let v(a) = a - 108. Let h(y) = 6*r(y) - v(y). Calculate t(h(d)).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11711 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**3 - j**5 - 5*j**3 + (-j**4 + 2*j**4 + 0*j**4)*(0*j + 0*j + 4*j) - 39*j**4 + 2*j**5 - 7*j**2 + 39*j**4.\nAnswer: 5*j**5 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**11)\/b**(-8)*(b*b**(-1\/19))\/((b*b**(2\/25)*b)\/b) assuming b is positive.\nAnswer: b**(9437\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 + 3*o**2 + 3*o + 2. Let r be s(-2). Let n be (-30)\/r + (-2)\/(-8). Let y(h) = 4*h**2 - 4*h - 4. Does 22 divide y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:37 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + -95 - -46 - (-1 + -19).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 16*j - 6. Let s(m) = -44*m + 480. Let h be s(11). Calculate z(h).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/3? (a) 1 (b) 1\/6 (c) -42 (d) 4.8 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -14. Which is the third smallest value? (a) -3\/4 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2616 + -2615.97087. Round b to four decimal places.\nAnswer: 0.0291","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 23*x**2 - 48*x - 120. Let w be i(-21). Let p be 6\/(-14) - (-341)\/77. Sort 7, p, w in decreasing order.\nAnswer: 7, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4844*h**3 + h**2 - h + 4. Suppose -7*o + 32 = 4*g - 3*o, 0 = -4*g - 3*o + 28. Let z be r(g). What is z rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*sqrt(121)*-2*-3)\/(((sqrt(5500) - (sqrt(5500) - 1*sqrt(5500))) + sqrt(5500) - sqrt(5500))\/(6*-1*sqrt(5))).\nAnswer: 432*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 0*n**2 + 29*n**3 - n**4 - 2*n**2 - 30*n**3 to the form q*n**4 + j + m*n + t*n**2 + w*n**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -957, -1923, -2889, -3855, -4821, -5787?\nAnswer: -6753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/24*4*(-18)\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59165 is divided by 568.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + -35 + 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -6 - (1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87768*z = -87805*z + 999 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)\/(y*y**25*y))**(3\/19) assuming y is positive.\nAnswer: y**(-80\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:58 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 + -117. Let j = p + -176. Let w = -245 - j. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 148 + 45 - 8*f**3 + 53 - 4*f**2.\nAnswer: -8*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5*(sqrt(180) - (-3 + sqrt(180)) - sqrt(180)) - (-1 + (sqrt(180) - (sqrt(180) + -4 - sqrt(180))))))**2*-1*2.\nAnswer: -6642 + 2016*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(19))**2 + -4 + 0 + sqrt(19).\nAnswer: -104 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(23\/(6992\/114))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) -0.3 (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 + 0*u**4 + 3*u**4)*((0*u - 2*u + u)*(-4 - 1 + 3) - 2*u + 3*u + u + (2*u - 9 + 9)*(-3 + 2 - 1) - 2*u - 4*u + 4*u).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-597)\/(-6)*20\/(-2 + -3). Is -403 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t - 3. Let k be n(-2). Suppose 2*l + 206 = k*p, 5*p = -0*l - l + 197. What is the highest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1204, -1199, -1194, -1189, -1184, -1179?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*a + 25 = -59*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 815 less than -0.5?\nAnswer: -815.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -7*o**5\/20 + 19*o**4\/12 + 4387*o**2\/2 + 477*o. Find the first derivative of x(q) wrt q.\nAnswer: -21*q**2 + 38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 8 = -10. Is d bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {g: 4, i: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/11*(-14)\/((-1848)\/(-22))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 294*y + 285*y - 2 in the form k*y + z and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1142327 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - h + 1 = -0*h, -22 = -3*c - 2*h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 8. Let u be (-6)\/27 + (-58)\/(-18). Sort u, 0, r.\nAnswer: r, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1642478 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 + -4 - (-11 - (-23 + -2))) + 16.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*t - 1297 = 12*t + 4058 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teet when four letters picked without replacement from {t: 6, e: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-27))\/(-1 - 0). Let y = 1 + 67. Let o = y + -64. Which is the third biggest value? (a) i (b) 4\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = -2. Suppose 0 = d - 5*j + 7, 0 = -4*d - 5*j + j - 148. Let w = 227\/7 + d. What is the second biggest value in w, x, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.23 and -71.87032.\nAnswer: -16.5301736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + -2 - (2 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4 and -121\/3144.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119734009 and 628?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568 minus -2967?\nAnswer: 5535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72066355, -144132710, -216199065, -288265420, -360331775, -432398130?\nAnswer: -504464485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 11*j. Let r be t(12). Solve -b**4 + 1 - 6*b + 4*b**3 - 10 + 2*b**3 + r*b**2 - 2*b**4 = 0 for b.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270279*s - 19 = 270281*s + 3*b, 3*b = -26 - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -44. Calculate the remainder when 187 is divided by x.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.5 - -51.5. Which is the nearest to g? (a) 0.5 (b) -4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 580, 579, 578?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -274, -343, -406, -457, -490?\n\"Answer: r**3 - 3*r**2 - 67*r - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 15403.867.\nAnswer: 7701.9335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.75628651 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000037436 rounded to 7 decimal places?\nAnswer: -0.0000374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36043007*w**4 + 34491867 wrt w.\nAnswer: 144172028*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 4*x**2 + 3*x - 2. Calculate the smallest common multiple of (-20)\/(-9) + 4\/(-18) and u(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283478, 1133893, 2551250, 4535549, 7086790?\nAnswer: 10204973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28851, -28868, -28887, -28908, -28931?\nAnswer: -28956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105775752*j*o**2 - j*o + 19*j + 18997*o - 1 wrt o.\nAnswer: -211551504*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 34*x**2 + 58*x - 1. Is l(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1379804522 take away -0.05?\nAnswer: 0.1879804522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/(320\/(-24)) - 2589\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i + 67. Let s be b(-16). Suppose s*d = k + 17, -d + 3*k - k = -14. Put -2, 1, d, 5 in decreasing order.\nAnswer: 5, d, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 at least -586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnlsnnldn. Give prob of picking 2 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - 2*u + 3*u + 2)*(-8*u**3 - 12*u**3 + 28*u**3) to the form q*u + x*u**2 + y*u**3 + g*u**4 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -5*l + 27, -6*m - 7 = -4*m - 5*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times 99\nAnswer: -13.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 c when three letters picked without replacement from ceccfecncnccwccc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 21*n + 16*n)*(0 - 2 + 0) + 5*n + n - 4*n + 5 - 2 + 3*n - 5.\nAnswer: -59*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -22. Let r be b\/(-2) - 7\/2. What is the common denominator of 8\/7 and ((-31)\/r)\/((-63)\/(-45))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 14 + 23 = 0. Let y be (l - (-7)\/(-2))\/((-1)\/2). Is y less than or equal to 100\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 9:32 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242650 is divided by 60592.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.442 or -262.38?\nAnswer: 0.442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -213.7 times 828?\nAnswer: -176943.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f = 20*f + 170. Suppose 13*w - 10*w = -273. Let h = w - f. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from {e: 2, g: 2, c: 1, u: 1, d: 1, f: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147440 and 5432.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -56. Suppose -w = -2*q - 3*q + z, 5*w = 5*q - 180. Let p = -17 - w. Solve 0 = -4*u + 3*m + 5, -u - 5*m = 4*u - p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1)\/((-5)\/(-10)). Let k(t) = 6*t**2 - 3*t + 3. Let s = -214 + 243. Let c(w) = 24*w**2 + 0 - 2 + 0 + 2*w - s*w**2. Give m*k(o) + 3*c(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*k**5 + 157*k**4 + 6*k**3 - 14765619*k wrt k.\nAnswer: -440*k**3 + 1884*k**2 + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/7)*m*m)**(2\/5)*(m*m\/(m*(m\/(m\/((m*m\/m**(-6\/7)*m)\/m)))\/m))\/m**4 assuming m is positive.\nAnswer: m**(-132\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 12:58 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09426589 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5442 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 26*d + 31*d = 29, -20 = 3*k + 4*d. Sort 5, -4, 0, -5, k.\nAnswer: k, -5, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**4\/24 - 5*p**3\/6 + p**2. Let a be 14*4\/8 + -3. Suppose 10*b + 36 = a*b. Determine z(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36538575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.052 and 0.22?\nAnswer: -0.01144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160155.\nAnswer: 3, 5, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + 36 + -22 + -37.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 2084?\nAnswer: 21\/2084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + l + 3734, 5*g + 762 = 6*g - 4*l. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.176026 litres to millilitres.\nAnswer: 5176.026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-154) - (4\/22)\/(-1). Solve -3*p - l - 6 = m, 0 = -5*p - l - 7 - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 317 - 627\/2. Sort 4, u, 1\/6, 0.5 in increasing order.\nAnswer: 1\/6, 0.5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 11684922.\nAnswer: 11684922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6103 - 9.499836?\nAnswer: -8.889536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 1, -1.01, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/670 and -17\/810.\nAnswer: 54270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4604 = -4*m - 2*n, 4*m - 3*n - 4631 = -37. What is the tens digit of m\/6 - (-26)\/(-39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**24*h\/h**(13\/3))**(5\/18))**(-48))**(-14) assuming h is positive.\nAnswer: h**(-42560\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3744)\/27)\/13*-6. Suppose -o - 14 = -2*o. Suppose -b = -5*z - o. What is the least common multiple of 50 and z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by ((-26)\/(-1))\/(11\/(1309\/34)).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 573 = 4159. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/18)\/((-2487)\/(-492426)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d - 14*d - 33*d - 29*d**2 + 86*d + 32*d**2.\nAnswer: 3*d**2 + 22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 2. Let a = 16 - 11. Let x be m(a). What is the greatest common factor of x and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w**2 - 4*w - 280. Let q(z) = -6*z**2 + 3*z + 283. Give 4*q(c) + 3*t(c).\nAnswer: -3*c**2 + 292","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1367711 (base 8) to base 2\nAnswer: 1011110111111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/13*-12)\/((-36)\/(-81)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 8*i**6\/25 - 324*i**5\/25 - 483*i**4\/8 - 539*i**3\/5 + 7*i**2 + 21*i + 2. Factor f(b).\nAnswer: 3*(b - 22)*(8*b + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 27. Let f(z) = -4*z**3 - z**2. Let x be f(1). Let g = x + q. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.72 + -16.72. Which is the third smallest value? (a) -0.4 (b) i (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**4\/5 + 210894*g**3\/5 + 4940683524*g**2\/5 + 7709435370696*g - 618020508656256\/5 = 0?\nAnswer: -23438, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 5*v - 420*z + 422*z, v + 5*z - 38 = 0 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 258, 1821, 6044, 14259, 27798, 47993, 76176, 113679?\n\"Answer: 222*r**3 - 2*r**2 + 15*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211 - -10001232?\nAnswer: 10003103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42584 + -42586. Let f(h) = h**3 - 2*h**2 - h + 1. Let n be f(1). Which is the closest to 0? (a) n (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 6. Let j(a) = 1. What is -i(k) - 6*j(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 + -299. Let h = g + 424. Calculate the greatest common divisor of 155 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t - 9. Let g(c) = 15*c - 17. Let o(u) = 3*g(u) - 5*l(u). Let k be o(9). Calculate the highest common divisor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f**3 - 2*f**2 + 24*f + 25. Let y be r(16). Differentiate 24 - 14*o**4 - 36*o**4 - y*o**2 + 32665*o**2 wrt o.\nAnswer: -200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1547*b + 143. Give u(0).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6964200151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2621 - 121544.74?\nAnswer: -124165.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119*t + 72*t + 4*t**2 + t**2 - 300*t + 15*t**4 + 2*t**2 wrt t?\nAnswer: 180*t**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1162 or -1?\nAnswer: 1\/1162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 7*i = -12. Suppose -4*t + 276 = y, 3*y - 259 = -i*t - 43. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -983\/1813 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (6 - 2)) + (-7 + 3 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 21*n**2 - 11*n - 12. Let q be h(-10). Let r = -7426\/539 - -152\/11. What is the third smallest value in -1\/6, q, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2207, -7474, -16261, -28574, -44419, -63802, -86729?\n\"Answer: -t**3 - 1754*t**2 + 2*t - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 13 = -5*z, -3*m - m = z - 14. Do 15\/7 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 4:17 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2360 + 2733. Calculate the remainder when q is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 7:54 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/(-12))\/(-17)*7938\/(-81)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 + 1.49. Let r = -2.4 + q. Put 1, r, -0.4 in increasing order.\nAnswer: r, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) -0.1 (b) 0.18 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2102682 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Suppose -w*f + 14 = -26. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350579200.\nAnswer: 2, 5, 52757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 1, w: 1, y: 1, u: 2, x: 1}. Give prob of picking 1 i, 1 x, and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + b**2 - 4*b**2)*(8 - 3 + 16)*(3 + 9 - 5 - 2).\nAnswer: -210*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000001 + 1010?\nAnswer: 11001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 16\/175*i**7 - 9\/25*i**6 + 0 + 0*i**3 + 16\/25*i**5 - 2\/5*i**4 + 21*i**2 - 1\/112*i**8 + 0*i. Factor v(g).\nAnswer: -3*g*(g - 2)**3*(5*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -3*x**2\/2 - 1. Let z(g) = -74*g + 208*g - 67*g - 68*g. Determine z(a(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1083930*k**2. Let s(h) = 2*h + 207. Determine s(l(v)).\nAnswer: 2167860*v**2 + 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4550209, -9100417, -13650625, -18200833, -22751041, -27301249?\n\"Answer: -4550208*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**3\/3 + 5*b**2\/2 - 12*b + 4. Let z be o(-7). Suppose 0 = -2*f - z*f. Solve f = 2*a - 4*p + 5 + 5, 4*a - 19 = -5*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.54 * 0.3\nAnswer: 0.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.4 (c) -14 (d) 3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 3) in base 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 8:35 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 - (12 + (-16 - -3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3568136940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/80 of a day?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 112213675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 5. Let y be ((-1 - 1) + -4)*(-10)\/(-15). Give s(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6) + (-15)\/(-6). What is the remainder when 50 is divided by (2 - (-2)\/w)*(-57)\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46462 or 46382?\nAnswer: 46382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**8\/1120 + w**7\/560 - w**6\/80 - w**5\/80 + w**4\/8 + w**3\/2 + 4*w**2. Let i(u) be the first derivative of p(u). Factor i(m).\nAnswer: 3*(m - 1)**2*(m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*h*m**3 - 111*h + 2*m**3 wrt m.\nAnswer: 33*h*m**2 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - ((-136)\/456*-27 + -6)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.93 - 0.07. Let j = 33 + -34.02. Let z = 0.02 + j. Which is the closest to z? (a) t (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*g - 1221 + 1310 = 0, 0 = 2*f + 5*g - 34. Solve c = 5*x - 29, 2*c + 5*x + 10 = f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/9, -365, -4, 5?\nAnswer: -365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(1308 - 1308 + 16*n)*(-5 + 2 + 4)*((2*n - 2*n - 4*n)*(-10*n + 10*n + 5*n**2) + 0*n - n**3 + 0*n).\nAnswer: -336*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*x - 24, 546*u + 3*x = 550*u + 36. Suppose -3*k - d - 4 = -5, -3*d = -3. Is u equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.51 + -3.41. Let s = 0.16 - -3.94. Let l = -1.1 + s. Which is the nearest to g? (a) -3 (b) -1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 1445 = k. Let n = k + 582. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 69150*x\/7 + 69164.\nAnswer: -2*(x - 34582)*(x + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11394)\/(-2321))\/(20\/(-110)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -499, -3771, -12647, -29929, -58419, -100919?\nAnswer: -160231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 3. Let u = 3 + x. Let s be (3 - 3)*(1 + u). Solve s = -w + 3 - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 19, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 7:59 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 - (-1 - -9) - (159 + 2). Is -158 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 496, 996, 1496, 1996, 2496, 2996?\n\"Answer: 500*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -22. Let g(f) be the first derivative of -f**4\/4 + 7*f - 3. Calculate the remainder when o is divided by g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -108 - -111. Let c(t) be the second derivative of -2*t + 0 + 0*t**2 - 1\/12*t**4 + 0*t**h. Let a(i) = -7*i**2. Calculate c(a(q)).\nAnswer: -49*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.647493ml in litres?\nAnswer: 0.006647493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21630 + -1735. Does 28 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/(-9) + 4\/6. Suppose t + 2*b = 15, -2*t = -h*t - 4*b + 21. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144379548971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 - 637*s**2 + 61 + 26*s + 636*s**2 as t + h*s**2 + z*s and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -17. Solve 0*y = -2*y - b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31130323 (base 4) in base 7?\nAnswer: 316432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 67 = c. What is the smallest common multiple of 2010 and c?\nAnswer: 10050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + 0.11. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + v + 4. Let s be r(3). Let u(c) = c - 12. Let m be u(s). Suppose -m*o - 32 = -208. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*u**3*y - 2*u**2*y + 3*u*y**2 - 6859*y**2 with respect to u.\nAnswer: -156*u**2*y - 4*u*y + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2936 + -0.3. What is z rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6 + 8. Suppose -4*o = -11*o + v. Is ((-7)\/o)\/(4\/(-136)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**4\/4 - 8*k**3\/3 - 8*k**2 - 6808. Calculate j(9).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-22) + 74\/(-8)*(-920)\/(-253)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226 and 14803.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 349 - 364. Let z be (3\/(a - -3))\/((-3)\/(-8)). Let w = -8 - -7. What is the nearest to 4 in z, w, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 169*c - 12. Let n(l) = -2 - 3 - 36 + 4*l. Let s be n(12). Is b(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -u - 9, 17906*u - g = 17891*u + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -11315228?\nAnswer: 11315230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5083*i + 564. Is g(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(49)\/(-1*sqrt(7))).\nAnswer: 8 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 + 5.98. Let k = z + -5. Let j = -1 + k. Which is the closest to 3? (a) -0.2 (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12225 and 1973025.\nAnswer: 321603075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(19 + 115\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.64 to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*l = 18, 5*u - 5*l - 16 - 14 = 0. Solve -g - 6 = -u*w, 0*w - 2 = -2*w - g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -123096*v + 861799. What is z(7)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = j + 6*k - k, -4*k - 12 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8967 and 46599?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 40*x**2. Let m(y) = -6*y**2. What is c(m(j))?\nAnswer: 1440*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 34. Let h = 22 - v. Let z(j) = -7*j + j**2 + h*j + 6 - 3 - 4*j**2. Calculate z(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335*t**2 - 1 - 15*t**2 + 114*t**2 - 6807*t.\nAnswer: 434*t**2 - 6807*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3613 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8533003 is divided by 1132?\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 - (-1)\/(-2)*0 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 11*k**2 + 13*k - 10. Let y be u(12). What is the closest to y in -4, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 6*s - 3*s - 11*s - 3 - 13 to u + k*s and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1 + 1795*g - 1 - 1801*g. Let a(q) = q**2 + 13*q - 1. Let l(i) = 3*a(i) + 7*x(i). Let o be l(-2). What is the highest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011884 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 982231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 0*m**3 - m**3)*(-1 - 1 + 4)*(9 - 3 + 0).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.262 - -30.462. Let f = g + -200.2. Let o = f + 170.000824. What is o rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 5:24 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22704.8 times -107?\nAnswer: 2429413.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-271)\/(2*(-4)\/(-80)) + 0. What is j rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/42*16\/(720\/189)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5 + 8\/15*x + 2\/15*x**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17491 or -17492?\nAnswer: -17491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -56*w - 2810. Calculate s(-52).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73924 bigger than 73865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**6\/15 - h**3 - 2*h**2 + 9*h. Let m(k) be the first derivative of d(k). What is the first derivative of m(i) wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 365*l + 15919. What is the remainder when i(50) is divided by (-5)\/((-25)\/2)*40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 99214 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 91 = -10*l. Let z be (-2)\/l + 16\/104. Suppose -4*k + c + 1181 = z, 0*c = 2*k - 2*c - 592. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvvyyvhyhyajyvy. What is prob of picking 1 a, 1 j, and 2 v?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22342 divided by 9\nAnswer: 22342\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2. Let k(a) be the second derivative of a**3\/6 - 27*a**2\/2 + 2*a + 238. Determine g(k(u)).\nAnswer: 4*u**2 - 216*u + 2916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 21*z**2 - 4*z + 3. Let u(v) = -68*v**2 + 10*v - 10. Determine -14*n(o) - 4*u(o).\nAnswer: -22*o**2 + 16*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 3, a: 5, x: 2, m: 6}. What is prob of sequence xmj?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*2\/3*-723. Let w be d\/(-90) + (-6)\/(-27). Let b = -22 - w. Is -1 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12865 and 332?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/57 (b) -19 (c) 0.2 (d) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 6. Suppose 0 = 4*v + v - 10. Find the second derivative of i*m**4 + m**4 - 2*m**4 + v*m wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 1596?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 128591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 2*u. Let l(s) = 4 - 8 + 3. Give -k(w) + 2*l(w).\nAnswer: w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-6\/7))\/h)\/h**(-1))**49 assuming h is positive.\nAnswer: h**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/((-6)\/16). Let b(r) = 4 - n - r. Let y(l) be the second derivative of -l**4\/12 - 2*l. Calculate b(y(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83953503?\nAnswer: 3, 863, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 386*p - 196*p - 8 - 194*p.\nAnswer: -4*p - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33304.\nAnswer: 2, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -2.2, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86870023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.937 - 0.063. What is the closest to 10 in 10, -2, t, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 18. Let r be n(9). Solve r = -4*k - 14 + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1229032 and 27\/51640?\nAnswer: 6145160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**7\/1050 + z**6\/100 - z**5\/25 + z**4\/12 - z**3\/10 + z**2. Factor k(p).\nAnswer: -(p - 3)*(p - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9537, -38149, -85843, -152625, -238501, -343477, -467559?\n\"Answer: -v**3 - 9535*v**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 229 + -232 - (-5 - -1 - (0 + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*i - 8*i**2 - 25*i to the form y*i + u + z*i**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 + -9 + 67 + -50?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (373 + 5*r - 373)*(-2 + 4*r + 2) + r**2 + 0*r + 0*r.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 9 - (-22 + 14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -30. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -68*h - 295 - 93 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoakkkkkokokok. Give prob of picking 1 k and 2 a.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1587055972?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -4. What are the prime factors of -2 + h + (-29)\/(-1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((0 - (-2 - 0)) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -67, -145, -273, -463, -727, -1077?\nAnswer: -1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 90)\/(20\/(-30)). Calculate the greatest common factor of 12 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -27. Let f(q) = -q**3 + 14*q**2 + 16*q - 1. Let o be f(15). Is j <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/6 and 19\/15579417.\nAnswer: 31158834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252.6 + -74.4. Let i = d + 321. Let z = 4.08 + -0.08. Which is the third biggest value? (a) -4 (b) z (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 170, 696, 1572, 2798, 4374, 6300, 8576?\n\"Answer: 175*p**2 + p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3836 plus 12.71850886?\nAnswer: 3848.71850886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/10)*n**(2\/11)*(n**(-2\/7))**(1\/6)*(n\/((n*n*n\/n**(2\/5)*n*n)\/n))**(-5\/4)*(((n**(-3\/5)\/n)\/n)\/n)\/n**(1\/13) assuming n is positive.\nAnswer: n**(437\/60060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z + 51*z - 30*z = 407 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -7*a + 2*a. Let u = -0.2 - -0.5. Let f = u - -0.7. What is the biggest value in -4\/3, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 + 11 + 5*n**2 + 4 - 7*n - 7*n**2. Calculate the remainder when 112 is divided by i(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929506 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*g**4 + 15*g**3 + 4*g**2 - 2*g**4 + 25*g**2 - 4*g**2 wrt g?\nAnswer: -48*g + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*d - 3*d = 2175, -z + 3*d + 552 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x + 18 - 870*x**2 + 741*x**2 - 16 - 3*x in the form a + d*x**2 + o*x and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194705677 to the nearest integer?\nAnswer: 13954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlleksk. Give prob of sequence ks.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1444 and 1520?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*n + 7 + 31, -3*c + 69 = -3*n. Let w = c + -24. Solve -o - w = 4*j, -j - 2 = -o + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(225*w - 1187*w - 1909*w) + 3*w - 2*w + w.\nAnswer: -2869*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592*s + 581*s = -33. Let w(z) = z + 3*z**2 - 112 + 115 - z**3 - 3*z**2 + z**2. What is w(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44184 divided by -3682\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1666 - 160. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/12 - 3)\/((-4)\/(-1290)). Let a = -309 - x. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + -24?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 80017038 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 58 + 82. Suppose -3*m = -m - q. Suppose -5*n + d + 46 + 66 = 0, -2*n + 50 = -3*d. Calculate the least common multiple of m and n.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + sqrt(147)*6 + 1*(-1 + sqrt(108)).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 433, 866, 1299?\nAnswer: 1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12954\/5 less than or equal to 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f = 129*f - 873 - 675. Calculate the greatest common divisor of 1686 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 701. Let r = m - 485. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 900 divided by -123\nAnswer: -300\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122 - -143. Suppose 2*b - 5*u = 11, 5*u - 4 = 4*b - m. Solve 0 = -2*r - b*r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 128 = -0*v - 3*m, -2*m = 4*v - 124. Let g = v - 24. What is the derivative of -27 - 3 - 8*k + g + 30*k wrt k?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 805743 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 0*n**2 + 0*n**3 + 0*n**4 - 1\/150*n**6 - 177*n + 0 + 9\/100*n**5. Suppose i(y) = 0. What is y?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7526 take away 4?\nAnswer: -7530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-4) + -4)\/2. Solve -3*y + 3*t = -q - 6, -3 = -4*y - t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-75))\/(52\/(-585))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/5 + -197\/40. Let p = -8 - 7. Calculate the common denominator of (p\/42 - 1)\/1 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1079730 and -53\/129.\nAnswer: 1079730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18836143 to the power of 1\/2, to the nearest integer?\nAnswer: 4340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45119 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, 1, -1784?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -0.5, 264\/7, -1\/5, 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 482?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - d + 1. Let v(w) = -w - 3. Let t(k) = 1. Let z(s) = -t(s) - v(s). Let o be z(-3). Determine b(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -619, -870, -1121, -1372, -1623, -1874?\n\"Answer: -251*l - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22948489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrxxlccylrxclyccxx. Give prob of picking 2 x and 1 r.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/6436575 and -27\/7437820.\nAnswer: 334701900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*c + 22. Let m = -20 + 33. Suppose -2*w = -5*u + 14, 0 = u - 0*w + 3*w - m. What is the remainder when c is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30266194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1545 - 1546. Let p = -5.1 - -1.1. Let u = 3.8 + p. Which is the closest to u? (a) -0.4 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2\/5 + 44*x\/5 - 224\/5 = 0.\nAnswer: 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g + g**2 - 2*g**2 - 2 + 3. Let f be k(-2). List the prime factors of (-12)\/f + (-2)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 + -125.9999874. Round u to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 20 - -11 - (-129)\/18?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 26391*t\/2 + 52781\/4.\nAnswer: (t - 52781)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let o = 0 + 5. Suppose 4*d + o = 1, -z*i = d - 15. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 10, -2*z + 5*m + 65 = -32. Suppose y - 2 = 3*q + 21, 3*y = q + z. Let d(v) = v**3. Let s be d(0). Solve 4*h + s - y = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 4*b**2 - 10*b + 8. Let f be a(6). Suppose -l = -4*q + f, 3*q + l - 15 = -l. What are the prime factors of (6 + q)*(0 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 360851006 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2168\/3 + (-10)\/15 + 1. Let m = w + -142430\/197. Let u be (53\/106)\/(1\/(1*-2)). Is m smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*q + 2. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5*k = 0. Suppose 4*n - 1276 = -k*n. Suppose -2*m + 5*m + 4*p = n, 2*p + 549 = 5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*a + 589, 5*a - 1525 = -5*z + 7*a. Let l = 622 + z. What are the prime factors of l?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 1 = -79 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1818)\/126*14\/48 and 47\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 510762*b - 6267385 with respect to b.\nAnswer: 510762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 + 108\/30. Suppose 0*x = -o*x + 12. Let r(y) = 2*y**3 - 4*y**2. What are the prime factors of r(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*y + 8 = -25, 4*y + 42 = 5*s. Let c = -10.0584 - -0.0584. Which is greater: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1030*w - 119. Let v(o) = -516*o - 48. Give -2*l(u) + 5*v(u).\nAnswer: -520*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1887)\/(-6) - 7\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8 - 3*n + 14*n + 8*n - 6*n. Suppose 5*f = -5*q - 20, -5*q + 5 = -f + 1. Let z be c(f). Round z to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5173 - -2?\nAnswer: a5175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 651582 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 443986 - 244133. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*u + 3*u. Suppose 3*n - 12 = 2*n - 3*p, 3*n = u*p - 20. Let d be (n - (2 + 0))\/9. Which is the nearest to -1\/4? (a) 0.1 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -351142 (base 7) to base 6\nAnswer: -1202544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3004 and 93494.\nAnswer: 140427988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 25*o**2 + 22*o + 51. Let z be k(24). Which is the third biggest value? (a) 0 (b) 0.1 (c) z (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14609\/8 - -1829. Let y = 418 - 9201\/22. What is the common denominator of y and c?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 195 = -3*f. Let z = 40 - f. Suppose -5*n - 4*x = -25, n - 4 = -4*x + 1. What is the biggest value in z, -2\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {h: 3, x: 2, q: 3, k: 2, d: 1, i: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n - 86 - 29*n**2 + 25*n**2 + n. Let d(x) = -9*x**2 - 5*x - 170. Let k(o) = -6*d(o) + 11*s(o). Differentiate k(w) wrt w.\nAnswer: 20*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4216 = -4200 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/(-108))\/(-4))\/(1\/2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b - 60*b - 51*b - 8*b + 37*b.\nAnswer: -137*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -523*t**8\/168 - t**5\/60 + 15*t**3\/2 - 22*t**2 - 3. What is the third derivative of j(f) wrt f?\nAnswer: -62760*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1949982 rounded to 4 dps?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 2\/5, -1.32, 1\/5, -31?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -540501 divided by -863\nAnswer: 540501\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 546, 2206, 4974, 8850, 13834, 19926?\n\"Answer: 554*i**2 - 2*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 441271037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -16, 0, -0.5, 0.1, 64?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 - 537*l**2 + 1057*l + 309. What is v(177)?\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*u - 21*a, -2*a - 3781 + 3669 = -18*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*y - 102 = 0, -d - 3*y = 3 + 14. Let k = 24 + d. Suppose s - 4 = -k. Solve 3*o = -s*o - 2*w - 14, -14 = 5*o + w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1 + sqrt(605))*-4)**2 + sqrt(605).\nAnswer: 363*sqrt(5) + 9701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**6\/120 - c**5\/20 - c**4\/12 + c**3 + 6*c**2. What is the remainder when i(5) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -228, -241, -280, -357, -484, -673, -936, -1285?\n\"Answer: -2*q**3 - q**2 + 4*q - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b7 + 1?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116579.\nAnswer: 116579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 + i**2 - 2*i - 2. Let b(l) = 416*l**3 + 104*l**2 - 208*l - 208. What is -5*b(y) + 520*v(y)?\nAnswer: -520*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2. Let x(i) = 25*i**2 - 5*i. Let c(z) = -12*z**2 + 3*z. Let g(b) = 5*c(b) + 3*x(b). Give g(p(s)).\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57646 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12*o - 106. Let p be m(-9). Solve 1 = p*z + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285 + -263 + 0 + -10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/2)\/(1448\/2172).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 4. Let w be (5\/(-10))\/(1\/(-12)). Let t = -1 + w. Let x(r) = -5*r - 6. Let a = 4669 - 4661. What is a*q(o) + t*x(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let h = 0 + w. Let a = -27767\/152779 - 1\/13889. Which is smaller: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 62672 = 230680. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l - 4. Let s(r) = 19*r + 15. Give -6*s(m) - 22*y(m).\nAnswer: -4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 7. Let h = 45704826 + -247491633542\/5415. Let c = 2\/361 + h. What is the smallest value in c, d, -6, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3070*b + 8. Let u(q) = -55250*q + 143. Give 143*d(a) - 8*u(a).\nAnswer: 2990*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/33 (b) -0.05 (c) 5 (d) 0.3 (e) 1\/5 (f) 9\/40 (g) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47687925 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1579*t + 3*t**3 - 316*t + 417*t.\nAnswer: 3*t**3 - 1478*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -311890*p**4 + 138*p**3 - 124210640*p**2.\nAnswer: -7485360*p + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((289\/(-204))\/17)\/(2\/4).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-4)\/30)\/((-120)\/3300)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 5*w**2 - 9*w + 1. Calculate i(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 6*v - 18. What is u(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2020?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/4 - f**3\/6 + 53*f**2 + 15*f - 1. What is the derivative of d(m) wrt m?\nAnswer: 6*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 182*g**2 + 41*g - 48. Let c(n) = 61*n**2 + 14*n - 16. Let y(o) = -17*c(o) + 6*j(o). Is y(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1211210 + 1003230?\nAnswer: -201320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 4 (c) 5351 (d) 2.2 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24 + -21)*(1\/1 + 2). Solve -3 = 5*d + z - 0*z, h = -2*d - 3*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -141, -3, -1, -234?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*o + 21*o + 31*o as w + i*o and give i.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 8. Let k be z(5). Suppose 2*f = 2*x - 146, -5*x - k*f = 2*f - 365. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*t**2 - 16*t**2 + 23*t**2)*(-t**3 + 11*t**3 + 7*t**3).\nAnswer: -1683*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (4\/6 + 272\/51)*1 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -23*g - 117. Let s be c(-6). Suppose -18*u = -s*u + 756. Is u a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-32)*44\/110.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fhufffhx?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4039777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 178236045 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - d + 8, -3*d = 3*v - 0 - 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {c: 1, m: 2, h: 2, w: 1, g: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t = 2. Let y be (t + -2)\/(-2 + 0). Calculate the highest common factor of 10 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4212221 (base 5) to base 14\nAnswer: -1b578","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and (2 - 30\/(-3))*5\/10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/5))**(6\/13))**31*c**(-2\/7)\/c*c\/((c*c*c\/(c\/(c\/c**(-1\/4)))*c)\/c)*((c**(-2)\/c)\/c)**(1\/19) assuming c is positive.\nAnswer: c**(167311\/34580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 35*y**2 + 50*y + 80.\nAnswer: -5*(y - 2)*(y + 1)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.101 - 5.101. Let x = 10.16 + s. Let i = x + -6.2. Round i to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 210.4 + -210. Put -5\/2, 2, -2\/17, b in descending order.\nAnswer: 2, b, -2\/17, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -312 - -282. Let j be 24\/y - 24\/(-5). Factor 0 + 0*t - 3\/8*t**j + 0*t**3 + 3\/8*t**2.\nAnswer: -3*t**2*(t - 1)*(t + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a factor of 27276480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**5\/60 - r**2\/2 + 2*r. Let n(o) be the first derivative of m(o). Let q(z) = z. Calculate q(n(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -115*m + 59*m + 458. Which is the nearest to -1? (a) m (b) -1 (c) -1\/7 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/60 + 5*z**4\/24 + z**3\/2 - 3*z**2. Let a(b) be the first derivative of y(b). Is a(-11) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 - 5) + 6 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**5 + 0*d**5 - d**5 + (2*d - 3*d + 0*d)*(-4*d**4 + 13*d**4 + 2*d**4)*(5 - 22 + 126).\nAnswer: -1197*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/(b\/(b**(-1\/4)\/b*b)))\/((b*(b\/(b\/(b\/((b\/b**(2\/9))\/b))))\/b*b)\/b)**(-3\/28) assuming b is positive.\nAnswer: b**(247\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 1:46 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2057241 is divided by 8327.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 29. Let s(z) be the second derivative of z**3 - 3\/2*z**2 + 3\/4*z**4 + 1\/20*z**5 + 0 - 16*z. Determine s(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 91\/26 + 2\/(-4). Let w = -3 + u. Solve 0 = -w*k + 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 6 = 22. Suppose 2*y - o = s*o + 50, -4*y = -4*o - 124. Suppose -13*w**2 + 26*w**3 + 73*w - y*w - 36*w - 15*w**4 = 0. What is w?\nAnswer: 0, 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6410, 1 in descending order.\nAnswer: 1, -3, -6410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p - 6*p - 4*p**2. Let t(m) = m - 2*m + 2*m. Calculate f(t(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/93 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*q - 10 + 48, -i = 2*q - 16. Suppose 10*k - 20 = q*k. Let b be (7 - 124\/k)\/((-2)\/(-5)). Solve 2*h = -b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 - (-74 + 16) - -131 - (-10 - -1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 57, 63, 69, 75?\n\"Answer: 6*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4110593*u. Let f(m) = 35*m**2. Calculate o(f(b)).\nAnswer: 143870755*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21543 - 129257\/6. Let m(c) be the second derivative of 1\/12*c**4 + 0 - 10*c - 1\/60*c**5 + h*c**2 - 1\/6*c**3. Factor m(u).\nAnswer: -(u - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 10 - 11)*(-894*s - 49741 + 49741).\nAnswer: 12516*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -186933?\nAnswer: 186933.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yayyriayyiniiipynan. What is prob of sequence payn?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) 3 (b) 2\/33 (c) 4 (d) -3\/13 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 38*w**2. Let f(h) = -186434*h. Calculate f(j(z)).\nAnswer: -7084492*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and 0.1506?\nAnswer: 5.1204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**2 - 10. Let f be (-3)\/((-1)\/(-2)*1). Let r(p) be the third derivative of 2*p**5\/15 - 11*p**3\/6 + 21*p**2 + p - 3. What is f*c(k) + 5*r(k)?\nAnswer: -2*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -97853496 to the nearest ten thousand.\nAnswer: -97850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t + 12 = 0. Suppose 3*d - 5*r = -8*r - 3, -33 = 5*d - 2*r. Put -0.3, t, d, -2 in descending order.\nAnswer: t, -0.3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -9. Let s = -2.7 - p. What is the closest to 0.1 in s, 3, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4000) - -3*sqrt(4000)*-2) + -3*sqrt(4000)*-2)\/(4*(sqrt(800) + ((5*sqrt(800)*-3 - sqrt(800)) + sqrt(800) - sqrt(800)))).\nAnswer: -sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 22\/4)*-2. Let u = -3 + q. Calculate the least common multiple of 9 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-12)*j**(1\/17))\/((j\/(j*j**(1\/2)))\/j)**(3\/4) assuming j is positive.\nAnswer: j**(-1335\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/50764 and 81\/36260?\nAnswer: 253820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183 and 5530809?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46527, -46526, -46529, -46536, -46547, -46562, -46581?\nAnswer: -46604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690890.\nAnswer: 2, 5, 59, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrd when three letters picked without replacement from rdhdrrrhrdhrrrrhrrd?\nAnswer: 88\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.237 and 6?\nAnswer: 4.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 16*t**2 - 7*t - 10. Suppose z + 12 + 5 = 2*k, 3*z + 36 = 3*k. Let w(f) = 5*f**2 + 2*f + 3. Give z*w(j) - 2*p(j).\nAnswer: 2*j**3 - 3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, 6, 39, 94, 177, 294, 451?\n\"Answer: c**3 + 2*c**2 + 4*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 - v**4 - 4*v**4 - 2*v**4 - 2 + 2 + (v + 2*v - 4*v)*(0*v**3 + v**3 + 0*v**3) + 3*v**4 - 6*v**4 + 2*v**4 + 3*v**4 - v**4 - 3*v**4.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**3 + i**2 + 2*i + 9. Let z(k) = 9*k**3 + k**2 + 3*k + 10. Give 3*y(a) - 2*z(a).\nAnswer: -3*a**3 + a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/173 and -43\/4844.\nAnswer: 4844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 283943.5 kilograms in grams?\nAnswer: 283943500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5670 by -315.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmfrq. Give prob of sequence fb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -1 (c) 11 (d) -10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/56)\/((-585)\/312).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1460, 8249, 19556, 35375, 55700, 80525, 109844?\nAnswer: 143651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2082547 divided by -56.\nAnswer: 2082547\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -107, -210, -355?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 8*z - 6. Let u be o(7). Let t = u - -12. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80826308 by -20206577.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(-8)*k)\/k)\/((k\/((k**(-2)\/k)\/k))\/k*k))**(18\/7) assuming k is positive.\nAnswer: k**(-198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 4*x)*(5 - 36 + 4 + (34 - 17 + 14)*(-1 + 4 + 0)).\nAnswer: 198*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h - 28*h + 12 = 0, 2*g - 14 = 3*h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 91.51117 millilitres?\nAnswer: 0.09151117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -2*i**3\/3 + 43*i - 240. Let k(v) = v. Give z(k(h)).\nAnswer: -2*h**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {g: 2, t: 2, d: 1, n: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 19*n. Let d(t) = -20*t. Let j(c) = -2*d(c) - 3*w(c). Let i(s) = s**2 + 3*s. Determine i(j(m)).\nAnswer: 289*m**2 - 51*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7173, 7182, 7203, 7242, 7305, 7398, 7527, 7698?\n\"Answer: s**3 + 2*s + 7170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11023.5 + 11023. Sort -0.6, b, -0.1, 0.2, -2\/41.\nAnswer: -0.6, b, -0.1, -2\/41, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - (sqrt(1573) + sqrt(1573) + sqrt(1573)*-2 + -2) - sqrt(1573)) + sqrt(26)\/(sqrt(4)\/sqrt(18)))**2.\nAnswer: 12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 1 + (5 - 0). Suppose 0 = -w*q + 3*q - 3*o + 14, -6 = -3*q - 3*o. Let v = -6 - q. Sort v, -7, 1\/4 in descending order.\nAnswer: 1\/4, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 5:31 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 0.60313.\nAnswer: -15.39687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1 - -5 - 9) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1)\/(g*g**(2\/5)*g))**(-1\/4) assuming g is positive.\nAnswer: g**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**4\/72 + 184*y**3\/9 - 33856*y**2\/3 - 6*y + 98. Determine z, given that m(z) = 0.\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 3, o: 11, t: 5}. What is prob of sequence nw?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79853, 79878, 79903?\nAnswer: 79928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 317997 and 794.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5040) - -4*(sqrt(5040) - (sqrt(5040) - (sqrt(5040)*2 - sqrt(5040))))) + (-2*sqrt(5040)*-6 - sqrt(5040) - sqrt(5040)))\/(6*sqrt(448)*1*2).\nAnswer: 15*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 - 32 + 5*c)*(1 - 2 + 4)*(-7 - 6 + 6) as f*c + x and give f.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37167674267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -658, -4, -86108, 3, 5 in ascending order.\nAnswer: -86108, -658, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 594555?\nAnswer: 1189110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) + (-84)\/(-10). Let y(j) be the first derivative of j**4\/4 - 7*j**3\/3 - 3*j**2 - 10*j + 4. List the prime factors of y(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**7\/42 - 32*q**6\/15 + 37*q**5\/10 + 149*q**4\/3 + 719*q**3\/6 + 130*q**2 - 1521*q. Find w, given that i(w) = 0.\nAnswer: -65, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29058 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1 - -10) + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*16*(-57)\/116280?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*a + 261 = 328*a. Solve 4*f = 3*j + f + a, -5 = 5*j - 3*f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 203*j**2 + 13 - 11 - 2*j**3 - 8*j - 9 + 111*j**2 - 13*j wrt j?\nAnswer: -12*j + 628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35964382.\nAnswer: 2, 17982191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4730 by -43.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1836 - 222161\/121. Find the common denominator of x and -73\/33.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3227014*n**3 + 133662941*n**2.\nAnswer: 19362084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**2 - 60 + 0*b**2 + 56 + (-2 + 4 + 4)*(-5*b**2 + b**2 + 2*b**2).\nAnswer: -17*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 14*i + 36. Suppose i - 6 = -3*t. Is t > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.1 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227896316 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -13*n**3 + 11*n**2 + 32*n + 204. What is the tens digit of j(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8791291 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17754 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45698\/(-18780))\/((-2)\/60).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.3 - -6.26. Let u = 0.04 + 0. Let q = u + x. Which is the biggest value? (a) 0.9 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2. Let n = 9 - 0. Suppose -30 = -n*i + 4*i. What is the lowest common multiple of i and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 7:48 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 - 17*a + 13. Is f(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 103 - 7?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3260 - 27*a + 1633 + 1629 - a**4 to the form i + y*a**2 + j*a**3 + s*a + q*a**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 4*w**2 - 36*w - 73. Calculate t(-9).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62080?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 6 = -4*t - 3*q, 8 = 3*t + 2*q. Suppose 2*w = t*r + 290, -607 = -4*w + 3*r - 17. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 4*c - 119. Let u be p(10). Solve 21 = -5*n - 2*h + u, -20 = -5*n - 4*h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4776255664 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*o + 7 = l, l - 4*o = 8. Let x(y) = 5*y + 1. Let k(p) = 6*p + 2. Let n(h) = 4*k(h) - 5*x(h). What is the units digit of n(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 - 2*x**2 + 2*x - 1. Let r be o(1). Let d be r\/(-15) + 174\/15. Suppose d*p**4 + 9*p**3 + 4*p**5 - p**2 + p**2 = 0. Calculate p.\nAnswer: -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1675 - 1673. Solve -v*u - 4*k - 13 = -5*k, 7 = 2*u + 3*k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -x + 2*x + 4, -2*x = 8. Suppose -15*p + 10*p + 15 = m. Suppose -p*t + c + 2 = 2*c, -3*t - 23 = -4*c. Let d(u) = -7*u - 2. Calculate d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20505199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 30 - 16 - j + 14*j**2 + j**3 - 3*j. Let q be i(-12). Suppose 0 = -3*z + 4*z - 2, 5*b + 5*z = q. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/5 + 14*k**4\/5 - 12*k**3\/5 - 68*k**2\/5 + 106*k\/5 - 42\/5.\nAnswer: 2*(k - 1)**3*(k + 3)*(k + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**4\/6 - y**3\/2 + 2*y**2 + y. Let t(g) = 10 + 5 - 2*g - 27 + 3*g + 11. Give 3*t(r) + v(r).\nAnswer: 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = -4*t - 2, 3*t + 11 = 5*l. Suppose -2*b - 6 + 8 = 0. What is the remainder when b is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/((-14)\/21). Put -3, -5, h in descending order.\nAnswer: h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -541758, -2167023, -4875798, -8668083, -13543878, -19503183?\n\"Answer: -541755*a**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*x - 884, 1494 = 5*z - x + 3*x. Suppose 0*o = 2*o - z. Let a = 212 - o. What is a rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 17*u - 1 - u**4 + u**2 + u**3 - 13*u to p*u + w*u**2 + q + j*u**4 + c*u**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*a + 36*a + 37*a as g*a + b and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1517403 and 6426.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39185100.39 + -2.\nAnswer: 39185098.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -60\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*k**3 + 2 - 373*k**3 - 2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34048)\/51471 + (-4)\/18*-3. Do r and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 99*i**2 - 455*i + 81. Calculate s(-94).\nAnswer: -1329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158*c**3 + 2*c**2 - 34?\nAnswer: -948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 - ((-20 - (-26 + -16)) + 7).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -145*l + 7590. Determine w(52).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -371380*m - 2971059. What is p(-8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 14*u + 28 - 68. Suppose j + 0*j = 3. Let s be (-3)\/9*j*-5. Put u, s, -5 in decreasing order.\nAnswer: s, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 0)*(-1 + 0). Let v(f) = f**2 + 0*f + l - 3*f + f + 9*f**2. What is v(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -0.04 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/(-18))\/(5\/(900\/40))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -10 - 6 - (-1 + -17)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -10744*o**2 + 4543*o - 24. Let p(d) = -42975*d**2 + 18172*d - 90. Let a(u) = 4*p(u) - 15*t(u). What is the second derivative of a(y) wrt y?\nAnswer: -21480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-2)\/30)\/((-77)\/11396*-370)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - ((sqrt(252) + sqrt(252)*-1 - sqrt(252))*-2 + sqrt(252) + sqrt(252)))\/(5*(sqrt(1089)*2 + sqrt(1089))) + 2.\nAnswer: -2*sqrt(7)\/55 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*((y\/(y**(-1)*y*y*y*y))\/y)\/y))\/(y**(2\/9)\/y))\/(y\/(y**(1\/9)\/y)*y*y**(-2)\/y*y) assuming y is positive.\nAnswer: y**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, f: 1, e: 3, j: 4, q: 5, c: 1}. Give prob of picking 3 j and 1 f.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2528? (a) -4 (b) 5 (c) -9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4776*l**4 + 1719*l**3 + 807171*l**2 - 290511*l - 4563 = 0.\nAnswer: -13, -3\/199, 3\/8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = -6*z - 11*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2130*f**2 - f - 2. Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21228 - 2?\nAnswer: -21231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2880323 and -43\/24076?\nAnswer: 149776796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -49\/11*b**2 + 119 - 46\/33*b**3 - 50\/11*b + 1\/22*b**4. Factor f(j).\nAnswer: 2*(j - 25)*(j + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2880)*-3 - sqrt(2880))\/sqrt(10).\nAnswer: 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2826, -2810, -2780, -2736, -2678, -2606?\nAnswer: -2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1249.06*-13\nAnswer: -16237.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101472 and 2478?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u. Let p(d) = -112*d**2 - 6598*d + 596. Let s be p(-59). Let a(l) = -2*l - 2*l + 3*l. What is s*h(x) + 39*a(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-10))\/1)\/((1044\/9744)\/((-18)\/(-28))).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 468, 2, 14928 in descending order.\nAnswer: 14928, 468, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 400?\nAnswer: -3fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 11757.36?\nAnswer: -11757.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*s - 31. Let o be 2\/s - (-30084)\/156. Suppose 1 - o = -4*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 2448, 8172, 19298, 37626, 64956, 103088, 153822?\nAnswer: 218958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 24*r - 14. Let b(u) = 28 - 4*u - u + 26 - 51. Calculate -14*b(h) - 3*c(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (0 - 12))\/(10*3\/(-106)).\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - -22. Let s be (-6)\/(-2) + -2 + 4. Suppose -j = -s*n - 13. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + -3 + 3*((sqrt(208) + 5*(sqrt(208) - (sqrt(208) - (sqrt(208) + -1))) - (sqrt(208) + (2*sqrt(208) - sqrt(208))*-6 - sqrt(208))) + 4)**2.\nAnswer: -288*sqrt(13) + 89855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 15) to base 4\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03456 + -0.5.\nAnswer: -0.53456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20880272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (15 - -40) + 26 + -55\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1217.8 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346 = 147*z - 2992 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, 371.7 in increasing order.\nAnswer: 0.4, 3, 371.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 10 = 4*b. Suppose 2 = -2*y - 2. Is b at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*z + 1, -4*a + a + 3*z = -3. Let t(m) = 3*m + m + 19 - 3*m - 20. What is the remainder when t(10) is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 7*v + 4*w = -32, 2*w - 20 = -5*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m**4 - 2*m + 2*m)*(7*m + 11*m - 15*m) - 2*m**4 + m**5 + 2*m**4.\nAnswer: -41*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 29 - 10 - 2*k - 13 + 118*k**2.\nAnswer: 118*k**2 - 2*k - 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9180\/(-72))\/51*2836\/(-10). Are 3542\/5 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36568544527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 61 = 2*b, -3*b - 3*c = -27 - 12. Suppose -24*j = -33*j + b. Solve 0 = -4*g + h, -j*g - 3*g - 13 = 2*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286065\/11 at most 26006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 73276349 divided by -7?\nAnswer: -73276349\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63323 is divided by 123?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358116219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2809?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53628821.\nAnswer: 61, 373, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77052.85 days in seconds?\nAnswer: 6657366240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -344, 3, 1, 25, 5 in decreasing order.\nAnswer: 25, 5, 3, 1, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9165*l = 4068*l - 2438*l - 3934*l - 286725 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 + n**2 + 2*n**2 + n**2 - 1 + n**3. Let m(a) = -a**3 - 1. Let k(h) = -h. Let y be k(-1). Give y*b(o) - m(o).\nAnswer: 2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, -1147, 12 in descending order.\nAnswer: 12, -5, -11, -1147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**5\/60 + d**4\/24 + 5*d**3\/6 - 5*d**2 + 1. Let i be b(0). Solve z + i = 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t. Let g(f) = -f**2 - 1290046. Give c(g(s)).\nAnswer: 2*s**2 + 2580092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - r**2 + 0*r**2)*(0 + 1 - 3) - 7*r**2 - 5*r + 4*r**2 + 2*r**2.\nAnswer: -5*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 4:34 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -6\/847 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10 + 2603\/685?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlrfefew. Give prob of picking 1 l and 1 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*y + m, -2*m - 8 = 4*y - 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10784358 a multiple of 2711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4 - 2.5. Let b = a + 1.26. Let f = b - 0.1599974. What is f rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2735 = -11*n - 2526. Solve -8 = -n*y + 15*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 4:16 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 2*s = -124. Suppose -4*v + s = 3. Suppose -2*k = -k - v. What is the highest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2440.1 or 27838?\nAnswer: 2440.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*g - 2*g = 0. Suppose -2*m - 10 = -3*b, 4*b - 5 + 0 = m. Solve b = -w - 4*x, 2*x = -w - g*x - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -8 - 3. Suppose l - 1 - n = 0. What is the least common multiple of 8 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 - 3*s**2 - 3575 + 3575.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.23886515 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18 - (-5)\/((-25)\/15). Solve -3*b = 3*d + 15, 6*b - 3*d + x = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 119049.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*n - 3484 + 592 = 2123 for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587674247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/4 (b) 0.5 (c) -378\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 2*q + 2*q)*(4*q - 2*q + q) + (2296*q - 2245*q + 3498*q + 9889*q)*(2*q - 2*q - q).\nAnswer: -13441*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) 8 (c) 3\/119 (d) -7\/5 (e) 0 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 3, 0.2, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-4) + 1556\/16. Let u = 769 + h. What are the prime factors of u?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by 59.\nAnswer: -115\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 339957467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Let k = 5.7 + -6. Let z = k + 0.3. Which is the closest to z? (a) 3 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68973 divided by -249\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 118*u + 238. Give q(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and 2414.\nAnswer: 2414.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - y - 1. Let c(u) = 7*u**2 - 9*u. Let a(t) = -c(t) + 6*l(t). Let g be a(5). Calculate the remainder when 35 is divided by ((-27)\/2)\/(12\/g).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 * 2.08.\nAnswer: -0.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.97 - 0.03. Let n = 7 + q. Suppose 0 = -6*f + 11*f + 5. Sort f, n, 0.5.\nAnswer: f, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12610, -25221, -37832, -50443, -63054, -75665?\nAnswer: -88276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 236128, 472261, 708394, 944527, 1180660?\n\"Answer: 236133*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141447*f**3*p**2 - 5*f**2*p**2 + f**2*p + 701*f**2 + 2*f*p wrt f?\nAnswer: 848682*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2736) + sqrt(152)\/sqrt(72) + -5 + -1 + sqrt(114)\/sqrt(6) + sqrt(19))**2.\nAnswer: -602*sqrt(19)\/3 + 35572\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4\/7 - 1892*o**3\/7 + 5748*o**2\/7 + 17028*o\/7 - 7344 = 0. What is o?\nAnswer: -476, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 660\/2261 - 2\/323. Which is smaller: h or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from mymydygmgymmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -3*o + 4*h - 10, 5*o - 4*h = -13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -513 divided by -141674?\nAnswer: 513\/141674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/2 of a hour?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6516521 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 12487, -170, -3\/8 in decreasing order.\nAnswer: 12487, -3\/8, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1184080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**3 - 3*c**2 + 4*c + 5. Let y(g) = -7*g**3 - 5*g**2 + 7*g + 9. Suppose 7 = 2*d - 1. Suppose z + d*z + 15 = 0. Determine z*y(a) + 5*v(a).\nAnswer: a**3 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 + g**3 - 3*g**3 + (10 + 1 - 5)*(4 - 3*g**3 - 4).\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 294 (b) 100 (c) -3 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622793 is divided by 3082.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1876)\/(-24) + 1\/(-6) + 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -36783.764?\nAnswer: -36783.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**2 + 7*s + 3. Calculate the remainder when 69 is divided by l(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 806 and 5616.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**3 - 9*o**2 + 7*o - 5. Is l(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.5, 0.1, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 2) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/15 + 234\/15. Suppose -2*r = -4*m + n, 3*m = m - 2*r + 8. Suppose 0*q + 24 = 2*y + m*q, -2*q = -10. Solve -5*f = -25, -2*v + 0*f = -2*f + y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + -185?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-140))\/((-2)\/(-56)*2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2703 is divided by 245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 z when three letters picked without replacement from {z: 1, d: 6, c: 10}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffxk when four letters picked without replacement from xfxxkxffkx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 4*i**2 + 3*i - 1. Let d be t(2). Calculate the remainder when 43 is divided by d\/(21\/(-9) + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 19, -2, 5 in decreasing order.\nAnswer: 19, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - (4 + -25 + 41)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q**3 - 6*q**2. Let m(k) = -6*k**3 + 5*k**2. Let c = -11 - -15. Suppose -c*b - 5*j + 1 = 0, -b - j = -5*j - 16. What is b*m(r) + 3*u(r)?\nAnswer: -3*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.60566 from -0.096.\nAnswer: -2.70166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 365 - 1327 = 0. Let y = o - 3664\/13. What is the second smallest value in 3, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69700.35 rounded to the nearest one hundred?\nAnswer: 69700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 438424839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 22*a - 184. Does 32 divide c(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 246.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18058 - 1?\nAnswer: 18057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(1\/1)*2\/(-4). Which is the closest to -2? (a) 5 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*a + 112*a - 16 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -622 - -633. Suppose 4716 - 19 = z*u. What is the highest common factor of 183 and u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.44 - 0.16. Let l = -4 - t. Let k = 0.6 - 0.2. Which is the smallest value? (a) l (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -18 - 25 - -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - a - 3, 2*a + 7 = 5*t - 5. Let f be 14\/2*t\/7. Let q be 2\/3 - 10\/15. Solve 5*n + 3*h + 3 = q, -2 = 3*n + f*h - 0*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5177)\/835 + 8 + 0\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 408 and 4085728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 32*o**2 - 34*o - 40. Let l be h(-31). Solve -44*w = -211 - l for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = 29 - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162036 and 847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) - (1 + sqrt(147) + -4 + sqrt(147)) - sqrt(147)) + sqrt(147) + (0 + sqrt(147) + sqrt(147))*5)*2 + sqrt(147)*-2*-3*1*4)**2.\nAnswer: 3528*sqrt(3) + 259344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5960 - -6710. What is the remainder when r is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(1 + (-194)\/(-4)). Suppose -8*p = -5*p - s. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7410 divided by -10\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/2906 greater than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*(25\/(-20))\/((-450)\/48)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119913.1 + -125777. What is g rounded to the nearest one hundred?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39572.046 + 39613. Let c = 0.046 + z. Which is smaller: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c + 3. Is 2 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70756056 by 51912.\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.55 - 0.05. Let x = 149\/12 - 43\/4. Put -4, q, 0.2, x in increasing order.\nAnswer: -4, 0.2, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19721332 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -5*p**4\/24 - 17*p**3\/6 - 4054*p**2. What is f(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 5*s + 3*y + 254, 4*y = -5*s + 658. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 6*j**2 - 5*j + 17. Calculate u(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*q - y - 2*y, -4*q + 2*y + 16 = 0. Differentiate 5*r**3 - 4*r**3 - 17 + 11 + q*r**3 with respect to r.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) -4 (c) 0 (d) -0.1 (e) 5\/143 (f) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 4*p + 62, 124*z - 18 = 123*z + p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9902*y**2 + 9902*y**2 - y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 minus 1766357819008?\nAnswer: -1766357819008.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 10 - 7)*(0*p**4 + 2*p**4 - p**4) + 5*p**2 + 3*p**4 - 5*p**2 in the form v + r*p + y*p**3 + k*p**4 + o*p**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**5 - 220*l**4 - 1710*l**3 + 36100*l**2 + 445835*l.\nAnswer: -5*l*(l - 13)*(l + 19)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d = -2. Let w be (d + 13)\/(6\/(-9)). What is the units digit of (-120)\/w*(-6)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 43 = 3*x, -4*b - 34 = -4*x - 14 - 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538060109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -146 - -133.675. Let b = -0.175 + u. Round b to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42102366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 6646196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/21, -78, 0.5, 2\/36965?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-98) + 72362\/(-18277). What is the third smallest value in p, -15, 1\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71281799830 to the nearest 1000000.\nAnswer: 71282000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -8*c**6\/3 - 36*c**5\/5 + 2*c**4 + 12*c**3 + 4*c**2 - 21. Let q(n) = 0. Calculate n.\nAnswer: -2, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9028, 9027, 9026, 9025, 9024?\n\"Answer: -h + 9029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13030 by 1.\nAnswer: 13030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 7*j**2 - 3*j - 3. Calculate i(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2557396159?\nAnswer: 2557396159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2 - 98*p + 2020. Determine q(-47).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -675 - -636.3. Let o = a + 35. Let r = o + 2.42. What is r rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/105105 and 241\/5130510.\nAnswer: 466876410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 54*d**2 + 427*d - 2. Give b(-61).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 39.032. Let g = x - -26.068. What is g rounded to 0 dps?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/75 and -24\/2045?\nAnswer: 30675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -228636162*f*n + 17287684*n wrt f?\nAnswer: -228636162*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1911, -1671, -1031, 207, 2241, 5269?\n\"Answer: 33*r**3 + 2*r**2 + 3*r - 1949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 241*x - 1. Let v be i(1). Suppose -4*t + 7*t = d - 110, -2*d - 4*t + v = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -5 (c) 1 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13762, -13757, -13752?\nAnswer: -13747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(3\/(-3 + 6)). Let p = d + -5. Let n be (2 + p)*(-1)\/2. Does n = 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25686190 is divided by 196.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 7) to base 4.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 64\/10 - 6\/15. Suppose -s + 1 = 2*w - 0*s, -w + 5*s = -28. Suppose 3*i - 9 = w. What is the highest common factor of f and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2 + 6 - 25*r - 6*r - 3. Let j be l(-3). Suppose -2 = -2*c + j. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 4*a**2 - 1 + 7 - 7*a - 9*a**2 + a**3. Calculate p(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11005*x. Let z(q) = -111*q**2. Determine z(b(j)).\nAnswer: -13443212775*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - 1.3. Let w = -1.5 - z. Which is the closest to 2? (a) w (b) -1 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(544)*-1)\/sqrt(2))**2.\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*y + 2 + 4*y)*(-8*y + 4*y + 24*y).\nAnswer: 40*y**2 + 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.5 - -0.5. Let k = 0.865 - -1.135. Which is the second smallest value? (a) k (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132718773 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, l: 13}. Give prob of sequence lo.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + -3 + 4)*0. Suppose z*w = 4*w - 56. Let r(c) = c**3 - 30*c**2 - 4*c - 8. Let u be r(w). Round u to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 55*o + 3*o + 0*o + 14 - 65*o. Give l(11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 - -26.75?\nAnswer: -133.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54977509.\nAnswer: 54977509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 319908031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5483487164 to the nearest integer?\nAnswer: 74051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/4 + 21951*a**3\/4 - 164721*a**2\/2 + 263608*a + 351456 = 0. Calculate a.\nAnswer: -21966, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 39*o**2 - 43*o + 153. Give z(-38).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(99) + sqrt(99)*-1*-2 + sqrt(99))*6)\/((sqrt(90)\/sqrt(20))\/(-6*sqrt(2)*-2)).\nAnswer: 1152*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*m + 8*m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-1 - (-2 - 0)) - (99 + -313 - -169)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5))**(2\/53) assuming n is positive.\nAnswer: n**(4\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2 + 11*a + 1 + 4 - 3. Let k(u) = 19*u**2. Give k(s(d)).\nAnswer: 2299*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**7*r)\/r)\/(r*r*r**(2\/11))*r**(-2)\/(r**(-10)*r*r))**11 assuming r is positive.\nAnswer: r**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h - 1. Let g(d) = 2*d**3 - d - 1. Suppose 0 = 27*s - 22*s - 115. Suppose s*a = 4*a - 57. Determine a*f(y) + 3*g(y).\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 4*s**3 - 17*s**3 + 12*s**3 + s**2 - 3 + 3*s**3 to m*s**3 + h*s + l*s**2 + v and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1071166*g**2 - 419537*g + 2 wrt g.\nAnswer: -2142332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -229 - -5?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67.3 - 67.4. Which is the closest to g? (a) -1\/4 (b) -7 (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 + -15)*(1287\/(-6))\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10027821 is divided by 566?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 1. Let d be m(4). Suppose d = -5*n + 15. Find the second derivative of 3*i**n - 4*i**2 + 7*i**2 + 2*i - i wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*b**4 + 3731*b**3 + b*i**2 - 990714*i**2 wrt b?\nAnswer: 32*b**3 + 11193*b**2 + i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/(-50) - (-7233)\/15?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 2*k + 2. Let p be i(-4). Let d = p + -5. Let h(w) = -5 + w + d + w. Let l(b) = -3*b**2. Give l(h(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**5\/3 - 932*l**4\/3 + 9608*l**3\/3 - 9064*l**2 + 2004*l + 14580 = 0?\nAnswer: -243, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 3\/7 (b) -3\/8 (c) -0.04 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 5*k)*(-4*k**2 + k**2 + 2*k**2) - 5*k**3 + 1 - 1.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 + 1. Suppose 14*j = 15*j - 2. What is the remainder when h(j) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.386 (b) 13\/2 (c) -4 (d) -0.3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 62702 = 5*a + 1581, 3*a - 36663 = -x. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 0.6, -3, 17190\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119 + 186. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 2*b**2 - 2*b**2)*(-7 - 14*b + 7).\nAnswer: -42*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 + 12*v + 18. Suppose 0 = -f - 2*j + 5, 3*j - 3 = 2*j. Let m(z) = -z**2. Let d(r) = f*t(r) - 3*m(r). Suppose d(w) = 0. What is w?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f - 37 + 309. Let c be (-85)\/f*8\/50*-20. Sort c, 2, 1.\nAnswer: 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1703*c**5 - 4*c - 119 wrt c.\nAnswer: 34060*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1204340*i**2*p - 82*i**2 - 26*i*p + i - 966*p + 148 wrt i?\nAnswer: 2408680*p - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 354691618 to the power of 1\/2, to the nearest integer?\nAnswer: 18833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1145*l - 604*l - 603*l.\nAnswer: -62*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*j = -10 + 72, -5*a + 3*j = 64. Let g(o) = o**2 - 2*o + 2. Let p be g(2). Suppose -p*f - m = -5*m + 22, 5*f + m = 0. Which is greater: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {s: 2, m: 1, y: 3, c: 3, d: 1, r: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/378 - (-40)\/18)*(-1)\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 381 - 386. Let y = 5.3 + -4.8. Let t be ((-2)\/(-7))\/(8\/14). What is the nearest to t in n, y, -0.03?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 440. Calculate b(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.123 - 11.823. Which is the fourth smallest value? (a) 0.1 (b) g (c) -2\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5446615 divided by -1.\nAnswer: 5446615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d = 5*s + 1115, 3*d + s = 653. Which is bigger: 222 or d?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/7)\/m**(1\/3)*((m\/m**2)\/m)**(-48) assuming m is positive.\nAnswer: m**(2015\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6094 - -6150. Solve -44*d = -x*d + 36 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miz when three letters picked without replacement from {z: 4, m: 2, i: 2, v: 5}.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.215374 less than 111751?\nAnswer: 111750.784626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 8 = d + q, -3*d = 5*q - 30. Solve d*z + 3*c + 5 = 30, -5*z - 2*c = -20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/9)\/c)**(7\/10))**(3\/4) assuming c is positive.\nAnswer: c**(-77\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -15 + 13 - 10 + 163*h + 27. What is the units digit of u(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4182069 is divided by 163?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 20*i - 17. Let v be x(-16). Let k be ((-8)\/20)\/(1\/((-5)\/v)). Suppose 0*m = -3*m. Which is smaller: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89814421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431 (base 8) to base 15.\nAnswer: 13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -96091260 rounded to the nearest 10000?\nAnswer: -96090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5914 = -8*o + 862. Do 850 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 207 + -22. Suppose -3*y + y = p + 6, 0 = 2*p + y. Suppose p*g - 43 = j. What are the prime factors of g?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 156 = -11*q. Let x(l) = -9*l + 155 + 13*l - q. Let p(g) = -g + 1. Suppose -t = -5*n + 19, 2*t - 6*t - 16 = -5*n. What is t*x(c) + 5*p(c)?\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7403393, 14806786, 22210179, 29613572, 37016965?\n\"Answer: 7403393*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 3*n + n - 2 + 2*n + 2 + (10 - 5 + 6)*(4*n + 15*n - 4*n + (-n + 3*n - 3*n)*(-4 + 0 + 2)).\nAnswer: 190*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 665, 5339, 18031, 42749, 83501, 144295, 229139?\n\"Answer: 668*k**3 + k**2 - 5*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r + 1. Suppose 0 = -4*a + l + l + 14, a = -5*l - 2. Suppose d = -a*d + 16. Suppose -10 = w + 3*t, 0 = w + 2*t + 2 + d. Determine q(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121735599 to the power of 1\/2, to the nearest integer?\nAnswer: 11033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1950.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 9*p + 4. Determine w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 635678, 1271358, 1907038?\n\"Answer: 635680*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 383806 and 36?\nAnswer: 6908508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172.9 + -172.935. What is the biggest value in 0.4, 0.1, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944558097 to the power of 1\/3, to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -54. Suppose -2*n - 3*a + 18 = -3*n, n = -2*a + 7. Put n, x, 1, 5 in ascending order.\nAnswer: x, n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5153299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**7\/210 - 23*w**6\/120 - 43*w**5\/60 - 7*w**4\/8 + w**2 - 72. Factor g(f).\nAnswer: -f*(f + 1)**2*(f + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyccyfiinoffifnoff. Give prob of picking 1 n, 2 i, and 1 o.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*o - 16. Suppose -n - h + 1 = 0, -n + 2*h + 4 + 9 = 0. Let v = 1 + n. Calculate the remainder when o is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417383.\nAnswer: 3, 11, 103, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 5. Let o = -4.0000005 - u. Round o to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 63*((-304)\/12 + -2). Is ((-22)\/33)\/(4\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1348, 2710, 4072, 5434, 6796?\n\"Answer: 1362*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14099653?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 24. Let r = 0.3 + w. Which is the third biggest value? (a) r (b) -1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**5 - 18459*z**3 + z**2 + 174*z - 171.\nAnswer: -20*z**3 - 110754*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 17*m - 4. Determine x(19).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3 + 1043*g**2 + 2089*g + 1045 = 0?\nAnswer: -1, 1045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -470 - -4699\/10. Which is the nearest to t? (a) 0.3 (b) 2\/13 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 + 3*p**2 + p. Suppose 3*k = 2*u - 12, 0 = -4*k + u - 3*u - 2. Calculate b(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + 1 - 7\/(-7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4892*d**2 - 9*d + 16. Let p be y(2). Let o = p - 234647\/12. Calculate the common denominator of -71\/36 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 2465, 258 in ascending order.\nAnswer: 5, 6, 258, 2465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y + 24. Suppose 29*t - 40 = 25*t. Suppose -5*d = -10 - 85. What is the remainder when f(t) is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25931 is divided by 8320?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 3:19 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5608 is divided by 5596?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6518.192 meters?\nAnswer: 651819.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*y**2 - 95*y**2 + 0 + 0.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 438*y**2 - 218*y**2 - 219*y**2. Let k(p) = 3*p + 12. What is k(a(j))?\nAnswer: 3*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36020, -72052, -108108, -144200, -180340, -216540, -252812, -289168?\nAnswer: -325620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -407 - -403.74. Let l = -0.26 - o. Sort 2\/13, l, 4 in decreasing order.\nAnswer: 4, l, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**2 - 5*x**3 - 5*x**2 + (-3 + 3 - x**3)*(-2 + 2 - 2) to a*x**3 + k*x**2 + v + q*x and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123.74 + 123.94. Sort 0, k, -4, 0.03, 5 in descending order.\nAnswer: 5, k, 0.03, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/5 (b) 1135\/4 (c) -0.5 (d) 2\/17 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 - 8*y + 7. Let i(v) = 6*v**2 - 15*v + 13. What is -7*a(g) + 4*i(g)?\nAnswer: -4*g**2 - 4*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 9:17 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33284873 is divided by 11094950?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 (base 12) in base 10?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 + 5*k. Let a(n) = -4547*n**2. Calculate r(a(g)).\nAnswer: 144726463*g**4 - 22735*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1173)\/230)\/(2448\/(-4032))*5\/(-3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -443\/16164 - 10517089\/14951700. Let q = j + 30\/37. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Suppose -g*m = -m. Suppose m = -i - 3*i. Solve a + 1 = -i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**4\/12 + 10*h**3\/3 + 11*h**2. Does 7 divide m(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 - 41 = 9*b. Let j = 69 + b. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58824851258 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.815 - -1301.315. What is i rounded to the nearest ten?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 2:16 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -98*h**2 + 2*h + 281*h**3 + 222*h**3 - 1 + 97*h**2. Suppose -3*a - 5 = -8*a - 5*m, -4*a + 2*m + 4 = 0. Is i(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-5) + -1 + 2. Suppose d*y = -3*u - 0*y + 5, 0 = u + 4*y - 4. Suppose 0*h - h = -2. Solve h*t - 8 - 2 = u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/27)\/13 - 2\/(-18)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18295, -18292, -18289, -18286, -18283?\n\"Answer: 3*x - 18298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*x + 21 + 33, 4*x - d - 90 = 0. Let u = -117\/5 + x. Which is the nearest to -3? (a) u (b) 1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -52, 12 in decreasing order.\nAnswer: 12, 3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -275 divided by -5\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165899?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*v**2 + 14 - 13 + 15*v**2.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w + 311. Let z(p) = -7*p - 617. Calculate -10*j(v) - 4*z(v).\nAnswer: -2*v - 642","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 20 = d. Suppose -4*t = 2 - d. Find the third derivative of -a**t - 2*a**2 + 3*a**6 + 2*a**2 wrt a.\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-1764))\/(36348\/(-8388))?\nAnswer: -1\/196","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 23225615?\nAnswer: 23225620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - 2847?\nAnswer: -2854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1530 divided by 15.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -34\/3. What is the second biggest value in t, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98437195 - 98437204.1999918. Let c = -66.2 - -57. Let f = c - g. Round f to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14778009.\nAnswer: 3, 457, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15489493210 and -9.6.\nAnswer: 15489493200.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/7 - 2571*m\/7 + 10300\/7 = 0. Calculate m.\nAnswer: -2575, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46965044 to the nearest integer?\nAnswer: 6853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -4.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 58*x + 122. Let b(s) = -1658*s + 1689. Let z be b(1). What is j(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 12189199509704?\nAnswer: 12189199509703.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 5 (c) 46 (d) -2 (e) 4 (f) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - g + 2. Let k = -21 - -22. Let y be c(k). Suppose p - 3*q + 731 = y*p, 0 = -3*p - q + 1114. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - (0 - 0))*12. Suppose 35 = f - 6*f. Let n = s - f. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 4, -0.5, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 + 99. Solve -u*g + 2 = -3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-186.\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -65*k**2 + k + 1. Let i be v(-1). Let o = i + 28. Let x = 55 + o. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2. Suppose -j - w - 4 + 1 = 0, 5*w = -15. Let v(d) be the second derivative of 0 - d + j*d**2 - 1\/3*d**3. Give v(t(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-441)\/(-6)*1\/(-6). Let g = 39\/20 + t. What is the common denominator of g and (1\/3)\/(28\/(-4074))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*-18*(-12)\/(-288)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/4 or -2\/661?\nAnswer: -2\/661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1158524.377 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 21*h**2 - h + 17. Let v be f(-21). Let y = v - 52. Let z(b) = b**3 + 20*b**2 - 4*b + 29. Is z(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + q + 44, 3*g - 3*q + 28 = -g. Let p = 4 + -11. Let c = p - g. Solve -7*r + c*r = 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 572.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Suppose 2*q - 9 = -y, n = -0*q + 5*q + 2*y - 20. Suppose q*b = b + 37. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1. Let y(c) = 3*c + 22. Calculate 3*v(d) - y(d).\nAnswer: -3*d - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 779a787?\nAnswer: -779a790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k**2 - 62*k - 4. Let y(u) = -27*u**2 + 185*u + 11. Determine -22*a(c) - 8*y(c).\nAnswer: -4*c**2 - 116*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x**3\/9 + 298*x**2 + 1820*x\/3 - 21584\/9 = 0. Calculate x.\nAnswer: -4, 2, 1349\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -235369\nAnswer: -4\/235369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**7\/84 - f**6\/20 - 4*f**3\/3 - 5*f. Let q(i) be the second derivative of g(i). What is the third derivative of q(u) wrt u?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299837748?\nAnswer: 2, 3, 7, 53, 67349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -5\/4, -4, 1279?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4159804 and 1276.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n = -29*n + 2*g - 74258, 2*g + 29692 = 2*n. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 7\/106871?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/h**(-2))\/h)\/h)\/h)\/h*h**(-2\/9))**(12\/17)\/((h**5\/(h\/(h**(2\/3)*h)))\/(h**3*h**(-1\/7)*h)) assuming h is positive.\nAnswer: h**(-318\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**4\/16 + 5*x**3\/6 + 23*x**2\/8 + 7*x\/2 + 479. Find d, given that r(d) = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + n**3 - n**3)*(1 + 2 - 2) + (-2 - n + 2)*(-8*n**2 - n**3 + 8*n**2).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 342 or 341?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1374400 to the nearest ten thousand.\nAnswer: 1370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19091448 divided by -6\nAnswer: -3181908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/6)\/(z**8\/z)*(z**(-2)\/z)**1)**(-15) assuming z is positive.\nAnswer: z**(275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-297)\/15)\/((-3)\/20). Suppose -5*i = -10*i + 60. What is the highest common divisor of g and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30040 is divided by 14982?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4\/11, 3.5 in decreasing order.\nAnswer: 3.5, 0.2, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 + 5 - (32 - (19 + -4)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 44 - ((0 - -1) + 19).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2. Let q be 9\/4 + (-1)\/4. Let b(v) = -19*v + 2*v**q + 19*v. Determine k(b(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309067113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5705 <= -5716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 366*c**2 + 213*c - 648. What is the thousands digit of b(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 13) in base 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17624.69975 - 17648.7. Let m = 24 + y. What is m rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 95, 132, 171, 212, 255?\n\"Answer: z**2 + 34*z + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 8*v + 10. Let r be s(5). Let j = 26 - r. What is the second derivative of -w**4 - j*w + 2*w**4 - 6*w**4 + 6*w**4 wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1449+659\nAnswer: 2108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - w + 4*w + (-w + w - w)*(2 + 0 - 1) + 7*w + 2*w + 0*w in the form j*w + x and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/2)\/(4\/8). Suppose 5*z = -3*j + 36, -b*j + 3*j + 3*z - 12 = 0. Solve 3*k + p = -3*p + 16, 3*p = 5*k + j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 13*r**2 + 18*r - 16. Let c be s(14). Let a = c + -40. Solve 4*v + v = a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -7*w**5\/6 + 1946*w**2. Let l(m) = 7*m**2. What is q(l(k))?\nAnswer: -3430*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 1458?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/10, 3, 22, -10.1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 3, -275 in decreasing order.\nAnswer: 9, 3, -2, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210753088*f**4 + 178081389*f**2 wrt f.\nAnswer: -5058074112*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 21*p + 14. Calculate a(23).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(sqrt(500) + -2 - sqrt(500))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 800*i**2. Let v(g) = -5*g**2. What is v(j(t))?\nAnswer: -3200000*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4 + 3 + 6*x - 3*x. Let n be r(1). Suppose 3*s + 3*q = 33, -3*q - 12 = -s - 5*q. What is the highest common factor of s and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 614875, 614876, 614877, 614878?\nAnswer: 614879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20906 + -20906. Solve 4*i + 6 = -5*r, s = -5*i - 20*r + 25*r + 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 - 0 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aroooxxaaxorjajjar. Give prob of sequence jar.\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.51 less than or equal to 14460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/1001390 and -131\/2380.\nAnswer: 238330820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*-2*(-2)\/(-4). Let b(w) = -6*w + 17. Let l(p) = -p + 3. Give j*b(g) + 34*l(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-19 - -17) + (-2 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -217904 (b) -6\/7 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -13, -10, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 1.7, 0.4, -0.5, 79, 3 in increasing order.\nAnswer: -0.5, 2\/11, 0.4, 1.7, 3, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*i**3 + 16*i**3 + 16*i**3)*(1 - 3*i + i + 3*i) in the form m*i**4 + s*i**3 + r + x*i + z*i**2 and give m.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1657*u - 550*u = -27009 + 1548 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0 - ((14 - 36) + 10)) + -10 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*q - 0*q + v, -68*v + 49*v - 309 = 14*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -3.6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -176 - -1409\/8. Let x be (5\/60)\/(15\/370). Let d = -14\/9 + x. Which is the third biggest value? (a) 4 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9) + (-56)\/18 + 2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + k + 6 = 0, -h - 2 = 2*k + 1. Let i = -174 - -177. Solve -h = -f - i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351730 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 3*f - 5. Let r be s(-4). Let g be -1 + 3 + (0 - -43). What is the highest common factor of r and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2034*l**2 + 0*l**3 - 3*l + 558*l**2 + 2 - l**3 + 1149*l**2 + 1019*l**2 in the form p*l + g + r*l**2 + i*l**3 and give r.\nAnswer: 692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -x + 103012, 4*c = -x - 3*x + 412048. Is x\/10 + ((-72)\/(-40))\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/12 and -97\/792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -126+-572013\nAnswer: -572139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-2)\/(-36)*6\/(-1). Let z = 1.5 - 2. Which is the closest to -1? (a) 4 (b) z (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 6910260?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 0 + 0*a**4 + 0*a**3 - 1\/60*a**5 - 4*a**2 + 0*a. Let c(g) = -13*g. Give d(c(x)).\nAnswer: -169*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -83?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -9, 60534, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -61633 (base 15) to base 6\nAnswer: -10340203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7165750 a multiple of 534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.293.\nAnswer: -0.0586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3014263 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 3*p + 4*m - 66, -p = 3*m + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4136 and 6880048.\nAnswer: 75680528","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7084*p + 3645*p + 2135*p.\nAnswer: 12864*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = i - 34. Let l = 14 + i. Suppose 3*j - 4*j + l = 0. What is the greatest common factor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*h + 3816 + 7224 = 0, 5*h = -25. Is i a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -26*o + 178, 2*i + 3*o - 141 = -122 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 42 = -4*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -164*i + 64*i + 19 + 74*i. What is the hundreds digit of m(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0, 3, 11, 117 in ascending order.\nAnswer: -3, -1, 0, 3, 11, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -11*x + 12*x. Suppose -q = -2*q - x. Let t(n) = n**3 + 5*n**2 - n - 4. Let m be t(q). Put 0, -5, m in decreasing order.\nAnswer: m, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 rounded to one dp?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x + 10. Let i be w(5). Suppose 3*p + 4 = 10, -3*q = -5*p - i. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2015 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -273610042*h + 200785695 wrt h?\nAnswer: -273610042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b49baa + -5?\nAnswer: -1b49bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 94956 = -3*y. Let h be y\/84 + (-1)\/(14\/(-6)). Round h to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-72)\/189 + (-2)\/7)*-3. Let p be (4\/3)\/(2\/3). Suppose 5*c - 6*f + p*f = -5, 0 = 5*f - 25. Solve k*m = c*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6896147404 rounded to 2 dps?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*k + 37*k**2 - 481 + 481.\nAnswer: 37*k**2 + 41*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 30\/12)\/(1\/(-2)). Solve -3 = w - x*i, 2*w = -3*i - 14 + 26 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4005 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3942159*a**3*z + 3*a**2 - 73307*a*z wrt a?\nAnswer: 23652954*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301*i + 293*i = -8200. Let j = i - 1021. Solve -14 = j*v - 3*r + 5, -3*r - 17 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11823879*x**4 - 364*x**2 - 8771?\nAnswer: 283773096*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1244*o = 153*o - 946*o + 59073 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 27 = -4*s. Let q(b) = b**2 - 4*b. Let n be q(3). Let u be 1*(-3)\/(n\/2). Solve -s*z - 3*r = -u*r + 20, 2*r + 12 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**5\/5 + 95*n**4\/4 - 5*n**3\/3 + 28*n**2 - 1330*n. What is the second derivative of s(h) wrt h?\nAnswer: -24*h + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106199\/18 + 5907. Find the common denominator of p and -71\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 274908*z**3 - 28*z**2 + 64180259?\nAnswer: 824724*z**2 - 56*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2 - 2 - 2*u. Let q = 3 - 4. Let c be p(q). Which is smaller: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -501*v**2 - 12*v - 13. Calculate f(-1).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0089615 and -209447.\nAnswer: -209447.0089615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j - 8. Suppose 4*h - 2*t = 1668, -1251 = -3*h + 3*t - j*t. Suppose -7*f + 360 = -h. List the prime factors of f.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 25 = 4*w. Suppose w = -3*c - 2*g, 2*g + 30 = 5*c - 2*g. Let o(y) = -2*y + 6*y - 4*y + c*y**2. Let f(t) = -2*t**2. Determine f(o(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4876036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 25533000 to the nearest one hundred thousand.\nAnswer: 25500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -125, -298, -543, -860, -1249, -1710?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r. Let c(x) be the third derivative of 113*x**5\/60 - 42*x**2. Give l(c(i)).\nAnswer: 226*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 p when four letters picked without replacement from pppppppppll?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169.83 + -173. Let p = -0.17 - t. Let n be (-2)\/(-30) + (-2)\/3. What is the closest to 0 in -2\/7, p, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 10:52 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3 + 5 = 0. Let x be 4 - (-2 + 2)*-1. Which is greater: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1*sqrt(2057)*-4 + -4*sqrt(2057) + -2)*-3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l*l**(-2)*l*l)\/l*l)))**(1\/16))**(-1\/8) assuming l is positive.\nAnswer: l**(-1\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -187*t - 1. What is the hundreds digit of a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 171616428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 424.7594m?\nAnswer: 424759.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyy. What is prob of sequence yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -33.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 + (28 - 31) - (3 + -31)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 34*f + 41. Let g(i) = -34*i - 41. Let r(c) = -6*g(c) - 5*t(c). Find the first derivative of r(m) wrt m.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323.552ml in litres?\nAnswer: 0.323552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqeteqtqv. What is prob of picking 2 e?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 5?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (12 - (12 + -5))) + 10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 236394?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -3*i + 4*k, 0 = -1126*i + 1130*i - 2*k + 74 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(45\/21 + -2). Let j(n) = -11*n**2 - 7*n + 5. Let m(t) = 5*t**2 + 3*t - 2. Let v = 40 - 43. Give v*j(r) + w*m(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + y + 19 = 0, -2*j = -4*y + y - 13. Suppose -j*h = -15*h + 192. Suppose -4*x = -0*x - h. Solve 6*k = 9*k - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 3987*g**2\/2 - 3561*g + 1784. What is the first derivative of k(u) wrt u?\nAnswer: 3987","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94240124*t**5 + 2*t**3 + 1048058*t + 73.\nAnswer: -1884802480*t**3 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/16*(-224)\/70.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5462*s**2 + 12103*s**2 + 1 + 0.\nAnswer: 17565*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2973 + 348 + 6480 - 352*k - 3821*k with respect to k.\nAnswer: -4173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 445\/35 + -13 + (2 - (-24)\/(-14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 - 98. Solve -2*v - z = z - 4, -3*v - 5*z + i = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20351052809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -329 (base 13) to base 14\nAnswer: -2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 + 31*p + 14. Let f be u(16). Let h be (-1 + -2)\/(15\/(-2)). Is h not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/887?\nAnswer: 3\/887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -1819, -7463, -19129, -38989, -69215, -111979, -169453?\n\"Answer: -362*f**3 + 247*f**2 - f + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83bd (base 15) to base 8.\nAnswer: 66315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/512 and -73\/836032.\nAnswer: 6688256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*k**2\/17 + 50*k\/17 - 86\/17 = 0. Calculate k.\nAnswer: -43\/18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-1 - -2) - (35 - (34 + 6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114471 and 8848?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1080*s - 197. What is m(2)?\nAnswer: 1963","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 - 5. Let p(r) = -r**2 - 2. Let b(o) = -2*f(o) + 5*p(o). Let g(t) = t**2 + 0*t + 0*t + 2*t**2. Give g(b(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -0.08, 1.733, -2\/3?\nAnswer: 1.733","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 3. Let p be c(-7). Let a(i) = 4*i**2 - i - 4. Let g be a(p). Calculate the greatest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -12 + 9 - 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -1. Let h be (-492)\/7 - x\/7. Is h\/(-3) + 5\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2 + 18*h - 2*h + 13. Suppose -x + 2*d - 12 = 0, 6*d - 2*d = -2*x - 32. Let w be u(x). What is w rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0712 * 18.\nAnswer: -1.2816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/31, 15.9, -1\/3, -2 in ascending order.\nAnswer: -3, -2, -1\/3, -2\/31, 15.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3920 - 3917. Solve -9 - 9 = -3*i + b*t, 4*i + 4*t = -16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b**3 - b**2. Let g(j) = -j**3 - j**2. Calculate c(u) - 4*g(u).\nAnswer: -5*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 7*j**2 - 20*j - 30. Let p be x(-9). Let b be 0*(3\/18)\/((-4)\/p). Solve 6*i + 18 = -b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 44*y - 435. Let p be i(15). Sort p, 1, 6, -5 in descending order.\nAnswer: 6, 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 84 - 70. Solve v*u - 2*u = -2*f - 29, -2*f = 3*u + 19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 2*(-2 + (-15)\/(-6) - -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005991231 rounded to 7 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -626762*m*o + m + 125378071*o wrt m.\nAnswer: -626762*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 12:03 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.7 and 46.38.\nAnswer: 542.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4243384*w**2 + 12949*w + 28 wrt w?\nAnswer: -8486768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -2\/41, -84, 6, 2\/5 in increasing order.\nAnswer: -84, -2\/41, 0.09, 2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-165 - -183) + (372\/2)\/(-3)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**5 + 47*y**4 - 58*y**3 + 46*y**2 + 5*y - 4.\nAnswer: -60*y**2 + 1128*y - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-28)*(-119)\/34)\/(20\/112).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + (sqrt(2916)*2 - sqrt(36)))\/(sqrt(12) - (sqrt(12) + sqrt(48)*-5) - sqrt(12)) - (0 + 1*sqrt(432) + (-5*(-1 + sqrt(432)))**2).\nAnswer: -10825 + 590*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 324834915 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 16. Suppose 5*v - r*f = 108, -3*v - 38 = -3*f - 104. Calculate the highest common factor of 50 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 50. Let o(w) = -69*w - 75*w + 213*w - 73*w. Calculate n(o(f)).\nAnswer: -4*f + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*o**3 - 9125 - 9144 + 44*o**3 + 18246.\nAnswer: -2*o**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 408 = -7*l. Let g = 7 - 4. Suppose -3*b = 4*a - b - 40, g*a - b - 25 = 0. Solve 5*k - l = -a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*f + 1069*f**2 + 55*f - 4311*f**2.\nAnswer: -3242*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) -1\/3 (c) 1\/2 (d) 17 (e) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16043 + -0.49.\nAnswer: 16042.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29693, 55420, 77181, 94976, 108805, 118668, 124565?\nAnswer: 126496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9712076, 9712077, 9712078, 9712079?\n\"Answer: r + 9712075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-20))\/((-6)\/(-45))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiikikkikk. What is prob of sequence kk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1409801 divided by -2\nAnswer: -1409801\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 184, 277?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**6)**(-29)*(z\/(z**(-29)*z))\/(z\/(z**(-8\/7)*z)))**(-2\/5) assuming z is positive.\nAnswer: z**(2452\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2634 and -22.2.\nAnswer: -2656.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 1:52 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*f**3 + 2\/3*f**4 - 2\/3*f**2 + 2\/3*f + 0.\nAnswer: 2*f*(f - 1)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1276026 is divided by 26041?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f + 60 = -78*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -10, -3*k - c + 36056 = 5962. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.26 and 433?\nAnswer: 112.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51761860*i**2 + 51761883*i**2 - 103523717*i**2.\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 3*i**2 + 4*i + 4. Let z be r(-4). Let d(s) = s**2 + s + 1. Let j be d(0). Are z and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-4 + 4 - 2*j) + (0 + 1 - 3)*(-5*j + 6*j + 4*j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q + 16. Suppose -3*t - 835 = 5*a, -4*t + 2*a - 998 - 98 = 0. Let l be 6\/10 - (-165)\/t. Solve q*u - 4 - 16 = l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274084846 a multiple of 5930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3123440 - 3?\nAnswer: -3123443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 7:54 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, 5, 7, -12, 1, -5 in descending order.\nAnswer: 17, 7, 5, 4, 1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25733 divided by 25733.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -165 - -16?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, c: 1, q: 7, x: 1, n: 3, y: 4}. What is prob of picking 1 q, 1 n, and 1 x?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196719524 by -4.\nAnswer: -49179881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/3 + 149987*y\/3 - 20889664.\nAnswer: -(y - 149568)*(y - 419)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6512000 by 814.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 12) to base 2\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1358*y = 1350*y + 93888. List the prime factors of y.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75813.\nAnswer: 3, 37, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)*-1 - (56788\/(-3786) - -14). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 6036 = -6034 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to 58485\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126761.\nAnswer: 126761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-5 + 1 - 1)*(2 - 2 - 2)*(-2*k + 1 + 1 + 0).\nAnswer: -20*k + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56805\/332 + -55047753\/8300. Let n = -6459 - k. What is the common denominator of n and 57\/35?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265284757 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: Find the common denominator of 89\/295536 and 17\/16768.\nAnswer: 2364288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 34*b = 21*b + 520 + 1145 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 6:22 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 914913934 to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.46 + 2.44. Let i = x + -2.4. What is the closest to i in -0.1, 5, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11094784 divided by 4\nAnswer: 2773696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -789 - -791. Suppose 499 = j - 2*d, -t*d - 484 = -j + 3*d. Calculate the lowest common multiple of j and 1.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -q - 12. Is -6 + 7 - (-1 + q) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(2\/11)\/j)\/j)\/j)**(-2\/3))**(2\/17) assuming j is positive.\nAnswer: j**(124\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 26 - 33. Let t be 52\/(-4) - (-5 - i). Calculate the common denominator of -55\/54 and t\/21 - -2*(-2)\/(-12).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 6*s**2 - 35*s - 68. Give i(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8623, -6081, -3539, -997, 1545, 4087?\nAnswer: 6629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485 + 252 = 13*m - 246. Which is the fourth biggest value? (a) -2 (b) -11.3 (c) 3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 11:09 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*y + 93*y - 4*y**2 - 38*y + 14*y**2.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.04, -2\/17, 1\/3, 0.4 in descending order.\nAnswer: 2, 0.4, 1\/3, 0.04, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + -2. Let l(d) be the third derivative of d**5\/30 + 41*d**4\/24 - 8*d**3\/3 - 31*d**2. Let b be l(w). Solve b*g = q, -g + 0*g + 4*q = 19 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 5.689.\nAnswer: -10.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 24172\nAnswer: -725.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345 divided by 1066.\nAnswer: 345\/1066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -115, -5, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 33, -1\/7, -34\/7 in decreasing order.\nAnswer: 33, 5, -1\/7, -3, -34\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588*c**2 - 2272*c**2 + 2*c + 585*c**2 + 1110*c**2.\nAnswer: 11*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -794184406 + -0.01?\nAnswer: -794184406.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -768978 or -769350?\nAnswer: -769350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + i + 2 = 0, -2*n + 7*i = 2*i - 2. Put n, 296, -5 in increasing order.\nAnswer: -5, n, 296","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9076 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1052\/11 at most as big as -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 204271, 408558, 612845?\n\"Answer: 204287*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqufjjjjjjjqqjquqq. What is prob of sequence ju?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-16)*-2*(-16)\/(-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1214313, 2428623, 3642933, 4857243, 6071553?\n\"Answer: 1214310*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 + 49 + 2*2 + 17332 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f - 23. Let d be c(17). Suppose -3*t = -t - d. Calculate the remainder when 53 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/10 + 80*a**2. Let m(k) = -21*k. Give m(f(s)).\nAnswer: -126*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -5*w**8\/252 + 23*w**7\/315 + 7*w**6\/45 - 17*w**5\/90 - w**4\/3 - 2*w**2 + 598*w. What is m in r(m) = 0?\nAnswer: -1, -1\/2, 0, 4\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q. Let n(r) = -8*r + 8. Let h(a) = -6*m(a) - 2*n(a). Let b be h(-13). Calculate the greatest common divisor of b and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**2\/4 - 3*k + 9 = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-8 + (-18 - -36) + 9).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*b + 3)*(2*b + 0 + 0)*(-3 + 7 + 1).\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 150680360 rounded to the nearest 100000?\nAnswer: 150700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**8\/168 + v**4\/12 - 2*v**2 - 1. Let i(b) be the second derivative of y(b). Find the second derivative of i(j) wrt j.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2547.569 times -6\nAnswer: -15285.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -7*v - 211, x = -2*v + 1306 - 1366 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1\/13, 3\/4, 0.3, -2\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.068 - -39772\nAnswer: 39772.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1595*i**5*q + 2*i**5 - 1725*i + 2*q wrt i?\nAnswer: 31900*i**3*q + 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = g + 4*q, -4*q = -4*g + 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1819 + -1170. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) - 231\/(-14). Suppose -4*v + 12 = -y. Let r = -5 + v. Solve 0*z = -r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by (-2 + 3)*28*9\/6.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752\/2256*(20\/(-15))\/((-2)\/72)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3 = 3. Let t be ((-2)\/8*1)\/z. What is the second smallest value in -2, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 equal to 74\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 3 - -12 - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3508*v - 59219 = -139008 - 74563 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/77 + (-228)\/(-132)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1802, 3550, 5308, 7082, 8878, 10702, 12560?\n\"Answer: u**3 - u**2 + 1744*u + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/7 + 18*g\/7 + 17\/7.\nAnswer: (g + 1)*(g + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.5, -1\/8, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -5 - -1)\/((-1)\/(-3)). Suppose -3*g - 11 = -4*g. What is the derivative of -2*j**4 - 4 + g - f*j**4 wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776 is divided by 156.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -6. Let y = -29.71 + -0.29. Let g = y - -29.95. What is the third biggest value in f, g, -3\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - 0 - (19 + -13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4\/4 - 5*n**3\/3 + 7*n**2\/2 + 4*n - 3. Let c be m(-6). Let b be c - 3*4\/(-6). Solve -4*k + 5*k - 3 = b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044 divided by 5?\nAnswer: -1044\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y - 1 + y + 5 + 3*y.\nAnswer: -y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*r + 41 = 0, -4*d - 16 - 17 = r. Suppose -4*t - 4 = 3*z, 4*z - 3*t - 28 = -0*t. Suppose 2*p - 5 = -9. Sort 1, p, d, z in ascending order.\nAnswer: d, p, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*o = 17, -v + 4*v = 2*o - 11. Let d = v - -3. Let x = -119 - -119. Solve -2*r + 3*s - 4 = 0, x = 2*r - 6*r + d*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 13*v + 3*v. Let t(f) be the second derivative of 1\/2*f**3 + 5*f + 0 + 0*f**2 - 1\/3*f**v. Find the second derivative of t(r) wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7716584ml to litres.\nAnswer: 0.0007716584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 6)*(1 + 0*v + 0*v - 2*v) - 48*v + 13*v - 7*v in the form i*v + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5734 or -177791\/31?\nAnswer: -177791\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 17 = v. Suppose 4*g + 5*y = 14, -4 = -4*g + 5*y - 10. What is the remainder when (1 - (-101)\/g) + (-18 - -15) is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1629207 (b) 8\/3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23801*t**2 + 23805*t**2 - 71412*t**2 + 23802*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 462 and 22645238.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4080 + -4082. Which is the second biggest value? (a) -276 (b) v (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.129 * -2077.\nAnswer: 267.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) -6\/7 (b) 1\/34 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 697247429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 1:20 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4457 - -4485. Solve 5*n = -b + l, -5*n + 4*n = -3*b + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 * 6602867\nAnswer: -204688877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3*j)\/j**(-2))**(-15) assuming j is positive.\nAnswer: j**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3132 + -1321130?\nAnswer: -1311332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338 divided by 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 78 = -23*a. Find g, given that -3\/8*g**a + 0 - 9\/8*g**2 + 3\/4*g**4 + 0*g = 0.\nAnswer: -1, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(0 + 2*n + 0) + 2*n + n - n + (3 + 1 - 5)*(-6*n + 4 - 4).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22575 + 1361 = 17*h. Let a = -589 + h. List the prime factors of a.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 21 + (0 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (339 - 12*v - 339)*(525*v + 18090 + 745*v - 4*v**2 + 2*v**2 - 18090) to z*v**3 + o + x*v**2 + t*v and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b*g**2 - 8*b*g + 79820*b - g**2 + 7*g wrt g?\nAnswer: 6*b*g - 8*b - 2*g + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(612) + -2*sqrt(612) + sqrt(612) + -3 - (1*sqrt(612) + sqrt(612) + 2))*-4)**2.\nAnswer: 1920*sqrt(17) + 39566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/6)\/(2\/(-42)). Suppose -6*i + 31 = -m*i. Let z = -28 - i. Solve 6*s - z*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o**2 + 5. Suppose 5*b + 34*u - 32*u = 29, -b = -5*u + 5. Let i = 6 - 1. Suppose 0 = -2*g + i + 7. Let l(p) = 10*p**2 - 6. What is b*l(c) + g*z(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -15*z**2\/2 - z - 30. What is the tens digit of i(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 23. Suppose 0 = c*r - 14*r - 40. What is the remainder when 11 is divided by 6 - 1 - (-20)\/r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2 + 2)*(20 - 17 + 12 - d)*((3 + 2*d**3 - 3)*(-1 + 4 + 3) + d**3 - 4*d**3 + d**3).\nAnswer: -10*d**5 + 150*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -1\/30*j**6 + 7\/12*j**3 + 1\/12*j**7 - 2*j + 1\/6*j**4 - 1\/2*j**2 - 7\/20*j**5 + 0. Determine c, given that q(c) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -41, -115, -249, -461?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/10*(-1)\/(-3). Which is the second smallest value? (a) 3 (b) w (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -388 or -389?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2) + (2415\/2 - 2). Let q = g + -754. What are the prime factors of q?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + -5. Let q be 109\/(-3) - s\/6. Let w = q + 59. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/42437115 and -13\/6.\nAnswer: 84874230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, e: 3, r: 5}. Give prob of sequence ef.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 5:48 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1\/15*(-18)\/12?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2289*h**2 + 2290*h**2 + 2289*h**2 - 6907*h**2. Let l(i) = -i**2 - 21*i. What is l(p(u))?\nAnswer: -1521*u**4 + 819*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.81?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2808\/(-130))\/18)\/((-116)\/80*-2*2)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1452 = -2500*c + 2533*c for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/51, -9\/16, -2\/3?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -1)\/(10\/125). Let o = h - 24. Calculate the highest common divisor of o and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from {i: 4, s: 1, w: 9, z: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/12)\/((-13)\/(-26)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 15*7\/(189\/6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.43744798218 to 2 dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2433220 (base 5) in base 4?\nAnswer: 23033230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 8 = 4*u, -207*u + 203*u = -v + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(18)*3)\/sqrt(6).\nAnswer: 5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/2 of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-10) + 210\/4. Let f(z) = 2*z + d - 53. Let i(p) = -5*p. Calculate f(i(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = 4*p + 31. Let h = -38 - p. Calculate the remainder when h is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*j - 31. Let w = j + 7. Let p be 2\/w + 7\/21. What is the smallest value in -1\/5, 3, p?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -768, -1114, -1510, -1956, -2452, -2998?\nAnswer: -3594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 236144.2 + -236044.20068. Let f = -100 + o. What is f rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/84 and -68\/441399.\nAnswer: 1765596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 764*73299.\nAnswer: 56000436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*x + 120*x = -97*x + 695760. Is 120 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1683)\/105) + (-79)\/((-5925)\/(-1125))?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.6 - 26.9. What is the third biggest value in q, -0.1, 2\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/5, 0.09, 145, -1.1, -0.3?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 110201022?\nAnswer: 110201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 5\/4 (c) -1 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0*w**3 - 1\/12*w**4 + 0*w**7 + 0*w**6 + 0*w - 3*w**2 + 0*w**5 + 0 - 1\/84*w**8. Find the second derivative of h(g) wrt g.\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 9. Let s = y - -1. Is (0 - (s + 1)) + 35 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 16. Let b be v(18). Solve 0 = -3*f + b + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14818, -14817, -14824, -14845, -14886, -14953?\n\"Answer: -h**3 + 2*h**2 + 2*h - 14821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.047 + -0.147. Let v be (-1 - 3)*(-3)\/4. Which is the closest to p? (a) v (b) -2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + v**2 - v + 1. Let p be r(0). Let z = p - 0. Let f = -40 - -39. Which is the closest to -1? (a) f (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 x when four letters picked without replacement from rrrrrrrxrrrrrxrxrrrr.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 642 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 - 94. Calculate the smallest common multiple of 12 and (20\/25)\/(1\/f) + 3.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2422, 2, 108, -4, 0, 3?\nAnswer: 2422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 10*q - 25 - 11*q.\nAnswer: -q - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 468959.2l?\nAnswer: 468959200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224743 is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 1 + 3. Let k be (t + -1)*(-5)\/(-10). Solve -l + k = 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y - 3 = 0. Suppose 79 - 352 = y*q. Let r = q - -168. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.117 + -0.017. Let b = 0.13 + 4.87. What is the smallest value in h, b, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -498*(15\/(-10) + 1)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (199 + -186 - (0 - 2)) + -19 - -103?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.38197 meters in kilometers?\nAnswer: 0.01038197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -5. Suppose 3*n = 2*a + m*n + 5, -4*n = 12. Let u = 7 + a. Solve -g - g - u = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 60. Suppose 10 + 15 = 5*u + w*p, 2*u = 4*p - 16. Calculate the greatest common divisor of 16 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - 4*o + 3*o - o - 4*o + 4*o + (-1 + 2 - 3)*(-2*o + o + 0*o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*d**2 - 51*d**2 - 38*d**2 - 45*d**2 + 222*d**2 - 43*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 778, 433, -214, -1163, -2414, -3967?\nAnswer: -5822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4863 + 5186. What is the remainder when t is divided by 290?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c**2 + 2*c + 4. What is w(4)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {u: 4, r: 1, o: 1, g: 1, h: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 3*r + 3. Let j be n(0). Suppose -3*g = u - 9004, 3*g - 345 = 4*u + 8639. Suppose -6*m = -j*m - g. Round m to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 30663.\nAnswer: 30663.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*k + 4*k. Is -11 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61.87293793 + -61.84614. Let j = 1.97326307 + s. Let c = -2 + j. Round c to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 1:32 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:02 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 4*o - 2. Let v = -504 + 388. Let x = v - -113. Calculate r(x).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4939*g - 108669. Give y(22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 69*k - 225. Determine q(5).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 17*n - 556626 = -30*n. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7670.406 minutes to nanoseconds.\nAnswer: 460224360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 2*m**7\/105 - m**6\/15 - 32*m**5\/15 - 5*m**4 + 42*m**3 + 297*m**2 + 1. Factor g(b).\nAnswer: 4*(b - 7)*(b - 1)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 70907743 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*p - 11*p**2 - 9*p**2 + 21*p**2 - 36*p + 4 - 19*p**3 to the form a*p**3 + m + h*p**2 + f*p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -38*f + 81. Let p be z(2). Solve -9 = 4*h - p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**3 - 1258*s**2 + 15020*s + 7824 = 0.\nAnswer: -326, -1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 712 and 3071212.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-330)*13\/((-91)\/(-14)))\/(15\/(-50))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l - 4. Let m be b(8). Suppose 0 = 4*w - m, -k = -2*k + 5*w - 28. Let h(f) = 3*f**2 + 6*f + 3 - 3*f - 2*f + f**3 - 1. What is h(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 137415723*a**3 - 860924931*a**2 wrt a?\nAnswer: 824494338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36768 divided by 24\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11748 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.4 and -0.0607.\nAnswer: 0.81338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2382?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (403*i + 468*i - 753*i)*(2 + 2*i**2 - 4*i**2 - 3*i**2) to z*i + q*i**2 + m*i**3 + a and give z.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 79078 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - -0.1. Let k = -0.1343 - 0.7663. Let g = j + k. What is g rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*b + 14 - 4, 0 = -4*b - 4*w + 32. Let c be 5 + -1 + 1 + -2. Suppose 907 = 5*d + 777. Solve b*u + d = c*k - 8, 4*k - 7 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + v - 2. Let k be u(-2). Let d be -3 + 3*k\/18. Is -2 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 9747 - 9729 = -2*f, 0 = -21*s - f - 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6951 smaller than 6864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m + 4*m + 5*m - 4 + 4 - m + 3*m - 2*m + 0*m - 5*m + 4*m + 3*m + (3*m + m - 6*m)*(-2 - 1 + 1) - 4*m + 2*m + 3*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 496*r + 590. Let y(w) = -2481*w - 2944. Let t(x) = 11*i(x) + 2*y(x). Differentiate t(d) with respect to d.\nAnswer: 494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 644?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1400100123 - 3?\nAnswer: -1400100131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 10485315.7 to the nearest one hundred.\nAnswer: 10485300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlgllgxll. Give prob of sequence lgxl.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/7 - 946*g\/7 + 72360\/7 = 0.\nAnswer: -540, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, r: 1, c: 2, i: 2, u: 1, w: 2}. Give prob of sequence ic.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 41 = -k + 22, k + 4*h - 72 = 0. Suppose 4*l = 5*o + 271, 4*o - k = 2*l - 188. Let s = l + 13. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2103 or 2107?\nAnswer: 2103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -581, -2161, -4747, -8339?\n\"Answer: -503*f**2 - 71*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22003, -176082, -594285, -1408672, -2751303?\nAnswer: -4754238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.25. Let g = 218.779995 + -218.83. Let y = g + b. What is y rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2*1)\/(27\/90). Which is bigger: a or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 18\/7 of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331780 is divided by 110586.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (240\/420)\/(((19\/(665\/(-30)))\/2)\/7).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.9 (b) -457 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, f: 1, j: 2, p: 4}. Give prob of sequence jfpp.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*d**3 + 176*d**3 + 172*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22.44499l?\nAnswer: 22444.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 a factor of 108494916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.982507 to 0 decimal places.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Let x be t(6). Let o(k) = k**3 - 8*k**2 + 8*k - 6. Let s be o(7). Let q be (s - 3)*(-2 + 1). Solve x = 4*n - q*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4\/12 - 6*s - 2. Let w(k) be the first derivative of v(k). Let l(y) = -4*y**2 + 79*y - 79*y + 6*y**2. Give l(w(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, j: 6, s: 5}. What is prob of sequence jsjs?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2510 + 2510 - 499*k + (1 + 1 - 5)*(-3*k + 0*k + 4*k).\nAnswer: -502*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 7) to base 11\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19077 + 19080. Solve -229 + 228 = 5*m + 2*u, 5*u = -c*m + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18267, 18262, 18253, 18240, 18223, 18202?\nAnswer: 18177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59499?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.36 (b) 0.11 (c) 56.4 (d) -10\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 46 + 16 = 0. Let a be 4\/(-12) + 50\/n. Let t(f) = 2*f**2 - 6*f - 1. Is t(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 13. Let n be (s - -2)\/(2\/(-24)). What is the common denominator of 17\/22 and (-1)\/n*(-3 - -4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/40 and 95\/20088.\nAnswer: 100440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 74711 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -11. Suppose -34*d + 37*d + 6*g = 39, 0 = -5*d - g + 29. Sort i, -80, d in decreasing order.\nAnswer: d, i, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 6, -13, -1\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002357 rounded to 4 dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + a - 2. Give r(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 17 - 15 - 3*t - 7*t**3.\nAnswer: -7*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) + (sqrt(117)*1 + sqrt(117))\/sqrt(9)))**2 + sqrt(78)\/(sqrt(24)\/sqrt(4)) + (-1*sqrt(143))\/sqrt(11).\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {e: 6, c: 1, n: 4, q: 4, v: 3, y: 2}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 747*b**2. Let q(z) = 2*z**2. What is t(q(y))?\nAnswer: 2988*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 163284300 and 83800?\nAnswer: 326568600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -3, -6, -6740, 2.\nAnswer: -6740, -6, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 247.833 to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - -10.95. Let g = j + -10.7. What is the closest to 0 in 0.4, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -193 and 479.64.\nAnswer: -92570.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -20. Let c(w) be the first derivative of -w**4\/4 - 3*w**3 - w**2\/2 - 3*w - 5. List the prime factors of c(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3837 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 699829 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*z + 209*z**3 + 17*z**3 + 66*z.\nAnswer: 226*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1623564\nAnswer: 1\/405891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - -15?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*w - 159*w - 2*j + 8 = 0, -2*w = -2*j + 14 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 31, 2\/5, 1, 4, -8 in increasing order.\nAnswer: -18, -8, 2\/5, 1, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66394.\nAnswer: 2, 89, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*d - 3690 + 2910 = 24318 for d.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 929*b + 404. Is g(43) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55507888 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923195070 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7850 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = n + 2*h - h, 0 = 3*n - 2*h - 217. Calculate the remainder when n is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.449 + -5.09. Let y = -0.36 + c. Round y to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/(8\/(-14))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1599.00011845 - -1599. What is p rounded to six decimal places?\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(1\/21)*(-1680)\/(-2940).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1\/12, 0.06, 0, 3\/7?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9957014 greater than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*i**2 - 21 - 3*i + 13*i**2 + 9*i**2 to q*i**2 + d*i + c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/((162\/108)\/(7\/(-2)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*n - 29 = 0, -16 = -2*w - 12*n + 8*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = -15. Suppose x*a - 70 = a. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*y - 0 + 17, y - 3 = -2*j. Let d = 0.1 - 0.5. Let t = 3\/44 + 61\/396. Which is the second smallest value? (a) j (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m - 16. Let b(q) = -8*q + 10. Let c(j) = -8*b(j) - 5*z(j). Let i(g) be the third derivative of g**5\/30 + g**2. Calculate c(i(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 10:52 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -26*d. Let r(t) = t. What is r(u(i))?\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3 = 5*v - 29, -v - 8 = 4*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*k - k - 15, y + 25 = -5*k. Let g(f) = f**2 + f + 3. Let z be g(-3). Let j be 24\/45 - 3\/z. Which is greater: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (406 + -405 + (0 - 24)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 23998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 27. Suppose -5*q + 6*q = 4*p + x, 2*p + 7 = q. Solve -4*i - b - 2 = -q*b, -i = -3*b + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 14*h + 46 = 0. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*(g**2\/g)\/g*g*g)\/g*g*g*g**(-2\/7))\/(g**(-5)*g*g**0\/g))\/(g**(-2\/29)\/g*g**(-2))**3 assuming g is positive.\nAnswer: g**(3841\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 9 = -43. Find the third derivative of 14*w**3 + 7*w**3 + 0*w**2 + w**5 + 9*w**2 - n*w - 32*w**3 wrt w.\nAnswer: 60*w**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 5:40 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4986770005?\nAnswer: 5, 7, 142479143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16964*u**3*w**3 + 2*u**3*w**2 - 4*u**3 + 191395*u**2 - u - w**3 wrt u?\nAnswer: 101784*w**3 + 12*w**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 1.4, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1345 and 20.\nAnswer: 5380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*i + 142*i - 552 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 0.11, 2, -6, -18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1182 and 7158.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(273\/(-18)))\/((-12)\/(-42))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 3083?\nAnswer: 3082.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6693586 divided by -176147\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -13 - -7) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from gmedgddmdmmmmnmdmdd?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 12767*q - 6 - 8 + 12758*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**7\/420 - a**6\/30 - 10*a**3\/3 - 3. Let k(g) be the third derivative of d(g). Find the third derivative of k(v) wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qypqyemqeeepyp?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = 5*k. Solve k = -8*f - 1 + 17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p + 108. Let v = -29 + p. Suppose 4*b - 3 = 3*h - v, 0 = -5*b + 25. What is the greatest common divisor of 70 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2 + (2 + 1 - 1)*(-2 + 0 + 1))*(27*a - 5*a**4 - 27*a) - 48*a**2 + 95*a**2 - 2*a**4 - 71*a**2.\nAnswer: 18*a**4 - 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -190*k - 383 - 3227 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/5 of a decade?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2590.6+-193\nAnswer: -2783.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 95 + 17 = 0. Let f = 52 - r. Is 356*(-1)\/8*f\/2 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 166*b**3 + 2*b**2 - 5*b + 33. What are the prime factors of m(4)?\nAnswer: 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1768360 - 1002*f**2 + 1768360 as g + k*f + s*f**2 and give s.\nAnswer: -1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -70, -99, -128?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/13 - 20*c**2\/13 + 8*c - 112\/13 = 0. Calculate c.\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-22)*o\/((o\/o**(-10\/3))\/o) assuming o is positive.\nAnswer: o**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 5376445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j = -4*h - 12, 0 = -3*j - 2*h - 13. Let a be ((-24)\/(-14))\/(j\/(-4753)). Suppose -3*m - 3*k = -1370 - 406, -a = -2*m + 2*k. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 8508*m**2 - 51172*m + 42660.\nAnswer: 4*(m - 5)*(m - 1)*(m + 2133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 23*y + 138. Let p be (22 - 36) + (4 - -4). What is i(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0660716478 - -39?\nAnswer: 38.9339283522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28\/5 (b) -11 (c) 5\/3 (d) -2\/11 (e) 1.4 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 12. Let b be w(16). Suppose -14 = p + 4*o, -b*p = 3*o + o - 4. What is the third derivative of -p*f**2 - f**2 - 4*f**4 + 7*f**4 + 3*f**2 wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1240 (base 5) to base 15.\nAnswer: -d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1241*j = 691*j + 8250 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -3 + -13 + (-7 - (1 - 14))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, n: 1, x: 11}. What is prob of sequence xvv?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 3*c + 3*c)*(-12*c - 571 - 36 + 0*c + 13*c).\nAnswer: c**3 - 607*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (0\/(-4) - -1). Let l(f) = 3699998*f - 2. Let n be l(c). Round n to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 709.7809 kilometers to centimeters.\nAnswer: 70978090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 - 10*s + 2. Let b(l) be the third derivative of l**5\/10 - 29*l**4\/24 + 7*l**3\/6 + 3*l**2 + 38*l + 12. What is -2*b(h) + 7*i(h)?\nAnswer: 2*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, u: 1, c: 3, p: 1, n: 1, i: 5}. Give prob of sequence ec.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*w - 3*u = 48, -2*w + 5*u = -24. Let b(n) = -w*n**2 + 21355*n - 21355*n. Let i(l) = 4 + 2*l - 5 + 1. What is b(i(p))?\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s + 53*s + 2406 = 1048 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5203 and 1089?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 84 (b) 1 (c) 9 (d) -2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -12*h - 15. Let q = -25 - -10. Let j(b) = -3*b - 4. What is q*j(k) + 4*v(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**3 - 167850*m**2 + 1342560*m - 2684960 = 0. Calculate m.\nAnswer: 4, 33562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17558.\nAnswer: 2, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 13*h - 26. Let n be k(3). Suppose 0 = 2*d + 3*i - i - 30, -n*d + 5*i = -51. Is 13 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1792)\/(-126) + -14 - (-32)\/(-306).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 380 = 2*s, 0 = f + 4*f - 5*s + 380. Put 1, -5, f, 2 in decreasing order.\nAnswer: 2, 1, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.9603 and -149.\nAnswer: -888.0847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126309966 is divided by 916?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 11. Suppose -21 = -3*a + 3*y - 6*y, h = 4*y. Solve 0 = -z - 0 - a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -25, 2*i + f - 540 = -f. Suppose -n - 4*n = -i. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30632975 to the power of 1\/2, to the nearest integer?\nAnswer: 5535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 18*x**3 + 17*x**2 + x - 17. Is f(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22114004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1962*j**2 + 6*j + 6. Let s be y(-1). Calculate the greatest common divisor of 27 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q + 20 = -2*m, 0 = -q - m. Suppose -q*l - 2*i - 19 = -i, 2*i = 4*l + 10. Which is the nearest to -1\/3? (a) l (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*z + 411. Suppose z*k = 136*k + 32. Solve -5*o + 12 = k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in 0.2, 0, 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-1))**(5\/7)\/(f*f\/(f*f**(2\/9))*f)**(-13) assuming f is positive.\nAnswer: f**(1591\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0326351 rounded to three decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 3:49 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282 and 27372.\nAnswer: 1286484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 59?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 583 + -588. Let y = 35.72 - 0.72. Which is the second smallest value? (a) y (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -19. Let h = 150 - o. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12005 - -1?\nAnswer: -12004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/4 - (-2 - 0). Let v = -0.11 + 0.51. Let q = 105 - 105.1. Put h, v, q in descending order.\nAnswer: v, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, h: 3, y: 2, b: 4}. What is prob of picking 1 h and 1 b?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from bsxxakc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-60))\/(4\/10)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 29. Let h be 10*((-3)\/r - 4). Let g = -8 - h. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5316 or 5318?\nAnswer: 5316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -584*b + 197*b + 188*b + 191*b. Let d(r) = 0 + r + 0. Give d(u(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (33 + -3 + -4) - (6 - (-45 + 52))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 + 18 = -2*n, 4 = -r - 2*n. Suppose 2*t = r*h - 539992, -2*t + 8*h - 3*h = 539990. What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92282368*j**2*m + 179421744*j**2 wrt m.\nAnswer: -92282368*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1343768?\nAnswer: 2, 167971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 765 and 3145.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1282809 is divided by 106900.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23, -10, 17, 64, 137, 242?\n\"Answer: n**3 + n**2 + 3*n - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f - 1. Let i(o) = 5*o + 3. Suppose -4*a + 15 = -1. Let y(r) = r - 4*r + 3*r - 4 - 6*r. Determine a*y(j) + f*i(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477552 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14745579\/140 or 105326?\nAnswer: 105326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6939 equal to 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 27*j + 11. Let b be k(3). Suppose 449 = 5*p - 2*o, 2*p - b = o + 87. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000256144037 rounded to 5 decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069 divided by 7?\nAnswer: 1069\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23335*n + 19*k = 23330*n + 62, 5*n + 4 = 3*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 smaller than 26273\/96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**2\/2 + 14*w - 6. Let z be r(12). Let n be 3\/z + (-21)\/7. Which is the second biggest value? (a) -1 (b) n (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15982?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 1:17 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -31*f**3 - 6*f**2 - 6*f + 6. Let s(i) = -62*i**3 - 13*i**2 - 13*i + 13. Suppose 0 = -2*a - 3*d + 9, -8*d - 32 = 25*a - 29*a. Give a*s(g) - 13*u(g).\nAnswer: 31*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3278.656 * -201.\nAnswer: 659009.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllllljlllllllllllll?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h - 15, -2*r - 15 = 5*h. Calculate the remainder when 23 is divided by (-9)\/r*70\/(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/5 of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 117 - 116. Let r(m) = -277*m + 4. Does 23 divide r(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**6\/10 + r**4\/3 + 3*r - 4. Let a(z) be the first derivative of s(z). Find the third derivative of a(b) wrt b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3074 - -366. What are the prime factors of g?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - m - 107 = 0, 8 = -5*m + 33. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1651 + 1657 = -2*q, -q = -5*v + 103. Which is bigger: 13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.16.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -20*a**2 - 3*a - 1. Let p be 5*((-3)\/5 + 0). Let l be s(p). What is the greatest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*m + 55*m = -55*m + 104. Sort 3, m, -23 in increasing order.\nAnswer: -23, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5 - 6*f**4 + 126*f**3 + 384*f**2 + 381*f + 126.\nAnswer: -3*(f - 7)*(f + 1)**3*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 792 and 11874.\nAnswer: 1567368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 1)*(0 - 4 + 2) + (-3 + 4 - 2)*(-250 - 320 + 215))*(-2*a - 1 + 1).\nAnswer: -706*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 43*z + 401. Give n(-35).\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0\/3 - 114\/8 and (-184)\/(-20)*10\/(-18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyyglgyg. Give prob of sequence glg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*w - 8*w - 933 + 931 + 7259*w**3 + 12*w**2 + 19*w wrt w?\nAnswer: 43554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 116, 239, 374, 527, 704, 911, 1154?\n\"Answer: n**3 + 116*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 613 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 23*n**2 - 179*n + 13. Determine t(29).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 504797624 to the nearest integer?\nAnswer: 22468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 5*c**2 + 7*c - 5. Let d be m(3). What is the units digit of 9\/d*-12*14\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -9. Suppose 0 = -j*u - u + 34. Suppose 0*m + 5*b = 3*m - u, -5*b + 38 = m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = 9*k - 59*k + 16*k. Solve 18*l - 105 = -k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29171.\nAnswer: 31, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2960994 is divided by 662.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*5\/9*(-138)\/(-23).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 35, -1\/12, -3, -0.07?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.2 + -6. Round s to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2450218 to the power of 1\/2, to the nearest integer?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) 1736\/45 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78390938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 + k - 32. Let f = -13557 - -13557. Determine m(f).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 39 + 123 = 0. Suppose 161 + v = 5*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 364?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 11636919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1554.39 micrometers?\nAnswer: 1554390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1020\/306*(-1)\/(-15).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31a226 (base 14) to base 10\nAnswer: 1679754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 divided by -5?\nAnswer: -424\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8526)\/1127*(2 + 38\/(-18)) + (-24)\/36?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 - (1 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 333.\nAnswer: -99.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14828059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - v**3 - 23*v + 23*v - 38.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -203 - -266. What is the remainder when p is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39533949.\nAnswer: 3, 7, 13, 48271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 16*r**2 - 24*r. Suppose -4*d = m - 8 - 28, 87 = 4*m - 3*d. Let f(o) = -3*o**2 + 5*o. Determine m*f(u) + 5*p(u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 5*s - 7. Let u = -10 + 41. Let f = u - 7. Let v be 1*-7*f\/28. What is i(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 8. Let w be y(6). Sort -2, 0, w in ascending order.\nAnswer: -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629476667?\nAnswer: 4931, 127657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*s - 62 - 142 = 0, 2*k = 5*s + 85. Let f = k - 34. Calculate the least common multiple of f and 202.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*z = 60*z + 71140. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 53 = 33 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 13*y**2 + 5*y + 39. Let i be k(12). Is 0 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -743, -1011, -1271, -1523, -1767?\n\"Answer: 4*q**2 - 280*q - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**4 + 3*v**2 + 16*v. Let i(f) = -5*f**4 + 2*f**2 + 17*f. Let x(u) = 2*b(u) - 3*i(u). What is the second derivative of x(c) wrt c?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngcn when four letters picked without replacement from {g: 2, n: 1, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - z + 2*z)*(2*z + 4*z - 7*z) + (-17*z**2 + 7*z**2 - 13*z**2)*(-3 + 3 - 2)*(1 + 2 - 1) as x*z + l*z**2 + o and give l.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 663597?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-1701)*18*(27 + -39).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2912546 is divided by 2290?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.85 - 124.85. Let q = 124.0102 + z. Round q to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320200457 and 713.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -34512*m + 34514*m - 19 + 2. Calculate c(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35831.95 times 3?\nAnswer: -107495.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 + 3*f + 3. Let g(l) = 2*l**2 - 2*l - 2. Suppose -5*u + 7 + 3 = 0. Calculate u*o(h) + 3*g(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 46.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.8*0.379.\nAnswer: 3.3352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**2 - 3*x**2 - 3*x**2 + (-5 + 0 + 1)*(-1 + 3 + 0)*(401*x + 3*x**2 + 0*x**2 - 389*x).\nAnswer: -26*x**2 - 96*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 1. Let k(t) = -7*t + 41. What is k(z) - 6*p(z)?\nAnswer: -z + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8 + z - 16 + 24. Suppose 5*u - 3*r - 2*r = -10, -2*u - 4 = 4*r. What is k(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 5*h + 2. Give q(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 9*m**2 - 35*m + 18. Let y(k) = k**3 - 9*k**2 - 34*k + 19. Let a(v) = -4*j(v) + 3*y(v). Determine a(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2 - 4*k + 1. Let y(o) = -o**3 - 13*o**2 + 8*o - 2. Let p(t) = -5*f(t) - 2*y(t). Is p(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 12 = 4*o - 29*p, 12 = 5*o + p. Solve 6 - 5 = o*s + x, 0 = s + 3*x + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 47*p**2 + 88*p + 90. Let v be f(45). Let r = -78 - -45. What is the fourth biggest value in -0.5, 0.4, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37088149*z**3 - 3571*z**2 - z - 3155 wrt z.\nAnswer: -222528894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - p - 12. Suppose -p = -0*r - r - 2*d, 5*d - 10 = -r. Suppose r*u - 2*u + 2*t = -28, 3 = -t. Solve 2*l + 3 = u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-11\/4)*k**(-2\/9)\/k)\/(k**(5\/6)*k*k**(-14\/3)\/k*k) assuming k is positive.\nAnswer: k**(193\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5\/7 - 1621*r**4\/7 + 37161*r**3\/7 - 77857*r**2\/7 + 50695*r\/7 - 8382\/7 = 0.\nAnswer: 1\/4, 1, 22, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 7*w - 10 = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - -2)*18\/480*-4. Factor -1\/4*o**2 + o - 1\/2*o**3 + k.\nAnswer: -(o + 1)**2*(2*o - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58.059407331 - -0.059453331. Let o = 58 + p. Round o to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 422 and 2321.\nAnswer: 4642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-41)\/(4 - (5 + -2)). Let t = 76 + c. What is the highest common divisor of 14 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54644 divided by -5\nAnswer: 54644\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvfffv. Give prob of sequence fv.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*c = -502, -518 = -6*z + 4*z + 3*c. Calculate the highest common divisor of z and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2549*u - 51491?\nAnswer: -2549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 c when four letters picked without replacement from cwwwwcwwwwwww?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9201 rounded to two decimal places?\nAnswer: 5.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 23 = 5*j. Suppose -4*u = 0, -j*u = -x - 16*u + 7. What is the smallest common multiple of 6 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -448739, -448787, -448849, -448931, -449039, -449179?\nAnswer: -449357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56931479 divided by -2281?\nAnswer: 24959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1033502504 + -1?\nAnswer: 1033502503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 241 - 1203\/5. What is the closest to d in -5, -13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20549 - 3525. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -41*t**2 + 1737*t + 2. Let u(k) = -20*k**2 + k + 1. What is -o(i) + 2*u(i)?\nAnswer: i**2 - 1735*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, 0.32, -19, 0.1 in increasing order.\nAnswer: -19, -4, 0.1, 0.32, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1768 is divided by 405?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 3*n. Let d be m(3). Suppose 0 = 4*g + 2 + 10. Let v be -5*g\/45*-2. Are v and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1556 - -1560. What is the third biggest value in -0.208, -0.2, t?\nAnswer: -0.208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o - 4. Is 15 a factor of 6\/2 + o + 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66769 (base 11) in base 4?\nAnswer: 113213302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 1125.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**3 + v**2 + v. Let g be f(-1). Solve g*m = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + 1*(sqrt(65) + (sqrt(65) - (sqrt(65) + sqrt(65)*-2))))\/(sqrt(25)\/(2*sqrt(5) + sqrt(5))) + 2.\nAnswer: 2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -160, -240, -320?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -32*d**2 + 13. Let r(b) be the first derivative of 2*b**2 - 5798. Determine r(x(a)).\nAnswer: -128*a**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 17. What is the hundreds digit of (2 + -163)\/(-1 - f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2202 divided by -2522.\nAnswer: 1101\/1261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 327694 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3694053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 divided by -2?\nAnswer: -421\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -210*j + 3. Let v(w) = w + 2. Determine t(u) - 2*v(u).\nAnswer: -212*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 10:55 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w - 138. What is x(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, 6 in increasing order.\nAnswer: 2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -84*d**3 - d**2 + 5*d - 1. Let c be f(-4). Let n = -3070 + c. Suppose 11*y = -784 + n. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.149 - 0.793. Let h = d - -0.144. Let r be ((-9)\/(-12))\/((-10)\/8). What is the closest to -0.2 in h, -1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 13416.9.\nAnswer: 13417.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/409 and 95\/52?\nAnswer: 21268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 2 (c) -5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, 619, -3 in decreasing order.\nAnswer: 619, -2.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 2:02 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Solve l = 4*n - 21 + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699178571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2\/7 - 2676*c\/7 + 31968\/7 = 0. What is c?\nAnswer: 12, 2664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -1\/5, -2\/13, 0.07, 0, 162?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3*p**2*y - f**3*y + 16*f**3 - 107*f + 1637250*p**2*y - 2*y - 3 wrt p.\nAnswer: -2*f**3*p*y + 3274500*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425430035?\nAnswer: 5, 85086007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 316973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -123804850 to the nearest 10000.\nAnswer: -123800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1279*s - 2555*s + 1272*s + 3 + s**2 as i + j*s + w*s**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/1*-9. Suppose -4*o = -6*d + q*d + 22, -3*d - o + 2 = 0. Suppose -d*x - 2*x + 2*m + 22 = 0, -2*m = 4*x - 34. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -151770 - -593253\/4. Let b = x - -3479. What is the common denominator of 93\/8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-93)\/(-6))\/((-2)\/(-4)). Suppose -4*w + 70 = 2*d, 3*w + x = 4*d + 111. Let j = w + -15. Solve -j*q - 4 = -3*i + 17, 4*q + 8 = -2*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/10*(-95)\/(-57)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -847*q**4 + 2*q**2 + 519.\nAnswer: -20328*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -65*x - 712. Give v(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10235291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 751, 766, 781?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204.10430062 + -172.104301. Let q = 32 - g. Round q to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.2 (c) 26\/7 (d) 292 (e) -459\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87 and 12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**5 + 888*l**3*r + 8586*l**2*r wrt l?\nAnswer: 180*l**2 + 5328*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/47? (a) 0.53 (b) 3\/2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 71. Calculate the remainder when 124 is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19925 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 + y + 3. Let f(t) = t - 1. Give -f(a) + o(a).\nAnswer: -4*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28667 divided by 109\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 573*s**6\/10 + s**4\/6 - 277*s**2\/2 + 113*s. Find the third derivative of v(z) wrt z.\nAnswer: 41256*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443548419 take away 86?\nAnswer: -443548505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331557, 331548, 331553, 331578, 331629?\nAnswer: 331712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-7)*28\/(-8). Suppose 14 = a*m + 2. Solve -15 = m*r - 3*j, -2*r + 5*j - 3 - 7 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 6. Let h be n(-12). Suppose -h*s - 1 = -19. Let o be 4\/(-2) + 6\/s + -4. Sort 0, -5, o.\nAnswer: -5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - z - 502 = 0, -648 = -4*f - 3*z - z. Let g = 45 + f. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -433 - 203?\nAnswer: -1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -9. Suppose 3*y = 2*y + 6. Solve 5*o + y + 10 = t*r, r + 7 = -5*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*w + 6192 = -26*w - 22*w + 10967 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 402474671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2074 and 1020.\nAnswer: 62220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -0.8166.\nAnswer: 0.048996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*s - 5. Let m(n) = -n**3 + 8*n**2 - 8*n + 3. Calculate the remainder when m(s) is divided by (6\/4)\/(9\/60).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*m = -94*m - 884158. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 0*h**2 + 10*h - 47 + h**2 + 2*h + 59. Determine z(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -3 (c) -61 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3563*a = -4482*a - 868860 for a.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 38*k - 74. Solve l = -k*f - 3, -l - 3*f = 2*f + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57181459.603 - 18351.\nAnswer: 57163108.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/7 in 3\/5, -4, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 623570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285856 is divided by 1606.\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 + (-22 - -6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56943 is divided by 234.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -14. Is (-117)\/c - (-8)\/(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + v + 219. Let y be c(15). Suppose 4*f - y = -5*p + 8*f, -15 = p - 5*f. What is the smallest common multiple of 4 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -199*i - 10. Let z(b) = 49951*b + 2508. Determine 1254*l(u) + 5*z(u).\nAnswer: 209*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*(n\/((n*n\/n**(-7))\/n))\/n*n)\/n**(-2\/23))\/((n\/n**(-4\/9))\/n*n*(n**8*n)\/n))**26)**(-6\/19) assuming n is positive.\nAnswer: n**(165308\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + g + 1. Let q(t) = -t - 9 - 3*t + 7*t**2 + 0*t. Let k(s) = 5*j(s) + q(s). Let h be k(-3). Calculate the greatest common divisor of h and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 5\/((-60)\/(-9)) + 0. Let p be 18\/(-20) - 4\/(-10). What is the smallest value in -3\/4, p, v, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134140 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k - 4 + 4)*(-k + 4*k - k) + (3*k + k - 2*k)*(-16*k - 7*k + 6*k))*(-2*k - 3*k + 3*k).\nAnswer: 72*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -268*r + 546. What is z(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*c - 38, -h = -5*h - 3*c - 12. Let r = -4 - h. Calculate the lowest common multiple of r and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -120 - 110 + 344 - l - 114. Let m(p) = p**3 - 4*p - 1. Determine -2*k(t) - m(t).\nAnswer: -t**3 + 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5603 + 5644. Solve -39 = -g*b + 28*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*r - 46*r - 41*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 40*i + 10. Let k(w) = -69*w - 20. Let t(d) = 7*f(d) + 4*k(d). What is t(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**7\/840 - k**6\/360 - k**5\/120 + 7*k**4\/24 + 28*k**3\/3 - 16*k**2. Let m(s) be the first derivative of w(s). Calculate m(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45653062?\nAnswer: 2, 7, 13, 250841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6003587?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4749 + 7886. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4109842, 4109876, 4109932, 4110010, 4110110, 4110232, 4110376?\n\"Answer: 11*i**2 + i + 4109830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -0.8. Let u = -1 + 0. What is the second smallest value in u, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2956 - 2937. Let m(g) = g**2 - 4*g - 5. What is the remainder when w is divided by m(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2. Let l be v(-2). Let z = -6 - l. What is the units digit of z\/(-1) + (7 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963908*a + 135 = 963953*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -16*r + 1884. What is k(116)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + -1*(-4*(sqrt(684) + -1) - sqrt(684))*-5)**2*-1.\nAnswer: -1712500 + 30000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-12)\/16*17*(-62)\/49011?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 6)*(i + 2*i - 5*i) - 5 + 5 - 3*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 84*o**2 + 95*o + 3. Calculate w(-3).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 106 + 141 = 0. Let j(f) = f**2 - 3*f - 18. Let h be j(y). What is the greatest common divisor of h and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 - 4*d**3 + 3*d**3 - 2*d**3 + 3*d**3 + 0*d**3 + (0 - 3*d + 0)*(4*d**2 - 4*d**2 + 2*d**2) + (0*d**2 + 0*d**2 - 3*d**2)*(-d + 0*d + 6*d).\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -15. Suppose 0 = -4*n + 20, -2*n + 10 = -d*p + p. Solve -5*h - 5 + p = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.73543ng to micrograms.\nAnswer: 0.06273543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5378477 and 15912?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/y**7))\/y*y*y*y*y**(2\/7)\/y)\/((y*y*(y*y**(-2\/9))\/y)\/((y*y**(5\/2))\/y)) assuming y is positive.\nAnswer: y**(1009\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99624 is divided by 1215?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 710?\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*d**3*l**4 + 3*d**3*l**2 + 3*d**3*l - d**3 - d**2*l - 92*d*l**3 - 28*d*l**2 + 86*d + 7878*l**4 wrt l?\nAnswer: 456*d**3*l - 552*d + 189072*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1*sqrt(7))*-5 + 4 - (5 + sqrt(112)*-6).\nAnswer: -1 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-170)*(-3)\/((-30)\/85). Sort 139, -1, b, 0 in ascending order.\nAnswer: -1, 0, b, 139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-12)*2\/(-6). Let v be (-1210)\/(-660) + 10\/(-3). Which is the smallest value? (a) 1.7 (b) -5 (c) x (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctcccccccccccccctttc. What is prob of sequence tc?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 172455?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v. Let k(c) = 2*c - 9*c**2 - 6*c + 4*c. What is k(z(f))?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181127414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddrdrdddddr. What is prob of sequence dd?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1531364, -3062684, -4594004?\nAnswer: -6125324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-6)*(-45)\/(-25).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22134 - 14527 + 29691 + 13460 + 13331)*(6*h - h - 3*h) to y + o*h and give o.\nAnswer: 128178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3028131497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fooofoffjjff. Give prob of sequence of.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 256200 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g - 47. Let b be a(-12). What is the highest common factor of b and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.42, 4, -2, -1, 2\/5 in ascending order.\nAnswer: -2, -1, 2\/5, 4, 5.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1534302 (base 9) to base 2\nAnswer: -11001111011001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 968, 3, 81 in descending order.\nAnswer: 968, 81, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (36\/(-87))\/6 + (-485387)\/(-203)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -147 + 166. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 1027094*p - 1027093.\nAnswer: -(p + 1)*(p + 1027093)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2436374 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(2\/29)*i)*i*i**(1\/32)*i**(7\/9)\/i**(3\/5) assuming i is positive.\nAnswer: i**(47609\/41760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212 - 68. Suppose -4*w + c = -10*w. What is the tens digit of 2 + (-3678)\/w + (-2)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 44 = -j, -5*j + 7*j = 12. Calculate the remainder when 695 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5 - 53*p**4 + 550*p**3 - 496*p**2 = 0 for p.\nAnswer: -62, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71519, -71502, -71457, -71372, -71235, -71034?\nAnswer: -70757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 159059016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 243 + -240. Suppose 17*d = f*d + 840. Calculate the greatest common divisor of 80 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 242, 592, 1260, 2348, 3958?\nAnswer: 6192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r = -155 - 85 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(567))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 6.2460733485?\nAnswer: 1.2460733485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 120*d*j + 4253*d - 126*j**4 + 1 wrt j?\nAnswer: 120*d - 504*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 36*k - 12. Give p(9).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.9 - 98.1. Let b = a - -79. Let q = b - -26. What is the second biggest value in 5, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345224078?\nAnswer: 2, 172612039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 10 = 3*o + 2, 3*p = -5*o - 4. Is ((-20)\/12 + p)*171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 34. Let m = 26 + v. Suppose 0 = 6*y - m*y. Solve 4*a - 3*t - 15 = 0, y*a - t - 5 = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**2 - 47*p + 137. Determine y(-10).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74384773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((17*h - 198 + 198)*(-4 + 3 + 2) + 2*h - 2*h - 2*h)*(-1 + h + 1).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.02645 (c) 0.5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-63576)\/254816 - (-2)\/8. Let v = -692501\/557410 - a. Let b = -8143\/6 + 1362. What is the common denominator of b and v?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from qcbggclqgqbqbbbmc?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 13*i - 9. Let b be n(12). Suppose -2*l = -2*x - 128, b*x + 11 = -4. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 48371 and 4.\nAnswer: 48375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 - 6*w + 3. Let l(o) = -2*o**2 - 5*o + 2. Give -3*c(t) + 4*l(t).\nAnswer: t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (22 + 24 + -23).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925054 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101.88 - -97. Let u = 0.12 - x. Put u, -2, -1 in ascending order.\nAnswer: -2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 14*u - 60. Let d be (-2*(-11)\/6)\/(22\/(-66)). Is a(d) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 12*u**2 + 18*u + 3. Let r be -2 + 60\/(15\/3). Let g be z(r). Round g to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 - z**2 + 7*z + 4. Calculate k(-3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2543 and 9.\nAnswer: 22887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480*w = 479*w - 14. Which is smaller: -29\/2 or w?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 3)*(b - 2*b**2 - b) + 1702 - b**2 - 1702 in the form y + s*b + a*b**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 16 = -5*s + 4*s, 2*s = -3*r - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.66 + -0.0066.\nAnswer: 14.6534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 9:31 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 515*(5862\/(-84999) - (368\/(-290) + 1))\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1157.9259 + 1158. Round a to three decimal places.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = r. Let h = r + 14. What is the remainder when 19 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5180025 times -0.8\nAnswer: 4144020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*r + 2*r + 3*r)*(-13*r + 0*r - 2*r)*(4 + r - 4) + (-2*r + r + 3*r)*(-2*r + 2*r + r**2) + r**3 - 1 + 1.\nAnswer: -297*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 283\/712256 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwnwwywznwtzzznwzy. Give prob of sequence zn.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 540\/(-20)*(3\/(-24))\/(9\/12).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:58 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*a + 3*a - 6*a)*(127592*a + 3*a**3 - 113*a**2 - 127592*a) + 3*a**4 + a**4 - 3*a**4 + 2*a + a**4 - 2*a.\nAnswer: 32*a**4 - 1130*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162 - -77. Let r = 257\/3 + u. Which is the second biggest value? (a) 15 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 4*d + 3*d)*((5*d - 2*d - 4*d)*(-3 + 3 - 2) - 23*d - 19*d - 4*d + (-3 - 2 + 3)*(-d + 2*d - 3*d) + 3*d + d - 3*d).\nAnswer: 78*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*b - 156 = -55, 0 = -11*z - 8*b - 124 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 23 = 5*f, 2*x = 2*f + 6 - 16. Suppose -v - f = -6. Suppose 17 = 4*j - v*s - 9, -2*s = -j + 8. Solve -j*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2950 - 0.4.\nAnswer: -2950.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 425510551 (base 6) in base 12?\nAnswer: 2642457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 248237985 and 25.\nAnswer: 1241189925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-20)*-15*-4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8773 and 161?\nAnswer: 1412453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(20) - sqrt(240)\/sqrt(12)))\/((-3*sqrt(4) + sqrt(4))*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2503 + -1395. Let p = z + -479. What is p rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 160400*q**2 - 572989*q**2 - 283352*q**2.\nAnswer: -695941*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 77 = 6227. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1536197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3166b + -2?\nAnswer: -3166d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1621816, -3243631, -4865446, -6487261, -8109076?\nAnswer: -9730891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*b**2 - 961*b - 31979?\nAnswer: 24*b - 961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/7 + 11733*q**3\/7 + 1257285*q**2 + 1707381575*q\/7 = 0. What is q?\nAnswer: -10943, -395, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 6*p + 7. Calculate the least common multiple of (6\/3)\/(-15*62\/(-63705)) and f(-5).\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*(g**(-8\/7)*g)\/g*g)\/g*g)**(-1\/19)*g**(-44)*g**31\/g assuming g is positive.\nAnswer: g**(-1882\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -473 + 744. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1418, 2357, 3298, 4241, 5186, 6133?\nAnswer: 7082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10230.\nAnswer: 2, 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8201*i - 69 = 4096*i + 4102*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2200819)\/(-18575720) + 6\/(-80).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + j - 39. Determine w(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2124789.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.711 - -15.782. What is v rounded to 1 decimal place?\nAnswer: -14.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 8:52 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 8*f + 11. Let v be i(-5). Let y = -15 + v. Solve 2*k = y + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 247, 491, 733, 973, 1211?\n\"Answer: -q**2 + 247*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 3\/2*g**2 + 2*g + 1 + 15\/4*g**4 + 0*g**3. List the prime factors of p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -129\/8?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -25*(357\/(-45))\/(-7)*12. Let n = -134 - o. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 33. Suppose q*t + 1780000 = t. What is t rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s + 97*s**2 - 3 + 0*s - 98*s**2. Let c be ((-7)\/2)\/(1\/2). Let u be r(c). Calculate the highest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83707 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4231700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38*5\/40*-8)\/(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/15895 and -71\/40714320.\nAnswer: 447857520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020177682 to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/((9\/(-3))\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-3))\/((-2)\/40*(-43)\/(1032\/240)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2226257499?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7531+0.08\nAnswer: 7531.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {t: 1, n: 7, j: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(231\/55 - 4). Solve 0 = 3*p - p - t*m + 7, 3*p + m + 2 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**5\/30 - 25*l**4\/24 - 7*l**3\/3 + 5143*l**2. Give z(12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 0) + 2 + 2 + -2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 - 159*x**4 - 40*x**3.\nAnswer: x**3*(x - 40)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -103?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from {w: 9, e: 1, t: 1, n: 7}?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + l + 75 + 437 = 0, 2*i = 5*l + 337. Suppose 2*v + v - 78 = 0. Suppose q + 7 = v. Calculate the highest common divisor of i and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a factor of 76406976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, 81, 193, 313?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v - 59 - 13 = 39. Suppose 2\/5*q**5 + 4\/5*q**4 + 2\/5*q**v + 0*q + 0 + 0*q**2 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 11:50 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -17*m + 16. Let c(u) = -10. Determine -3*c(h) - x(h).\nAnswer: 17*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/52)\/(r\/r**29*r))**(-27))**(-8\/13) assuming r is positive.\nAnswer: r**(75870\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 15 = 5*r, 137*r - 140*r = z + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281 - (-1 + 10 + -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k = -4*x - 43, 141*k - 18 = 5*x + 138*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111294 and 12137.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64420.\nAnswer: 2, 5, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -11. Let p = 20 - i. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17361*g + 4977*g + 10813*g + 1865*g - 1078*g in the form j*g + k and give j.\nAnswer: 33938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 48057147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 224\/49 + -4 + -1. Which is the nearest to 9? (a) -1 (b) g (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3553, -26.\nAnswer: -26, 4, 3553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.9 + -85.3. Let x = -8008 + 7928. Let i = x - m. Is i < 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -11*n**2 - 7*n - 6. Let l = -5 - 1. Let p(f) = -22*f**2 - 15*f - 13. Let j(o) = l*p(o) + 13*k(o). What is the second derivative of j(b) wrt b?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2, -4*k - 24 = 3*q - 8*q. Determine u so that 4 + 80*u**3 - 12*u**2 + 14*u**5 - 14*u + 4*u**5 - 88*u**q + 12*u**5 = 0.\nAnswer: -2\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-12 - -11 - (-5 + 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-4 + 6\/2). Suppose -17 = -r + c. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -5)*(2 - 402) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afz when three letters picked without replacement from icaqzfzfi.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1158*l**2 + 2085*l + 9. Let w(j) = -291*j**2 + 521*j + 2. Let x(n) = 2*p(n) - 9*w(n). What is the second derivative of x(h) wrt h?\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -322.3 + 322. Let h = 0.1 - 0.1. Let v = 188 - 753\/4. What is the nearest to v in h, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-9)*-15*(-29)\/(-4350)*76\/(-10)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a - 11. Let b(x) = -7*x - 23. Let d(z) = -6*b(z) + 13*w(z). Suppose 4*f - 20 = -0*f. Is d(f) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -83c + -4?\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*o**5 + 1126*o**4 + 72*o**2 + 55.\nAnswer: 3600*o**2 + 27024*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81834735 is divided by 4809.\nAnswer: 4791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 152\/95*-1*(60 - 1). Let k = i - -94. Let d = 153\/4 - 37. Sort k, d, -1\/7.\nAnswer: k, -1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**2 + 61*l + 651. Determine h(-8).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d - 33. Let y be j(8). What is the hundreds digit of y\/(-2) - (-3)\/6 - -172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*f**3 + 89*f**3 - 47*f**3 - 45*f**3 - 50*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l + 4 - 4)*(-4 - 3 + 4 - 5 + 3 - 1 + (-7 + 11 + 1)*(0 - 2 + 1)) to the form p*l + x and give p.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 6*w - 297. Let l be g(0). What are the prime factors of l\/(-132)*(84 + 0)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10773237, -10773235, -10773233, -10773231?\nAnswer: -10773229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -4, -3 in decreasing order.\nAnswer: 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115776778*y**3 - 323031*y**2 + 28 wrt y.\nAnswer: -694660668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211351 a multiple of 1462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25a4a (base 11) to base 3.\nAnswer: -1220000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*m**3 + 296?\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1167, -2672, -5259, -8922, -13655, -19452, -26307?\n\"Answer: b**3 - 547*b**2 + 129*b - 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 - -91.6. Which is the closest to m? (a) -0.1 (b) -2\/13 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h, 0 = s + 4*h + 176 + 7. Let d(o) = -o**3 - 4*o**2 + o + 1. Let r be d(-4). What is the common denominator of -7\/6 and r\/9 + s\/(-36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-170)\/100)\/17)\/((-8)\/10)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -3142, -678?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(90\/12) + (-20)\/(-6). Suppose -o - 14 = -m, -2*m - o - 32 = -l*m. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (2*1\/(-25) + 14916\/825)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1987\nAnswer: -4\/1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (33 - (6 - 0) - 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -28)*2\/(-26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + (0 + sqrt(343))*3 + -2 + 3))**2 + 5.\nAnswer: 1512*sqrt(7) + 111173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m + 14. Suppose 8*u - 6*u = 28. Let g(q) = -3*q + 5. What is u*g(j) - 5*s(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49796.72 milligrams in micrograms?\nAnswer: 49796720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 2*t - 5*f, 47 = -t + 3*t + f. Calculate the greatest common divisor of 26 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4297168 divided by -16\nAnswer: 268573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2)\/((-1)\/6). Let t be 4\/6 - (-12)\/q. Suppose 3*k + t*k - 35 = 0. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 856 = -4*f + 8*s, 0 = 4*f - 5*s - 853. Suppose -5*m + 28 = -f. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -32839002?\nAnswer: -1\/10946334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -543, -2122, -4747, -8412, -13111, -18838, -25587, -33352?\n\"Answer: a**3 - 529*a**2 + a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 - 0 - (45 + 70 + -116).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -54, -3\/4, -44, -1\/6, -4, 2\/5?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28241 divided by -20?\nAnswer: 28241\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**3 + 110*l**2 + 205*l + 60. Let a(o) = o**3 + o**2 - o. Suppose 2*d = 151 - 153. Let f(y) = d*c(y) - 30*a(y). Factor f(k).\nAnswer: -5*(k + 1)*(k + 4)*(5*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 98706.69 micrograms?\nAnswer: 98.70669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -20 in decreasing order.\nAnswer: -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2561 + 2561.3. What is the smallest value in 0.01, f, -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125040 at most 125020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 667 = -667 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:32 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -749 (c) 1.04 (d) -5\/2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + b = -15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74077270 rounded to the nearest 100000?\nAnswer: 74100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o - 2*o)*(-11 + 1 + 27)*(3 - 1 - 8 + 4 - 5 + 3 + (-1 + 4 - 2)*(0 - 2 + 4) - 1 + 3 + 2).\nAnswer: -102*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -613957 - 12811122.\nAnswer: -13425079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4732d (base 14) in base 16?\nAnswer: -2a5bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 1. Let n(b) be the third derivative of -7*b**3\/6 + 262*b**2. Give -5*d(g) + n(g).\nAnswer: -5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -485 - -297. Let t = q - -289. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -10.847 in ascending order.\nAnswer: -10.847, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*d**2 + 85 + 58*d**4 - 19*d**4 + 62*d**2 - d as l*d**3 + c*d**2 + j + q*d + w*d**4 and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 7*k**4\/24 + 5*k**3\/6 + 158*k**2 + 3. Let h(g) = 21*g**2. Calculate h(z(b)).\nAnswer: 1029*b**2 + 1470*b + 525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i**3 + 11070*i**2 - 127257*i - 7524 = 0 for i.\nAnswer: -228, -1\/17, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 5:33 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 610903, 1221788, 1832673, 2443558, 3054443?\nAnswer: 3665328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 549 and 819274347.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q**2 - 3177*q - 1590 = 0. Calculate q.\nAnswer: -1\/2, 530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x**3 + 7*x**2 + 3*x - 3. Let q(k) = -6*k**3 - 7*k**2 - 4*k + 4. Let w(c) = 4*o(c) + 3*q(c). What is the third derivative of w(h) wrt h?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2976 and 288.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1857? (a) 2\/9 (b) -3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*m - 6*m + 57*m - 102*m)*((6 + 0 - 3)*(0 + 2 + 0) - 3 + 3 - 2 - 1 - 2 - 1 + 2 + 4 - 1) as w + f*m and give f.\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from {z: 5, p: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/10 + 1020\/25. Solve 22*t + 69 = -s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1646 + 608*q**3 - 619*q**3 - 827 - 819.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*d = 14, -8*d - 9 = n - 3*d. Which is smaller: n or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mekykekkkyves. What is prob of sequence my?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2756*l - 13 = -2753*l - 4*d, l + 4*d - 1 = -0*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338 = r - 344 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 214*h - 150*h - 384 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 + -93. Suppose 3*i = h*i - 14*i. Solve i = g + 2*o - 1, -3*g + 2*o = -19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 8. Let r(w) = x*w + 0*w**3 + 0*w**2 - 6*w**2 - 2*w**3 - 2. Let o be r(-8). Round o to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221202100221 (base 3) to base 14\nAnswer: -d2a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 8. What is the remainder when 68 is divided by d(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeebeeueubueee. Give prob of sequence uue.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295, -594, -893, -1192, -1491?\nAnswer: -1790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-9)*(-3960)\/(-176).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212 and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 3*h**4\/4 - 161*h**3\/6 + 2*h**2 - 46*h + 2. Determine q(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 28569.\nAnswer: 28565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(3\/5)*f*(f**(3\/8)*f)\/f*f*f)\/(f**1)**(-21) assuming f is positive.\nAnswer: f**(991\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5))**(-41) assuming i is positive.\nAnswer: i**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9414, -1663, 19382, 60369, 127946?\n\"Answer: 1108*g**3 - g**2 - 2*g - 10519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2 - 10, -4*v = -4*n - 28. Let l = 11 - v. What is the second derivative of 10*p - p**2 + 0*p**2 - 5*p**l - p**2 wrt p?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3574108 to the nearest integer?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f + 10 = 0. Let t be (f\/(-15))\/(1\/(-9)). Let s(g) = 6*g**3 - g**2 + g - 1. Let z be s(1). Solve 0 = -5*r + 3*p - 12, -4*r + 2*p - z = t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -594 - -608. Suppose 2*k - 14 = 2. Calculate the remainder when m is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -23. Suppose 2*p + b*p + 5*v - 19 = 0, p - 5*v - 36 = 0. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/19, -271.6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + t - 7 = 4*o, -5 = -o - t. Is 2 a factor of 202\/2 + 7\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*q**3\/2 + 5694164*q**2 + 3602610252285*q\/2 - 400290309225.\nAnswer: (q + 632685)**2*(9*q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccnnbnbc. What is prob of sequence bcb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) - (-26)\/6. Let y = -4.045 - -0.045. Which is the closest to y? (a) 1 (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -137212539, -137212540, -137212541, -137212542, -137212543, -137212544?\n\"Answer: -v - 137212538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 - 224?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -6 - 0. Suppose o + 3*o + 4 = 0. Let q = o - l. Solve q*x = 7*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frx when three letters picked without replacement from {x: 1, t: 1, u: 1, r: 1, f: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (22 + -20)\/((-1)\/2) - 849. Which is greater: -859 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172659 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/2 - 1\/2. Let w = d - -13. Suppose 0 = w*v - 0 - 16. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*x = 0. Suppose 0*l + 5*l - 11 = -n, n - 2*l + 17 = x. What is the units digit of 168\/27 - (-2)\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5 = 5. Let j be 33\/44 + (5 + -11)*11\/(-8). Solve -j = l*w + w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r = -g - 269, -338*r - 17 = g - 337*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -313*k + 17507. Give j(63).\nAnswer: -2212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(((((a**5*a)\/a*a)\/a)\/a)\/a)))\/a**2*(((a**(-2)*a*a)\/a)\/a)**(3\/10) assuming a is positive.\nAnswer: a**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 868093 and 9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17 and 114825227.\nAnswer: 114825244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6 - 6092*s + 14 + 2 - 9.\nAnswer: -6092*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/18 and 29\/17.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 2*t - 533. Let m = -525 + 750. Let p = t - m. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 20*m**2 - 8*m + 23. Suppose 0 = -s - 148 + 132. What is the tens digit of o(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11968.63 - 0.01799.\nAnswer: 11968.61201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/34322858 and 15\/1259.\nAnswer: 34322858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + (4 - -5) + 7?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -113370000 rounded to the nearest one million?\nAnswer: -113000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 + 14 = 5*s. Suppose 0 = 5*c - l - s, 3*l - l - 11 = -c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 8:41 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/39*((-4585)\/1743 + (-9)\/(162\/(-48)))\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 3. Let v be b(4). Let f = -6 + v. Suppose y + 8 + 51 = 4*u, -2*u - f*y + 47 = 0. What is the highest common divisor of 24 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + a)*(-3 - 1 + 5)*(-7 - 21 - 6)*(-1 - 2 + 5).\nAnswer: -68*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 147.3 and -3?\nAnswer: 150.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 58569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/44 and -75\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -361 - -370. Differentiate 2*i - f + 138*i + 19 + 4 wrt i.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -158 + 240. Let h = w + -79. Suppose -h*x = 4*x - 5047. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -153. Let z(r) = -24*r**3 + 8*r**2 + 31*r**3 - 8*r**3 - 5*r - 4. What is the remainder when f is divided by z(4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*d + 4, -3*m - 4 - 8 = -5*d. What is the tens digit of 11 - (-4 + m\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13897524, -13897515, -13897506, -13897497, -13897488?\n\"Answer: 9*b - 13897533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -179*h + 184*h - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-7)*3\/(-2). Let u be (-6)\/27 - 670\/(-18). Suppose -u = -4*y + x*y. List the prime factors of y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -163*b + 2775. Let d be m(17). Let s(x) be the first derivative of 0*x**3 - 5\/2*x**2 - 6*x**d + 0*x - 22. Find the second derivative of s(z) wrt z.\nAnswer: -144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 9. Suppose -f = -2*h - 1, -2*f - m*f = 4*h - 33. Suppose 0*p + h*c = -p + 1, -2*c = 2. Solve p*g = -0*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24407 by 5.\nAnswer: 24407\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583*r**3 - 258*r + 258*r.\nAnswer: 583*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m - 4. Suppose -20*b + 21*b = 4*j - 53, 4*b = -20. Let q(y) = 1. Determine j*q(s) + 3*f(s).\nAnswer: 33*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) -1 (c) 20\/7 (d) 914 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcxyx. What is prob of sequence qx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eme when three letters picked without replacement from {e: 10, m: 9}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 183*k**2. Let h(p) = 92914*p**2. Determine h(o(z)).\nAnswer: 3111596946*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r + 24*r = -7*r. Which is the third smallest value? (a) 1 (b) -5292 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.088 or 0.2?\nAnswer: -1.088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a + 4. Let h(z) = -z. Let b(s) = -5*h(s) - j(s). Let i be b(-6). Suppose 2*f - 108 = -4*c, i*c + 4*f = 21 + 33. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1749.09*-10.\nAnswer: -17490.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -688? (a) 2\/7 (b) 2 (c) 2\/9 (d) 2\/75 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 9?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (101\/(-4) - -24)*-1*(-12)\/10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11193567.24 rounded to the nearest one hundred thousand?\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*j + 2. Let z be -300*(-4 - -3) + j. Let g be (1 - (-2)\/((-24)\/(-201988)))*z. Round g to the nearest one hundred thousand.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2861132 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 145619.2647ns in weeks?\nAnswer: 0.00000000024077259375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*t**3 + 4*t**4 - 16*t**3 + 0*t + 2 - 17*t**3 + t as b*t**3 + c*t + x*t**2 + d*t**4 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 628 + 215 = 0. Find the first derivative of 44*g - 22 - m*g**2 + 29*g**2 + 29*g**2 wrt g.\nAnswer: -2*g + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004796 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3097*a + 12407. Determine x(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*a = 24, 4*x - 3*a = 6*a - 20. Solve -3*f - 4 = -x*v + f, -2*f = v - 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -22*a**2 + 157*a - 5944. Calculate d(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076033.\nAnswer: 7, 153719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 + 2414*z + 1830168\/5.\nAnswer: -2*(z - 6183)*(z + 148)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + 161 + 13*j**2 - 164 - 7*j**2 - j**3 in the form o + y*j**2 + m*j**3 + x*j + d*j**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**2 + 187*n + 44. What is o(47)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-54)*-1)\/(21\/(-63)). Let z(i) be the first derivative of 2\/27*i**3 - 2\/45*i**5 + 4 - d*i**4 + 0*i + 1\/9*i**2. Factor z(y).\nAnswer: -2*y*(y - 1)*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 2 + 1 - 2 + 2*y. Let d be o(-2). Suppose -p + 7 = 3*f, 3*f - 2*p + p + 1 = 0. What is the greatest common factor of d and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + 0*a - 3 + 5*a - 13 + 6*a**3 + 9*a - 2*a**2. Let o be u(1). Solve -o - 13 = -6*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7238, 1, -2226, 3 in ascending order.\nAnswer: -7238, -2226, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3 + (-16)\/(-6). Suppose 0 = -u + 5*v + 5, 4*u + 13 = -2*v + 33. Solve -2*d - u*h + 14 + 5 = 0, -r*h + 27 = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7556 + -15105\/2. Let c(h) be the first derivative of -1\/3*h**3 - 22 - v*h**2 - 4*h. What is c(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3\/3 + 1556048*f**2\/3 + 28009936*f\/3 + 87142720\/3 = 0. Calculate f.\nAnswer: -14, -4, 389030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7762493759.35975216 - -7762493251. Let x = d - -485.359753. Let l = 23 + x. What is l rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 362 = -2*i, 4*i + 6*d = 9*d - 724. Suppose w = 2*n + 299, -3*n + 161 = w - 153. Let r = i + w. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333054 (base 6) to base 4\nAnswer: -12303322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*q - 716, -4*l = -2*q + 7*q - 1432. Suppose -2*n + l = -36. What are the prime factors of n?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**(-2)*p)\/p*p)\/p)\/p*p*p**9*p assuming p is positive.\nAnswer: p**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - -1 - 10\/16. Suppose d = 2*d - 1. Suppose -h + d = h + 3*x, -5*x - 1 = 4*h. Which is the nearest to 1\/4? (a) -2 (b) h (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqutuluuzluut. What is prob of sequence qqz?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 24*f + 155 = 0. Suppose 0*l - l + f = 2*m, -40 = -2*m - 4*l. Let v(d) = d**2 + d + 6. Calculate the smallest common multiple of m and v(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-160)\/(-60)*6\/4. Suppose -3*x + 882 = v*x. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 4*v + 4, v + 52 = 2*w + 48 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 20*m = 16*m + 44, 16 = -4*m. Solve -4*o = f - 5, r*o - 11*o = 5*f - 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 509*d - 527*d = -414. Solve 0 = 2*s + 20*n - 17*n - d, 2*n - 26 = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*b - 24 = 0, 2*y - b = -0 + 9. Solve -3*c = -3*a + 19 + 8, -y*c - 23 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 2*h - 6*h + 78, 5*h = -25. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -3)*-5 + 2)**2.\nAnswer: -170*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(92\/115*(-10)\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7440263 to the power of 1\/2, to the nearest integer?\nAnswer: 2728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + sqrt(17))*5 + (sqrt(170)\/sqrt(10) + -2 - sqrt(17)).\nAnswer: -14 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + m - 20. Suppose -2*w + w + 2 = 0. What is the lowest common multiple of m and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 2*p - 9*p. Is ((-28)\/(-4) - p)*(1 + -15) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*o - 50 = 0. Let i = 7 + -2. Solve -o = -i*v + 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 5*k - 4*k)*(4 + 7 - 3 - 1 + 0 + 0 + (4 - 4 + 1)*(-2 - 3 + 4)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6042 - -24317\/4. Are h and 36 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 9*x + 21 - 41)*(-1 - 4 + 6).\nAnswer: -9*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2282, -2509, -2830, -3245, -3754?\n\"Answer: -47*i**2 - 86*i - 2149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47246122.\nAnswer: 2, 7, 11, 19, 67, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -19*x - 1014. Let g be b(-87). Are g and 1919\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.09 - 0.41. Let g = 1.8 + a. Let v = g + -0.1. What is the second biggest value in v, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((g\/(g*g**(-24)\/g*g))\/g))**(-36)*((g**(-13\/2)\/g)\/g)**27 assuming g is positive.\nAnswer: g**(1053\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**4 + 4*v**4 + 2*v**5 + (0*v**2 + 0*v**2 - 2*v**4)*(2*v - 2*v - v) + (2 + 2 - 2)*(-2 - 2 + 6)*(487*v**5 - 743*v**5 - 1450*v**5).\nAnswer: -6820*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -76487\nAnswer: -76469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 415540 and 152540?\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8036244 divided by -6\nAnswer: 1339374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in -4, -0.1, 3, 0, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 37443 = 2*q, 2*q - 26517 = -2*v + 48361. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -10\/11 (c) 3 (d) -1009850\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -54491 (base 10) in base 4?\nAnswer: -31103123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/246 and 23\/3.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/36)\/(2 - (-3 + 3)). What is the closest to -0.1 in 3\/7, 6, l, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -448 + 447.9. Is c != 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7384\/1095 (b) -0.3 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33587341 to the nearest integer?\nAnswer: 5795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 2. Let k be d(2). Is k + -1 - 360\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-2))\/(-2 + (-22)\/11). Sort -3, 2\/37, o, 1 in increasing order.\nAnswer: -3, 2\/37, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**5\/60 + 5*v**4\/12 + 83*v**3\/6 - 2*v**2 + 3*v - 1751. Determine g(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*6\/(-15) - 11\/(-1). Suppose 7*s = m*s - 18. Suppose -4*i = -3*c - 110399991, s*c + 3755381 + 51444610 = 2*i. Round i to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1222221020 (base 3) to base 15\nAnswer: -b9b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -2*x + 632. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2892104275?\nAnswer: 5, 115684171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 276?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 14 (b) 2\/15 (c) -4 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8526 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/961455 and -16\/513.\nAnswer: 164408805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxdddxqixvdiiq. What is prob of picking 3 d?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 12:43 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 2*c**5 + c**3\/3 + 22*c - 94. Differentiate o(r) with respect to r.\nAnswer: 40*r**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 22*c + 6 - 38*c**2 + 6 - 10. Let j be w(-7). Let a = -443 - j. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4) - 2)*9\/3996*-16?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 + 148206*o + 10982509218.\nAnswer: (o + 148206)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-77)\/396)\/((30\/(-450))\/((-16)\/(-6))).\nAnswer: 70\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 - 222 = -5*o - 5*r, -r = 2. Suppose -4*k - 8 = -5*h + 229, -75 = -2*h - 5*k. Let m = o - h. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2702 = -764*g - 17058 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**2 - 464*i - 13456 = 0.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:22 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/232)\/((-110067)\/(-55999)).\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 221 = -q, -q + 123 = 2*p - 4*q. What is the lowest common multiple of 11 and p?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -13, -11, -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 10:23 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/1*(-48)\/112 + 109.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 2*r**2 + 3*r + 4. Let j be y(3). What is the third derivative of -3*c**4 + 6*c - 6*c + 2*c**2 + 11*c**j wrt c?\nAnswer: 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 11737.\nAnswer: -2347.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u + 20*u + 0*u + 10*u in the form s + o*u and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 4 - 10*d**3 + 6 with respect to d.\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*m - 20 = -5*m, -8 = -5*z - m. Let b be (z*(-5)\/2)\/(-2). Let c be (-36)\/(-10) - (-13 - -16). Sort 5, c, b in decreasing order.\nAnswer: 5, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.38028 months to years.\nAnswer: 7.03169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = 18 + 73 - 7 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -6*b + 2*b - 3*d, -3*b + 190 = 4*d. Suppose -6*w - 44 = -10*w. Calculate the remainder when b is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7728.72 and 24.\nAnswer: -185489.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 615378\/17?\nAnswer: 615378\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (10 - 3))*((-620)\/(-30) + -19)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1408)\/42240)\/((-3)\/(-108)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(-1*sqrt(160)))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhv when three letters picked without replacement from hkyvkvvykkkkyvh.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 592 and 1045361.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9677, 1, -12, 5.\nAnswer: -12, 1, 5, 9677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-27)*(-20)\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 - 3*t**5 - t**5 + (2*t - 3 + 3)*(-t**3 + 55*t**2 - 55*t**2 - t**4).\nAnswer: -7*t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a hour?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**2*y**2 + 5*w**2*y + 9*w - 76*y**2 + 2*y wrt y?\nAnswer: -2*w**2 - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8196.8 + 8200. Which is the closest to 1\/2? (a) 0.3 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*n + 86, 10*c - 8*c - 89 = 5*n. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4259589 divided by 3.\nAnswer: -1419863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 + 8 + 2)*(-v - 3*v + 3*v)*(3 + 1 - 2) in the form k*v + n and give k.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2299098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 1 = -2*d + 9, -6 = -3*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v - 21. Let d(t) = -2*t - 11. Let y(h) = 5*d(h) - 3*f(h). Let p be y(4). Is p > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884951.\nAnswer: 884951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i - 23936 + 102497 = 0. Is i a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c**2 - 44*c**3 + 1 + 98*c**3 - 4*c - 55*c**3. Give x(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25449*f + 25449*f - 182*f**3 + (-f**2 + f**2 + 2*f**3)*(1 + 3 - 3) + 0*f**3 + 3*f**3 - 5*f**3 as l + w*f**2 + q*f + h*f**3 and give h.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-399)\/(-210) - 3)\/(27\/(-45))?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -52 and -758995.\nAnswer: 39467740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 16576.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.061 - -0.791. Let y = 33508 + -33507.27062. Let x = y - m. Round x to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:53 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15185 (base 9) to base 8.\nAnswer: -24174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 2*h - 7*h)*(-2*h - 3*h - 3*h) + 2*h**2 + 0*h + 0*h + (0*h + 2*h - 4*h)*(-h + 2 - 2) + 0*h**2 - 4*h**2 + 6*h**2.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 8 = 4*q. Suppose -9 - 6 = q*w. Let h(r) = 0*r**2 + 2*r**2 - r**2 - 2. Determine h(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**5\/60 - 103*a**2. Let v(w) = 22*w - 3. Calculate k(v(u)).\nAnswer: 484*u**2 - 132*u + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**7\/70 + p**6\/40 - 3*p**5\/20 - 5*p**4\/8 - p**3 + 16*p**2. Factor a(b).\nAnswer: 3*(b - 2)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**3*j**2 + a**3 - 2*a**2 + 10*a*j**4 - 76789*a + 15943*j - 5 wrt j.\nAnswer: -4*a**3*j + 40*a*j**3 + 15943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*r + 3467*r + 1233*r.\nAnswer: 4652*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(8 + (-10 - -46)\/(-4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-6))\/((-76)\/(-114)). Let z = 14 + -8. Solve g = -g + c, 3*w - z = 3*g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 14. Suppose 28 = -u + c*u. Suppose 0*a - a = -u. Calculate the greatest common divisor of 28 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, q: 1, h: 5, k: 1, a: 6, g: 2}. Give prob of sequence ku.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogogoooooo. What is prob of sequence oo?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3656 = 2*s + 3698, -12*s = n + 367 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -187, -279, -371, -463, -555?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17450 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c - 16 = 0, -2 = 2*u + 3*c. Let h(p) = -p**2 + 3*p**2 + 0*p**2 - p**2. Let s be h(-1). Solve -u*w - s = 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 12. Let v be s(7). Suppose v + 86 = 2*b. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 159\/306200 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88490454 and 17082.\nAnswer: 5694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 181728?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85283.67 litres?\nAnswer: 85283670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 2:05 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 11*z = -3*v + 10, 3*z + 6 = 0. Let d be v - (6 - 14)*1. Calculate the greatest common divisor of d and 890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 1240 = -5*x. Let j(w) = 85*w**2 + 4*w - 2. Let i be j(3). Suppose -q + 6*q = i. Calculate the highest common factor of x and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -54*p**2 + 281*p + 2. What is t(5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l + 6. Let i be (-68)\/(-5) - 2\/(-5). Let j = -8 + i. Let x = -1787 - -1786. Let h(a) = -a + 1. Determine j*h(g) + x*q(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26607 (base 10) to base 8.\nAnswer: 63757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(208) - (2 + sqrt(208)*1)))**2*5 + 3.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1345*l = -855*l - 1379*l - 293478 for l.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81865775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/291 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4074661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/26 - (-333168)\/(-312). Let k be ((-592)\/182)\/((-3)\/c). Let n = -1158 - k. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -1300?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -4, -3\/7, 53 in descending order.\nAnswer: 53, 1\/4, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2) + (-147017)\/(-86) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 51435\/120 + 9\/24. What is the greatest common factor of h and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 142958, 571891, 1286782, 2287631?\n\"Answer: 142979*q**2 - 4*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13130, 95645, 319614, 755765, 1474826, 2547525?\n\"Answer: 11788*k**3 - k**2 + 2*k + 1341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(2448) + 3*sqrt(2448) + sqrt(2448))*2 + -5*sqrt(2448) + -1)*-4 + -5)**2.\nAnswer: -54720*sqrt(17) + 35251561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 11:55 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7.5, -4, 1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a. Let u = -127 - -129. What is the remainder when (u\/(-6))\/((-11)\/165) is divided by v(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14995\/12 + 1248. Find the common denominator of b and -77\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 3*z - 115320*s + 115324*s, s - 6 = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3\/7)*q*q\/(q**12\/q))**(4\/9) assuming q is positive.\nAnswer: q**(-236\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**4 + j**4 + 6*j**2 + 2*j**4 + 0*j**4 wrt j?\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -8163*h + 8166*h - 6, 19 = 5*u - 4*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*k + 1016, -23*k + 21*k = -t + 251. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1679036*i. Let x(g) = -2*g. Determine x(o(r)).\nAnswer: 3358072*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 3.3. Let b = t + -3.5. Suppose r + 12 = -3*r. What is the second biggest value in -0.4, b, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 651 = -3*t, 4*l - 660 = -3*t - 0*l. Suppose 0*j - t = -3*j. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39730270*t**3 - 37195068*t**2.\nAnswer: -238381620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 441\/(-4) - 5\/(-20). What is the tens digit of i\/2*(-6)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5487 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*y = -1345361, 0 = -51*f + 54*f - y - 807204. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-66))\/(6 + 45\/81 + -7)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 16. Suppose g*t - 4*t + 20 = 0. Solve -3*l = -5*o - l - 22, 2*o + 3*l = -t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/5 of a hour?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (20 - 26).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/7 and ((-240)\/100)\/(((-95607)\/(-60))\/3)?\nAnswer: 24787","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 + 114. Let o = -5493\/17 - -323. Let q = 4.4 + -4. What is the second biggest value in d, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.68366um to meters.\nAnswer: 0.00006768366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000761558 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2724*g**2 + 2*g. Suppose r = 2*f + 2*f + 13, 4*f + 28 = 4*r. Let a be u(f). Round a to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**4\/8 - 6*l**2. Let j(z) = -4*z. Give t(j(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2696440?\nAnswer: 2, 5, 67411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 2*d**2 - d - 4. Let m be l(3). Suppose 66 = 4*i - m. Suppose -i = -n + g + g, 20 = 4*g. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 9) in base 6?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*q = 5*q - 58, -3*q = -o + 24. What is the remainder when 41\/((2*-1)\/(-2)) is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 divided by 2?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0.4 (c) 39 (d) 2\/31 (e) -1479\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1758 - -832. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 75 = p - 88, -p = 2*b - 9. What is the fourth biggest value in -212, 0, 4, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-705)\/(-940)*2\/9\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(2\/2))\/1*131\/(-255450)*65?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048854 is divided by 133.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 297, 587, 875, 1161, 1445, 1727?\n\"Answer: -w**2 + 293*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*j. Suppose -2*r - r + 28 = 4*a, j = 5*a + r - 24. What is the units digit of 16\/a*(-44)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = 18. Suppose -o = -3*j + 11, a*j - 2*j - 10 = -o. Let f(c) = 4*c - 3. Let l(g) = 5*g - 4. Determine o*l(i) + 3*f(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, t: 2, g: 2}. Give prob of sequence gtpp.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r**2 + 387*r - 297 = 0 for r.\nAnswer: -33, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) 2\/17 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178048 and 14848?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2085, 4027, 5993, 7995, 10045, 12155, 14337?\n\"Answer: 2*y**3 + 1928*y + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2 + 2*m + 6. Let g(y) = -y**2 + 1. Calculate -5*g(p) + u(p).\nAnswer: -p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 31, -1\/29?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-1 + 1414\/1407).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 3. Let f be y(2). Sort f, -2, 0 in increasing order.\nAnswer: -2, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 34*y + 2763. What is the units digit of v(29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/8*(-4)\/(-60)*-5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4, 3*m - 12*f = -15*f + 27. Calculate the least common multiple of m and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -823, 87301, -1 in descending order.\nAnswer: 87301, -1, -2, -823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12 + 4 = 0. Suppose 5*l - 30 = 50. What is the remainder when l + -1 + (0 - 2) is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, and 1 m when three letters picked without replacement from ppuyupuuppumpmtmmu.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 2335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024346 rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -174, 0, 1 in descending order.\nAnswer: 1, 0, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + x = 9, -x + 2*x - 24 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*m + 24, 0*c + 5*m = -c - 12. Let w(r) = -r**2 - 6*r + 12. Let v be w(c). Solve v*f + 20 = -0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*u - w + 1, 3*u - 12 = 3*w. Solve 10 = -5*k - g, u*k - g - 4 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003494564 rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3102 + 2130?\nAnswer: 11232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 145614 at least as big as -4.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 125206492237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 take away 177132843.22312?\nAnswer: -177132839.02312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67932 + 75872 = 27*n + 16364. What is the greatest common factor of n and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i**3\/8 + 3087*i**2\/8 + 53023*i\/2 - 129675\/2 = 0. Calculate i.\nAnswer: -150, -133, 26\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdxs when four letters picked without replacement from {u: 1, d: 7, q: 5, x: 4, t: 1, s: 1}.\nAnswer: 35\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*a**3 - 48*a**3 + 126*a**3.\nAnswer: 275*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6604b0 (base 15) in base 2?\nAnswer: 10010100010110010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(7 - (0 + 246\/(-6)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -12. Let w be ((-108)\/2400)\/(33\/(-12) + 2). Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -7\/5 (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 613 or 612?\nAnswer: 613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 25 = x, 3*c + 13 = -2. Calculate the least common multiple of x and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 2*f**3 - 6*f**3)*(3*f**2 - 7*f**2 + 3*f**2 - 2).\nAnswer: 3*f**5 + 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1226.9 + -1250.9. Is a <= 3\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 0.3, 169\/4, -2\/305, 3, -4, -5?\nAnswer: 169\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 556236 equal to 556234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - sqrt(684)*1) + (sqrt(19) + 1*sqrt(19)*-6 - sqrt(19)) + -4 + (sqrt(171) + 5)**2.\nAnswer: 24*sqrt(19) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 9. Let z(l) = 2*l**2 - 21*l - 41. Let o be z(12). Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125 - -174) + 14 + 1 - 22.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 20*k - 18. Let g be y(2). Suppose -15*t = -g*t + 525. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -548. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 3*b**3 + 2*b + (1 - 2*b**3 - 1)*(3 - 3 + 1) + 2*b**3 - 2*b**3 + b**3 to the form v + a*b**2 + u*b + l*b**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 960 + 3?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-108)\/96*-14 - (-1)\/4. Solve 3*u - o = -5*s, -4*s - 4*u + 7 + 1 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -2*o**3\/15 + 27*o**2\/5 + 56*o\/5 - 125. Determine g, given that t(g) = 0.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 z when four letters picked without replacement from zzznznnznnnzz.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + sqrt(2880) - (-1 + sqrt(2880) + 0) - (-1 + 1 + -1 + sqrt(2880) + sqrt(2880)))**2.\nAnswer: -96*sqrt(5) + 11521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**2\/2 + 1. Let z = 10 + -44. Let d = 32 + z. Let g(v) = v**2 + 1. What is d*g(f) - 2*y(f)?\nAnswer: -2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2441*h - 3441*h - 23006 = -205423 - 252851 for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4 (c) -2 (d) -39 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 32. What is the remainder when 36 - (0 + 3 + -2) is divided by ((-27)\/(-2))\/(y\/32)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -28. Suppose -5*j + 3*c = -2627, -5*j - q*c = -10*j + 2626. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m**4 - 12*m**3 + 36*m**2 - 2*m - 2. Let v(w) = -w**4 - 2*w**2 - w - 1. Let o(i) = q(i) - 2*v(i). Factor o(j).\nAnswer: -4*j**2*(j - 2)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77\/77888 - -39657149\/7399360. Let x = u - -41\/76. What is the common denominator of -61\/8 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 131*2\/(-70) - 2872\/(-2513).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-12 - -7) - (3 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.30311 rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 1. Let t(j) = 0 - j**2 + 3 + 0. Let n(v) = 5*q(v) - t(v). Let u = 9 - 13. Give n(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*k**3 + 12105*k**2 + 9696*k + 1940.\nAnswer: -(k - 485)*(5*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 161162\/(-2013) + 80 + (-160)\/(-1551)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1820 = 1136*y - 1188*y for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92045 + -92047. Suppose -2*x = -x - 116. Let p = x - 1278\/11. Which is the nearest to p? (a) -5 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 20*o**2 - 18*o + 19. Let s be i(-19). Let x = -36 + 38. Suppose 4*h + 68 = x*w, -w + 34 + 12 = -5*h. Which is smaller: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 3)*(-5)\/4. Suppose 0 = -2*x + l*x. Suppose x = -3*y + 15 + 27. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5874165.\nAnswer: 3, 5, 11, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -12219200 to the nearest one hundred thousand.\nAnswer: -12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -285, -298, -299, -282, -241, -170, -63, 86?\n\"Answer: v**3 - 20*v - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -25. What is the third smallest value in -2, 1, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3633, -7255, -10887, -14535, -18205, -21903?\nAnswer: -25635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/7)*z**(-1))\/((z*z\/z**(-6\/11)*z)\/(z**(2\/33)\/z)))**(11\/2) assuming z is positive.\nAnswer: z**(-650\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.7 + 8.4. Let c = 249 - 242. Let o = c + i. Which is smaller: 0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 7 = -3*n - 2*n, -2*m = -4*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335569?\nAnswer: 13, 83, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - -0.2. Let n be (-30)\/50 + 238\/280. Which is the closest to 2? (a) j (b) n (c) 0.1 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, 1, 9, 2, 8 in decreasing order.\nAnswer: 140, 9, 8, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9726699.\nAnswer: 3, 163, 19891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2894, 2895, 2896, 2897?\nAnswer: 2898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/144 and 55\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/89, -354 in decreasing order.\nAnswer: 4, 2\/89, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/3))**(4\/5))**12 assuming g is positive.\nAnswer: g**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-1))\/(-1)*(19\/(-1216))\/(19\/304)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -402 - -450. Calculate the highest common divisor of p and 848.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1045\/(-494) + 3)\/((-23)\/(-598)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 329, 611, 833, 983, 1049, 1019, 881, 623?\n\"Answer: -2*h**3 - 18*h**2 + 350*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 208680379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*x - 3, -3*o + 7*o + x = 21. Suppose -o*l = -77 + 32. Find the second derivative of -i + i + l*i**2 - 5*i + 2*i wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18772 greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -2*u**3\/9 - 6*u**2 - 34*u\/3 - 751. Solve t(p) = 0 for p.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 88, 60, 10, -68, -180, -332?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*o - 223 = -134*o - 4111 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1754 is divided by 206.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x - 1. Let m(a) = a - 1. Let s(h) = 6*j(h) - 13*m(h). Suppose 4*q - 12 = -d + 5*d, 0 = -d + 3*q - 13. Let r be (3\/6)\/(d\/16). Calculate s(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/2965102 and 67\/187929.\nAnswer: 26685918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glglgll. Give prob of picking 3 g and 1 l.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -70.772516499 and -0.2787.\nAnswer: -71.051216499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 6*u + u - 14788 + 14787 - 2*u + (4*u + 0*u - u)*(2 - 1 - 3).\nAnswer: -13*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 - 0. Let q be (-178)\/(-10) - (-2)\/10. Let h = y - q. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3))**(-1\/17)*(y**(3\/4)*y*y)\/(y**(-5\/4)*y) assuming y is positive.\nAnswer: y**(47\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:23 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -497 - -498. Which is the fourth biggest value? (a) -1 (b) -0.4 (c) j (d) 2\/211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 13 = -3*j, -27*d + 28*d - j - 9 = 0. Solve 188 = -d*w + 167 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081250403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -634787000 to the nearest 1000000.\nAnswer: -635000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*y + u + 211 + 1150 = 363*y, y + 22 = -2*u - 0 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxcc when four letters picked without replacement from {c: 9, x: 7}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 + 0)*(12*o**3 - 48*o**2 + 48*o**2) in the form f*o + m*o**3 + i + w*o**2 and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-13))\/((-2175)\/(-9425)). Let u = -7.97 + 8. What is the smallest value in -5, b, -24, u?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*m - 429 = 851, 4*t - m - 1034 = 0. Let z = -138 + t. Let d = -44 + z. Is d a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 325 * 0.12102.\nAnswer: 39.3315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361 - 1763 = -6*n. Let i = -349 + n. Solve -t + 15 = i*w, -2*t - 4*w - 2 + 14 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.1 (c) -6\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.4 (c) 2\/241 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 14*x**2 - 84*x + 84. Let y(w) = 26 + w - 8 - 19 + 0. Give -q(f) - 84*y(f).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 147*k**2 - 126*k + 2983. Give n(-148).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*j + 8, 4*j = -6*d + d + 20. Suppose d*o = 5*q - 5, -3*q = -o - 16 + 6. Let l be (15\/o + -2)*1. Solve -5*k + 6*k = -l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6081523518.\nAnswer: 2, 3, 7, 23, 31, 311, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*y + 117*y + 11169 + 4337 = -3436 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -1)\/(2\/(-2)). Let s(u) = 4*u**2 - 9*u - 8. Let g be s(-1). Solve -16 = -3*p - g*z, -i = 4*p - p - 5*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 910 and -0.9.\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1599292 divided by 799646\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39427 plus -7439.7?\nAnswer: 31987.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026386 a multiple of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 6*m + 6*m**2 + 2 - 4*m. Suppose 3*y + 15 = 4*y + 3*c, -3*y = -3*c - 9. Let g(x) = -11*x**2 - 4*x - 4. Give y*g(f) + 13*r(f).\nAnswer: -f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10701 and 26970087?\nAnswer: 3567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1. Let o(s) = -35*s - 4. Calculate -5*d(r) + o(r).\nAnswer: -35*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-3)*2028\/676.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -5*t + 49, -g + 191 = 3*t + 199 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(5\/2))**(-20)\/(f**25\/f**(-5)) assuming f is positive.\nAnswer: f**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2854 + -2855. Is b less than or equal to -2\/123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*q**2 - 10970*q + 19665.\nAnswer: 5*(q - 437)*(5*q - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.55 + 36.8. Let d = o + 3.7617. Round d to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from {k: 2, y: 3, x: 3}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 788956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0*o**4 + 41*o**2 + 0 + 0*o + 1\/60*o**5 - 1\/6*o**3. Solve w(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12588 by 6.\nAnswer: -2098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3711.235 centimeters?\nAnswer: 0.03711235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -947 - 1016862*o + 947.\nAnswer: -1016862*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/4*20\/(-30). Let t be m*(11 - (-2)\/2). Let i be (-7)\/(14\/8) - -6. Solve -t = -6*b + i*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -85) + -75 + (-2 - -2) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 278 * -0.3111.\nAnswer: -86.4858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 0 - 2*o + 1\/20*o**5 + 0*o**4 - 1\/2*o**2 + 0*o**3. What is the first derivative of s(k) wrt k?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*h + 77, -3*h + 7*h = 4*t - 52. Let j(l) = t*l**2 + 19*l - 6*l**3 + 4 + 8*l + 0*l**3 + 7*l**3. Does 17 divide j(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 59209194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z + 1. Let y be s(1). Let h be (-33)\/(-12) - (-4)\/16. Suppose 6*f = f - h*n + 10, f + 2*n - 2 = 0. Is f bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -10.5 (c) -0.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 b, and 1 q when four letters picked without replacement from {q: 4, z: 5, u: 2, b: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12699379 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49 and -4983.971.\nAnswer: -244214.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) - 582\/495. Let v = d - -10\/11. Is v greater than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 43?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18 + 0)\/(21\/98). Suppose -2*c + d = 24. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 2*x - 4*x)*(6*x**2 - 7*x**2 - 5*x**2) + (7 + 1 - 2)*(-2*x**3 - x**3 + 0*x**3).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 21, 1\/2, 1\/8, 0.1, 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16371757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1641565 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1103 (base 5) to base 9\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2502, 2419, 2282, 2091?\n\"Answer: -27*r**2 - 2*r + 2531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.7 + -24. Which is the biggest value? (a) 11 (b) -0.1 (c) f (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 13*u - 14. Suppose -23*c + 304 = 59*c - 926. Determine n(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k + 26. Let q be n(-12). Let s(r) be the third derivative of -7*r**5\/60 + r**4\/12 + r**3\/3 - 18*r**2. Calculate s(q).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 5:05 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4574645640 divided by 5\nAnswer: 914929128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 12*f**2 - 31*f - 8. Determine h(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 + 12505*o**2 + 7812495*o - 7825005 = 0. What is o?\nAnswer: -1251, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 3. What is the smallest value in -1, k, -3\/2, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Let p be w(5). Let k = p - -13. What is the remainder when -34*(3 + k\/(-4)) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68*(-160)\/77520*-19?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, 0.7, -0.2, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4)*5)\/(5\/(-5)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 3\/2, -1, 4\/139, -7\/9?\nAnswer: 4\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 656, 1779, 3658, 6293, 9684, 13831?\n\"Answer: 378*g**2 - 11*g + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -125*k - 165. Let x be -2 + 5 + -6 - (-8 - -9). Does 8 divide a(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.379 - 23.621. Let d = -9 + 4. Which is the third smallest value? (a) d (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15275988.\nAnswer: 2, 3, 7, 13, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*(-4)\/(-24)*46. Let o = 425\/6 - j. Let x = -9 + o. What is the third smallest value in -2, x, -6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -12) + -7 + -6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**6\/12 + h**4\/24 + 5*h**2\/2 - 7. Let w(d) be the second derivative of p(d). What is the second derivative of w(r) wrt r?\nAnswer: -60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32460?\nAnswer: 2, 3, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 55*z**4 + 80*z**3 - 405*z**2 - 960*z. Let n(s) = -20*s**4 - 29*s**3 + 147*s**2 + 349*s. Let u(c) = -11*i(c) - 30*n(c). Factor u(y).\nAnswer: -5*y*(y - 3)*(y + 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -19*b - 308. Let s be c(-16). Let y = 1 - -2. Put y, s, -14 in ascending order.\nAnswer: -14, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55834?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1.8. Which is the smallest value? (a) -4 (b) 0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*q - 172, -4*q + 664 = 4*v - 0*v. Suppose -6*o + 4*o + 5*x + v = 0, 3*x - 321 = -4*o. Calculate the greatest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -546 divided by -14.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.127? (a) -3\/4 (b) -4\/3 (c) 0.2 (d) -2 (e) -0.09 (f) 64\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -3*n. Suppose 3*b - 417 + 95 = -n*w, -5*b + 530 = 5*w. Calculate the remainder when b is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 73380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:27 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/4 of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -573 + -274. Let y = r - -1254. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, j: 5}. What is prob of picking 1 a and 2 j?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*g + 2, 4*g + 5*t + 11 = -1. Suppose -2*f = g*o - 6, -3*o + 5*f = -10 - 7. Sort -1, 2, 1, o in increasing order.\nAnswer: -1, 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 95*b*r**2*w + 200495*b*r**2 + 2*b*w + 244*r**2 - 2*r*w + 155865*w wrt b.\nAnswer: 95*r**2*w + 200495*r**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30525?\nAnswer: 3, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 17 = -20*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 562387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 7*h**6\/270 - 16*h**5\/135 + 2*h**4\/27 + 13*h**2. Factor q(p).\nAnswer: 4*p*(p - 2)*(7*p - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5607186 milliseconds in seconds?\nAnswer: 0.0005607186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 4*v + 4*v)*(2*v + v - v) + 3*v**2 - 5*v**2 + v**2 - 4.\nAnswer: -3*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 241511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 + -124. Suppose s = -a + 3*i + 3674, 5 = -4*i - 15. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -2411?\nAnswer: -2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 12*v = -3. Let z be -10*(12\/8)\/v. Solve -h**z + 4*h**4 - 12*h**3 - h**4 + 9*h**3 + h**2 = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.5446011 rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*2*(-44)\/(-8). Let u(h) = -2*h**3 - 65*h**2 + 33*h + 2. Let t be u(y). Solve -4*f - 4 = -t*d, 3*f + 5 = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11443131 (base 5) to base 13.\nAnswer: -3a8c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1816, 7303, 16442, 29227, 45652?\n\"Answer: -a**3 + 1832*a**2 - 2*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 96 - 12. Let w = j + -11. Solve -5*t = -0*t - p + 24, -t - 2*p - w = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 2, 23, 37, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.12 (b) 2 (c) 1 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -174624 divided by -29104\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1684496l?\nAnswer: 168.4496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**2 + 96 + 101 - 189 as d + r*s + z*s**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*o + 19*o + 153 - 151 - 48*o.\nAnswer: -106*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -46220430 (base 8) to base 7\nAnswer: -151204650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**(-1\/5)\/g))*g**(-1\/21)*g)**(-48)\/((g*g\/(g\/(g*g*g*g\/(g\/g**(-1)))*g))**(4\/9)\/(g**(-5\/6)*g**(1\/5))) assuming g is positive.\nAnswer: g**(6529\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-two fifths of a decade?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 165173974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -641, -2, 7 in increasing order.\nAnswer: -641, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 378*i*w**5 - 107*i*w - w**2 wrt w?\nAnswer: 22680*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18731519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m + 360 = -25*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Let o be (q\/1 - 11)*-2. Calculate the greatest common divisor of 32 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*y + 4*l + 79 = 74*y, 0 = -5*y - 4*l - 39 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5626800 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3832 - 3322 = 30*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m - m**3 + 2 - m + 4*m. Let w be q(-2). Suppose 27*b - 68 + 14 = 0. Solve b + 10 = -w*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Suppose 18*v = 17*v. Suppose v*y + 33 = 3*d - y, -d - 3*y + 11 = h. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*12\/(-10)*354\/(-1416).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27142915 and 1315.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**16*v**(-1\/5)*v**(5\/3)*v\/v**12*v*v)**(-2) assuming v is positive.\nAnswer: v**(-254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -10, 15, 40?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*l - 18.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 38 + 858. What is the remainder when o is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0067, -4\/25, 0?\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5*18\/45*(-1 - 592)?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3207920 and 174430650?\nAnswer: 1395445200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -37. Solve 0 = 4*l - 20, -3*v = -0*l - l - s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07841 to 3 dps.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n - 10. Let v be (-33)\/(-5) - (-3)\/n. Solve 4*j = v + 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0 + 16, 18 = q - 5*o. Let i be 15\/(-10) + (-3)\/q. Suppose 4*s - k + 0*k - 123 = i, 42 = s - 4*k. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-893*k**2 + 43*k**5 + 893*k**2 - k**3)*(2 - 2 - 2).\nAnswer: -86*k**5 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 231171 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131 + -130. Let n = -39 - -86. What is the remainder when n is divided by (-1 - (4 + (0 - v))) + 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*v + 17974 = 1970, -35 = -7*v. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**2 + 0*n**2 - 2*n**2)*(-6*n + 0*n + 3*n)*(-3*n + 1 - 1) to the form o + d*n + z*n**2 + l*n**3 + j*n**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 3 - (16 + -21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*z - 8*z + 29*z in the form t + x*z and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -9. Let m be n\/(-9) - 5\/(-3). Suppose -3*j = -5*d + 28, 0 = 5*j + 1 + 4. Solve -m*l - 5*v = -v + 24, d*l = 2*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -214966908.39\nAnswer: -214966903.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/11)*i**(24\/7)*i*(i*i**(-8\/7))**(-8))**(-49) assuming i is positive.\nAnswer: i**(-3297\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 51\/4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from bbbkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, k: 2}. Give prob of picking 3 u.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -81142377.8 to the nearest 10000.\nAnswer: -81140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119)*-1)*5 - sqrt(119))\/sqrt(7).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1675 (c) -25 (d) 0.01 (e) -0.09 (f) 0.1 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1012*j + 578 - 1009*j + 2022*j to the form r*j + t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:23 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -678 (base 16) in base 14?\nAnswer: -864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 252, 699, 1348, 2199, 3252, 4507?\n\"Answer: 101*l**2 + 144*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 5 + 4 - 26*y + 5 - y**2 in the form p*y**2 + t + k*y and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -2*x - 1 - 13 + 28 - 3, 4*a - 44 = -5*x for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.5, -5.\nAnswer: -5, -0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-2 - -2 - 2). Let t be (1*-3)\/((-90)\/(-20))*-3. Factor -4\/9*q**3 + 0*q + 10\/9*q**5 + 0 + 2\/3*q**4 + h*q**t.\nAnswer: 2*q**3*(q + 1)*(5*q - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70301 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(176) - (((1 + sqrt(176))*2)**2 + sqrt(176)) - (sqrt(176)*3)**2*3).\nAnswer: -5460 - 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 2*s**2 - 4*s + 2. Determine k(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*133\/57*(-2)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 - 19378*c**2\/5 - 9362430*c + 611837226\/5.\nAnswer: -2*(c - 13)*(c + 4851)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4 = -9*b. Suppose 0 = q - 1 - b. Solve -q*s = 2*l - 0*s - 2, 20 = -5*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/7 + 1324978*u**3\/7 + 1324980*u**2\/7 = 0. What is u?\nAnswer: -1, 0, 662490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6300 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3 - 5. Suppose -5*r + 4*j + 7 = -37, 0 = -u*j - 2. What is the remainder when r is divided by 10*(6\/(-4))\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/20 and -23\/6875.\nAnswer: 27500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -105+-31.8\nAnswer: -136.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.06 - -3.5. Let a = c + 0.55999908. Round a to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54aa6 (base 16) to base 7\nAnswer: -2643023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (168\/(-18))\/(-7)*21\/(-2). Let x be 1\/((-17 - -8) + 8). Sort x, 3, -6, d in descending order.\nAnswer: 3, x, -6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b + 4*k + 84 = 0, 0 = -5*k - 15. Let q = -21 - b. Let g be 2\/q + 22\/(-33). Which is greater: 2\/15 or g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(32\/(-4)))\/(-4))\/(335\/(-268))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212078443 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d83 - -3?\nAnswer: d86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (24\/280)\/(26\/((-10920)\/(-36))*(-42)\/4)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 100*h**2. Let p(t) = t. Give p(q(g)).\nAnswer: 100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 60\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -15. What is the closest to -1 in -1, r, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 428\/(-48)*(-178)\/1. Let l = m + -1602. Calculate the common denominator of l and 1314\/56 + (-4)\/(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**2 - 381*h + 380*h - 44*h**2. Let p = 470 - 471. Give l(p).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 700 by -433.\nAnswer: -700\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37164185 is divided by 20914.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 327, 664, 999, 1332, 1663?\n\"Answer: -v**2 + 340*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75 - -2?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1669*b**2 - 8*b - 38. Let u be k(-4). Round u to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 754*n + 32. List the prime factors of z(1).\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**4\/12 + 38*y**2. Let m(w) = -10*w. Give m(t(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*y + 12*y + 370*y - 63064672. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 29 = 5*x + 10, -2*n + 27 = -3*x. List the prime factors of 4 - (28 + -8)*(-597)\/n.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(-267 + 4*s**2 - 2*s**2 + 650)*(-5*s + 3*s**2 + 4*s**2 - 8*s**2) as t*s**3 + m*s**4 + l*s + y*s**2 + o and give y.\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((-57)\/(-855)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 6. Let l(a) = -a. Let b(c) = 3*l(c) + v(c). Determine b(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - -3577427?\nAnswer: 3577413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46341.6 millilitres in litres?\nAnswer: 46.3416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:07 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0508 - -1.2008. Let a = n + -2.15. Let r = 0.2 - 0.11. Sort -1\/3, a, r.\nAnswer: a, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjzzzjzijjzj. What is prob of sequence zjz?\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3042801 (base 9) in base 7?\nAnswer: -16535554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614491616.\nAnswer: 2, 19, 313, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from zezezezzzzezzz.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 4:59 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 137375875 divided by -11375?\nAnswer: -12077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*j**2 - 33*j**2 - 16*j**2)*(-5*j**2 + 26*j**2 + 9*j**2) - 3*j**4 + 0*j**4 + 5*j**4 to i*j**3 + k*j + z + n*j**2 + q*j**4 and give q.\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-3) - (-7)\/21. Let n(i) = 0*i**2 + c*i - i**2 - 2 + i. Calculate the smallest common multiple of n(6) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*n - 15, 3*b = -2*n - 0*n - 10. Suppose b*h + 2*h = 2. Suppose z = 16 - h. Solve -5*m + z = -0*l + 4*l, -m - 3*l = -14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33600 divided by -21\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11067442.4 rounded to the nearest one hundred thousand?\nAnswer: 11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/4)\/(((-324)\/(-32))\/(-27))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 62.\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, y: 9, n: 4}. What is prob of picking 1 n and 1 y?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.8 in 0.05, 0.6, -1\/7, -5, 50?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p + p**3 + 5*p**4 + 2 - 196*p**2 + 196*p**2 - 7*p**3 to the form k + z*p**3 + f*p + a*p**4 + d*p**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 325 - 454. Let i = 372 + t. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -4, 4\/29, 2.1, 43.\nAnswer: -23, -4, 4\/29, 2.1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/9 + 88*d**3 + 2390*d**2\/9 + 532*d\/3 = 0 for d.\nAnswer: -2, -1, 0, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 12.15\nAnswer: -85.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/9, 3\/4, 0.2, 0.22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 659*b. Let t = -38 + 87. Let m = t - 48. Is c(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-14)*14\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 435351 (base 10) in base 2?\nAnswer: 1101010010010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -103.3. Let n = -0.2 + -0.8. Let u = n - -1.5. What is the third smallest value in g, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3006384.62 - -3006312.6199934. Let a = p - -72. What is a rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*p - 209*p + 526*p + 2 - 200*p - 2.\nAnswer: -34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 0*m + 5*m + m**2. Let i(a) = 487*a - 494*a - 3*a**2 + 0*a**2 + 0*a**2. Let u(n) = -3*i(n) - 5*z(n). What is the second derivative of u(y) wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 169.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 - 17*k**3 - 43*k**3.\nAnswer: -47*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.24 - -0.11. Let l = 4.87 - x. Which is the fourth smallest value? (a) -3\/4 (b) -4 (c) l (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from cfrivrcrcrrfrcrf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 4*g - 17 - 4 + 30*g as q + x*g and give q.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145284949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008345628 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436899 is divided by 72803?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 3*z + 3. Let u be g(-3). What are the prime factors of (-5)\/u*(0 + 27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 61930 = 3*o, -46439 = -3*r + o + o. Let j = -3108 + r. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2441 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.02 + 0.02. Let m = 1.999997 + a. What is m rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256\/36 + (-28)\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 1139*k - 1126 + 1126.\nAnswer: 2*k**3 - 1139*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 29. Let o = n + 14. Calculate the smallest common multiple of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.21? (a) 0.5 (b) 0 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.047 (b) -20358 (c) -1\/82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184179 and 82709.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 5:04 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 10*d**2 + 11*d - 13. Let k be v(9). What is the second derivative of -102*a**3 - 6*a**k + 16*a**5 + 102*a**3 - 2*a wrt a?\nAnswer: 200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**3 + 615*p**2 + 27845*p + 123225 = 0.\nAnswer: -31, -5, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -31*l. Let k(h) be the first derivative of 16*h**3\/3 + 630. What is a(k(c))?\nAnswer: -496*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1283683, -2567389, -3851093, -5134795, -6418495?\nAnswer: -7702193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 262?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 38. Let j = -8 + f. Let o = -9 + j. What is the closest to 1\/5 in -0.5, o, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365192450 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + -10 + (25 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 323, 98, -10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111241*a + 35 = -y + 111246*a, -3*a = -21 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1105*k**5 - 732*k + 2 wrt k?\nAnswer: 22100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 4429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2736) - -1*sqrt(2736)) + (sqrt(1216) + -6*sqrt(1216)*1)**2.\nAnswer: 24*sqrt(19) + 30405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -7. Suppose 0 = -3*a - 59 + 44. Put 1, o, a in decreasing order.\nAnswer: 1, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2 + 180*t + 2002 = 0.\nAnswer: -77, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*v = 8, -164*v + 161*v + 5 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3) + 35673\/10080. Let h = a - 106\/35. Let t = 153\/160 + h. What is the nearest to 1\/6 in t, 2, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8796961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*d**2 + 273*d + 260*d - 547*d as x + b*d + k*d**2 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -312299, -624602, -936905?\n\"Answer: -312303*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1, 75 in decreasing order.\nAnswer: 75, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265478?\nAnswer: 2, 132739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*l + 12, -4*l + 16 = -0*l - 4*p. Suppose -2 = -2*q - l. What is the tens digit of q*2 - (-348)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 0)*(2*r**4 + 0 + 0 + (1555 - 34*r**3 - 1555)*(0*r + 0*r - r)) + 2*r**2 + r**4 - 2*r**2.\nAnswer: 181*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 18*t + 163. Let m be s(-9). Put 3\/2, -1\/3, 3, m in increasing order.\nAnswer: -1\/3, m, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -222973957 + 329778470087\/1479. Let u = d - 3\/493. What is the common denominator of u and -101\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.8 * -0.1.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*u**6 - 3*u**5 - 1614*u**3 - 1887*u**2 + 39?\nAnswer: 720*u**3 - 180*u**2 - 9684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/10230 and 1\/36735?\nAnswer: 808170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 s, and 1 y when four letters picked without replacement from yjirisjjisiyisy?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(245)*-6) + sqrt(1620)\/sqrt(9) + -3 + -3*-3*sqrt(245))**2.\nAnswer: -672*sqrt(5) + 62729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 0 - a**3 - 1\/24*a**4 + 15*a**2 + 0*a. Give w(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 1:09 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387958 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 5*p - 10. Determine l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -35.3. Which is the second biggest value? (a) 0.1 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)*w)**(2\/117)\/(w**(-1))**(-2\/11)*(w**(-3)*w**5)\/(w**(1\/3)*w**(-5\/2)*w*w) assuming w is positive.\nAnswer: w**(15503\/7722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 2*b = -1742. Let s = b + -57. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 15) in base 12?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6284.48131 to the nearest 10.\nAnswer: -6280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 576\/896*2\/3*1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.2641 - -0.0041. Let b = k + -0.44. Round b to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 117*w**3 + 118*w**3 - 233*w**3 - 8*w to the form n*w + y*w**3 + x + m*w**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/63*24\/(-16)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2. Let a(v) = v**2 + 6. Suppose 3*g - 80 = -2*g. Let s = -14 + g. Give s*a(y) - 6*x(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, -4960, 3, 1, -5 in decreasing order.\nAnswer: 4, 3, 1, -5, -12, -4960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -1655 (b) 0.4 (c) 4 (d) 7\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, 4, 51, 136, 271, 468?\n\"Answer: 2*r**3 + r**2 + 4*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -38*n**2 - 4\/525*n**7 - 1\/50*n**6 + 0*n + 0*n**4 + 1\/420*n**8 + 0 + 0*n**5 + 0*n**3. Factor b(a).\nAnswer: 4*a**3*(a - 3)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 5*q**2 - 4*q - 2. Let g be h(4). Let p be 1\/(-30)*3*g. Which is the closest to -1? (a) 2 (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 734*n - 6189 - 9721 = 31800. Solve 6*f = -53 + n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/22 + (-112)\/(-11). Suppose -4*q + 18 = -n. Suppose -3*j + 3 = 0, -q = -4*p - j + 10. Let o(h) = -2*h + 1. Determine o(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6134527t to grams.\nAnswer: 613452.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1810941*u**3 + 862783*u**2 - 2?\nAnswer: -10865646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-32))\/(47\/188)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.3 + -5.6. Which is the nearest to 0? (a) 0.13 (b) i (c) -3\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -274.55 + 260. What is k rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*y - 268, 2*y - 4*y - 2 = 0. Calculate the remainder when d is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27060 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*a + 3*a. Let j = 13 - a. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -9990450*m**3 - 199844760*m**2 - 715232*m - 640 = 0.\nAnswer: -20, -4\/2235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*w + w, -598 = -2*l - 4*w. What are the prime factors of l?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 291409.5 - 291409. Let v be 1\/(-3)*1*-1. Let f = -5\/6 + v. Which is the second biggest value? (a) 2\/5 (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 339 (c) -77\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, g: 2, s: 1, l: 1}. What is prob of picking 2 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 964136*c**2 - 564*c + 66 wrt c.\nAnswer: 1928272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 95*m**2 - 2281*m + 20. Give n(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 h when four letters picked without replacement from {h: 3, a: 5, y: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (10 - -11) - (1 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y - 2*y**2 - 2*y**2 + 2*y**2 + y**2.\nAnswer: -y**2 + 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1920959 is divided by 22336.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: dcbc10 (base 16) to base 5\nAnswer: 12200403224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 5, -1 in ascending order.\nAnswer: -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*n, -2 = -2*o - n + 16. Let c be ((-168)\/9)\/o*-6. Solve 2*w + 12 = -2*l, c = -3*w + l - 2*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/7 and -38\/359?\nAnswer: 2513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4\/7)\/c)\/c*c**2*c*c**(-10\/7)*c*c*c**(-2\/53))**(3\/34) assuming c is positive.\nAnswer: c**(9\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 80857 - 308863. Let k be (-4)\/8 + l\/(-4). Round k to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 11. Let j = o + 8. Suppose 0 = -j*l + 7*l - 50. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/22 - 5\/44. Let v = -5.3 - 1.7. What is the fourth biggest value in y, v, -0.3, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98\/(-26215))\/((-113)\/(-565)).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5113 = 11538 + 8513. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73747137.\nAnswer: 3, 24582379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - -83. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -37, 6 in descending order.\nAnswer: 6, 2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-2)\/(-4) - 0) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 + 1 + 19 - 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**4 - 3*r**3 - 320*r**2 - 6*r - 407.\nAnswer: -24*r**2 - 18*r - 640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 - 53832*s - 241490352 = 0. Calculate s.\nAnswer: -8972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 4:30 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -49 + 13. Let o be ((-5)\/l)\/((-3)\/(-12)). Let n = -2\/391 + 1574\/1955. Which is the third smallest value? (a) o (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {d: 5, e: 2, t: 1, r: 3, q: 1}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/11)\/(j*j*j**(2\/19))*(j*j**(1\/2))**12)**13 assuming j is positive.\nAnswer: j**(42445\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)\/r)\/(r*r**(-4)*r))\/(r**(-2\/7))**6*((r**0)**(1\/16))**(-9) assuming r is positive.\nAnswer: r**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*g + 3*a, 2*a - 7 = 2*g + 5. Let l = 7 + g. Let x = l + -2. Solve 0 = 3*h + 2*h - 4*p + 27, 0 = -3*h - x*p + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -15.9. Let m = z - -16.5. What is the closest to 0.1 in m, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by (-25)\/5 + 21 + -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 3) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6020, 6019, 6016, 6011, 6004, 5995?\n\"Answer: -g**2 + 2*g + 6019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i = -26*i + 10 + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -1. Suppose -z*j + 48 = -j. What is the remainder when 2\/5 - (-233)\/5 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-271)\/(-15)*-1 - -18.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + f + 192. Let s be h(0). Suppose 3*m = 0, 2*g = m - 34 + s. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 90*x + 482. What is d(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 880083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-11)\/(-121)*-22. Suppose 71 = 5*j - 29. Solve -x*s + 0 = -j, -4*s = -5*b - 30 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13609318, -13609319, -13609320, -13609321, -13609322?\n\"Answer: -o - 13609317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-1\/42)\/y*y**(-15) assuming y is positive.\nAnswer: y**(-631\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -233*c**2 + c**3 + 4*c**3 + 298*c**2 = 0?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/3 and -65\/576.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4*h = 7, -37*k + 32*k + 2 = h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 8*c - 4. Suppose 8*m - 4*m - 124 = -4*k, 4*m = -k + 40. What is the remainder when t(5) is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxj when three letters picked without replacement from yjqxqgqjqygxj?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 87807468 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1613 - 1613 - 22*j**2 + 2*j)*(2 + 6*j - 2) to i*j + d*j**2 + m + p*j**3 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -2*g**7 - g**3\/3 + 5*g - 92. Find the third derivative of o(d) wrt d.\nAnswer: -1680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004017264 rounded to 5 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22143212 + 132?\nAnswer: 22143344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7722692 is divided by 1482.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -110213*j**2 + 12*j + 5068 + 220756*j**2 - 110385*j**2 wrt j?\nAnswer: 316*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 30 = 2*u. Let w(d) = 54*d**3 - 13*d**2 - 48*d + 27. Let f(o) = -19*o**3 + 4*o**2 + 17*o - 9. Let t(g) = 17*f(g) + 6*w(g). What is t(u)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4785 - -4591.7. Let z = w - -193. Which is the closest to 2? (a) z (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 758.9 + -759. Put b, 1\/12, -0.4 in decreasing order.\nAnswer: 1\/12, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 65290.\nAnswer: 587610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1510, -2990, -4434, -5824, -7142, -8370, -9490?\nAnswer: -10484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 330 + -3624\/11. Let z(t) = t - 8. Let i be z(6). Let w be 1\/(-3) + i\/(-6). Is c < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4827441660 - 4827441628.00000001. Let r = 29.84 + 2.16. Let x = v - r. What is x rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*z + 2*z**2 + 13*z)*(5*z - 3*z - 5*z) to m*z**3 + j*z**2 + y + v*z and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4156664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1256 and -101\/30436334.\nAnswer: 121745336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611*c = 190*c + 842 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -403, -595, -541, -199, 473, 1517, 2975, 4889?\n\"Answer: 7*p**3 + 81*p**2 - 484*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69 and 2881.\nAnswer: 198789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*u, -2*u - 3*u + 37 = -2*n. Let l(g) = -g**3 - 5*g**2 + 7*g + 5. Let v be l(n). Let p be v*3*(-10)\/15. Solve p*c = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/8 (b) 8 (c) 0.2 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 8:56 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23343 and -0.3?\nAnswer: -7002.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 17, n: 3}. What is prob of picking 1 r and 1 n?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/7)*r)\/r)**(2\/77))**33 assuming r is positive.\nAnswer: r**(-12\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 191?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = -4*p, 2*p - 9 = 5*j - 0. What is the third derivative of 8*h**2 - 5*h**5 + 0*h**p - h**5 wrt h?\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365043 divided by 3?\nAnswer: 1365043\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**8\/112 - f**7\/35 + f**6\/10 + f**5\/10 - 3*f**4\/8 - 8*f**2. Solve d(q) = 0 for q.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(99) + -5))**2.\nAnswer: -120*sqrt(11) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 114.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + 0.48. Let j = -7 + 11. Let y = 2 - j. Sort t, y, -1\/4.\nAnswer: y, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - v + (0 + 1 + 1)*(-v + v + 2*v) - 3 + v + 3 + (2*v + 0*v - 3*v)*(0 + 2 - 1) + 0*v - v + 3*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 13*i + 9. What is t(6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -27 + 8*n + 50 + 29 + 0*n. Let p be z(-7). Which is the closest to -1\/4? (a) p (b) -0.02 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2115560 and 2115564 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1331) + 1)**2.\nAnswer: 44*sqrt(11) + 5325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46)\/(-6) - (-12)\/(-18). Let m = 4 + n. Suppose -3*o - m = -5. Let r(y) = y**2. What is r(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1006208\nAnswer: -2012416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108 + 82. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-176747.6.\nAnswer: 353495.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**6\/72 + 55*y**5\/18 - 15125*y**4\/72 + 1106*y**2. Suppose v(t) = 0. Calculate t.\nAnswer: 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 591, 592, 593, 594, 595, 596?\n\"Answer: r + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 u when three letters picked without replacement from {w: 3, h: 2, s: 2, r: 3, u: 3, v: 1}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 1.5721\nAnswer: -3.1442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/10*56120\/145912?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1196 + -1194.8955. What is u rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2548*w + 7 - 2 - 655*w + 958*w.\nAnswer: 2851*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g + 3*g)*(-2 + 10 + 0).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*r - 6*r - 14*r)*(2 + 2 - 1) + (-1 - 1 - 1)*(0*r - 2*r + 0*r) as w + b*r and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 550.117 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/(-78))\/((-365)\/(-3504)*16))\/(1\/14).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 - -4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a1b97 + 125?\nAnswer: -3a1a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 13211 = 19*z - 71692. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 31. Let l be b(-11). Let f(v) be the first derivative of 18\/5*v**5 + 0*v**3 + 0*v + 0*v**l - v**4 - 7\/3*v**6 - 4. Solve f(q) = 0 for q.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*d**4\/5 - 57*d**3\/5 - 42*d**2\/5 - 9*d\/5.\nAnswer: -3*d*(d + 1)**2*(8*d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**6\/120 - v**5\/15 - v**4\/12 - v**3\/2 + 3*v**2. Let r(m) = -4*m**3 - 15*m**2 - 7*m - 11. What is -22*f(n) + 6*r(n)?\nAnswer: -2*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 986019 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 30 = -2*h. Suppose 2*d - h*d = -24. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50*-5*((-64)\/(-200))\/((-556)\/695)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 193b1a (base 12) in base 11?\nAnswer: 2822a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -242 + s + 242. Let i(k) = -5*k - 5. Let u(w) = -10*a(w) - i(w). Differentiate u(c) with respect to c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 13 - 27. Let c(a) = 3*a**3 + 4*a**2 - 19*a - 35. Let s be c(i). Let d(z) = -7*z. Let x(l) = -7*l - 3*l - 8*l. What is s*x(r) + 12*d(r)?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 0.0557874.\nAnswer: -4.9442126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 29 + 105 = -2*g - 5*g, -13*g = -3*i + i + 179 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j. Let q(n) = n**2 + 7*n + 9. Let z be q(-6). Let k(y) = y**2 - 7. Let o be k(z). Determine c(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 81 = 5*b, -b = -w - 0*b - 19. Let n = w - -24. Suppose -2*m = -48 + n. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, r: 3, u: 4}. Give prob of sequence uucu.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34594, -35192, -35788, -36382, -36974, -37564, -38152?\n\"Answer: d**2 - 601*d - 33994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -12. Let t(s) = -2*s + 22. Let o be t(12). Let u = o - c. Solve -3*i + 5*x = 22, 32 = -4*i + u*x + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 10*g + 8. Calculate s(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18195 - 3313. List the prime factors of j.\nAnswer: 2, 7, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 8 - ((-28)\/(-12)*-3 - -868709). Round n to the nearest ten thousand.\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oou when three letters picked without replacement from {o: 3, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - (-10 - -28)) + -17 + (-8 - 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1281*g**2 - 7*g - 85*g**2 + 8*g - 1661*g**3 - g wrt g?\nAnswer: -9966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 9*l - 3)*(0 - l + 0)*(4*l + 3*l - 3*l) in the form s*l + z*l**2 + n + d*l**3 and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, s: 3, d: 2, w: 2}. Give prob of picking 2 d and 1 s.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 779202 divided by 20\nAnswer: 389601\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*y + 17, -2*y - 5*d = -y + 11. Suppose -5*j - 1984 = y*f, -f - f + 1208 = -3*j. Round j to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-12))\/((-4)\/(-96)). Let g be (27\/6)\/3*h. Is ((-9)\/g)\/((-2)\/84) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(13*204\/(-4420))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3813 + -3672. Calculate the greatest common divisor of r and 5217.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 55048?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -22. Let q(n) = n**3 + n**2 + 5. Let w be q(o). Solve -h - z = 6, 22 = -w*h - 2*z + 5*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*u**3 + 272*u**3 - 524*u**3 - 525*u**3.\nAnswer: -1112*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/15, -0.5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125222615 a multiple of 3154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -15 - 40. Let r = b + 13. Solve 0 = 4*f + r*k - 12, 3*f = 6*f - 3*k - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625703 is divided by 1328.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**3*u**3 - b*u**3 + 106*b*w - u**3*w - 156*u*w wrt b.\nAnswer: -9*b**2*u**3 - u**3 + 106*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = z. Suppose 2*j + i - 15 = -3*j, -3*j - i = -11. Solve 2 = j*m - z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.19 - -0.09. Let u = -0.678 + -0.03. Let i = 0.208 + u. Sort f, -0.3, i in decreasing order.\nAnswer: -0.3, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 21 = -2*d. Is d < 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-36)\/3*(-1)\/1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.17 and -15735929.6485?\nAnswer: 15735929.4785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + 1 + -3.\nAnswer: -2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**2 - d - 1. Suppose -97*g = -53*g - 572. What is the tens digit of t(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/(-300) - 4\/(-10).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + x. Suppose -4*h - 2*q = -600, x*h = 2*h - 4*q - 280. Suppose 3*l - 5*d = 111, 3*d + h = 4*l + d. List the prime factors of l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -199, -205, -223, -259, -319, -409, -535?\n\"Answer: -o**3 + o - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {o: 4, q: 3, n: 1, u: 5, d: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 - 8 + (1 + 0 - 2)*(-1 - 2 + 2))*(2 + 2 - 2)*(-2*m + 0*m + 3*m) + m + m + 0*m.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 688860119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9)*(120\/(-16) + 3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -325.8 + 326.3. Which is the second biggest value? (a) -0.3 (b) 1\/8 (c) o (d) 3.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1644 + 139747\/85. Let w be (-7)\/9 - -1 - 52\/153. Let g = m - w. Which is the closest to -2\/7? (a) -1\/7 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-291 - -346) + (-1 + (-2 - 11) - -3).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 227950837*q**5 - 3*q - 227950837*q**5 + 8*q**2 - 63 + 21*q**4 + 97*q**6 wrt q?\nAnswer: 11640*q**3 + 504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2905\/3735*(-6)\/(-14). What is the nearest to -3 in j, 3\/7, -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 25*n**2 - 26*n - 45. Let v be i(-24). Suppose -3*a + 22 = 2*c, -7*a - v*c - 18 = -11*a. Solve a*m - 3 - 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-2 - (-1 + -3)). Suppose -4*u + 2*q - 75 = q, -2*q + 78 = -a*u. Let t = 23 + u. Solve 1 - t = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*q - 28 = q, 3*q = 15. Let s(r) = 2*r - 14. Let i be s(9). Suppose c*y - i = 2*y. Solve 0*f = -2*m - y*f, 2*m - 2*f = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (16 - (-196)\/(-12)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-24)*o))\/o**(6\/17))**37 assuming o is positive.\nAnswer: o**(14874\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21086940 to the nearest integer?\nAnswer: 4592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 - 2*k - 2. Let y(c) = 2*c**2 + 2*c + 2. Suppose -22*n + 35*n = 8*n - 25. Calculate n*a(r) - 6*y(r).\nAnswer: 3*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2035 - 2028. Sort -4, 4, -0.5, t.\nAnswer: -4, -0.5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-4*w - 4*w + 4*w)*(32 - 94 - 155).\nAnswer: -1736*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1945 times 162?\nAnswer: -315090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4 = -5*t, 2*t = 125*y - 121*y - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + -3 + -30 + 2 + 4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 + -178315870105.24\nAnswer: -178315870105.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2664)\/2109*47\/282?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m - 2. Let u be (0 - -2) + (3 - 2). Let p(z) = -3*z - 1. Let i(j) = u*p(j) - 2*c(j). Find the first derivative of i(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8 - 9\/4. Let y be (-1)\/q*(4 + 14). Suppose -y = 2*g, -4*l + 2*g = -3*l - 95. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 622*t - 150. What is the tens digit of b(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(5\/3)*b*b*b\/b**(-3\/8)*(b**(-7\/2)\/b)**(1\/9) assuming b is positive.\nAnswer: b**(109\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -180 - -94. Let d = r + 94. Solve y + 0 = 2*s - d, -y = -5*s + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 33 (b) -2 (c) -1 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:22 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2*(5\/(-10))\/1*(-104)\/(-676)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 3*n + 5*n)*(-5*n + 169*n - 5 + 5).\nAnswer: -164*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6325 + 18*l**3 + 6325.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 11:55 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/(-3)*((-375)\/(-900))\/(20\/72)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 48\/(12\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-35)\/(-2) - (-30)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32870 + 49686. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14775, -14763, -14737, -14691, -14619, -14515?\nAnswer: -14373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, p: 8, k: 11}. What is prob of picking 3 p?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 72156713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1\/3, 2307585?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 - 118*z**2 + 0*z + z + z + 3*z**3 - z**4 as q*z**4 + k*z**2 + u*z**3 + d + y*z and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 24*b + 2. Let p be k(25). Let j = -14 + 25. Let g = p + j. Which is smaller: g or -10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c = 5*j + 10, 2*j - c + 4 = 0. Let z(d) = d**3 + d**2 - 2*d - 3. Let t be z(j). Let b be ((-4)\/30)\/(2\/t). Sort 0.1, b, -0.1 in ascending order.\nAnswer: -0.1, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 13*v**2 - 15*v + 35. What are the prime factors of w(-8)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**2 - 4. Let n(c) = 1. Let m(b) = -4*n(b) - z(b). Let t(i) = -i**2. Give t(m(w)).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 24*z - 7. Give x(-6).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - -aa8a?\nAnswer: aa7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**5\/120 + 7*h**3\/3 + 4. Let w(i) be the third derivative of z(i). Let y(g) = 2*g. Give y(w(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2262 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1731, -3475, -5217, -6957, -8695, -10431?\nAnswer: -12165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5497200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4670458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49128, -98256, -147382, -196506, -245628, -294748?\nAnswer: -343866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72171267 to the power of 1\/2, to the nearest integer?\nAnswer: 8495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 2193.8 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*o + 414 = 2*o, -4*o = 8. What is the lowest common multiple of i and 20?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**5 + 9*m**5 - 17*m**5)*(765 - 1433 + 886).\nAnswer: -1526*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(187) - (sqrt(187) + -1*sqrt(187))) + sqrt(187))\/sqrt(11).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**43 assuming g is positive.\nAnswer: g**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 15*x**2 + 107*x - 49. Calculate a(-12).\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3020518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 14. What is the remainder when n(5) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 = 13. Suppose -5*t - 19*z = -18*z + 104, 2*t + 5*z = -37. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68648 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*j - 164 = a, -112 = -2*a + 5*j. Let w be a\/8 + 1\/4. Factor 21 + w*c**2 - c**3 + c - 2*c**4 - 19 + 6*c.\nAnswer: -(c - 2)*(c + 1)**2*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*s + 805 = 792, 4*s + 14 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/3)\/1 + 7. Let o = l - -3. Let z(g) = -g**3 + 10*g**2 - g + 9. Let q be z(o). Round q to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217 divided by -5.\nAnswer: 217\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3, -3\/94, 2, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16179109*f - 6167444*f + 13237846*f.\nAnswer: 23249511*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*v - 0*v + 5900006, 2*q + 2359994 = -2*v. What is q rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(((-3510)\/60)\/39). Find j, given that 0*j + 0 + 1\/4*j**3 + 1\/4*j**k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18857267 and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75520 and 18640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)\/v**(-2))\/(v*v\/((v*v**0)\/v))**(-8\/5) assuming v is positive.\nAnswer: v**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 1\/4, 51, -5 in descending order.\nAnswer: 51, 3, 1\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*l = 64, -5*l = -2*t + 172 - 0. Let d = t - 53. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**6 - 718742*p**3 + 326760*p**2 wrt p.\nAnswer: 240*p**3 - 4312452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (3 - 0) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*m = 179 + 106 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2159, -4319, -6479, -8639?\nAnswer: -10799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-2*2)\/((-2*sqrt(110))\/sqrt(11)) - ((sqrt(95) + (sqrt(95) - 2*sqrt(95) - sqrt(95)))*-2)\/sqrt(5)*-6) + 1.\nAnswer: 1 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2058648 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 1)*(-j + 4*j - 5*j)*(-4*j + 4*j + 4*j**3) - 4*j**4 + 3*j**4 - 2*j**4.\nAnswer: -51*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - c + 123 = 0, -3*o - c = -3*c + 374. Is 12 a factor of (9\/4)\/((-24)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 2\/9, -4.24, -0.4?\nAnswer: -4.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 10 = 0, 29*t - 5*n - 23153 = -23103 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 24. What is the lowest common multiple of 81 and o(1)?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142987 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69470 is divided by 471?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29572 + 113345. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/40 less than or equal to 179.98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75879359 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33267 - 32821 + 65165)*(-k**4 - 3 + 3).\nAnswer: 923*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**2*v**2 + g**2*v + 5*g*v - 20*g - 24244*v**2 + 19*v + 4 wrt v?\nAnswer: -8*g**2 - 48488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12657424 or 12657437?\nAnswer: 12657424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0 + 0)*(721 + 61*p - 721).\nAnswer: 61*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121099 - -121152.137. Let s = -0.137 + q. What is the third biggest value in -0.4, s, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 5*y + 26, -878*y - 2*l = -882*y - 20 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0605 + 0.0395. What is the nearest to -0.1 in 2, 1\/3, 137, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 - -171.8. Sort -40, -4, p in decreasing order.\nAnswer: p, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -16*a. Solve -p - 2*p = a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32468\/7 - 4649. Suppose -4*u - 8*p + 13*p - 60 = 0, 18 = -3*u - 3*p. Is r at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2403307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 16*f**2 + 8*f - 16. Let v be j(16). Let m = v + -30. Let h = -62 + m. What is the greatest common factor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 691223 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3351.573 months in centuries?\nAnswer: 2.7929775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b4a008 - -112?\nAnswer: -b49bc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.114444763181 take away 2?\nAnswer: -9.114444763181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 6*r = 19*r - 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 1\/4, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -28*7*(-2)\/8. Suppose -5*u + 41 = -f. Suppose -6 = -3*g, -5*z - 5*g + u = -3*z. Solve z*d + d + 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + k - k)*(2 + 7 + 2)*(-5 + 4 - 1)*(k**2 + 0*k**2 + 5*k**2) in the form q*k + s + i*k**2 + f*k**3 and give f.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhccch?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -77, -66, 11, 178?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -481 + 2401\/5. What is the third smallest value in -181, -2\/3, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 588 (b) 0.11 (c) -1\/9 (d) -5\/12 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2674*q**3 - 17*q + 28. What is the units digit of n(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/72)\/((-2)\/8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.8356ug in grams?\nAnswer: 0.0001048356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 41932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 20197.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1035)\/1242 + (-573)\/(-18) + 3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3473028 divided by -578838.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23.3089 and 7412?\nAnswer: 7388.6911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10999014*h**2 + 10999014*h**2 - h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + sqrt(272) + -1 - (-1*sqrt(272) + -4))**2)*4.\nAnswer: 256*sqrt(17) + 4428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49714, -99348, -148982?\nAnswer: -198616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, c: 1}. Give prob of picking 1 c and 2 e.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 907598*t**3 + 1529761*t**2?\nAnswer: 5445588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2279 is divided by 190.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 5*i - 3. Let m be h(-6). Let l = -18 - -25. Let n be 19\/l - (-8)\/28. Solve -2*j - m = n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*f + 2 = 4*t, 2 = -f - 4*t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 3920*g + 3918*g - 14, 2*g + 21 = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*(sqrt(640)*3 + sqrt(640)))\/((sqrt(110)\/sqrt(11) + sqrt(10) + sqrt(10))\/sqrt(2) - 4*sqrt(125)).\nAnswer: -960*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -10*s + 15*s. What is the closest to -0.3 in 1, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 times 144\nAnswer: 403.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3058 = -f, f - q = 3*f - 6094. Suppose 2*k - 7154 = -f. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**2 + 6210*o - 3213675 = 0.\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 10. Let w be -2 + 2 + (h - -1). Let o(b) = 3*b + 4. What is the remainder when o(w) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5046, -10095, -15144?\n\"Answer: -5049*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -11.2. Let v = q + 7. Let i = v - 0.06. Round i to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + (sqrt(432)*2 - sqrt(432))*6*2 + 0.\nAnswer: 4 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -80909460 divided by -6\nAnswer: 13484910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u - 3705 = 3815. Solve -u = -2*h - 227 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 7*m. Let g(v) = -v + 26. Let n(w) = -2*w + 26. Let o(j) = -g(j) + n(j). Let l = -5 + 2. What is l*u(h) + 21*o(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4778510489?\nAnswer: 227, 21050707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d*w**3*x - 6*d*w**3 - d*w*x - d*x + 131*d + x wrt w?\nAnswer: -6*d*w**2*x - 18*d*w**2 - d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1231473 - 361?\nAnswer: -1232054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 358704*a**3 + 17*a**2*h**3 - a*h**3 - 1664*a*h**2 - 1020 wrt a?\nAnswer: 2152224*a + 34*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(10\/8))\/(-1). Suppose -5 + 1 = -t. Suppose -4 - x = t*r. Sort r, -1\/3, -3\/4 in descending order.\nAnswer: -1\/3, -3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 86, 128, 170, 212?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/14)\/((-6)\/((-180)\/(-5)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*f*f*f\/(f*f*f**(-1\/16)*f*f) assuming f is positive.\nAnswer: f**(-79\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/54 - 14\/12)*-2. Suppose z*h = -u + 74, 4*h - 98 = u + 10. What is the remainder when 48 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.182 (b) -11186 (c) -14\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 103722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 9:54 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/t)**(-31) assuming t is positive.\nAnswer: t**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 944970950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 209*k**9\/21 + 728*k**5\/15 - 1678*k**2. Find the third derivative of a(d) wrt d.\nAnswer: 601920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 703 - 710 = a, 0 = 4*g - a + 23 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-140)*(-50)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f + 3*f)*(-f**2 - 2*f**3 + f**2) + f**2 + f**4 + f**4 + f**2.\nAnswer: -4*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 17*b**2 - 16*b - 5. Let r be h(16). Let y be r\/2*16\/(-20). Solve -2*o + 4 = -y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -170970676, -170970673, -170970670, -170970667, -170970664, -170970661?\n\"Answer: 3*n - 170970679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 410502 to the power of 1\/2, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 36. Which is the third smallest value? (a) 6 (b) m (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 426521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a kilometer in meters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.18 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, 9 in decreasing order.\nAnswer: 11, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 21*r**2 + 0 - 2.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/783 and -13\/87.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/101, 0.5, -3\/13, 135, 5.\nAnswer: -3\/13, 13\/101, 0.5, 5, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 - 245 + 245 - q**2 + 4*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -776, 5, 48, -3 in increasing order.\nAnswer: -776, -3, 3, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8 = -k. Let o(u) = 4*u - k*u - u. Let z(g) = -5*g**2 + 26*g**2 - 20*g**2 - 3*g**2. Calculate z(o(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 907 - 467. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - w - 1. Let h(c) = c**2 + c + 1. Suppose 134 + 1 = -3*j. Let m be (-6)\/(-33) + j\/(-55). Give m*z(v) + h(v).\nAnswer: v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/5 - 2276*c**2\/5 + 324896*c\/5 - 322624\/5.\nAnswer: 4*(c - 284)**2*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-14)*-16 - (-26)\/(-91). Let w(k) be the first derivative of 1\/3*k**3 + 0*k - 5 - 3\/2*k**s. Factor w(n).\nAnswer: n*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 29*a - 6 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 44154.\nAnswer: 44154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 514735.1 nanograms?\nAnswer: 0.0000005147351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4288, -4036, -3786, -3538?\n\"Answer: -l**2 + 255*l - 4542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5428 + 0.3428. What is the smallest value in 5\/4, d, -6\/29, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1163756166*a**6 + 103022*a**2 + 221 wrt a.\nAnswer: 139650739920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6701615 (base 8) to base 2\nAnswer: 110111000001110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 106*c + 34. Let q be r(-35). Put -3, -4, 0, q in descending order.\nAnswer: 0, q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*t + 0*t - 12*t)*(-5*t**3 - 2*t**3 - 2*t**3) + (-t**2 + 3*t**2 + 0*t**2)*(0*t**2 - 5*t**2 + 4*t**2).\nAnswer: 358*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5 = -3. Which is the third smallest value? (a) 2 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 + -73 - (8 - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8001, -2 in decreasing order.\nAnswer: 8001, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 41. Suppose -24 - 246 = -5*o. Let g = o - m. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 2)\/(15\/90). What is the highest common divisor of r and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 4, -5.6, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 - -69. Which is the nearest to v? (a) -1\/2 (b) 17 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + t - 9, 13 = -4*b - 9*t + 4*t. Let y be b*(-2 + -1 - 1). Let f = 22555 + -22553. Solve y = 4*q - f*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 18 and 32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23800 and 1428.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 37\/296*1*14*(-20)\/(-1)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 10. Let g(y) = -y**3 - 12*y**2 + 14*y - 193. Let v be g(-14). Give w(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 + 7*w + 13. Determine t(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {r: 2, z: 1, i: 1, x: 1, p: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6886, 13710, 20508, 27268, 33978, 40626, 47200, 53688?\nAnswer: 60078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*n = 1342 + 4404 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1577.\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2331 + -9369\/4. Suppose -2*s = -3*x + 713, s + 1453 = -3*s - 3*x. Let p = s - -2893\/8. Calculate the common denominator of z and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72970666 - -4?\nAnswer: -72970662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 11*y - 2*y)*(-226 - 240 + 479 + 12*y**2)*(-3 + 9 - 2) to v + s*y**3 + l*y**2 + u*y and give u.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3781, -6351, -6673, -3625, 3915, 17069, 36959, 64707?\nAnswer: 101435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:06 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2. Let w(s) = -s**3 - 19*s**2 - 3*s + 21. Let v be w(-20). Let m(k) = -481*k + 16*k**2 + v*k. Determine m(d(p)).\nAnswer: 256*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-153)\/(-12) - (-2)\/8. Let n = h + -43\/3. Let j = 476 - 465. What is the nearest to 0 in 5, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 374659.1m to centimeters.\nAnswer: 37465910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Suppose n*a - 5 = -2*a. Let s(z) = 4 - a + z + 0. What is s(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j - 4. Let l be (-335)\/30 - (-1)\/6. What are the prime factors of p(l)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 6*z - z)*(-51*z + 1084 - 1084).\nAnswer: 204*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 4*s**2 + 2*s + 8. Let g be b(-4). Let v be 3\/(-2)*-4 + (g - 1). Solve -v*u - 9 = -4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z - 18*z = 200. Solve -6*b + z*b = -2*o, 2*b = o + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4*z - 10. Let p(l) = 5*l**3 + 2*l + 1. Let m be p(-1). Let y(v) = v**2 + 5*v - 6. Let q be y(m). Solve q = z*n + 24 - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -143437334*c**5 - 5107216*c**2 - 9*c - 1 wrt c.\nAnswer: -8606240040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/22 (b) 1\/4 (c) -0.012 (d) 0.1 (e) 3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = -1888 + 614. Let h be ((-1*1)\/1)\/(i\/(-17150)). Which is greater: h or 174?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffeifef. What is prob of sequence ff?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/3 (b) 0 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -15. Suppose 2*g = 6, g = -0*d - k*d + 12. Suppose d*w - 5 = -2*q, 4*w - 11 = -3*q + 3*w. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**2 + 315*t**3 - 316*t**3 + 8 + t + 6*t. Calculate g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13\/6 + 5\/2. Let f = -0.032 + -34.968. What is the nearest to r in 2\/11, -1\/3, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 10482336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25607523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.330152 minutes to microseconds.\nAnswer: 19809120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/((-36)\/(15912\/(-34)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j - 1. Let b(s) = 13*s - 1. Let f(w) = -2*b(w) + 5*q(w). Let i be (-2)\/(-2) + (-2)\/(-2). Let o be f(i). Solve 0*v - 5*v = o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*n + 1\/4*n**2.\nAnswer: n*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z**2 + 7*z + 19. Determine w(-3).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b\/(b*b**39)))\/(b**(-2\/65)\/b))\/(b**(7\/8)\/b*b**(-18)))**(3\/2) assuming b is positive.\nAnswer: b**(93843\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1421384 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(125))**2 - (5 + sqrt(5) + sqrt(15)\/sqrt(3)) - (sqrt(10)\/(sqrt(22)\/(sqrt(33)\/sqrt(3))))**2.\nAnswer: -2*sqrt(5) + 490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -c - t - t, 4*c + 4*t + 12 = 0. Let i(p) = p**3 + 3*p**2 - 2*p - 1. Determine i(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73282185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4663 by 25.\nAnswer: -4663\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.26 * 96.\nAnswer: 312.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 18*a - 41. What is n(20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 165 = 20. What is the least common multiple of 3 and m?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 2, -1 in ascending order.\nAnswer: -1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 360 = 351 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15955600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*s + 32*s - 2615 = 37*s - 442 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1057.9 - -1115. Let w = -57 + h. What is the closest to w in 1\/4, 0.6, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-40)*8)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 413760074 and 2470?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 25583528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 22*r - 78. Let b(s) = 5*s - 20. Determine -9*b(n) + 2*x(n).\nAnswer: -n + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.9631 to 1 decimal place.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q\/q**0)\/q*q*q)\/q)**26)**48\/(((q*q\/(q\/q**0)*q)\/q)**(-27)\/(q*q**0)**(1\/51)) assuming q is positive.\nAnswer: q**(128674\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q**4 + 2*q**2 - 6*q + 6. Let d(p) = -14*p**4 + 3*p**2 - 11*p + 11. Let g(a) = 6*d(a) - 11*v(a). Find the third derivative of g(c) wrt c.\nAnswer: -168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3884 divided by -30474.\nAnswer: -1942\/15237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - h - 14 + 2, -4*h - 4 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12145*n**3 - 3*n**2 + 232563*n?\nAnswer: 72870*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 30*s + 2. Let b be v(-1). Let k be ((-2)\/4)\/(1\/b). Find the second derivative of 7*g**4 + 6*g + 26*g**2 - 26*g**2 - k*g wrt g.\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 1195774788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + 7 + -6 - (-2 + 37)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (5 - (-4 + 1 + 8)) - -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 226930547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.306 + -0.254. Let p = v + -0.44. Put p, -0.006, -0.4 in ascending order.\nAnswer: p, -0.4, -0.006","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 23*b - 29)*(92 - 154 - 96 + (-1 + 5 - 2)*(3 - 1 - 3)).\nAnswer: -3680*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.07 and 150116334821?\nAnswer: 150116334821.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 10 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -76*d**2 - 6*d + 6. Let m(k) = -1519*k**2 - 119*k + 119. Let g be -5 - (4 - 4) - (8\/(-2) + 118). Give g*j(x) + 6*m(x).\nAnswer: -70*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24446836?\nAnswer: 2, 6111709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 74*j**2\/7 - 17408*j\/7 + 4230\/7 = 0.\nAnswer: 9\/37, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -16029\/10 at most -1604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 150?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203095*o**3 + 606 - 1772 + 203094*o**3 + 562 + 604.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 - 29. Let z = 220 + d. What is the remainder when z is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -4503.5.\nAnswer: 1801.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 115687546?\nAnswer: 115687546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -13702a69?\nAnswer: 13702a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 5*i + 2*l, 27 = 5*l + 2. Let d = -3 - i. Solve -2*s + 2*y + 12 = 0, -y = -3*s - 2*y + d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312.098g to nanograms.\nAnswer: 312098000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111100110110 - -100111?\nAnswer: -1001111100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(11 + 1809\/(-162))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/9)\/(1\/(-9)). Suppose 4*a - a = t. Solve a*z - 3*z = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*u = 316, -4*b - 3*u = -6*b + 316. Let c = 326 + b. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 974151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33782605 at most as big as 33782605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -993.2759 - -993.20589973. Let h = 0.07 + b. Round h to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 76*v - 315*v**2 + 3383*v**2 + 39*v + 20*v.\nAnswer: 3068*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 251349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*k + 759*k - 202*k + 164*k.\nAnswer: 1125*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/36694829?\nAnswer: 8\/36694829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.9 + -9.3. Let s = -27.2 - -30. Let r = s - m. Is r at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(171)*-3*6)\/(((sqrt(1089) - (sqrt(1089) + sqrt(1089)*1)) + 1*sqrt(324) + sqrt(324))*1).\nAnswer: 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*s**4 + 4*s**3 - 3*s**3 + 12*s - s**3 wrt s.\nAnswer: 192*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from keexkxeexgekee.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0496 + 237?\nAnswer: 236.9504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -1*(-4 + 2). Suppose 0 = -4*o + 3*o + d. Determine s so that 32\/9*s**o + 2\/9 - 16\/9*s = 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11501 - 1057. Let l = 4706062\/7 + -57350663\/84. Let o = l + c. Calculate the common denominator of -3\/10 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + f - 6. Let t be v(-3). Let a = 11 - t. Let z(q) = -q**2 - 6*q**2 + 4*q**a. Let r(s) = s**2. Determine r(z(w)).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.4 (b) 0.01 (c) 0.7782 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4745 and 3693435?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*y + 5 = -4, -4*y = -4*z. Find the third derivative of o**z + 4*o**3 + 4*o**2 - o**3 wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 233 = -g - 270, -3*g - 5*h - 48 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + -3 - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 171*w**2\/2 - 1107*w\/2 + 255.\nAnswer: 3*(w - 5)*(w + 34)*(2*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -410 (base 5) in base 14?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 2, b: 1}. Give prob of picking 1 g and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1519?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 151 - 22530?\nAnswer: -22335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*b + 26 + 296 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/2*(-11504)\/114. Let m = n - 454. Let f = 0.2 + 0.3. Which is the second smallest value? (a) -4 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 + 7*m**2 + m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 13*h**2 + 7*h + 1. Is z(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84618 is divided by 4028.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = -4. Let h be (k + -10 - -4)*-1. Suppose 0 = -h*m + 104 + 16. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -78?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/177642229 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.175 (b) 5 (c) 4 (d) -3 (e) -795\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 44 = 3*t - 73 + 38, -5*t = -79*d - 237 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12578.\nAnswer: 2, 19, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5202*w**3 + 15*w**2 - 81*w + 4?\nAnswer: -31212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 5:56 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 0.4. Let g = 0 - 5. Which is the closest to h? (a) -0.3 (b) -2\/13 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*n + 24. Let a be ((-210)\/(-25))\/(n\/60). Calculate the highest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -14*a**3\/9 + 13058*a**2\/3 + 266220*a - 2789408\/9 = 0.\nAnswer: -61, 8\/7, 2858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**5\/s))**(-1\/33)\/(s**(-3\/5)*s)**(1\/24) assuming s is positive.\nAnswer: s**(49\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1020 and 1221195?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10807 + -10804. Let p be ((-2)\/10 - (-5)\/25) + -30. What is the nearest to -0.2 in p, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 23*c - 18. Let p = -23731 + 23733. Give o(p).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 277 or 8?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9 + 3 + 0*h + 3*h - 4*h. Let a be z(11). Is 4\/7 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.8157725 nanoseconds to days.\nAnswer: 0.00000000000022934921875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65063 is divided by 986?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 181, 295, 409, 523, 637?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1916, 4097, 7732, 12821, 19364, 27361?\nAnswer: 36812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.798065 decades in years?\nAnswer: 77.98065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 26. Let f be c(-5). Suppose -f*m + 16*m + 60 = 0. Solve -8*u - m = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 232166\/(-5368) + 2\/8.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11.9 in -2, -2\/7, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 6 - 2)*(y**3 - 2 + 2).\nAnswer: -41*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**4\/2 + g**2 + 2*g. Differentiate n(x) wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23098530*a*k**2 - 340*a*k - 34*k**3 + 162597 wrt k?\nAnswer: 46197060*a - 204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -56*t + 955. Let y be l(17). Solve y = -4*c + 3*m - 0, 0 = 5*c - 2*m - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2036 + 7*f + 12451 + 2805 + 0*f.\nAnswer: 7*f + 17292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9151000 rounded to the nearest one hundred thousand?\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - (-41 + 34 - -38).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y\/((y*y\/y**(1\/5))\/y))**(-29\/5))**42)**22 assuming y is positive.\nAnswer: y**(-294756\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84720 by 6.\nAnswer: -14120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-seven quarters of a minute?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 4*s - 3*q, -2*q = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 less than -58\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**2 - 12*g**3 - 3*g**3 + 27*g**3 - 5*g**3 wrt g?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*r - 118, -5*h + r + 57 = -4*h. Calculate the remainder when h is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 + 273.5. Round g to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 3, x: 4, c: 1, u: 4, e: 1}. Give prob of sequence ctt.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -6.924.\nAnswer: 124.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 106.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4120 and 616970.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*n + 33, 3*n = -4*f + 7 + 24. Solve -s = -f*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = i - 2. Let q(y) = y - 2 - y**2 - y - 2*y**3. What is the smallest common multiple of i and q(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 19, 37, 61, 91?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlj when three letters picked without replacement from oolzjxzlzxoo?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b**2 - b. Let x = -13 + 12. Let o be u(x). Let r = o - -10. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 172a + 0?\nAnswer: 172a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**3\/3 + 4*z**2 - z - 6. Give l(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(((-4086)\/4767)\/(20\/(-14))).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2 = -3*p. Let j(n) = -63*n**2 + 2*n - 2. Let a be j(p). What is a rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358*z + 3181185 = 365*z. Let a = -227412 - -3141867. Suppose -z = 3*t - a. What is t rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/52 + 5\/13. What is the closest to -2 in p, 1\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(17)*-1)**2 + -6*(-2 + sqrt(2057)).\nAnswer: -84*sqrt(17) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31500 = -29*u + 58*u - 25*u. Is 164 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d + 3. Let w(l) = l - 4. Let s be w(7). Let m be (7 + -4)\/(s\/4). Let b = m + -8. Let x(t) = -2*t + 2. Determine b*x(u) + 3*o(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t + 12 = 14*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnhhnnqqwgrhnnqnnqrn. Give prob of picking 2 r.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*l - 7538*l - 1056*l - 1086*l - 589504 = 0 for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l - 39. Let g be (1 + -2)\/((-9)\/(-135)). Let s be d(g). Suppose -s*v + 905 = 149. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163 or 8435\/52?\nAnswer: 8435\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-160)\/(-26) + -6 - 892\/52. Let i(o) = -o - 12. Calculate i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**3\/6 + 5*n**2 - 3*n. Let y = 2 + 1. What is the remainder when y is divided by d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12667, 25457, 38247?\nAnswer: 51037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 453580 - 34?\nAnswer: 453546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.17 and -0.936.\nAnswer: -3.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2176\/(-255))\/(-32))\/(5\/(-50)*28).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 1\/50, -1, -7998, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 1. Suppose -u*m = 5*l - 40, -m - m + 2*l = -4. Suppose 2*v - 18 = f, m*v - 6*f - 42 = -2*f. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21210200 (base 3) in base 8?\nAnswer: -13070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k + 63*k = 50*k + 12860274. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -120, -112, -104, -96?\n\"Answer: 8*k - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*n + 3*u, 7 - 22 = -n - 4*u. Let z = 21 - n. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 15. Suppose -3*a + 29 = 2*a - 4*s, -4*a = -x*s - 20. Suppose l = -l + 34. Calculate the remainder when l is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20\/1797 + 11342\/1126719. Let w = 1847\/31977 - q. Which is the smallest value? (a) -0.5 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1332709 + -1?\nAnswer: -133270a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/264 - (-458)\/(-66). Let u(h) = -4*h - 24. Give u(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 452*b*y**3 + 129*b*y**2 - 98358*b*y wrt y?\nAnswer: 2712*b*y + 258*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1503*a**2*y**3 + 2*a - 37*y**3 - 4 wrt a?\nAnswer: -3006*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p - 21*p = 28*p + 12*p + 11 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*n - 7 = 0, 9*f - 14*f + 3*n = -16. Let j(p) = p + 20. Give j(f).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*v + 9. Let m(c) = 2*c**2 + c. Let t(o) = 667 + 10*o**2 + 6*o - 667. Give v*t(l) + 22*m(l).\nAnswer: 4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -50.03, -78.4, 0.1?\nAnswer: -50.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (192 - 161 - (-2 - -190))\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7066158824 to the power of 1\/2, to the nearest integer?\nAnswer: 84060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*y + 158 = a, -5*y + 277 = 3*a. Calculate the common denominator of 236\/2*(-7)\/a and 43\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.4 - -0.4. Let l = w - -8.5. Sort l, 2\/7, -0.1.\nAnswer: -0.1, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/8881719 and 70\/33?\nAnswer: 8881719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2. Let m(s) = -4438038*s. Calculate a(m(y)).\nAnswer: -39392362578888*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.173782 meters?\nAnswer: 0.009173782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 448*s - 49*s + 413*s - 124*s to k*s + f and give k.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from qiioqsqqqqqlqii.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 77 - 40 + 174 + 313*q**3.\nAnswer: 313*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 13.3. Put 0, -3, i in decreasing order.\nAnswer: 0, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x + 13*x - 7*x)*(0*x**2 - 6*x**2 + 2*x**2) in the form c*x**2 + n*x + t + o*x**3 and give o.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*x**3 - 69*x**2 + 106*x.\nAnswer: x*(x - 2)*(8*x - 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102 - 102. Determine v so that 1\/2*v**2 + 0*v**3 + g + 1\/4*v**5 - 1\/4*v - 1\/2*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26262 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -225, -664, -1497, -2856?\n\"Answer: -22*n**3 + n**2 - 26*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 5, -24 in decreasing order.\nAnswer: 5, 4, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -110*m**4\/3 - 808*m**3\/9 - 224*m**2\/9 + 160*m\/9 + 32\/9 = 0. Calculate m.\nAnswer: -2, -2\/3, -2\/11, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29104081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7943*2.1\nAnswer: 16680.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h + 4*h - 8*h in the form x*h + q and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 8. Solve 2*v - v = -a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.484838 centuries?\nAnswer: 548.4838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 48 + 29 + -11 - (17 - -6)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.12 - 2.2. Let f = -2 + h. Let y = -0.080003 - f. What is y rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/36*(-54)\/(-396))\/(7\/(-63)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.014 and 0.144.\nAnswer: -0.002016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103598882 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 5*g - 19, 0*h + 3*h + 5*g = 23 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 976 = 2*g - 789, -5*g = b - 353. What is the remainder when b is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 16*n - 32. Calculate o(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -320114503 (base 6) in base 9?\nAnswer: -11487783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*c = 49*c + 61*c + 140. Let h(o) = -6*o - o + 0*o**3 + o**3 - 10 + 6*o**2. Give h(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77357 - 6659 - 64333 + 22746 + 8275 - 26765)*(2 - 2 + 2*l**2).\nAnswer: -288186*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -4 (b) -1\/11 (c) -79 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h + 9. Let k = -2 - -5. Let d be j(k). Suppose d + 20 = 4*x. Solve 2*y - x*y - 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3235656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6941888.\nAnswer: 2, 79, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i - 7*i - i**4 + 2*i**4)*(i + 8*i + 0*i).\nAnswer: 9*i**5 + 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1922516 is divided by 296?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 88 - 6. Let f = -19 + m. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678890750 divided by 10?\nAnswer: 67889075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34189 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 + 17*x**3 + 239*x + 185 - 239*x.\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3793410.\nAnswer: 2, 3, 5, 113, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/b**1)\/b)\/b)\/b)\/b*b*b)**(-13\/2)*((b\/(b*b**(1\/2)))\/b)**22 assuming b is positive.\nAnswer: b**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -27 + -12897271095\nAnswer: -12897271122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*j, -45 = -2*a - 0*j + j. Suppose -a = -2*z + 21. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106785067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 17. Suppose r = d - 6. Suppose d*q = 2*q + 292. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 9*s**2 + 8*s - 2. Let q be j(-8). Sort 2, q, -5 in increasing order.\nAnswer: -5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, 2, 19, 62, 143, 274, 467?\n\"Answer: 2*l**3 - 5*l**2 + 4*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 7:19 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -109*t**5\/30 + 103*t**3\/3 - 2*t**2 - 16*t - 182. Let k(c) be the second derivative of a(c). Differentiate k(o) wrt o.\nAnswer: -436*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928563560 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (2 + 10)\/3. Let y be (0 + 0)*2\/u. Suppose 0 = 4*h - w - 34, y*h - 17 = -h - 4*w. What is the smallest common multiple of h and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2645672363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -19, -24, -27, -28?\n\"Answer: m**2 - 10*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1009079326?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3929 + 3501. Let m = -0.09426 - -397.39426. Let c = m + r. Round c to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = g + 3*n, -n = 3*g + 4*n - 121. Let k = -14 + g. Let m = 15 - 8. What is the remainder when k is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13032744481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 z when three letters picked without replacement from lzdddzzldy.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 96.67367598 and 1.\nAnswer: 97.67367598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 620*n + 21203. Calculate v(-31).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/8, 2\/3, -5\/3, 2\/7, 23\/3, 1\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i**3 + 10*i**3 + 5*i**2 + 10*i**3 - 31*i**3. What is y(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.94972 rounded to 2 decimal places?\nAnswer: -4.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 893*k + 3115*k**3 - 1547 - 1596 - 893*k wrt k.\nAnswer: 9345*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00239851639 rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35546681, 35546679, 35546675, 35546669?\n\"Answer: -n**2 + n + 35546681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*q + 2*q. Suppose 2*w = -4*n + 4 - 14, 4*n = 3*w - 5. What is the remainder when (8\/(-12))\/(n\/177) is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5*3)\/(-4 - (-11 - -4)). Suppose 2*w - 225 = y*w. Is -75 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-3 + 0 + 1)*(11*l - 5*l - 4*l - 6).\nAnswer: 4*l - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37318?\nAnswer: 2, 47, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7086964406 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 18*l + 15*l = -15, -5*w + 3*l - 17 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 5.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12\/2015 + -5180613\/8060. Let r = n - -12633\/20. Find the common denominator of r and (142\/24)\/(13\/(-52)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o = -58*o + 4070. Sort o, 5, -1, -20, 1 in descending order.\nAnswer: o, 5, 1, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -8*b**5\/5 - 53*b**4\/2 + 1438*b**3\/3 + 2403. What is the third derivative of u(n) wrt n?\nAnswer: -192*n - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (371*z**3 - 191*z**3 - 223*z**3)*(-2 - 2*z + 2) + (-2*z**3 - z**3 + 10*z**3)*(-4*z + z + 4*z).\nAnswer: 93*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36974.9 - -36975. What is the closest to -8 in -1.7, -2\/3, p, -0.2?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (143\/208)\/(47\/(-752)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpyyjbjyypybtjbt. What is prob of sequence jyj?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(128) - sqrt(162)\/sqrt(9))**2*-5.\nAnswer: -3610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 9874088.\nAnswer: 59244528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -42. Let d = -30.9956 - w. What is d rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -63804, -63788, -63772?\n\"Answer: 16*g - 63820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101894537 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/24)\/7 + (-503)\/(-6). Calculate the common denominator of 127\/6 and 9\/36 - 349\/r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*y**2 - 35*y + 136*y**2 - 192*y**2 to the form c*y + s*y**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4234346 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (58\/(-174))\/((-1)\/(-24)) + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -6 - (6 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -105110 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 121, 107, 79, 31, -43?\n\"Answer: -i**3 - i**2 - 4*i + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 3*j**2 - 8*j + 4. Does 2 divide w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27, 0.1, 0, -0.2, 1\/67, -0.1?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 8*g**2 + g - 9. Calculate v(5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4068 and 277076.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a + 2b59?\nAnswer: 2bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -5) + -21 + -3 + -1 + -3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(833)) - sqrt(833))**2*-4 + 2.\nAnswer: -83298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91\/3 - -30. Which is greater: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13.77 and 3.2261.\nAnswer: -10.5439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 8016729.5 to the nearest ten thousand.\nAnswer: 8020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14287720 divided by 4520.\nAnswer: 3161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 249 and 192477.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211100121 (base 4) to base 12.\nAnswer: 74389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-10345)\/(-32190)*3. Let s = -5\/74 - b. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -7) + (-4 - (-5 - (-10 + 4)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -46. Suppose 4*a + 23 = 5*t + 3, 3*a = -2*t - 15. Is l bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3186)\/(-27) - 90)*(-10)\/8\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1988, -5, 5, 2 in decreasing order.\nAnswer: 1988, 5, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 53*m**5\/10 + 5*m**3\/3 + 3*m**2 - 61*m. Find the second derivative of c(k) wrt k.\nAnswer: 636*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 - -117.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 13*r + 11. Let i be y(-6). Solve i*l + 14 = -3*o, -2*o = -0*o + 2*l + 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 - 565385 + b**2 + 565385 + 53*b.\nAnswer: -8*b**3 + b**2 + 53*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -10. Suppose -3*i + 18 = -5*j, j + q = i + i. Let k = -0.2 + -0.3. Sort i, -5, k.\nAnswer: -5, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxx when three letters picked without replacement from {d: 8, s: 7, c: 2, x: 2}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 54 = -12*w. Suppose w*q + 0*q = 130023. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 12. Let k(b) = b**3 + 2*b**2 - 2*b - 2. Let c be k(-2). Let z be 8*3\/(-9) + c. Which is bigger: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24293\/13 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1338481647.\nAnswer: 3, 9239, 16097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**4\/2 + f**2 - 1. Factor z(p).\nAnswer: -2*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 801162340.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/18 - (-42)\/4. Let j(p) = 0 + 8 - 8 - y*p. Let h(f) = 2*f. Give j(h(i)).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34917395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*t - 18*t**2 + 79*t)*(-2*t**3 + 2*t**3 + 2*t**2 + 2*t**3).\nAnswer: -36*t**5 - 36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-44) + ((-4)\/6 - (-64245)\/61875)?\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 5*w**2 - 9*w - 6. Calculate the remainder when 86 is divided by q(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Suppose 0 = 2*x - x - 5*k + 9, -m*x - 5*k + 14 = 0. Let f = -197\/4 + 49. Is f > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -311, 2\/3, 6, 9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73.053 + 0.053. Let i = -69 - f. Which is the nearest to 2? (a) 0.14 (b) -2\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**6\/120 - v**5\/20 + v**4\/24 - 2*v**2. Suppose -7*x + 4*x = -9. Give y(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7955)\/(-7215) - (-3)\/(-78)*-6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 476 and 478 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -494, -655, -162, 1315, 4106, 8541, 14950?\nAnswer: 23663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2649 from 3289106.\nAnswer: 3286457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, 10, 25, 40, 55, 70?\n\"Answer: 15*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9798778 divided by -22.\nAnswer: 445399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92 + 154. Let n = c + -64. Which is smaller: n or -6\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1053 + 1053. Determine b so that 2\/7*b**2 - 2\/7 + g*b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -1.1. Let q(n) = n**3 + 65*n**2 - n - 64. Let v be q(-65). Let x = 1006\/7 + -144. Which is the nearest to x? (a) v (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4490 divided by -16789?\nAnswer: 4490\/16789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(704)*-1 + sqrt(704)) + ((sqrt(704) + -1)*4 + sqrt(704))**2.\nAnswer: -320*sqrt(11) + 17616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 2 - 86 = 0. What is the remainder when 88 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 270 + -270.1. What is the biggest value in 5, 4, -1, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 divided by -44\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 95711450669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, -3, -4, -9 in increasing order.\nAnswer: -10, -9, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.11 + 0.09. Let z = f - 6.5. Which is the nearest to z? (a) 1\/3 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 - 109*o**2 + 8*o**2.\nAnswer: -106*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558 a factor of 448379061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**5 + 25*q**4 + 42718*q**3 + 5944*q**2 + 793 wrt q?\nAnswer: -60*q**2 + 600*q + 256308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -45*198.82931\nAnswer: -8947.31895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**4\/16 + b**3\/6 + 19. Let w(z) = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -975, -1942, -2901, -3852, -4795, -5730?\nAnswer: -6657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**6\/1620 - g**4\/27 + 7*g**3\/6 - 39*g**2. Let x(v) be the first derivative of u(v). What is y in x(y) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(9\/5)\/g*g))**(3\/26) assuming g is positive.\nAnswer: g**(3\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37060696*j**3 + 332131*j + 72 wrt j.\nAnswer: -222364176*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**2 - 725823472*w - 725823476 = 0.\nAnswer: -1, 181455869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c - 6. Let d be i(-4). Let b = 14 + -24. What is the units digit of d\/25 + (-66)\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.231 in 4, -203.13, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*n + 2*r, -5*n + 8*n + 7 = 2*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(4 + -4 + 1 + sqrt(112) + 1))**2*-5.\nAnswer: 960*sqrt(7) + 6960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from fooo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4312 divided by 44?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3) + 0 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 260*x**3 + 126*x**3 + 172*x**3 + 247*x - 249*x as h + w*x**2 + n*x + y*x**3 and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 994186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 4*q**2 - 4*q - 3. Let h = 48 + -44. Suppose 2*f - z = 3*f - 6, -h*f - 2*z + 22 = 0. Calculate p(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -1 - 2\/(-2). Let c be (-46)\/69*(0 + -1 + 0). Find s such that 0*s + c - 2\/3*s**f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*u + 6 - 21, 2*u = 3*p - 31. Solve 9*t + 10 = p*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 565 - 547. Which is smaller: g or 24?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.558948 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -445, -777, -1623, -3223, -5817, -9645?\n\"Answer: -40*j**3 - 17*j**2 - j - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -687 by -6.\nAnswer: 229\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -178. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -6102191\nAnswer: -5\/6102191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/224 and 15\/194.\nAnswer: 21728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70740 + -114074.79.\nAnswer: -184814.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + p - 8*p + 10*p - 22 - 12*p**2.\nAnswer: -12*p**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) - 18\/4. Let v(l) = -5*l - 71. Let t be v(-17). Let f(j) = j + 10 + t - 22. What is f(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14616 and 36816?\nAnswer: 22420944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -9*s + 8117 - 7613. What is the highest common factor of s and 1078?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 27 - 69 = 0. Suppose -4 = i - 6. Calculate the smallest common multiple of c and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 14*q**2 - 14*q + 24. Let l(d) = -5*d**2 + 4*d - 9. Let n(z) = 6*j(z) + 17*l(z). Determine n(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 1:54 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-27798)\/205)\/(6\/40). Let s = q + 3613\/4. Which is the smallest value? (a) s (b) 5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*c + 65*c - 5*n = -11, -3*n - 7 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c + 585*c = -23001 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/(-7) - (-3112256)\/15680. Factor -i - 62\/5*p - 1\/5*p**2.\nAnswer: -(p + 31)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -q - 19, q + 521*j = 518*j + 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2984 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/12 and -143\/756.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 3) to base 14.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1258, 1241, 1224, 1219, 1238?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 72 - 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -284? (a) 2\/13 (b) 18\/5 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 18 = 3*b. Let x = b + 12. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 2*q + 3. Let c be t(0). Factor c*x**3 + 0*x - 3\/2*x**2 + 0 - 3\/2*x**4.\nAnswer: -3*x**2*(x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 118, -1\/2, 5\/4 in ascending order.\nAnswer: -15, -1\/2, 5\/4, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -91\/2*j**2 + 110*j - 2*j**3 - 125\/2.\nAnswer: -(j - 1)*(j + 25)*(4*j - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 6 - 1)*(2 + 14 + 5) - 2 - 3 + 3)*(-3 + 1 + 0)*((3 + 3 - 5)*(-3*j - 3*j + 4*j) + (1 - 5 - 4)*(3*j - 2*j - 2*j)) in the form z*j + t and give z.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*v + 1 + v**3 - 9259*v**4 + v**2 + 8739*v**4 + 117*v to l*v**2 + m + k*v + u*v**4 + a*v**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*i + 3*i - 24*i - 2)*(8*i + i - 4*i)*(-16 + 16 - 10*i) + 2*i**3 + i**3 + 2*i**3.\nAnswer: 1855*i**3 + 100*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*k - 5*k + 3850 = 4*k for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 11:41 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 11 - (7 - 6). Suppose 5*d = 3*d + l. Find the first derivative of -2*j**3 - 4 + d + j**3 wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8540.558 weeks?\nAnswer: 5165329478400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43.15 + -0.4.\nAnswer: 42.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 10*n**2 - 36*n + 7\/3*n**3 + 0. List the prime factors of v(9).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000288605 to five dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 333366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13*a**2 - 14*a + 9. Let m be (0 - 7) + (6 - 7). Let q(v) = 5*v**2 - 5*v + 3. Let t(o) = m*q(o) + 3*l(o). What is t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 283 - 246. Solve 1 = -4*k - 5*g + u, -4*g + 36 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*r = -3*r + 3, 4*r - 4 = 0. Suppose 2*y - 68 + 48 = k. Calculate the greatest common factor of y and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.12 (b) 0.07 (c) 1045.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1020 and 169830?\nAnswer: 339660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 2)*(0*h + h + 0*h + (3 - 1 - 1)*(60 - 60 - 17*h)).\nAnswer: -64*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (9 - 17 - (-8 - -1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/13 (b) -7\/10 (c) -6\/11 (d) 5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 127 + 132. What is the closest to -2 in g, -0.7, -2\/5, -1\/2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12639?\nAnswer: 3, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, m: 1, o: 1, w: 2, y: 6}. What is prob of picking 3 y?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 5. Let a be h(-6). Let b = 4 + a. Let s be 3\/5 + (-611)\/(-65). Solve k + 6 = -f, -b*k - s = 2*k - 5*f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*h + 14*h**4 - 28*h + (2 - 2 - 2*h)*(-5*h**3 + 4*h**3 + 2*h**3).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -300 - 2395. Let n = i + 4456. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7052.3 to the nearest 100.\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11 + -12)*(1 + -4). Let d = -37 + 52. What is the highest common divisor of d and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(((-3)\/30)\/(12\/(-390)))\/(24\/48).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o**2 + 38*o**2 - 12 - 21*o**2 + 7*o + o**3. Let x be t(-8). Let j be x\/(-56) + 1\/(-2)*1. Solve -j + 0 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -47, -105, -187, -293?\n\"Answer: -12*s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.027.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 31, 0.1, -5\/3, -5 in increasing order.\nAnswer: -5, -5\/3, 0.1, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3904?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23680\/(-24)*(-18)\/4. Find the second derivative of -4440*b**4 - 6*b - 65*b**5 + w*b**4 wrt b.\nAnswer: -1300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/(6474\/415) - 21\/(-273).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 17*o - 20*o. Let b = -46 - o. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 11. Suppose -103*p + 104*p = 5. Suppose -2*f - k - 39 = p, -5*f = 3*k + 109. Sort -1, f, z in decreasing order.\nAnswer: -1, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1259 or -1261?\nAnswer: -1261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((4\/(-8))\/(-1)). Solve 4*j + r + 10 = 6*r, -s*r = 2*j - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2 + 3047*r\/5 + 6294 = 0. Calculate r.\nAnswer: -10, 3147\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98.41 + -8.39. Let d = f - 2.2. Let a = d + 109.000049. What is a rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 2:18 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 69 = 3*d, 4*d - 2 + 10 = f. Calculate the least common multiple of f and (24\/15)\/(60\/525).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 15*t - 1132, 5*t + 39174*j - 372 = 39170*j for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 535.9268 litres?\nAnswer: 535926.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/918*(-2 + -12)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 5209?\nAnswer: -5211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730 is divided by 307?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 91, 127, 165?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38552922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75874 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-93)\/(-18) - 5\/30. Let x = 10 + 5. Suppose 4*h - 2*h - 2*u = 6, -5*u - x = 0. Solve o*n - 15 - 10 = h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2325416 to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -710\/3289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-882951*f**2 - 6*f + 906671*f**2 + 6*f)*(-2*f**2 + 2 - 2).\nAnswer: -47440*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v - 3*v + 0*v - 3*v - 6*v + 2*v + (4*v + v - 3*v)*(3 - 2 + 1).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 117\/(-27) - 1\/(-3). Let o(w) = w**3 + 4*w**2 - 3*w - 10. Let b be o(m). Let p be (b\/5)\/((-6)\/60). Which is bigger: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 10:09 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = v - 9, 13*v + 2*p + 18 = 18*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25587 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25315 + 5?\nAnswer: 25322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 218.94 bigger than -1970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 97*f**2 - 10*f - 2786. Give o(-97).\nAnswer: -1816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 27818 * 0.5\nAnswer: 13909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 11:30 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 5)*(-16*i**2 - 4*i**2 - 13*i**2) - 3*i**2 - 6*i**2 + 52*i**2 + 5 - 5 - i**2 + (-1 - 2*i + 1)*(0 + 0 + 2*i))*(0*i**2 - 3 + 2 + i**2).\nAnswer: 170*i**4 - 170*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3028 divided by 2\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from globlljbggff. Give prob of sequence og.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyyzzyz. Give prob of sequence yz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 766.9697 litres?\nAnswer: 766969.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155465567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83441 (base 9) to base 6.\nAnswer: -1102444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 0 - 3) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5901 (base 10) to base 16\nAnswer: -170d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 67 - 7665?\nAnswer: -75dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63812 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*p + 17, 0 = 4*p - 0 - 8. Solve v*o - 6*o = 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71971 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 9:22 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/(-55) + 15726\/15 + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8769.\nAnswer: 3, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 9:30 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*l + 3 + 34*l - 1 - 3 wrt l?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-3)*2\/6. Suppose 3*z = -0*z + 4*m + 50, -3*z + 58 = -k*m. Let c = z - 25. Does c = -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 54.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24 in 6, 4, 6013, -1\/6, -12\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247741 divided by -4199.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 27. Let s be v(16). Let q be -1 + 0 + (19 - 16). Suppose -52 - 163 = -3*k + q*h, 3*k - s*h = 218. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 36 - 16 + 34 - 24 + 48*m.\nAnswer: 48*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 - v. Let g(z) = -3*z**2. Let i(h) = -3*g(h) + 2*j(h). Let n(y) = 16*y**2 - 11*y. Determine -33*i(w) + 6*n(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mppzzpmxxxxxmxxx. What is prob of picking 3 m?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(10)\/sqrt(2) + -3 - sqrt(5)) - (-4*sqrt(20)\/sqrt(4) - -2*sqrt(405)).\nAnswer: -14*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 + -92. Calculate the highest common factor of 3 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 divided by 8731?\nAnswer: -191\/8731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 808 + -812. What is the second smallest value in 13, 1, w, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 1\/3*m**3 + 1\/2*m**2 - 3 - 2*m. Factor g(r).\nAnswer: (r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b = 42*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10977*q**3 + 3832*q**3 + 7141*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5956576\/645 - -9235. Suppose -2*m - 14 = m - 17. Which is smaller: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 55 = 4*b, 9 - 99 = -5*q - 3*b. Let d = -10 + q. Let y(x) = 11*x + 22. Let t(z) = -7*z - 15. Let r(o) = d*y(o) + 8*t(o). What is r(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 6\/1 - 6) + 6. What is the greatest common divisor of g and 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 5 + 5\/4*u**3 + 1\/4*u**2 + 0*u. Solve c(y) = 0.\nAnswer: -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/27)\/(-4) + 508\/6. Which is smaller: 84 or z?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u - 28*u = -3. Let l(w) = -4*w - 1. Let m be l(-1). Is u less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(19\/6))**40*(((w*w*w\/((w*w**(-5))\/w)*w)\/w)\/w*w)\/((w**(-3\/4)*w)\/w)*(((w*w\/(w*w**(4\/5))*w*w)\/w*w)\/w)\/w*w\/(w**(-2\/9)\/w*w) assuming w is positive.\nAnswer: w**(24631\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56 + -21640236?\nAnswer: -21640170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151 and 23707?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = 2*k. Suppose 0 = 4*s - 5*s + k. Let t be s + 0 - (-3 + 3)\/3. Sort t, -1\/4, 5 in increasing order.\nAnswer: -1\/4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43455 - 130364\/3. Let m = -0.7 - 0.3. Let l = 4 - 1. What is the nearest to m in l, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**7\/105 + i**5\/20 - i**2\/2 + 3*i. Let l(p) be the first derivative of h(p). What is the third derivative of l(b) wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 490 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32801 to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -671, 7, 218 in decreasing order.\nAnswer: 218, 7, -671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 10*k + 12. Let l be v(-9). Suppose 0 = -l*c - 5*w + 20, 0*w - 2 = -c + 3*w. Solve -2*p = -c*s + s, -4*s = -5*p + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g + 3. Let z(x) = 6*x - 3. Suppose -306 + 313 = h. Calculate h*f(w) + 6*z(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 10962244 = 3447626. Determine r, given that b - 269707 - 86622*r - 126338*r - 440*r**3 + 14520*r**2 + 5*r**4 = 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7585 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 50*g**3 + 120*g**2 + 110*g + 35.\nAnswer: 5*(g + 1)**3*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18\/979 - -116321\/9790. What is the common denominator of -97\/2 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqvvqtvptqqvqttt. Give prob of picking 2 v and 1 q.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 6, v: 7, n: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/3*230\/92?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 7:22 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656101 (base 7) in base 3?\nAnswer: 102211001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-469)\/2814)\/((-4)\/(-744))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184241.\nAnswer: 184241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 36838548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4565 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -812 + 830. Calculate the lowest common multiple of k and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z = 5. Let c(i) = 6*i**3 - i + 1. Let p be c(z). Let j(y) = -5*y**3 + 5*y**3 + 21*y**2 - 3*y - 5 - 14*y**2 - y**3. What is j(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 16 = 5*i, 6*c + 14 = 11*c - 2*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 + 12 - (0 - 0). Suppose -x*t - 5 - 55 = -5*o, -3*t = 2*o + 60. Which is bigger: -24 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/4 + v**3 - 2*v**2 + 3*v - 2. Let h be y(-4). Suppose 2*g = -h*g. Solve g*j - 2 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 1. Let d(w) be the first derivative of -8*w**3\/3 - 9*w - 22. Let m(p) = -2*d(p) + 18*v(p). Let g(u) = -73*u. Determine g(m(k)).\nAnswer: 146*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1086*i - 554961. What is p(511)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqdqdqqqdqqqqqq. What is prob of sequence dqqd?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19124*q = -19099*q + 1550 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 24*v**2 + 22*v - 17. Let x be g(-23). Let i(t) = -1 - t + 2 + 0. What is i(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. What is the derivative of 2*s**3 + 0*s**3 + j - 5 wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406582348.\nAnswer: 2, 79, 1286653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -946, -2797, -5890, -10225, -15802, -22621?\nAnswer: -30682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 3 - (7 - 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 81*w**2 - 2*w - 10. What is the tens digit of r(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 9 + 63. Let o(z) = 77*z + 28. Let h be o(k). Suppose 7*p = -p + h. Calculate the remainder when p is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 9:43 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -213*s**3 + 11*s**2 - 18*s - 9. Let p(z) = -106*z**3 + 5*z**2 - 8*z - 4. Determine -4*j(o) + 9*p(o).\nAnswer: -102*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q + 3. Let j(s) = 4*s - 2. Let z(o) = 4*j(o) + 5*u(o). Let r(c) = c**3 - 8*c**2 - 9*c. Let x be r(9). Does 3 divide z(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i - 2. Suppose -f + 0*f = i. Let s = 69 + -348\/5. Which is greater: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.041145 + -0.041. What is c rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/12 (b) 42.1 (c) 0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/1056)\/((-2)\/54*5*(-5)\/25).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 19 = 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7014.87 microseconds?\nAnswer: 7.01487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.45 * 13284.1.\nAnswer: 45830.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from novvvvaaovnv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.7109 micrograms in kilograms?\nAnswer: 0.0000000437109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2502097 + -9661301?\nAnswer: -7159204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + 192. Let q = s + -218.06. Let d = q + 0.06. Sort d, -5, -2\/5 in ascending order.\nAnswer: -5, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 - 48*g**2 - 158*g - 144. Let x(z) = -2*z**2 - z. Let j(f) = q(f) + 2*x(f). Factor j(a).\nAnswer: -4*(a + 2)**2*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1044 and 580.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/(9\/(-3)) + (25 - 29). Solve 5*x - 4 = y*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1032 and 103561544?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)*p*p**2)\/(p\/((p*p*p**(2\/3))\/p)*p)**27 assuming p is positive.\nAnswer: p**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Let w(q) = 24*q. Let y be 1230\/8 - 5\/100*-5. Let p = y - 153. Determine p*w(r) + 18*m(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 7*h - 3*s - 27462 = 0, -4*s - 82426 = -3*h. What is the thousands digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 1*sqrt(84)*-4) + sqrt(84))\/(sqrt(768) - sqrt(768)*2)*-4*1.\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (-2 + sqrt(242)))**2 - 1*sqrt(72).\nAnswer: -6*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h = -31*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7 = n, -2*n - 3*n - 2*b = -21. Suppose -2*c - 4*c + 18 = 0. Suppose c*p - 4 = n. Solve -p*q = -3*g - 4*q - 8, q = -2*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 6:35 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/8)\/((-6)\/(-24)). Let i(h) = -h**3 - 8*h**2 - 8*h - 4. Let c be i(m). Suppose 3*u - 429 = -4*x, -2*x = -c*u + 2*u + 143. Is u a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5552218?\nAnswer: 2, 7, 19, 20873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174*n**6 - 4*n**2 + 16*n wrt n?\nAnswer: -20880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Suppose -g = -4*t + 652 + 1330, -3964 = w*g + 5*t. Let p = g + 5891\/3. What is the common denominator of p and 95\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.054595437 * -0.5.\nAnswer: 0.0272977185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 11*o - 9*o = 567, 5*h - 3*o - 562 = 0. Calculate the least common multiple of h and 4.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3 - (-21)\/7 and 9\/18*44\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8788, 17654, 26506, 35344, 44168, 52978?\n\"Answer: -7*c**2 + 8887*c - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/136233094 and 75\/4.\nAnswer: 272466188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 14\/(-6)*3. Suppose -b*a = 4*u - 40, -3*u + 0*a = 2*a - 29. What are the prime factors of (-6)\/4*(-696)\/u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*j - 3*k, j + k = -2*j - 5. Solve 5*g = 2*o - 10, -3*o + 0*o - 2*g + 15 = j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -11*w + 90. Does 10 divide t(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96*h**2 - 3*h - 7*h - 53 + 7*h + 1600 wrt h.\nAnswer: -192*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.27627 decades to years.\nAnswer: 2.7627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-48)\/(-56))*1245\/(-3735).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2595723 or -2\/5?\nAnswer: 2595723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35\/23 or -3?\nAnswer: -35\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -94\/31 (c) -1 (d) -2\/7 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-7)*-11*1. Solve k - 4*y - y + 23 = 0, v = -k + 2*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -26, 2, 6 in decreasing order.\nAnswer: 6, 2, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*m + 3)*(-4 - 1 - 1).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w, 6*w = 2*y + 3*w + 12. Let k be 4262997\/(-28)*-4 - y\/14. What is k rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**3 - v**2 + 2*v + 2. What are the prime factors of a(-3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 94.7307 and 1.\nAnswer: 95.7307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 7:24 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 527824*b**5 + 4933634*b wrt b.\nAnswer: 10556480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -91.9, 2\/5, -1, -4, 2?\nAnswer: -91.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -0.2, 39\/2, -2, 0.2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7248 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: Let l be 1 - -14 - (3 - 1). Let y be 3 + -1 + -3 + 1. Solve -2*z + l = -z + 5*c, 2*z + 2*c - 2 = y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3112, 6226, 9340?\nAnswer: 12454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -116*g**3 + 18*g**2 + 37*g + 67. Is d(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1816*x - 1 - 6 - 1758*x.\nAnswer: -3574*x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n + 5*n + 3*n**2 + (-35*n + 27 - 27)*(3 - 3 - n) + 0 + 0 - n**2.\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 - 10*p**2 + 18*p**2 + p - 7*p**2 + 2*p**2 + 1. Give b(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.9, -1\/2, 31, 1, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*o - 5*u - 19 = 0, -15 = 3*u. What are the prime factors of 3 + 11\/(-3) - (-898)\/o?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + 0*w - 25*w + 6*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69.6 + -70. Which is the closest to -2\/3? (a) 0.01 (b) -1\/3 (c) -2\/9 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102426 and 1118.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -24*a - 100. Let p be o(-5). Solve 22*u + 6 = p*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66469\/18516 - -10\/1543. What is the common denominator of i and 61\/2772?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -f + y, 6*f - 2055*y = -2053*y + 30 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133292 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from futxrtu. Give prob of sequence uuf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 10:34 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419 = 2*f - 3*f - 432 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2820 and 200.\nAnswer: 28200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*f + 28 = 0, -5*f = -4*i - 0 - 4. Let x be 2\/6 + (i\/6 - -4). Solve -9*z - 20 = -x*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -3. Let w be -2 + (0 + j)*-2. Suppose 4*i - 3*d + 11 = w, 0*d = -d + 5. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-18)*(4\/(-8) + -2). Is l > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -2, 1, 3, 292 in decreasing order.\nAnswer: 292, 34, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.147.\nAnswer: 0.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -441, -1003, -1567, -2133, -2701?\n\"Answer: -b**2 - 559*b + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 29. What is the biggest value in -0.3, -2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 1384738?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -0*s. Let x be (-4)\/6 + 7\/s. Let z be 3\/(-2)*6\/21. Which is the closest to -1? (a) z (b) 1\/11 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/14 and -58\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/31, -0.41, 5 in descending order.\nAnswer: 5, -1\/31, -0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1108*a + 2035*a + 1336*a.\nAnswer: 2263*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(162))\/((sqrt(441)*2 - sqrt(9)) + sqrt(9)).\nAnswer: 9*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 1033 = 433. Suppose -3*f = -i + 5*i + 31, 3*f - i + 11 = 0. What is the common denominator of -40\/9 and -28*f\/n*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t**(-3\/2)\/t*(t*t**(-2\/7)\/t)**(-2\/15))**(2\/19) assuming t is positive.\nAnswer: t**(533\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) + ((sqrt(2016) - sqrt(2016)*-1) + sqrt(2016))*4 + sqrt(2016))\/(1*sqrt(2048)).\nAnswer: 21*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 166*q**2 - q - 14. Let a(r) = 55*r**2 - 5. Calculate 8*a(h) - 3*j(h).\nAnswer: -58*h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18785*c - 3*c**2 + 0*c**2 + 18785*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 5.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 4. Suppose 18 = 4*r - b, 0 = p*r + 3*b + 10 - 24. Suppose 0*c - 20 = -r*c. Let x(s) = -3*s + 6. Give x(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -78*f**3\/5 + 9309*f**2 + 12567*f\/5 - 3582 = 0?\nAnswer: -10\/13, 1\/2, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 12585570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**7\/42 - k**6\/15 + 97*k**4\/4 + 117*k**3\/2 + 12750*k. What is the second derivative of t(l) wrt l?\nAnswer: 20*l**3 - 24*l**2 + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -30*z**2 - 5693*z + 8. Let f(n) = -2*n. Give m(f(j)).\nAnswer: -120*j**2 + 11386*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3\/2))**(-43))**(1\/13))**(3\/19) assuming h is positive.\nAnswer: h**(387\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*r - 40. Suppose 18*l - r*l = 4. Suppose 2*o + m = -4*m + 14, -12 = -4*o - l*m. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*h = 298*h - 4*g - 39137976, -2*g = 2*h + 39137988. What is h rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.161162km to micrometers.\nAnswer: 8161162000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(28) + (sqrt(28) - sqrt(168)\/sqrt(6))) + 4*sqrt(700))\/(3*sqrt(324) + sqrt(36)\/(sqrt(9)*-1)).\nAnswer: 7*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -564803 divided by 27?\nAnswer: -564803\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1617\/(-63) - -25)*(-2 + 76\/44)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*a - 426*a - 9504 = 0 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10*(-15)\/(-12). Sort 2\/3, -0.2, g in descending order.\nAnswer: 2\/3, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -3. Suppose -2*d - 8 = -6*d - 4*k, 2*k = -5*d + 13. Suppose 0 = i + 8*g - 3*g + 3, 2*i + d*g - h = 0. Solve i*m + 3 = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + -9 + (-2 - (-7 + 14 + -17)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03354 + -0.96646. Sort -4, 0, 2.4, -1\/5, g in descending order.\nAnswer: 2.4, 0, -1\/5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-3 + 3 + (2 - 9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*n + 14. Solve -n*t + 25 = 0, 0*c - 24 = c - 5*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -422322402401?\nAnswer: -422322402344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*47\/47.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -643 divided by -21?\nAnswer: 643\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 160634223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*(d**(-2)\/d)\/d))*d*d*d)**(8\/7))**(-1\/6)*((d\/((d\/d**(2\/3))\/d))**(5\/8))**12 assuming d is positive.\nAnswer: d**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + p + 2. Let v be x(0). Let b be (5\/v)\/(3\/6). What is the greatest common factor of 55 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -1.8. Let z = -0.5 + 1.6. Let j = s - z. Which is the closest to j? (a) 1\/3 (b) 1\/11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 4*v**3 + 5*v**2\/2 + 3*v + 6. Let w(s) = 23*s**2 + 11*s + 7. Let q(c) = 9*o(c) - 4*w(c). What is the units digit of q(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**3 - 2*p**3 + 6*p**2 - 5*p**2 + (-1 + p + 1)*(2*p**2 - 2*p**2 - 2*p**2) - p**2 + p**2 - p**3.\nAnswer: -10*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 289\/(-340)*525\/56. Which is smaller: n or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6 - 2. Sort -3, 2, y in descending order.\nAnswer: y, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 6, -6 in ascending order.\nAnswer: -10, -6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -378017, -378041, -378065, -378089, -378113?\nAnswer: -378137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6173 and -4.\nAnswer: 24692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neenhhheneeehenewee. Give prob of picking 2 n and 1 e.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -50.4?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8266, -34059, -77048, -137233, -214614?\n\"Answer: -8598*z**2 + z + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010100111110 - -1?\nAnswer: -1101010100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1 + sqrt(45))*5 - (((sqrt(270) + sqrt(270)*2 + sqrt(270))\/sqrt(6))**2 - sqrt(45))).\nAnswer: -717 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005 = 138*b + 18*b + 5*x, -5*x + 2*x = -4*b - 63 - 52 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*b + 45*b - 26158 = -746*b - 48*b for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2. Let d be n(1). Suppose -8*k + 9*k + 180 = -11*k. Sort 0, d, 5, k in decreasing order.\nAnswer: 5, d, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 10*x - 16 = 0. Let j = 0.1 + -4.1. What is the nearest to -1 in x, 2\/11, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(847) + -2 + 0 + sqrt(847) + -5 + sqrt(847) + 0 + 3)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/1656 and -157\/2208?\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 23*g**6\/6 + 15*g**2 + 11. What is the second derivative of p(r) wrt r?\nAnswer: 460*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-4614.06.\nAnswer: -138.4218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**8\/6720 + k**7\/1260 + k**6\/720 + k**4\/24 + 3*k**3 - 20*k**2. Let y(d) be the second derivative of x(d). Calculate y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -k + 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -18. Let l(s) = -s**3 + 4*s**2 + 8*s - 6. What are the prime factors of l(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1308, 2763, 4218, 5673, 7128?\n\"Answer: 1455*x - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 8*i - 16. Let x be c(-11). Suppose -4 + x = n. Find the second derivative of n*h**4 + 39*h - 21*h - 28*h wrt h.\nAnswer: 156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 (base 10) to base 9\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4977\/(-5733) - (-12)\/78\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -1.7.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, c: 13}. Give prob of picking 2 w.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23492815937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 264253*a*y**4 - 3*a*y**2 + 19*a*y - 29*a + 2*y**2 + 6*y wrt y.\nAnswer: 6342072*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = -5*z. Let c(p) = -2*p**2 + 12*p + 79. Let x be c(10). Let y(l) = -l**2. Let o(q) = 2*q**2 - 2*q + 2. Give x*o(a) + z*y(a).\nAnswer: -a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 25 - (35 + -30 + 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -73 * -0.1\nAnswer: 7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3213 and 306?\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + k - 4227, 16*k + 2091 = 2*q + 21*k. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**7\/42 + h**6\/8 + 2*h**2 + 51. Let j(f) be the second derivative of p(f). Let j(m) = 0. What is m?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111000 + 1010001111000010?\nAnswer: 1010010100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169980*r**2 + 2*r**3 + 0*r**3 - 169980*r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162733032 or 488199094\/3?\nAnswer: 162733032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + i + i = 4, i = 1. Suppose 0 = 5*a - 3*a + 4*q - 6, 5*q - 6 = -n*a. Let f(r) = -r**3 - 10*r**2 + 12*r + 6. Let g be f(-11). Sort -1, g, a.\nAnswer: g, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f + 15 = 0. Calculate the remainder when 19 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406baf (base 16) to base 9.\nAnswer: 7844277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10706, -21660, -32614, -43568, -54522, -65476?\nAnswer: -76430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 5:59 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 3:54 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20872 - 14?\nAnswer: 20859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164625 (base 7) to base 13.\nAnswer: -11c88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -5 + 4\/1. Suppose -2*m - 8 = 2*l, 2*l + 2*l + q = -m. Let a(r) = -r**3 - 6*r**2 - 5*r - 3. What is a(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -964\/3 + 18286\/57. Let f = 79\/114 + v. Let o = 10 + -8. Sort o, -4\/3, f.\nAnswer: -4\/3, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(3*(-56)\/24).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*w = 34, -5 = -q + 3*w + 4. Suppose 17507 = q*t - 52741. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 - 3*l**3 + 2*l**3 + 3 - 3 - 3*l**3 + (2 - 2 - 2*l)*(-2*l + 2*l**2 + 2*l) - 2*l**3 + l**3 - l**3.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 284\/138011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2 (b) -0.1 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2. Let v(l) = -2*l - 33316146. What is v(h(t))?\nAnswer: -2*t**2 - 33316146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*y**2 + 212*y**2 + 101*y**2 + 80*y**2.\nAnswer: 148*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 31331233313?\nAnswer: -31331233321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5341809 is divided by 5341690?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*c + 43*c = -6435. Let o = c + 92. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*k + 30. What is the highest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/112 + 2\/7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/9 + 17\/18. Let f = -39.094 + 0.194. Let x = f + 39. What is the nearest to x in 1\/3, a, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1060458729 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-28))\/(60\/(-53130)*33).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 800307401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -113631591 - 24083\nAnswer: -113655674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -12753561 and -12753561 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -5962*q + 5966*q + 52, 0 = 2*q - 9*w + 116 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 - 87*t**2 - 950*t - 7230. Determine z(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 127 = 21. Calculate the remainder when l is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -24142\nAnswer: 15\/12071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 32 = 4*z - 6, 3*i - 1 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 24 - 196 = 0. Let v be 105\/33 - 8\/m. Let o(i) = 2*i**3 - v*i**2 - i**3 - i + 1 - 4 + 1. Give o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i)\/((i*i**(2\/7)*i*i)\/i)*(((i*i\/(i*i*((i*i**(-1\/4))\/i)\/i*i*i)*i)\/i)\/i)**10 assuming i is positive.\nAnswer: i**(-263\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 2)*(5 + 0 - 1)*(2*d - 2*d - d) as y + z*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-81))\/((-1)\/(-3))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-6)\/m)*(m*(m*m**(-7)\/m)\/m)\/m)**22 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**10)\/c)\/c*c\/(c*c*c*c**(-2\/63))*((c*c**(1\/2)*c)\/c)\/(c*c**8))**44 assuming c is positive.\nAnswer: c**(-1298\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 5*b - 2*b + (-3 + 4 - 2)*(b - 3*b + 4*b) + 9*b + 5 - 11*b - 3 in the form l*b + g and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 18. Let g be z(8). Let b(a) = -89999*a**2 + 2*a + 1. Let n be b(g). Let j be (-3)\/8 + n\/24. What is j rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 7*h + 6. Let d = 90 - 60. Suppose d = 3*q + 2*q. What is y(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 9*p**2 + 10*p - 18. Let t be k(-10). Let y(q) = -7*q + 6. Is y(t) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -23*q + 6. Let g be k(-6). Suppose 3*t = 2*j - 62 + 32, 58 = 4*j - 5*t. What is the greatest common divisor of g and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**2. Let i(l) = 372*l - 330. Let c(f) = 221340*f - 196416. Let m(z) = 5*c(z) - 2976*i(z). Calculate m(v(h)).\nAnswer: 2976*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a + -47?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*v + 7 - 9, -v = d + 2. Suppose 0 = c - 10 + 4. Suppose -m - c + 4 = 0. Which is greater: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -1140246.\nAnswer: 4560984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-16)*12\/(-10). Let g(o) = 2*o - 6 + 0*o + 2 + o**2. Determine g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03369 + -0.00131. Is n at most as big as 209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**3 - 32*k**2 - 45*k + 19. Let w(q) = -q**3 + 8*q**2 + 11*q - 5. Let j(s) = -2*n(s) - 9*w(s). Calculate the least common multiple of j(9) and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 1\/2 (c) -2\/17 (d) -0.4 (e) 2749\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 4\/67019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*k + 1 = -6, 4*v - 3*k = 13. Suppose -d = -3*c + 643, -9*c + 2*d = -v*c - 1073. What are the prime factors of c?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2\/(-34)*8*32\/(448\/(-119)) and (-34)\/(-4) - (-2)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7592102.13 - -0.041891.\nAnswer: -7592102.088109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*51*(-32)\/384?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-15))\/((-112)\/96)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v + 7*v**2 - 10*v**2 + 2 - v + (3 - 3 - v)*(v + 5*v - 832 + 960) as t*v**2 + k*v + w and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 848.0357 kilograms to micrograms.\nAnswer: 848035700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106 and 54704851.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -49, -49, -23, 35, 131?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 70666 = 629334. What is j rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + 0)*(2 + -1). Let x = -71 - -107. Suppose 0 = s - 3*i - 12, x = s + 2*i + b*i. Calculate the highest common divisor of 14 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -546, -570, -594, -618, -642, -666?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14\/3, 5, -1, -15, -18\/11, 2.02?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(-2)\/5 + 6448. Let x = -3841 + y. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7693.987 - -7694. What is the second biggest value in x, 4, 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 326429986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-98)*-3*(-2)\/(-6)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 32, 44, 56, 68?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 344 - 244. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 3 + 3 + -3 + 0. Suppose -4*h = 3*c - 428, -j*c + 532 = 5*h - 0*h. Let z = -23 + h. What is the greatest common factor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 5, 4, -53567 in ascending order.\nAnswer: -53567, -3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17128 - -17380. Solve -86*x + 23*x = -u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 13. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845*f + 3981*f + 149931 = 42133 - 74090 for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-565)\/(-45)*3)\/(2\/30)?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (16 - (-14 + (5 - -10)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3687 a factor of 1949921568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 34432 divided by -32\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by -8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/2))**(-11)\/(i**(-4))**(-49) assuming i is positive.\nAnswer: i**(-359\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/5, -2\/7, 15, 0.4, -11, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3464964 divided by 192498\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Round 59.097311 to two decimal places.\nAnswer: 59.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = 5*b, -42*w - 8 = -2*b - 44*w. Solve 5*u = -4*o - 6, b*u - 3*o = 3*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, o: 4, i: 2, j: 1}. What is prob of sequence iie?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1835 + -1834.91626. Round b to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 163.8.\nAnswer: 164.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 21\/3 - 1. Let s be 1\/(-2) - (-2)\/x. Suppose 6*g - 5*g - 73 = s. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 21*c**2 - 1526*c + 217. Give q(-51).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/((-25)\/4))\/(3\/15). Let t be 672 - 0 - (w - 8). Suppose -4*a - 158 = -x, -t = -4*x + 2*a + 3*a. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20807, -20839, -20847, -20825, -20767, -20667?\nAnswer: -20519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 24. Put -5, -14, z in decreasing order.\nAnswer: z, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -5247?\nAnswer: -5247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5978*j**3 + 12242*j**3 - 6103*j**3.\nAnswer: 161*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 2554580518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4209*z**2 - 2155*z**2 - 2454*z**2 in the form v*z + u + f*z**2 and give f.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4585222*p**4 - 3001388*p**2 wrt p?\nAnswer: -110045328*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n\/(n*n**(-6\/11)*n))))\/n)\/n*n\/(n\/(n**(-1\/5)*n))*n)\/(n*((n*n**11\/n*n)\/n)\/n*n*n*n*n\/(n\/n**(-24))) assuming n is positive.\nAnswer: n**(514\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + i + 32 = 0, -5*q - 2*i + 33 = 7. Suppose 0 = -3*f + f - q. Suppose -1003*j + 84 = -1031*j. Is f >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - 39) + 0 + 4 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -4. Suppose -6*k - 9 = -g - 3*k, -k = 2*g - 11. Let d = a + g. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/100 of a centimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -328 or -327?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puguuog. What is prob of sequence guo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064\/(-344)*2\/28?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38031, 152127, 342287, 608511, 950799, 1369151, 1863567?\n\"Answer: 38032*j**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - m + 5*m - 2*m.\nAnswer: 2*m + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36620 times 5234?\nAnswer: 191669080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8922b (base 12) to base 2.\nAnswer: 101100011000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = -3*c. Let t(u) = -12*u + 1. Calculate t(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001019134 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/15)\/(3164\/(-2486))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 44. List the prime factors of n(17).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 0*b**3 + 0*b**2 + 93 - 61\/2*b**4 + 25*b. What is the derivative of y(x) wrt x?\nAnswer: -366*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.192 and 0.07?\nAnswer: 1.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: c3766 (base 14) to base 15\nAnswer: 946e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 21*q - 90. Let v be s(-6). Which is smaller: v or 16\/27?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -3. Suppose -m = m + 10, -3*m + 25 = 5*t. What is the lowest common multiple of x and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61244590 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -464587 divided by -106\nAnswer: 464587\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 + 10*32\/(-40). Suppose -3*j + 6*j + 9 = 0. Let b be (-2)\/(-17) + (-128)\/(-68). Put j, b, -18, c in descending order.\nAnswer: c, b, j, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-12) + 3\/8*910 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -736700 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 9:26 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + 1 + 397 + -403?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 3*w**2\/2 + 6*w - 58. Calculate u(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*12\/(-9). Let d = -567 - -2269\/4. Which is the closest to 0? (a) v (b) d (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-15)\/(-2)))\/(2904\/(-29040)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1156 * 0.4.\nAnswer: -462.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 830*-0.15\nAnswer: -124.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -438, -0.2, -0.3, 13.\nAnswer: -438, -0.3, -0.2, 2\/11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1401330004 - -1?\nAnswer: -1401330003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -28, -72, -130, -208?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 50 = -250. What is the highest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.71 - 0.29. Which is the third biggest value? (a) r (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37314 = -1238*o - 1108*o - 168690 for o.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80 - 168 - -47) + (0 - 15) + 0.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 331\/9. Let z = -0.01 - 3.99. Let d = -3 - z. Sort 1\/8, d, w in decreasing order.\nAnswer: d, w, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/10 and 675\/258*(-1)\/(-3)?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20454738 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.01338 nanograms to kilograms.\nAnswer: 0.00000000005801338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5815*v**3 + 5813*v**3 - 11625*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**4\/8 - 1027*p**3\/8 + 58653*p**2\/4 - 1120905*p\/2 + 185193 = 0.\nAnswer: 1\/3, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(3\/7)*y)\/y*y\/(y**(1\/38)\/y)*y**(-6\/17)*y\/(y*y*(y\/(y**(-2\/105)\/y))\/y))**(-1\/6) assuming y is positive.\nAnswer: y**(-69883\/406980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -25. What is the common denominator of (1\/5)\/(b\/(-218)) and -29\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(30)\/sqrt(5) + sqrt(6)))\/(sqrt(1728) - sqrt(3)))**2.\nAnswer: 200\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*k - 1. Let i = -58 + 57.9. What is the closest to i in k, -1\/3, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -4893 in ascending order.\nAnswer: -4893, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = 6. Solve -2*h = -w*h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.48 - 21.52. Let m = 22.12 + i. Let x = m + -0.148. Round x to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 655 = 4*g, -4*a + 13 = -g + 158. Suppose -m - g = -178. Solve 11 = 2*h - i, -3*i = -4 + m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1157528, 1157519, 1157510, 1157501, 1157492, 1157483?\nAnswer: 1157474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -17*x**3 + 11*x**2 + 15*x + 11. Let d(c) = -5*c**3 + 3*c + 5*c + 6 - 4*c**3 + 6*c**2. What is -6*b(g) + 11*d(g)?\nAnswer: 3*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**16\/i*i**(-16)*(i**(-16)*i)**(-3\/2) assuming i is positive.\nAnswer: i**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-123)*(-30)\/(-48)*150\/125?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 447465 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2 - 53*y + 21. Let c = 48 + -34. What is the remainder when b(12) is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a century in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 131574 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 - 23. Let y = -78.33 + h. What is y rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*f + 8, 20*j + 127 = -0*f + 4*f + 2 - 3 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117 - 20*i**3 - 117)*(0*i**2 + 3*i**2 - 4*i**2).\nAnswer: 20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15 - 5 - i + i**2 - 6*i. Suppose -43 = o - 48. Let s be p(o). Let v(r) = r**3 - r**2 - r + 5. Give v(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 17708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + t = 4*d + 185, -1604*d = -1600*d - 2*t + 190 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197180911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, x: 8}. Give prob of picking 2 x and 1 k.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - x + 56 = 0, 10*r - 5*r - x = 256. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309302?\nAnswer: 2, 7, 22093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 15*h**2 - 1. Let w be n(-1). Let r = -12 + w. Suppose -3*t - r*t + 50 = 0. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -16*z**3 - z**2 - 8*z + 8. Let p be i(3). Let n = -48 - p. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (98\/24 - (-67)\/(-268))\/(4\/(-18)) and 2\/5 + 162\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y + 5*y**3 - 3*y**3 - 4*y**3 - 4 - y**2 + y**3. Let d be k(-3). What is the second derivative of -5*m**d + 3*m + 6*m**5 - 5*m + m wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1035, 3, -1\/17, -3 in decreasing order.\nAnswer: 1035, 3, -1\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -312579 or -312585?\nAnswer: -312585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-87965)\/(-193450) - (-7)\/((-175)\/30) and (-1)\/2 - 104\/(-22)?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(117) + -6*sqrt(117)*-2))**2 - (sqrt(104) + sqrt(104) + sqrt(104)*-1*-6)\/((sqrt(80)*-1)\/sqrt(10) - sqrt(8)).\nAnswer: 4*sqrt(13) + 711828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8367859 a multiple of 1080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 2*r**4 - r**3\/3 - r**2 + 2*r + 3. Is 15 a factor of l(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*q - 381 - 803. Solve q*a = 19*a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 113652.\nAnswer: 454608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42084670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 157063 (base 8) to base 16\nAnswer: de33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-five quarters of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(15\/(-6)*2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r + 7*r - 20*r)*((4 + 3 - 5)*(0 + 1 - 3) + 3 - 2 + 1)*(20*r**4 + 727*r**2 - 727*r**2).\nAnswer: 200*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 148 = -5*w, -2*w + w + 2*c = 32. Let i be 6\/6 - (-13 + 0). Let q = w + i. Find the common denominator of -121\/10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51542447?\nAnswer: 11, 53, 211, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (14 - (6 + 1)). Solve -2 = 6*t - w*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 62, 113, 190, 299, 446, 637?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161575401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7039*u**6 + 2002*u**2 - 11 wrt u.\nAnswer: 844680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22771325 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u - 328 = 4*j, 0 = -3*u + 4*j + 242. Let a = 120 - u. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/171456 and 17\/29088?\nAnswer: 51951168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 13 = -43. What are the prime factors of 6270\/27 + r\/(-27)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Let m be 6\/(-4)*40\/6. Let f = 11 + m. Solve k = 3*l + 11 + f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 8*b**2 + 2*b - 11. Let t be u(8). Suppose -t*p = -l + 6*l - 115, 2*p - 3*l - 26 = 0. Let y = -12 + p. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -232 + 257. Which is the smallest value? (a) -3\/4 (b) w (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 722?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25610556 a multiple of 2128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + 4 + -1*(5*sqrt(425)*-1 + sqrt(425) + sqrt(425)) + 5.\nAnswer: 12 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 123050041 (base 6) to base 2\nAnswer: 1001000110100000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -233, -239, 209, 1339, 3379, 6557, 11101?\n\"Answer: 38*o**3 - o**2 - 269*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62\/15 - 19\/5. Which is the biggest value? (a) -4 (b) k (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6437 - 6435. Find l such that 7\/2*l + l**4 + l**2 + 1\/2*l**5 - p - 4*l**3 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*j + 62, -4*g - 2*j = -50 + 164. Let h = g + 62. What is the highest common factor of h and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aauabakuabuktbab. Give prob of sequence tua.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 42\/23141 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 + -22. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 200816 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 30 + 344*o**2.\nAnswer: 344*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-11)\/(-44)). Is (1 - h)\/(((-6)\/(-2963))\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-16 + (9 - -3)) - 17?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*t = -7*t - 810, -x = -5*t - 207. Are 1217\/6 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 8*l**2 + 3*l + 26. Give q(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - 54. Let w be (0\/l)\/2*2\/4. Suppose -3*x + w*x = 6, -o + 12 = -4*x. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(847) - (-1 + 3*sqrt(847))))*-3.\nAnswer: 3 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-10 - -15 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24089 and 48465?\nAnswer: 24376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 - -2.03. Suppose 5*t - 5*m - 195 = 0, -5*t - 9*m + 11*m + 210 = 0. Let h be 19\/39*-1 - t\/(-286). Sort 1\/2, h, k.\nAnswer: h, 1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1169612 to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 - 5*d + 2. Let k be c(2). Suppose -3*w = 8*w. Suppose w = -7*t + 39 - 4. Solve 4*b = -4*l - k, t*l + 4 = l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -884 = -3*n - 2801. Let f be (-1500)\/(n\/216 - -3). Round f to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100001101111111110011110 (base 2) to base 7\nAnswer: 135125524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3934871 is divided by 135685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80 (base 16) to base 15.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjrrzeezrerzrezzre. What is prob of sequence zjz?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1502 - 882. What are the prime factors of r?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/31? (a) 0 (b) -5 (c) -0.3 (d) 3\/7 (e) 0.423\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -467877 times 4?\nAnswer: -1871508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 70057.361 and -12.\nAnswer: -840688.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/6)\/(t*((t*t**(-10)\/t)\/t)\/t*t))\/(t*t*t**(-4\/7)*t*t*t**(-1)*t))**(-16))**(-6) assuming t is positive.\nAnswer: t**(4304\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1879350 and 35.\nAnswer: 13155450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 + 1. Let t(x) = 441*x**3 + 189. Calculate -378*l(a) + 2*t(a).\nAnswer: 126*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttuttthuhtt. What is prob of picking 1 u and 3 t?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -184487*m**4 - 169*m**2 - 61130446?\nAnswer: -737948*m**3 - 338*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -688*p + 1379. Let j be v(2). Sort -199, j, 1 in descending order.\nAnswer: j, 1, -199","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 939? (a) -3\/4 (b) -3 (c) 17 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.10885 milligrams in tonnes?\nAnswer: 0.00000007510885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1852 is divided by 463.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.773 + 0.027. Let g = -16.799847 + a. What is g rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h*o*p**3 + h*o*p**2*v - 2*h*o*p*v**2 - 9*h*o*v - 918*h*p**3 + 2*h*p**2*v**2 + 2*h*p**2 - 2*h + 3*p**3*v**2 wrt p.\nAnswer: 12*h*o - 5508*h + 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5253, 10409, 15565, 20721?\n\"Answer: 5156*v + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 j, 1 w, and 1 p when four letters picked without replacement from {y: 4, j: 1, p: 2, w: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5587 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*p = 4, 20*q - 3*p - 135 = 13 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7302904 take away 9906675?\nAnswer: -2603771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -1\/12*m**4 - 7\/2*m**3 + 0 + 69*m**2 - 4\/21*m**7 + 0*m + 0*m**6 + 0*m**5. What is the derivative of l(w) wrt w?\nAnswer: -160*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32949*b**6 + 7088*b**4 + 4*b**2 + 55711206*b.\nAnswer: 3953880*b**3 + 170112*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - 1*(sqrt(95)*1 + sqrt(95)) - -1*sqrt(95)*-6)\/(sqrt(2880)*1).\nAnswer: -7*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**3\/3 + 25*d**2\/2 + 10*d - 6. Let n be f(-25). Suppose -3*s - 4 = -22. Solve 5*x + 4*w = -10, s*x = x - 3*w - n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -17. Suppose -4*r - 265785 - 294215 = s. Round r to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 33) + 28 + 3 + -76\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1685 > -15170\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -33202?\nAnswer: 5\/33202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/9, 2, -2\/11, -0.5, -23, -1543?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggwwgwggwhg. What is prob of sequence gw?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 18*y + 88 = 5*r, 2*r + 3*y = 22. Solve -r = 4*j, 3*p + 50 = -3*j + 17 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 2 - (6 - 7). Suppose n*q - 96 = -6*h + 2*h, 3*h - 2*q - 55 = 0. Is (-7)\/(-2)*7908\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 0)\/(3\/2). Suppose s*m = -4*q + 12, -5*m - 2*q + 3 = -q. Suppose -5*g + 23 = -a, -g + m + 7 = -a. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/103211427 and -105\/1842346?\nAnswer: 4747725642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 17. Let r(b) = -3*b**2 + 4*b + 8. Let f(v) = 5*v**2 - 8*v - 15. Let m(l) = -4*f(l) - 7*r(l). Let j be m(-4). Solve -j*u - u + 5 = k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvvxv. What is prob of picking 2 v and 2 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 11*i**2 + 19*i + 12. Let t be r(-9). Let m be t\/((54\/8)\/9). Suppose -v + 0*p = 2*p - 1351, -5*v = -m*p - 6825. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*d + 16 = 239*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-12))\/((-10)\/(-75)). Let d be 3\/(2\/((-4)\/27)). What is the second smallest value in d, -0.2, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -687*k**3*t + 2*k**3 + 141 wrt t?\nAnswer: -687*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 4*b**2 - 13*b - 4. Let x be k(-6). Suppose 350 = 37*i - x*i. Let a = 3 - 0. Solve -i = a*m - m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/8)\/(125\/(-10) + 11). Let o be (-14)\/(-4) - (0 + 1). Let x = -4 + 4.4. Which is the third smallest value? (a) m (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/10, -28, -3, -36?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 0.38.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28218 and 24.\nAnswer: 112872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6376007 millilitres?\nAnswer: 0.0006376007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (245\/14)\/(-7)*(-8)\/10. Suppose 0 = 4*t + o*l + 210, 28 = -5*t - 4*l - 227. Let x = t + 305. Is x a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 28*h + 32. Let s be t(-15). Let p(r) be the second derivative of 0*r**s + 0 - 1\/36*r**3 + 5\/72*r**4 + 3*r. Suppose p(i) = 0. Calculate i.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5 = -3*l, l = 4*h - 13 - 7. Let b = 25 + -25. Let c(w) = -w**3 + b*w**2 + w**2 + 2*w**2 - 1 - 2*w**2. What is c(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-2\/21)\/z)\/z*z)**(-41)*(z**(10\/7)*z)**(10\/9) assuming z is positive.\nAnswer: z**(416\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065514391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 19 = 1. Let f be o\/24 + (-26)\/(-8). Suppose 3 = -r + f. Let k(z) = 9*z. Calculate k(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(209)*2)\/sqrt(11).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 3, 4\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 15*v**2 - 2*v - 2. What is the remainder when 72 is divided by k(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 11*r**2 - 22*r + 55. Let x be y(-13). Let g = -6 + 13. Let t(p) = -p**2 + 8*p + 2. Let u be t(g). Solve x*w + 0 = u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2702192\/393237 - 4\/30249. Let n = -22\/3 - y. What is the biggest value in -3, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.2 - -27.7. Let g = 16 - 7. Let s = w - g. Round s to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25489, -102944, -232035, -412762?\n\"Answer: -25818*d**2 - d + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012291456 to the power of 1\/2, to the nearest integer?\nAnswer: 54884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 5 = -2*o + 2*g, 2*o + g = -7. Let r be o\/10*0\/1. Let s be ((-6)\/(-15))\/((-3)\/(-5)). Sort r, s, 2, -5 in increasing order.\nAnswer: -5, r, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(2)*2)\/sqrt(3).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8 + 23 - 20 - 15*f + 78 + 21. Let b be q(7). Solve -3*j + 16 = 2*u, -5*j + 18 = -3*j + b*u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r = 4*u - 23*r - 6, 5*u = 2*r + 12. Solve 20 = u*a + 4*b, 12*a + 5*b = 17*a + 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 9*o - 72. Solve -2*k = v - 5, -3*v = 2*k - v - o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51417.88 kilometers to nanometers.\nAnswer: 51417880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 7 + 4 + 2 + 0 - 3 + 3 + 1 - 5 + (-5 + 0 + 4)*(3 - 4 + 0))*(i + 3*i + 0*i)*(3 - 3 - 1) in the form u*i + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2008 by 2627.\nAnswer: 2008\/2627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l - 7*l)*(4*l + 0*l - 2*l)*(28*l + 11 - 2*l - 13).\nAnswer: -260*l**3 + 20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1722 + -1184. Let x = 951 - o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -397*n**3*s**3*v**2 + 3*n**3*s**2*v**3 - 61*n**2*s**2*v**2 - 10*n**2*s*v**3 - 3*s**3 - 3 wrt n.\nAnswer: -2382*s**3*v**2 + 18*s**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 2:17 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/7 - 144428*s\/7 - 144430\/7 = 0 for s.\nAnswer: -1, 72215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r + 58. Let j be i(9). Solve 2*h + j = -6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 18 - (1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -11*z**7\/840 + 49*z**4\/24 - z**3\/6 + 10*z**2 - 2. Let u(n) be the first derivative of w(n). Differentiate u(l) wrt l.\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + -5 + (-5)\/((-20)\/3156). What is the greatest common divisor of 19 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -79*c**2 + 3*c + 3. Let f(i) = -78*i**2 + 2*i + 2. What is -3*f(r) + 2*l(r)?\nAnswer: 76*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q\/(q\/q**(-2\/5)*q)))\/q)**(-30))**15 assuming q is positive.\nAnswer: q**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + 1*sqrt(275)*-1)\/(sqrt(5) - (-2*sqrt(50))\/sqrt(10)))\/((sqrt(99) + sqrt(99)*-2 - sqrt(99))*1*-4) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5486401 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/6 + 82\/4. Suppose 0 = n - 3*n + 5*a + 28, 5*n = -a + 16. Let t be 0\/(2 + -3 - -2). Solve -n*m = -t*m + j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 254.609?\nAnswer: 254.609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36490491?\nAnswer: 3, 4054499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 108.2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*k, -y + 5*y = 2*k + 10. Suppose 0 = 2*q + y*d + 8, 2*d = 5*d + 9. Let s = 23 - 17. What is the lowest common multiple of s and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194 + 180. Is 34 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 13*u**2 - 7*u**2 - 9*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -156 and -156 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 11*p**2 - 34*p + 90. Determine x(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1471 - -852. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t - 2*t)*(-4*t + 41285 - 41286 - 10*t).\nAnswer: -28*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -495, -3684, -6887, -10110, -13359, -16640?\n\"Answer: -v**3 - v**2 - 3179*v + 2686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37661403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 + 0 - 50*v**2 + 21*v + 0 - 14*v wrt v?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43002 + 43007. Solve 141 = -q*g + 111 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -940 - -0.05?\nAnswer: -939.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-57))\/((-23)\/(1794\/637))?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1, -4, 3, 58.\nAnswer: -4, -3, 1, 3, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1205638 + 0.037128.\nAnswer: 1205638.037128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249379.\nAnswer: 13, 19183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b + 2. Let x(v) = 4 + 1 + 2 - 6. Let i(l) = -j(l) + 3*x(l). Let w(f) = f**2. Calculate w(i(h)).\nAnswer: 25*h**2 + 10*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqsqqgtpqqp. Give prob of sequence spgq.\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 111214?\nAnswer: 111204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and (-1891)\/(-62) - ((-2)\/2)\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581*c + 354*c - 331*c.\nAnswer: 604*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1854439 to the nearest integer?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9676683, 9676658, 9676607, 9676518, 9676379, 9676178, 9675903?\n\"Answer: -2*q**3 - q**2 - 8*q + 9676694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1104 and 165768544?\nAnswer: 497305632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 11:05 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*m**3 + 127*m**3 + 125*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1526 - 1525.6. Let p = 7 + -12. What is the third biggest value in -4, -3\/4, i, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/(66\/54). Suppose 0*y - 5 = 5*y. Which is bigger: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38082 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262393 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Find the first derivative of -x - h - 2*x + 0 - x wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 5 - c + 6*c. Determine y(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 - 5*j**2 - 3*j - 4. Let d be i(-2). Let o be (-16)\/(-24)*d + 3. Factor o*x**4 + 40\/3 - 5\/3*x**3 + 20\/3*x - 10*x**2.\nAnswer: 5*(x - 2)**2*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.15 + -9.15. Let d = -12 - b. What is the second smallest value in d, 1, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.4, 1\/6, -672, 0.7, -8.\nAnswer: -672, -8, -1\/6, 1\/6, 0.4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -230550928\/126071 + 132\/11461. Let s = 1830 + d. What is j in 0 - 4\/11*j + s*j**2 = 0?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 1 - 5. What is the third derivative of 9*t + z*t**5 + 2*t**2 - 9*t wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4820*d**3 + 14*d**2 + 24 + 16*d + 4825*d**3 - 9644*d**3. Determine r(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 103627, -0.4, -3 in descending order.\nAnswer: 103627, 0.2, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -26. What is the third derivative of 19*d**4 - 20*d**4 - 4*d**2 - c*d**2 wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*n + 438*n**4 + 70*n - 22*n - 25*n + 792 with respect to n.\nAnswer: 1752*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 29*y**2 - 60*y. Let j be u(0). Let b(v) be the first derivative of 5\/3*v**3 + 43*v + j*v**2 + 43. Differentiate b(g) with respect to g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-35)\/21)\/(-2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1221882821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 5*k - 1. Let o be v(4). Put -4, 1\/4, o in decreasing order.\nAnswer: 1\/4, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 464\/11 - 42. Suppose 4*l - l - 5 = p, -5*p = -4*l + 14. What is the closest to t in -1\/4, 2\/5, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + 3 - 3 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00598494 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/(3\/(1*-54)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0173 * 228499\nAnswer: 3953.0327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t - 4. What is a(11)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 4:32 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(300)*-3)**2 + sqrt(9)\/(6*sqrt(147)).\nAnswer: 7561*sqrt(3)\/42 + 2709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/188, 0.1 in descending order.\nAnswer: 0.1, 3\/188, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = 0, -2*n + 167*z + 16 = 163*z. Which is the third smallest value? (a) -3 (b) 4\/205 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 - 121 + 229 = -3*h. Solve -37 = -z - 4*z + 4*n, 4*n = -h*z + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.22, -1\/409, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) + 6\/10. Let s(r) = -5*r**2 + 3*r**2 - 20*r**3 - 25*r**3 + 73*r**3 - 1 + 2*r. Does 7 divide s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)*v\/v**3*(v\/v**8)\/(v*v**5*v) assuming v is positive.\nAnswer: v**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4.6521*-27\nAnswer: -125.6067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 w when three letters picked without replacement from {q: 2, w: 1, d: 1, j: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011001 - 101?\nAnswer: 11010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4*462895.\nAnswer: -648053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p - 2*p - 3*p**2 + 0*p + 14*p**2 to j*p + d + g*p**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24\/180*3\/(-2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 + 47*a - 61. Determine f(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 52*r**2 + 88*r.\nAnswer: 4*r*(r + 2)*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 1. Let z(q) = -5*q - 4. Let d(v) be the first derivative of v**3\/3 + 4*v**2 - 6*v + 3. Let x be d(-8). Calculate x*k(p) + z(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gddddrgggigdmddggdg. Give prob of picking 1 m and 1 i.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30 - (-1 + 2))\/((-25)\/425). Suppose -164 = 11*q - r. Let g be ((-1)\/(-3))\/(11\/q). Solve -4*z + 2*z - 6 = 0, -w + z = g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-2)\/((-92)\/(-42)) - -1. Let y = -41\/207 + w. Which is the nearest to 1? (a) -1 (b) -1.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.39 and -12.5.\nAnswer: -12.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 90035.67 minus -212575?\nAnswer: 302610.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1335*k + 952*k - 3640 = -643*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 241489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -4423 and -48638\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1653525 (base 8) to base 9\nAnswer: -812855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*w + 1, -2*g + w - 4 = -4*w. Suppose 24*n + 3*q = 21*n + 12, g*n = 3*q + 12. Solve 4 = 2*z + 3*p - 3, -5*p + 19 = -n*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1\/4 (c) 2.1 (d) -178\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/2485 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.41 minus -451730.867?\nAnswer: 451733.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*m + b, 0*m - 3*m + 8 = 4*b. Suppose 28808 = 5*f + 4*w, m = 4*f - 3*w - 1709 - 21325. List the prime factors of (-2 - (-20)\/11) + f\/99.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(242)*2 + sqrt(242) + sqrt(242)) + sqrt(242) + sqrt(242) + 3 + (sqrt(242) - (sqrt(242) + 0 + sqrt(242))) + -3 + -3)**2.\nAnswer: -1122*sqrt(2) + 69947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b926 (base 15) to base 12\nAnswer: 1a816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52594157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.39 * 1019.\nAnswer: -397.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-30)*-4*(-33432)\/(-3980).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 1860 = c + 217352. List the prime factors of c.\nAnswer: 2, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 146\/(-73)*(189\/(-6))\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*m - m**3 + 2 + 3*m**4 + m**2 - 4*m**4 + 91*m in the form g + n*m**4 + x*m + t*m**3 + a*m**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2756040.\nAnswer: 2, 3, 5, 7, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 426960042\/(-36) - 42\/(-36). What is d rounded to the nearest one hundred thousand?\nAnswer: -11900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - 1*sqrt(336) - sqrt(21))\/(-5*sqrt(112)) - ((sqrt(3) - (sqrt(3) + 0)) + -2 + ((1 + sqrt(3))**2 - sqrt(3)) + -5 + 1).\nAnswer: -4*sqrt(3)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvgv when four letters picked without replacement from gvvggggg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:28 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -7*p + 27. Let t(s) = -2*s + 4. Let d(v) = -3*v + 6. Let u(j) = 5*d(j) - 8*t(j). Determine u(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 4. Suppose 18 + 14 = 4*q. Let p be m(q). Suppose -8 = -d + p. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 219.7 times -72\nAnswer: -15818.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a**2 - 30*a + 6. Let t(o) = -o**3 + 13*o**2 + 61*o - 10. Calculate 3*t(k) + 5*y(k).\nAnswer: -3*k**3 - k**2 + 33*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*g = 452, 886 = 4*d - 10*g + 11*g. List the prime factors of d.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 2*k - 2. Let g be w(2). What is the tens digit of g + (-1)\/2*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 + 0*f**4 + 0*f**4 + (1 - 1 + 2)*(0*f**3 + 0*f**3 - f**3)*(-152 + 152 - 14*f)*(3 - 4 + 0).\nAnswer: -30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -28 + -129 + 139 - 298\/(-16)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*r - 237 - 218 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 108*x - 12 - 9 + 5 + 1 wrt x?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 139 + -53. Suppose i*x = 84*x + 5*m + 1926, -4*x = 4*m - 3824. What are the prime factors of x?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204)\/(-238)*1078\/(-22).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from vsssvxsx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4014885, -16059544, -36133981, -64238196?\n\"Answer: -4014889*i**2 + 8*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/154)\/(1440\/(-3960)))\/((-135)\/(-21))\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 13*k**7\/210 + k**4\/3 + 12*k**2. What is the second derivative of s(d) wrt d?\nAnswer: 156*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -27*m + 5. Let s be ((-12)\/20*-2)\/(18\/45). Let l(x) = 9*x - 2. Give s*k(y) + 8*l(y).\nAnswer: -9*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 21. Suppose -p + 44 = -z. What is the remainder when p is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 1 + 1\/(-2))*529\/(605705\/3206).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - v + 35 = 0, 17*v - 12*v = -4*d + 15. What is the remainder when 171 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 520 + -809. Let o = 288.9751 + a. What is o rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h - b + 21, 4*h = 4*b + 44. Suppose -3*y + 1 + h = 0. Solve 5*q - y*q = 4*s - 30, -3*q + 5*s = 40 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (-7 - -26) - -100.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/27382260 and -131\/1968?\nAnswer: 109529040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 equal to 299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - -3.9. What is the nearest to 1\/2 in i, -2\/17, -1\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*13\/104)\/((-1230)\/(-5043)).\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/7*1*42. What is the greatest common divisor of 84 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*q - 2955 = 293 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 9*p**8\/28 - 17*p**4\/4 - 13*p + 49. Let d(r) be the first derivative of a(r). What is the third derivative of d(g) wrt g?\nAnswer: 2160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.313432 microseconds?\nAnswer: 0.000000313432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7540.2191 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8882 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u - 6. Suppose -10 = 3*w - 8*w. What is the remainder when u is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41661, 41659, 41657, 41655?\nAnswer: 41653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5*a - 25, 57 - 50 = 2*z - 5*a. Suppose -2*j + 0 = -12. What is the lowest common multiple of j and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 45 = -7*z + 2*z, 0 = -5*a + 2*z + 48. Suppose -a*n = -103 - 7437. Is 37 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445809541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**2 - 31903*k + 20486 wrt k.\nAnswer: -2*k - 31903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10474 - -6367. Is c a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.803813 kilograms to nanograms.\nAnswer: 5803813000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 7829402?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4450357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1216) - (-5 + -1*sqrt(19)))**2 + 6*(sqrt(304) + 0).\nAnswer: 78*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 688 and -0.4.\nAnswer: -275.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -7*h**6\/6 - 7*h**3\/3 - 11. Find the third derivative of f(a) wrt a.\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**3 + 737*o**2 + 2171*o wrt o.\nAnswer: 12*o + 1474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 73840 = 41*k. Let g = -7425\/4 - k. Find the common denominator of ((-13)\/3)\/(28\/(-18)) and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 9. Suppose a*n = 2*n + 2. Suppose -5 + n = -w. Solve -w*m = s + 3 - 15, -5*s = -4*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 46.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53717069 to the power of 1\/2, to the nearest integer?\nAnswer: 7329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4))**(8\/11)*(x*(x**9*x)\/x)\/x**(-11))**48 assuming x is positive.\nAnswer: x**(9552\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - t - 253 = 0, 11*d - 2*t = 10*d + 58. Calculate the remainder when 140 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -403 (b) -2\/7 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*y - 150, -4*y + o = -6*y - 152. Which is the biggest value? (a) -5\/21 (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 38 + 1318 + -1262?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1017\/(-27) + 385\/231.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38454 is divided by 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 3*x - 5*v, 0*v + 4*v = -5*x - 9. Let r be (0 - -3) + (-25)\/x. What are the prime factors of 1\/r - 2151\/(-72)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 531?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25982 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*((n\/n**4*n)\/n)\/n*n*n*n**(-1)*(n**(1\/2)\/n*n*n)\/(n*n**(-4\/5)\/n) assuming n is positive.\nAnswer: n**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 0.769 in increasing order.\nAnswer: -1, 0.769, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 75.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.315487409 to 3 decimal places.\nAnswer: -0.315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (7 + -8 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/25))\/(x\/((x*x\/x**(1\/2))\/x)*x)*x**(-13\/3)*(x**15\/x)\/x*x)**(-32\/5) assuming x is positive.\nAnswer: x**(-21808\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20165 is divided by 360.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13287*l + 418*l = 945645 for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 0*h**2 - 6*h**2 - 31*h**2)*(-5 + 2 + 2) as o + n*h**2 + p*h and give n.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100 (base 2) to base 13.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/4158 and -58\/63.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23135 - 23137. Let c = 31.8 - 19. Put 1\/2, -1, b, c in increasing order.\nAnswer: b, -1, 1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9127 divided by 20.\nAnswer: 9127\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*w - 83, -3*w + 2*j - 46 = 3. Let r be (-12)\/w*4\/8. What is the third smallest value in r, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - -0.44. Let g = -28 - -33. Put g, 2, o in increasing order.\nAnswer: o, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/15 and 52\/8215?\nAnswer: 24645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802385 is divided by 66837.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 1 + 1)*(-a**2 + a**2 - a**3) + 0 + 16*a**4 - 11*a**4 - 1.\nAnswer: a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/(-154))\/((-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 7, x: 1, r: 1}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 10 = 15*h - 0*c + c, -2*c = -0*c + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -8.9. Let k = 41 - 30. Let q = 20 + k. Which is smaller: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125808 is divided by 1165?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -r + 1, g + 11 = -5*r + 6*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 4. Let l(n) = -3 + 1 - 4*n - 2. Let y(p) = -3*k(p) + 2*l(p). Suppose 0 = 2*t - 14*t + 36. Give y(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -417\/769 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 5 - 1\/2*o**3 + 9\/4*o**2 - 3*o. Factor j(d).\nAnswer: -3*(d - 2)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 368478368 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i - 56 = 122*i - 59*i + 2*w, -16*w = -4*i + 56 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 220.9 + -221. What is the closest to a in 2, 0.5, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -17, -1, 0 in decreasing order.\nAnswer: 0, -1, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 3. Let k be w(-3). Suppose k = 3*s - 6, -s + 6 - 2 = -j. Let p(a) = -a**2 - a + 1. Let m be p(-2). Which is greater: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23785 + 8788. Which is smaller: -14998 or d?\nAnswer: -14998","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-10) - 41629\/(-630). Suppose 2*v - 133 + 1 = 0. Let x = v - f. What is the closest to -1 in x, 1\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 2*j**2 + 3*j - 2. Let q be b(2). Let z be ((-6)\/(-9))\/((-4)\/(-144)). Let s be 11\/2 - q\/z. What is the highest common divisor of s and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 58. What is the second smallest value in -1, f, -0.5, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.457192+2\nAnswer: 1.542808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-1)\/3*-3. Let i = 33 - 41. Let r be (6\/8)\/(12\/i). What is the closest to -2\/7 in -2, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77 - 6*d + 29*d**4 + 77 wrt d.\nAnswer: 348*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26714*z**6 - 2*z**2 + 5*z - 46.\nAnswer: -3205680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Let x = p - 0.4. Let r = -581\/5 - -117. Which is the second biggest value? (a) x (b) 2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkjjkhhhhkhjjh. What is prob of picking 3 k and 1 h?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, c: 1, w: 3, d: 1, h: 3, k: 3}. What is prob of picking 2 h, 1 b, and 1 d?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -187*k**3 + 4*k**2 - 14*k - 11. Is m(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/78 and 53\/26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 77 - (5354 + -5387)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 4, 8, 12, 16, 20?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r - 44*r = -20*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 13*y**7\/42 + y**4 - 14*y. Find the third derivative of b(a) wrt a.\nAnswer: 780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 472*i**2 - 471*i**2 - 2 + 8 - 6*i. Determine m(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/3 - 193*u**2\/3 - 8971*u + 65835 = 0.\nAnswer: -99, 7, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4 + (-7)\/10)\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 728?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 116*c**2 + 4*c + 1. Is r(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 688 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 15 = 3. Suppose -y*h - 6 = -q, 3*q + 16 - 47 = -h. Calculate the remainder when 28 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 3*n**2 + 4*n + 1. Let a be p(-4). Suppose h + a = -0*h, y - h - 9 = 0. Suppose -38 = -2*g - y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 77001152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1226*l**3 + 2*l**2 - 11*l - 12. What are the prime factors of f(-1)?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/3470192 and -71\/44.\nAnswer: 3470192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**2. Let p(q) be the second derivative of -q**5\/60 - 3*q**2 + 2*q. Let f(d) be the first derivative of p(d). Calculate f(m(g)).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 15*x + 2. Suppose -9*j - 9*j = -15*j - 135. Let t(v) = 330*v + 45. Determine j*b(l) - 2*t(l).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - 8)\/(2 + -1). Suppose q = -x + y + 22, 3*x + 3*y - y - 86 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1420 = 12*u - 16*u. Suppose 3*f = 2*k - u, -2*f - f + 349 = 2*k. Let g(x) = -3*x - 2. Let l be g(-6). What is the greatest common divisor of l and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 2\/43, 22, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 98*f**5\/5 - f**4\/2 - 2527*f**3\/3 - 2071. What is the third derivative of g(z) wrt z?\nAnswer: 2352*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k - 128. Let d be c(22). Let m(p) = 5123*p + 81. Is m(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -51*w**2 + 75*w - 516. Give r(5).\nAnswer: -1416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + t**2 + 9. Let l be q(0). Let r be (3\/(-9))\/(1\/l). Calculate the remainder when 86 is divided by r\/(-6) - (-172)\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664 is divided by 137.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5\/3 + 5492*l**4\/3 - 44066*l**3\/3 - 5492*l**2\/3 + 14688*l = 0.\nAnswer: -2754, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 330 - 338 = 2*b, 2*b - 5*n = -16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 453*p - 455*p - 2*p**3 - 2*p**3 + 3 as b*p + v + s*p**2 + f*p**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-9))\/((-400)\/450).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2049122 and 1810852.\nAnswer: 77866636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 14*g - 209. Calculate the greatest common divisor of g and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1994 - 1.19. Let z = -0.01 + o. What is z rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*r - 4, 3*r + 4 = -4*d + 19. Let i = -16 - -41. Suppose x = 6*x - i. Sort -1, d, x in descending order.\nAnswer: x, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -13*o**3 - 11*o**2 - 2*o + 119. Is 19 a factor of g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 - 119\/(-140). Let g = -17\/2 + 9. Do a and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 1. Suppose 5*o = 4*b - 12 - 0, 0 = 3*o. Suppose 5*c + b*l + 6 = -0, -4*l = -2*c - 18. Let m(h) = 5*h + 4. What is c*y(a) - m(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 20. Let y be d(4). Let s(f) be the second derivative of 0*f**3 + 0*f**2 - 3*f + 0 - 1\/6*f**y. Let z(h) = 2*h**2. Determine s(z(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - u - 4165, -17 = -4*u - 5. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 47*x**5\/20 - x**4\/24 - 32*x**3 - 6*x**2 + 5*x. What is the derivative of f(k) wrt k?\nAnswer: 282*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*v + 118*v = 129*v + 5832 for v.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 855 and 7220475.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-1) - -3) + -38. What is the tens digit of 1*(0 - 2 - a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 10) + 27 - 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2875200*j**2 - 20975*j**2 - 484034*j**2.\nAnswer: -3380209*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 113*b**2 - 1729*b + 6223.\nAnswer: (b - 7)**2*(b + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10 - -1) + -12 - -2) + 10 + -74 + 5?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1040706*m**3 - 2081404*m**3 + 1040701*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 2*g**2 - 4*g + (3*g - 4*g + 2*g)*(-2*g + 1 - 1) + g**2 + 1 - 1 - g**2 + 0 + 0 + (5 - 6 + 3)*(-2*g**2 + 4*g**2 + g**2) - 9*g**2 + 8 - 10 + 1.\nAnswer: -7*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/((-70)\/22635) - -9.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -26, 5 in decreasing order.\nAnswer: 23, 5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1291 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054186475 rounded to 4 decimal places?\nAnswer: 0.0542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wewwerrxwk. What is prob of picking 1 x and 1 w?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**3 + 2*r**3 + 2*r**2 + 2*r**2.\nAnswer: -12*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243*i**4*y - 2*i**3 - 1004*i*y + 1 wrt i.\nAnswer: -2916*i**2*y - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 2*t**2 - 5*t + 3. Let x be l(3). Let z be (-4)\/3*x\/14. Let v be (((-15)\/(-6))\/5)\/((-3)\/(-18)). Solve -2 = z*g + 2*o - 6, -v*o + 12 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*m + 24, -2*m + 4*j = -4*m + 10. What is the lowest common multiple of m and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -1296*s**7\/7 - 788*s**3\/3 + 1044. What is the third derivative of k(q) wrt q?\nAnswer: -155520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -3 + 4 + 3. Solve -b - 4*q = m*b, -2*b + 3 = 5*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m**2 - 33*m - 134. Is 115 a factor of h(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q**(-21)\/q)\/q))**(-23) assuming q is positive.\nAnswer: q**(-529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 3*t + 5, -17*t + 12 = -4*h - 13*t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 421 - 415. Let f(s) = 3*s - 8. Let h(u) be the second derivative of -5*u**3\/6 + 15*u**2\/2 - 2*u. Let w(c) = 7*f(c) + 4*h(c). Give w(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - s**2 + s - 4. Let c be l(2). Let h = -26 + 26.2. What is the closest to -1 in h, -6, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 283 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 408497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 c when three letters picked without replacement from {c: 5, y: 3, x: 4}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2))**(-2\/9)\/((l\/(l*l**(-1)))\/l)**(-2\/35))**(-2) assuming l is positive.\nAnswer: l**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -v - 29, -1114*z + 41 = 2*v - 1119*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 795249, 795345, 795441?\n\"Answer: 96*o + 795153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/234 and -5\/429.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13262 is divided by 1705?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*r - 145*r - 166*r)*(-18 - r + 18).\nAnswer: 194*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 119344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/12)\/(5\/4). Let n(q) = q**3 + q + 3. Let l be n(0). Suppose l*x = x. What is the closest to x in j, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9579883184 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 128 = 4. Suppose 5*v + j + 79 = 0. Round v to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - h - h + 45, 0 = 5*h. Let t be -1 - 5 - -14 - 0. Suppose -t*q + 6 = -5*q + 3*z, -5*z + 13 = 2*q. Put 5, a, q in decreasing order.\nAnswer: a, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Suppose -v*n - 2*m - 3*m = 11, m = 4*n - 16. Let h(g) = -g**2 + 2*g - 4. Calculate h(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 - -548\/7. Let z be (54\/96)\/(-9) + (-510)\/1056. Which is the closest to -2? (a) n (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(-37)*((22\/(-8))\/11)\/(1\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = 3*x, -2*i - 4*x - 40 = -14. Let s = -12 - i. Put s, -6, -1, 0 in decreasing order.\nAnswer: 0, -1, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10455 + -6626. List the prime factors of a.\nAnswer: 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -1)*(-45)\/2. Let l be ((-1)\/(-5))\/(36\/p). Let s = 3.85 - -0.15. What is the closest to 1 in s, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -81 and -0.1.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -637\/7942?\nAnswer: -637\/7942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2744226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177633, -177641, -177649, -177657, -177665?\nAnswer: -177673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -361.59 rounded to 0 dps?\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 13 = 5. Suppose -n + 10 = 4*n, f*i - 3*n = 26. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 3:09 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 3. Let m(d) = -d + 2. Let o(c) = 3*m(c) + 2*y(c). Let f be o(2). Find the third derivative of 0*h**2 + 0*h**f - h**2 + h**6 wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*j + 7 - 1 + 2*j**2 - 13 + 9 + 13 to h*j**2 + t + p*j and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 69*c**5\/10 - 123*c**2\/2 + 151*c. Find the first derivative of j(z) wrt z.\nAnswer: 414*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 5*p + 4. Let b be (14\/(-4))\/(10\/(-20)). Suppose 4*c - b*c + 15 = 0. Let f be j(c). Calculate the greatest common divisor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 80068?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001795 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -187478, 3, -4 in descending order.\nAnswer: 3, -4, -187478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7448310?\nAnswer: 2, 3, 5, 82759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 + 246*n**2 + 422*n + 21720. What is w(-122)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53397713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*m - 8 = 0, -2*p - 10 = -6*p + 2*m. Let l be 4*(3\/2)\/3. Let k(y) = 2 + 2*y**l - 5*y + y + 0 + 2. What is k(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 5*a**2 + 7*a - 3. Let v be t(6). Calculate the highest common factor of 2 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + -38b55?\nAnswer: -38b3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*r + 4*j = 59*r + 4, -4*r - 15 = -j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/1 - -8)*((-1131)\/(-52) - 10)*-1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6845 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*v + 35, 0*v + 3*v + 5*u - 24 = 0. Let h = -10 + v. Solve 0 = 5*m - 4*n + 16, h*m + n = -m + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-5))\/((-1133)\/(-3399)*-1*2\/(-10))\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6*2)\/(14\/(-49)). Let b be (59\/2 - -2)*j. Let n = b - 2677. Round n to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**3 + 2*f**3 + 3*f**3)*(-717*f + 717*f - 970*f**2).\nAnswer: -970*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 607872 to the power of 1\/2, to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*a - 4*c, 0*a = -4*a - 2*c + 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**3\/3 + 38876*l**2\/3 + 1207936*l\/3 - 991232\/3 = 0. Calculate l.\nAnswer: -7744, -32, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - g - 1. Let u(l) = l**2 + 4. Let t be u(0). Let a be y(t). Suppose -a - 1 = -4*v. Solve v*p = c + 8, 3*c - 8*c = 5*p + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 2. Let f(x) = -5*x + 19. Calculate -2*f(q) + 18*v(q).\nAnswer: 46*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-1 - 29) + (-4 - (2 + -9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3\/7 - 8680053*p**2\/7 - 896943666696*p + 896944906704 = 0. What is p?\nAnswer: -1446676, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -5*m. Suppose 45 = 5*v - 5*q, -5*v = m*q + 3*q + 5. Suppose 2*f = -v + 74. 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 the remainder when 126867 is divided by 80?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 47*a**3 + 9*a**2 + 2*a - 2. Let i(w) = w**3 + w**2 - w + 1. Let h(u) = -f(u) - 2*i(u). What is the third derivative of h(x) wrt x?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37981\/20856 + -21\/632. Find the common denominator of -13\/1695 and y.\nAnswer: 18645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = y - 2*m, -5*y + 0*m - 3*m = 10. Let t be ((-42)\/15)\/(y\/5). Let d be (t\/5 - -1)*-5. Solve 4*k = -2*f - 6, 0*k + 2*k = 3*f + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 15 = 0, 2*p - 5*y + 18747 - 7248 = 0. Let i = p + 10856. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100111 + -110011110100110?\nAnswer: -110100011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + (1 - 3))\/1 - 1. Suppose -4*k + 2*k + s = 0. Suppose 3*x = 15, -7*o + 5*x = -k*o + 15. Solve u + o*g = -u, -4*u - 6 = 2*g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 752 and 34 - (-12)\/(-4) - (-7 + (11 - 5)).\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31.3 - -31. Put c, -2, -5, -3\/2 in increasing order.\nAnswer: -5, -2, -3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118391\/48659889 + -8\/6663. Find the common denominator of p and 109\/6.\nAnswer: 43818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + (sqrt(2057)*-1 - sqrt(2057)))**2 + (1*sqrt(153) - (sqrt(833) + -3*sqrt(833) + sqrt(833))**2).\nAnswer: -129*sqrt(17) + 7400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 6*l - 4. Let n be t(-7). Solve -i - n = r, -2*i + 4 = r + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8681 or -6127?\nAnswer: -6127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or 18?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**5 - 3708*g**4 + 7432*g**3 - 8*g**2 - 7428*g + 3716 = 0. Calculate g.\nAnswer: -929, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x - 124 = -4*x + 36*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/11 + 15\/11. Let v = -0.5 - -0.1. What is the biggest value in v, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21cb - 763?\nAnswer: 1968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -17.7. Let p = -2841 + 2732.94. Let q = p - -108. Which is smaller: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 3605 in increasing order.\nAnswer: -3, 4, 3605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -17, -3 in ascending order.\nAnswer: -17, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 8 - (1 + 2). Do a and 1\/20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6978, -2 in ascending order.\nAnswer: -6978, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9955 + -5352. Let q = j - 36727\/8. What is the common denominator of q and 53\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194623602 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10842*x*y**5 + 133*x*y**2 + 328*x*y - x - 105 wrt y?\nAnswer: 216840*x*y**3 + 266*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 times -11?\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bby when three letters picked without replacement from bkkvyyybyb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a week in minutes?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120 - 120 + 48*n**2)*(3 - 3 - 2*n**2)*(-38*n - 51 + 51).\nAnswer: 3648*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120179018*z - 69712306 wrt z.\nAnswer: -120179018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k - 8*k = 709390. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1512195 divided by -1095?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pceprcucppcpepc. Give prob of picking 3 c and 1 u.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**6\/3 + 25*k**4 + 59*k**2\/2 - 702. What is the second derivative of j(u) wrt u?\nAnswer: 40*u**3 + 600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0163630692 and -4?\nAnswer: 3.9836369308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + (sqrt(1900) + sqrt(1900)*-1*5 + sqrt(1900) + sqrt(1900)*-1 + 2)**2 - (3 + 0 + sqrt(1900) + sqrt(1900) + sqrt(1900)*-1*-6 + -4)**2).\nAnswer: -91200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - 0.38. Let a = r + 0.5. Let x = -1 + -1. What is the third biggest value in a, -1\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12938152562 minus 11?\nAnswer: -12938152573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62*f**2\/3 - 190*f\/3 + 4.\nAnswer: 2*(f - 3)*(31*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 16257 = -47121. Suppose 21*b - 28*b = -z. What are the prime factors of b?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 53*y**2 - 2*y + 4. Let h be u(-3). Suppose -5*g + h = 3*x, -5*x + 443 = 4*g + 43. Let d = g + -66. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l = 50*l + 882. Let d(y) = -y**2 + 6*y - 3. Let b be d(5). Suppose b*p = 4*p - 294. Calculate the highest common divisor of l and p.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = 17*n - 592. Let k(v) = -v**3 + 8*v**2 - 2*v + 10. Calculate k(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 5. Let s(q) = 17*q + 44. Let n be s(-3). Determine t(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7585696 days to milliseconds.\nAnswer: 65540413.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -18. Which is the smallest value? (a) m (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*f + 6858 - 908 = 0. Suppose 0 = -4*v + v + 195. What is the remainder when v is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520 take away -119.475405?\nAnswer: 2639.475405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/(-2)*(-110)\/(-33) - 1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 305 = 5*j - y, -j = -y - 52. What is the common denominator of -113\/28 and j\/(-190)*155\/(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 226*n**3 + 7*n**2 - 17*n - 34. Let z be l(3). What is the highest common divisor of z and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 11:45 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4226 - -4227. What is the nearest to g in 4\/31, 4, -0.4?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 32 = 5*v + 24. What is the closest to -0.1 in v, 0.4, -2, -247?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -3. Let u = n + -22. Let f be (35\/(-21))\/(1\/u). What is f rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 27*y + 4. Let w be q(-3). Let a = w + 155. Suppose 2*m - 30 - 2 = 0. Calculate the remainder when a is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 1. Suppose -4 = -2*g - 2. Suppose -4*u = g - 5. Suppose u = z + 3. Let f(r) = 1. Give z*s(h) + f(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:43 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98256 and 174084.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -165 + 2*w**2 + 316 + 8*w - 172. Give q(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1114 and 11?\nAnswer: 12254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6489 - -6525. Solve -s = 106*l - 112*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.04, 0, 1.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8124 * 8897.\nAnswer: -72279228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/41? (a) 0.5 (b) -2\/3 (c) 0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2*p - 66, -5*q + 2*q + 123 = 5*p. Calculate the highest common factor of 24 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7. Let o = 4 - i. What is the second smallest value in -2\/3, -4, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 12 = 158. Let o = 16 + l. Let t = -9 - o. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven halves of a hour?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10500 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1088307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x. Let y(q) be the second derivative of -q**6\/90 - 5*q**3\/6 - 4*q. Let u(c) be the second derivative of y(c). Calculate u(s(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -226984.7955 rounded to the nearest 1000?\nAnswer: -227000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721901.\nAnswer: 23, 31387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/((v*v\/(v*v**(-1\/4))*v)\/v))*v**4\/v*v**(-4)*v*(v*(v\/(v\/(v**(-6\/7)*v)))\/v)\/v assuming v is positive.\nAnswer: v**(11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.0523 (c) 65 (d) -189\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163340 - -88820. What is h rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3274 - 3278. Let q = 21.1 + -21. Sort 1, q, p, 3 in increasing order.\nAnswer: p, q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**12\/o**10)\/(o**8\/o**(-4)))**(11\/2) assuming o is positive.\nAnswer: o**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(4 - 90\/23) + 122380\/266915.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13874403*p**5 - 20842885*p**2 wrt p.\nAnswer: -832464180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 48*r - 47*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/(-4) + 3\/(-12))*((-32760)\/64)\/65.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 10. Let i = p + -17. Let h(o) = -i*o - 1 - o**2 + 13*o - 8*o - o. Calculate h(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 1. Let q(w) = -35*w**2. Determine q(n(m)).\nAnswer: -140*m**4 + 140*m**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u**3 + 30*u**2 - 28*u + 66. Is x(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 367*o - 378*o + 88 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/7*m**3 + 1899\/7*m + 0 - 624\/7*m**2 = 0. What is m?\nAnswer: -211, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(36) - sqrt(13)) + -1*(sqrt(117))**2.\nAnswer: -117 - 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 4. Let w = 6 + l. Put -4\/5, w, 2\/11 in descending order.\nAnswer: w, 2\/11, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17248058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1394 - -0.1.\nAnswer: -1393.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 822704867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 577746893, 577746884, 577746861, 577746818, 577746749, 577746648, 577746509?\nAnswer: 577746326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 74, 119, 214, 377?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*x**2 + 96*x - 96*x.\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 2:56 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*j + 4. Solve 2*y + j = -5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-900))\/((-63)\/(-3780))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - 3888?\nAnswer: -3875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 20*k - 84 = 0, 6787*a - 6793*a - 84 = 5*k for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*u - u. Let w(y) = 4*y + 8*y + 1207*y**3 - 20 + 3*y**2 - 14*y**2. Let l be w(u). Round l to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (99 - 119) + 32 + (9 - 12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a + a**5 - 2*a + 2*a**5 + 0*a**3 + 0*a**3 + (4 - 4 - 2)*(-3*a**5 + 5*a**5 + a**5).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -53234.\nAnswer: 4\/26617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 6. Suppose 3*d**3 - 5*d**3 - 4*d + 2*d**i + 6*d**3 - 2*d**4 = 0. What is d?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 265774*i**3 + 265680*i**3 + 0*i**2 - 531464*i**3.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 2. Let a(h) = 3*h - h - 5 + 3 + 0*h. Give -3*a(s) + 4*k(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -33. What is the remainder when 82 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/1224)\/((-15)\/30).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(9) + -2*sqrt(9)) + (sqrt(42)\/sqrt(2))\/sqrt(3) - sqrt(49)\/(sqrt(1008)*-6)) + 4.\nAnswer: sqrt(7)\/72 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -185 - -184.586. Let o = l - -0.4099. Round o to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**3 + 3*n**2 + 2. Let z(h) = 5*h**3 + 4*h**2 + 1. What is 4*a(v) - 3*z(v)?\nAnswer: v**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 817, 1875, 3371, 5305, 7677?\nAnswer: 10487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(4\/7)*w)\/w**(6\/7) assuming w is positive.\nAnswer: w**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 330, 2, -168 in descending order.\nAnswer: 330, 5, 2, -2, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 759 = 663. Let d(f) = 2*f**3 - 97*f**2 + 55*f - 43. Is d(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -7*m**8\/120 + m**7\/20 + 2*m**6\/15 + m**5\/15 + m**3\/6 + 2*m. Let g(w) be the second derivative of o(w). Factor g(d).\nAnswer: -2*d*(d - 1)*(7*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 317*s**2 + 828*s + 7484. Determine m(-156).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:40 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - u - 3)*(-1376*u**2 + 1704*u**2 - 3141*u**2).\nAnswer: 2813*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.2 times -1?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -2405.\nAnswer: 10\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/(1\/24). Let q = 12 - l. Let u(k) = -k**2 + 4*k + 4. Let v(i) = i**2 - i - 1. What is q*v(r) + u(r)?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.32 - -0.32. Which is the third biggest value? (a) -6 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/19)*l)\/l)**19*l**(-2\/59)\/l**(-34) assuming l is positive.\nAnswer: l**(3184\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/33)\/(3\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339084*c**3 + 270035*c**3 + 31012*c**3 - 61734*c**3.\nAnswer: 578397*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/((-228)\/8)*18\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210144.31 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-21\/5)\/c)\/c)\/(c\/(c**43\/c)))\/((c\/c**(17\/2))\/c)**(2\/7) assuming c is positive.\nAnswer: c**(1303\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -389*135.54\nAnswer: -52725.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6724201990?\nAnswer: 2, 5, 11, 97, 630197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 5*r + 3*r)*(0*r**3 + 2*r**3 - 3*r**3 + (-4*r + 2*r - 7*r)*(-r**2 + 4*r**2 + 0*r**2)).\nAnswer: 56*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*l - 4*l + 5767, -3*l - 4595 = -4*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, u: 3}. Give prob of sequence ufu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.8 - -5. What is the closest to s in 2\/9, -5, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 17) + (-71 - -80)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38104810 and 3810481?\nAnswer: 38104810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 3645964 and -11824.\nAnswer: 3634140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, r: 13}. What is prob of picking 2 r and 2 n?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u. Let v be a(4). Let w(x) = -8*x - 24. Let l be w(-4). Is 13 a factor of (-6)\/l - (310\/v - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9397.245um to meters.\nAnswer: 0.009397245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12243824 is divided by 235458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 674.76 - -9.24. Let d = k - 380. Let a = 301.91 - d. Round a to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -243*w**2 - 6193 + 75*w**2 - 298*w**2 + 6193 to t + p*w**2 + g*w and give p.\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = n + n. What is the common denominator of (-2)\/4*274\/(-12) and n\/(-2) - (-1)\/5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 2 + 4 + -2. What is the remainder when 12\/q*84\/9 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -17 - (6 + -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -4. Suppose -2*s + 118 = -3*y, -177 = -0*s - 3*s + 2*y. Let p = s + -54. Calculate the smallest common multiple of p and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 98. Suppose q*m = 63*m + 4. Is 24 a factor of (m\/(-5))\/(4317\/(-540) + 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**3 - 224 + 6*p**4 - p**3 - 7*p**4 + 2*p + 257 to the form z*p**2 + j + q*p**4 + l*p + n*p**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -x + 2*x - 1, x - 13 = -z. Let l(y) = 2*y**2 - 22*y + 2. Let f be l(x). Which is the second smallest value? (a) 0.1 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.14839l in millilitres?\nAnswer: 46148.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, and 1 q when three letters picked without replacement from {x: 5, s: 3, q: 1, v: 1, t: 5}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 12. Let q(w) = -w**2 + 8*w - 4. Let i be q(7). Let s(f) = -2*f + 4*f + 0*f + 5 - i*f. Give s(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 13*x - 9 = 0. Let l be (-2)\/6 + (0 - -1). Put l, x, 1 in decreasing order.\nAnswer: 1, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*i**2*o*y + 11*i**2*x**2*y + i*o*y - o*x - 48*x**2*y + x**2 - y wrt i?\nAnswer: 12*o*y + 22*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25\/(-15))\/(2\/486). Let x = 692 + h. Suppose 4*q = -2*k + 162, 5*q + 77 = -5*k + x. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 14691.\nAnswer: -70\/14691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -113*a*t**3 - 6*a*t**2 + 3*a*t - 13564*a + 18445*t**3 - 3 wrt t.\nAnswer: -678*a + 110670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4348753 divided by 4\nAnswer: -4348753\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 112 + 128 = 0. Let d be 26\/r - (-5)\/25. Which is the biggest value? (a) 0.5 (b) -2\/17 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 12:53 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g - 2. Let w(h) = h**2 + h - 1747. Give w(x(d)).\nAnswer: 36*d**2 + 18*d - 1745","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**39*n)\/(n*n\/(n\/n**1)) assuming n is positive.\nAnswer: n**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*-2*1\/(-2). Let u = 2 - y. Let x(k) be the second derivative of -k**4\/4 + k**3\/3 + 25*k. Let n(g) = -g**2 + g. Give u*n(l) + 2*x(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 minus 0.0229590492144?\nAnswer: 0.0870409507856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1676 + 33*t**2 - t + 1676 in the form q + r*t + j*t**2 and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171 + 170. Let i(y) = y + 2. Let g(z) = z + 1. Determine s*i(n) + 3*g(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*o + o. Suppose -5*k = -o - 49. Solve a + 3*a = -k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 268*q = 11832 + 4118 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-2)*r**4 assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2597091.54282 + -26.\nAnswer: -2597117.54282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 4:13 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3143 and 441.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.534001l to millilitres.\nAnswer: 534.001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7 = 5*t - 22, 3*t - 19 = -2*x. Suppose i = 5 - 2. Suppose -2*f + 3*k = -13, 0*k - 2 = -i*f + k. Put x, -5, f in increasing order.\nAnswer: -5, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 1. Let t be a(4). Suppose 16 = 4*k - 4*w, 6 + 0 = -2*w. Suppose 2*j + 9 - k = 0, 3*j = 2*d - 14. Solve -4*y + d = -t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 138*l**2 - l - 2. Let q be h(1). Let a = q + -677\/5. What is the closest to -1 in 1, 1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112988?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1, 0, -5\/2, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 + 2*r**3 - 8*r**2 - 8*r.\nAnswer: 2*r*(r - 2)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.00266 + -177787\nAnswer: -177786.99734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42\/83 - -7103\/1079. Let v = p - 2224\/351. Calculate the common denominator of v and 7\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2749208*a**4*o + 2*a**3*o**2 + 1222*o**2 - 3*o - 31 wrt a.\nAnswer: 10996832*a**3*o + 6*a**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 2*f**2 - 5*f + 8. Let q be d(4). Let v = q + -17. Factor 6 + 8*r - 4*r + 14*r - v*r**2 - 33.\nAnswer: -3*(r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24971.08 milligrams in nanograms?\nAnswer: 24971080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (2 + (6 - 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 0, -4, -5, 137459 in increasing order.\nAnswer: -5, -4, -3, -1, 0, 137459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -46*m + 11*m - 138 + 25*m. Does 7 divide a(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 397\/4*p**2 + 1\/4*p**3 + 9900*p + 9801.\nAnswer: (p + 1)*(p + 198)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (-44)\/(-8)) + 236\/8. Let l be u - (-4)\/(-10)*10. What is the highest common divisor of l and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -149635.32828 to the nearest 100.\nAnswer: -149600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3174845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35895662207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4482 and 15?\nAnswer: 22410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -20, -3, 2, -11, -1 in decreasing order.\nAnswer: 2, -1, -3, -11, -20, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-20)\/(-8))*10\/(-4). Suppose -4*f - 1 = -d - 8, -v*d = -f - 22. What are the prime factors of 1430\/15 - -6 - (-2)\/f?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28764 + -2420. List the prime factors of j.\nAnswer: 2, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 e, 1 z, and 1 c when four letters picked without replacement from xezcxcri?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -176, -349, -522, -695, -868?\n\"Answer: -173*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.85416 and 11.\nAnswer: -20.39576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/2 + 0\/5. Suppose -s*v + 1 = -v. Suppose -g + v = -6. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1019? (a) 3\/4 (b) 4 (c) -0.4 (d) 1\/33 (e) -32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m - 76*m + 10*m + 57*m + 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 688 + -700. Is (-195)\/s + (-135)\/(-180) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2. Let z(l) be the second derivative of 11*l**7\/630 + 3*l**4\/4 + 12*l. Let y(t) be the third derivative of z(t). What is y(k(s))?\nAnswer: 176*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*s - 264*s = -9 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/41 in -316, 29, 0.2, -0.4, -29?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 230413003?\nAnswer: 230413002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -128203.8 - -128204. Let l = -229 - -416. What is the second biggest value in l, p, -2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/5 - 124*b**4 + 120318*b**3\/5 - 6890792*b**2\/5 - 14145023*b\/5 - 7133292\/5 = 0. What is b?\nAnswer: -1, 108, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40530 and 910?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2058 - 2054. Let b(m) = -m**2 - m - 1. Let c(p) be the first derivative of -8\/3*p**3 - 4*p + 3 - 2*p**2. Determine z*b(s) - c(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**4\/12 - 4*f**3\/3 + 4*f. Let b be y(-8). Solve 4*d - 4 - 4 = b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -216*i**4 - 2579*i**3 + i**2 - i - 2631160 wrt i.\nAnswer: -2592*i**2 - 15474*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1855123227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*k + 24, -3*k + 241*q - 248*q + 42 = 0. Let x = -2 - -4. Suppose -3*j + 2 = -1. Sort -2, x, k, j.\nAnswer: -2, k, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-255)\/((-40800)\/3520) - 94\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 20*v + 148241. Is t(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/154 and 47?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 + 2*n - 1. Let w = 1 - 0. Let x be 3\/(-15) - (3751\/(-55))\/11. Let l(v) = -v**2. Give w*b(d) + x*l(d).\nAnswer: -d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 66\/5 + (-13)\/65. Suppose 7 = 4*x - q. Let m = -53 - -59. Solve 14 = x*r - m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 2:11 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 - 5*c**2 + c**2)*(1 - 1 + 5) as n + s*c + p*c**2 and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10962.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 46*p**3 - 612*p**2 - 1890*p - 1323.\nAnswer: -(p + 1)*(p + 3)*(p + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 6\/9)*-9. Suppose k + 12 = o*k. Let m = k + -2. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/60 + a**4\/8 - 4*a**3\/3 + 6*a**2. Let b be p(9). Calculate the highest common factor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 271 = -1154. Suppose -j = -5*i + 3348. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 20 = 7*j. Let a = -20131.05 - -20131. What is the closest to -2\/3 in j, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/2766 + 30889\/5532. Let t = 84767\/48 + -3529\/2. Calculate the common denominator of t and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 29*b**2 - 4*b - 280. Let l(j) = 144*j**2 - 20*j - 1308. Give 3*l(y) - 14*q(y).\nAnswer: 26*y**2 - 4*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 216\/(-6732)*(-1045)\/855\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289 - 289. Round u to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3301.42 rounded to the nearest 10?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -257083 * -41\nAnswer: 10540403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*v**3 - 4)*(315*v**2 + 200*v**2 + 543*v**2).\nAnswer: 2116*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.007 (b) 0.5 (c) 13\/11 (d) 6\/11 (e) -0.03 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(3 + 4 - 5)*(6*i**3 - 6*i**3 + 2 + 6*i**3).\nAnswer: -24*i**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, -1493\/190, 0.89?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -31, -70, -125?\n\"Answer: -8*b**2 + b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 6:02 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -2900 (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from tfyffyyyyyfytfy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-15)*m\/((m**(-1\/13)*m)\/m) assuming m is positive.\nAnswer: m**(-181\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 14 = -6. Let s be (-4 + 3)\/(a\/(-4)). Let o = 59 + s. What is the greatest common divisor of o and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i - 2314 = 0. Let c = -16139\/14 + i. What is the common denominator of ((-26)\/(-2))\/(-8 + 0) and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -11*u**3 - 1031*u**2 - 3508*u + 99680 = 0.\nAnswer: -89, -140\/11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -634 - -634. Let i be (-2)\/3*(5 + -2). Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -234215 + -30?\nAnswer: -234245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3768, 2, 1, 5, 0, 4.\nAnswer: -8, 0, 1, 2, 4, 5, 3768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.2706 in 0.07, 1.62, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 + 22624313?\nAnswer: 22624268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-464)\/(-3))\/((-178)\/(-1068))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w + 8*w + 0*w. Let t be u(2). Let k be (-34)\/(-55) - t\/(-11). Is 1 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 20 = -30. Let i be 6\/l - 49\/35. Let z(v) = v**2 + 4*v + 3. Let r be z(i). Is r greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -1907675.\nAnswer: 6\/1907675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1158*x - 33567. Determine j(29).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*q + 19 = 0, 2*q - 4 = -44*j + 45*j. What is the derivative of -74*b**2 - 66*b**4 - 8 + 65*b**4 - 18*b**j wrt b?\nAnswer: -4*b**3 - 184*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71195921?\nAnswer: 71195921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 5}. Give prob of sequence ommo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2590213 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 24 = 2*c, -32 = -4*q - c + 2*c. Let f = 344 + -300. What is the smallest common multiple of q and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4\/10 - 913*j**3\/10 - 3907*j**2\/10 + 219397*j\/10 - 107289\/5 = 0.\nAnswer: -18, 1, 13, 917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101100000 (base 2) to base 11.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - 2*x**2 + 1. Let j = 18 - 10. Let k be 0 - (j + (0 - 0)). Let z = k + 2. Let c(h) = 4*h**3 - 4*h**2 + 2. Give z*c(b) + 11*m(b).\nAnswer: -2*b**3 + 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 3*r - 60. Suppose 2 = 47*x - r*x. Is x < -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10*x + 70. What is g(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -13*c + 9. Let u(a) = 4*a**2. Give u(q(y)).\nAnswer: 676*y**2 - 936*y + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2330\/7 + -333. Put w, 0.0154, -0.5 in decreasing order.\nAnswer: 0.0154, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -161203, -322076, -482619, -642832, -802715, -962268?\n\"Answer: 165*k**2 - 161368*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h + 9. Let m(d) = -16*d + 28. Determine 10*b(x) - 3*m(x).\nAnswer: -2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -5. Let y = 8.6 + -4.9. Let b = y + -0.7. What is the biggest value in b, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -662, -735, -702, -563, -318, 33?\n\"Answer: 53*b**2 - 232*b - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49.85 - -54. Let o = 4.1002 - c. What is o rounded to three decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 - (0 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125 and 30.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 + 5676\/1980?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*z - 344, 4*z - 22*s - 686 = -24*s. Which is smaller: z or 174?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 14 = 4, -5*c + 9*c + 0*q - q = -13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 5\/(5\/7). Calculate the greatest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 20 + 2 - 11 - 25*v. Let c be w(12). Is -1\/173 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - u**3 - 3*u**2)*(2*u - 123 + 0*u + 69).\nAnswer: -2*u**4 + 54*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from rdyyysydy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 3*s - 6. Let h be l(-5). Suppose 5*f + 5*v - 118 = 107, -3*f + h = 2*v. Calculate the remainder when 174 is divided by f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11147128019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 >= -34623\/2665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.189 - -0.061. What is o rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 (base 5) in base 16?\nAnswer: -4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -426 (base 11) to base 10\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbb. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*m - 12. Suppose -3*b + 435 = m*b. Calculate the common denominator of 67\/30 and -3 + -2 + b\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2068*p**2 - 1034*p**2 - 1034*p**2 - 2232*p**3.\nAnswer: -2232*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 13 = -q + 2*q, 4*v + 2*q = 2. Suppose -516*b = -529*b + 260. Which is bigger: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 26 - 2*u**2 + 6*u**2.\nAnswer: 2*u**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/5 - 2788*p**2\/5 + 67344*p\/5 - 404928\/5.\nAnswer: -(p - 12)**2*(p + 2812)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t + 2*t - 3*t)*(4 + 1 - 3) + (-4 + 1 + 1)*(-t - 4*t + 2*t).\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/95*11130\/(-371)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*y - 2, 2*x = -y - 4*y + 13. Suppose 3*l + 11 = g, -x*l - 3*g + g = 18. Let i(d) be the third derivative of d**5\/60 + d**4\/8 + d**2. Give i(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 333? (a) 4\/9 (b) -6 (c) -10376\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134 + 187. Let y = 52 - w. What is the nearest to y in -0.01, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61570 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 554 - 449. Calculate the remainder when 108 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46783397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4095701 is divided by 12759?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 7:52 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**3\/6 + 5*a**2\/2 - 13*a. Give x(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + -10011100010001110000111?\nAnswer: -10011100010001101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*((sqrt(4050) - sqrt(4050)*-1 - sqrt(4050))\/(sqrt(120)\/sqrt(3)))**2.\nAnswer: 2041\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5118053, 5118061, 5118069?\n\"Answer: 8*t + 5118045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -27457397\/98 less than or equal to -280179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = x + 7, -6*x + 7 = -10*x + i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -706*o + 702*o. Let g(k) be the second derivative of 0*k**o + 4*k + 0 + 1\/3*k**3. Let i(z) = -13*z**2. Calculate i(g(u)).\nAnswer: -52*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1909, 2697, 4011, 5851, 8217, 11109?\n\"Answer: 263*j**2 - j + 1647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*n - 32*n - 15*n + 34 + 27*n - 54*n as y + f*n and give f.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/18 and -88\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + -10 - (-21 + 21 - -7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 p when three letters picked without replacement from {w: 5, p: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1504786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1 = w + 2*z, 2*w - 3*z - 3 = 0. Find the second derivative of -2*k**3 + k**3 - 2*k + 0*k**w + 0*k**3 wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(6\/11)\/r*r*r*r**(-1)*r**(1\/7)*r**5 assuming r is positive.\nAnswer: r**(438\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88371.27 milligrams in tonnes?\nAnswer: 0.00008837127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 + -70. Let l(k) = -k**2 + 5*k + 5. Let z be l(c). Is z at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**4*z**2 + 118*f**4*z - f**3 - f**2*z**2 + 4*f**2*z + 826*f*z wrt f?\nAnswer: 48*f*z**2 + 2832*f*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/11, 0.1, 1\/9, 0.9, 1\/8, 5\/8?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3041 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 c, and 1 b when three letters picked without replacement from yrbbzcbbyffc.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -704082 divided by -11\nAnswer: 704082\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3396 divided by 70\nAnswer: -1698\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 20 = -4*y. Let g(x) = -2*x - 22. Let f(b) = -6*b - 62. Let m(h) = -5*f(h) + 14*g(h). Give m(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2, -2 in ascending order.\nAnswer: -16, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -54*w**4 - 141*w**3 + 93*w**2 + 93*w + 9 = 0?\nAnswer: -3, -1\/2, -1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.99 - -0.01. Let k = m - 4.5. Let z = -24.7 - -25. What is the third smallest value in z, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*n + 25 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 32 + 4. Suppose 0 = 12*i - q - 126. Solve -i*d + 10*d + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/511 + 499\/3066. What is the nearest to 0.1 in n, -4, -30?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/12 and 4\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 6*u**2 - 8*u - 9. Suppose -4*r + 12 = 8. Suppose -5*v = -2*c - 24, 3*c + 10 = -5*v - r. Determine h(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1493 - -2?\nAnswer: -1491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.3 + -6. Let c be (0 + -6)*(-502)\/(-1506). Let d = 0 + -1. Put c, r, -3, d in increasing order.\nAnswer: -3, c, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/sqrt(160) + sqrt(68) + 1)**2 + ((sqrt(833) + -1)*6)**2.\nAnswer: -999*sqrt(17)\/2 + 481777\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/623 - -36733\/7476. Let h = 7157\/9 + -799. Calculate the common denominator of z and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1121 + 1?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2 + y - 20*y - 16*y - 56 + 52 - 5*y. Calculate m(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*u + 46. Suppose 0 = -0*y - 4*y + 4. Let c(r) = -r**3 - 1. Let m(f) = 0*f + 5*f**3 + 2*f**2 + 2 + 0*f + 4. Give u*c(k) + y*m(k).\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38, 37, 36, 35?\n\"Answer: -t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17552 is divided by 134.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*w**3 - 11502*w**2 + 3288*w.\nAnswer: -3*w*(w + 548)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 10. Put i, -1.4, -1\/5 in increasing order.\nAnswer: -1.4, -1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7073495?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67142 and 10855382?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*t + 48 = 0. Let i(y) = y**2 + 12*y + 8. What is the units digit of i(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 8:16 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29400934 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (13 + 3 + 11 + -6 + -19)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/20)\/g**9*g**(-2)\/(g\/(g\/(g**(-3\/2)\/g))) assuming g is positive.\nAnswer: g**(-171\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1343? (a) 0 (b) -2 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1648, 1646, 1618, 1552, 1436, 1258?\n\"Answer: -2*t**3 - t**2 + 15*t + 1636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -426*f**4 + 942254*f - 942399*f - 544*f**4 wrt f?\nAnswer: -11640*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 979, -1, 1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346096*o - 161 + 161.\nAnswer: 346096*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**5 + 22*q**3 - 27*q**2 - 6*q + 8. Let j(f) = -f**3 + f - 1. Let p(n) = -h(n) - 6*j(n). What is the third derivative of p(m) wrt m?\nAnswer: -240*m**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 8*k - 4*k + 3*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 10*o + 1. Let f be p(-11). Let w be f\/25 + (-128)\/5. Round w to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = -18. Let j(s) = 15*s**3 - s - 4*s**2 + o*s**2 + 0*s. What is the remainder when j(1) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*q**3 + 5 - 5)*(-2*q + 3*q + q) to p*q**3 + v*q**2 + o*q + x + u*q**4 and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4146*i = 263*i - 357236 for i.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = 10. Let w = -1 + c. Solve 2*o = -w*z + 4, 2*o - 3*z = -3*o - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2 = 3*q. Suppose -h + q*h + 5 = b, -5*h - 19 = b. Which is smaller: -1\/3 or b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -29.9?\nAnswer: 14.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 10. Let c be x(-8). Suppose -c*g + 20 = 4. What is the highest common factor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14137116 rounded to 4 dps?\nAnswer: -0.1414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16098689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i = 66*i + 1716. Let s = i - -287. Put -1, 2, 13, s in decreasing order.\nAnswer: 13, 2, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.3147ml in litres?\nAnswer: 0.0483147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -2147*h**3\/2 + 2*h - 3279. Let d(c) = -c**2. Give g(d(x)).\nAnswer: 6441*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 793 and 143?\nAnswer: 8723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z + 63. Calculate d(-17).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 55 = 5*m - n, 0 = 5*m - n + 80. Let d = 1 - m. Let r = 36 - d. Calculate the lowest common multiple of r and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/678 and 133\/376650.\nAnswer: 42561450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvu when three letters picked without replacement from vuuuuuuvuuvvvu?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5384 = z + 4*a, 5*z + 4*a = 10*z + 27016. What is z rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102 - 16?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 728 by -238.\nAnswer: -52\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2488 divided by 4?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12255005 + 503?\nAnswer: 12255512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228613293 + 16*b**2 - 3*b + 3*b + 228613293 - 25*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*a = 16, 4*z - 3*a + a = 32. Suppose 2*h - 28 = -h + 4*l, z = -2*l. Solve 0 = -4*o + 2*b - 20, 5*b + 5 = -h*o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 5*z - 3. Let k be d(-3). Let n = 7 + 2. Let h be ((-9)\/27)\/((-1)\/n). Calculate the highest common divisor of h and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/((sqrt(3) - sqrt(75)) + sqrt(3)) - (sqrt(30) + sqrt(2430)*-3))\/(4*-1*sqrt(90)*-5))**2.\nAnswer: 5929\/10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/41, 14136, 7\/8, -0.1, -2\/9 in decreasing order.\nAnswer: 14136, 7\/8, 6\/41, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18072359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11348434 is divided by 3782794?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + k)*(0 - 3 + 2) + (4 - 1 - 2)*(-k + k - k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 15*h**2 - 17*h - 14. Give n(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/8 (b) 2\/3 (c) 3\/17 (d) -10229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:14 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-388*a**3 - 603 + 603 + (-2*a + 0*a + 0*a)*(0*a - 2*a**2 + 0*a))*(-a**2 - 3*a**2 + 2*a**2).\nAnswer: 768*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5890394 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 69*w**2 - 55*w + 176. Calculate a(-70).\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 6503329153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 24339824?\nAnswer: -2433982.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.1228 rounded to zero dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 487876880 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: Rearrange -57*w + 41*w - 25*w - 45*w - 2 - 52*w to the form z + q*w and give q.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*w = -37*w - 33*w + 2941 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 = -4*k + g, -4*k - k + 2*g = -482. Suppose -1373 + k = -17*r. What is the greatest common factor of r and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1749\/(-53) - 46 - -24.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1439460\/(-405))\/(-44) - 81.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 11*p**2 + 6*p - 13. Let y be x(5). Find the common denominator of -4 + (-1)\/2*75 and (37\/y - 5) + (-6)\/9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42141\/2070 - (-5)\/150) + -20?\nAnswer: 9\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -338 - -328. Does 45 divide 0 - (m\/(-6))\/((-6)\/2106)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160405.86 seconds to minutes.\nAnswer: 2673.431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**2*t + 22*m**2 - 319*m*t + 180*m + 2*t - 980146 wrt m?\nAnswer: 4*m*t + 44*m - 319*t + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8422, -51353, -167880, -394801, -768914, -1327017, -2105908, -3142385?\nAnswer: -4473246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 3:37 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(99)*4*-5)\/(sqrt(144)*2*-4).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 172 + 123 = 0. Solve 0 = -4*y + x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7) + 1\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8 - 4 - g**2 + 7. Let j be i(0). Suppose 5 = u, -n - j = -0*n - 2*u. Let v(l) = 3*l**3 - l**2 - l - 1. What is v(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30819*c**3*i**2 - 8844*i**2 wrt c?\nAnswer: 92457*c**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - b + 227 = -0*b, 0 = y - 3*b - 39. Suppose -3*h = 2*h - y. What is the remainder when h is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -31. Suppose 0 = -3*s - 2*x + 26, 5*x + 50 = l*s + s. Calculate the remainder when 57 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652503 is divided by 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-1 + 0)) + (8 - 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(0 + sqrt(304))*-3 - ((sqrt(133) + -5*(sqrt(133) + sqrt(133) + sqrt(133) + 1*sqrt(133)))\/(sqrt(84)\/sqrt(192)) + -5).\nAnswer: 5 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 9)*(-18*m - 69*m + 134*m)*(1 + 2 + 0).\nAnswer: -1692*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -429586\/195 - -2203. Let n = 29\/195 - t. Put -2\/5, n, 1\/4 in descending order.\nAnswer: 1\/4, n, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 728.991 days?\nAnswer: 17495.784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 71888.56 millennia?\nAnswer: 718885.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccx when four letters picked without replacement from {c: 1, x: 7, n: 10}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-294)\/39 + (-12)\/26\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 670543853*h*t*u - 75*h*t + h*u - h - 272064*t wrt u?\nAnswer: 670543853*h*t + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2044\/(-730)*(-1)\/4*-6.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 38. Let j be (0\/(m + 1))\/1. Round j to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 4. Suppose -o - 53 = -v, y - 115 = -2*v - 2*o. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 866, 3442, 7736, 13748, 21478, 30926, 42092?\n\"Answer: 859*q**2 - q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 16 = -h, 4 = -h - 2*r + r. Let k be -3 + (-6 - h)\/(-3). Let n be ((-1)\/(-1))\/(5\/2). Which is the nearest to n? (a) 3 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(1 - 2) + 5*-1. Let l(g) = 22*g**2 + 2*g + 2. Let y(q) = 11*q**2 + q + 1. Let m(x) = 2*l(x) - 5*y(x). Determine m(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + x = 24, -4*x - 16 = u - 9*x. Let l = u + -2. Suppose -l*s - 2*o + 6 = -o, -10 = -4*s - o. Sort -2, s, -0.5 in decreasing order.\nAnswer: s, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*q*t + 1521*i**2*t**2*u + 3*i**2*u - 2*i*q*t**2*u - i*q*t*u + 4*i*q*u - 3*q*t**2*u + 27*q*u wrt t.\nAnswer: 3042*i**2*u - 4*i*q*u - 6*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 168.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - -25. Let d = x - 34.9999997. What is d rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632870457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56354 is divided by 1658?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59297028 to the power of 1\/2, to the nearest integer?\nAnswer: 7700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-253 - 24*l**2 + 253)*(9 + 6*l - 9)*(-26 - 28 + 51).\nAnswer: 432*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 7*s + 13. Let l be y(-5). Find the second derivative of 141*c**5 - l*c + 5*c - 164*c**5 wrt c.\nAnswer: -460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.652 (b) -1\/7 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.450859895 rounded to two decimal places?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 45 - 235 = 0. Let i = 229\/6 - t. Do i and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40167*v**3*y**3 - v**3 - 9668*v**2*y**2 - 3*v wrt y?\nAnswer: -241002*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - -23?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 + 2. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/445900 and 19\/2450.\nAnswer: 445900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*c**2*k**2 + 7783*c**2*k - 7*c*k**2 + c*k - 59*c - 2*k**2 - 76*k wrt c.\nAnswer: 96*k**2 + 15566*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/3 + (-16)\/(-24). What is the highest common divisor of k and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634679.5 meters in micrometers?\nAnswer: 634679500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 + -115 - (-7 + 1 - -1 - -13).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3*q)\/q*q)**(5\/4)\/(q*q**(-3\/14)\/q*q*q**(-2\/15)) assuming q is positive.\nAnswer: q**(913\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21826 - 40365 = 522*s + 11933 for s.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1414 = -1779*a - 122386 for a.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1635)\/36 - -45)\/(270\/(-24))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44544 and 2262.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 take away -25796462?\nAnswer: 25796160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**3 - 2*k**2 + 3*k - 1. Let i(s) = s**3 + s**2. Let d(f) = 3*i(f) - t(f). What is the units digit of d(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 609, 1234, 1845, 2442, 3025?\nAnswer: 3594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/40 - (-177)\/(-30). Calculate the smallest common multiple of (4 - o - 4) + 0 + -1 and 189.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w = 2*s - 10, -4*w = -2*s + 10. Suppose -15 - s = 5*m. What is the tens digit of (354\/(-12))\/(2\/m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 + 79. Let c be (-4)\/u - 2\/(108\/(-8682)). What is the greatest common divisor of c and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + 20)\/((-66)\/(-33)). Solve -6*r + 2*r - 23 = -u, r = 4*u + m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 102781, 102787, 102793, 102799?\n\"Answer: 6*l + 102775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(1\/6))\/(m\/(m*m*m**(2\/7))) assuming m is positive.\nAnswer: m**(131\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, -9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99518148 by -33172716.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-8)\/6)\/(-4))\/1. Let d(h) = h + 4. Let q be d(-4). Which is smaller: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(-1*sqrt(1331))*-1*1)**2 + -5.\nAnswer: -602\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = 0, 0 = -4*b + 46*j - 48*j + 162. Let c(w) = w**3 + 5*w**2 + 4*w - 1. What is the remainder when b is divided by c(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2. Let o(z) = 4095*z. Let c(k) = -11*k. Let d(g) = -390*c(g) - o(g). Calculate t(d(i)).\nAnswer: 38025*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*d**3*r - c*d**2*r**2 + 89*c*r + 10*d**3*r**2 wrt r?\nAnswer: -2*c*d**2 + 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 249, -4, -4\/5 in ascending order.\nAnswer: -4, -4\/5, -0.1, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -18. Put 3, -3, g in increasing order.\nAnswer: -3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, -2\/21, 5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - 0.9. Let x = h - 0.9. Sort 1, x, -3\/2 in descending order.\nAnswer: 1, x, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15380*k - 7092 = -15971*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1755 and 19210932?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (-23 + -15) - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, 3\/4, -1\/4, 53\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 46*r + 126. Determine o(29).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67356 = 610*t + 1402*t - 141*t for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*w - 40 = 0, w = -2*l - 0*w + 14. Suppose -r + l*r = -4. Calculate the remainder when (1*-14)\/(-1 + r) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 6:55 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 475740 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(156)*-2 + (sqrt(156) - (6*(sqrt(156)*2 + sqrt(156)) + sqrt(156)) - sqrt(156)))\/(sqrt(24)\/(sqrt(8)*1)).\nAnswer: -26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 5, -43, -2 in ascending order.\nAnswer: -43, -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3.4, -3\/2, 5, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8500000 = 3*v. Round v to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-12))\/(4\/224*14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100022102 + 0?\nAnswer: 100022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/210 and 101\/91490?\nAnswer: 274470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1303214144 - 23?\nAnswer: 1303214121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4420 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 4 (c) 49.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-50)\/140*-7)\/(-1))\/(((-60)\/(-14))\/(-6)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/3393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 152*y + 600. Calculate the remainder when 2134 is divided by l(-72).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, 0, 28045 in decreasing order.\nAnswer: 28045, 0, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -122*f - 1015. Determine z(-11).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -120 - 13679207\nAnswer: -13679327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001807614 to six decimal places.\nAnswer: -0.001808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 15. Let w(y) = -7*y - 33. Is w(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*v + 25, -18*c + 14*c - 5 = v. Let j be 90*-1*12\/v. What is the highest common divisor of j and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -23*j**2 + 8. Let z(h) = 15*h**2 - 5. Calculate 5*i(u) + 8*z(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 8) to base 16\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1134, 1159, 1196, 1245, 1306, 1379?\nAnswer: 1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -5\/672 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keakk. Give prob of picking 3 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*i**2 + 174*i**2 - 376*i**2 + 114*i**2.\nAnswer: 125*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(1\/148*-2). Let w = -103 - f. Suppose 9 = 4*v - 11. What is the highest common divisor of v and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1753*s + 6*s**2 - 4*s**2 - 1753*s. Let t(k) = -389*k - 2. Calculate y(t(w)).\nAnswer: 302642*w**2 + 3112*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is be6 - 4?\nAnswer: be2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550462188 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2876.749mm to meters.\nAnswer: 2.876749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1318925*0.3\nAnswer: 395677.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 4, 19, 1\/4, -0.03?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7178955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 5 = 5*z + 9, 2*b + 28 = 4*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 26. Let c = 1048 - 1024. Determine j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4163 - 4138. Let g be 4\/(3 - -1) - -4. Let n = g + 0. Solve -n*b - r = -0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.788 and 0.26?\nAnswer: -0.46488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -65 - 13*a - 130 - 168 + 512. Determine u(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - w**2 - w. Let h be 2 + (11 - 5 - 6). Determine p(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a21ab5 + 4?\nAnswer: -a21ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1160\/(-14210)*(1*-1 + (-10)\/4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Suppose -31 = -9*a + 5. Suppose p = -a*z + 5480 - 444. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10584 and 3234.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.83 - -105.83. Let r = -100.7 + j. Sort 0.5, -1\/5, r in decreasing order.\nAnswer: r, 0.5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 11 = -0*a. Let g be -1*((0 - 1) + a). Suppose 690*m = 689*m + 2*r - 1, -3*m + r = -12. Solve -g = 3*t - p + 4*p, t - m*p = 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*2 + -2 + (sqrt(700) - sqrt(700)*2*-4) + sqrt(700))*3 - (-2 + sqrt(112)*-1*5 + -2))**2.\nAnswer: -1520*sqrt(7) + 1010804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -22*d. Let u(l) = -560*l**2. Give u(s(f)).\nAnswer: -271040*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(117) + sqrt(117)*1*4 - 2*sqrt(117)*-3))\/((sqrt(81) + sqrt(81)*1*4 - sqrt(81))\/((sqrt(108)\/sqrt(4))\/sqrt(3))).\nAnswer: -33*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**2\/2 + 6*n - 1. Let a = 3 + -3. What is the smallest common multiple of w(a) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, u: 4, i: 2, c: 3, r: 2, y: 2}. What is prob of picking 2 u and 1 k?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*h**2 + 1\/2*h + 0.\nAnswer: h*(5*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 581394 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 10:59 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9225*0.53.\nAnswer: 4889.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 122.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 11.7. Let u = 193\/705 - -14\/235. What is the nearest to 0 in 5, u, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + (14 - (1 + 9)) - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 519626 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)\/(m*m**(1\/6)*m))**(-47) assuming m is positive.\nAnswer: m**(2773\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -12, -3 = w - 4*q + 4. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5875?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i + 21*i + 20 = 0, 3*f = -3*i - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 697061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(50)\/sqrt(5))\/sqrt(5) - (-5*(sqrt(2) + -2))**2.\nAnswer: -150 + 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1097216 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*q - 50 = 0, 0 = q - 2*q - 2. Let s = -10 - t. Suppose 0 = -5*k - 4*z + 52, -3*k = -2*k + 2*z - s. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.94572 millilitres?\nAnswer: 0.00494572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511 divided by -18?\nAnswer: -3511\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4552 - 3087*x + 4552 to the form q*x + w and give q.\nAnswer: -3087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 18167466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 2, w: 1, g: 1}. What is prob of sequence gf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 23937462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**31*w)\/w*w*w*(w*w\/(w\/(w*w*w**(29\/3)\/w)*w))\/w*(w**(-7))**23 assuming w is positive.\nAnswer: w**(-352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p\/(p\/(p\/p**(-7))*p)))*p*p*p**7*p*p*p*p*p*p**9*p**(1\/9) assuming p is positive.\nAnswer: p**(271\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b + 37*b = -715. Let h = -138 + b. Solve -4*m = 3*j - 3, 0 = 5*j - h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -10. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4820335943 to the power of 1\/2, to the nearest integer?\nAnswer: 69429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -65424 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 42*j - 588. Let y be q(14). Solve y = -2*z + 2*g - 2, -4 = 2*z + g + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 1, 2901, 0 in increasing order.\nAnswer: -1, 0, 1, 2, 2901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12718 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -275839*s**4\/8 - 34*s**3 + 18*s**2. Let d be w(-12). Round d to the nearest one hundred thousand.\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 54.35.\nAnswer: 54.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10658\/5 - 2\/5*d**2 + 292\/5*d = 0 for d.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 185006, 185001, 184992, 184979, 184962?\n\"Answer: -2*k**2 + k + 185007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = 8. Let s = t - -12. Solve -5 + s = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583465 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-8)\/(-3) - (26 + (-2982)\/63).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-21))\/(2\/(-7))*2\/(-14)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98481.61l to millilitres.\nAnswer: 98481610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -13*g**3\/6 + 158*g**2 - 67*g. What is the derivative of m(h) wrt h?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 103 + 95 = 0. Let p = 49 - k. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t + 112. Let a be u(32). Let y = a - -50. Let g = -2 + 6. Solve g*x + 3 = p, y*p + 3*x + 3 + 2 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-2\/9)\/g*(g\/((g**(4\/5)*g)\/g*g))\/g assuming g is positive.\nAnswer: g**(-91\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 206154.7 centuries in millennia?\nAnswer: 20615.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let m(j) = 16*j - 33. What is 3*c(r) + m(r)?\nAnswer: 13*r - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 1\/2*(0 + 2). Let y(p) be the third derivative of 0 - 1\/8*p**4 - 3*p**2 + 0*p**w - 1\/60*p**5 + 0*p. What is the second derivative of y(z) wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217577 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 195372 = 2*p - 10494, 4*p - 411696 = 5*m. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1.12. Let t = 27.98 - 28. Let j = o - t. Which is the second biggest value? (a) -2\/3 (b) -1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43455083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 593, 591, 589?\n\"Answer: -2*j + 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 409222\nAnswer: 2\/204611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-5)*s**(3\/14))\/(s**4\/s)**(-28) assuming s is positive.\nAnswer: s**(1263\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/110 and 83\/9746?\nAnswer: 48730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/1421 and -53\/11?\nAnswer: 15631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 2.8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2003, -2005, -2007?\n\"Answer: -2*a - 2001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 - 1.34. Let u = 0.22 + m. Let z = 0.6 - u. Is z < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9 - 2. Let n = 0 - u. Let o = 38\/33 + -20\/11. Which is the closest to o? (a) -1 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - d + 89*d**3 - 106*d**3 + 136*d**3.\nAnswer: 119*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5771*n**2 + 972*n**2 + 968*n**2 + 952*n**2 + 964*n**2 + 964*n**2 + 961*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4738433?\nAnswer: 7, 676919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 399.78 in 2\/7, 5, 3\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3*h)**(-45))**(-39)*((h*h\/((h*h**1*h)\/h)*h)\/h*h*h)**49*h**(5\/4)\/h**(-7\/2) assuming h is positive.\nAnswer: h**(28491\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55137.\nAnswer: 3, 18379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -29745?\nAnswer: -14872.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 22 = 24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -157. Suppose 0*a + 2*a + 4*g - w = 0, 3*a - 5*g = 123. What is the remainder when a is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 135\/12 + (-2)\/8. Suppose -2*q = b - 10, -4*b + s = q - 8. What is the least common multiple of b and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45077*l**3*v**2 + 25*l**3*v + 2*l**3 + l**2 - 379919*l + 1 wrt v.\nAnswer: 90154*l**3*v + 25*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g + 2 - 3 + 2 + 6*g to the form y + s*g and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -45*l + 6 - 47*l - 54*l + 2*l**2 + 153*l. Calculate b(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + d + 10 - 21 = 0, 3*z = -3*d - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151425053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 303153.121 rounded to the nearest ten?\nAnswer: 303150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((6*sqrt(325)*2 + sqrt(325) + 4*(-2*sqrt(325) + sqrt(325)))**2 + (-2 + -5*(3 + sqrt(637)))**2).\nAnswer: 3570*sqrt(13) + 127617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335868 is divided by 422.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 198, 200, 202, 204?\n\"Answer: 2*c + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 585090 = -50*g. Suppose 4056 = 6*q - g. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3*l = -17689332 + 17689326, 3*z = -l - 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 946*t**4 + 55*t**4 - 8*t**4 + (-t + 5*t - 2*t)*(2*t**3 - 3*t**3 + 2*t**3) - t**2 + t**2 - t**4.\nAnswer: 994*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 59 + 51 + 120)*(-2*j**2 + 5*j**2 - 2*j**2)*(-j - 8 + 15 - 4).\nAnswer: -261*j**3 + 783*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d**2 - 6. Let s(k) = 6*k**2 - k + 7. Let g(w) = -6*r(w) - 5*s(w). Let o(t) = -t**2 - t. Give -2*g(m) - 10*o(m).\nAnswer: -2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 0*f - 2*f - 324, -4*i - 5*f - 312 = 0. Let t = i + 80. Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.4, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*u + 27, -a + 3*u = -0*a - 2. What is the first derivative of 2 + 5 + 7 + a*y**4 + 1 wrt y?\nAnswer: 68*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -19. Let r(s) = s**2 - s + 6. Let z(l) = -1. What is v*z(o) + r(o)?\nAnswer: o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -26. Suppose t = 2*s - 6, u = -5*s + 37. Does 11 divide ((-18)\/t)\/(6\/(-88))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2556)\/(-45) - 25 - 29) + (-384)\/130?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 204621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 24*m**7\/7 - 23*m**4\/12 + 2*m**3\/3 + 110*m. What is the third derivative of a(w) wrt w?\nAnswer: 8640*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 14*o**2 + 26*o - 10. What is v(-11)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.414133 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -3*k**5\/4 - k**4\/6 - k**3\/6 - k**2\/2 - 2*k. Is j(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*i + 3896 - 2104 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8820317, 17640648, 26460979, 35281310?\n\"Answer: 8820331*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) -0.05 (c) -0.1 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 292894*q + 8786859. What is h(-30)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 + 22700. Let j(p) = -p**3 - p**2 + 5*p + 6. Let d be j(-2). Let g be u(d). What is g rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90386*s = 90210*s + 5456 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 7.6 (b) 14 (c) -1 (d) -2\/3 (e) 1\/5 (f) -12 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 8, i: 1, j: 2}. Give prob of picking 1 j, 2 r, and 1 h.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -0.3 (c) -101 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:31 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -247 - 2?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {l: 1, c: 2, j: 1, n: 1, e: 1, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 8, 3*r = 6*h - h - 34. Suppose -3*k + 14 = -c, 5*c - h = 12. What is the greatest common divisor of k and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 119\/40 + (2\/10)\/((-81)\/(-162)). Let a(p) = p - 5. Let z be a(7). Which is greater: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54498\/115 + 15716\/23. Let v = t - 9263\/8. Let i = 7\/8 + v. Are 1 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r. Let t(n) = 41*n**2 - 2*n - 3. Let k be t(-3). Let v(s) = s**2 - 372*s + k*s. Give j(v(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-1*6 - (sqrt(132) - ((sqrt(132) - -1*(2*sqrt(132) + sqrt(132))) + sqrt(132))))\/(-4*(sqrt(12) + sqrt(12) + sqrt(24)\/sqrt(2)*-5)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 8, u: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 48*u - 2928. Give k(62).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*(8\/(-20))\/(6\/(-60))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2310)\/(-588) + 4\/56. Solve -p + 21 = c*h - 0*p, -3*p = -5*h + 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-2) + (-10 - -8). Let c be (824\/120 - (-2)\/15) + x. Solve c = -4*y + 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(1377)*-4 + -2*2*sqrt(1377).\nAnswer: 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8836?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 444 by 4.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6) + (-18)\/36?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2694.286 rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from vtyyydqyyytydyyvtv?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) - (-1280)\/(-30). Let a = u - -50. Is (-4 - a\/(-2))*-422 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f. What is the tens digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/105 - (-285)\/(-105)) + (5\/(-5) - -4).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -7. What is the derivative of -k**b - 4 + 3 + 7 + 2*k**2 wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*c = -789*c + 24570 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-517.2.\nAnswer: -258.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -12790*n + 920857. What is d(72)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13441 (base 16) to base 9\nAnswer: -130221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/9 (b) -5\/97 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 - 127*l**2\/4 - 51*l\/4 + 95\/2 = 0. Calculate l.\nAnswer: -10, -19\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 5)*(-11 - 64 + 28)*(4*y**4 - y**4 - y**4).\nAnswer: 94*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*h + 57, -3*s + h + 48 = 2*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 10:22 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9014035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p\/(p*p\/((p**(3\/5)\/p)\/p))*p*p*p)\/p)**(-26\/5))**13)**(-2\/47) assuming p is positive.\nAnswer: p**(2028\/1175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/1 - 3) + 0. Suppose p = 2*z - z - 19. What is the highest common divisor of 57 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686068 is divided by 343030.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 126045 and 83.1?\nAnswer: 10474339.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 11*t + 290. Calculate the remainder when 402 is divided by f(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.871 - 8.871. Which is the closest to -2\/15? (a) -139 (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 i when four letters picked without replacement from {b: 1, i: 11, q: 2}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -19807.\nAnswer: -6\/19807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -15*o**5\/8 + 1557*o**4\/8 - 18015*o**3\/4 - 52677*o**2\/2 - 33075*o = 0.\nAnswer: -3, -2, 0, 50, 294\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 6*k**2 + 3*k - 3. What is the tens digit of y(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Suppose 5*w + 5 = -5*y, 4*y + 13 = -w - 0. Calculate the remainder when t is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-4) + (-470)\/(-280)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 0*s + 14*h + 39 = -0*s + 49, 3*s + 5*h = 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 3608 = -1594. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 12*d**2 + 8*d + 11. Let m be k(5). Suppose 83*n = 58*n + 325. What is the greatest common divisor of m and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o = 25*o + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71252.19 centuries in decades?\nAnswer: 712521.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1218.289nm to meters.\nAnswer: 0.000001218289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5702619 + -2691619. Round m to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.041 - 19.359. Round t to zero dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruqwwirwwwqirr. What is prob of sequence wru?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89844508.\nAnswer: 2, 13, 1727779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 0.6. Let y = h + 0.1. What is the second biggest value in -3, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*o - 320 + 80, -66 = -o + 3*s. Suppose 2*x = -4*r + 138, 2*r - 19*x + 14*x - o = 0. Calculate the highest common factor of 525 and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:41 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 20 - a**2 - a**3 + 3*a + 10 - 2*a**4 as b + k*a**4 + l*a**2 + v*a**3 + t*a and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -859, -1723, -2587, -3451, -4315, -5179?\nAnswer: -6043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 18*h - 68*h + 6. Let u(f) be the second derivative of -f**2\/2 + 2*f. Let o be (3 - 1)*2\/4. Let a(q) = -6*q + 2. What is h*u(n) + o*a(n)?\nAnswer: -6*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37108290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2539139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.3 (b) 2\/17 (c) 0 (d) 4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 453, 367, -87, -1029, -2579?\nAnswer: -4857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -29*n**3 + n**2 - n - 1. Let h be s(-1). Let x(u) = -u**3 + 6*u**2 + 18*u - 10. Let a be x(8). Calculate the greatest common divisor of a and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*((-9)\/15 - 158\/(-10)). Let s be (1 - (-217)\/(-3))*h\/32. Let f = s - 347\/2. Calculate the common denominator of -56\/3 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m + 178 + 242 + 131 = 0 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 3*y**2 - 1\/70*y**7 + 0 + 0*y**4 + y**3 + 0*y + 0*y**5 + 0*y**6. Find the first derivative of t(b) wrt b.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 3*r)*(-7 + 2 + 2) + r + 0*r + 3*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201.2, 5, -2\/9, 2\/11, -0.2.\nAnswer: -2\/9, -0.2, 2\/11, 5, 201.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1*-1 + 0. Let z = -211\/2 - -93. Let s = -12 - z. Which is smaller: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1405 = 2*o, 2339 = 5*o - 4*n - 1216. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + -1.8. Let f = -20 + 21. Let p = f + v. What is the third smallest value in 2\/3, p, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518960?\nAnswer: 2, 5, 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*x + 336. Let s(p) = -21*p - 2*p**2 - 27*p + x*p. Let m(d) = -13*d. What is m(s(q))?\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*v - 164, -3*v + 116 = d - 3*d. Suppose -t = -59 + v. What is the greatest common divisor of 133 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 39*h - 198. List the prime factors of i(5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12383 = 588*l + 1216 + 513. Sort 18, -3, l in decreasing order.\nAnswer: 18, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/4389*-21)\/6.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2055 or -63\/5?\nAnswer: -2055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 4:34 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -722.042484 to one decimal place.\nAnswer: -722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*g = -91 - 1007. What is the highest common factor of g and 2907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4344247531 to the power of 1\/4, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258471 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/60*216\/(-27)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1001902557 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/226 and 35\/904?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-2\/7)*v**1*v*(v\/(v*v**2)*v)\/v*v*(v\/v**(-1))\/v*(v\/v**(1\/8)*v**(1\/3)\/v)\/(v**(3\/5)*v*v**3\/v) assuming v is positive.\nAnswer: v**(-569\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -373.\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 14 - 1. Let v(d) = -8*d + 10 + 3*d**2 - q*d + 3*d**2 - 5*d**2. Let k be v(10). Solve -2*n + 6 + 0 = k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.4 (b) -5\/238 (c) -1\/4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 + 6*o**3 - 32 - 23 - 2*o**2 + 3*o**4 - 3*o + 4*o in the form j*o**4 + w + u*o + p*o**3 + q*o**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 34139076.83 to the nearest one thousand.\nAnswer: 34139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {d: 3, y: 1, b: 5, l: 1, o: 2, t: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/18)\/((-450)\/(-27)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 945 + -135. Calculate the highest common divisor of z and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345488497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1747 + -1751. Sort 0.2, -2, -168, c.\nAnswer: -168, c, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*z**3 + 10107*z**2 - 156991*z wrt z.\nAnswer: -30*z + 20214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 times -35?\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13965509 and -136?\nAnswer: 1899309224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 0. Suppose y*b = -b + 5. Let x be (15\/(-6))\/5*-6. Solve -x*v + 2 - b = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4045058 divided by 4?\nAnswer: 2022529\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-3)\/(27\/(-15)). Suppose 4*z = 3*t - 4*t - 1, 5*t - 3*z = 18. Suppose -t*k - x + 3*x = -10, k - x = 5. Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*746084.\nAnswer: -2984336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 11. Let q = -2413.9 - -2423. Let m = q - l. What is the nearest to m in 1, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 607?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/7)\/s*s**(2\/15)*s)\/(s*s*s\/(s**(-2\/5)\/s)*s*s*s*s*s**5)*(s**0)**(-14\/11)*s**4*s**(-2\/5)*s assuming s is positive.\nAnswer: s**(-173\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -286647 - 606427\nAnswer: -893074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Solve -m*i - 4*r = 2*i + 16, -5*i + 3*r + 12 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 68*g + 2188. Give x(92).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1146782057?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 126, 238, 350, 462?\n\"Answer: 112*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 48. Suppose p = 4*k + 3*z + z, k - 5*z + 12 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 - 39*z**2 + 3*z - 189. Determine f(21).\nAnswer: 1197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmzbooozmozzoooooz. Give prob of picking 1 b, 1 o, and 2 m.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-1 - 0) - -7. Let t be -2*1 + (27 - -97). Suppose -5*k = -t + 107. Solve 5*z + 18 = y + z, -2*y - w = k*z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -229.3 - -215.3. What is the nearest to y in -0.5, 1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 1. Let c(z) = -2*z + 4. Let m(q) = c(q) - 4*s(q). Let f(h) = -3*h. What is f(m(p))?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + t - 1. Let r(w) = w**2 + w. Let n(y) = k(y) - 3*r(y). Let f(b) be the first derivative of n(b). Find the first derivative of f(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 0*w - 4*w - 2*w**3 + w**3 + 0 - 3 + 6*w**2. What is the lowest common multiple of 30 and a(5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16 - 14.04. Let b = -71.2 - u. Let i = -53 - b. Which is greater: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/1106 and -95\/2824?\nAnswer: 1561672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a day in minutes?\nAnswer: 15264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2946 and 65\/35454.\nAnswer: 17407914","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 12:44 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in years?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + 1. Let v = -32 + 33. What is the closest to p in -4, v, -3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 300 (b) 5 (c) 0.32 (d) 0 (e) 2\/3 (f) 4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 + 5*x + 26. Give u(-5).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-25)*30*-1. Let d = 40 - h. What is the lowest common multiple of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -16*x**3 + 16*x**2 - 48*x - 60. Let d be v(-20). What is d rounded to the nearest 1000?\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10254.3 to the nearest one hundred.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*w - 40 = 0. Suppose 4*n - 3*x = 970, 0 = -4*n + 3*x - w*x + 960. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 42 = -q. Let y(c) = c - 1. Calculate y(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2328)\/(-116) + -134 + 114?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 6128?\nAnswer: 55152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1137454235?\nAnswer: 5, 103, 563, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.1 + -11.1. Put 0.6, l, 0.1 in increasing order.\nAnswer: l, 0.1, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 8*l**2 + 22*l + 9. What is the remainder when x(10) is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-3 - -7)\/(-8) - -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -756, -1732, -3098, -4854?\nAnswer: -7000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 16 = 3*f, 4*u - 2*u = -0*u + 50 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43170167 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 46. Let j = 0 + 1. What is the second biggest value in j, f, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 - -2 - (-490)\/((-10)\/(-1)). What is the highest common divisor of 3318 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 30547*u - 824790. Calculate t(27).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-32 - -13) - -50?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-189)\/84)\/(35\/5*-2).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2 = 5 - 20 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**6 + g**5\/60 + 49*g**4\/4 + 138*g**2. Find the second derivative of w(n) wrt n.\nAnswer: 720*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32786336*b + 3573626 wrt b?\nAnswer: -32786336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-35 - (1 - (-9 - -10)) - -5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l*l\/(l\/(l\/l**(2\/3)))*l)\/l**(5\/14)*l\/((l\/(l**(-8\/11)\/l))\/l)*l*(l\/l**(-1))\/l assuming l is positive.\nAnswer: l**(2887\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**6\/120 - b**5\/15 - b**4\/24 - 2*b**3 + 46*b**2. List the prime factors of t(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20 (b) -0.4 (c) -0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/14 in 1, 2\/101, -3, 0, 1.7?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119268 and 1314.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.61 + -76?\nAnswer: -84.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**3 + 10*i**2 + 73*i + 1154. List the prime factors of u(-25).\nAnswer: 2, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and -556883.03471.\nAnswer: -556874.03471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from wjjeuuh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**4 + 84913*i**3 + i**2 - 65655*i?\nAnswer: -24*i + 509478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -1396*n**5 - 48880*n**4 - 451608*n**3 - 409904*n**2 - 5780*n = 0.\nAnswer: -17, -1, -5\/349, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlgquuoqmuq. Give prob of sequence qom.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z**3 - 6*z**2 + 3*z + 6. Let i(l) = 2*l**3 + l**2 - 1. Determine 6*i(n) + m(n).\nAnswer: 20*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 14. List the prime factors of (-1)\/((-3)\/69) + b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5285098 and -0.2.\nAnswer: -0.30570196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-6\/5)*h**(-2\/15))\/(h**1*h*h**0))**(10\/11))**(-46) assuming h is positive.\nAnswer: h**(4600\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 - 126*u**2 - 698*u - 32. What is j(-6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 14. Suppose 0 = k*m - m - 10. Solve -x + 18 = m*h - 12, -5 = -4*x + 3*h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68865 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: Is 1296 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**5\/q))**(-32\/3) assuming q is positive.\nAnswer: q**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + 2*x + 1. Let n be i(3). Let p(r) = -41*r - 836. Let a be p(-21). Let h = a + n. What is the closest to -3 in -2, -0.3, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**3 - 776172275*r + 244082344?\nAnswer: -3*r**2 - 776172275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*n - 25, 5*n = -4*y + 9*n + 124. What is the greatest common factor of y and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -473572\/3 or -157857?\nAnswer: -157857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 15. Let r be l(16). Let b = 7 - r. Suppose v - 3 = b. What is the greatest common divisor of 44 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 918 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43257140 divided by -1405?\nAnswer: 30788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*x - 27*x + 636. List the prime factors of 21\/30*x + 10\/(-50).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 136*s**3 - 7. Let x(n) = -406*n**3 + 20. Determine 17*v(q) + 6*x(q).\nAnswer: -124*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.135 and -608.5958.\nAnswer: -608.4608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5.3*-13004.372\nAnswer: 68923.1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1785 = -4*z + 3*b + 1820, -3*b + 15 = 6*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 5*n - 4. Let y(u) = -u**2 - 5*u + 10. Suppose -21 = 2*l + l. Let a be y(l). What are the prime factors of w(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*n**2 - 12\/5 - 4\/5*n**3 + 4*n.\nAnswer: -4*(n - 1)**2*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 547348*i**3*s - 520*i**3 - 682*i**2 + 433*s - 33 with respect to s.\nAnswer: 547348*i**3 + 433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*a = -0*a - 257, 0 = 2*k - 3*a + 160. Let i = 7972 + k. What is i rounded to the nearest 100?\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bsggjgxbrbjgsb. What is prob of sequence xsjs?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10813\/8 - 1349. Let p(r) = 9*r - 245. Let i(c) = 2*c - 62. Let s(g) = -22*i(g) + 6*p(g). Let d be s(11). Which is smaller: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 8 + 1 = 0. Let b(d) = 3*d - 1. Let q be b(2). Solve q*i = u - 13, k = -i - u - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 27*a + 318. Calculate l(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-18 - (11 - 25)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.2 + -1.2. Which is smaller: 6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*x + 58*x + 24*x - 673 + 674 - 3*x**3 - 2*x**2 - x as w*x**3 + u*x + l*x**2 + v and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*l + 24, 0 = d - 2*l + 22. Let s = d + 17. Suppose -s*y + 2193 = 658. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = -4*p, 10*p - 5*z = 8*p + 14. Suppose 9 = -p*l + 253. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -111.79\nAnswer: -111.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22500 and 3788875?\nAnswer: 681997500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 529 + -374. Let c = 110 - h. What is the remainder when 5 - c - (5 - 2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 561 + -560. What is the nearest to 0 in -3, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 142, -4, -3 in descending order.\nAnswer: 142, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 4*q = -754106, 2*d - 100550 = 6*q - 4*q. What are the prime factors of d?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 112\/(-7)*741\/(-2). Calculate the highest common factor of p and 247.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*l + 66 = 2*l, -2*p + 5*l = 61. Let h = p + 33. Suppose -h + 2 = -i. Calculate the smallest common multiple of i and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 + 7566147.\nAnswer: 7566096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56519*j**4 - 45*j**3 - 4569 + 56517*j**4 + 2*j - 22*j**3 with respect to j.\nAnswer: -8*j**3 - 201*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - 4*d**3 - 38*d**3 + 19*d**3 - 39*d**3 - 1 - 2*d + d**2 + (-1 + 3 - 5)*(6*d**3 + 3 - 3) to the form n*d + h + t*d**3 + l*d**2 and give t.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 11. Let g = -6 - -6. Solve 4*q + d + 5 = g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, c: 1, m: 1, q: 1, x: 1}. What is prob of sequence cq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135*q**2 + 536*q**2 + 569*q**2 - 323*q**2 + 392*q**2)*(-5*q + 3*q + q).\nAnswer: -1039*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -55. Let j be (-52)\/234 + (-1624)\/a. Is 2\/5*j\/1 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44200 - 3?\nAnswer: 44153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1215979727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 319*x + 3*x**2 - 11299*x**6 - 9*x + 152*x + 17873*x**6 wrt x?\nAnswer: 788880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -23. Let o = t - -32. Let i = o + -17.955. Round i to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -63, -1\/101, 0.5?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/13))**(3\/10) assuming q is positive.\nAnswer: q**(3\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from {t: 1, w: 13, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*z - 210 + 44. Let g = -7 + 11. Solve g*i - 10 = z*h, 0 = -0*h + 3*h + i - 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnn when three letters picked without replacement from {h: 7, n: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k + 7*k + 140 = -94. Let q(o) = 5*o + 11. Calculate q(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k**2 - 8*k - 8. Let n(u) = 14*u**2 + 10*u + 10. Let r(f) = 5*i(f) + 4*n(f). Let o(x) = 639*x**2. Determine r(o(t)).\nAnswer: 408321*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.11 + 0.11. Let d be ((-1)\/6 + (-55)\/30)\/(-1). Suppose -3*r + 5*i = -37, 0 = -3*r - d*i + 2 - 0. What is the smallest value in t, 0, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3011*c - 21061 - 3489 = 2549 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22054 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -4 - (7 - (0 - -11)) - 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*1 - sqrt(112)\/(sqrt(8) + sqrt(32)))\/((5*sqrt(24)\/sqrt(2))\/sqrt(6)))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-14) - (-19)\/7. Suppose 0 = l*w - 3*i + 2*i - 14, 5*w + 2*i = 5. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -516 (base 9) to base 14.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19325850 to the nearest integer?\nAnswer: 4396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525679 is divided by 1306.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 47*b - 76*b - 7.\nAnswer: -123*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130536)\/(-1323)*(8\/(-16))\/(14\/21)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152700 by -1.\nAnswer: 152700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 75*z - 162. Let v(t) = 2*t. Give c(v(h)).\nAnswer: 8*h**2 - 150*h - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128538 is divided by 32025?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54147?\nAnswer: 3, 18049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 8003251*m**2 + 11330*m - 2. Let u(g) = 40016260*g**2 + 56657*g - 13. Let b(z) = 2*u(z) - 11*v(z). Solve b(f) = 0 for f.\nAnswer: -2\/2829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(1\/18*-21).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 95, 136, 179, 224, 271?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, 0.08, 10, 10287?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5601 + 0.0671. Which is bigger: h or -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8800021*c*n - 2018977*n wrt c?\nAnswer: 8800021*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*o - 15, -6 = 5*g + 4*o + 6. What is the nearest to -2\/7 in g, -3, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/32 + (-19178)\/(-2752).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/2)*v*v**(-15))\/(v**(-1\/3)*v)**6 assuming v is positive.\nAnswer: v**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 48*s - 4. Let n(x) = -5*x + 4. Let w(y) = -2*b(y) - 2*n(y). Let p(j) = -13*j. What is w(p(r))?\nAnswer: 1118*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12816 - 12815.77735. Round o to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -864, -922, -980, -1038?\nAnswer: -1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178499689.\nAnswer: 178499689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1091 - 1089. Solve 13*b + 4*x = 15*b + w, 0 = 5*b + x + 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6075 and 58936275.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 2*d + 6. Let m be c(-3). Let t be (-22)\/(-6) + 4\/3. Suppose -2*f + 78 = 2*f + m*z, 4*z = -t*f + 98. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -3, 3, -2.27, 7, 2, 2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 7*q**5\/60 + 5*q**4\/24 + 11*q**3\/6 - 135*q**2. Find the second derivative of p(y) wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 3\/89, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -100414023 (base 5) to base 3\nAnswer: -202112112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3122 - -0.0022. Round b to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -435, -868, -1301, -1734, -2167?\nAnswer: -2600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -20. Let g = d - -12.972. Round g to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*t - 2*t. Let u(f) = -f**3 - 6*f**2 + f + 7. What is the least common multiple of 9\/(-15) + 96\/10 and u(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225 - 134. Let q = u - 53. Calculate the highest common divisor of q and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/20)\/(48\/40).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 652 or -0.51?\nAnswer: 652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y**3 + 17*y**2 - 67*y - 1. Let m be (-12)\/2*(-6)\/9. List the prime factors of d(m).\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 71*l - 3*l**2 - 9 + 11\/3*l**3. Is b(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -525801.375004 take away -0.4?\nAnswer: -525800.975004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -104 + (26 + -72 - -81)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s - 16\/5 - 4\/5*s**2.\nAnswer: -4*(s - 4)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -260, -373, -466, -533, -568?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 209 + -208. Which is the closest to d? (a) 5 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/84)\/(126\/1470).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/10262661 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.0464 * 0.3\nAnswer: 0.01392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 4. Calculate k(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b769 (base 15) in base 5?\nAnswer: 30210144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**5 + 476*y**4 - 16168*y**3 + 120888*y**2 - 338580*y + 326700.\nAnswer: -4*(y - 55)**2*(y - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-8))\/((-12)\/(-39)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u - 4*u + u**2. Let s(m) = 4*m. Let a(x) = -x. Suppose 2*w - 9 + 7 = 0. Let q(y) = w*s(y) + 5*a(y). Determine c(q(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125840520 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -288, -342, -386, -414, -420, -398?\n\"Answer: h**3 - h**2 - 58*h - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(6\/(-30)*(-180)\/108)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p**3 + 37*p**2 - 237*p - 11. Let c be x(6). Is c less than -1613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 7856 = 3*c - 5*g + 7896, 0 = 5*g - 8 - 32 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(-11)\/c)\/c*c)\/c**(-2))\/(c\/(c\/(c\/((c*c*(c**(2\/13)*c*c*c)\/c)\/c))*c*c))**(12\/19) assuming c is positive.\nAnswer: c**(-1575\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(10) - sqrt(10))*3)\/(4*sqrt(35)\/sqrt(7)))**2.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2494*z + 10031*z - 2495*z - 2542*z - 2496*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**5\/30 - f**4\/6 - 2*f**3\/3 + f**2 - 1. Let h(x) be the second derivative of v(x). Give h(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 5*z + 7. Let m be s(-4). Let a be (-1)\/(4\/6)*(-5 + m). Solve -a = -2*y - 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 - 2*g**3 - 183*g**4 + 185*g**4 - g - 24*g**2 in the form o*g + i*g**2 + p*g**4 + h*g**3 + u and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*((-1 + 1 + 3*i)*(0*i + i - 3*i) + (i - 3*i + 0*i)*(-2*i + 4*i + 0*i) - 2*i**2 - 6*i**2 + 3*i**2).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 130174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 23*i - 9. Let f(z) = -22*z + 10. Let r(k) = -5*a(k) - 4*f(k). Differentiate r(d) wrt d.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 13. Let p = s + 10. Is 3 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 m when three letters picked without replacement from {q: 1, z: 2, l: 1, u: 2, o: 12, m: 2}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.16 - -0.9. Let d = x + 0.64. Let k = d - 3.7. Sort k, -3, -3\/7 in ascending order.\nAnswer: -3, -3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -943, -2627, -6965, -15283, -28907, -49163?\nAnswer: -77377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4*l = 64, 567*w + 2*l = 563*w - 66 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u + 3. Let a be q(2). Let o = 10 + a. Solve o*c - 5 = -t + 15, -3*c - t = -10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttaaqtakoot. Give prob of picking 2 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 342\/11 greater than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = v - 2*v - 4, v + 4 = -5*r. Find the common denominator of 59\/14 and 62*v\/(-112)*-3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (200\/35)\/4*98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - ((5 - -10) + -33 - -56)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1616 is divided by 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -0.5, -1.13, 8, 0.043, -4 in decreasing order.\nAnswer: 8, 1\/5, 0.043, -0.5, -1.13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 4*y + 4, 3*j + 5*y = -2*y - 7 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 7 + 34)*(5 - 4 + 1)*(1 - 1 - 4*b**5).\nAnswer: -120*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((99\/(-11))\/(-3))\/((-2)\/4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -2*f - 53, 0 = 4*p - 852*f + 857*f - 18 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 11:40 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-36)\/j)\/j**(5\/2))\/(j**17*j**16) assuming j is positive.\nAnswer: j**(-145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (sqrt(208)*-1 - ((sqrt(13) - (sqrt(13) + sqrt(13) + 4 + sqrt(13)) - sqrt(13)) + sqrt(13) + -2)**2) + 3).\nAnswer: 168 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8*x - 8 = 10*x, 4*r + 3*x = -10. Let w = 797.4 - 797. Let i = -0.04 + 2.04. What is the closest to r in i, -17, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.301 - -9.301. Let c = 6.85 + 2.05. Let k = 9 - c. Is k at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + x + 1. Let k(d) = 5*d**2 + 5*d + 5. Give 5*f(o) - k(o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 42 = -2*f, 32*f + 444 = 10*f + 2*o for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 0 + 0)*(-4*i**3 - 32*i**3 + 64*i**3 + (3*i + 0*i - 4*i)*(0 + 0 - i**2)) in the form a + l*i + b*i**4 + v*i**3 + f*i**2 and give b.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -7\/6*g**3 - g**2 + 0 + 2\/3*g**4 + g - 1\/20*g**5. Is v(6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 16*l**3 + 10*l**2 + 22*l - 4. Let x(r) = -7*r**3 - 5*r**2 - 11*r + 2. Give -4*j(b) - 9*x(b).\nAnswer: -b**3 + 5*b**2 + 11*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/55750 and 107\/43931000.\nAnswer: 43931000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 85*w - 1446. Let t be h(17). Sort 5, t, 20, 10 in increasing order.\nAnswer: t, 5, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55\/44 + (-3319)\/(-4) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.17841613 or 0.1?\nAnswer: 0.17841613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 25. Let z(b) = 13*b**2 - 7*b - 15. Let v(m) = -7*m**2 + 4*m + 8. Let y(r) = r**3 + 9*r**2 + 14*r + 6. Let w be y(-7). Determine k*v(p) + w*z(p).\nAnswer: p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336716 to the power of 1\/2, to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.054 + -4.054. Let n = 19.93 - -0.07. Let q = -25 + n. Which is the nearest to 2\/7? (a) z (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 + -1.85. Let i = k + 0.05. Let c = -0.7 + i. Is 1 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2030 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o**2 - 3. Let u(f) = 176542*f**2. Give x(u(c)).\nAnswer: 249336622112*c**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1)\/((-3)\/(-72)). Suppose 3*f - s = 6. Suppose -i + 4*o + 9 = -5, 0 = 3*o + 3. Is i bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/55*70\/49.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5 - 2 + 8*s in the form a + j*s and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/(7\/(-63)). Let z(r) = 3*r + 21. Let m be z(n). Suppose -a - m*g + 5*g + 23 = 0, 5*g + 25 = 0. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - (-5*sqrt(170) + sqrt(170)))*-5 + sqrt(170) + sqrt(170))*2)\/(-1*sqrt(1440) + sqrt(10) + sqrt(120)\/sqrt(3)).\nAnswer: 46*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1238 - 605. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 5*w - 25 = 0, -4*l + 2*w = 442. What is the common denominator of -3 - (656\/l)\/4 and 34\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -5. Let o = 29 + -29.1. What is the nearest to o in 3\/7, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 19 = -6*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 4*a + 8. Let c be u(0). Let h = -13 + 7. Let g = h + c. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -20*c - 132, 0 = c + 250 - 243 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 10:46 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/27*1)\/((-48)\/(-18))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72975 = -1151*w - 419*w - 515*w for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 16 = -u, -y = -2*u - 24. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 44 = -x + 4*r, r = -x + 9. What is the greatest common factor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/((((o**(-3)*o)\/o*o)\/o)\/o)*o*o)**(-2\/41))**(2\/21))**(-3\/11))**(-1\/58) assuming o is positive.\nAnswer: o**(-16\/91553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 20*d**2 - 18*d + 21. What is the units digit of t(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 2*n + k - 2*k, 0 = 3*n + 5*k - 167. Calculate the highest common factor of n and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 323.2?\nAnswer: -323.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.226t in milligrams?\nAnswer: 107226000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 + 554*w\/3 + 548.\nAnswer: 2*(w + 3)*(w + 274)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 = 6. List the prime factors of -64*(1 - x\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:02 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 892291*k\/2 - 371790.\nAnswer: (k - 148716)*(6*k + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v + 8792 = 21*v + 84*v for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/7 + ((-10496)\/112)\/(-16). Solve j = b - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 24 = -2*r, -5*x - 9 = -2*r - 0*x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*v**4 + 3*v**3 + 0 - 6*v**2 + 4*v.\nAnswer: -v*(v - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-86)\/(-4) + (-5)\/10 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/14 - (-23)\/((-552)\/(-144)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -55. Let o be (-4)\/38 + 40\/380. Solve o = 3*w + w + k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-468390)\/(-50442))\/((-5)\/14)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/117364 and 39\/45140?\nAnswer: 586820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 6 = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2. Let u(f) be the second derivative of -2693*f**4\/12 + 118*f. What is u(y(k))?\nAnswer: -2693*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 889237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/11 + (-707)\/(-77). Let z be b + -11 + (-6)\/(-4). Suppose 8 = -7*k + 5*k. Is k > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:35 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1897*k = -830*k - 705*k + 16652 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g + 7. Let m be ((-1)\/((-9)\/(-213)))\/(g\/3). Which is greater: 69 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*277868.61.\nAnswer: -3056554.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 453366 to the power of 1\/2, to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 186752 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 128560602?\nAnswer: -128560598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15751 - -15748. Which is the smallest value? (a) -0.2 (b) z (c) 44.1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314100020 a multiple of 3796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2979549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:05 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.031, 15, -3 in descending order.\nAnswer: 15, -0.031, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000503189668 to 7 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8*m = 0. Suppose m = a + a - 2. Let c = 1 + a. Sort 1\/5, c, 4\/3 in ascending order.\nAnswer: 1\/5, 4\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*b**3 - 2229496*b**2 - 3*b + 256901747 wrt b.\nAnswer: 27*b**2 - 4458992*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*y + 62*y + 64*y + y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (-38)\/(-14) - (-36)\/(-315). Which is smaller: -0.054 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/9)\/((-2)\/(-6)). Suppose 75 + 165 = 24*w. Is t\/w*130\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 247815*v - 17099227. Determine b(69).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/332 and (-2 + 25\/14)*2926\/(-76).\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 26*w + 136 = 0. Let m = 38 + w. Solve 15 = m*g - g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10236023 is divided by 2047198.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/(-4))\/3)\/((-48)\/64)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 3 + 106525*h**3 - 106537*h**3 + 7.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 8030*b + 3065625.\nAnswer: 5*(b + 625)*(b + 981)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8*(-23 + 19). Which is smaller: -4\/21 or z?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1560.5716 + -1667.57. Let o = -107 - i. What is o rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1320 less than -58783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.941895 months?\nAnswer: 0.00082849125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(0 + sqrt(1872)) + -1 + sqrt(1872) + 0)*-5*4.\nAnswer: -1200*sqrt(13) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/((-1600)\/28)*576\/378?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 2\/(-2)*4. Let y = -7 + r. Suppose 3*p - 3 - 12 = y. What is the greatest common divisor of 10 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 16*o + 11*o = 39, -4*o - 4 = l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.36 + -100.36. Which is the nearest to 1? (a) f (b) 5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 81 - 3*l - 164.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1198 = 4*g - 706. Let z = 431 + g. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j, f + j + 3 = -0*f. Suppose 2*z - 6 = -0*z, 0 = 2*k - 3*z - 7. Let w be -4 + (-2 - k\/(-2)). Which is bigger: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6807129 from 0.034747.\nAnswer: -6807128.965253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 197306521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4005 = 7*n + 4348 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -71, -376, -891, -1622, -2575?\n\"Answer: -i**3 - 99*i**2 - i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, y: 2}. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 27. Suppose 2*h = -n - n + 34, -3*h + v*n = -37. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdzcdzxzdcddcdzjdc. What is prob of sequence zz?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*u - 14554 = -1301 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 3*w**6\/40 + w**4\/24 + w**2 - 1022*w. Determine z(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dororonodrnoodoo. What is prob of sequence nrdn?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 2*o - 4. Let s be m(0). Let d(n) = 7*n**2 + 7*n - 9. Let p(j) = 10*j**2 + 10*j - 13. Let v(a) = 7*d(a) - 5*p(a). Give v(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 0, -1\/105, -0.4.\nAnswer: -9, -5, -0.4, -1\/105, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 28 - 40. Solve 4*z = b - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378185447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 7*y**6\/480 + y**5\/240 - 7*y**4\/96 - y**3\/24 + 18*y**2. Suppose f(x) = 0. What is x?\nAnswer: -1, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + -18 - 0) + 2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 7*w + 3. Calculate q(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 13664.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -678913326 divided by -13\nAnswer: 52224102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 186914504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 1\/336*a**8 + 2*a**2 + 0*a**6 + 0*a + 0 + 0*a**7 + 1\/12*a**4 + 0*a**5 + 0*a**3. Find the second derivative of k(t) wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1135 - l**3 - 1140 - 15*l**2 + 3400 - 1136. Give b(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 7341*k = 7350*k - 62, -2*z - 34 = -3*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 4*i**2 + 3*i. Let t(n) = -n - 11. Suppose -2*u + 2 - 14 = 0. Let z be t(u). Let q be r(z). Solve -q = -5*o, 4*o = -5*d + o - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(7 + -5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7345*c - 16234*c - 617*c + 1669524 = 0 for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 241 + -241.5. Which is the closest to 1\/2? (a) 0 (b) 2 (c) h (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -215, -194, -173?\n\"Answer: 21*l - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1. Let y(a) = -a**3 - 2*a**2 + 2*a + 3. Let c be y(-2). Let m(j) = 5*j - 8. Let x(n) = c*m(n) + 3*w(n). What are the prime factors of x(-6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnrfrbnnnbfej. What is prob of picking 1 b, 1 r, and 2 f?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 16*c + 7. Give p(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.643 + -5.873. Let x = -4.696 - c. What is x rounded to two dps?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/43285989 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((-179)\/(-6))\/((-2912)\/1344)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -2 - (-22)\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-931)\/(-1995)*(-5)\/35.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5 + 31. Let o = -2200 - -2239. What is the greatest common factor of q and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*u - 401 - 400 = 277 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x + 7*x + 8*x - 21*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 4 = 7*l - o, 12*l = -o + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/1696*(-15)\/75. Is t greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3\/9 + 52*f**2\/9 + 172*f\/3 + 160 = 0.\nAnswer: -40, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a1b7 + -a?\nAnswer: -a1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -57 - 2248. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 7*i + 4. Let o be v(6). Let x be -2 + ((-6)\/o - -2). Let s be (x\/2)\/((-1)\/(-2)). What is the highest common factor of 21 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*b**2 + 43*b\/3 + 2\/3 = 0. What is b?\nAnswer: -2\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110 and 618.\nAnswer: -67980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 36871*s - 405607. Give v(11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 816627 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -272*i**2 + 139*i**4 + 144*i**4 + 274*i**2 - 1391*i wrt i.\nAnswer: 3396*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39260880461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -486 or -459?\nAnswer: -486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/15*16\/(-10)*(0 + -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3) - (-100)\/15. Suppose 0 = s*i - 0*i. Suppose -9*z - 9 + 27 = i. Solve 2*t - 3*y + 9 = 5*t, 0 = -z*t - 4*y + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -1\/4 (b) -5 (c) 16392\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 9:00 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26\/57? (a) -2\/5 (b) 120\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4789 is divided by 365?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011019 is divided by 1062?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 0 - 5)*(-421*y - 2*y**2 - 857*y - 627*y) in the form j + a*y**2 + c*y and give c.\nAnswer: -3810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 631.744511 + -637369683.744511. Let l = o + 637369076.00000065. Let r = 24 - l. What is r rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51933007 is divided by 610976?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v - 7. Let r be p(-4). Let o be 21\/r - (-4)\/4. Let s(a) = -a**3 + 4*a**2 + 4*a + 5. Let u be s(5). Which is bigger: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*s**3 + 508*s**2 - 4*s + 809071.\nAnswer: 102*s**2 + 1016*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/49*7*(3293\/1335)\/(1\/5).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 + 2*a**2 + 181*a + 3. Let x(i) = 12*i**3 - 6*i**2 - 541*i - 8. Let m(l) = -8*v(l) - 3*x(l). What is the second derivative of m(k) wrt k?\nAnswer: -24*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62 and 341?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4022173t to milligrams.\nAnswer: 402217300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**3\/3 + r**2\/2 + r - 38. Let s(l) = 12*l**2 - 5*l - 5. Give -s(d) - 5*t(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**3 + 2*i**2 + i - 2. Let o be w(1). Let q = -278 + 277.98. What is the nearest to 0.1 in q, o, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from {d: 2, l: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/4 - (-46)\/8. Suppose -4*k + b*k = 0. Solve k = -2*c - 8 - 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -7.7. Let d = m + 0.2. Let f = d + 0.1. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36980.47 hours in milliseconds?\nAnswer: 133129692000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -12 (b) 7.086 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16884405547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**2 + d**3 - 29*d**2 + 13*d**2 + 16 + 3*d + 14*d**2 + d. Determine f(6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-2)\/6 - 25\/15. What is the common denominator of -3\/22 and 4\/(-16)*(-77)\/b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -6 - 8 - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.57 and -0.8.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let s(w) = 1076*w**2 + 3*w. Give i(s(g)).\nAnswer: 1076*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 5*r + 2*r)*(0*r + 2*r**2 + 0*r) + 703*r**3 + 32957*r**2 - 32957*r**2 - 5 + 5 - 2*r**3 - 3*r**2.\nAnswer: 697*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + n - 101 = -n, 0 = 5*f - 5*n - 185. What is the units digit of (-10)\/f - 2579*(-9)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2 - 2*c + 6. Let l(i) = 2*i**2 + 2*i - 7. Determine -4*l(n) - 5*u(n).\nAnswer: 7*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 2 (c) 0.05 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-20))\/((-240)\/150).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 1. Let g(h) = -7*h - 10. Let u(y) = -10*y - 11. Let i(q) = 6*g(q) - 5*u(q). Calculate -2*i(m) + 9*l(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 2. Let s be r(-2). Let i(k) = 2*k**2 - 17*k + 53. Let x be i(9). Let a be x\/11 - 644\/92. Which is smaller: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 184*w - 264. Determine h(2).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -865*r - 714*r + 645*r to the form q*r + n and give q.\nAnswer: -934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 0*w**4 + 0*w + 0*w**3 + 2*w**2 - 4\/5*w**5 + 1. Find the second derivative of t(h) wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 38*l + 740. What is k(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -114263 + -5?\nAnswer: -114270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005674 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 5*g + 6. Let s(o) = 5*o**2 - 10*o + 13. Let r(y) = -6*s(y) + 13*v(y). Let w be r(-2). What are the prime factors of (16\/w)\/((-11)\/132)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - 2*f + 2*f + (3 - 7043*f + 7048*f + 3)*(8*f + 3 - 3).\nAnswer: 41*f**2 + 48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.7707364 and -7944827?\nAnswer: 7944828.7707364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 14. Let n be (80\/(-24))\/((-4)\/6). Suppose -2*j = 3*z - 8 - 0, 0 = n*z. Solve -2*s - 3*l = -8*l - 6, 2*s - u = j*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 + 137062784*r\/9 + 2348275844728832\/9.\nAnswer: 2*(r + 34265696)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25996628\/8751 + 108\/2917. Is -2970 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(95) - (sqrt(95) + sqrt(95)*-1)) - ((sqrt(95) - (5*(sqrt(95)*-4 - sqrt(95) - sqrt(95)) + sqrt(95))) + sqrt(95)))\/(sqrt(160)\/sqrt(8)*-1*-4).\nAnswer: -7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11790661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5))\/k*k**(-3)*k**(-1\/5)*k**(2\/9) assuming k is positive.\nAnswer: k**(91\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + (sqrt(91) - (sqrt(91) + 4*sqrt(91) + sqrt(91))))*3)\/(1*sqrt(14)\/sqrt(2)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three thirds of a day?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3012624 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*n + 5*g, -4*n = -2*n - 5*g - 24. Suppose n*l - 19 = q + 6*l, l + 7 = 2*q. Let x be (1\/2 - q)\/((-8)\/48). Solve 3*a - 6*a + x = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.29935 rounded to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7623*z - 53598. What is u(-7)?\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 58 + 148. Let s be (-1)\/(6\/(-290))*x\/6. Let p = 247 + s. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**5 - 3850193*x**4 + 12600*x**2 + 2*x - 26?\nAnswer: 120*x**2 - 92404632*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2800603409?\nAnswer: 17, 164741377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 39, 0 in decreasing order.\nAnswer: 39, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-2 - -3)*-1. Let c be (-2)\/((24\/508)\/r). Is c\/(-4)*1*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53725.\nAnswer: 5, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331 (base 4) in base 14?\nAnswer: 8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3) - (-225)\/(-27))*(-10)\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0. Let s = -0.08 - 1.92. Which is the biggest value? (a) s (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 - 2. Let t = -259 + 369. Let f = 109.9 - t. Which is the nearest to 0.1? (a) f (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from tyitiytsyikykyys?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + -1. Let w = 11 - 10.95. Let g = w - 1.05. Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z + 2. Let u(v) = -3*v - 2. Let i be u(-2). Suppose 3 = i*n - 2*l + 5, -n = -4*l - 10. Is y(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2 + (sqrt(288) - (sqrt(288) + 1))**2 - 6*(-1 + sqrt(288)))*-5)*1*-2.\nAnswer: -720*sqrt(2) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -31637, 1 in increasing order.\nAnswer: -31637, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 12 = -4*i. Suppose w - 2*f = 3*w - 38, 0 = -i*w + f + 45. Calculate the remainder when w is divided by 6 - -2 - 8\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -814*f*s**2 - 1772*f*s - 22*s**2 + 2*s + 1 wrt s.\nAnswer: -1628*f - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 14*h. Let r(n) = 3*n**2 + n - 2. Let p(m) = -m**2 + m - 2. Let b(v) = -3*p(v) + 3*r(v). What is b(o(x))?\nAnswer: 2352*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 0, -4, -8, -12?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 5. Let w be b(7). Let g(z) = -z**2 + 7*z - 7. Let u be g(6). Put w, u, 0 in descending order.\nAnswer: 0, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2842*a - 657 - 183*a + 1020*a**2 - 308 + 1616 - 5*a**3 + 1359 = 0. What is a?\nAnswer: 1, 2, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12780722, -25561442, -38342160, -51122876, -63903590, -76684302?\n\"Answer: q**2 - 12780723*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 0 - -1)*3. Let l be -1*(-6)\/(w + -1). Let o be 0\/(0 + -2) + l. Let u(h) = 4*h**2 + 3*h - 3. Let m(r) = -5*r**2 - 4*r + 4. Give o*m(i) + 4*u(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:15 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4047 and 1052433.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1\/7, -65, -5, 1?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - -2 - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 - 24*d + 27. Let g be p(14). What is the greatest common divisor of g and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10\/3, -1\/10, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 201 - 8?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 14) in base 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 2*x**2 - 4*x)*(-2*x + x + 0*x) - x**3 + x - x - 48*x**2 + 48*x**2 - 5*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41909940 and 1890.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.8893 + 0.0893. What is the nearest to 1\/4 in -0.1, n, 4\/13, 2?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - -4) + (-6 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-6 + 8)) + -6 - -291607. Round y to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 27, 26, 25, 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*q = 1605 + 995, 7*v - 3552 = -4*q. What is the remainder when v is divided by 213?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 2 + 11 - 4*i)*(0*i**3 + 0*i**3 + 2*i**4).\nAnswer: -8*i**5 - 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**5\/7 - 1191156*y**4\/7 + 22630656*y**3\/7 - 40496720*y**2\/7 = 0.\nAnswer: 0, 2, 17, 297770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 9:58 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tat when three letters picked without replacement from {e: 6, a: 9, t: 2}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 364499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/2763 (b) -1\/11 (c) 0.0743 (d) 0.2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100579441 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*h - 2*h - 4*h)*(2 - 10 + 0)*(4*h - 3*h - 2*h).\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 21*g + 5. What is p(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10257533 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 7 = 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -476 - -822. Let z = -347 + q. What is the smallest value in 7, 5, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m + 188. Let f be x(0). Suppose -4*k + f = 4*g, 4*k + 3*g - 96 = 2*k. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.68 and 5441723126.\nAnswer: 5441723127.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 433542139 to the power of 1\/3, to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -74, -4, 2\/19, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1222 and -15\/26?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1305*m + 1303*m - 1 - 2589*m. Calculate l(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144726603 a multiple of 928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.1, 26, -0.2, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v - 3*w + 5, -v + 1 = w. Let a be ((-6)\/(-3))\/(10\/15). Suppose -2*k + 26 - 10 = -4*r, -5*r - 20 = a*k. Sort r, -16, v in ascending order.\nAnswer: -16, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*l**2 + 93 - 62 - 30.\nAnswer: -56*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119.84 - -119.94. Let d = 0.034 + -4.134. Sort l, d, 4\/3 in decreasing order.\nAnswer: 4\/3, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -5, 3, 1 in decreasing order.\nAnswer: 16, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -95 in -326, -67, 2\/3?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.158 times -52.8\nAnswer: 8.3424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64530 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 17, 42, 87, 158, 261?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**2. Let k be (-2 - -8) + 8975\/(-1500). Let r(g) be the third derivative of -6*g**2 - k*g**5 + 0 + 0*g + 0*g**3 + 0*g**4. What is f(r(j))?\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30324 - (1\/(-1) + -4). Suppose -3*p - 10*p = -c. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -244167620?\nAnswer: -244167621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/90 and 3\/391550.\nAnswer: 3523950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-3 - -2) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -18*r + 23*r + 6, 5*r + 12 = -u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46 + 3*g**2 + 12*g**4 - 46 + (5*g + 8 - 8)*(3*g**3 + 3*g**3 - 9*g**3) + (0*g + 0*g - 2*g)*(-g**3 + g**3 - 2*g**3).\nAnswer: g**4 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640 - 640 - 431*j.\nAnswer: -431*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 3 - 16\/6. What is the closest to 3\/7 in j, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 - x**3 + 2*x**3 - 3*x**3 + 47 - 2*x**2 + 0*x**4 + 3 in the form r*x**2 + f*x**3 + n + m*x**4 + j*x and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -227\/4. Suppose -x + 5*x - 124 = 4*z, -3*x = -z - 41. Let q be z\/5 - 11\/(-55). Which is the nearest to -2\/11? (a) d (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 28 = 2*a, -3*a = 2*a + 5*l + 40. Let g(k) be the first derivative of -7*k**2\/2 - 15*k - 41. What are the prime factors of g(a)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 35 = 20. Let b(l) = 4*l**2 - l. Let w be b(1). Solve z*s = -w*f + s, 0 = 4*f + 3*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 97?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 57\/9 + 84\/(-63)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12240525 (base 8) to base 12.\nAnswer: -aa4785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -0.092?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*w - 10. Let g be 5\/(-13)*2\/w. Let p = 1063 - 1063.2. What is the nearest to p in g, -1\/7, 2\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (16585058\/49 - 0) + (-9)\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -7)*25\/(-25). Suppose -r = b*r. Suppose -286 = -3*j - r*v + 2*v, 3*j - 293 = -5*v. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2860? (a) -3 (b) 0.3 (c) -0.5 (d) 9 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(100)\/sqrt(5) - (sqrt(80) + -2).\nAnswer: -2*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 1\/5*r**2 - 22 + 17\/5*r = 0.\nAnswer: -22, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 251 and 87599?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1160*r + 94 + 96 - 190.\nAnswer: -1160*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n**3 + 3*n**2 - 3*n - 3. Let k(v) = 20*v**3 + 8*v**2 - 8*v - 8. Suppose -22 = 3*d + 5*o - 4*o, 2*o - 12 = d. Determine d*w(y) + 3*k(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1712 + -1700. Suppose 2*d + 76 = 4*f, 0*d + 5*d = -f + 8. Calculate the greatest common factor of h and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/(-8))\/((-1)\/4). Suppose -16*v + s*v = -33. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.197404 weeks in seconds?\nAnswer: 2538589.9392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + (sqrt(72) + 2 + sqrt(72) - sqrt(72))**2 - (sqrt(8) + sqrt(200))\/sqrt(4).\nAnswer: 24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/2 + 63*f**2\/2 - 37*f - 1464 = 0. What is f?\nAnswer: -6, 8, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*a + 71*a - 25. Solve 1 = -5*k + a*o + 26, 0 = -2*k + o + 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 12 = -9. Let q(o) = o**2 + 7*o - 7. Let f be q(k). Let j(d) = 4*d + 1. Let u(t) = -9*t - 2. Give f*j(b) - 3*u(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 112 = -17. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Let q be f\/6 + 2\/(-6). Solve q = 2*x - 4*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/10)\/((-6)\/(-21260)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 284, 219, 152, 83, 12, -61?\n\"Answer: -a**2 - 62*a + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -150, -301, -438, -555, -646, -705?\n\"Answer: s**3 + s**2 - 161*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:00 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 808 + 17*x - 803 + 82*x**2 - 80*x**2 + 39*x**4 as b*x**3 + v*x**4 + q*x**2 + y*x + l and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (2 - -11 - (-34 - -21 - -31)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 0 - (-3 - (-64)\/20). What is the nearest to 0.16 in 4, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, -396, -1573, -3866, -7647, -13288, -21161?\nAnswer: -31638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13131?\nAnswer: 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1101753 + -467614. Suppose x = j + 2*x, j - 5*x = 24. Suppose 0 = -j*y + 5861 + z. Round y to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/5 - 1816*j**3\/5 + 826274*j**2\/5 - 1639856*j\/5 - 2467947\/5.\nAnswer: (j - 907)**2*(j - 3)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -597786.7 times -0.5\nAnswer: 298893.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*c + 7 = 105*c - 1, -25*x + 15*x = 3*c + 98 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 81.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 + 2*f**3 - 3*f**2 + (-2*f + 2 - 2)*(-2*f + 2*f - 2*f**2) - 2*f**2 + 2*f**2 - 2*f**3 + (-4*f + f + f)*(2*f**2 - 4*f**2 + 3*f**2)*(-1 + 1 - 4).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 - 0.07. Let i = a + 0.0300016. Round i to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3335 and 2070.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*i + 1206095 = 294*i. Is 47 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**4 + 702304*a**3 - 41192309448*a**2 + 812339210540672*a - 306684856226630420 = 0. Calculate a.\nAnswer: 385, 58397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/539755 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25a - 14806?\nAnswer: -14579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in -1\/2, -4, 3, 0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 i when four letters picked without replacement from {i: 7, k: 1, o: 2, q: 2}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*6*-4 + 5*(sqrt(605)\/sqrt(11))\/sqrt(5).\nAnswer: -67*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z - 1. Let r(i) = 4 - 12 + 4 + 8*i + 5*i - i**3 + 4*i**2. Let k be r(6). Calculate d(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18260 = -958*l - 86278 for l.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1983*a + 10105. What is t(5)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1288 divided by -4\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3207, -6914, -10621, -14328, -18035, -21742?\n\"Answer: -3707*j + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/336 - 248\/(-2688)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10010588, 10010576, 10010550, 10010504, 10010432, 10010328, 10010186, 10010000?\nAnswer: 10009764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 17 = -5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420) + -2*sqrt(420) - sqrt(420))\/sqrt(10)*2)\/(sqrt(726) + 3*sqrt(726)*1 + sqrt(726)).\nAnswer: -4*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2) + 16\/4. Suppose -q*l + 4*v + 745 = 0, 3*v + 353 + 244 = 4*l. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/16)\/((-165)\/(-88)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.7 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.483 and -3?\nAnswer: 11.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 49*h - 5. List the prime factors of o(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783310 is divided by 891596.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109918 + -109916. Suppose 6*i = 2*i - 2*b + 12, 2*i - b - 2 = 0. Suppose m = -i*m - 48. What is the biggest value in 0.5, -2\/9, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1656 + 828 + 827 - 28*s**2 + (-2*s**2 + 0*s**2 + 4*s**2)*(-1 - 1 + 3) + 5 + 2*s**2 - 5 in the form y + r*s**2 + a*s and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3 + (-2 + 2 + 2)*(2 - 4 + 0) - 3 + 1 + 1)*(b + 2*b - b) + (-2*b + 1 - 1)*(1 + 2 - 2) - 807*b - 89 + 89 to s*b + j and give s.\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.8 + -0.8. Let w = 4 - 7. Let j = q + w. Which is the third smallest value? (a) 2 (b) 6\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001448211717 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 21 + 30 - 6 + 15*t**2 - t. Let j = 67 - 34. What is the remainder when j is divided by v(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123264898130293 + 0.\nAnswer: -123264898130293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 249053206*v**2 - 8 + 249053172*v**2.\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -196 and 1261.017.\nAnswer: 1065.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n - 2*b = 1634, -5*b - 1215 = -3*n. Suppose 403*l - n*l = -1617. Is l a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13369 + 6.49069. Round y to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztwzkt. Give prob of picking 2 z, 1 w, and 1 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -51 - ((8 - 11) + 14 - (1 - 2)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 205\/2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709400019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*-1 - sqrt(132))*1 - (sqrt(132) + -1*sqrt(132) - sqrt(132))*-6)*-3)\/(-2*sqrt(1728) + (sqrt(84)*-1 - sqrt(84) - sqrt(84))\/sqrt(7)).\nAnswer: -8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782 greater than or equal to 19472\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -565 - 1279. Round g to the nearest ten.\nAnswer: -1840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21*20 - 4256\/(-266). What is the highest common factor of u and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -985*l - 989*l + 1857*l + 10 + 10 - 20.\nAnswer: -117*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-38808)\/3696)\/(-7*1)*248\/(-6)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87 - -30) + 92 - (-10 + 1 + 2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3596947*j**3*t**2*x + 234047*j**3*t*x - 2*j**3*x + 2*j**2*t**2*x wrt t?\nAnswer: 7193894*j**3*x + 4*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1643367884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*d = -2*d + 44, 1 = -d. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f. Let m(h) = -h. Let c(o) = -6*i(o) + 26*m(o). Let w(l) = -53 - 2*l - 44 - 71 + 113 + 0*l. Give c(w(t)).\nAnswer: 4*t + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/7 and -81\/52256?\nAnswer: 365792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/6 (c) -0.5 (d) 5440\/3 (e) -37 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 146 - 0?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 561*b + 10*b**4 - 528*b + b**3 - 12*b**4 - 8*b**2 to the form k*b**2 + x*b**4 + l*b**3 + f*b + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(90)\/(-3*sqrt(3)) - sqrt(30))*-4)\/((sqrt(450)\/sqrt(9))\/sqrt(5) - sqrt(540)\/sqrt(6)).\nAnswer: -40*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 39366.\nAnswer: 39366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*s, 5*m - 10 = 2*m - s. Let h(t) = 1 - 4*t + 3 + 9*t. Is h(m) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 6440658.\nAnswer: 57965922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11 - 11 - 2*o. Is m(-1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 6:25 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 3:10 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:55 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3198693*p**3 + 6*p**2 - 124587.\nAnswer: -19192158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 1. Let d be c(6). Is 10 a factor of (56\/10)\/(d\/(-25))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 4*y - 3*y)*(4 + 0 - 2)*(3 + 1 - 2)*(-129 - 189 - 93)*(0*y**2 + 0*y**2 + y**2 + (1 - 1 - 2*y)*(2 - 2 - y) - 3*y**2 + 4*y**2 - 3*y**2).\nAnswer: 4932*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m + 14 = 4*q, -5*q - 2*m + 22 = 0. Suppose -u = -5*u. Suppose -2*c + c = u. Solve -4*l = -c - 8, -q*d + 4*l - 24 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*1*sqrt(147))**2.\nAnswer: -42*sqrt(3) + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 2*r + r = 0. Suppose -k - 105003 = -5*u - 0*k, -u + k + 21003 = r. What is u rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(432) + 1)**2 - sqrt(3)) + 3.\nAnswer: -430 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 3*d + 3. Let b be o(4). Let u be (b - -1*6) + -1. Find the second derivative of -2*c + u*c - 3*c - 3*c**3 wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 12:14 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -112 in -4, 1, 0.89, 0.4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 20*g - 41. Determine k(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1250)\/1650 + (-2)\/(-3). Let z be (13 + 1)*16\/56. Suppose 15 = 3*t + 5*p, 3*t - 3*p + 5 = z*t. What is the second biggest value in t, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4135, -16506, -37139, -66040, -103215?\n\"Answer: -a**3 - 4125*a**2 + 11*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 4*r - 2. Let y be f(-2). Let s be ((-3)\/(-1))\/(4 - 42\/12). Factor s + 36*n**2 - n**2 - y*n - 8*n**2 - 31*n.\nAnswer: 3*(n - 1)*(9*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*-3*(5802\/(-12) + -6). Suppose -o = -8*a - 1250. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 15*p - 6. Let r be y(15). Which is the nearest to -2? (a) r (b) 3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(36))\/sqrt(3).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3022 to 2 dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bc - 4?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/16*(-1)\/(-2)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4585, -4579, -4573?\nAnswer: -4567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 2*y + 33. Let x = -136 - -322. Let u = x + y. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26196 + 581a?\nAnswer: 30a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -15. Let y be (2 + 2\/(-2))*1. Let h be (16\/2 + b)\/y. Solve 2*w = 4*w - h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3, 8*q + 12 = 3*x + 12*q. Solve 25*r + r + 78 = x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k**(-5)\/k)\/k))\/k)\/k)\/k)**31\/(k**(-20)\/(k**(-25)\/k)) assuming k is positive.\nAnswer: k**149","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*z = 748*z - 314*z + 1728 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1326 divided by 8\nAnswer: 663\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1105 + 706. Let l = -9749 + 10140.76. Let n = x + l. Round n to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.05, 5, 2, 0?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 625, 616, 611, 610, 613, 620, 631?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. Let l(s) = -4*s. Let y(u) = 2*l(u) + 10*m(u). Let t(g) = g**2 + 9*g + 11. Let z be t(-8). Let w(i) = 6*i**2 + z*i - 3*i. What is y(w(j))?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from raalkajlallakkl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 6. Let t(z) be the third derivative of z**4\/12 + 5*z**3\/6 - 7*z**2. Determine -4*t(o) - 3*y(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 1 - 2 + 2 - 1 + (4 - 2 - 1)*(-2 + 3 + 0))*(-2*d + 2*d - d)*(5*d - d - 2*d) as p*d**2 + t + x*d and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -3\/5 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -20.1, 34.\nAnswer: -20.1, -1\/4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 11*z + 43. Let t = 15.81 - -0.19. Let v = 13 - t. Which is the nearest to v? (a) z (b) -1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20439593*-2.\nAnswer: 40879186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3914, 3536, 3158, 2780?\n\"Answer: -378*x + 4292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z. Let v be j(-4). Suppose -k - k - 12 = 5*g, 0 = k - 4*g - 20. Suppose 92 + k = v*f. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {t: 2, p: 1, o: 1, w: 6, c: 4, b: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3 + 5540*b**2 - 92*b - 44125656.\nAnswer: 6*b**2 + 11080*b - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9463 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a centimeter in micrometers?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r - 28 = -25*r. Let p be 2 - (2*-1 + 4). Suppose 4*y + p*g - 35 = -3*g, g - 41 = -5*y. Solve 2 = -u - 5*f - y, -2*u - r = 2*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 20*j + 10. Let g be x(19). Put g, -4, 0 in ascending order.\nAnswer: g, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232 is divided by 241?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5 = -0*b - b, -b - 15 = -5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1905 and 12920.\nAnswer: 4922520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -174*c + 59. Is s(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 6*l + 1. Let k be h(-5). Let r = 23 - k. Solve 5*g = -r*c + g, -3*c + 4*g = 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 9*j + 9*j - j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 85704782 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from {t: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 71.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8263, 16604, 24945, 33286, 41627?\nAnswer: 49968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 9:05 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 8:38 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -188, -606, -1258, -2138, -3240?\n\"Answer: k**3 - 123*k**2 - 56*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) -1780 (b) 2\/699 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 7. Let f be 6\/(-4)*115*b. Suppose 3*v = -0*v + f. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 77. Let o = -130 - -122. Which is the closest to o? (a) -1 (b) -1\/10 (c) -0.3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from orxrq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-3))\/(435\/58)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 18190 = -r. Let f = -26892 - -9097. Let w = r - f. What is w rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x**4\/13 - 1175034*x**3\/13 + 43140711638*x**2\/13 + 463901681730*x\/13 - 118671696550\/13 = 0 for x.\nAnswer: -11, 1\/4, 73445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15\/16 - -7\/16. Let v = -2091 + 27185\/13. Which is the nearest to j? (a) -0.4 (b) -0.9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, v: 1, a: 1, e: 1, p: 1}. What is prob of picking 1 q and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, -162, -6, -3 in ascending order.\nAnswer: -162, -6, -3, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 53. What is the second derivative of -20*h**5 + 7*h**5 - 24*h**5 + d*h wrt h?\nAnswer: -740*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 + 2 = 4*f, 5*t - 18 = -f. Let o = -1942 - -1939. Let v be (-7)\/((-70)\/24) - 2. Which is the closest to v? (a) t (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/5 - 1\/5. Let q(h) = h**2 + 0*h**2 + 11 - 6*h**2. Let t(a) = -a**2 + 2. Let o(c) = v*q(c) + 11*t(c). Let i(k) = k**2. Determine o(i(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1401*x + 28891 + 34154 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4714.28 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qozvqbj. Give prob of sequence joqz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -256802*w**3 - 82228*w**2 - 2*w wrt w.\nAnswer: -1540812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 1. Let l = -26 + 16. Let t be s(l). Solve 5*d + 6 + t = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 39*p = -32*p - 65 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, i: 3, p: 2, l: 4}. What is prob of picking 1 l and 1 t?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6825, 6829, 6833?\nAnswer: 6837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 41. Suppose -2*o + 16 = l*g, -2*o = -6*o - 2*g + 26. Let j(b) = b + 23. Calculate the smallest common multiple of 2 and j(o).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 - x - 1. Let u(g) = 7*g**3 - 15*g**2 - 3*g + 85. Let m(f) = 3*t(f) - u(f). Let r(s) be the first derivative of m(s). Factor r(j).\nAnswer: -3*j*(j - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 + 165 = -b + 16*k, 14 = 2*b - 2*k for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/276)\/((-18)\/(-12))*-6.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**3*j**2 - 56*c**2 - 48*c*j - 5*j**2 wrt c.\nAnswer: -18*c*j**2 - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 = -j, -2*j + 5*i - 25 = -23. Let v be (0 - 1) + -3 + 2. Put j, v, -5 in descending order.\nAnswer: j, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2614630, -2614675, -2614748, -2614849, -2614978, -2615135?\n\"Answer: -14*b**2 - 3*b - 2614613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.46 - -0.25. Let m = i - 3.79. Put 0, m, -1.2 in ascending order.\nAnswer: m, -1.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**5 - 149620*k**4 + 448896*k**3.\nAnswer: -4*k**3*(k - 3)*(k + 37408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*j + j + 10, 0 = 2*t - 6. Suppose -3*m + 0*r - j*r + 26 = 0, 4*m = 4*r - 8. Solve b + m*o - 6 = 0, 2*b - 7 = -b + 5*o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15708.433 and -0.2.\nAnswer: -3141.6866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-14.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10*(2 - (672\/35)\/8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000493469855 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(13))**2 + 3)*-1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -22*z. Let d = 25 + -28. Let h be c(d). Suppose g + 2*g = h. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 6:40 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7\/2, -6\/89 in decreasing order.\nAnswer: -6\/89, -3, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + f - 4, -5*q - 1150*f + 1148*f = 27 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p**3 - 2*p**2 - 6*p + 5. Determine y(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.31 + -0.11. Let m = h - 0.3. What is the second smallest value in 5, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 13*g - 1235 = 0. Let q = 592 - g. Suppose 2*r + 41 = q. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 391*f**3 + 77*f**2 - 4*f - 6. Let d(g) = 2*g**3 + g. Let y(a) = -4*d(a) - x(a). What is the third derivative of y(c) wrt c?\nAnswer: -2394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0*o**4 - 7\/6*o**3 + 1\/2*o**2 + 1\/21*o**7 - 39\/10*o**6 + 131 + 0*o**5 - 2*o. Find the second derivative of t(s) wrt s.\nAnswer: 40*s**3 - 1404*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.61? (a) -11 (b) 4 (c) 494\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.076*-1963437.\nAnswer: 149221.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jss when three letters picked without replacement from {s: 6, j: 4, q: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*y - 56*y + 8 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*0\/(((-1)\/1)\/(15\/(-30)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (28 - 4) + -13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -40 - (9 + -33 - -48 - 19)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -245 + o - 219 + o**3 + 514. What is n(0)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxd when three letters picked without replacement from {v: 1, d: 1, x: 2, r: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4 + 1464*f**3 - 8736*f**2 + 17440*f - 11616 = 0.\nAnswer: 2, 726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 - 20*t + 15. What is the remainder when c(8) is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(22)\/sqrt(2)) + sqrt(18))\/sqrt(6).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53833553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 0*h + 4*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, 0, -2, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2839 = -3*t - 2*a, -4*a - 3752 = -4*t. Calculate the highest common divisor of t and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 + 362 = l. Let o(a) be the first derivative of -4 + 5\/4*a**4 + 0*a**3 + 0*a + a**l. 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: What is the second derivative of -526*l**2 + 4203*l - 8 wrt l?\nAnswer: -1052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/10*(-1020)\/(-1377)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.68 - -6.68. Let w be (-3)\/(-6) - (-5)\/(-14). What is the smallest value in 0.1, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -0.93 (c) 5 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -12*n - 26. Let r(m) = -4*m - 9. Let t(w) = 2*p(w) - 7*r(w). Is 9 a factor of t(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c*j**5 + 45*c*j + j**5 - 28*j**2 - 3*j wrt j.\nAnswer: 60*c*j**3 + 20*j**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -567 + 1432. What is the remainder when l is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2977422 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) - (-388553)\/(-1245). Let p = 1562\/5 + f. Let b = p - 545\/1494. Calculate the common denominator of b and 31\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-20) + 447\/5.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 409\/7 + -58. Let u = -23.4 - -29. Let w = u - 6. Put -0.26, w, l in increasing order.\nAnswer: w, -0.26, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295*(7 + (-288)\/45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663289 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**3 + 101238*q**2 + 847475892*q - 111889379160 = 0.\nAnswer: -16938, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675 + 0 + 1 + (-10 - -14) is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27781*y - 27783*y = -4*k - 6, k + 2*y + 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 106*n**3\/3 - 217*n**2\/2 + 77*n. Differentiate u(r) with respect to r.\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 214 + -146. Suppose -31*c + s*c = 167240. What is c rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 48656.\nAnswer: 48653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 1. Let h(m) = 2*m - 2. Let s(t) = -5*g(t) + 3*h(t). Give s(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 117*k**2 + k + 9. Let a be n(-4). Let w = -412 + a. Suppose -4*i = m - w, 0*m = -i + m + 360. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122+1744972331\nAnswer: 1744972453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q**2. Let v(w) = -193*w + 9. Let o(j) = -268*j + 13. Let x(s) = 5*o(s) - 7*v(s). Determine x(z(r)).\nAnswer: -88*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.08286144\nAnswer: 0.033144576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20759*j + 21165*j - 39826*j.\nAnswer: 2098*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1812 (base 16) to base 7.\nAnswer: 23652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 8:55 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2069662 and 17150.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 134694*o*x**3 + o*x - 7*o - x**3 + 109933*x - 1 wrt o?\nAnswer: 134694*x**3 + x - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1013 + 489657*u**3 - 488816*u**3 - 356 - 74 wrt u.\nAnswer: 2523*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 380032.1 days in nanoseconds?\nAnswer: 32834773440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/75 and -42\/395?\nAnswer: 5925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/14245513 and -27\/160003.\nAnswer: 868976293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*d**2 - 11*d**2 + 79*d**2 - 3333 in the form w + m*d**2 + c*d and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3506.74nm to millimeters.\nAnswer: 0.00350674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22818 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from dpffffffoffffffpf.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -207.87 >= -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -3*u**2\/2 + 89*u - 610. Determine l(20).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + 0.7. Let u = 38.04 - 39. Let v = -0.04 + u. What is the second biggest value in v, -2, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z + 8*z = -100 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 345\/4 - 87. Which is the nearest to -0.1? (a) -1\/5 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 416 - 413. Suppose 0 = -3*d - 2*q + 3*q + 153, -d + 4*q = -51. What is the greatest common factor of d and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -72\/11? (a) 1 (b) -8 (c) 5 (d) 78\/11 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/19, -40, 7, 750?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**11)**24*(((p\/((p*p*p**(-13)*p)\/p))\/p)\/p)**(-25\/4) assuming p is positive.\nAnswer: p**(403\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2038.412 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 8. Let u(o) = -1. What is -j(z) + 6*u(z)?\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00594521211 rounded to four dps?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390885, 781728, 1172573, 1563420, 1954269?\nAnswer: 2345120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -4. Let l = 365\/6 + -61. Put -5, h, l in decreasing order.\nAnswer: l, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30790 and 108?\nAnswer: 1662660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 12*v**3 + 30)*(-40*v**2 - 90*v**2 - 5*v**2 - 42*v**2).\nAnswer: 2124*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdq when three letters picked without replacement from dszdzq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6211577 divided by -8\nAnswer: -6211577\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21*3\/(-15)*-10 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v + 6. Calculate b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + x + 4. Let p = x + -1. Suppose p*u = 4*u - 28. What is the greatest common divisor of u and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 24*c**2 - 19*c - 54. What is f(23)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 23 + l - 5*l - 6*l + 22 as z*l + s and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 330890 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 + 2 - (-6)\/2. Suppose 4*c - 23 = 8*p - 3*p, p + 13 = 5*c. Suppose -c*r = 20 - 6. Which is smaller: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 10:11 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v - 7. Let u(a) = 6*a - 2. Determine 2*r(i) - 3*u(i).\nAnswer: -8*i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7275595, 14551186, 21826777, 29102368, 36377959?\nAnswer: 43653550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-5) + -3 - -5. Solve 4*f - 1 = r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2448))*-5 + sqrt(2448) + (sqrt(2448) + -1)*2 + 3*(-3 + sqrt(2448) + -1*sqrt(2448) + sqrt(2448))**2)*6.\nAnswer: -1440*sqrt(17) + 44244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 2*b**5\/15 + 5*b**4\/6 - 44*b**3\/9 + 16*b**2\/3 - 1692. Suppose y(q) = 0. What is q?\nAnswer: -8, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, i: 5, q: 1, j: 4}. What is prob of picking 1 r and 3 j?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-8 - -8 - 1) + -14)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 + 17 - 28375*b**3 + 15 + 11 + 6 in the form o + s*b**2 + u*b**3 + m*b and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-360)\/(-195) + -1*2. Let q(i) = -i + 3. Let s be q(3). Let w = -81 + 84. Which is the biggest value? (a) s (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -71. Suppose 3*n + 38 + h = 0. Let a be 186\/(-45) - n\/135. What is the third biggest value in 2, a, 5\/4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22716938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 + 0 + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/14 - (-4908)\/28?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 4. Let y(r) = 32*r - 559. Let u(d) = 4*n(d) - y(d). Let x be u(18). Let w be ((-6)\/(-4) - 1)*-2. Sort x, w, -5 in decreasing order.\nAnswer: x, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 12:58 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -121, -115?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-36))\/(632\/(-12)). Let x = h - -941\/2212. Sort -5, x, 0.3, 4 in descending order.\nAnswer: 4, x, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 1734 = 23*q. What is the remainder when q is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1142482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8311 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -1) + -5 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-70)\/4*5\/((-125)\/10). Let p(f) = -f**3 + 9*f**2 - 8*f - 6. Let o be p(q). Suppose 0 = -4*r + 56 - 8. What is the highest common factor of r and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 513.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100405440*o**3 + 107982910*o**2 wrt o.\nAnswer: 602432640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*p + 4*p. Suppose p*i - 8*i + 60 = 0. Suppose -85 + i = -b. Is b a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 45, 96, 185, 324, 525, 800, 1161?\nAnswer: 1620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 14) to base 12\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 24052140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/9 - 2854*t**3\/9 + 114546*t**2 - 9087962*t\/9 + 14075068\/9 = 0 for t.\nAnswer: 2, 7, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + (24 - (16 - 23)) - 25) + (0 - -34)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17893660 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/3 in 9, 2, -7\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25214 or -25213?\nAnswer: -25214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or -145?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 9*m - 11. Calculate the remainder when 72 is divided by j(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 9*x. Let f be (4\/(-6))\/((-1)\/9). Let j(z) = -4*z**2 - 19*z. Calculate f*j(k) + 13*u(k).\nAnswer: 2*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31142 - -240?\nAnswer: 31412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19593772 and 2420?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/8 - 45*a\/4 + 51.\nAnswer: -3*(a - 4)*(a + 34)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27833.\nAnswer: 13, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 0.3 (c) -7950\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*n**4 - 2546*n**3 - 10756*n**2 + 1 wrt n?\nAnswer: -528*n - 15276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnkkkn. Give prob of sequence nknk.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -46 in descending order.\nAnswer: -1, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 751*d - 139. Is x(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, g: 1, b: 2, u: 4, z: 8}. Give prob of sequence ue.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1331) + 2)*5 - (-4 + sqrt(1331) + -2)).\nAnswer: -176*sqrt(11) - 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7135 - (-3 + 6 - 7). Let d = -3084 + v. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 1:06 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -385 divided by -77?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1146, 4590, 10332, 18372, 28710, 41346, 56280?\nAnswer: 73512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 918 divided by 6\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-10) - 0 - (-76)\/20. Let z(i) = -i**2 + 2*i + 2. Calculate z(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from {f: 3, x: 9}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339 less than 8.755?\nAnswer: -1330.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 1, f: 1, v: 1, p: 2, a: 2}. What is prob of sequence fm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6036 (base 9) to base 11.\nAnswer: 3347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87230)\/(-6039))\/(15\/54)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 309666 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(8\/58)*-4. Suppose 0*f - 2*f + r = 2*x, 2*x - 2*f = 74. Calculate the remainder when x is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -1595*l**3\/3 + 1984*l - 234. Differentiate r(s) with respect to s.\nAnswer: -3190*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/907 less than 448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmamikl. Give prob of sequence im.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 66127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -33241705774 - 6\nAnswer: -33241705780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56844140 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + t + 5 + 7 + t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, 11, 48, 113, 212, 351, 536, 773?\n\"Answer: u**3 + 5*u**2 - 7*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (225\/90 + (-3 - -1))*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + s - 72 = 0. Let f be 1\/s*(-42)\/(-14). What is the closest to 1 in f, 1, -1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*a + 41*a + 3692 = 0 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 23817309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1)*w)*w*w**6*w)\/(w**0)**(2\/63) assuming w is positive.\nAnswer: w**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w - 2*v - 54 = 0, -3*w - 3*v + 99 = 0. Suppose -3*a = 4*x + 1, -2*a + w = 5*x - 10*x. Solve a*s = 3*m - 11, -s - 1 + 8 = 4*m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157\/870 - -2\/145. Let q be (36\/(-10))\/2*(-754)\/(-1131). What is the second biggest value in w, q, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 208 = -80. Suppose -59*b + q = -57*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 49?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 5\/(10\/24). Let a be 6*(-1)\/2*7. Let k = -14 - a. Calculate the greatest common divisor of k and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 - 8*f**2 + 20*f**2)*(-3*f**3 + 0*f**3 + 2*f**3).\nAnswer: -7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1660 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -71935 (base 10) to base 3\nAnswer: -10122200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9900 - -5482. Is z\/(-8) - (-36)\/48 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -4, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11892*x - 3*x**2 - 11893*x + 0*x**4 + 16 + 6*x**4 to r*x + n + k*x**4 + y*x**3 + m*x**2 and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, t: 2, u: 3, p: 1, l: 3, z: 2}. Give prob of picking 3 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 18*d**2 - 5207 + 5207 - 2*d**2 + 8*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - j + 3*j)*(54 + 50 - 97).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -553 - -543. Let n be -2 + (d - (4 - 9) - -9). Solve -2*s = 10, 3*r + n = 4*s - 5*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(21\/126).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2417.91306 rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 452 + -314. Let p be ((-7)\/(-65))\/(j\/27338). Let c = p - 1\/1495. Calculate the common denominator of -19\/3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22220 + -2?\nAnswer: -22222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 2756766\nAnswer: -5513532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -46 (b) 104 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -929 + 934. Let v = 1.7 - -0.3. Which is the second biggest value? (a) -2 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 18 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 4 (c) -30 (d) -4 (e) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15040062 or -15040063?\nAnswer: -15040063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.46 + 41.46. Which is the smallest value? (a) -3 (b) -0.4 (c) s (d) -2\/11 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 86\/5. Suppose -g - 21*g - 81 - 7 = 0. Let s be (-5)\/(-6)*1*(-36)\/180. What is the nearest to -1 in s, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2635*h + 0*h**2 + 4*h**2 - 2*h**2 - 8455*h.\nAnswer: 2*h**2 - 11090*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/50*(16\/3 - 5). Which is the closest to -7? (a) -0.4 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -17, -1 in increasing order.\nAnswer: -17, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21\/18*(-8)\/(-70)*1\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 + 109*i + 96. Let g be l(-25). Calculate the greatest common divisor of g and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 7*n + 3*o + 110, -2*o + 35 = n. Solve -7*y - n = -4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 2*o**2 + 9*o - 7*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 6. Let k(d) = -d**2 - 1. Give i(y) + 6*k(y).\nAnswer: -6*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*y + 445 = 5*h, 178 = 2*h + 4*y. Do h and 439\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*v + y + 19, 0 = y + 3. Let c(q) = -6486 + 6488 + 4*q + v*q. Let w be ((-2)\/3)\/((-1)\/(-9)). Let h(l) = -8*l - 1. Give w*c(p) - 7*h(p).\nAnswer: 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -83 - 19dd08?\nAnswer: -19dd8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 74599.64 minutes in microseconds?\nAnswer: 4475978400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 12300122130?\nAnswer: -12300122132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 198, 2, -145 in increasing order.\nAnswer: -145, -3, 2, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11.22684 tonnes?\nAnswer: 11226840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 2*q**2 - 2*q**2)*(1 - 3*q - 1) + (-4*q**2 - 2*q**2 + 4*q**2)*(q - 3*q + q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**2 + 121278*j + 6177375 = 0.\nAnswer: -40375, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (2\/10)\/(3\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 11 - ((-515)\/260 + 0))*4\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*i - 18 = 171*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 37484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-1\/3)*t*t)**(-44)\/(t**0*(t\/(t**(2\/11)*t*t))\/t) assuming t is positive.\nAnswer: t**(-5252\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*d + 35. Suppose -61 = -6*v - d. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -33 + 4 - (0 + 6).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (272\/350336*-230)\/(10\/(-12))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 14*a**2 + 6*a + 181. Let r(i) = 5*i**2 + 2*i + 60. Let h(y) = -17*r(y) + 6*w(y). Let v be h(-7). Solve -f + 29 = -0*x - 5*x, f = -v*x - 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 170663066.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*v**2 + 303*v**2 - 599*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q - 69. Suppose -n + 23 = -2*x + 6, -2*x - q = 5*n. Let z = x + 4. What is the nearest to 1 in z, -2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6022, 12082, 18120, 24124, 30082?\nAnswer: 35982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -4 (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 813896 and 15565761?\nAnswer: 124526088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 462567047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1039*n**3 - 7108*n**2 - 1150*n - 24. What is m(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (20 - (20 - 16)) - -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33217028759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0077 + -0.009006. What is y rounded to five dps?\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 3*s**2 - 2*s**2 + (2*s + s - s)*(2*s + 3 - 3))*(-20810*s - 34252*s - 23144*s + 18700*s - 2277*s).\nAnswer: -185349*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 35.1. Let t = g + 12.1. Let x = -10.001 + t. What is x rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) -654554 (c) 1 (d) 0 (e) -1 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137392216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 2, -3, 2\/149, -34 in increasing order.\nAnswer: -34, -3, 2\/149, 0.11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 7:51 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(1584) + sqrt(1584))**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 4*n + 10. Let i be w(-11). Suppose 4*v - 2*o - 2*o = -i, 0 = -v - 5*o - 58. Let u = 81 + v. What is the remainder when u is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 22*k + 61. Let w be z(-19). Find the common denominator of (33\/(-420))\/(1\/w) and 38\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -12*q**3 - 5268*q**2 + 15885*q - 11934 = 0.\nAnswer: -442, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 26 - (106 + -126)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560077 (base 8) in base 11?\nAnswer: 119675","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Work out -5688 * 693.5.\nAnswer: -3944628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 422634 to the power of 1\/2, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 210528 divided by 36\nAnswer: 5848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = z - 3*j, -2*z + 3*j = -j + 8. Let l(h) be the first derivative of -5*h + 2*h**3 + 2*h**2 - 11 + 1\/4*h**4. Determine l(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggl when four letters picked without replacement from ggiktiklgggk.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14520941 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*u + 2 - u**2 - u**3 + 0*u - 1 + 5*u to l + k*u + a*u**2 + y*u**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2037 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ea (base 15) to base 3.\nAnswer: 1020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 1 = 0, -4*d + 5*s = 12*d - 12*d - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 149627892 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 7*j**2 + 7*j + 7. Let r = 175 - 161. Let b(h) = -2*h - 3*h**2 + 1 + 5*h**2 - 3. Determine r*b(n) + 4*w(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = d - 4*d - 4, 2*d + 12 = 5*x. Suppose 3232 = -4*o + 105*o. What is the least common multiple of o and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 5, -3, 45, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -172*b**4 + 118*b**4 - 6*b + 6*b - 116*b**2 wrt b.\nAnswer: -1296*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16954771003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72989.17 - -72989. Let l be ((-1)\/(-6))\/(2\/4). Suppose h - 3 = 2*c, 2 + 2 = 4*c - 4*h. What is the third biggest value in -4\/9, p, l, c?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f - 33. Let m be n(-9). Suppose 108 = g + z, -z - m*z = 16. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1427 - -1.1827. Which is the fourth biggest value? (a) -0.4 (b) -0.5 (c) -3 (d) 0.7 (e) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2164195 and 221815.\nAnswer: 5995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 16359.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3 + 2 - t - 6. What is the units digit of q(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + x - 1)*(x**3 + x**3 + x**3)*(4 + 2 - 5).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 3 + -11 + -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18281 and 1717.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -200 - 2?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 4*h = 4*c + 8, 4*c - 2*h = 14. Suppose -n - 42 = c*l, 0 = 3*l + 3*n - 2*n + 31. Let o = -5 - l. Solve -6*p = -9*p - o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2409115?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52643 - 116052 = 2948*o + 57459 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 371783682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/24)\/(19\/(-57)). Let z be 2\/(-8) - (-531)\/12. Suppose z = -5*x - 16. Which is the closest to 0? (a) 1\/2 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 61 = -5*l - 1, -4*l + 6 = -k. Let d be (k\/(-15))\/(3\/(-27)). Calculate the greatest common factor of d and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 3*c**4\/4 + 83*c**3\/6 + 9*c**2 - 2*c - 55. What is f in u(f) = 0?\nAnswer: -9, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 2)*8\/20. Suppose -g*u + 24 = 3*k, -3*u + 54 = 4*k + 16. Calculate the greatest common divisor of u and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*q - 181*q + 14*q + 15066 = 83*q for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 238367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/(-9) + (-84)\/56*((-60)\/(-18) + 2)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -23*y + 24*y**2 + 62*y - y**3 + 4*y**2 - 167 - 10*y**2 + 15*y**2. Let o be r(34). Factor 0*z - 8\/3 - 2\/3*z**o + 2*z**2.\nAnswer: -2*(z - 2)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*t - 209 = -2*k, -4*t = 5*k - 201. Suppose 0 = -2*d - k + 1021. What is d rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 7\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 9 = 6, i + 5*w = -13. Solve 0*u + 25 = -3*u - 2*l, i*l + 10 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3250 - -3255. Sort 2, 3, v, -21, 4 in descending order.\nAnswer: v, 4, 3, 2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -114, -3, -1, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b. Let l be ((-30)\/(-12))\/((3\/2)\/(-3)). Let q be (0 - -4)*(-2)\/(-4). Let p(w) = 9*w. Determine l*u(n) + q*p(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, h: 1, u: 3, t: 3, e: 1}. What is prob of picking 1 t and 1 n?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.7 and 2081.\nAnswer: 5618.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -542 + 1000. What are the prime factors of x?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 8:53 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60860, 121717, 182570, 243419, 304264, 365105, 425942?\n\"Answer: -2*l**2 + 60863*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, e: 11, f: 1}. Give prob of sequence ae.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1003 and 388574.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4197*f**3 + 6*f**2 - 18*f + 29. Let d = -159 + 172. Let q be w(d). What is q rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4 - 12308*u**3 + 38251342*u**2 - 2336218404*u + 36028974969 = 0.\nAnswer: 31, 6123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19584073*s**4 - s - 9966900?\nAnswer: 78336292*s**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 11, 0.02384, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (3 - 5) - -4. What is the nearest to i in 2, 3, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1530*q**2 + 1260*q**2 - 2568*q**2)*(-5*q + q + 0*q) as n*q**3 + o*q**2 + g*q + d and give n.\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 12 + 0 = 0, 3*o + 2*m = 3. Put 36, 0, o, 3 in descending order.\nAnswer: 36, 3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1176044?\nAnswer: 2, 41, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/(-5) + -26)*112\/(-208)?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-140)\/(33\/((-1642872)\/(-16))). What is l rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a4b (base 14) in base 4?\nAnswer: 1022203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180095695.\nAnswer: 5, 13, 213131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q - 77. Let c be a(21). Let i be 26250*(160\/c)\/((-1)\/(-14)). What is i rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = 5*h - 17*u, 5*u = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 9:24 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 357 - 353. Which is the biggest value? (a) 1\/6 (b) -29 (c) 0 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -83, -114, -137, -152, -159, -158?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and 0.2.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb (base 15) to base 11.\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 8*d**2 - 11*d - 15. Calculate l(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*w - 5*r - 7, 4*w - r - 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52006109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -1\/2, -64?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*(sqrt(209) + 5*sqrt(209)*2))\/(sqrt(99)\/((sqrt(72) + sqrt(72) + sqrt(72)*2 + sqrt(72))\/sqrt(8))))**2 + -4.\nAnswer: 2750*sqrt(19) + 1436896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-45)*6 + 24\/20. Suppose -4*g - 40 = -4*h, 3*g - 58 = -3*h - u*h. Let s = 46 - h. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 23679264*t - 47358516.\nAnswer: -3*(t - 7893086)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*g + 6467 = -4*g, -4*n = -5*g - 8624. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158.01 + 158. Let l = -628 - -628.00981. Let j = l + p. What is j rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y**2. Let b(j) be the first derivative of -j**2\/2 - 115. Calculate b(w(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31435a (base 16) in base 10?\nAnswer: 3228506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lslljjslslsjjssjsjj. Give prob of sequence sllj.\nAnswer: 245\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-4\/3)*u*u)\/u)\/u**(-2\/3))**17*(u*((((u*u\/u**6)\/u)\/u)\/u)\/u*u\/(u\/(((u*u**0*u)\/u)\/u)))\/(u**0*u)**14 assuming u is positive.\nAnswer: u**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 - 8*q**3 + 84*q**2 + 832*q + 1280.\nAnswer: -(q - 10)*(q + 2)*(q + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -56.9686?\nAnswer: 5.69686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.038957 + 0.039. Round k to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/6 - 101*q**3\/6 - 2497*q**2\/6 + 935*q\/2 + 867.\nAnswer: -(q - 2)*(q + 1)*(q + 51)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 124 - (-1 - -4 - 4). Suppose 11*m + t = 16*m. Let q = m + -20. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 11*a**2 + 10*a - 16. Let n be u(-12). Suppose 0 = 4*h - n + 4. Solve -2*t + 4 = x, 3*x - h - 2 = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -294\/11 + 1503\/55. Let j(c) be the first derivative of -3 + o*c**5 + 0*c**3 + 3*c**2 + 0*c + 0*c**4. Find the second derivative of j(p) wrt p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133162574 minus 5057?\nAnswer: -133167631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0)**(-2\/7))**(-18\/7) assuming c is positive.\nAnswer: c**(36\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -42*h**2. Let g(u) = 82*u**2. Let i(q) = -11*b(q) - 6*g(q). Let y(p) = -6*p. Give y(i(j)).\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11317 - -11366. Solve 41*g - k*g = -32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4))**(-1\/24)*(m**1)**(-20) assuming m is positive.\nAnswer: m**(-1921\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 640113 to the nearest 10000.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41917838 take away -0.34?\nAnswer: -0.07917838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741962907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*w + 4*w + 111, 4*p - 80 = 3*w. Suppose 0*j - 3*j = 0. Suppose 2*o - 322 = -j*o. What is the greatest common divisor of o and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17192107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 4*x + 4. Let z be w(-4). Suppose z*t = -1 - 3. Let c be t*4\/66*3. Are 2\/7 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 35 + 13 = 0. Let z(w) = 2*w**3 + w - n*w + 19*w**2 + 5 - w**3 - 24*w**2. Determine z(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111699 is divided by 22337.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1633 and -875.\nAnswer: -875.1633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(7 - 1 - 1)*(-2*q - 1 + 1) to the form l + k*q and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*sqrt(1573) + 5.\nAnswer: -11*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 395.8 - 392.8. Put g, -0.07, 4, -2, -3 in descending order.\nAnswer: 4, g, -0.07, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1331) - (sqrt(1331) + -2 + sqrt(1331))) + 3 + sqrt(1331) + -2)**2.\nAnswer: -1430*sqrt(11) + 33444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8707861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*l + 114, l + 4*z = -9 + 27. Let j(g) = g**3 + 4*g**2 + 5. Let p be j(-4). Suppose p*f - l = 81. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 33.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38113, 76179, 114251, 152329?\n\"Answer: 3*a**2 + 38057*a + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/40*7\/(-147).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 160 + 440. Round i to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = 9. Suppose 7*k + h = 4*k. Does 17 divide k\/9 + 116\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + 0 - (-154 - -157)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**5 - 2*l**5 - 2*l**5)*(7 + 30 + 23) + 4*l**5 + 9 + 0*l**5 - 10.\nAnswer: -56*l**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 at least -76843866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2 + 114360908*i - 3269604319646116 = 0 for i.\nAnswer: 57180454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 487 - 1747 = 3*x, -2*q - x + 1252 = 0. What are the prime factors of q?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2*-9*(-11)\/594)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3278 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Suppose c = -0*c + o. Suppose 30 = -2*u + 5*u + 3*r, c*r - 6 = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-2)*(816\/(-22) - -37).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + 1 + 0 - sqrt(425)*1*-4)**2*5.\nAnswer: 250*sqrt(17) + 53130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 35*p**3 - 2*p**2 - 9*p + 5. Let t(m) = -m**3 - 34*m**2 + m + 37. Let z be t(-34). What are the prime factors of h(z)?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 27255691 and 27255690 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 25 + -2 - 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*((z*z**(-7\/6)*z)\/z*z)\/z*z*z)*z**(4\/13))**38)**(1\/16) assuming z is positive.\nAnswer: z**(-2261\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 56 + (-3)\/(-3)*-1. Let g be 313\/3 - 1\/3. Let t = g - p. Calculate the remainder when t is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 1. Let f(n) = n + 1. Let c(s) = b(s) - 2*f(s). Let u be c(-4). Suppose a + 12 + u = d, 4*d - a - 49 = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3*a + a)*((0*a + 0*a + 2*a)*(-3*a - a + 7*a) + 0*a**2 + 0*a**2 + 2*a**2).\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-76)\/38)\/((-20)\/(-5)))\/((-2)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-347 - -349) + 1 + -15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**3\/6 - 118*w**2. Let r(t) = t - 4 + 3 - 7. Give r(n) - 6*x(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-398 - -406)*((-210)\/(-24) - 2)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 19*r**2 - 3*r. Let u(n) = 20938*n**2 - 3439*n - 8037. Let p(w) = -487*w**2 + 80*w + 188. Let l(z) = 171*p(z) + 4*u(z). Calculate 76*d(v) - 3*l(v).\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*k + 3 + 52 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 70056, 70058, 70060?\n\"Answer: 2*n + 70054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**3\/3 - 2*z**2 + 2*z - 1. Let j(v) = -v**3 + 27*v**2 - 27*v + 29. Let h be j(26). What is n(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*u + 302, u = 2*u - 2. Let w = h - 27. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 4, -0.803, -2\/3, 0.5, 0.3?\nAnswer: -0.803","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1064, -4274, -9630, -17138, -26804, -38634, -52634?\n\"Answer: -q**3 - 1067*q**2 - 2*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 8:30 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -44974 - 4*j - 83*j**3 + 61*j**3 + 9*j**2 + 44974 in the form o*j + n + s*j**3 + v*j**2 and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -359 + 362. Solve -v*f - 9 = -3*i, f + 19 = -2*i + 7*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1237763562.\nAnswer: 2, 3, 7, 83, 149, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6904 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 16*g + 1. Let n(v) = -34*v**2 - 368*v + 23. Let f(h) = 138*a(h) - 6*n(h). Let o(k) = 2*k. Determine f(o(p)).\nAnswer: 1368*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-5 - -13)\/4 - 2)\/((-5)\/(-5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 7*u**6\/15 + 5*u**3\/3 + 2*u. What is the second derivative of d(a) wrt a?\nAnswer: 168*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9177383 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -191.3407 rounded to one decimal place?\nAnswer: -191.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-21))\/1*((-483300)\/750)\/(-179)\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(4*u - 2*u - 3*u + (-2 - 2 + 2)*(3*u - 4*u + 4*u)) + 9*u + 0 + 2 - 3.\nAnswer: 23*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5*d - 3)*(-4 + 0 + 5)*(2*d + 27*d - 8*d) to s*d + h*d**2 + b and give h.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -20. Let o = -28 + p. Let s = -12.5 - o. Put 0, 5\/2, s in descending order.\nAnswer: 5\/2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + -2 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 2*h**2 - 6 + 10*h + 9 - 2*h**2. Does 2 divide x(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5160733?\nAnswer: 5160733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12980)\/(-177))\/110)\/((-20)\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*y = 125, 4*t + 104 = y - 88. Let c = 47 - 20. Let v = c - t. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l**3 + 7*l**2 + 74*l + 111. Give n(-6).\nAnswer: -1809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -44, -80, -126, -182, -248?\n\"Answer: -5*j**2 - 11*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72 - 70) + 0 + -10 - -6 - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10*j - 2. Let b be n(-1). What is the tens digit of (-3)\/b - 223\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**2. Let y(f) = -32*f**2 - 8*f. Give y(a(p)).\nAnswer: -800*p**4 + 40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7113456 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -32897*s - 65721. Give g(-2).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**8\/6720 - a**7\/2520 - a**6\/720 - a**5\/20 + a**4\/3 - 2*a. Let v(q) be the third derivative of y(q). Give v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 482 = -2984. What is the remainder when d is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*k = 3, 5*h - 3*k - 2*k = -15. What is the tens digit of -2 + 522\/10 - (-1)\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -17*c - 8. Let y(a) be the third derivative of a**4\/12 + a**3\/2 - 3*a**2. Let j(n) = 7*n + 9. Let o(i) = 4*j(i) - 11*y(i). Give -11*o(w) - 4*p(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.81 - 0.91. What is the biggest value in -2\/9, 4\/7, -16, k?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3409 * -0.011\nAnswer: -37.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/10, -4, 344\/7?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -97, -140, -169, -178, -161, -112, -25?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 7*j**2 + 5. Let s be l(-7). Solve 4*p = -p + s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 2\/13, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 375860?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7966.313 meters?\nAnswer: 7966313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 5 + (-3 - -4). Let d(q) = -2071*q**3 - 11*q**2 + 2072*q**y + 11*q - 2*q + 6. What is d(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 - -107.31. Let c = 0.68999971 + o. What is c rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + a - 3857 = 0, -12*d + 3861 = -7*d + 3*a. What is the remainder when d is divided by 38?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/9)\/(5\/(-35))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.049 - 2.951. Let z = -58 - -520\/9. What is the closest to z in h, -4\/7, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1646 = 627*c - 84410 for c.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2) + -1 + 3. Find the third derivative of 22*y**2 - 8*y**w - 10*y**5 - 8*y**2 - 8*y**2 wrt y.\nAnswer: -600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/1)\/4 - 3\/(-12). Let m be (3*88 - 4) + (-2 - i). Calculate the highest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sblkssslsslscsssks. What is prob of sequence bc?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*h**2 - 23*h**2 - 23*h**2 - 29*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50993 and 24?\nAnswer: 1223832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -2, -4, 49 in descending order.\nAnswer: 49, 6, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, 9, 14, 19, 24, 29?\n\"Answer: 5*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 34*w + 36*w + 2, 0 = -3*l - 5*w + 7 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**3 - 3*k**2 + 2. Calculate l(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + w + 0*w)*(-34 + 5 + 6).\nAnswer: 115*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/394938 and 83\/131646.\nAnswer: 394938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h. Suppose -1587 = 12*m + 1077. Let t = m + 582. Let g(o) = 177*o + 178*o - t*o. Determine x(g(r)).\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4019318 and 1208?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/175056530 and -69\/1225730.\nAnswer: 1925621830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = o - 12. What is the remainder when 175 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 4, -4056 in ascending order.\nAnswer: -4056, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w + 14. Let c be k(0). Let h be (13 - c)\/((-2)\/14). Calculate the highest common divisor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/13)\/((p*p**3)\/p))\/((p*p**(-7))\/p)**(-18))**(-19) assuming p is positive.\nAnswer: p**(31939\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 425924573 to the power of 1\/2, to the nearest integer?\nAnswer: 20638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107.7 - -3.0293.\nAnswer: 110.7293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 42, 2\/49, 0, 5?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miqqmqeqeeqatemqemq. What is prob of sequence maq?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 145 = 3*j, 58 = 2*a + 5*j - j. Let l = a + -25. Solve -9*w = -4*w + 5*o + 10, 0 = l*w - o + 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3271408693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5\/4 (b) 2.1 (c) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 844394 and 13802.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*m + 35*m - 355 = 15*m. Solve m*z - 2*z - 9 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/462 + (-5)\/(-1) - 5.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-11\/6)\/f)**(-2\/21)\/(((f*f**(-2))\/f)\/f)**(45\/4))**44 assuming f is positive.\nAnswer: f**(94303\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -29) + -81 + 52 + -37?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91112 - 63741. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -d - 6, -5*j - d - 7 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -14\/3, 2, -2, 60, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-57582)\/70)\/((-21)\/350*(7 + -5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -30*f + 33*f. Suppose u + 4*z = 12, f = 5*u - 3*z + 4*z. Solve u = 4*i + 6 + 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 155 + 5*w - 155 + 2*w + w**3 + w**2 in the form d*w**3 + g*w + l + m*w**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.2329 from 301.\nAnswer: 299.7671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 5:51 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895864.\nAnswer: 2, 113, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (17*(-1 + 2) - 1) + 0. Suppose -4*z = -2*k + l, 12*k - 16 = 11*k - 2*z. What is the smallest common multiple of 1 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(-6)\/(-900)?\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525272053?\nAnswer: 277, 367, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 702 - 11297\/16. What is the common denominator of k and -87\/26?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 63637344*p - 337475962614528.\nAnswer: -3*(p - 10606224)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14284 is divided by 1424?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/(-195))\/(10*2*(-10)\/(-25))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036527 divided by 5?\nAnswer: 2036527\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 11*o + 4*o + 0*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2859 + 0.2859. Which is the closest to u? (a) 4 (b) 11\/4 (c) 2\/13 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148 + 195. Suppose -3*b - 2 = 3*c - s, 2*b = 5*c + 37. Calculate the smallest common multiple of b and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 29*u**8\/42 + u**4\/12 - 265*u**3\/6 - 32*u**2 + 6. What is the second derivative of c(r) wrt r?\nAnswer: 4640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/1 - (3 + -12). Suppose 0*y = y - n. Let h = y + -8. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7 = -4*o + 17, 4*b = o + 4. Let h(a) = -196 - 2*a - 2*a**2 + 200 - 3*a + a**b. What is h(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**6\/120 + b**5\/60 - b**4\/24 - 5*b**3\/6 + b**2. Let t(m) = m**2 - 70*m - 71. Let f be t(71). Determine n(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmgwwwcgbg. What is prob of picking 1 m and 1 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaa when three letters picked without replacement from {k: 1, o: 1, q: 1, a: 3, y: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -310654 - 827846. Round k to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, -31, -76, -141, -232, -355?\n\"Answer: -d**3 - d**2 - 21*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 2)\/(3\/6). Let s be f\/(-6) - 26\/(-6). Calculate the greatest common divisor of 20 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b*b**(1\/5))*b)\/b))\/(b*((b*b**7)\/b)\/b))\/(((b*(b*b**(-9))\/b)\/b)\/b**(2\/21)) assuming b is positive.\nAnswer: b**(346\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6188, 5991, 5784, 5561, 5316, 5043?\n\"Answer: -y**3 + y**2 - 193*y + 6381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j. Let l(o) be the third derivative of -o**7\/840 - o**4\/12 + o**2. Let s(k) be the second derivative of l(k). What is c(s(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -420711 to the nearest 100.\nAnswer: -420700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111111010101 + 0?\nAnswer: -110111111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 439620 to the power of 1\/2, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 805840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x + 11*x**2 - 6*x - 7*x**3 - 7*x**3 + 15*x**3 - 8. Let a be u(-12). What is the remainder when (-1017)\/(-33) - a\/(-22) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2127 - -24729?\nAnswer: 22602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 73*k - 43*k + 268 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 4*c**2 - 8*c + 1. Let a be l(5). Let k = a - -70. Suppose 455 = k*v - v. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-570)\/(-110) + 7\/(231\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/((-203)\/87)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhdddffy. Give prob of sequence dfd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 322 - 590. Is 4 - (-1 + q + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) - 464\/48. Let g be ((-4)\/j)\/((-1)\/25). Let n = g + 14. Solve n - 2 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 33*f**2 + 35*f - 5. Let y be d(32). Calculate the common denominator of (-4086)\/(-312) - (-14)\/y and -151\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) - (sqrt(77) + 4*sqrt(77)*-2)))\/(-1*sqrt(6336)).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*(-21 - 4176\/(-198)))\/((-4)\/96)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16871.\nAnswer: 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/14)\/((-4936)\/(-12957))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900527682 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -238*z - 3640. Let i(d) = 78*d + 1213. Let s(h) = -6*a(h) - 17*i(h). Differentiate s(l) with respect to l.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 28, 6, -50, -146, -288?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40368 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y = 26*y + 7. Let s be (-93)\/y - (-4)\/14. Let i = s + 82. What are the prime factors of i?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 37 = -w, -2*w - 25 = -2*v - v. Let a = v - 5. Suppose 15 + 41 = a*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z. Let x be u(4). Let s be (-1341)\/(-3)*3*x\/6. Suppose -v = 5*v - s. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59000.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5846*g**2 + 16*g**3 + 5842*g**2 + 20*g + 18*g**3.\nAnswer: 34*g**3 - 4*g**2 + 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89442660?\nAnswer: 2, 3, 5, 1490711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*u - 6*u - 16 = 0, 5*x - 25 = -5*u. Solve 2*s + 4*w + 12 = 0, x*s - w = s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5244 and 552?\nAnswer: 10488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*22*756\/378?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**2 - 3*w**2 + 5*w**2 + (3*w**2 + w**2 - 2*w**2)*(4 - 2 - 5))*(2*w + 5*w - 3*w) to s*w**2 + m*w + b*w**3 + v and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 1. Let j(f) be the third derivative of f**6\/60 + f**4\/8 - 2*f**3\/3 - f**2 - 185. Calculate -j(l) + 3*w(l).\nAnswer: -2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 8. Let u(k) be the first derivative of k**2\/2 - 7*k - 18. Let i be u(9). Solve -h - 3 = i*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/7)*w)**(3\/40)\/(w**(-21)\/(w*w*w\/w**(7\/4)*w*w)) assuming w is positive.\nAnswer: w**(3419\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*-2*84\/(-231)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 66 - 5*v**2)*(37*v**3 - 1006*v**2 + 2 + 1006*v**2).\nAnswer: -185*v**5 - 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448829934 to the power of 1\/3, to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/2068620 and -95\/368?\nAnswer: 8274480","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*a**3*k**2 - 2*a**3*k*q**3 - 2*a**3*k*q - 2*a**2*k**2*q**3 + 3*a*k**2*q - k*q**3 - 30*k*q**2 wrt k?\nAnswer: 54*a**3 - 4*a**2*q**3 + 6*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 3*i**2 + 2*i + 2. Calculate the remainder when 57 is divided by g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/3))**(-7)*g*g\/g**(-1\/12)*g**(-3\/2)*(g\/g**(-2\/9))**4\/((g*g\/g**(-3\/10))\/(g\/g**4)) assuming g is positive.\nAnswer: g**(-389\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3\/8 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4076 >= 214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3 = 2*w - 2*z, 0 = -2*w - z - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.26 + 0.04. Let p = v + -0.7. Let u = -6 - -6.1. What is the nearest to 2\/3 in u, p, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2087*n + 50089. Let i be d(24). Let v = 12 - 7. Solve -6*s - i = -v*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from {q: 1, z: 3, e: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2 + 2 + -6*(sqrt(117) + 1))**2.\nAnswer: 192*sqrt(13) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) + sqrt(180) + -1) + ((-2*sqrt(110)\/sqrt(11))\/sqrt(2))**2.\nAnswer: -35*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275230 is divided by 1275219?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b = -1655180 - 1116090 - 542638. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, l: 1, y: 1, u: 2, p: 4}. Give prob of picking 1 p and 1 y.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.5 (b) -1612 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4)*(-3)\/9. Let y = 46.3 + -46. What is the closest to c in 4, -0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 333 - 4327\/13. Which is the smallest value? (a) 2 (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833507 a multiple of 808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17159688 and 154812.\nAnswer: 326034072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 1. Let q(g) = 2*g - 1. Let z be q(0). Let u(y) = -6*y**3 - 3*y**2 - 2*y + 5. Let c(j) = z*u(j) - 5*w(j). What is c(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(0*r - 4*r + r) + (-1148 - 1124 + 2250)*(-4*r + 3*r - 3*r) + 2*r + 0 + 0 as k*r + p and give k.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 48 = -2*i. Suppose f = -3*f + i. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -320 + 419. Let v be 387\/n + -1 - (-4)\/44. Solve 0*p = -p - v*h + 7, 0 = -4*p + 2*h - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86256.\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -5*s - 3732. Let d = 125656\/101 - s. What is the common denominator of -51\/11 and d?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -551.397 - 127493673\nAnswer: -127494224.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 71 and 0.0890596.\nAnswer: 6.3232316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 1, p: 7, o: 4, t: 4, v: 1}. Give prob of sequence trt.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3481\/4 + -870. Factor -d*u**3 + 3\/4*u**2 + 1\/4 - 3\/4*u.\nAnswer: -(u - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/17 + (-5195)\/(-85) + 7 is divided by 55?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: What is prob of picking 1 w and 1 j when two letters picked without replacement from {j: 1, s: 1, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k - 21. Let z(a) = -a - 3. Calculate the least common multiple of 6 and z(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1967 = 498*c + 4955 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4358*n - 5474*n + 68695 = -322*n + 4229*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -21586599 - 6883401. What is z rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -37. Let j be 2 + -1 - (v + 2). Suppose j = -0*z - z + 20. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1620 and ((-1435)\/(-164) + -17)\/(30\/14).\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + b**3 - 2*b**3)*(2 - 3 + 3) + 3*b**2 - 3*b**2 - b**3 + (3 + 2 - 2)*(-b**3 - 4 + 4).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 + -80.51. Let a = m - -49.71. Let o = -50 + a. Round o to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1 + 0*o + 0 - 6 + 7*o**2 - 2*o + o**3. Let r(j) = -j**3 - 6*j**2 + 7*j - 7. Let i be r(-7). What is the units digit of w(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3)*(-2)\/((-8)\/36). Suppose 6*z - 7*z + g = 0. Suppose 0*i - z*i = -9*i. Solve i*o = 5*o - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -52*j**2 - 27*j - 20. Let z be v(-2). Suppose 4*b - 6 = -5*a + 10, 2*a = -4*b + 4. Put a, -4, 3, z in decreasing order.\nAnswer: a, 3, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4223.995555 - -4224. What is d rounded to four decimal places?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -1. Let s(l) = 8*l + 10. Give -40*q(d) - 4*s(d).\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374975134 a multiple of 1278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**7\/105 - q**6\/20 + q**5\/30 + q**4\/4 - 2*q**2. Factor j(y).\nAnswer: -2*y*(y - 1)*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*c - 39 + 7, -4*a + 44 = -c. Suppose 6*b + a = 10*b. Calculate the greatest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -79*l + 401. Let p be j(5). Solve -k + b - p*b + 3 = 0, 2*b = k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-4 - 21\/(-6))*-36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*z - z + 2, 0 = -x + z - 1. Find h such that 0*h - 6\/5*h**x + 8\/5 - 2\/5*h**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3520913781 to the nearest integer?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 844*w + 87594 - 26510 = -53700 for w.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62362 - -5?\nAnswer: 62400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -157 - -156.901. What is b rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 + -2 + 1 - 0\/4 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21476158 is divided by 320?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.77712 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 63*g**2 + 54*g + 120.\nAnswer: 3*(g - 20)*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23774?\nAnswer: 2, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.074393\nAnswer: 0.223179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 96934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*j + 0 + 31*j - 1 - 57*j in the form x*j + h and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.547 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5780 - 11561 - 9*d + 5779.\nAnswer: -9*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -466 (b) 2 (c) 0.15 (d) -0.626\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o - 14. Suppose 2*y + y - 5 = -v, -4*y + 3*v = -24. Let i be l(y). Calculate the greatest common factor of 175 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396 and 66?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a + 232 = 40. Let u(d) = 7*d + 1. Give u(a).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -772.\nAnswer: -1\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 1. Let h(c) = -30*c. Determine u(h(o)).\nAnswer: -30*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -u - 7, -u = 3*u + 3*s - 11. Solve 6 = u*m + 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -3*c**4\/4 - 2*c**3\/3 - 9*c**2. Let s(f) = -19*f - 5. Let d(m) = 4*s(m) - 5*x(m). Let a(t) = -t. Determine d(a(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 913.8, -0.004, 4\/5?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 18*a**2 - 2*a + 1. Suppose -i - 3*i = 4*s - 4, 0 = -2*s + i + 2. List the prime factors of d(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*f + 108 = -28. Sort -129, 1\/7, f in descending order.\nAnswer: 1\/7, f, -129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (28 + -60 - -48) + (-1 - 14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + s**2 - s + 27. Let c be d(0). Let k(x) = 2*x - 27 + c. Let m(a) = -11*a**2. Determine k(m(h)).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -131390 - 1?\nAnswer: -131391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 145573811 bigger than 145573810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 229*m + 5493. Determine y(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1315.9 - 1316. Let h = -3.213 - 0.497. Let r = h - -0.01. Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128 - (-8 + -1 + (7 - (4 + 5)))\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(504)\/((sqrt(84)*-1 - sqrt(84))\/sqrt(7)))\/(sqrt(864) + sqrt(864) + sqrt(864)*1*1).\nAnswer: -5 - sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 9) to base 7\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - (0 + 0 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -15, -2, 2 in decreasing order.\nAnswer: 36, 2, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -24, 3, 50, 123?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177 + 101. Are -1 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by ((-28)\/6)\/(0 - 8\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, 1\/4, 4, 3 in ascending order.\nAnswer: -7\/3, 1\/4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (128 - -8) + 1 + -3 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 262617646\nAnswer: -3\/131308823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f - f)*(2 + 1 - 2) + ((-2 - 1 + 2)*(-67 - 5 - 34) - 1 + 1 - 2)*(-2*f + 2 - 2).\nAnswer: -210*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -252?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.9 + 7.9. Let o = -23\/26 - -5\/13. Let v = -267 + 270. Put o, v, w in ascending order.\nAnswer: w, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000097073472 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 114820981723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s. Let d(i) = -3*i**2 - 3*i - 2. Let r(w) = -d(w) - 2*n(w). Suppose -16 = 3*q - 7. Determine r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 10, 4, -0.019?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1 - -7) + -13 + 13 - -9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppj when four letters picked without replacement from jflljphlpppljfpljpj.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c + 0*c)*(-2*c + 2*c + c) + (2*c + 3*c - 4*c)*(c - 2*c - 2*c) - 355*c**2 + 372*c**2 - 167*c**2.\nAnswer: -151*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 13809\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Let o = 1 - i. Let z be (o + -1 + -2)*-1. Solve 3*r = -3*g - z, g + 5 = 6*g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9482 > -9471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/21)\/((-4)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.44 or -1486?\nAnswer: -1486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010110232 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3591075*m. Let j(z) = 15*z**2. Give q(j(v)).\nAnswer: 53866125*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 190227*r + 1902570.\nAnswer: -3*(r - 10)*(r + 63419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 764 divide 382896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 72*n**2 - 266*n + 423. Let r be m(-68). Solve -103 + r = -11*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -70*a**3 + 976*a**2 + 3. Let x(r) = -r**3 - 1. Let w(g) = -p(g) - 3*x(g). Find the third derivative of w(c) wrt c.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 3:11 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 4:14 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3720 and ((-6)\/(-13))\/((-333)\/(-12987)).\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/3 - 295*a**2\/3 + 892*a\/3 - 596\/3 = 0. What is a?\nAnswer: -298, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -200784.00104 + 200798. Let w = -14 + i. What is w rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -1\/11, -0.7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115254 + 0.1764.\nAnswer: 115254.1764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 7\/20*p**5 + 3\/20*p**6 + 0*p - 5*p**2 + 0*p**4 + 0 + 0*p**3. What is the third derivative of r(s) wrt s?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(273\/(-49))\/13?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44)\/(-10) + (-4)\/10. Suppose 0 = -t*z + 46 + 98. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g + 35. What is x(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000415319 to seven decimal places.\nAnswer: 0.0000415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 7\/65308 (c) -2\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 20*o + 100. Determine s(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tppuwvh. Give prob of sequence vutp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2\/15, 11, -4 in decreasing order.\nAnswer: 11, -2\/15, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 185\/3 - 62*u + 1\/3*u**2 = 0.\nAnswer: 1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -56\/159921?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 392, 418, 464, 530?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10888, -33162, -55436, -77710, -99984, -122258?\n\"Answer: -22274*k + 11386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298, 88, -532 in decreasing order.\nAnswer: 88, -298, -532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(85)*-2)\/(sqrt(5) - -1*sqrt(180)) + 2)**2.\nAnswer: 32*sqrt(17)\/7 + 1284\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*z + 7*z - 5*z)*(1 + 3 - 6)*(5*z - 5*z - 6*z) in the form s*z**2 + c*z + l and give s.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4106767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 283 + 31*f - 66 - 27*f + 416.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 5*a + 4. Let k be (142\/(-3))\/((-2)\/(-3)). Suppose 0 = u - 3*o - 70, -5*o = 2*u - 168 + 6. Let w = u + k. Determine j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 5, w: 1, c: 12}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 15. Is 144\/(-56)*28\/t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 0 + 0)*(-5 + 3 + 4)*(2*z - z - 2*z)*(2 - 5 + 1).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 515*v**2 + 3850*v.\nAnswer: -5*v*(v - 110)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194.7 + -195.14. Which is the closest to 0? (a) 4\/5 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:58 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*q + 23, -z - 5*q = 335. Let s = -640 - z. Round s to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 301\/35)\/(18\/(-10))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2164*a**2 + 10 - 2170*a**2 + 4408*a**2)*(-a - a + a) to c*a**3 + o + i*a**2 + l*a and give c.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 99.85534 decades?\nAnswer: 0.9985534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48731262 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2. Let s(y) be the first derivative of 1\/3*y**3 + 6 + 0*y**2 + 0*y. Calculate d(s(w)).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**3 + 2*k**2 + 2*k + 1. Suppose s = 59 - 57. Let z be s\/3*-3*4\/8. Calculate t(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 41. Solve -2*h = -0*h + x + 15, -4*h + x - 15 = v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 0*f**4 + 3*f**4 + (2*f**2 + 0*f + 0*f)*(3 + 2*f**2 - 3) + f**4 - f**4 + f**4 - 3*f**4 + 4 - 4.\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.043, 1, -1\/3, 2.7 in increasing order.\nAnswer: -1\/3, -0.043, 1, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 847 = 14*z. Calculate the highest common factor of 154 and z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17) + 1)**2 + -2.\nAnswer: 2*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6857.\nAnswer: 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5526147.\nAnswer: 3, 11, 151, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - b - 120. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 368 - 142. Suppose j - r = -4*j + 4*u, -93 = -2*j - u. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55426 and 23828.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.1206 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 2:22 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259324 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3952 is divided by 292?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126)*2*3)\/sqrt(7))\/(-3*(4*sqrt(726) - sqrt(726)) - sqrt(726)))**2.\nAnswer: 27\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10547?\nAnswer: 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 943162909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(190) - sqrt(190))\/sqrt(10) - sqrt(19))**2*-6*-1 + 1*(2*(sqrt(1900)*-1 + sqrt(1900) + sqrt(19)))**2.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 - 6*q - 10. Let t be x(-5). Let r be (-30)\/t - (-15)\/13 - -1. Solve 0 = r*m + 4 + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-126)\/(-1323)*(3 - 6). Which is the third biggest value? (a) -4 (b) -220 (c) 1\/4 (d) s (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -1.7559?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*y = 2*n + 60*y - 18068, 9034 = n + 5*y. Is 24 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130 - 7*l - 130)*(0 - 5 + 1) + 3*l - l - 3*l + (0 + 0 - 2*l)*(3 + 0 - 1) - 2*l - 2*l + 2*l.\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*t + 1 + (-2 + 2 + 1)*((3 + 3 - 7)*(19*t - 81*t - 87*t) + (-3 + 2 - 1)*(-t - 2*t + 2*t)).\nAnswer: 149*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -217154113 to the nearest 1000000.\nAnswer: -217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m. Let t(w) = -w. Let k(b) = 6*h(b) + t(b). Let j = 317 + -296. Let c(a) = -j - 42 + 63 - 2*a. Determine k(c(g)).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -728.05 - -727.95. Let o = 297 + -2075\/7. Put o, -3, t, 4\/3 in ascending order.\nAnswer: -3, t, o, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-84)\/8*(-2 + (-248)\/(-28)). Calculate the common denominator of -44\/5 and 44\/p*510\/100.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 5*a**2 - 68*a + 16. Let s be v(11). Let f be 696\/8 + s - 1. Calculate the highest common divisor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*l**3 - 2*l**2 + 0*l**2 + 28*l**3)*(-l**2 - l**2 + l**2).\nAnswer: -4*l**5 + 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1981375129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 843 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: Let v(u) = u**3 - 156*u**2 + 1866*u - 220. Give v(143).\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/120761 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-12))\/((-26)\/(-198)*(-303)\/(-101)).\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, w: 1, u: 1, d: 1, g: 1}. Give prob of sequence gsdw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-8)*y*y*y*y**(-2)*y assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (1\/2)\/(9\/4608)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4002 a factor of 4194945376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 184*i - 909. Let j be r(5). Which is the smallest value? (a) -3\/5 (b) 2\/23 (c) -2\/7 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:55 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -219969531?\nAnswer: -219969531.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 8*d**2 + 12*d + 7. Let m be v(10). Suppose -q + m = -4*y, 5*q - 211 = 4*y + 96. Is (y - 0)\/(-1 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95004703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/5, 5, 0.5, -2987, 1.732?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49780899?\nAnswer: 3, 7, 87797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 97*c + 36*c + 125 + 141 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*t - 572, 4*t - 803 - 681 = -5*j. Calculate the highest common factor of j and 736.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47241 and 9309?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192*d**4 + 2*d**3 + 545*d?\nAnswer: -2304*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6382 + -5642. Calculate the greatest common divisor of 4736 and q.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 754, 737, 714, 685, 650?\n\"Answer: -3*d**2 - 8*d + 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/(-306) - (-8)\/36. What is the second smallest value in 3\/8, 1\/6, u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157.4 - -155.2. What is the closest to 2\/9 in -0.2, m, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvjjc. Give prob of sequence jj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121222425231 + -1?\nAnswer: -121222425232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16418*y - 16843*y - 16756*y + 67618*y - 16647*y.\nAnswer: 954*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -187*o**3 + 20*o**2 + 79*o + 51. Is a(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + a2a?\nAnswer: a3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**4\/54 - 2*u**3\/9 - 42*u - 23. Let v(s) be the first derivative of o(s). Factor v(f).\nAnswer: 2*f*(f - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltl when three letters picked without replacement from tllllltlllllltllttt?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/1*((-153)\/21 - -8). Solve 0 = -a + 129*g - 130*g - 4, -a + 2*g = -h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 6*u - 2. Let f be y(4). Let i = f - 5. Let r be 6\/5 - 24\/(-40). Do i and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3311*m**2. Let w(p) = 4*p**2. Give k(w(j)).\nAnswer: -52976*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 - 68366*l + 615449. Give i(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-133)\/(-76) - 153\/(-68). Solve -6*q = -g - j*q - 4, 2*g = -4*q + 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602856.\nAnswer: 2, 3, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 9*q + 17. Let x be z(-2). Solve -5 = -2*b + 5*f, -4*f = -x*b - 2*f + 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -132870913?\nAnswer: 132870912.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 148375*k + 148372*k - 15 = 0, 3*s + 2*k + 10 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -523942, -1047881, -1571820, -2095759, -2619698?\n\"Answer: -523939*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 0*v + 0 + 7*v + 11. What is the tens digit of i(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 z when four letters picked without replacement from iziiiiii.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {h: 3, m: 7}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -8739?\nAnswer: -872a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 9*g**2 + 3*g + 11. Let a(y) = y**3 + y**2 + y - 1. Let h(s) = -2*a(s) - l(s). Is h(5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - c**2 + c - 9. Let n be m(0). Suppose 0 = -16*p + 11*p + 135. Let q = p + n. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 46*g**3 - 8*g**2 + 18*g + 7. Let m(d) = d**3 + 8*d**2 - 3*d - 21. Let l be m(-8). What are the prime factors of o(l)?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + s = 17, -3*j = -8*j - s + 65. Suppose j*l + 12069 = 58233. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -27\/7 (c) 6 (d) 77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**2 - w**5 + 6*w**2)*(-2 - 3 + 4 + (1 + 0 - 3)*(-1 + 1 - 2)).\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -37 (c) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*b**4\/7 - 62*b**3\/7 - 1154*b**2\/7 - 3890*b\/7 - 300 = 0. Calculate b.\nAnswer: -5, -2\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + w**2)*(-4 + 4 + 2*w**2) - 35 + 35 + 26*w**4.\nAnswer: 28*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -44635881.1 to the nearest 1000.\nAnswer: -44636000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -10*f**2 + 3*f - 88. Calculate k(-7).\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 156078.\nAnswer: 156078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + (19 - 12) - (-35 - -2)) + 7?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 59836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2. Let i(x) = -x**2 - 10*x - 7. Let f(l) = -i(l) + 2*p(l). Let o be f(8). What is the highest common factor of o and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5945\/(667\/(-23)))\/(((-7)\/((-70)\/75))\/(-3))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3520 a factor of 4201347386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 41*o - 9. Let n(s) = 125*s - 26. Let w(a) = -376*a + 78. Let m(c) = 7*n(c) + 2*w(c). Let b(j) = 6*m(j) - 17*x(j). Is b(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*g**3 - 68*g**3 - 82*g**3 + (-2*g**2 + g**2 + 2*g**2)*(0*g - g - g))*(3*g - g**2 - 3*g).\nAnswer: 91*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*i + 2*c - 7*c, -2*i - 4*c = 8. Is 34 a factor of i\/(-39) + (-880)\/(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 760*n - 1. Is i(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4 - 4 = 2*n, 5*s = -20. Suppose -7*v + 10 = -2*v. Let f be (-3 + -1)*(-2)\/v. Put n, -1, f in increasing order.\nAnswer: -1, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/12)\/((-3)\/(-108)). Suppose -t = 3*q + 116, -o = q - 4*t + 2*t. Is (-1)\/5 + (-19408)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680910559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0.4. Let b = 11 - 10. Which is smaller: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 410 + -413. Which is the nearest to s? (a) -5 (b) 0 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8508*r + 351 - 353 + 309799*r.\nAnswer: 318307*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4458 + -4458.0000001222. Round o to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/750 + (-36696)\/(-495).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*f + 1523 = 0, 0 = -4*x - x + 5*f - 1930. Let s = -182 - x. Suppose -6*a = -s + 39. Calculate the remainder when 78 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 25. Calculate the common denominator of 69\/8 and (-61)\/q + 3 + -3.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 54\/5 of a millisecond?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 + 35*w**2 - 148*w - 26. Let h be o(14). Put h, 3\/4, 2 in ascending order.\nAnswer: h, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*r - 4*p + 13, 3*r + p - 7 = 0. Let w = 5 - r. Suppose -w*k = -c - 3*c - 32, 3*c + 39 = 4*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 41, -3.2, 6, -3\/2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -472*j + 476*j + 2*a + 4, 4 = -4*j - 3*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v**2 + 7*v - 2. Let c(u) = -4*u**2 + 3*u - 1. Give -7*c(m) + 3*z(m).\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 164 = -g + 2*g, 2*m + 4*g = -96. Let l be (2 - -1)\/(m\/(-36)). Let x = l - 5\/2. Which is the second biggest value? (a) 0 (b) x (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*i + 504 = 0, -2*w + 1213*i - 1217*i + 222 = 0. What is the remainder when w is divided by (-2)\/(-3 - -1) + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314215907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486032933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 11 = 5*u - 4, -4*c = -5*u + 16. Suppose -5*f = 3*h - 3, -h = 2*f + 4 - 5. Do c and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470829582 to the power of 1\/2, to the nearest integer?\nAnswer: 21699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 8:49 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-11 - 22)) + -41.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 14, 17, 2 in increasing order.\nAnswer: 2, 4, 14, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/19 - 19194\/399. Let d be 817280\/v*(-1 + -149). Round d to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = 3*v + 369. Let t = v + 595\/3. Factor -1\/3*u**4 + t*u**5 + 0*u + 0 + 0*u**3 + 0*u**2.\nAnswer: u**4*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 0*i + 0*i**4 + 2\/5*i**5 - 3\/2*i**2 + 1 + 0*i**3. What is the second derivative of s(w) wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 5:29 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n + 510 = -39*n. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101.999791 + -102. What is i rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087861 divided by -3?\nAnswer: -1087861\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/28*((-3)\/(-66)*4 + (-968734)\/8151).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5\/4, -334, 9\/4, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**3 + 2*j + 1. Let t be c(-1). Suppose 0*n + t = n. Suppose -3*o + n*o - 266 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 3*p + 2*p)*(2 + 0 - 1) - 65*p + 68*p + 7 - 8 in the form o + t*p and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**4\/4 - 3*l**3 - 9*l**2\/2 + 7*l + 4. Let k be a(-7). Calculate the common denominator of 89\/8 and (-30)\/(-20) - 86\/k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196232814 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55661 (base 8) to base 5.\nAnswer: -1222343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2. Let f(c) = 92907*c. What is f(v(k))?\nAnswer: -278721*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36406 and 509684?\nAnswer: 509684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 19405*w - 2. Let r(z) = -2*z + 257. Determine i(r(g)).\nAnswer: -38810*g + 4987083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, v: 4, x: 4}. Give prob of sequence vxx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 36*b + 74 = 0, d + 2*b + 4 = 3*b - 0*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + n - 5*b = 14, -3*n - b = -8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 13*y + 18. Let i be o(-14). Suppose 8*j = 12*j + i. Is 3 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in -2\/7, 4, 2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 209.2 + -209. Let f be (-4)\/(-10) - 29\/10. What is the closest to 1 in j, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111028437.653 + -110977772. Let r = -50596 + n. Let v = 0.053 - r. Round v to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32964*f*m*q**2 - 10*f*q**2 + 3*m*q**2 + 45592*m*q wrt f?\nAnswer: 32964*m*q**2 - 10*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nllenekknnkeke. What is prob of picking 2 e?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 155551 and -832?\nAnswer: -129418432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5040 - 634. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1102 (base 3) to base 12\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/(-7))\/((-2)\/6). Let d be (0*u\/(-6))\/3. Factor 4*o**3 - 4*o + 5 - 2*o**4 - 3 + d*o**4.\nAnswer: -2*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -977 + 981. Which is the fourth smallest value? (a) 2\/7 (b) w (c) -2 (d) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -258\/7 or 0.2?\nAnswer: -258\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8066 - 8065. Which is the closest to 6? (a) 0.204 (b) 0.5 (c) 4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.6 + 5. Let p = -1.5 + 0.5. Let s = p - 4. Which is the biggest value? (a) j (b) 0.1 (c) s (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 7*j**2 - 8*j - 7. Let x(g) = 13*g - 5*g - 9*g + g**2 - 1. Let a(u) = -2*b(u) + 14*x(u). Find the second derivative of a(i) wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 5*i**2 - 4. Let w be h(5). Let l = 0.184 + 0.816. Which is the closest to l? (a) w (b) -3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/1694 and 107\/53526?\nAnswer: 4121502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + 1.06. Let j = 0 + 4. Let y = 4 - j. Which is the nearest to p? (a) y (b) 1\/4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 h, and 1 q when four letters picked without replacement from hhhhqharhaqra?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21118371294711 + -21118372479080.1019949. Let t = n - -1184369. Let b = t - -0.102. What is b rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 472974.2 millimeters?\nAnswer: 472.9742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1007 by -1.\nAnswer: -1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6510*t + 6568*t - 1740 = 0 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(14) + sqrt(224) - sqrt(14)) - (sqrt(28)\/sqrt(2)*-3 + sqrt(14)))\/(sqrt(22)\/(sqrt(396)*-1)).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(468\/(-984)) - (10 - 0)\/(4 - 2)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 10. Let v(m) = m - 1. Let y be v(-4). Let n be w(y). Is 2\/(-6)*-183 + (n - 1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*o = 458*o - 1046*o + 2145 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -2 (b) 0.1 (c) -1\/6 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqqqpppqpppqfqppgq. What is prob of sequence gqpp?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2994482831 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, g: 8, m: 6}. What is prob of picking 1 m, 2 g, and 1 k?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*q + 5*m, m = 3*q - 7 - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -15. What is the second smallest value in -2, -4, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1022\/3 + -3068\/9. What is the nearest to -2\/5 in 33\/5, -0.4, o, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 952 - 962 = -10*c. Let v(n) = n**3 - 5*n**2 - 5*n - 1. Let s be v(6). Suppose 0 = -2*f + 9 + 3. Solve -s*h = f - c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 49*b**2 - 49*b + 4. Determine z(48).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -15.03. Let y = -0.322 + -1.648. Let u = p - y. Which is the biggest value? (a) u (b) -0.5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 87*z - 66*z + 7*z - 8*z.\nAnswer: -154*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 11*u + 2. Let b be o(9). Suppose 3*w - b = -8. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 439*n**5\/10 + 43*n**4\/6 + n**3 + 624*n**2 + 3*n - 1. Find the second derivative of y(u) wrt u.\nAnswer: 5268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 1048*y + 8455. Determine o(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 12 = 9*d. Suppose -d = n - 4*q, 0*n + 2 = 2*n - 5*q. Is ((-1)\/((-4)\/1706))\/(n\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000354166324 to six decimal places.\nAnswer: -0.000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from rrsrsgrrrsrrrgr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 + 59 = 22*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*c**4 + c**3 + 29376*c**2 wrt c.\nAnswer: -1704*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 1 - 42. What is the remainder when l is divided by (204\/(-12) - -23)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 + k**3 + 4*k**3 + k - k + k - 2*k**3 + (k - 1 + 1)*(-2*k**2 - 5*k**2 + 2*k**2).\nAnswer: -6*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/81 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -94, -91, -78, -49, 2, 81, 194?\n\"Answer: p**3 - p**2 - p - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 237643*k**2*m**2 - 7*k**2*m - 2*k**2 + 3*k*m**2 - 5*k*m - 15*m**2 - 8590*m - 2 wrt m.\nAnswer: 475286*k**2 + 6*k - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 118, 96, 74, 52, 30, 8?\n\"Answer: -22*g + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -121?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*i + 22*i**2 + 187*i + 32*i**2.\nAnswer: 54*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 40 = 6*z. Let d be ((5 - 2) + z)*6\/(-8). Suppose 5*q = d*n - 195 - 225, 3*n - 426 = 3*q. What are the prime factors of n?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -17 - 10 - 11 + 44 - 11 - y. Suppose -3*l = -4*p - 6*l - 4, 0 = 3*l + 12. Let i be (-2)\/(-5) - p\/5. Give o(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, t: 1, c: 6}. What is prob of sequence utu?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222 - -121002120202?\nAnswer: 121002121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5*g + 1)*(g - 3*g + 3*g) + (5*g - g - 2*g)*(2*g - 2*g - 3*g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 952, 1\/4, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -24*a + 30*a - 4*a**2 + 3*a**2 - 2. Determine v(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 160\/6)*(-1 - 2). Suppose v = n - 3*v - 36, q = 5*n + 2*v. Calculate the greatest common divisor of 50 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155965 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (2 + -71)*(4 - 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -8 - (1141 + -1092 + 29 + -1).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 873, 3501, 7883, 14019, 21909, 31553?\n\"Answer: 877*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)*f**27*((f*f**(-3\/22))\/f)\/f**(-1\/11))**(-24\/11) assuming f is positive.\nAnswer: f**(-5532\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5864.137 - -5868. Let f = t - -0.137. Which is the nearest to -17? (a) f (b) 1\/2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -764*t**3 + 1054*t**2.\nAnswer: -4584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 7 - 12)*(-2*o - 10 + 10).\nAnswer: 68*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (0 + -2 + 5 + -5). Solve 0*d - d + 10 = q*c, -5*c + d = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578518873 a multiple of 1187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5140833?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 10\/9 (c) -2\/181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b9 + 3?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1271 + -763. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 15*x**4 + 18. Let g(v) = -7*v**4 - 9. Let n = 6 + 6. Suppose -8*q - n = -14*q. Let f(s) = q*m(s) + 5*g(s). Differentiate f(r) with respect to r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(0\/(-2) - 14\/28) + 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7909 - 39547\/5. Sort -2\/9, -0.05602, k in descending order.\nAnswer: -0.05602, -2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58175 by -1.\nAnswer: -58175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + z = -8, 2*b + 8*z - 3*z = -12. Let v be (b\/(-3))\/((-12)\/90). Suppose 3*y - v = -i - 3, 0 = -4*y - 4*i - 4. Sort 0, 1, y in ascending order.\nAnswer: 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -11. Let u = 0.4 + -1.3. Let a = u + z. Sort 1, a, 2 in decreasing order.\nAnswer: 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydyd when four letters picked without replacement from ydyyydyd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 5:04 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 10*r + 30. Suppose 5*m + 58 = -3*d, m + 11*d = 6*d + r. What is the tens digit of (-4)\/m + 6\/(-21) + 96?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 take away -69086.388?\nAnswer: 69086.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93\/490 + 1\/98. Let g = -0.27067 + -0.22933. Which is the nearest to 118? (a) q (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -17*d - 35. Let b(a) = 5*a + 10. Let u(j) = 14*b(j) + 4*v(j). Let h(t) = -9566*t. What is u(h(r))?\nAnswer: -19132*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -520404 + -3232?\nAnswer: -523636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + 3 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11173633 is divided by 5586808?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140 + -172. Let w be b\/(-54) + -6 - 20\/(-9). Factor 23\/7*j + 2\/7 + 3*j**w.\nAnswer: (j + 1)*(21*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 260 = -7*s. Which is smaller: s or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1702, 6802, 15300, 27190, 42466, 61122, 83152?\n\"Answer: -k**3 + 1705*k**2 - 8*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 6:55 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.249 or 157?\nAnswer: -0.249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/6, 7\/1346, 3, 2, 5, 0.4 in ascending order.\nAnswer: -1\/6, 7\/1346, 0.4, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 + o**4 + 2*o + 0*o**3 - 2*o**3 as c*o + u*o**3 + h + t*o**2 + f*o**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18.94434 centimeters?\nAnswer: 189.4434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-78)*(-12)\/(-9).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 7*q + 4. Let x be k(-6). Let c = 47.1 - 41. Let u = -1.1 + c. What is the second smallest value in -0.4, x, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 8 = -5*r. Let z(c) = -2*c - 1. Let d(s) = s**2 + 5*s + 2. Calculate r*d(v) - 5*z(v).\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 521 (c) -1 (d) 1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*v - 4)*(1 + 5 + 4 + (1 + 0 + 1)*(2 - 1 - 2) + (-1 - 1 + 5)*(-5 + 4 - 1)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -1402829336?\nAnswer: 1402829337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50100202 (base 6) to base 4.\nAnswer: -11113220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 17 = 1231. Sort -0.3, -5, c in ascending order.\nAnswer: c, -5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(153)\/(sqrt(729) - sqrt(729)*-2) + (sqrt(102)*-2*-5)\/sqrt(6)).\nAnswer: -1355*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8)*-1)\/((-42)\/315*-5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, 2, 823, -8 in increasing order.\nAnswer: -107, -8, 2, 823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r + 3. Let n be z(3). Suppose -63 = -n*q + 18*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15078 + 15078. What is the third smallest value in -0.5, -24\/17, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26, 105, 238, 425, 666, 961, 1310?\n\"Answer: 27*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6719618271 to the power of 1\/3, to the nearest integer?\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -374 - -531 - (28 + -29 - (5 + -2) - -10)?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*k**2 + 67*k**2 - 17*k**2 + (2*k + 2*k - 3*k)*(8*k - 4 + 4) as b*k + w*k**2 + z and give w.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 22*p**2 - 7*p + 14. Let q be m(19). Let a = -468 + q. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1788633 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 12 + 24 = 0. Solve w*d - 8 = 8*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 18*r**2 + 4*r + 17. Is s(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -36924?\nAnswer: 36928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 p when three letters picked without replacement from {p: 7, b: 4, v: 3, x: 1, f: 1}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, 32, 5, 15.73?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j**3 + 11*j**2 + 4*j. Let c(h) be the first derivative of 5*h**4\/4 - 2*h**3 - h**2 - 273. Give 11*c(z) + 6*d(z).\nAnswer: z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by 19\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 3. Let o be n(-5). Let h = -4 - -8. Suppose 2*m = -0*m + h*p - 4, -4*m - o*p = -12. Solve -m*y = -3*z - 5, -5*z + 2*z - 2*y = 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 63. Suppose -27*n + v*n + 8 = 0. Factor 100*l**2 - 104*l**n - 6 + 22.\nAnswer: -4*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-200 - -1) + 0 + 0. Calculate the common denominator of (-450)\/(-360)*(-80)\/66 and 2\/((-60)\/h) + -2.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*b = -138*b - 15. Let g be 2*(b + -4) - 2. Let q = -3 - -2.7. Sort -5, g, -1.3, q in ascending order.\nAnswer: -5, -1.3, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2120, 8496, 19114, 33968, 53052?\nAnswer: 76360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 16 = -y. Let a = y + -7048. Let b be ((-121)\/2 + -2)*a. Round b to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2 + 8*o + 8. Suppose -2*a = -5*g + 140, 5*g - a - 112 = g. Suppose -5*q - 10 - g = x, x - 26 = 3*q. Let w(c) = c + 1. Calculate q*w(h) + v(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 7:36 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-6))\/((-6)\/(-48)). What is the highest common factor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 1.3, 16\/9, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18230, 36454, 54692, 72950, 91234, 109550, 127904, 146302?\n\"Answer: v**3 + v**2 + 18214*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -206 or -199?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214 by 7.\nAnswer: 214\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054099 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15415 divided by -19?\nAnswer: -15415\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -7)\/(42\/6 + -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = j - 10, 65*f = 62*f + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 5*p + 909900000 = 0. Round p to the nearest one million.\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*g**2*z**3 + g**2*z + 556990*g*z**2 + 3*g - 478568*z**3 wrt z.\nAnswer: 42*g**2 - 2871408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 47 = 3*t, t = -t - 2. Suppose -9441 + 29593 = y*j. Is j a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f + 1 + 7 = 32*f + n, -6*f - 24 = -18*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 285366 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 73043, 147431, 221819, 296207, 370595, 444983?\n\"Answer: 74388*c - 1345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, p: 2, w: 1}. What is prob of picking 1 o and 2 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-160)*5*(-12)\/45?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1859 + 1562*s + 926 + 130*s + 933)*(0*s - 3*s + 4*s)*(-s + 0*s + 5*s) to the form v*s + k + d*s**3 + g*s**2 and give d.\nAnswer: 6768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2 + 3. Let l(x) = -56*x**2 + 34. Let u = -1547 + 1479. Give u*v(b) + 6*l(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 12*c**2 - 11*c - 21. Let u be w(13). Let k(g) = 14*g**2 + 9*g - 41. What is the hundreds digit of k(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 85*u - 90*u + 25, -4*u = 15*d + 2 + 35 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -6, -11, -20, -33, -50?\n\"Answer: -2*w**2 + 5*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/(-19))\/(-3)*2145\/(-23595).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4\/7 (c) 928 (d) 0.08 (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172 + -83. Let y = j - 48. Let h = y - 27. Solve -2*z + 1 = -5*q + 5, 4*q = -2*z + h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 + 490\/8 + -3. Suppose j*s + 12 = 52*s. Sort -4, 5, -5, s in descending order.\nAnswer: 5, s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -14*t - 4825. Let s(q) = -9*q - 3198. Determine -5*c(y) + 8*s(y).\nAnswer: -2*y - 1459","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 3826339753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/42)\/(7692\/(-5769))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -19*u + 9*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1085 + 32.5415. Let y = b + -32.8007. Round y to 3 dps.\nAnswer: -0.151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 23, 0.2, -3\/2, -16, 1.2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*-3*-2*sqrt(720))**2.\nAnswer: 14929920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/21 (b) 23 (c) 0 (d) 2\/11 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-25)\/5)\/(-5) - 4. Suppose n + 3*r = 2, 5*n - 3*r + 1 = -25. Put -1, n, i in decreasing order.\nAnswer: -1, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -6, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 466008 + -212023. Suppose 2 - 3 = -v - h, 2*h + 8 = 3*v. Suppose v*z = 3*l + w, 127911 = z - l + 916. What is z rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:54 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y**2 - 14*y + 14. Let f(s) = -s**2 - s + 1. What is -3*c(j) + 42*f(j)?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w - 2. Let m be (20\/(-30))\/(2\/(-12)). What is s(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-72)*(-5400)\/1400)\/((-3)\/(-2))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(495)\/(sqrt(11)*1))**2.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 40676967?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, g: 7, k: 3}. Give prob of picking 2 q and 1 k.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 510*h**3 + 14*h**2 - 9*h + 22. Let d(o) = 511*o**3 + 12*o**2 - 8*o + 19. Calculate 6*b(i) - 7*d(i).\nAnswer: -517*i**3 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/(4\/(-16)) + -70. What is the remainder when 4 - i\/4*2 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -617 and -4394?\nAnswer: 3777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/30 and 3\/(-1404)*149\/2*-4.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 6 (c) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 506*d**2*z**4 - 3*d**2 - 2*z**5 + 1071*z wrt z?\nAnswer: 6072*d**2*z**2 - 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1 + (sqrt(500) - 2*sqrt(500)) + -1)*-6)**2.\nAnswer: 2880*sqrt(5) + 18576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 i when three letters picked without replacement from inini?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184769*w - 7*w**2 - 184927*w - 27*w**2.\nAnswer: -34*w**2 - 158*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.7 - -69.7. Let m = 60 - t. Which is the smallest value? (a) m (b) 0 (c) 0.4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -2*y**3\/21 - 17*y**2\/7 - 32*y\/7 - 775. Factor n(v).\nAnswer: -2*(v + 1)*(v + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 857 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 27. Suppose d*l = r + 9*l - 351, -4*l = r - 345. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 183 = 105. Let c be (-264)\/w + 1\/4. Solve -3*q + 5 = -5*o - 4, c*o = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3708*a**3 - 79*a**2 - 69*a. Let y(p) = 7419*p**3 + 159*p**2 + 120*p - 1. Let c(n) = -7*r(n) - 4*y(n). What is the third derivative of c(d) wrt d?\nAnswer: -22320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:43 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**3*u**3 - 3620*f**3*u**2 + 96*f**2*u**2 + 105*f*u**5 - 977*f*u**3 - 2*u wrt u.\nAnswer: 24*f**3 + 6300*f*u**2 - 5862*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 31*s. Let a(f) = -3*f**2. What is u(a(l))?\nAnswer: -93*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*z = -7*z + 2010, 4*z + 1986 = 2*y. Suppose -401 = -20*s + y. Calculate the smallest common multiple of s and 25.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-20)\/(-8) - (2 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2480*y - 4917. Calculate b(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -232 (c) -1\/4 (d) 0.2 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 17. Let k be (6\/4)\/(q\/140). Calculate the greatest common factor of k and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3\/5 - 308*i**2\/5 - 23227*i\/5 + 14496 = 0.\nAnswer: -160, -151, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 5)\/(2 - 0). Suppose -3*j = -f*z + 12 - 0, 4*z - 20 = 2*j. Suppose -462 = 9*k - 42*k. What is the least common multiple of z and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -8) + 1*(2 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 19, 22, 27?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8*3\/15 - 2)\/2. Sort t, 2\/11, -11, 2\/5 in ascending order.\nAnswer: -11, t, 2\/11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 319677 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/(-36) - 7\/(-28)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20827 + 31570. Is 3\/18 + 2\/36*n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 222803 + -627670.\nAnswer: -404867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -227694*b**3 - 5*b + 30681.\nAnswer: -1366164*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*j = 6. Suppose j*k = -5*s + 12, -4*k = -s - 2 - 14. Suppose c - 2*n - 30 = -0*n, s = -2*c + 2*n + 54. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5 + 52*k**4 + 366*k**3 + 584*k**2 - 232*k - 768 = 0. Calculate k.\nAnswer: -3, -2, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*l = 6972, 2*l - 89 = -f + 2235. Round f to the nearest ten.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**0*i*i))\/i**(-4\/3))**(2\/15)*(i\/((i\/(i*i**(-6\/7))*i)\/i*i)*i**7)\/(i**(-2\/17)\/i*i**(2\/3)) assuming i is positive.\nAnswer: i**(34834\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0224 and -1.\nAnswer: -1.0224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(45\/(-42)) + -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 0*d**2 - 12*d**2 + 4*d**2.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)\/(l\/l**(3\/7)))\/((l**(2\/5)\/l)\/l)**(-2\/51))\/((((l**(-3\/7)\/l*l)\/l)\/l*l*l**(-2)*l)\/((l*l**5*l)\/l*l**(-1\/8))) assuming l is positive.\nAnswer: l**(113089\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 917358.36 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*y + 14, 4*l + 6 + 10 = 0. Let b = -1 + y. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, l: 6, t: 1, y: 1, r: 2, i: 2}. Give prob of sequence eylt.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xllllxo. What is prob of picking 2 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - 3. Let h(c) = c**2 + 4*c - 6. Let x be h(-5). Let i be (x\/2)\/(4\/n). Solve i*o + 4 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 10*u**2 + 28*u + 3. What is the remainder when 395 is divided by s(-3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bppbbppbxoooccxbxoc. Give prob of picking 1 b, 1 x, and 1 c.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*b - 31 = -5*z - 281*b + 16, -10*b = 5*z - 65 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7230799 + -5?\nAnswer: 7230794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-953*c**3 + c**4 + 537*c**3 + 526*c**3)*(1 + 3 + 0).\nAnswer: 4*c**4 + 440*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**13)**8)**3 assuming k is positive.\nAnswer: k**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141 and 44697.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*s - 1. Suppose s*b = -5*o, 1 + 3 = -3*b - 2*o. Let v be (-9)\/6 + (-26)\/b. Solve 15 = -5*u - 5*c, -5*u - 4*c - 8 - v = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 35*s**2 - 37*s + 156. Let a be j(34). Solve a*k = 56*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (451\/(-4))\/((-870)\/156). Let h = -101\/5 + d. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 + 10*i**3 - 3*i**3 - 2*i**3 + 5*i**3 - 2*i**3 + (4*i + 3*i - 5*i)*(-2*i**2 + i**2 + 0*i**2) in the form j*i**2 + l*i + s + u*i**3 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 3. Let v be f(4). Let y(o) be the second derivative of -o**3\/6 - o**2\/2 + 45*o + 6. Let z(k) = k**3 - 2*k - 2. Determine v*z(u) - 2*y(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 - 2*m + 2*m)*(-5*m - 9 + 7*m - 1) - 4*m**3 - m**3 + m**3 + (0*m + 0*m - m**2)*(0 - 2*m + 0) as f + x*m**3 + o*m**2 + i*m and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -687242616 by -3.\nAnswer: 229080872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) 0.03 (b) 3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2*14 + 3. Suppose -2*r - 4 = -2*c, r + 3*r = c + j. Let m be c\/(-10) - (-53)\/5. Solve b + 0*p - p - 10 = 0, -p = 3*b - m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 5:32 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 333 - 222. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22851.6133 and 0.3?\nAnswer: -6855.48399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 580410533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61472313 to the nearest integer?\nAnswer: 7840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5232 - 5236 + 10470 + 584*k**2)*(-4 + 3 - 1).\nAnswer: -1168*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92839365 and 1777?\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4229, 8460, 12691, 16922, 21153, 25384?\n\"Answer: 4231*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 1. Suppose -4*i + 3*p = p - 80, p - 86 = -4*i. Suppose i*j - 4 = 20*j. Let k(d) = -1 - 6*d + 3*d + d. Determine j*v(c) + 3*k(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -141294+264758\nAnswer: 123464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 5\/6*a**3 + 0 + a - 5\/2*a**2 + 5\/12*a**4 - 3\/20*a**5. Let n(r) = -4*r**3 + 6*r**2 + 6*r - 6. Give -5*n(j) + 6*v(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 18*l - 15. What is the units digit of g(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 27 = -7*h. Let c(k) = k**3 + 5*k**2 - 6*k + 8. Let b be c(-6). Let w = h + b. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3\/3 - 250*r**2\/3 - 85*r.\nAnswer: 5*r*(r - 51)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) -2\/9 (c) -0.6 (d) -2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**3 + 84177*h**2 + 57*h + 22142 wrt h?\nAnswer: -36*h + 168354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/105 - -26\/105. Let x = -4 - -3.9. Let s be (1 + 1*-2)*-1. Which is the closest to 1? (a) m (b) s (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((2 - 2) + -2 + -10)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + 5*t + 12. Let a be w(-8). Suppose -3*r - 2*l = l - a, -3*r = l - 236. Does 4 divide 21\/(-14)*r\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 + -179. Solve 20 = -2*m + y*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28.21 + 28. Let o = 4.79 - b. What is the nearest to -0.6 in -2\/9, 3\/4, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 217, -0.4, -1\/5, 0.02, 273\/2, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 144 - 22*b - 79 - 65. Let c(a) = -6*a - 4. Let o(w) = -w - 1. Let q(d) = c(d) - 4*o(d). Determine s(q(u)).\nAnswer: 44*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 23)*(-179 + (-51205)\/(-285))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-612)\/1632 - (-2 + (-3)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 - 7*b - 6. Suppose -5*n + 20 = -5*l - 3*n, l + 4 = 2*n. Determine t(l).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1190 - 1185 - 260350*v + 260351*v.\nAnswer: v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 239112 - 170272. Is 63 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**3 + 9. Let z(s) = -3*s**3 + 3. Give -3*t(j) + 8*z(j).\nAnswer: 3*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 + 15*b**2 - 15*b**2)*(-2*b + 2*b - 2*b)*(2*b - 2*b + 2*b).\nAnswer: -16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 9*j**2 - 23*j + 15. Let x be o(11). Suppose -3*y = 2*l + 9, -11 - 9 = x*y. Which is bigger: l or -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1142584922 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15*(-10)\/3 + 0. Suppose 0 = -4*t + 5 + 75. Factor 4*f**2 + t - 5*f + f**2 - s.\nAnswer: 5*(f - 3)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -512 - -534. Let r = -44 - -77. What is the greatest common divisor of r and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*f + 6. Suppose 0*j - 2*j + f = 0. Suppose j*q + 3 = 19. Calculate the remainder when 7 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s + 21 = 59*s. Suppose -3*z + 4*j = -183, -4*j = z - 2*j - 71. Find the second derivative of z - 65 - 17*b**2 + s*b wrt b.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3 - 9 = 0. Let n = 0 + 0. Let h = 2.9 - 3. Which is the nearest to d? (a) -1 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*u**3 - 102*a**3 - 20*a**2*u**2 - 2*a**2*u - 1192*a*u**5 wrt u?\nAnswer: -6*a**3 - 71520*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 39*m**2 - 4*m**2 + 3 - 11 + 8*m. Suppose -n + 3*q + 3 = 0, -5*n + 4*q + 34 = 8. Let f be x(n). What is f rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:03 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, g: 1}. Give prob of picking 1 g and 1 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 16*v**2 + 38*v - 15. Let n be x(-13). Let y be 916*1\/44 - n\/11. Solve 0 = -4*r + 1 - y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 - -120. Let j = 170 - v. Let m = j + -68. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-1 + 5)**2 + (-5*(1*sqrt(156) - sqrt(156)))\/sqrt(12).\nAnswer: -70*sqrt(13) + 662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 10, 2*o - 5*n - 13 = -1. Let a(k) = 16*k - 1. Let w be a(o). Calculate the highest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -10. Suppose 13 + 11 = 3*k. Suppose 5*j + k = m*j. Solve j*t - 3 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 268, -4, 1 in descending order.\nAnswer: 268, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -78\/19, -1, 1011, 3?\nAnswer: -78\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4065745 + 24?\nAnswer: -4065721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**(-11\/2)\/(o*o**1)**(-22\/3)*((o*o**(-2\/9)*o)\/(o**4\/o))**(-4) assuming o is positive.\nAnswer: o**(385\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1565217 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, e: 4, d: 3, g: 1}. Give prob of sequence dd.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 - 2 = 0. Suppose -2 = 3*p + p - 5*c, p + m*c + 7 = 0. Let y be (p\/24)\/((-2)\/4). Is 0 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 75?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1107030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17826*a - 17849*a + 437 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-285)\/90)\/((-15)\/18*(-4)\/(-20))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 2474 - 5*x**2 - 1220 - 1234 + 4*x**2 to h*x + n + v*x**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 8431.2\nAnswer: 337.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2. Let m(w) be the second derivative of 0 - 3*w + 17\/12*w**4 + 0*w**3 + 0*w**2. What is m(f(i))?\nAnswer: 17*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 432d (base 15) to base 8\nAnswer: 33612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 14*j**2 - 25*j - 26. Let h(v) be the first derivative of -5*v**2\/2 + v + 15. Let z be h(-2). What is the tens digit of n(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-6))\/(84\/(-18)). What is the smallest value in y, 2\/3, -3\/2, 0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2167 is divided by 687.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n + 12. Let g(r) = 14*r + 23. Let c(h) = -6*g(h) + 11*t(h). Let d(f) = -8*f - 7. Calculate -6*c(w) + 5*d(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*-2*sqrt(20).\nAnswer: -12*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36574 or 36575?\nAnswer: 36574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j + 19. Let a(l) = 3*l + 7. Let k(n) = 8*a(n) - 3*q(n). What is k(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 791*l**2 - 4*l + 1855*l**2.\nAnswer: 1064*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**7\/1155 - 43*u**6\/330 + 42*u**5\/55 - 125*u**4\/66 + 83*u**3\/33 - 2*u**2 + 527*u. Factor v(z).\nAnswer: 2*(z - 83)*(z - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 6*v - 2. Suppose 0*b + 3*b = -2*y + 1, -4*b - y = -8. Suppose -f + b = -0*f. Suppose -17 = -5*d + f. Calculate q(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 7*h**2 - 7*h - 3. Let g be f(8). Suppose -3*x + 32 = 4*j + 3, 4*x + 75 = g*j. List the prime factors of j - 1 - -1*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 675*v**2. Let c(k) = -713606*k**2. Give r(c(n)).\nAnswer: 343732628184300*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7796 and 1359?\nAnswer: 10594764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7560245.3 - 7560225.3999829. Let a = d - 19.9. Round a to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 7104*z**2 - 5907240*z - 723362400.\nAnswer: -2*(z - 1830)**2*(z + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 2, 330, 13\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1729, -2409, -3535, -5107, -7125, -9589, -12499?\nAnswer: -15855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.3. Let p be ((-6)\/(-5))\/((-8)\/20). Which is the third smallest value? (a) u (b) 2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-707)\/(-606) + (-94)\/(-12). Calculate the greatest common divisor of 1557 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9868 less than 9868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 + j**2 - j + 3. Let a be n(-3). Suppose 129 = 501*v - 544*v. Put a, v, -4 in ascending order.\nAnswer: a, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 2, x: 1, a: 1, z: 2, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297\/(-54) + (-2)\/4 - -31 and 36?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -254, -500, -738, -968, -1190, -1404, -1610?\n\"Answer: 4*i**2 - 258*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 33.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (16\/36 - 48272\/(-52416)) + (-10)\/8\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 12. Let z be x(-7). Solve -2*c + 4*c = z*n + 10, 4*n = -3*c - 31 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 b when four letters picked without replacement from tttbbbbbbb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 15*y - 27. Let r be 1605991 - (-8 - (y - 0)). What is r rounded to the nearest 10000?\nAnswer: 1610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79961 and -3?\nAnswer: 239883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bddrardmrrrr. Give prob of picking 1 d, 1 m, and 1 a.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-40)\/(-30))\/((-1)\/(-9)). Let h be ((-112)\/(-12))\/(108\/81). Solve -10*o = -h*o + g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16392011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11084 and 0.301.\nAnswer: -3336.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**7\/336 + 17*r**6\/480 - 3*r**5\/40 - r**4\/2 + 11*r. Let q(c) be the third derivative of f(c). Factor q(p).\nAnswer: -3*(p - 3)*(5*p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -110001000000110010?\nAnswer: -110001000000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from uummum.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-two fifths of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 + 14*f**2 + 120*f = 0 for f.\nAnswer: -5, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.6971 + 0.3029. Which is smaller: 2.975 or a?\nAnswer: 2.975","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**2\/9 + 8*p\/9 - 14\/3 = 0.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**7\/210 - x**3\/2 - x**2\/2 + 4. Let n(c) be the second derivative of j(c). Find the first derivative of n(q) wrt q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50.9 times 0.3881\nAnswer: 19.75429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 142456 not equal to 142419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 11, -41 in descending order.\nAnswer: 11, 1, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420724 and 8132?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 76. Let x be b(-22). Suppose o = -q + 21, 0 = -2*o - 3*q + 4*q + x. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*m + 1174 + 8000. What is the smallest common multiple of 5918 and m?\nAnswer: 17754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4683 = 5*p, 1292 + 8086 = -2*s - 2*p. Let j = 6676 + s. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -7 - ((1 - 8 - -4) + 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -5 - 20)\/(1\/5). Let k = j - -104. Solve -k*i = 18 - 34 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73958 + -74011.807. What is m rounded to the nearest integer?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - n + 2 = 0, 8 = 2*i + n. Suppose -i*g = 5*k - 3*g - 15, -2*k + 2*g + 14 = 0. Determine r, given that 735*r - k*r**3 - 735*r + 8*r**4 = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258058*y + 8*y**2 - 3*y**2 + 30 + 258058*y - 4*y**2.\nAnswer: y**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 98987696141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*q = -82*q - c, 3*c = 3*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3090109, -6180192, -9270275, -12360358, -15450441, -18540524?\nAnswer: -21630607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 12:51 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2060\/(-130) + 11 - 63\/(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 7*r - 2*r)*(-3*r**3 + 0*r**3 + r**3) - 2*r**4 - 3*r**2 + 3*r**2 - 26*r**2 + 26*r**2 + 13*r**4.\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + -1162422739892?\nAnswer: -1162422739892.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 130*j - 3381. What is d(-94)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-15)*p\/((p*p*p\/((p*(p\/p**(-5\/2))\/p*p*p)\/p)*p)\/p)*p*p\/(p*p**(-2\/19)*p*p)*p\/(((p**21\/p*p)\/p)\/p) assuming p is positive.\nAnswer: p**(-1193\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 13 - 1) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.25 - 0.2499933. What is g rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x**2 + 24*x**2 - 100*x**3 + 5*x**2.\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 1. Let k be f(-1). Let w = -3 - -11. Let q(b) = -k - 1 + b + w. Give q(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 3*u. Let z(c) = -8*c**2 - 6*c - 3. Let s(o) = -2*o**2 - 2*o - 1. Let t(m) = 3*s(m) - z(m). Determine x(t(l)).\nAnswer: -8*l**4 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10249729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 617*a**3 - 3*a**2 + 103*a - 297. What are the prime factors of z(3)?\nAnswer: 2, 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11928292 and 17?\nAnswer: 202780964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h - 4. Suppose -8 = 4*k - 52. Let a(l) = 18*l + 11. Let o(v) = k*t(v) + 4*a(v). Let g(j) = j**2. What is o(g(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 i when three letters picked without replacement from {j: 5, i: 5, m: 5, z: 2}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29362)\/2968 + (-2 - ((-4)\/5)\/((-22)\/(-330)))?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 571 * 0.1\nAnswer: 57.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -122120 (base 3) in base 16?\nAnswer: -1da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -3\/19187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1840 is divided by 232?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-136)*88*42\/(-2310)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216 < 95268\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-16))\/(6\/(-16)) - (-132)\/78.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*q - 4*o + 58, -2*q + 2*o = 12960 - 12938 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n**2. Let i(b) = -4230681*b. Calculate i(a(u)).\nAnswer: -38076129*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 263 - 271. Do -7 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62413777 < -436896436\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-12)\/54)\/(22\/(-33)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 13*g + 55 + (2 - 4 + 0)*(2*g - 3*g - g))*(g - g - 2*g).\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 699740477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2315, 2505, 2785, 3191, 3759, 4525, 5525?\n\"Answer: 6*r**3 + 9*r**2 + 121*r + 2179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9*a - 8*a + 3*a**3 + 9*a**2 - 46*a**3 + 5. Is k(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30043667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c - 29c0?\nAnswer: -29ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.574*-1763.\nAnswer: -4537.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/((-126)\/(-27))*8\/(120\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -37\nAnswer: -51\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246, -137, -40, 39, 94?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 280961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 8. Let t(a) = -2413*a + 184. What is -46*q(k) - 2*t(k)?\nAnswer: 4918*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -416395 + 132675. Let q = 473720 + m. What is q rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1151 - 1147. Let c(p) be the second derivative of 5\/12*p**3 + 17*p - 5\/48*p**n + 0*p**2 + 0. Factor c(d).\nAnswer: -5*d*(d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 5, c: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.6 - 5. Let c = -1152.5 + 1152.6. What is the closest to c in 0.3, -1\/4, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*(25 - 9)*-2 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**3\/3 + 3*a**2 + 7*a + 4113. Suppose -2*h - 15 = 3*h. Let m be 2 + h\/((-3)\/4). Give j(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432.337 millilitres in litres?\nAnswer: 3.432337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -578, -1172, -1768, -2366, -2966, -3568?\nAnswer: -4172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10605226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8*q = 11220. Suppose 3*z = -2*z - q. Round z to the nearest ten.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 341263*w**3 + 202*w**2 + 248*w?\nAnswer: 2047578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**3\/15 - 17*t**2\/10 - 12*t + 288. Suppose u(n) = 0. What is n?\nAnswer: -3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w**2 - 4*w - 3. Let s(y) = 3*y**2 + y + 1. Let g(t) = -2*o(t) - 7*s(t). Give g(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 4 + (0 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 0 - (32 - 27)) + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(2200\/(-20)))\/(-1)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 424 and 530.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 81094.5797 to the nearest 10.\nAnswer: 81090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18809 = -23*s - 3698. Let m = 11171\/17 - s. What is the nearest to 0 in -4, -1\/8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 884.3641 tonnes?\nAnswer: 884364100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8 = -0. Let x(j) = 4 + j**l + j + 10 - 2*j. What is the tens digit of x(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 59 - 120*i - 3*i)*(5*i**2 + 0*i**2 - 3*i**2).\nAnswer: -246*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 34*l**2. Let a(q) = -2*q**2 - 83. Give i(a(k)).\nAnswer: 136*k**4 + 11288*k**2 + 234226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1131 - -1257. Calculate the highest common divisor of 882 and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5237? (a) -4 (b) 3\/4 (c) 4 (d) 5\/3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/21 - (2430\/(-189))\/(-15))*18\/(-69).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-4 - 2) + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*a + a - 177, 21 = -u - 3*a. Let v be (-11)\/u - (1 - (-430)\/(-6)). Suppose 0 = -v*q + 67*q + 1556. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -102072.3 and -4.5.\nAnswer: -102076.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0858 + 2?\nAnswer: 2.0858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {d: 2, x: 2, b: 3, w: 1, y: 3, k: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 7*k + 1. Let r = 2 + -9. Calculate b(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1015 and 37.\nAnswer: 37555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 253665 and 15.\nAnswer: 253665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + 4*sqrt(190)*2)\/(sqrt(40)*-2))**2.\nAnswer: 1539\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 17 - 2. Solve -1 = -a + w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -68725019*m**2 - 64185*m + 320925. Let n(s) = -4283*s**2 - 4*s + 20. Let q(d) = 64185*n(d) - 4*u(d). Let x(r) = -5*r**2. Give x(q(h)).\nAnswer: -91549205*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b59a5 (base 12) to base 7.\nAnswer: -15412424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095.436 rounded to zero decimal places?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (-86)\/1)\/2. Let s = y - -117. Let r = s + -46. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**6\/280 + 9*c**5\/70 + 81*c**4\/56 - 892*c**2. Solve x(f) = 0 for f.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22667349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -6*o + 2*o. Solve 5*u - o = -0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9449 + 9446. Which is the nearest to 108\/13? (a) 0.1 (b) 0.5 (c) -4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 = y. Let r be (-78)\/52 + (-30)\/(-4). Suppose 0 = r*i - 25 + 25. Sort i, 4, y, 5 in descending order.\nAnswer: 5, 4, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + 0 - (-1 - 2). Let k(p) = -6*p. Determine k(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.721 less than -104.45?\nAnswer: -105.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(sqrt(16) - sqrt(128)\/sqrt(2)))\/(3*(sqrt(968)*2 + sqrt(968) + sqrt(968))*-4).\nAnswer: -sqrt(2)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 1697*n**6\/2 - 10*n**3\/3 + 164*n**2 - 1806. Find the third derivative of w(u) wrt u.\nAnswer: 305460*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6079, -5432, -4785, -4138, -3491?\nAnswer: -2844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 17*z**2 - 73*z + 13. Let d be b(-9). Suppose 11*r - d = -77. Sort r, 4, 14 in ascending order.\nAnswer: r, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 412 = -304*h - 0*k + 3760, 0 = 2*h + 5*k - 32 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4\/5 - 133989*s**3\/5 - 1998343809*s**2\/5 - 10005136789263*s\/5 - 157538004450288 = 0?\nAnswer: -14861, -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 258.6262 to 0 dps.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.073? (a) -2 (b) 3876\/13 (c) 0.1 (d) -2\/3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717931380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/24*3*245\/(-49)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -1) + -1 - (-170 + 167)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9249283 to two dps.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052776 to 5 dps.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/9 - 26*z**2\/9 + 8*z = 0?\nAnswer: 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*q + 2. Let a be (q - 2)\/(297\/(-18)). Let z = 0.2 - -0.3. What is the biggest value in 5, z, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/34 + -21 + (-10237)\/(-493).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**5\/60 - 5*l**4\/12 + 7*l**3\/6 - 4*l**2. Let q(x) = 3*x**3 + 3*x**2 - 6*x + 6. Let s be q(-2). Calculate t(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 + (-280)\/(-32) - 1399\/4. Let m = y - -351. Let u = -3 - -2. Put m, -5, u, -1\/9 in ascending order.\nAnswer: -5, u, -1\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/3 - 3*b**2 + 5*b - 1. Let d be 7 + 0 + 65 + -67. What is x(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**3 - 5*h**2. Let x(m) = 3*m**3 + 2*m**2. Suppose 2*t = -99 + 95. Determine t*w(k) - 5*x(k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.36 * 1.\nAnswer: 6.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10330 (base 6) in base 10?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 426. Let k(j) = 12*j. Calculate k(c(i)).\nAnswer: -24*i**2 + 5112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 - 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1056)\/(-1584))\/(4\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 13400000 = 2*c. What is c rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1408*n**2 - 17052*n + 20790246?\nAnswer: 2816*n - 17052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*p - 61 + 313, 0 = 4*p - l + 267. Suppose 3*k = 2*s - 485, s - 542 = 4*k + 103. Let g = p - k. Does 31 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + -2) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 735943534 to the nearest integer?\nAnswer: 27128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from etaaaekeeacaaae?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - p**2 + 2*p**3)*(4*p - 2*p - 4*p) - 5*p**4 - 6*p**4 + 2*p**4 + (0*p**4 + 3*p**4 - p**4)*(-2 + 2 - 1).\nAnswer: -15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*r = 9 - 4, -8 = -4*u + 2*r. Does 11 divide (-9)\/(-6)*(u - -21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 108. Let y be f(0). Suppose k = -2*k + y. Suppose m - 3*p - k = -0*p, -68 = -2*m + 5*p. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, h: 6}. Give prob of picking 2 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 7*m**2 - 8*m + 2. What are the prime factors of i(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 11:27 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.5? (a) -1\/3 (b) -67 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251 - -536. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.3 + -31.1. Which is the closest to g? (a) 2 (b) -0.47 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3265792 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 e when four letters picked without replacement from bewweeeebbbbweb?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -216 + 333. Let c = 143 - k. Suppose c*n - 537 = 23*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1141*q - 29. List the prime factors of g(-2).\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -0.04, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000657 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**2 + 13*f**3 - 1 - 14*f**3 + 5*f**2. Let b be h(-1). Suppose 6*k + b = 85. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 0.1, -0.21, -0.5, -5 in decreasing order.\nAnswer: 4\/9, 0.1, -0.21, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7082*s + 17 + 137*s + 11 - 40 + 12)*(-3*s**2 - 2*s**2 - 2*s**2).\nAnswer: -50533*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 7 - 7)*(n**2 + 3*n**2 - 5*n**2) + 2*n**2 + 2*n**2 - 3*n**2 to a*n**2 + u*n + g and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001010010010101100 + -11?\nAnswer: -1001010010010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.32 + -1.58. Let n = i - -2. Suppose x - 5*x = 0. What is the nearest to x in 2, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30622165 (base 9) to base 14\nAnswer: -1d51961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287 - 284. Put 4, 0, 15, n in descending order.\nAnswer: 15, 4, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1335\/4, 0, -0.39, 0.3, -1 in ascending order.\nAnswer: -1335\/4, -1, -0.39, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 127569187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1077 + 1080. Let l(v) = -v + 4. Let c be l(-9). Let b = c + -6. Solve 2 + b = o*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 11. Factor -2*j + 0*j**2 + 0*j + j**2 + b - 2.\nAnswer: (j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-8 - -12) - (-9 + 5 + 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -7*s - 7*s. Sort 6, s, 0.\nAnswer: 0, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 694, -2, -19, -3\/8, 4 in increasing order.\nAnswer: -19, -2, -3\/8, 4, 694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4 - 12*f**3 + 47394*f**2 - 837540*f = 0.\nAnswer: -165, 0, 18, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**4 - 17124*r**3 - 7106416*r**2 + 7123536*r = 0.\nAnswer: -382, 0, 1, 4662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 638, 955, 1270?\nAnswer: 1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252052214, 504104429, 756156644?\nAnswer: 1008208859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 + 51798*n + 14448600 = 0.\nAnswer: -276, 26175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3 + 104*k**2 - 64*k - 317. What is the units digit of u(32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 155*q - 2269. Calculate b(142).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + i. Let g(q) = q**3 + 2*q**2 + 2*q. Suppose 0 = -3*j - 5*k - 17, j - 4*k = 7 + 10. Determine j*g(d) - 2*m(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -13 - (-2 + 2 + 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**4 + q**4 + 0*q + 2*q + 5 - 3 in the form v*q**2 + b*q + k*q**4 + l*q**3 + s and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**2 + 140*a - 600 = 0.\nAnswer: 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 229416391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -l - r - 8, -4*l = 3*r + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (5*sqrt(768)*1*-2 - (4 + sqrt(768) + -1 + 4 + sqrt(768))))*1)**2.\nAnswer: 768*sqrt(3) + 110596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11450944 divided by 715684.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2977951009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Suppose -q*y + 54 = 14. Suppose 0 = -0*b + b + 5*i + y, b - 8 = i. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 8:15 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 453590*n**3 - 20*n**2 + 3567?\nAnswer: 2721540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 25)*((-13)\/(-7) - 2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 7*h + 21 = 0. Suppose 2*p + 2 = 0, 3*j - 4*p - 34 - 15 = 0. Suppose x - j = -h*v + 3*v, 4*v - 84 = -4*x. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 43*y + 174. Let b be u(-4). Find the third derivative of z**2 + 22 - b*z**2 + 3*z**2 - 6*z**2 + 155*z**3 + 0*z**2 wrt z.\nAnswer: 930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 51*v**3 - 8 - 14*v**2 - 3 + 56*v**3.\nAnswer: 5*v**3 - 11*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 21\/2 (b) -4 (c) 3 (d) 1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29990?\nAnswer: 2, 5, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8433 and 65867707.\nAnswer: 65859274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -16*u**3 - u - 1. Let i be r(-1). Let y be 772\/965 - 392\/(-10). What is the highest common divisor of y and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -340 + 340. Suppose j = -2*i - 2*b, -67*i + 69*i - 2*b - 16 = 0. Calculate the least common multiple of 282 and i.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1330)\/(-475)*((-2)\/(-4)*-1)\/(61\/(-610))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-165) + (-34)\/132*-2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -472*c**3*k**3 + c**3*k**2 + c*k**3*y - c*k**2 - 11*k**3 - 5*y - 751 wrt k?\nAnswer: -2832*c**3 + 6*c*y - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7291 + 7291.2268. Round m to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirty-four fifths of a second?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 14. Solve 0 = 5*p - 0*p + 2*y + 35, l*y = p - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -594, -44, -1, 4, -4 in decreasing order.\nAnswer: 5, 4, 2, -1, -4, -44, -594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 122663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15312, -30640, -45982, -61338?\n\"Answer: -7*g**2 - 15307*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0 = l - 5, -3*l + 3*x = -9. Let d = -175 + 229. Suppose -w + 4*j - 19 = -l*w, 5*j = -4*w + d. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -109*x + 1. Let k be a(-4). Suppose 2*t = 5*p - k, -40 - 389 = -5*p + 4*t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2417525 and 550.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 + (((-330)\/25)\/11)\/(3\/(-370)) is divided by 134?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + 4*s + 31*s**3 - 32*s**3 + (3*s - 3*s - 2*s**2)*(5*s - s - 3*s) - 3*s**2 + s**3 + 3*s**2 to the form h*s**3 + f*s + w*s**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.1. Let x = -0.3 + a. Let o = x - -0.3. What is the closest to -0.1 in -5, 1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879347515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151129472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 227212481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*v - 23*v. Solve v = -j + 3*k + 2*k + 4, 3*k = 5*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (703 - 132*j - 703 + 4*j - 4*j + 2*j + (3 - 3 - 2*j)*(1 + 3 - 2))*(-j + 0 + 0).\nAnswer: 134*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902 = 11*u - 33*u. What is the remainder when 126 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 70893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(1573) + 1)**2) + 5.\nAnswer: 88*sqrt(13) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otteeee. Give prob of sequence ete.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 - 2778*u - 16681. Give p(-6).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 - o**5 + 0*o**5 - 148417*o**3 + 148417*o**3 + 717*o**5 - o**4 - o**5 + o**4 + (o + 2 - 2)*(-2 - o**4 + 2).\nAnswer: 713*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-4)*4*148\/333?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 2*v**2 + v**3 - 327 - v + 339. What is s(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149 or -147?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 37012901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81510 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, t: 2, a: 3}. What is prob of sequence tta?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3880 - 3868 - (1 - (1 - 1 - -13))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7170583*v + 16318756*v + 5907452*v.\nAnswer: 29396791*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.884 - -6.084. Which is the nearest to 5? (a) 3\/2 (b) -2\/5 (c) l (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 2525*p - 10080. What is o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 10*s**2 - 3*s - 2. Suppose 1521 = -115*q + 371. What is j(q)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -830763.27 to the nearest one thousand.\nAnswer: -831000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(288)*-5)\/(sqrt(432)\/sqrt(8)).\nAnswer: 80*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaaeeaeeaeae. What is prob of sequence ee?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2. Let w(x) = -x**2 - 2*x + 4. Let l be w(0). Let u(b) be the second derivative of -2*b + 0 + 0*b**2 + 0*b**3 + 1\/4*b**l. Determine f(u(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*d - 610 + 610)*(-d**2 + 0*d**2 - 7*d**2) + (0 - 1 - 1)*(4*d**2 - 2*d**3 - 4*d**2) + 0*d**3 - 2*d**3 + 4*d**3.\nAnswer: -162*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 0*l**2 - 9\/4*l**4 + 8 + 3*l + 0*l**3. What is the first derivative of h(f) wrt f?\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 6:47 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13672.\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2. Let g(x) = 219*x**2. Determine t(g(j)).\nAnswer: 47961*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-8) - (-1242)\/368. Solve 5*n + 9 = -a + x, -a = n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/4 - 1*-3. Let k = 0 + f. Is 2\/2 + 168\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 43191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -7*d**6\/10 + 11*d**4\/12 + 3*d. What is the third derivative of t(g) wrt g?\nAnswer: -504*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -13. Suppose 0 = o*a - 40 + 8. Calculate the remainder when 46 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 435 = 16*h. Let l = h + 82. Sort -4, 5, l in ascending order.\nAnswer: l, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 143*l + 273. Calculate b(-14).\nAnswer: -1729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -2*x**4 - 9*x**2\/2 + 5. What is the second derivative of a(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c - 3*l = 11, -5*l = -c + 15. Factor 4*p**2 + 19*p**3 - 16*p**2 + c*p**3 - 4*p**4 - 40*p.\nAnswer: -4*p*(p - 5)*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*n - 2053 = 0, 509 + 514 = -2*w + 5*n. Let o = -516 - w. Let b = -3127\/33 - -281\/3. Are o and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 183 - 180. Suppose l*n = 4*h + 1284, 4*n = -h + 1379 + 333. What are the prime factors of n?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 - 195 + 3*b**3 - b**3 + 108.\nAnswer: 2*b**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 762 = w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -4, 862 in increasing order.\nAnswer: -4, 2, 3, 862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.1 (c) 3\/95 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = b - 13, -4*b - b + 33 = -4*p. Solve b*j - 8*j = 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -11*j + 4*m, 5*j + 2*m = 3*m + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n - 52. Give f(-15).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 63061653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 1, p: 2}. What is prob of sequence pk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2)*3\/48*64\/336?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018 greater than 539.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25720637.\nAnswer: 59, 233, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 20 - 189*i - 31 - 266*i.\nAnswer: -455*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(2*7\/22)\/(78\/(-78)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.51 + 28.79. Let d = u - 31. Let t = d + -1. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.08 and 5606943748.\nAnswer: 5606943750.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15776294819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 10*z = -4*z + 1064. What is the remainder when 1135 is divided by z?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944605149.\nAnswer: 3, 89, 3537847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -420737.\nAnswer: -841474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14840835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r. Let i(x) = 7*x**2 - 1 - 6*x**2 + 1. Determine l(i(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 6:36 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 - 2*v**5 + 0*v**5 + (-2*v**5 + 2*v**5 - 2*v**5)*(-5 - 1 - 4)*(-37 + 33 - 19).\nAnswer: -458*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 488?\nAnswer: 488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90893?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + x + 19. Let f(g) = 6*g**3 + 3*g + 57. Give -3*f(h) + 8*z(h).\nAnswer: -2*h**3 - h - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30043 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at most as big as -16557708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1239 and -3.\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2913307454 to the power of 1\/3, to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 87407*r + 87409*r = 5, x - 14 = -3*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176929 and 109707.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**35*(b\/b**(-27))\/b)**20 assuming b is positive.\nAnswer: b**1260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-96))\/1*-8)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 50*y. Let f(i) = -675*i. What is f(d(t))?\nAnswer: -33750*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 - -62. Let m = 51 + n. Which is the second smallest value? (a) 1 (b) m (c) -0.5 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (5*-2*sqrt(156))\/((1*sqrt(120))\/sqrt(10)))**2.\nAnswer: -2632 - 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 443, 600, 757, 914?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -116239.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 1125. Suppose 4*z = z + x. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - 1.3. Let w = 8 - 6. Suppose 4*l - 24 = -2*g, -w - 11 = -3*l + g. Sort 1, l, j in decreasing order.\nAnswer: l, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4515 to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 5, y: 1, s: 3, v: 2, w: 1}. What is prob of sequence yo?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 7887912.\nAnswer: 7887912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 961.9651 grams in nanograms?\nAnswer: 961965100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 1. Let f = 3 - 2. Let w be n(f). Let v be (8\/16*13\/(26\/3))\/(-10). Which is bigger: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208 - -311) + -4 + -18 + 3.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*d - 2*d - 3*f, -5*f = -5*d + 25. Let k(u) = -2*u + 2*u**d + 4*u + 0 + 1 - u**3 + 0*u. What is k(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79528 by 39764.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i + 2. Let r be w(0). Let d be 12\/(-9)*(-3)\/r. Solve 4 = -d*f - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -q + 1286, 0*x = 5*q + 4*x - 6373. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 36151\/4004 - (-19 - (-4264)\/224)?\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 213*f + 3406. What is l(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.679810055 and -212546.\nAnswer: -212546.679810055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 16730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116 - 113. Solve 2*w + x = 3*h + 1, 16 = -4*h - 2*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u + 4*u + 0*u + (2*u - 2 + 2)*(0 + 1 + 0) + 192 - 388 + 191 + 4*u.\nAnswer: 7*u - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37674*s + 24*s**2 + 23*s**2 + 37674*s.\nAnswer: 47*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74891 = -4*s - 2*g + 74949, -64 = -2*s - 2*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, w: 14}. Give prob of sequence ggwg.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*a + 20 = -0*z, -3*a + 20 = 2*z. Suppose z*j - 1131 = -5*i, 2*i - 367 - 75 = j. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -7*c**5\/30 - 7*c**2 - 28*c. Let n(x) = -2*x + 36. Calculate j(n(i)).\nAnswer: -56*i**2 + 2016*i - 18144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13750 - -12613. Which is smaller: -1138 or n?\nAnswer: -1138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 2*n + 1 - 4 + 4 to the form v*n + x and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*u**2*x**3 + 7141*u**2*x - 2*u**2 - 733*u*x**2 - 35*x**2 + x - 24 wrt x.\nAnswer: -432*u**2*x - 1466*u - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*a + 406*a - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.22, -1\/3, 4, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396638 divided by -18029.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1080, -2170, -3260?\n\"Answer: -1090*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + 1.7. Suppose -79*a = -80*a + 34. Let u be 3*-1 - a*6\/(-36). Is y at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 1 + 21 = 5*b, 3*p = -2*b + 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5*f = -4*f + 1, -5*z + 5*f = -5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5333 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**5\/120 - u**4\/24 + 2*u**3\/3 + 4*u. Let z(a) be the second derivative of g(a). Determine z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(3\/(-15))\/(2982\/355).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.08055 and 10.7.\nAnswer: 10.61945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847)*1*-6 - (1 + sqrt(847) - sqrt(847))*5.\nAnswer: -66*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -15\/2 (c) -33 (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 48*c. Let s be d(5). Suppose 5*a - s = 1255. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2976.5 + -12823.\nAnswer: -9846.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8626*i**2 - 16690*i**2 + 8960*i**2.\nAnswer: 896*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(133)*6)\/sqrt(1008).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70247 is divided by 199?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 4:10 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4533 at most -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a millennium?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.19 (b) 0.5 (c) -2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3815 (base 9) in base 7?\nAnswer: 11210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(-1) - 5 - (3 + -106) is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 427645 divided by -961\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 4*r + 33. Let l = -29 + r. Let m be ((-6)\/(-4))\/((-4)\/l). Solve 0 = 4*j - j - m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/5 and -162 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8371808 to the power of 1\/2, to the nearest integer?\nAnswer: 2893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/2 of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -72. Calculate the remainder when y is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 20*s + 9. Let r(n) = 10*n + 4. Let p(a) = 5*a - 14. Let j be p(2). Give j*y(c) + 9*r(c).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191 + -344. Let y = 7279\/2 + -3499. Let g = p + y. Find the common denominator of -149\/18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 - 3*j**3 - 3*j**3 + (-3*j**2 + 0*j + 0*j)*(0*j + 2*j + 0*j) to q*j**2 + s*j**3 + u + g*j and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2, 2*s - 13 = -0*s + 3*z. Suppose -o + 3 + s = 0. Suppose -3*x - o - 4 = 0, 0 = -4*k + 3*x + 403. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 119, 194, 275, 362, 455?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 - 1) + 12\/(-4). Find the second derivative of h**2 - a*h + 0*h + 0*h wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c40 + 72a?\nAnswer: 736a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52570132 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 0*m + m)*(-1 + 0 + 3) + 1873 + 4*m - 511 + 449 to b + o*m and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 10020011202211?\nAnswer: -10020011210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8340593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165300 = 90502*m - 87196*m for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 55423?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(189)\/sqrt(3)*-4)\/(sqrt(45)\/sqrt(80)).\nAnswer: -16*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 337*n**5*w**2 - 8*n**2 - 26*n*w**2 wrt n?\nAnswer: 20220*n**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89282 - -90598038.\nAnswer: 90508756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003942380194 rounded to 6 dps?\nAnswer: -0.003942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 59.4. Sort -0.05, a, 14.\nAnswer: -0.05, a, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Suppose -4*n + 77 = 5*s, -2*s + g*s = -5*n + 121. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/34905 and -41\/32604.\nAnswer: 29180580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - -2 - 5*-1. Let c = x + 12. Let l = 41 + -27. Calculate the smallest common multiple of l and c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 38176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**2 + 4*n**3 + 8 - 154*n + 2*n**4 + 313*n - 160*n - 4*n**3 in the form q*n**3 + d*n + x*n**2 + g + r*n**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/77 and -67\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 165\/12 + 7\/28. Suppose -155 = b*r - 29. Let g = 9 - 6. Sort g, -5, r in increasing order.\nAnswer: r, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 0*z**3 + 0*z**3 + 15*z**2 + 23*z - 13 - 3*z**2 - 36*z + z**3. Give f(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2831276 and -2831277 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2. Suppose 4*h + 2*v - 28 = 0, 2*h = 4*h + 3*v - 6. Let f(d) = 3*d**2 - 11*d**2 + h*d**2 + 5*d**2. Determine t(f(c)).\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let i be ((-2)\/5)\/((-28)\/35). Which is the nearest to d? (a) -3 (b) i (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 21*c**2 - 6. Let b(n) = -21*n**2 + 5. Let p be (-1 - 0) + (-3 - 1). Let h(t) = p*d(t) - 6*b(t). Let y(o) = -7*o**2. Calculate y(h(l)).\nAnswer: -3087*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985 (base 16) in base 2?\nAnswer: 1100110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + (-5 + sqrt(1216)*-2 - sqrt(1216))))**2.\nAnswer: 768*sqrt(19) + 175120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56? (a) -1 (b) -3 (c) 4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2*-1 - (3 + -26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a + 26*a + 22*a = 3557712. Does 83 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6466 divided by -5?\nAnswer: -6466\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + -23311837?\nAnswer: -23311824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1 + 4 + 2 - 6*a. Let j(g) = -g**3 + g**2 - g + 1. Let i(c) = -6*c**3 + 3*c**2 - 2*c + 5. Let t(d) = i(d) - 3*j(d). Let s be t(-1). Calculate w(s).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 205 = -13*l. Let m = 10 + 78. Suppose -m = -c - 3*c. Sort l, 4, 2, c in descending order.\nAnswer: c, l, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/2*67\/28743*-26)\/((-2)\/288).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 451 and 44280?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/3 + 522*x**3 - 7962*x**2 + 43066*x\/3 - 6916 = 0.\nAnswer: -798, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 5*n**2 + 5*n**2)*(4*n**3 - 5*n**3 + 3*n**3).\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 3*v**2 + 38 - 9*v**2 - 37 - v**3 - 6*v**2 + 2*v**4 to the form k*v + q*v**3 + m*v**4 + h*v**2 + s and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -31. Let b = x + -7. Solve b = -m - u + 4, m = 2*m + 2*u - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 620 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5742866 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y. Let i(j) = -j**3 - 2*j**2 - 3*j - 3. Let w be i(-2). Suppose 1 = 5*z - 14. Let n(c) = -z*c + c + w*c. Determine u(n(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3848 a factor of 161146544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -64034414.\nAnswer: -2\/32017207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-6) - 1\/(-3). Let t = -2 - d. Let x(j) be the first derivative of -5*j**4\/4 - j**2\/2 + 94. What is x(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284975809 to the nearest integer?\nAnswer: 16881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 43*f**2 - 30*f**2 + 43*f**2. Let b(w) = 132*w**2 + 11 - 129*w**2 - 14 + 3. Determine b(v(a)).\nAnswer: 9408*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011157 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -669 + 726. Suppose -97552 = a - g*a. List the prime factors of a.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17172, -17176, -17180, -17184?\nAnswer: -17188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/17*(-28)\/12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 590*o**2 + 2*o - 9. Give r(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -67. Suppose 4*m + 5616 = 4*j, -4*j + 2088 = -c*m - 3524. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**(4\/3))))**(1\/40)\/(y**(-3))**42 assuming y is positive.\nAnswer: y**(15127\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4 - -3)\/(-1))\/((-4)\/16). Let w be 350\/105*j\/(-10). Let -4\/3*v**2 + 0*v + 4\/3*v**5 - w*v**3 + 4\/3*v**4 + 0 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/32 and 71\/237160.\nAnswer: 948640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*d + 556*d - 232*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-1)\/sqrt(7) + sqrt(704))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 369, 1728, 4087, 7440, 11781, 17104, 23403, 30672?\n\"Answer: -k**3 + 506*k**2 - 152*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, -6, 60\/19, 4, -8, 0.2.\nAnswer: -8, -6, 0.2, 1, 60\/19, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - u = -3*a - 73, -2*u = a - 72. Let b(n) = -3*n**3 + 44*n**2 - 33*n + 24. Calculate the remainder when b(13) is divided by a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 10 + 13 - 71*u to the form h*u + o and give h.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2142 = 16*w + 2350. Which is the biggest value? (a) 32 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + g + 3*g)*(-2*g - g + g) - g**2 + 3 - 3 + (7 + 4*g - 7)*(331*g + 15 - 372*g - 3) to j*g**2 + k + h*g and give j.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/11 + 1394*p**2\/11 + 5600*p\/11 + 5608\/11 = 0. Calculate p.\nAnswer: -2, 701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28655, 28684, 28767, 28934, 29215?\n\"Answer: 5*u**3 - 3*u**2 + 3*u + 28650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875*x - 963 = -8838 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4586.148l?\nAnswer: 4586148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8852, -7796, -6036, -3572, -404, 3468, 8044?\n\"Answer: 352*p**2 - 9204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2926*p**2 + 2*p + 2. Is 7 a factor of q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 134698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**5\/20 - n**3\/3 - n**2\/2 + 144*n - 2. Calculate i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 13*w - 4. Let b be h(-7). Suppose 0 = -4*g - b + 11. Solve 22 = g*v - 3*t, -v + 4*t = -5*v + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u = 18*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**4\/12 - 3*c**2 + 7. Let p(s) be the second derivative of d(s). Let w(j) = -20*j. Calculate p(w(t)).\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1470*p**3*x**5 + 248*p**3*x - 3*p**2 + 19*p*x**5 + 3*p*x**2 + 10*x wrt x.\nAnswer: 88200*p**3*x**2 + 1140*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*((-1 + sqrt(108))*-6 + 2 + sqrt(108) + -2 + sqrt(108) + sqrt(108)))**2.\nAnswer: -3456*sqrt(3) + 16130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188337?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 2*y. Let g be (27\/(-18))\/((-1)\/(-2)). Give s(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20374021 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 + 2*z**6 - 11*z**2 + 3 - 19*z**6 wrt z?\nAnswer: -2040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32627 (base 8) to base 3\nAnswer: -200211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 - 1 = 0. Let p = -25 + 28. What is the biggest value in p, m, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 + 31. Let w = p - -17. Let f = -1 - w. What is the third biggest value in 1\/5, -15, f?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -490, -48?\nAnswer: -490","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 56229027 divided by -2\nAnswer: -56229027\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*p = 0, -2*c = 2*c - 5*p + 2. Suppose 4*d = c*d + i - 1, 0 = 3*d - i - 1. Suppose d*l + 4 = -0*l. Is l != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 842698 - 557983. Let z = -284681.9998 + o. Let b = 33 - z. What is b rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*m**3 + 39*m**3 - 125*m**3 + m + 29*m**2 + 44*m**3 to the form q*m + s + h*m**2 + n*m**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91831 is divided by 30568?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 6*m + 8. Let r be a(-4). Let h = 211 + -209. Suppose h*q - 2 = 0, -13 = -4*t - q - r*q. Solve 2*i - t + 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 18*p + 7*p + 10 - 19*p. Calculate z(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j + 1. Let k(r) = 2*r**2 - 2*r + 1. Let c be k(1). Let u(w) = w. Calculate c*z(o) + 4*u(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 4*a**2 + 3*a + 4. Let f be m(3). Calculate the greatest common divisor of f and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -158*n**4 + 8*n - 42*n**2 + 29 + 112*n**3 + 552\/5*n**5 - 30*n**6. Let v(b) = 0. Calculate b.\nAnswer: 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 8. Suppose 5*q = -t*y + 38, 3*q + y - 30 = -2*y. 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: Let r = -5 - -9. Let y = 139.5 - 115. Let k = -24 + y. Which is the closest to 1\/2? (a) -2 (b) k (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 10*d + d**3 - d**3 in the form r + q*d**2 + m*d + l*d**3 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 115, 0.03, 1\/2, -3, 2\/3, 2598, 1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38086696.13 + 31815?\nAnswer: 38118511.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 - 2.5. What is the closest to 0 in 2, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let j(u) = 328 + 28*u**2 - 328. Calculate j(y(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -243.9468.\nAnswer: 48.78936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-96)*24\/(-392)*(-56)\/48?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 11:26 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -210673.634\nAnswer: 632020.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/((-154)\/(-55))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1965141009?\nAnswer: 3, 13, 16796077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 4:31 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 5:44 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132022007, 132022005, 132022003, 132022001?\nAnswer: 132021999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 325\/2*u - 205\/4*u**2 - 105\/4 = 0.\nAnswer: 7\/41, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/((-70)\/(-5))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -16*g - 30. Let z(p) be the first derivative of p**2\/2 + 8*p + 2. What is z(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-10)\/((o**(-4)*o)\/o*o)*(o*(o\/(o\/o**17))\/o)**(2\/105) assuming o is positive.\nAnswer: o**(-701\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354925, 354907, 354875, 354817, 354721, 354575?\nAnswer: 354367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 42*y**2 - 46*y + 2. Calculate f(43).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/178740 and -17\/24?\nAnswer: 357480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/7 + 9*k - 268\/7.\nAnswer: (k - 4)*(k + 67)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426396622.\nAnswer: 2, 213198311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -677\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 7*u**2 - 7*u + 2. Suppose -9*y + 20 = -16. Suppose -6*z = -26 - y. Calculate n(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -603*w**2*x**4 + 2*w**2*x**3 + 11*w**2 - 967*w*x wrt x.\nAnswer: -7236*w**2*x**2 + 12*w**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhdhhhhhdhhhhhhhhd. What is prob of picking 1 h and 2 d?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1207 + -790. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 - 0. Suppose -d + a = 34. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 0, -r + 3*r = 5*h - 8. Let k(j) = 4*j - 2. Let v be k(2). Let z = v + r. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 - 1853211*v**6 + 3*v**5 + 2*v**2 + 1 + 4*v**4 + 1853215*v**6 + 858*v wrt v.\nAnswer: 480*v**3 + 180*v**2 + 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hchy when four letters picked without replacement from {c: 5, l: 4, b: 2, s: 2, y: 4, h: 2}.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75.6 + 143.7. Let u = 68 - p. Which is the nearest to 1? (a) u (b) 2\/9 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 7:59 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45655103 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25091*z - 25132*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 24295523 to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i = -112. Let m(j) = 738 - 932 + 32*j - 18*j. Let r be m(10). Are r and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 345\/(-115) - (-34)\/10. What is the closest to r in -21, -1\/3, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -103, -89, -79, -73, -71, -73?\n\"Answer: -2*j**2 + 20*j - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*c**4 + 3 + 2 - 246*c**4 - 5 - 180*c wrt c?\nAnswer: -2556*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969337857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -1026?\nAnswer: 13338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 6. Let m(u) = 2 - 3 + 2. Let f(v) = -c(v) - 4*m(v). Let q(a) = 5*a - 9. Let s be ((-1)\/3)\/(5\/(-30)). Calculate s*q(k) + 9*f(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -5 + -4 + (3*sqrt(17) - sqrt(17)) + 4)*-3)**2.\nAnswer: -108*sqrt(17) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 413 = 388. Let b(g) be the second derivative of -8*g + 0*g**4 + 5\/3*g**3 - 1\/2*g**n - 5\/2*g**2 + 0 + 1\/6*g**6. Factor b(q).\nAnswer: 5*(q - 1)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 9984214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuttookk. What is prob of sequence kotk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/6)*m*(m**(19\/2)\/m)\/m*m*(m*m**(2\/9))**50)**(2\/37) assuming m is positive.\nAnswer: m**(1256\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 505, 1155, 2075, 3271, 4749, 6515, 8575?\nAnswer: 10935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1045548*a**2 + 250312 with respect to a.\nAnswer: 2091096*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/20)\/((-1)\/(-10)). Let o(d) = -d**2 - d + 9. Let w(l) = -2*l**2 - 2*l + 14. Calculate y*w(t) - 8*o(t).\nAnswer: -2*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = 4*h, -31*x + 2 = -30*x. Suppose -5*d - 151 = 9. Let s = 47 + d. Solve h*u - s = 6*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 388 + -387.9999401. What is u rounded to 6 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + t**2 - 1. Let l be 0 - 14 - (-28)\/7. Let o(r) = 9*r**3 + 8*r**2 - 5. Let q(h) = l*g(h) + 2*o(h). Find the third derivative of q(z) wrt z.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, y: 1, i: 2, e: 1}. Give prob of picking 1 y, 1 s, and 1 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17352.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**12*d**(-1\/23)\/d*(d\/d**(-10))\/(d\/d**(2\/37)) assuming d is positive.\nAnswer: d**(17880\/851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (23 - 11))*2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/5 in -1, -0.2, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 1\/(4\/14))*4676. Let n = r - 9159. Let l = -3882 - n. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/10 + 2\/5. Let y(t) = -t**3 - 2*t**2 + 2*t. Suppose 1 - 4 = 5*j + 3*l, 0 = -4*j - 5*l + 8. Let c be y(j). Sort 0, f, c in ascending order.\nAnswer: f, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c + 2 = 0. Let h = -9 - -4. Let v = 1 + h. What is the nearest to c in -2\/7, -4\/9, v?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12612*1.7.\nAnswer: 21440.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.9215892 rounded to the nearest integer?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*v + 4 - 1, 5*o = 5*v + 25. Let b be 612\/45 - o\/(-5). Solve 5*k + b = -4*j + 2*k, -10 = -5*k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/2178 and 5\/449482.\nAnswer: 44498718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/224 and -49\/352?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 12*z**2 + 29. Let t be r(12). What is the greatest common divisor of t and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - i - 37. Let u = 2 - 2. Let m be d(u). Is (0 - m)*(0 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**3\/(z**(-1\/4)*z\/(z**(4\/5)*z)) assuming z is positive.\nAnswer: z**(27\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 43514 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsss. What is prob of sequence ns?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1855 divide 1785995855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1989.000020655 + 1989. Round s to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64152, 2\/3, 0, -5, -1\/2 in increasing order.\nAnswer: -5, -1\/2, 0, 2\/3, 64152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142 and 435514?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/14 - ((21 - 9) + -15)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 1 - m**2 - 20*m - 1\/2*m**3. Let i(w) be the third derivative of -w**4\/24 - w**3\/6 - w**2. Calculate 4*i(v) - u(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 22. Suppose k = -11*w + 12*w. Suppose -6*m - 4 = -5*m, w*c = 5*m + 50. Calculate the smallest common multiple of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(6\/7))*j*j*j\/(j\/(j**(-1\/7)\/j)))\/((j**(2\/25)*j)\/(j*j\/((j**(-1\/4)\/j)\/j))) assuming j is positive.\nAnswer: j**(3419\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4457 + 4474. Which is the smallest value? (a) v (b) -29 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37, 1, -59, -143, -251?\n\"Answer: -12*q**2 + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29813214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.03944 - -196.74956. Let x = 202 - f. What is x rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 2*x**2 + 4*x + 2. Calculate the remainder when h(5) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 15 + 115*q + 175*q - 8 + 340*q.\nAnswer: 630*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5.04 times -0.153648\nAnswer: -0.77438592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from eeyqyofyeqjyjjo?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 27 = -39. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 253*z + 3 - 272*z)*(3 - 7 + 2).\nAnswer: 38*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 7019829.\nAnswer: 322912134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(2\/(-2) - 5).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 - -973. Does 39 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 36646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 73358697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 51 - 6*3\/18. Let t be 5*(-30)\/m*-57. What is the greatest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64355 and 535885?\nAnswer: 113071735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2794, -2822, -2862, -2908, -2954, -2994?\nAnswer: -3022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 63*c + 3269. Let h(k) = 2*k + 93. Let y(m) = 35*h(m) - i(m). Give y(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1587, 1, -3, 8 in increasing order.\nAnswer: -3, 1, 8, 14, 1587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - 0) - 18\/(-45)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*j + 26*j - 76. Let d = j + 46. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*z = -188*z - 158*z + 7308664. Is 47 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from tststfufufufuufh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 9*f**2 + 5*f - 7. What is the remainder when q(-6) is divided by 1 + 11\/1 + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 l when four letters picked without replacement from {q: 5, m: 1, l: 5, p: 1}?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*-2*sqrt(88) + sqrt(88) + sqrt(88)*-1*5)\/(sqrt(8) - sqrt(64)\/sqrt(32) - (sqrt(1152) - -1*sqrt(1152))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 9:25 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, j: 2, g: 5}. What is prob of picking 2 j?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.2. Let q = 0.23 - 0.09. Let l = q - -1.86. What is the second smallest value in l, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 + 57*r**2 - 46*r. Let h(p) = -2*p - 5. What is the least common multiple of j(-15) and h(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + q + 2. Suppose 24*f - 43 - 245 = 0. Suppose 3*b + m + 3 = 0, -5*b - f - 10 = -4*m. Let r(n) = -2*n**2 - 2. What is b*o(x) - 3*r(x)?\nAnswer: 2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 356 - 361. Which is the closest to -4\/7? (a) -3 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17668504780 + 0\nAnswer: 17668504780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -43938\nAnswer: -3075.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 - 3*q**5 + 2*q**5 + (q + 2*q - 7*q)*(-26*q**4 - 1005*q + 1005*q).\nAnswer: 106*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1381*s**2. Let i(l) = 67836*l**2. Give g(i(p)).\nAnswer: -6354979319376*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 - 1964*x**2 - 94873*x\/2 + 49400.\nAnswer: (x - 3952)*(x - 1)*(x + 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s + 361. Give p(80).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 783860867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) -0.18 (c) -1 (d) 8 (e) 9 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*q + 345, 5*f = 6*q - 7*q + 365. Calculate the least common multiple of f and 81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 11*o**2 - 3. Let c be m(11). Let g be ((-1)\/c)\/(10\/(-90)). Let v(i) = -111*i - 2. Is v(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -713.466 - -715. Let o = 26 + -25.924. Let x = o + w. What is x rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**5\/60 + b**4\/8 + b**3\/2 - 11*b**2. Let p be n(3). Suppose 0 = -p*r - 5*r + 352. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaalaeee. What is prob of sequence eee?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25174461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*i = 2*i + 18, 2*i + 15 = 3*v. Suppose 7*o - 3*o = 16. Find the first derivative of -o*q**3 - 1 + 2 + v*q**3 wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-9))\/(100\/150)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 130?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -6 + 3 + 4 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 1446 = -1973. Calculate the least common multiple of x and 279.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -110*v + 130. List the prime factors of f(-9).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 7) to base 2\nAnswer: -111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 95*d - 2*d**2 - 117*d + 95*d + 5*d**2.\nAnswer: 2*d**2 - 117*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/7*i**2 + 8\/7 + 2\/7*i**3 + 16\/7*i.\nAnswer: 2*(i + 1)*(i + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076 rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36136*k - 36136*k + 1335*k**2)*(4*k**2 + 0*k**2 - 3*k**2).\nAnswer: 1335*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11376578093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u. Let m(b) = -25414*b**2 + 3. Determine t(m(s)).\nAnswer: 50828*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -73491*i - 220490. Determine h(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -130*j - 135*j - 80*j + 5888 = -89*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -47, -153, -333, -593, -939, -1377, -1913, -2553?\n\"Answer: -r**3 - 31*r**2 - 6*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 17*v - 96 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4316415 and 9.\nAnswer: 12949245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 + 0*q**2 - 2*q**2 + (0 + 1 - 2)*(2*q**2 + q**2 - q**2) + 4*q**2 + q**2 - q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 0*g + 0*g - g. Let r(n) be the second derivative of -3*n + 0 + 0*n**2 + 1\/6*n**3. Calculate y(r(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/(((-99)\/30)\/(-11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 124) + (5673 - 5632)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*-0.7.\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u - 6. What is c(7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14683 + -14682.9999949839. Round x to seven dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 188.\nAnswer: 187.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2269 (base 10) to base 14\nAnswer: -b81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 36*u - 6*u as r*u + b and give r.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -736732, -152, 3, -1.\nAnswer: -736732, -152, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337, 1352, 3043, 5410, 8453, 12172?\nAnswer: 16567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 3\/8, -0.5, 5\/3, 3, -12 in increasing order.\nAnswer: -82, -12, -0.5, 3\/8, 5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q + 6. Suppose -q*t = -2 + 23. Let k = t - -11. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*p - 3392 = -19699 + 1044 - 6938 for p.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/14)\/(((-300)\/(-30))\/(-70))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/((-34)\/12 - -3). Suppose 4*u + 2*h - a = h, -4*h = -2*u + 36. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 9316800.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 13 + 3 = 0. Let x be ((-12)\/(-15)*-2)\/(h\/(-20)). Suppose x*i - 38 = -2*c, i - 15 = -i - 5*c. Calculate the least common multiple of i and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -35*r - 35. Let n be g(-1). Suppose n = -3*k + 27*k - 24. Solve 0 = -z - 5, 0 = 3*m + 4*z + 4 + k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.056903*-16\nAnswer: -0.910448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 45*u + 6. Let m be w(2). Suppose 5*d - 19 - m = 0. Calculate the remainder when 90 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -4571*o**5\/20 + 260*o**4 - o - 191. What is the third derivative of l(y) wrt y?\nAnswer: -27426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 2*o**2 - o + 409. Is i(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (7 - 1)) + -1 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-81)\/(19 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (20\/(-4) - -2). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 41, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.297 + -19.2969049. What is n rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641184141.\nAnswer: 3, 13, 1264663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 12. Let i = h + 11. Factor 12 + 8*a + 4*a + i*a + 39*a**2 + 9*a**3.\nAnswer: (a + 3)*(3*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9 + 1 + 101*y + 0 + 5. What are the prime factors of l(1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 996 and 252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + q**3 + 3*q**3 - 5*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 3*l**2 + 7 - 6 + 10 - 19*l. Let x be q(-9). What is the tens digit of x\/10 + (-11)\/(-55)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-20)\/585)*(-496)\/24 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**4\/8 + 2*p**3 + 29*p**2\/4 + 9*p + 255. Factor l(y).\nAnswer: (y + 1)*(y + 2)*(y + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 12*l - 4*b = 34, 4*l - 60 = -24*b + 19*b for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 336ebc (base 15) in base 16?\nAnswer: 257049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9 + 2*j**3 - j - 2*j**3 + 7*j**2 + j**3. Let u be m(-7). Let k = u + 9. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 8. Let x be l(-13). Let j = -46.2 - -2.2. Let r = 44.3 + j. Which is the closest to -1? (a) x (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - -4.9. Let q = i - -7.1. Let k = q - 50.9. Is k smaller than -9.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104781 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-12)\/h*h*h*h\/(h*h**(-8\/3)\/h)*h)\/(h**(-1\/8)\/((h*(h**32*h)\/h*h*h*h*h)\/h*h)) assuming h is positive.\nAnswer: h**(787\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*h + 7 = 0, -5*h - 5 - 15 = 0. Suppose -3*n + 2*n = -q. Let j = 2 + n. Solve 13 = i - 2*u - j*u, -4*u = -3*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1589, -1604, -1641, -1700?\n\"Answer: -11*z**2 + 18*z - 1596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d - 3*d - 5 - d**2 + 4 + d**3. Let o = -1 - -5. Let y(l) = -4*l**3 + l**2 - o*l**2 + 1 + 6*l**2 - 2*l. Give -2*i(b) - y(b).\nAnswer: 2*b**3 - b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -925?\nAnswer: -15725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*18\/84*-14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/11, 25168 in increasing order.\nAnswer: -0.4, -2\/11, 25168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from jjjjjjijjjij?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**3 + v**2 + v - 2. Let c be u(1). Suppose -t - t - 4*s = 40, -3*t + c*s = 100. What is the remainder when -3 - -5 - 3 - t is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 + (141 - 26) - (29 + 3 + 0).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 1:57 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, g: 2, u: 1, h: 1, w: 2, j: 6}. Give prob of sequence ju.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**4 + 4*x**4 + 8*x**4 + (4*x**3 - 3*x**3 + x**3)*(0*x - x + 0*x) + 2*x - 2*x**4 - 2*x to the form s + v*x**4 + k*x**3 + a*x + i*x**2 and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 20. What is the nearest to -1\/4 in 0.2, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from acattkl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 7244249.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*j**2*x - 384023*j**2 + 34*j*x - j + 108942*x - 2 wrt j.\nAnswer: -26*x - 768046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 208207?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225453443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22792 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1054 - 1052. Let w(b) be the first derivative of 5 + 0*b**d + 2\/3*b**3 + 0*b. Factor w(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -333, 431, 1705, 3489, 5783?\n\"Answer: 255*j**2 - j - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1068, -3394, -15498, -39066, -77920, -135882, -216774?\nAnswer: -324418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**5\/60 - s**4\/3 - 4*s**3\/3 + 2*s**2. Let l = -8 + 2. Is 3 a factor of x(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 2 + 4*k + 12 - 2*k**3 - 150*k**2 + 155*k**2. Give y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(4*h + h - 4*h)*((-3 + 6 - 1)*(-2*h - 2*h + 2*h) + 2*h - h + h + (86 + 56 - 57)*(-2 - 2*h + 2)) in the form s*h**2 + v*h + g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 4*r + 24 = -3*p, 4*p - 5*r = 29. Suppose -5*b = -131 + p. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27330 divided by 3.\nAnswer: -9110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/27*3)\/(101\/(-202)).\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-3)*-1*3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 167574 = 4*q - 2*j, -4*j = 5*q + 209448. Let z = 77395 + q. Let y be z\/(-5) + 6\/10. What is y rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.8873694 and 0.331.\nAnswer: 7.2183694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -42, 4, 195, 2\/11, 3\/2 in decreasing order.\nAnswer: 195, 7, 4, 3\/2, 2\/11, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 4, b: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 - 5*r**2 - 4*r - 3. Suppose 2 = -3*j - 7. List the prime factors of u(j).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359021799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c*h**2*r**2 + c*h**2 - 26*c*h*r**3 + 2*c*r - h**2*r**2 - 2*h**2 - 87*h wrt r?\nAnswer: -6*c*h**2 - 156*c*h*r - 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426 - 369 = 19*f. Solve 4 = o, 0 = -8*k + 5*k + f*o - 27 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 54864194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.98689 kilometers to nanometers.\nAnswer: 6986890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(1008\/(-225)) - (-4)\/(-7). Let y(l) = -c*l + 4411 - 4411. Let k(n) = -30*n. Calculate k(y(j)).\nAnswer: 90*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 630\/15377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 + 0*r**2 + r**2)*(2 - 36*r**3 - 5008*r + 8*r**3 + 5010*r).\nAnswer: 112*r**5 - 8*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-4) - 0 - 1. Suppose 2*b = 4*d + 12, -5*b + 5*d = 4 - 24. Suppose w = -b*w + 9. Which is smaller: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/8 (b) 9 (c) 42 (d) -1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -659337, -659285, -659233, -659181?\n\"Answer: 52*a - 659389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 13 = 4*c, -2*u = -3*c + 4*c. Let a = u - -3. Suppose -5*r - k - 2*k = 10, 5*r - 4*k - 25 = 0. Is a greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1946 by 1946.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, t: 1, b: 4, n: 1, e: 2}. Give prob of picking 2 d and 1 t.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5436037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*n**3 + 24*n**3 - 51*n**3 + (n + 0*n + 0*n)*(-2*n**2 - n**2 + n**2) as z + p*n**2 + w*n**3 + y*n and give w.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f**3 + 14*f**2 - 5*f + 18. Let a(j) = -3*j**3 + 6*j**2 - 2*j + 9. Determine -5*a(p) + 2*b(p).\nAnswer: 3*p**3 - 2*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*m + 38, -3*d - 2*m - 106 = -6*d. Let x = -13 + d. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -32 - (8 + 19 - 16).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 smaller than -104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4592 and 32.\nAnswer: 9184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 378\/(-8)*(-120)\/(-45). Let c = -36 + 43. What is the smallest common multiple of 144 and (6\/c)\/((-6)\/o*3)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -48, -76, -106, -138, -172?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 1085008076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 11*o**2 + 15*o - 17. Let h be x(10). Let z = h - 25. What is the hundreds digit of 1*-326*(-4)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times -436\nAnswer: 69.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1184000)\/3*(-5 - -50). Round k to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912388.\nAnswer: 2, 228097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606947556.\nAnswer: 2, 3, 37, 157, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2050 + 2053. Sort 60, 1, 5, c in descending order.\nAnswer: 60, 5, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*h**3 - 41*h**2*t + 5*h*t + 395*h + 2*t + 15 wrt h?\nAnswer: -372*h - 82*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*b**4 + 8 + 7*b**3 + 0*b**3 - 7*b**3 wrt b.\nAnswer: 52*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*f + 794 + 4948 = -214*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 743.8421 rounded to 1 decimal place?\nAnswer: 743.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 11:51 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-34293)\/(-45) - (-33)\/(-495).\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-72.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 8:15 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Let c(h) = -2*h**3 - 3*h**2 - 2*h - 3. Let g be c(p). Suppose -3*s = -g*m + 2*m - 27, 3*m = 0. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/35)\/s)\/((s**(7\/4)\/s)\/s))\/(s**20\/((s\/s**9)\/s)) assuming s is positive.\nAnswer: s**(-4173\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 177 - 268. Let c = u + 107. Let n = c - 27. Is n < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 7*n**2 + 3*n - 8. Let g(c) = -c**3 + c**2 - 2. Give -4*g(r) + z(r).\nAnswer: 3*r**3 + 3*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -73*b - 178. Calculate the remainder when h(-8) is divided by 140.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 4:55 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 125 - 46 = 0. Let g = -41 - x. Let b be (76\/2)\/2*1. What is the greatest common factor of g and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a century in months?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-5))\/(-2) + 10098\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 10*i**4 + 13508*i**3\/3 + 288682*i**2\/3 + 1190548*i\/3 + 669392\/3 = 0.\nAnswer: -428, -17, -23\/5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 9*f + 20. Let q be y(-6). Suppose -q*v = 2*a - 38, 6*v = -5*a + 5*v + 111. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -177053699 and -0.4.\nAnswer: 70821479.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**7\/735 + o**6\/42 - 4*o**5\/35 + 11*o**4\/42 - o**3\/3 - o**2 - 138*o. Factor u(a).\nAnswer: -2*(a - 7)*(a - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 5:45 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 11*b**2 + 28*b - 45. Give r(13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2459, -4918, -7377?\n\"Answer: -2459*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a factor of 625133647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1053*u**2 + 525*u**2 + 1 + 26*u**3 + 521*u**2 to the form l + d*u**2 + n*u + g*u**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = -5*d, -4*d = 2*f - 2. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*j**2 - 2\/9*j**3 + 0 + 2\/9*j - 2\/9*j**4.\nAnswer: -2*j*(j - 1)*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10123402023 (base 5) in base 3?\nAnswer: 201111221220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-54)*28*(-7)\/7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-3 - 15) + 0 - (1 - -3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29305, 29313, 29323, 29335, 29349, 29365, 29383?\nAnswer: 29403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u = -8. Let w(c) = -c**2 - 2*c + 8. Let l be w(-4). Suppose 4*g + 4*o - 4 = l, 3*g + 2*g = -4*o + 4. Solve g = i + u*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/280)\/((-2340)\/91).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 11 + 14 - 20 + 10.\nAnswer: 10*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6136\/237 or 2.48?\nAnswer: 6136\/237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 4:24 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -469 and -1054.21?\nAnswer: 585.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*i + 147, -p = -4*i - 202 + 62. What is the derivative of p*k**2 - 6*k**3 + 3 - 144*k**2 wrt k?\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 12*x**2 - 17*x + 12. Suppose -4*s = -2*u - s + 1, u + 7 = 3*s. What is the hundreds digit of l(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -20. Sort 0.4, x, -1\/2.\nAnswer: -1\/2, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + -12. Let g = 33 + q. Solve 2*f - g = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) 1\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20922446 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 3 - 3)*(2*w + 18 - 18) - w - 5*w + 5*w)*(w**3 + w**2 - w**2) + 5*w**4 + w**4 - 4*w**4.\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9*4\/(-21))\/((-27)\/(-42)))\/2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*b - 5*b + 3*b. Solve 0 = -4*c - b*a - 17 + 25, -4 = 5*c - a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2924 * 0.77\nAnswer: -2251.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*s - 6*s - 113*s + 40*s + 6*s**2 + 30*s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/35 in 0.3, -2130038, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/6 - 0. Let o(f) be the second derivative of -n*f**4 + 0*f**3 + 0*f**6 - 1\/42*f**7 + 0 + 0*f**2 - f + 0*f**5. Find the third derivative of o(h) wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from zszszssssssrssr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311323 (base 4) in base 15?\nAnswer: -2382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.1 times -0.177?\nAnswer: 3.9117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/13 - 142614*s**4\/13 + 1568948*s**3\/13 - 3423336*s**2\/13 - 394992*s = 0. What is s?\nAnswer: -71318, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3357 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 74*s - 75.\nAnswer: (s - 75)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (-75 + -17) - (-2 + 7 + -4)?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.064 + -0.0583. What is k rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 2. Let j be m(4). Let x(w) = -2*w**2 - 8*w**2 - 6*w**j. Let h(k) be the second derivative of -k**4\/4 - 2*k - 1000. Determine x(h(q)).\nAnswer: -144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = -9*s + 75 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*t - 3564*c - 1325*t wrt t?\nAnswer: -2*c - 1325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2318561 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 550*g - 5 - 282*g + 462*g**2 - 266*g wrt g.\nAnswer: 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-7\/2)*d)\/d*d)\/d)**(-8)*d**29*d**(11\/6) assuming d is positive.\nAnswer: d**(353\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -6.3496.\nAnswer: 2.53984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -55*a**2 - 15*a - 15. Let k(q) = 4*q**2 + q + 1. Let m(w) = 2*g(w) + 30*k(w). Let n(s) = -2*s + 1. Give n(m(f)).\nAnswer: -20*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 11*j**2 - 9*j + 12. Let d be v(-10). Let f = 0 + d. Solve -p = 2*x + 1, -x + 6*x + f = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(6*sqrt(2)*5).\nAnswer: sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 6.4?\nAnswer: -0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + (sqrt(1331) - (sqrt(1331) + 2)))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1554864 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -462.9501?\nAnswer: 463.3501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 5\/4*t**4 - 1\/2*t**3 + 1\/2*t + 3\/4.\nAnswer: (t - 1)**2*(t + 1)*(5*t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/28)\/((-7)\/(-588)). Solve 4*q = 3*g - o, 4*q + 12 = g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(1088) + 2 + sqrt(1088))*1.\nAnswer: 8 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lle when three letters picked without replacement from {l: 7, e: 5, f: 7}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8119881.5 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73, -101, -141, -199, -281, -393, -541?\n\"Answer: -t**3 - 21*t - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -35*h**3 + 19*h**2 - 18*h. Give d(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 88 in decreasing order.\nAnswer: 88, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125973794?\nAnswer: 2, 4231, 14887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 4*a**2 - 2*a - 1. Let p be g(3). Let f be ((-1)\/p)\/((-1)\/(-28)). Let d = f + 18. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + s. Let w(c) = 7*c**3 - 5*c**2 - 4*c. Let o(a) = -w(a) - 5*z(a). Find the second derivative of o(t) wrt t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8887 + 12393 = 10*c. Let p = c - 977. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 116 = 5*r - 0*m, -m = -r + 28. What is the greatest common divisor of 15 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16270633?\nAnswer: 181, 241, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1797, -3820, -5817, -7788, -9733, -11652, -13545?\n\"Answer: 13*w**2 - 2062*w + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 5923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*w - q, -3*w - 3*q + 21 - 6 = 0. Differentiate -5*l**w - 3 + l**2 + 4*l**2 - l**3 with respect to l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - 0.6. Let j = 21 + -20.8. What is the smallest value in -2, d, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 10*p**5\/13 + 4*p**4\/13 - 250*p**3\/13 - 100*p**2\/13 = 0.\nAnswer: -5, -2\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**2 - 1. Let q be l(1). Let g be (4 - 1)\/((-384)\/(-78) + -5). Let s be g\/(-15) - 2\/q. Solve 0*p = -s*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 47*p + 124. Let u be d(-3). Let t(l) = l**2 + 14*l - 18. What is t(u)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3792143?\nAnswer: 1033, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 6*w - 3. Let a(h) be the third derivative of -h**6\/40 + h**5\/60 - 2*h**2. Let o be a(-1). Let m = -1 + o. Calculate v(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -32 and 1\/14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -0.7. Let h = u - -7.1. Let f = -7.1 + h. Which is the closest to f? (a) -1 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 41. Solve -16 - 3*z**2 - 8*z + m*z**2 - 2*z**2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -35, 18, -22 in ascending order.\nAnswer: -35, -22, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/6 - 455719*t\/2 = 0. Calculate t.\nAnswer: -1367157, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -574*z + 3. Suppose 2*s = -3*x + 11, 3*s + x = -2*x + 9. Is q(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -56 - (21 - 35).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 660787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 107940840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5\/(-25)*-249*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.042 - 786.442. Let p = q + 780. What is the closest to 0 in p, -0.02, -1, 2\/13?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3\/5 (b) -2\/3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - c**2 - 2*c - 5*c - 30)*(-2*c**3 + 2*c**3 - 2*c**3).\nAnswer: 2*c**5 + 14*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*c - 66*c + 16 = 0. Let z be ((-5)\/(-10) - c\/8)*1. Solve 2*h = -z*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134734798, 134734797, 134734796, 134734795, 134734794, 134734793?\nAnswer: 134734792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -0.2. Let w = 313.4 + -317.4. Which is the second smallest value? (a) 0.2 (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 345 + -19. Let b be (-7)\/42 - x\/(-12). Solve -8*d - 3*c = -4*d - 3, -5*d = -4*c - b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iffifswiiiifiwfi. Give prob of sequence fwii.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.386536 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 110\/(-3) + 2\/6*2. Let g be ((-3)\/(-9))\/(f\/(-27)). What is the third biggest value in 0.1, g, 5, -1.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18323 or -18324?\nAnswer: -18324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f = 40*f + 30 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**11*w))**(-4\/15)\/(w*w\/(w*w*w*w**(-14)))**(-6\/7))**(-11) assuming w is positive.\nAnswer: w**(-16258\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a6 (base 12) to base 11.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -y + 10, 1118*y = 1117*y + 5*m - 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 (base 6) in base 8?\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18675079285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -415, -534, -735, -1018, -1383, -1830?\nAnswer: -2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4397?\nAnswer: 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**35\/(x**11\/x) assuming x is positive.\nAnswer: x**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6 - 198*a - 367 - 594*a - 389 + 162. Let y(l) = 158*l + 120. Let g(q) = -5*k(q) - 24*y(q). What is the derivative of g(w) wrt w?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 15*z**2 - 9*z + 25. Let x(g) = -g**2 - g. Let j(i) = -a(i) - 6*x(i). Let m be j(-12). Suppose m = 4*b + 67. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 289537, 579675, 869813, 1159951, 1450089?\n\"Answer: 290138*t - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/16)\/(2\/8). Is v equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13\/8*p**2 + 9\/8*p**4 + 1\/2 + 5\/2*p - 15\/4*p**3 = 0. Calculate p.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723e8f (base 16) in base 9?\nAnswer: 15071351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 24 = -8*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (107 - 33 - 42) + -29?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 583787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 + (-4 - (-31)\/7) and -113\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4330, 8655, 12964, 17251, 21510, 25735?\n\"Answer: -z**3 - 2*z**2 + 4338*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 94503 - 94519 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-1*(-1)\/(-5). Let d = -0.107 + 0.007. Which is the closest to v? (a) 0.1 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b15 + 1?\nAnswer: -b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 371*d + 371*d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2250967, 2250974, 2250981?\n\"Answer: 7*p + 2250960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(-700) + 62\/10 - -8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 l when four letters picked without replacement from qqlvq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y + 61. Let l(o) = -o + 15. Let j(v) = 9*l(v) - 2*w(v). List the prime factors of j(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/2 + 843*i\/2 + 421 = 0. What is i?\nAnswer: -842, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 4*h - 1. Let y be l(-5). What is the least common multiple of 3\/(-2)*(-2 + -2) and 7 + (y - 0)\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + 1 + -1 + sqrt(2736) + ((sqrt(95) - 3*sqrt(95)*6)\/(sqrt(55)\/(sqrt(44)\/sqrt(4))))**2.\nAnswer: 12*sqrt(19) + 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) - 0\/(-7 + 14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.4.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 - 42*j**4 + 25*j**3 - 21*j**3 + 2*j**2 to c*j + g*j**4 + s*j**3 + y*j**2 + u and give g.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36445875707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 330251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/307 < 2\/501175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173.273210941 + 0.019122941. Let n = -0.153088 - z. Let b = 173 - n. Round b to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, b: 7}. Give prob of sequence bgb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 + -3. Suppose -4*n - 14 = -14. Let y = -1 + 2. Which is the closest to n? (a) m (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 116*v**2 + 21*v - 593. Let q be o(59). Calculate the greatest common factor of q and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19135 - 19095. Let v(b) = 4*b - 157. What is v(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -384*x + 2. Let k(m) = 7*m. Let l(f) = 13*f. Let w(b) = 4*k(b) - 2*l(b). Calculate w(t(j)).\nAnswer: -768*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14403313 (base 5) to base 8\nAnswer: 453757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1730 + 1730 - 111*a. Let l(d) = -d. Determine l(x(r)).\nAnswer: 111*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*m**2 + 1\/2*m + 0 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.86.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.096.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*p - 4, -58 = -6*a + 4*p. Let o = 25\/52 - 3\/13. What is the third biggest value in a, o, -14\/11?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2. Let t(a) = -22438*a**2. Give x(t(q)).\nAnswer: -1510391532*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a. Let h(x) = 14276*x**2. Give n(h(u)).\nAnswer: 14276*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 11 = 3. Let x = -5 + t. Suppose -f - 16 = -x*f. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 14 - -1) + (9 - -16) - (-4 - -4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2545 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004713827946 rounded to seven dps?\nAnswer: 0.0000471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**4 - 6492*z**3 - 2250752*z**2 - 168628992*z + 2819690496 = 0?\nAnswer: -168, 14, 3568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwuuhaguhauaxuuuh. What is prob of picking 1 a and 1 x?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 1116108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 890, -8, -1 in decreasing order.\nAnswer: 890, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53 - 8768?\nAnswer: -8715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 20401303*j**2 + 9 - 20401313*j**2.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3641573376\/5*l - 611784327168\/5 - 8128512\/5*l**2 - 3\/5*l**4 + 8064\/5*l**3 = 0.\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 3, s: 4, v: 2}. What is prob of picking 1 v and 1 s?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 2*j - 16. Let f(v) = 5*v + 1. Is f(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5 - 21066*a**4 + 54844152*a**3 + 3322583296*a**2 - 34330281984*a = 0. Calculate a.\nAnswer: -68, 0, 9, 5296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 42*w = 47*w - 2155, -t + 4*w = -707. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-236*p**5 + 195*p**5 - 55*p**5 - 550*p**5)*(3 - 2 - 2).\nAnswer: 646*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6055649?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/4 + 101289*x\/4 - 4744003 = 0. Calculate x.\nAnswer: -101476, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9708 + -9725. Sort v, 5, -2, -57 in descending order.\nAnswer: 5, -2, v, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 2. Let c(t) = -3*t - 3. Let n(d) = -2*c(d) + 5*g(d). Suppose -3*w = 2*w - 25. Let v(h) = -2*h + 5. Suppose 3*s = 9 + 3. What is s*v(b) + w*n(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2070132566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 1434326?\nAnswer: 1434324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58807\/3, -3, 4\/5, -1\/2 in descending order.\nAnswer: 58807\/3, 4\/5, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o - 11 + 8 - o + (72 - 72 + 10*o)*(-1 - 3 + 2) in the form u*o + r and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 16*u + 8. Let w(i) = 51*i + 31. Let h(l) = -25*l - 15. Let n(f) = -13*h(f) - 6*w(f). Let a(d) = -5*n(d) + 6*v(d). Determine a(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622396?\nAnswer: 2, 405599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**5 - 1727*r**4 - 3451*r**3 - 1725*r**2 = 0?\nAnswer: -1725, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23848 a multiple of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/(2\/(-4)). Suppose 2*f = r*f - 8. Suppose 2*q = q + f. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 6*p**2 + 231*p + 1908. What is i(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 101151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 + 14445\/135 + -77?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 + 4*h + 3*h**2 + 7 - 11*h - h**3. Let y be s(6). Let g(f) = -f + 2. What is g(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 6:31 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 7*i**4 + 7*i**4 + 4*i**3 + 1 - 10*i**4 - 2*i.\nAnswer: (i + 1)**2*(2*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*s + 86 + 145 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25885*n + 25889*n = -3*p - 118, 3*n = 12*p + 567 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 530, 520, 496, 452, 382, 280, 140?\n\"Answer: -u**3 - u**2 + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111084 and 18.\nAnswer: 333252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6859 less than -1?\nAnswer: -6860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 221 - 217. Solve -4*g + o = -2*j - 4, -g = -3*j - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131.25 - -3.25. Let q = f - -128.5. Which is the second biggest value? (a) -2\/5 (b) 1\/10 (c) q (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 369256 and 692355.\nAnswer: 5538840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - 2*r**3 + 6*r**3)*(-2*r + r + 0*r)*(-r - 3 + 3).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1095118496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 1. Let y be s(0). Let h(p) = -p**3 - 4*p**2 - p - 4. Let j be h(-4). Is (77 - -1) + y + j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 6.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrri when four letters picked without replacement from {j: 4, i: 3, r: 7}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)*s**(-1\/11)\/s*(s**(2\/7)\/s)\/(s*(s*s**8)\/s))\/(s*s**1*s**(3\/5)*s**(-2\/9)\/s**(1\/2)) assuming s is positive.\nAnswer: s**(-94823\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 120692828 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-1 - -2) + 3. Suppose 19 = 3*f + n. Let t = 1.3 + -0.3. Which is the smallest value? (a) -3 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**3 - 4*i**2 - 6*i - 4. Let n(d) be the second derivative of 3*d + 0 + 3\/4*d**4 + 11\/20*d**5 + 13\/6*d**3 + 9\/2*d**2. Give -4*n(f) - 9*p(f).\nAnswer: f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*-4*(5*sqrt(4235) - sqrt(4235))\/(sqrt(20)\/sqrt(4)*-2)*3.\nAnswer: 1056*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ags. What is prob of picking 1 g and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23508258*j - 143797809.\nAnswer: 23508258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -35) + (26 - 5) + -15 - (-3 + 91)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181 + 16*s - 14*s - 4*s**2 + 10 + 2*s**2 - 2*s**2.\nAnswer: -4*s**2 + 2*s - 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41592248 is divided by 2189065?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 2*k + 14, h - 2*k = 11. Solve 0 = -h*x - x + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-42))\/5)\/((-73)\/((-10074)\/(-46))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 89\/2 of a milligram?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5678*o + 5679*o - 31 = 2*d, -o + 3*d + 47 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -21 - 15. Let g be -4 - 2\/4*h. Which is bigger: g or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ystusyrss. What is prob of picking 1 s and 1 y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 55*m**3 - 3*m**2 + 5*m. Let j(g) = g**3 - g. Calculate -6*j(p) - y(p).\nAnswer: -61*p**3 + 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/2040 and 35\/34?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:35 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-3 - -6)\/(-15))*288\/(-240). Let l be (-3)\/(-9) - 125\/(-3). What is the greatest common divisor of l and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -49, -197, -441, -781, -1217?\n\"Answer: -48*v**2 - 4*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 3:01 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 7*i + 6. Let x be f(4). Suppose w - 4*w + 4*k + 22 = 0, w - 4*k - x = 0. Solve 3*u = j - w, 3*u + 2*u - 6 = -3*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 151*w + 30. Let d(s) = 378*s + 76. Determine -5*d(o) + 12*l(o).\nAnswer: -78*o - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -126*u**3 - 8*u**2 + u + 1. Let b(z) = -z**3 - z**2 - z + 1. Let h(v) = 5*b(v) - p(v). What are the prime factors of h(1)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, r: 2, g: 5, s: 3}. Give prob of sequence ss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 11*q**2 + 11*q - 7. Let p(b) = b**2 - 8*b. Let c be p(6). Let x be a(c). Solve 4*m - 2*m - 1 = -v, 5*v - 10 = -x*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 209, 4422, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4885.\nAnswer: 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22124.58 centuries to months.\nAnswer: 26549496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 63. Let k(i) = -284. Let u(t) = 9*b(t) + 2*k(t). Let x(h) = 2*h**3 - 9*h + 2. What is 2*u(r) + x(r)?\nAnswer: 2*r**3 - 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 12*p + 9. Let s be t(-11). Let n be 0 + (-2 - s) - 3. Let h be ((-5)\/(-3))\/(3\/9). Sort h, 4, n in decreasing order.\nAnswer: h, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 5. Let v be ((-3)\/9)\/(c\/18). Suppose 0*l + 4*i = 4*l - 24, -2*l - v*i - 4 = 0. Solve 4 + 2 = -l*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 10 = 2*c. Let i be -2 + (-1176)\/(c + 4). What is i rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -978 + 1010. Solve 27*g - 25 = x*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.93 + -2.7. Let v = 2.23 - q. Which is the third smallest value? (a) 4 (b) v (c) 1\/7 (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23646 = 12*b - 25554. Calculate the lowest common multiple of 18 and b.\nAnswer: 36900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8304520 and 20293.\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -4628.7?\nAnswer: -4627.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 3480.\nAnswer: 3479.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 899912 to the power of 1\/2, to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 10*n + 16. Let b be c(2). Solve 0*j + j + 5 = b*i, 2*j + 5 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -555 + 14*l + 554 + 2*l**3 - 11*l**4 + 2*l**2 + 4*l**3 - 4*l**3 + 12*l**4 to the form x + g*l**3 + j*l**4 + m*l + z*l**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 16) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1857709.\nAnswer: 7, 17, 67, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 41*i**2 - 2*i. Let p be w(1). Let j be (-2)\/13 + (-1515)\/p. Let v = j + 51. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5451.7 to the nearest 10.\nAnswer: -5450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 836\/5 - 168. Which is the third biggest value? (a) 0.3 (b) -2 (c) 67 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 535 = -9*o - 5*y, 4*o + 541 = -y. Is o less than -134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 79? (a) -0.03 (b) -0.3 (c) -94 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12861 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-499)\/((-43413)\/26622)*(-1)\/3.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 32547.09 minutes?\nAnswer: 542.4515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*k - 32, k = -k - 5*c + 26. Suppose 4*i - 13 = k*i. Calculate the greatest common factor of i and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-289 - -292) + (-5 - (-12 - 4) - 2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1664236590 from -18.1.\nAnswer: 1664236571.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*2.46157\nAnswer: 1.969256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j + 75 + 70 + 0*j**2 - 150 - 2*j - j**2. Determine b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from ssssxxssssssssxsss?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (2 + 10 + -10)) + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, a: 1, r: 2, h: 2}. What is prob of sequence rra?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -6 + 2)*-2. What is the greatest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-120))\/(20\/72*13*42\/(-1365)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3224.06 - 1389\nAnswer: 1835.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -623 + 665. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 57\/21 + 2\/7. Suppose v = 2*n - 36 - 92, -5*n + i*v = -321. Calculate the greatest common divisor of 21 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 0 - 1\/6*i**4 - 4\/3*i**3 + i**2 + 1\/30*i**6 + 0*i + 2\/15*i**5. Let b(u) = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**3 + 6*q**2 + 4*q + 1. Let j(g) = -g**3 - g**2 - g. Determine 5*j(i) + l(i).\nAnswer: 2*i**3 + i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022256 to the power of 1\/2, to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58614533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/9 - 76*r**2\/9 + 4622*r\/9 - 4544\/9 = 0. What is r?\nAnswer: -71, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**2 - 2*n - 3. Let j be x(5). Suppose -2*y + 0*y = j. Calculate the remainder when (y\/12)\/(2\/(-8)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 192 - 189. Solve z + g*w = w + 10, -3*z + 18 = 2*w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((2*sqrt(7)*2 - sqrt(7)) + 2*sqrt(112) - (3 + sqrt(7) + sqrt(441)\/sqrt(7))))**2.\nAnswer: -84*sqrt(7) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/((-15616)\/(-896))*(2 - (-118)\/(-7))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2223 (base 4) to base 7\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 0 + (2 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4209 + 5328. Calculate the highest common factor of 21 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, v: 1, m: 1, b: 2, d: 1}. Give prob of sequence dub.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 217158 divided by 12774?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**5\/60 + 5*q**4\/24 - q**3\/2 - 2*q**2. Let b be z(-6). Let m = 3 - b. Solve 0*w + w = m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 1, k: 1, o: 2, n: 1, u: 1}. Give prob of picking 1 a, 1 o, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 9*p**2 - p - 1. Let w = 21 - 4. Suppose -5*t + 52 = -5*u + w, 3*t + 9 = -3*u. Does 15 divide n(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00828151 + -162.89.\nAnswer: -162.89828151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101021 - -2?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 856, 845, 828, 805, 776, 741?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 less than 2.68146?\nAnswer: 2.90146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aapsdpadpasp. Give prob of sequence ass.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*f, 4*o - 528 = -0*f - 4*f. List the prime factors of o.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*z = z - 41, 4*o = -5*z - 65. Let s(i) = -2*i - 17. Let t be s(o). Let b = 59 - t. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {d: 1, y: 7, k: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25434881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 197 + -130. Suppose 0 = 3*l - 4*l + x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + 0*i**2 + 0*i**2 + (-3*i + 2*i + 0*i)*(-199*i**3 + 199*i**3 - 19*i**4).\nAnswer: 21*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v + 4. Suppose 2*t + 19 = 3*t - c, -3*t = 4*c - 71. Suppose -3*h + 2*f - 15 = 0, -3*f = -2*h - 2*h - t. Is y(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*g - 61, 3*m + 229 = -g + 46. Let b = m + 104. Suppose 2*h - h = b. What is the remainder when h is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 28*l + 72.\nAnswer: -4*(l - 9)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 581, 4, -18 in ascending order.\nAnswer: -18, 4, 581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 12 = -l. Let b be 18\/4*(-2)\/l. Find the second derivative of -4*q**b + 4*q**3 + q**5 + q wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*l = -347 + 815 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -22*u - 5. Let c be x(-8). Let o = c - 56. Let w = -81 + o. Solve -4*q + 14 = -2*a, -5*a - 4*q - w = -13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-40)\/60)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47664 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -263829\nAnswer: 791487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.4 + -13. Let m = -28 + 137\/5. Sort b, -5, m in decreasing order.\nAnswer: b, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (11 - (4 + 10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -59 + 11. Let g be 6\/(-9)*11\/(77\/105). Let x be (-5)\/(g\/(-4))*(-21)\/(-3). Is x >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0 - 12, 3 = 3*b - 4*t. Suppose b*n - 4*n + h = 0, -3*n = h. Suppose n = -4*l + 5*p - 10, 3*p - 6 = -5*l - 0. Solve l = 3*s + 7 - 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -31*h + 5337. Let j(f) = 3*f**2 - 9*f. What is m(j(u))?\nAnswer: -93*u**2 + 279*u + 5337","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t. Let o(k) = 90*k. Let n(l) = 6*o(l) - 594*u(l). Let f(c) = -13*c. Let z(j) = 18*f(j) - 4*n(j). Let v(d) = d. Give z(v(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 105*m + 910. Let o be q(11). Does -41\/23 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncnl when four letters picked without replacement from cnmkllcclnmmllr?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 58\/3 of a hour?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/7 (b) 1 (c) 2 (d) -3104.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37634 - -80553. What is the ten thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1152 - 1151.9288. Is 1 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 15) to base 10\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 15*x**4 - 1878138*x**3 + 2253657*x**2 + 10893114*x - 2253744 = 0?\nAnswer: -2, 1\/5, 3, 125208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2003 + 67677 = -211*z + 1046*z + 505*z for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1094, 12, 5691 in descending order.\nAnswer: 5691, 1094, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 475606.2 rounded to the nearest 10000?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 1, f: 2, u: 4, l: 4, b: 2}. What is prob of sequence mqu?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -40*n + 8. Let o(f) = 41*f - 10. Determine -4*o(y) - 5*z(y).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (24*88\/(-80))\/(89\/((-10235)\/(-46)))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 30 = 18*r. What is the biggest value in 2, 3, r, -1\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/8, -2\/7, 0.06, 0.87, -1.4, -1\/6, 1?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 6*f**2 + 4*f - 4. Let b(h) = 2*h**3 + 12*h**2 + 8*h - 8. Let o(c) = 3*b(c) - 7*j(c). Let u be o(-5). Let a = u - -33. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*p = -2*s + 4 - 64 + 10, -s - 2*s - 6 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 553*x + 23*x - 16704 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 23*z - 7 - 591 = 0. What is the remainder when 141 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 9*s**2. Let n be g(-9). Let o(v) be the second derivative of 1\/7*v**2 - v - 1\/105*v**6 + 0 + 1\/35*v**5 + n*v**4 - 2\/21*v**3. Factor o(a).\nAnswer: -2*(a - 1)**3*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11058477*d**2 + 4557*d + 172 wrt d.\nAnswer: 22116954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085773.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 12 + 20. Find m such that 2\/3*m**j - 2\/3*m**3 + 2\/3*m**5 + 0*m - 2\/3*m**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 5*t**2 - 6*t + 3. Let v be f(6). Suppose -5*y + 2 - 7 = 0. Let l = y + v. What is the remainder when l is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(95) - (sqrt(95) - (-1*(sqrt(95) - (2*sqrt(95) - sqrt(95))) + sqrt(95))))\/((sqrt(20)\/sqrt(4) + sqrt(5))*4).\nAnswer: sqrt(19)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fdff3f + 13?\nAnswer: fdff52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3. Let a(r) = 5*r + 6. Give 3*a(c) + 6*k(c).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6299.\nAnswer: 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 602355153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k - w + 8, -2*k - 3*w = -5. Suppose 0 = -2*j - 10 - 0, 3*j = k*n - 763. Let q = -61 + n. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**3 + 2*v**2 + 6*v + 7. Let w(q) = 1 + 14*q + 9*q**2 - 4 + 18 - 5*q**2 + 11*q**3. Let o(u) = 9*c(u) - 4*w(u). What is o(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 3*d + 6, 16 = 4*g - 0*g + 4*d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*x + 42. Which is smaller: x or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -6 - (-1 - 4). Suppose l - w = -0*l. Find i such that -9\/4*i**3 - 1\/2*i**l + 7\/4*i**4 + 0 + 5\/4*i**2 - 1\/4*i = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 1 (c) -2\/13 (d) 0.4 (e) -0.008\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 8388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*u - 3*s, -4*u - 4*s + 3 = -9*s. What is the second derivative of u*n - 3*n**2 - n + 7*n**2 + 2*n wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**0)**(-43)\/((n\/n**6)\/(n\/(n*n\/n**2))) assuming n is positive.\nAnswer: n**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -41 - 36 + 7*y + 81. Let p be d(0). Solve 2*v + v + 3*a + 18 = 0, p*a = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 6:12 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Suppose 0 = -p - 2 + i. Solve -6 = -x + 3*o - o, -2*o - 2 = -p*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 19*y - 3041498 = 0. Suppose 4*q = -4158502 - y. What is q rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7505*v - 3756*v + 3*v**2 + 66 - 3750*v as w*v + r + u*v**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -515 (base 12) to base 10.\nAnswer: -737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) -2 (c) -7 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-88)\/(-1))*8\/12. Calculate the least common multiple of 1 and 3\/(b\/21 - -3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4254976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 18 = 2*q, 10 = 2*q - 3*h + h. Suppose -q = 3*y + 8. Let f be ((-12)\/60)\/(1\/11). Are f and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -21668.94486?\nAnswer: 21669.14486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21687)\/(-9) - (-16)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 4*p + 7. Let d be s(-6). Let q(o) = 23*o**2 + 1. Let c be q(1). Let a(k) = -3 - c*k**2 + 0*k + 0 + 23*k**2 - 4*k. Calculate a(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609789 (base 11) in base 9?\nAnswer: 5152333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6139*k + 500083 = -2045*k + 82495 for k.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4*c - 52 = 0, -5*w - 10*c = -9*c - 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**6\/36 + 113*v**5\/60 + 23*v**4\/6 - 3*v**3 + 105. Let z(j) be the third derivative of i(j). Let z(b) = 0. What is b?\nAnswer: -2\/5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4117, -198, -7399, -17498, -30507?\nAnswer: -46438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-52)\/(-14) - ((-16)\/(-14))\/(-4). List the prime factors of ((-15)\/7)\/((-12)\/21)*k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**7\/168 + d**6\/60 - d**5\/80 - d + 3. Let z(a) be the first derivative of r(a). Determine h, given that z(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -237 + 118 + 130 - 170*y to v*y + a and give v.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 16*q**2 + 16*q + 34. Let a be g(-15). Suppose -64 = -5*d - a. Solve d - 5 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.040997 to four dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7655? (a) 0.02 (b) 23 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 6 = 5*g, -5*o + 72208 = -g + 72218 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 68*y - 64*y + 5*n, 10 = -y + 2*n. Solve -240*x + 259*x - 133 = y for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 10:44 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 + 108. Let h(k) be the third derivative of 1\/180*k**6 + w*k**4 - 1\/90*k**5 + 0 + 0*k**3 + 0*k + 4*k**2. Suppose h(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-135.03.\nAnswer: 270.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 4. Let j be a(-3). Let d be 9 - (0 + j) - 2. Solve -28 = d*b + t, -2*b + 4 = -5*t - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 85 - 187*p - 19 - 23 - 27 in the form c + v*p and give v.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/24 and 71\/89037?\nAnswer: 712296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + m + 7. Let r be y(0). Let i be (359 - -1)\/4 + 0. Suppose c - 19 = -u, 5*c - c - i = 3*u. What is the greatest common factor of r and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5520000 rounded to the nearest one hundred thousand?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1486 or 1465?\nAnswer: 1465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 500 and 2.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507042 is divided by 506809?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5247 + 0.0247. Which is the second biggest value? (a) -0.1 (b) -0.2 (c) -17 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by -2.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*85\/(-4)*58*68\/9860?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00485 times -0.097?\nAnswer: 0.00047045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16921.58674 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2806 - 2636. What is the remainder when 1196 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 118.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1561245 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -5. Let h(i) = 50*i + 29. Is h(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/5, 2, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + sqrt(13) + 0)**2.\nAnswer: 6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203413131 + 0?\nAnswer: -203413131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 5047642001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 5180.\nAnswer: 56980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 9:33 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 67\/(5628\/8400)*(3\/3)\/2\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2376062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -8*1\/(-6)*(-36)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10149?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2158686 and 5418.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -284, -384, -472, -554?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p - 2*g + 207 = 0, 4*p + 4*g = -828. Let s = -27 - p. Does 36 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**4 + 85381*c**2*x**3 + 2*x**3 - 57867 with respect to c.\nAnswer: -8*c**3 + 170762*c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 3 + -1*121544. Let b(f) = 61*f**3 - 13*f**2 - 2*f. Let o be b(-7). Let y = o - x. Round y to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -2*a. Let y(t) be the first derivative of -2*t**3\/3 - 3*t**2\/2 - t + 12. Let r(m) = m + 1. What is a*y(l) + 2*r(l)?\nAnswer: -2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10890 and 4230?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14102960.\nAnswer: 2, 5, 173, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 73 + 73 = 0. Let j(o) be the second derivative of -1\/2*o**5 + b - 6*o + 0*o**3 + 0*o**2 + 1\/3*o**4. What is the third derivative of j(w) wrt w?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**4 + 39825*y**3 + 12855369*y**2 + 25591275*y + 12775728 = 0.\nAnswer: -12944, -329, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -820881*f*v**2 - 14*f*v + 275*f - 10*v**2 + 1992 wrt v?\nAnswer: -1641762*f - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -23. Let h be o + 2\/(88\/69483). Let p = 6335\/4 - h. What is the common denominator of 9\/20 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrcrmfcmfcrmhmrmr. What is prob of picking 1 h, 1 m, and 1 r?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(91))\/(sqrt(56)\/sqrt(32)))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12 - 1 - 2*w + 15. Determine v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, h: 4}. What is prob of sequence hhh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14213.77252 + -14214. Round q to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1927*d**3*h + 56*d**2*h + 9*d**2 - 1 wrt d?\nAnswer: -11562*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-14))\/(-1 + 3\/12). Let h = 9.31 + -4.31. Which is the nearest to -3? (a) h (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 1 - (2 + -3). Let s be (0 - 2) + 1 + c. Suppose 2*i - 16 + 4 = s. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*p**2 + (-5 + 2 + 4)*(4 - 4 + p**2) - 46*p + 14*p**2 + 46*p - 4475*p**2 + 4471*p**2 - 29*p + 1 + 7*p.\nAnswer: 9*p**2 - 22*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-3 - -4 - 2) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-133)\/2*(-5787)\/(-13503)*(-5)\/(50\/4)\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10775741?\nAnswer: 71, 151771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-20)*(-1 + -3). Suppose 5*t + 15 = -0*t. Let q be t*((-50)\/(-105))\/5. Which is the nearest to h? (a) -0.3 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 10. Suppose 1 = -z*g + 11. Solve -g = 2*s + 3*m - m, -2*m = 5*s + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 772 and 4923430.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 65*c - 175. Calculate a(-51).\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 16) to base 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*q = 42, -3*c - 6*q + q + 20 = 0. Let i(s) = 9*s - 18. Let l be i(c). Let w = -46 - -64. What is the highest common factor of l and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 52*c**2 + 3*c + 3. Let b(k) = 52*k**2 + 2*k + 2. What is -3*b(h) + 2*r(h)?\nAnswer: 2*h**3 - 52*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6. Suppose y*a = 4*a - 8. Sort a, -4, 4 in descending order.\nAnswer: 4, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33093 times -0.01?\nAnswer: 330.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -371.\nAnswer: -371.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061943 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 3*f + f. Let q(t) = -5*t + 5. Suppose 10 = 11*h - 13*h. Let w(a) = 5*a - 4. Let k(d) = h*w(d) - 4*q(d). Determine k(o(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -4313?\nAnswer: 4321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmk when three letters picked without replacement from {m: 9, k: 10}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19443857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53223 is divided by 579?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 57 (b) 18203 (c) 6\/17 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2\/9 + 3632*l\/3 - 51240 = 0.\nAnswer: -5490, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*z = 1, 5*c = 2*z + 4712 - 4707 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - -23. Suppose 6*f + 15 = f, 0 = -2*v + 2*f + 14. Suppose -o - t = -v*o. What is the greatest common divisor of o and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154415022?\nAnswer: 2, 3, 47, 521, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -2. Suppose 3*c + 3 = k*c. Suppose 4*w + 36 = -0*t + 2*t, -76 = -c*t - 5*w. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 5)*(-30 - 14 - 5) - 1 + 1 + 1)*(-5*a**3 + 4*a**3 - 2*a**3).\nAnswer: 144*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 865*k**3 - 534*k**3 - 517*k**3 - 1 + 2*k**2 + 5*k**3 - k**2 - 4*k**3 + (0*k**2 + k**2 + k**2)*(-3 - k + 3).\nAnswer: -187*k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60447 + 2?\nAnswer: -60445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -0*k - 5*t - 12, k - 3*t - 12 = -0*t + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -67999.95161166\nAnswer: -67995.95161166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0148768 rounded to four decimal places?\nAnswer: 0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4*f - 23 = 0, -7*o + 3*f + 9 + 49 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1473.56mg?\nAnswer: 0.00000147356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73482122 rounded to three dps?\nAnswer: 0.735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 416 and 6032?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 1, -0.6237, 3 in ascending order.\nAnswer: -0.6237, 1, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1340 and 820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 31 = 7. Suppose 5*h - c = 3*h. Calculate the remainder when h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*p + 2 + 2*p + 2*p - 3*p + (5 - 5 + 1)*(-2*p - p + 0*p) to r*p + o and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (9 - (8 - -132)) - (-6 - -2 - -7)\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/5*(-230)\/4. Suppose 4*v - o = -0*v. Calculate the greatest common divisor of v and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312 (base 15) to base 2.\nAnswer: -1010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/13, 6, 6\/17 in descending order.\nAnswer: 6, 6\/17, -9\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siiiiiis. What is prob of sequence sii?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-458)\/(-6) - ((-42)\/(-18))\/7. Suppose 0 = -73*b + w*b - 12. Let z = 4 - -1. Solve -z*p + b*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 5679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8034, 7860, 7562, 7134, 6570, 5864, 5010, 4002?\n\"Answer: -z**3 - 56*z**2 + z + 8090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l + 9. Let g(m) = -m**2 + m. Let p(d) = -d**2 + 6*d - 13. Let h(c) = 2*g(c) - p(c). Let n be h(-7). List the prime factors of j(n).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 615*r = 638*r - 167371. Calculate the remainder when r is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 2*z. Suppose p + s + 23 = 0, -s - 5 = -z. What is the remainder when 42 is divided by (99\/p)\/(2\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 6:40 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**4\/12 - c**3\/6 - c**2 + 8*c. Let j = 15 - -10. Suppose -j*d + 2 = -23*d. Determine o(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -352? (a) -0.04 (b) 0.15 (c) -2\/5 (d) 2 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/856 and 43\/22.\nAnswer: 9416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128.63 - -1.63. Let f = -127.4 - d. Which is the closest to 0? (a) 0.04 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.448 - 0.048. Let g = -67 - -1137\/17. Put g, -3, x, 0 in increasing order.\nAnswer: -3, g, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 22 = -5*l, -2*l - 4*h + 0*h = 4. Let x(z) = z**3 + 10*z**2 + 3*z + 4. List the prime factors of x(l).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64\/7 + 66\/7. What is the third smallest value in m, -0.5, 37\/5?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/10*6\/(-9). Is 1 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*l**2 - 9 + 4 + 53*l**4 - 77*l**4 wrt l.\nAnswer: -576*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyg when three letters picked without replacement from ylgqylqqkhyhqqq.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = 21*h + 20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by -3619?\nAnswer: -92\/3619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 - 439\/4. Factor -n*k**2 - 3\/4*k + 0.\nAnswer: -k*(5*k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 301931492 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29405 + 29403. Suppose 0 = o + 5*o + 144. Sort o, f, 5 in ascending order.\nAnswer: o, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, e: 2, l: 6}. Give prob of sequence ww.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516705139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from {h: 2, q: 1, g: 2, u: 1, r: 2, a: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 6*l**2 + 5*l + 2. Let z(f) = f**3 - f**2 + 7. Let t be z(0). Let b be 46\/(-12) - t\/42. Is r(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268218799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 43.2.\nAnswer: -172.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 135*h**4 + 0*h**3 - 3*h**3 - 136*h**4 + 13 as g*h**2 + n + l*h**3 + p*h**4 + j*h and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681 less than or equal to 1681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 10*c + 1. Determine x(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2392 and 370461?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0968 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (94 - 943 - 1734)*(-2*g**2 + g**2 + 0*g**2) as a*g**2 + b*g + l and give a.\nAnswer: 2583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4097 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 135*s**2 + 14. Is c(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6636 and 1344?\nAnswer: 106176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280896 and 63840.\nAnswer: 1404480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68552 and 1056.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8109 by 93.\nAnswer: -2703\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -30 = 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 0.5, 189, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 734*w - 738*w - 3678, -5*w = n - 3678. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 3*c - 3*i - 9 = 101*c, 0 = 5*c + 2*i + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -10*w**2 - 11. Let x(c) = 2*c**2 + 2. Suppose t - 5*t = 8. Let y(p) = t*k(p) - 11*x(p). Let h(a) = 10*a. Give y(h(z)).\nAnswer: -200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q**3 - 665*q - 516*q - 34*q**3.\nAnswer: 2*q**3 - 1181*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*p - 1041, 8*v = 10*v + 4*p + 2058. Let x = 219 - v. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*-0.88.\nAnswer: -0.1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 - 159*d + 20. What are the prime factors of z(37)?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -105923.\nAnswer: 5\/105923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 107? (a) 2\/19 (b) 0 (c) 2\/7 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -214 - -221. Suppose -5*v - 4*k - 13 = 0, 4*k + 3 = 12*v - u*v. Which is bigger: v or -3\/125?\nAnswer: -3\/125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -75. Let t be (0 - 3) + p\/13. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a + -13693?\nAnswer: -136bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 894796 + -43816. Suppose -7*j + 8*j - g = -4*p, j + 5*p = 850975. What is j rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 3*h + 0*h. Let z(a) = 2*a - 2. Let t(c) = -11*c + 15. Let r(w) = -t(w) - 5*z(w). Give f(r(i)).\nAnswer: 2*i - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/7? (a) 2\/3 (b) -2 (c) -1\/8 (d) -3\/19 (e) -7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oocc when four letters picked without replacement from ccooco?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*j - 8 + 4 = 0, -3*t + 4*j = -4. Let n = 21 + -19. Suppose 2*d = -n*d + 16. Solve -10 - 14 = 3*x + d*i, -x + 4*i + 8 = t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37445280 and 92310?\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 450736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 9*m**2 - 25*m - 11. Is l(-11) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u = 28*u + 2*n - 284, 4*u - 4*n = 284. Let k(o) = -o**3 + 10*o**2 + 15*o - 11. What is the remainder when u is divided by k(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let a(h) = 3 + 3 + 6*h - 1. Let o be 2\/(2 + (-10)\/6). Let x(p) = -7*p - 6. Let n(u) = o*a(u) + 5*x(u). What is z(n(y))?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 569730646 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-63))\/((-52)\/91))\/(3\/(-16)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -3, -48, 44 in increasing order.\nAnswer: -48, -5, -3, -2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o + 22. Let z(q) = 20*q - 114. Let p(y) = -16*n(y) - 3*z(y). Give p(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.031, -0.5, 0.072 in ascending order.\nAnswer: -0.5, -0.3, 0.031, 0.072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3680\/6 + -1 + 5\/(-15). Suppose 3*x = -0*x - m. Let f = x - -301. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 2:33 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7588 and 127347507?\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -1\/6*x - 5\/6*x**2 + 1\/6*x**3 + 5\/6*x**4 + 0 = 0?\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65847083, -131694164, -197541245, -263388326, -329235407?\nAnswer: -395082488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 3. Let z(c) = 2*c + 1. Let p = 18 - 15. Let j(v) = 4*v + 3. Let q(g) = p*j(g) - 5*z(g). Determine -4*k(u) + 3*q(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + -1.7. What is the nearest to -2\/5 in b, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c + 23. Let w = 118 + -122. Calculate the remainder when d(w) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 8:26 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1356441*c - 1665533 wrt c?\nAnswer: 1356441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1192*z + 706*z + 84*z - 3224*z.\nAnswer: -3626*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*l - 3*u - 60, -3*l = -4*u - 10. Let i = l - 91\/9. What is the third smallest value in i, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (572\/91)\/((-4)\/(-14)). Suppose 17*p - g*p = 0. Suppose -4*l + l = -3*y + 90, p = -5*y + 2*l + 156. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 + 313. Suppose -5*x - 18 + s = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from gwcgcwqgqgggsccqg?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 47. Let y be 40\/(-16)*l\/(-10). Factor -2\/3*j**y + 2\/3 + 0*j.\nAnswer: -2*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2634*y**2. Let q(u) = u. Determine t(q(i)).\nAnswer: 2634*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 65?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 708347 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 58. Let p = 0 + -5. Is t <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 45848586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 108111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004501 rounded to 7 dps?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 154.54015 to the nearest integer.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2125*w**3 + 429*w**2 - 2 + 2 + 2*w + 2124*w**3 to y + n*w + t*w**3 + m*w**2 and give m.\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 - 181 - 337*u**3 + 335*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 16. Let i(q) = -3*q**2 + 6*q**2 - n*q**2. Let f(y) be the second derivative of y**4\/6 + 7*y. Determine i(f(r)).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 10) to base 4\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1089377725 to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*m - x, 5*m - 2*x = -6 - 4. Let c(o) = 3*o + 9. Let r be c(m). Solve 4 = r*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305572286.\nAnswer: 2, 47, 3250769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15433*g - 31227*g + 3322*g.\nAnswer: -43338*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905664 is divided by 60?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c. Let u be r(6). Let h be (-16)\/u - (-17)\/(-3). Suppose a + 2 = -a - 2*m, 3*a + m = -7. Sort -2, h, a in descending order.\nAnswer: -2, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*l + 380, 0*l + l + 176 = 2*h. Let q be (-34)\/(-9) + 20\/h. Let k(i) = 5*i**2 + 4*i - 5. Is k(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4990553 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*z = 117*z + 1056. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 139*a - 16. Let b be p(2). Let s = -241 + b. Calculate the smallest common multiple of 42 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q + q**2 - q**2 + 2*q + 5 + 2*q**2. Let l be m(3). Determine s so that 0*s**l - 28 - 3*s**2 + 19 + 12*s = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z - 38 = -25*z. Suppose -7*b - 431 - z = 0. Let l = 70 + b. Put 1, l, -7 in decreasing order.\nAnswer: l, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**8\/1512 - n**6\/270 + n**4\/108 - 9*n**2. Factor t(b).\nAnswer: 2*b*(b - 1)**2*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 12, 55, -1\/3, -2, 30\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37631 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36702 is divided by 749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 5:14 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 9*w + 15. Let u be (44\/(-4) - -3) + 1. Let a be m(u). Let b be (2 + -1)*a*12. Solve -2*z - b = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-6))\/((-3)\/(-8)). Put -1, 14, y in descending order.\nAnswer: 14, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10 - -1)\/((-90)\/150). Suppose -16673 = -b*x + 15742. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/((f*f*f**(-4)\/f*f)\/f)*f))\/f*(f*f**(-2\/33))\/f)\/(f**(-2\/7)\/(f*(f\/f**(-6)*f)\/f)))\/(f**(5\/6)*f**(-1\/6)*f**5\/f**5) assuming f is positive.\nAnswer: f**(274\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.79 plus 0.08?\nAnswer: 45.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 573 + -569. Let f(s) = 4*s**2 + 10*s + 33 - h*s**2 - 2*s**2 + s**2 - 29. What is f(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 18\/9 - 97*(-2)\/24.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31775167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/83 - 146\/415. Let d be -2 + (-2 - (-23)\/6). Which is the nearest to 0.2? (a) d (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4800497 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 872476 * 189.\nAnswer: 164897964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 + -57. Let n = m + -46. Solve -w - 3*w + 12 = n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(o - o + 4*o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.374643 greater than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = l - 54. Suppose 0 = -r + 2*n + 26, 2*r - r - l = -n. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 6*p - 3. Let b be s(5). Let c = b - 6. Let y = 22 - c. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 573716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-16))\/((-1212)\/16160)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 52. Suppose 6*x - p = 2*x - 44, 0 = 2*x + p + 22. Let b = x + z. Calculate the remainder when 20 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -786605 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -16005148.5 to the nearest one hundred thousand.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.173082 and 51.\nAnswer: 51.173082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.03 (b) 2\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = 2*o, 3*d - d - o = 5. Solve 5*c - 22 = n, -2*n = -d*c - 3*n + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -7*p. Suppose 3*i - 42 = -p*i. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**3 + 4*c**2 + 4*c. Let b be 792\/33*1\/(-2). Suppose 9*z = 5*z - 68. Let x = b - z. Let q(h) = 7*h**3 - 5*h**2 - 5*h. Determine x*v(p) + 4*q(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 5 (c) 1\/8 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-1 - 1)*-3. Let p = -6 + 7. Let d(g) = -g + 1. Let f(h) = h**3 + 6*h - 7. What is p*f(c) + r*d(c)?\nAnswer: c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82577.\nAnswer: 11, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -5*w - 9550 + 9585, 5*q + 29 = 3*w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 20, 4, 15, 3 in ascending order.\nAnswer: -5, -1, 3, 4, 15, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/(-2))\/(2\/2255776). Let p = m - 1452392. What is p rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syy when three letters picked without replacement from {y: 16, s: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3332071\/11 + -302199. Let g = x - 716. Which is the smallest value? (a) -0.2 (b) -0.5 (c) g (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 52. Let h = 4 + 19. Suppose 0 = 4*w + h - 187. What is the remainder when w is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 at most as big as -1223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 60*q - 21. Let b(h) = -121*h + 36. What is 4*b(s) + 7*k(s)?\nAnswer: -64*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -229 and -226 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -687666446*i**2 - 706531601*i.\nAnswer: -1375332892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5598 is divided by 2716?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 2. Suppose 2*u + 0 = -4*k - 12, 0 = -3*u - 6. Let w = -4 + k. List the prime factors of o(w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r**3 + 10580*r**2 - 110264*r + 30640 = 0. Calculate r.\nAnswer: -766, 2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (8 + -1 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -3 - (-38 + 49)) + 11 - 11.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -31*r**3 - 3*r**2 - 8*r + 3. Let p(d) = -d**3 - 2*d**2 - 2*d + 1. Determine 4*p(f) - z(f).\nAnswer: 27*f**3 - 5*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*p + 1548028 - 471824, -5*p = -3*w + 645702. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 15*k + d + 10, 5*k + 4*d - 11 = 0. Let t(s) be the first derivative of 0*s - 1\/15*s**k + 19 + 0*s**2. Factor t(x).\nAnswer: -x**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let f(c) = -170*c + 15. Determine y(f(g)).\nAnswer: -170*g + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + j**2 + j**2)*(2*j**3 - 2*j**3 + j**3).\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1714 = -4*q + 18, 3*q - 1248 = -3*x. Suppose 40*m - 25*m - x = 0. Is 31 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14440 (base 9) to base 3\nAnswer: 111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21254 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(1\/(-64)). Let m be (-3)\/((-12)\/l*4). Is m equal to -13\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 5*n - 2*n + (4*n - 7*n + n)*(-4 + 1 - 1) + 4*n - 4*n - n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 744 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11)\/k**6*(k**2*k)\/(k\/(k**(-1)*k)))\/((k*k\/k**(-7))\/(k*k*k**(9\/5)\/k))**(-13) assuming k is positive.\nAnswer: k**(4223\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*l = -116, -2*r + 33*l = 31*l - 50. Solve 5*m = 15, -2*d + 1 = 5*m - r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.6111 to one dp.\nAnswer: 17.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 778*f - 3871. Give l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 4167699?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*p - 80*n + 82*n = 510, p - 4*n = 24 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-3)*58\/58\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 0.0168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 9*s**2 - 7*s - 5. Give m(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 8*i**2 - 8*i**2 - 12*i**4)*(-4*i - i + 2*i) + 4*i**5 - 5*i**4 + 5*i**4.\nAnswer: 40*i**5 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 2, -46285, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 22, 57, 126, 241, 414, 657, 982?\n\"Answer: 2*o**3 - o**2 + 2*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 213*h - 221*h + 5280. Let l = h + -186. List the prime factors of l.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: What is next in 59, 30, -11, -70, -153, -266, -415, -606?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**5\/30 + 13*g**2. Let f(z) = 23*z**2 - 3. Give d(f(n)).\nAnswer: 1058*n**4 - 276*n**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, 161, 501, 993, 1637, 2433?\nAnswer: 3381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*s**2 - 201*s**2 - 230*s**2 in the form t*s**2 + o + v*s and give t.\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1088, 5149, 11916, 21389, 33568, 48453?\n\"Answer: 1353*v**2 + 2*v - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7556962 - 7556158 + 15113120 - 4*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 + 3*n**2 + 94*n - 1. Calculate b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824613.\nAnswer: 3, 274871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-2) + (22 - 13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**2 - 8*w + 8. Let k be 3\/(-35 + 29 - 27\/(-5)). Let o(r) = -7*r**2 - 10*r + 10. Let z(v) = k*b(v) + 4*o(v). Let f(s) = 130*s. Give z(f(x)).\nAnswer: 33800*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 149109257?\nAnswer: -1\/149109257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.58 - -188782.699?\nAnswer: 188848.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 9070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 + 7*a - 38\/3.\nAnswer: -(a - 19)*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75768 and 656.\nAnswer: 151536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j - 6. Suppose -3*o - 3*y + 174 = -153, -j*o = -2*y - 352. Let c = o - 27. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*w + 5*d + 264 = 0, 0 = 2*w - 3*d + 35 - 90 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10468 is divided by 110?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11323 is divided by 186?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/12)\/(1\/168*2). Solve -2 = -11*y + o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24\/347, 2\/5, 7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4614 divided by -6\nAnswer: -769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -91*i - 6. Let k be a(-2). Suppose 2*f - 3*f = -k. Suppose 0 = 4*p - 68 - f. List the prime factors of p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -43*z**8\/56 + z**5\/10 - 37*z**4\/6 + 166*z. Find the third derivative of h(i) wrt i.\nAnswer: -5160*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250*-681.\nAnswer: -170250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300875 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4412, 4403, 4380, 4337, 4268?\n\"Answer: -k**3 - k**2 + k + 4413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -853861827, -853861828, -853861829, -853861830, -853861831?\nAnswer: -853861832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(8\/10))\/((-5320)\/(-1824))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bimrrb. What is prob of sequence mbr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 12 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144327464 to the power of 1\/2, to the nearest integer?\nAnswer: 12014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16887, -2, 2\/7, -3 in descending order.\nAnswer: 2\/7, 0.16887, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9989419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 730*a + 346 + 410*a + 674 + 467*a wrt a.\nAnswer: 1607","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/81*(-216)\/36*(-19)\/40?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 550.999826 - 551. Round q to six dps.\nAnswer: -0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -892339 or -892061?\nAnswer: -892339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 30, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Let z be (-1 + 2)*b - -1. Let i be 2\/(-7) - (-3 - -3). Are i and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 + 82.6. Let s be ((-6)\/(-8))\/(276\/32). Which is the biggest value? (a) k (b) s (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 2. Let t(v) = -18*v + 72. Let u be t(4). What is g(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1045, 5366, 12567, 22648, 35609, 51450?\nAnswer: 70171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4244, -11289, -23016, -39419, -60492, -86229, -116624?\nAnswer: -151671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3418?\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. Suppose v = w + 3 - 5. Solve w*k + 6 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 507754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -131*f - 488. Let s(z) = -720*z - 2728. What is 28*q(o) - 5*s(o)?\nAnswer: -68*o - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 379314 divided by 3\nAnswer: 126438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15990, -16031, -16070, -16107?\n\"Answer: o**2 - 44*o - 15947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7220000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 898 (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q + q**2 - 7*q - 6 + 0*q. Let x be d(16). What is the derivative of -x*p**4 + 3*p - 3*p - 29 + 19*p**4 wrt p?\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*f + 4*f + 0*f - 3*f + (5 - 4 - 3)*(0*f + 0*f - f) - 2*f - 4*f + 7*f to a + g*f and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*b - 14, 3*b = 2*h - 10 - 1. Is 93 + (h - 3 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j + 11. Let z be r(5). Let n = z + -36. Suppose -p + 26150002 = -5*b - 2*p, 0 = 2*b - n*p + 10459990. Round b to the nearest 100000.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 bigger than -248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 11. Suppose 0 = 4*v - 3*w - 18, -z*w + 12 = v - w. Let j = 11 - v. Solve 2*s + 9 = j*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -978 = 23*n - 29*n. List the prime factors of n.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*t**4 + 3161*t**3 - 4*t**2 + 15*t - 3964644.\nAnswer: -8*t**3 + 9483*t**2 - 8*t + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 0*a**5 + 3*a**5 + (0*a**3 - 2*a**3 + a**3)*(a**2 - a**2 + a**2) - 4800*a**3 + 4800*a**3 - 136*a**5 - 2*a**5 + 0*a**5 + 0*a**5.\nAnswer: -137*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 125447573 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 14*p**2 - 2*p - 3. Let c be i(-15). Let q = -148 + c. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 6:00 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.046 and 12?\nAnswer: -24.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -30?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41754 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 714 and 408.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 239478774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32142 is divided by 574?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 1. Let y = -25 + 31. Is 9 a factor of f(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((7336\/(-3))\/(-14))\/((-8)\/(-132))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -cb (base 16) in base 15?\nAnswer: -d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 116 - 2*r**3 + 34.\nAnswer: -2*r**3 + 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**5\/20 + 5*b**4\/12 - 5*b**2\/2 + 8*b. Let l be (6 - 0) + -2 + 1. Calculate v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apa when three letters picked without replacement from iaipiaopi?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -451, -1503, -3545, -6907, -11919, -18911, -28213?\nAnswer: -40155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*-12117.\nAnswer: 339276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*q + 406125 - 394137 = 0 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - j - 2*j + 3*j + j - 5*j + (71 - 82 - 180)*(2*j - 2 + 2) + 0 + 0 - 2*j as b*j + p and give b.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/4)\/r**(2\/33)*r**3*r\/r**(2\/13) assuming r is positive.\nAnswer: r**(5209\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.542302306 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38938.9862 + 29739.28664. Let d = -9200 - m. Let k = d + 0.3. What is k rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -278.501916 rounded to 2 decimal places?\nAnswer: -278.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-454)\/(-6) - 22\/33. Let f = 364 - 334. Calculate the highest common divisor of f and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10 and 2681848849.\nAnswer: 2681848859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 128*i - 558. Let b be t(37). Round b to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41441 divided by 41441\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1253 - 1249. Solve 93 - 81 = -m*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - ((-14 - -8) + -1)) + 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 0 - 1\/4*g**4 + 5\/2*g**3 - 18*g.\nAnswer: -g*(g - 6)**2*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-seven halves of a millennium?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/12*2*-2)\/((-270)\/(-4))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-22) + (-52)\/44. Let w be n\/4 + 9\/(-12). Sort w, 0, -3 in descending order.\nAnswer: 0, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9430\/328 + (-6)\/8. Suppose 7*s - j*s + 189 = 0. Solve -2*g = 8, 3*g - 5*g - s = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 501 + 1 + -2 - 1. Let q be -353 - (-20 + 15 + -7). Let y = m + q. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*f**5*o**2 - 14*f**3*o**2 + 5*f*o + 9*o**2 - 6 wrt f?\nAnswer: -600*f**3*o**2 - 84*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.1 (c) 500 (d) -2\/9 (e) 0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n + 138 = -78 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -24*k - 961. Let n be i(-41). Solve -3*d - 26 = -n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, a: 3, o: 5}. Give prob of picking 3 a.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 1. Suppose 2*q + 3 = d, 18 = -2*d + 4*q - 8*q. Let a(v) = 9*v - 8. Determine d*a(u) + 24*m(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -272 - -160. What is the units digit of z\/(-6) + 4\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 11\/3)*-951 - 2. Suppose 0 = 3*t + t, 0 = 5*r + t - c. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -0.2 (c) 4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**3 - 8*z**2 + 8*z + 31. Let l(d) = -6*d**3 + 11*d**2 - 7*d - 30. Let m(g) = -4*l(g) - 5*t(g). What is the units digit of m(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(3))\/sqrt(11) + -1 + (sqrt(3) + sqrt(75))**2 - (-4*(sqrt(3) + 1 - sqrt(3))**2 - -2*sqrt(3)*3).\nAnswer: -5*sqrt(3) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11895 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-4) + 8\/((-32)\/15) + 3. Let k = -112 - -114. Solve 0*d - 5 = -h + d, -k*h + d + 10 = l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21674621110 - 3576416108582\/165. Let w = -628031 - y. Let x = w + -4\/33. Is 1 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 0*n**3 - n**3)*(5 + 0 - 3)*(-4*n - 2*n + 2*n + (-3 - 3 + 4)*(-4*n + 2*n + 3*n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178755821.\nAnswer: 178755821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 110 = 4*n + 90, 20 = 4*u + n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1213 - 5222*t**3 + 2180 - 702*t**3 + 6881 wrt t?\nAnswer: -17772*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrjr when four letters picked without replacement from {u: 6, r: 4, j: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*j - 9, 4*v - 5*j = 9 + 21. Suppose 0 = 2*b - 34 - 8. Suppose -25 = -5*i, 0*p + 4*p - v*i + b = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/390*95\/(-2). Let a = 30\/11 + -302\/143. Let w = x - a. What is the second smallest value in w, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2010.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*m - 16*m - 37*m + 1120 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 at most 48848\/1373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2 = 4*l, -139*t + 2 = -135*t - 5*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*p + 78. Let j(h) = -h**3 + 18*h**2 - 40*h - 24. Let x be j(p). Let v = 702 + x. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32471?\nAnswer: 19, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 3)\/(2\/(-8)). Suppose 5*d = -m - 12. Let z be -20*((-6)\/d - 2). Calculate the greatest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a + 32. Let s be t(-19). What is the highest common factor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -10. Let z = -8 + r. Let q be (12\/(-8))\/((-90)\/(-8)). Which is the third smallest value? (a) z (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -15*t - 1303*t**2 + 1304*t**2 - 81 + 75. Determine r(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*d + 26910, -271*d - 4*z = -272*d + 5382. Calculate the lowest common multiple of d and 6.\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 305151*k**3 - 305140*k**3 - 2.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -221*j + 81949. Determine w(371).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2718 divided by -906?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 r, and 1 i when four letters picked without replacement from qqqqrrjrqrrirrrr.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -302441*x**2 + 41*x. Let u(g) = -2*g. Calculate u(w(z)).\nAnswer: 604882*z**2 - 82*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 * -5871993\nAnswer: 14092783.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1041*x - 2068*x + 1054*x)*(-5*x + 13*x + 1 - 2).\nAnswer: 216*x**2 - 27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2884969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(6336)*-2)*5*4 + 5)*3*-1)**2.\nAnswer: 604800*sqrt(11) + 91249425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -7*n**6\/40 - n**5\/10 - 2*n**2. Let m(x) = 0. Calculate x.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 18*r - 32. Let j be k(10). Are 345 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, z: 1, v: 2, f: 2, n: 4, o: 6}. What is prob of picking 3 d?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-14 + 13 + 0 + 3)) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.6 - -24.6. Let q = d - 25. Let g = -8 - q. What is the second biggest value in g, 3\/2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 2*m**2 - 3*m)*(-138 + 954 - 161 + 1162) to the form z*m**2 + f + a*m and give z.\nAnswer: -3634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 40 = 5*g. Suppose -5*s + 3*d = 1, -48*s + 3*d = -49*s + 25. Calculate the remainder when g is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 8, 25, 50, 83, 124, 173?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 538312 or -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3702 - 3227. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - o. Let p(r) be the first derivative of 7*r**3\/3 - 3*r**2 + 6. Let g = 2 - 3. Suppose 5*x = a + 34, 8 = x - a - 2. Give g*p(v) + x*l(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13.08768407093 and 4.3.\nAnswer: -8.78768407093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345936710.\nAnswer: 2, 5, 7, 587, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452395 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 4) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 1 - 1)*(2 - 2 + c**3 + (-1 - c**2 + 1)*(459 + 21*c - 459)).\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 160 = 8*m. Calculate the smallest common multiple of m and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 9898*l**2 - l**3 - 9933*l**2 - 4*l + 39 + 7*l + 0*l. Determine a(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -44.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y - 245 = -29 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -40. Which is the second biggest value? (a) -2 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256281.\nAnswer: 13, 41, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35426.\nAnswer: 2, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15044 = 780*m - 3091*m + 706 + 7360 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.8661 and -0.07.\nAnswer: -0.340627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-5\/3))**34*(((l\/((l\/(l*l\/(l**(-6\/5)*l)*l*l*l))\/l))\/l*l)\/l**2)**4 assuming l is positive.\nAnswer: l**(-598\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1 - 3 + 5*i + 8 - 6*i**2 + 3*i**3 - 2*i**3. Determine g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 121*l**2 - 250*l + 885. Give t(119).\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*b - 9*b**2 - 35*b - 1 + 27*b**3.\nAnswer: 27*b**3 - 9*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210 + 241 - (-16 + 7)) + -25?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 > 19918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + m + 2*m + (5 - 2 - 1)*(-m + 0 + 0) - 1 + 1 + m)*(48*m + 75*m - 42*m) in the form n + c*m + s*m**2 and give s.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71 (base 10) to base 2.\nAnswer: -1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 162232809261619\/18329255 + -2540246046\/287. Let n = -10\/1687 - b. What is the common denominator of 23\/10 and n?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6691096.\nAnswer: 2, 836387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.07 (c) -0.1 (d) 3 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - 6. Let a = s - -23. Suppose 2*g + 4*d = 334, -a*d = 2*g - 2*d - 319. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007713241 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -d6cd7 (base 15) in base 11?\nAnswer: -425943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/((-6)\/(-8)). Let b = -0.052 + -0.248. Put b, 2\/7, a in increasing order.\nAnswer: b, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.2819 to two decimal places.\nAnswer: 4.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 3*k + 2765 = 25*h, 0 = -4*h + 5*k + 2212. What is the remainder when h is divided by 63?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 3\/5 (c) 259 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 10 = -2*k, 11904*k - 11906*k + 2*r - 30 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97058513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 13*r - 151. Calculate the lowest common multiple of 12 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100726889?\nAnswer: 29, 3473341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 6*c**2 - c - 2. Let n be (12\/(-5))\/(34\/85). Calculate j(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.4*0.14\nAnswer: -1.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1207 = -136. Let z = y + -126. List the prime factors of z.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggcc when four letters picked without replacement from {j: 5, c: 6, g: 4, n: 4}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-269)\/(71823\/(-267))*3\/2*32.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2848003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542011324 is divided by 151.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 543336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 7*w - 6. Let t be d(6). Suppose -4*p - 479 + 127 = t. Let c be p\/(-10) + (-1)\/(-5). Solve y = 5*f + c, -3*f + 5*y - 23 = -0*y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 74906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/7491 and 35\/7491?\nAnswer: 7491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 - 2 + 46*k**2 - 18*k**2 + 46*k**2 + k in the form p*k**2 + r + j*k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9255 and -0.238.\nAnswer: -9255.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.23 + 726.\nAnswer: 715.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -1, -2\/3, -0.3, 753 in decreasing order.\nAnswer: 753, -2\/11, -0.3, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 14) to base 8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 20. Let q(c) = c**3 - 4*c**2 + 2*c - 5. Let k be q(4). Let l be k - 2 - (-1 - -1). Calculate the greatest common factor of l and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13664699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**3 + 2*n**2 - n. Let x(c) = -c**3 - c. Calculate -k(p) + x(p).\nAnswer: 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10*1)\/(3\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*n - 16 + 7 + 5 + 4 to w + h*n and give h.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 101921747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -37.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -2, -293, 34, -3 in ascending order.\nAnswer: -293, -3, -2, 1, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/178089 and -137\/61410.\nAnswer: 1780890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 295\/(-10) - 22\/(-2) - 3\/(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Let r(d) = -2*d**3 + 0*d**3 - v + 0*d**3 - d**2. Determine r(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 30\/229?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -8. Suppose -2*m - 7 = -3*m. Suppose i - 1 = -m. What is the smallest value in i, -2, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/2))**(2\/5)*(d**2\/d)**20 assuming d is positive.\nAnswer: d**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2197\/180 + 110\/9. Let o(b) be the third derivative of b**2 + 0*b - 1\/6*b**3 - w*b**5 + 0*b**4 + 0. Find the first derivative of o(y) wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (215 + 0*w + w - 223)*(-17 + 17 - 4*w**2).\nAnswer: -4*w**3 + 32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 11*b. Let f be i(18). Calculate the highest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 2 - 2) + 4. Let v be ((-2)\/p)\/(2\/(-8)). Suppose 0 = -5*a - v*a + 77. Are 12 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4611.018 years to centuries.\nAnswer: 46.11018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1072.674 * -5\nAnswer: -5363.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30008773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 111\/39 + 2 + 2\/13. Let j(s) = 499*s - 31. Let z(h) = -249*h + 16. Let r(i) = 3*j(i) + 5*z(i). Is r(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-676)\/390 + 9\/(-15).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 455 - 224. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86\/43*1*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 74?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-15))\/(-3*20\/(-90))*-16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -i + 15364, 7*i - 4*i = -r + 2572. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-9) - 1 - -1. Let z = -864\/275 - -74\/25. Which is the nearest to z? (a) -1 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, c: 3}. What is prob of picking 1 f and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 999131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2 = -k, -n = 4*k - 346413 + 346422 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 78464 + 129532. What are the prime factors of o?\nAnswer: 17333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5013883300 to the power of 1\/3, to the nearest integer?\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77680202 is divided by 4734.\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 + 0*q**3 - 4213*q**2 - 4212*q**2 + 8425*q**2.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9577293 nanometers to kilometers.\nAnswer: 0.0000000000009577293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(10) - sqrt(10)) + -6*sqrt(10)*2)\/(6*2*sqrt(180)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 42868\nAnswer: 214340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((g\/(g*g**(2\/5)*g))\/g*g)*g**(-12))\/(g**1)**(-1\/11) assuming g is positive.\nAnswer: g**(-468\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.476 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 - (-8 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12*((-8)\/12 + 1). Determine t so that -t**u + 6*t**3 - t - 2*t**4 - 3*t**2 + t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -74 - (-454 - -326).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*(3 + (-215)\/100)*5\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1714\/4 - (14\/4 + -3). Suppose 9*i - 2048 = -v. Calculate the remainder when i is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 7*v + 1. Let g be 1 + 0 - (-3 + -22)*-1. Let s = 31 + g. Calculate m(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2. Let r(h) = 2*h**2 + 56*h - 1. Calculate r(w(c)).\nAnswer: 2*c**4 + 56*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62951.\nAnswer: 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31\/105 - 2\/21. Find l such that 0*l + j*l**4 + 0*l**3 + 0 - 1\/5*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1454*p - 253*p + 111787 - 111791 to the form d + r*p and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -12*d - 1739. Determine w(-68).\nAnswer: -923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -0.4 (b) -6 (c) 27829 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 25*g = 95. Suppose -g*y = -14*y + 1809. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -53*r + 1. Let s = -2683 + 2682. Determine f(s).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 27*v**2 + 88*v + 71. Calculate m(30).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/12)*x)\/x**(1\/7))**37\/(x**(1\/3)\/((x**(1\/12)*x)\/x*x))**(1\/56) assuming x is positive.\nAnswer: x**(48257\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.872940621 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 9752103.9\nAnswer: -9752103.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2350*g**3 + 1 - 1 + 2341*g**3 - 4699*g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 3038 = -15*g + 53*g - 72*g for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/10 (b) 4 (c) 1 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9676 - -10751. Are 1076 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 54 and 65\/101092 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and 57.\nAnswer: 79.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/64 and (0 - 60\/768)\/4?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 365, 1305, 2863, 5033, 7809, 11185?\n\"Answer: -y**3 + 315*y**2 + 2*y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -382407*j**4 + 13672*j**2 - j?\nAnswer: -9177768*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*(sqrt(637) + 1) - (sqrt(637) + (sqrt(637) + sqrt(637)*1)*2)**2 - (4*((sqrt(637) - (sqrt(637) + -1)*5 - sqrt(637)) + sqrt(637)))**2).\nAnswer: -179396 + 4508*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039830871 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 22.04. Let c = -0.34 - w. Sort -1, c, -1\/9 in decreasing order.\nAnswer: -1\/9, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108258 + 152662 = 22*s. What are the prime factors of s?\nAnswer: 2, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 16*b**3 + 4321*b**2 + 286*b + 4390. What is i(-270)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 44 - 236 = 0. Calculate the lowest common multiple of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1027*j + 581. List the prime factors of v(8).\nAnswer: 19, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6260636.\nAnswer: 2, 29, 31, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 72. Let z = k + -20. Which is the nearest to z? (a) -1 (b) 7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(-8 + 1) + -3. Let z = r - 4. Calculate the greatest common factor of 14 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1980 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = 3*j. Suppose 0 = 3*f + 9, -2*f - 3*f = v + 1. Let a = v + j. 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: Suppose -29 = s + 14. Let m = s - -76. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**4 - 4*o + 2. Let m = 8 + -6. Let d(i) = i - 1. Let w(h) = m*d(h) + c(h). Find the second derivative of w(x) wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 8:27 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 11 (c) 2\/3 (d) 203 (e) -11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + -1)*1 + sqrt(832))*6.\nAnswer: -6 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 545810 or 545815?\nAnswer: 545815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 7 = 4*i, 4*i = 4*k + 7 + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 3 - 1 + (-5 + 4 + 0)*(3 - 4 + 3) - 2 + 0 + 1 - 2 - 1 + 2)*(3*v + 5 + v**2 + 0 - 3) as u*v + z + q*v**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 50247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 30*f**2 - 35*f - 130. Let i be l(-31). Is 16 a factor of (-3*(-7)\/i)\/(1\/(-242))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633019 - 718821 = -32*k. What are the prime factors of k?\nAnswer: 5, 7, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3005528?\nAnswer: 2, 43, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - q - 1. Suppose 51*z = 10*z - 29479. Let l = -718 - z. Let a(x) = x**3 - x**2 + x + 3. Determine l*s(r) + a(r).\nAnswer: 2*r**3 - r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(sqrt(1100) + -1)*1 + (-5 + (sqrt(660)\/(sqrt(12)*2))\/(sqrt(140)\/sqrt(7)))**2.\nAnswer: 443\/16 + 55*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -695 + 698. Suppose -m*o - 2 = -11. Solve o*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -31*r. Let d(u) = 1767*u. Let h(j) = -341*a(j) - 6*d(j). Let f(w) = -5*w**2 + 4. Let l(t) = 4*t**2 - 3. Let o(x) = -3*f(x) - 4*l(x). Give o(h(q)).\nAnswer: -961*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by (-635)\/(-8) + (-93)\/248.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3435661?\nAnswer: 3435661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 + 3*a. Suppose 0 = -2*q + 1 + 9. Let g(x) = -x**2 - 2*x. Give q*g(s) + 3*w(s).\nAnswer: 4*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 3 = -5*o. Let r = 3 + o. Let m = 5 + r. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-13) - 1454\/13. Let f = h + 37. Let i be 8\/(160\/f)*-4. What is the highest common divisor of i and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -28. Let n(x) = g*x**2 + 7*x**2 - 18*x**2. Let m(i) = -3*i. Calculate m(n(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -17 - ((-104 - -2) + (111 - 111))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 129671 (base 13) in base 4?\nAnswer: 1231230032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*i - 131, 0*t + t = -3*i + 19. Let j = t - 22. What is the units digit of 47 + 4 + 9\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 + 0)*(5*u - 6*u - 7*u)*(0*u**2 - 3*u**2 + 2*u**2) to l*u**2 + k*u**3 + w*u + a and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6370 is divided by 318?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + -5 + sqrt(171) + (sqrt(171) + 2)*2 + sqrt(171) + sqrt(171) + 0 + -3)**2*-3.\nAnswer: -720*sqrt(19) + 51348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7143, -28003, -62769, -111441, -174019, -250503, -340893?\nAnswer: -445189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + r + 2*r**4 + (3*r**4 - 2*r**2 + 2*r**2)*(4 - 2 - 4) + 5*r**4 + 0*r**4 - 4*r**4 - 80472*r**3 + 10*r**4 + 25*r + 80472*r**3.\nAnswer: 7*r**4 + 25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200120121 + -102012?\nAnswer: 10200011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((84\/(-40))\/7)\/((-18)\/(-15))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3695\/3256 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28a2a934 + 2?\nAnswer: 28a2a936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153752*c + 154164*c - 7828 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21659?\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 + -147. Let m = -100 + 99.5. What is the nearest to -1 in 5, m, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 686 and 456043.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - k**2 - k. Let b(c) = 14*c**3 - 5*c**2 - 5*c. What is b(u) - 5*d(u)?\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(102) + sqrt(102) - sqrt(102)) + sqrt(102))*-5)\/(sqrt(48)\/sqrt(2) + sqrt(6)).\nAnswer: -10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1445 and 17.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = -6*o. Let f be (3 + 4\/o)*2. Find the third derivative of j + 4*j**3 - j - f*j**2 - 2*j**3 wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 1 - 1 - 1 - 1)*(-130*n**3 - 126437*n + 126437*n).\nAnswer: -130*n**4 + 260*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 450713995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50.6 - -47.6. Let h = 40 + -7. Let x be h\/(-22) + (-22)\/(-12). Which is the closest to x? (a) 5 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/11)\/k**(-6)*(k\/(k\/(k\/k**0*k)*k*k*k))**32)\/(k\/(k*k**(2\/13))*k**(4\/7)\/k*(k*k*k\/(k*k\/k**(-1\/5))*k)\/k*k*k**(-1)) assuming k is positive.\nAnswer: k**(-128489\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92570433 to the nearest integer?\nAnswer: 9621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/11 + 3688*d**4\/11 + 1651460*d**3\/11 - 44992400*d**2\/11 + 19834750*d - 15895000 = 0. Calculate d.\nAnswer: -935, 1, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983 times -0.005?\nAnswer: -9.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/5 - 7264*t**3\/5 + 6588444*t**2\/5 + 13198688*t\/5 + 6602978\/5.\nAnswer: 2*(t - 1817)**2*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 88.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1446*h + 355*h + 1127*h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3*sqrt(288)*-5 - (4 + (sqrt(288) - (-2*sqrt(288) - sqrt(288)))))*-6)**2.\nAnswer: -38016*sqrt(2) + 1255104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82924819 is divided by 220.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -3) + 2\/19. Let k = 3.6 - 1.8. Let o = 2 - k. Put o, m, 0.1 in ascending order.\nAnswer: 0.1, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80.4 - 46.7. Let s = l + -33.7000201. What is s rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 18820*g. Let l(x) = -3659*x. Calculate h(l(f)).\nAnswer: -68862380*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuwuuwuwuuuu. What is prob of sequence uw?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-195))\/((-4)\/(-10)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12910 + 16209. Calculate the remainder when l is divided by 62.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1293323805 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287 = -22*s - 177 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q + 17. What is the least common multiple of 11 and s(7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + -8 + (6 - 0). Let i(f) = 2*f - 1. Let j be i(3). Is j at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011111010 (base 2) to base 5.\nAnswer: -24121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*g = -49*g + 5*b - 10, 5*g + 3*b = 19. Factor s**4 - 25*s**2 + g*s - 5*s**3 - 13*s**2 + 37*s**2.\nAnswer: s*(s - 5)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -4\/25, -1\/3, -15\/314, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 0*f**2 - 5*f**2)*(429*f**3 + 32*f**3 + 318*f**3).\nAnswer: -2337*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k**2 - 5*k - 136. Let b(u) = 4*u**2 - 2*u - 45. Let g(z) = 8*b(z) - 3*f(z). Let c be g(0). What is the greatest common divisor of 72 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -s + 4. Does 22 divide -1*((-83 - 0) + s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffrrrcfrrrruurf. What is prob of sequence fcr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-2 - (4 + -3)). Suppose 8*v - 5*v = w. Let j = -0.093 + 0.593. Which is the closest to 2\/3? (a) j (b) -0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)*f\/(f**1*f))\/(f*f*f**(-1\/4))**(-49) assuming f is positive.\nAnswer: f**(1025\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*o + 61*o + 91*o + 11*o - 2 to x + z*o and give z.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**2 + 2*i*x**2*z - 7*i*x*z + 5721*i - 4*x**2*z + 11*x**2 - 7*x - 17*z wrt i?\nAnswer: 2*i + 2*x**2*z - 7*x*z + 5721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1792 and 109\/7487744.\nAnswer: 52414208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 344*n**2 + 453*n + 982. Let o(r) = 188*r**2 + 226*r + 492. Let c(m) = 6*g(m) - 11*o(m). Factor c(w).\nAnswer: -4*(w - 60)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 16*z - 25. Let f be r(14). Solve -k = -2*k - 5*i + f, -12 = -4*k + 3*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 - 2*i**2 - 102 - 8*i**2.\nAnswer: -10*i**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.0305197\nAnswer: -0.00610394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/4593277 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sse when three letters picked without replacement from {s: 3, t: 1, e: 1, d: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/66 and 16\/77?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/22338 + -731657\/390915. Find the common denominator of 253967\/(-11360) + (-88)\/(-4) and x.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8142533.\nAnswer: 7, 29, 40111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6641 and 348.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2) + (26 - 17). Suppose -14*n + 2190 = -l*n. List the prime factors of n.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 331, 719, 1255, 1939, 2771, 3751?\nAnswer: 4879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:51 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142895265?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 13*a + 38, 10 + 0 = -4*a - 6 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 78 = -70, 3*q + 8 = 2*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -1\/12*j**4 - 3 - 9*j**3 - 53\/2*j**2 - j. Suppose i(n) = 0. Calculate n.\nAnswer: -53, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*w = -0*m + 40, m - 10 = -w. Which is greater: m or 9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73635, 294507, 662629, 1178007, 1840647?\nAnswer: 2650555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 7*m - 4. Let g be r(6). Suppose -3*u = -g + 71. Calculate the remainder when u is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*t + 2*t + 344, -3*a = 3*t - 258. Is a > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.58 - 0.68. What is the nearest to 2\/5 in -1\/2, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p - 277. Let f(u) = 2*u - 71. What is -9*f(x) + 2*o(x)?\nAnswer: -4*x + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(sqrt(99) - sqrt(99)*-3 - sqrt(99))**2 - ((-3 + sqrt(99)*3)**2 - sqrt(99))).\nAnswer: -228*sqrt(11) + 21420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011011 - -10101001?\nAnswer: 1110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**6\/120 + 4*l**5\/15 - l**4\/24 + 7*l**3\/6 + 45*l**2\/2 - 12*l. Let z(o) be the first derivative of d(o). Give z(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*t**2 + t**2 - 2*t + 2041 - 2040 as f*t + l + y*t**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 11*n**4\/6 - n**3\/6 + 2*n + 2. Let k(o) be the first derivative of b(o). What is the remainder when k(-1) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/13? (a) 0.4 (b) -342 (c) -0.5 (d) -2\/11 (e) 6\/11 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 608857\/9 - 67452. Let d = 199 - k. Let w = -5.07 + 5. What is the second smallest value in d, 0.3, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 greater than 313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 125567483 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-1)\/((-43)\/1))\/((3886\/134)\/58)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**7)\/a*a**(-12)*(a*(a**(-5\/3)*a)\/a*a)\/(a*a**10*a) assuming a is positive.\nAnswer: a**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/24 + (-6)\/16. Suppose o = -t + 3. Solve -5*g + 18 = t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 147ab + -4b3?\nAnswer: 142c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453128229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let m = -73 + 79.2. Let s = -1.2 + m. Sort s, -1, -4 in decreasing order.\nAnswer: s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e6 - -1d?\nAnswer: -3c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**4\/5 - 2999*i**3\/5 - 2805408*i**2\/5 - 775777068*i\/5 - 2302163424\/5 = 0?\nAnswer: -1254, -488, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 1141.\nAnswer: 18256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 4*s + 1. Let g = 2 + 0. Let a(b) = b**2 + 3*b + 0*b**2 - 3 + g. Let y(t) = 4*a(t) + 3*o(t). Differentiate y(c) with respect to c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z + 745 = 2*z + 1555. Solve -18 = -36*m + z*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 184251, 184399, 184645, 184989, 185431, 185971?\n\"Answer: 49*b**2 + b + 184201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137266 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 636594.\nAnswer: 3182970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1140792937 to the nearest integer?\nAnswer: 33776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -18*l + 87, -4*l = 4*y + 79 - 95 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6919)\/(-4)*(-8)\/12*-6. Suppose 0*o = 11*o - w. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + (161\/14 - -10))\/(-6)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n + 2. Suppose -4*c - 5 = -3*c. Let a(t) = 4*t + 1. Give c*a(u) + 3*h(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74062 + -74061.6. Let n = 41\/6 - 20\/3. Let p = -1 - 0. Which is the closest to 1\/3? (a) o (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4)\/r)\/r)\/(r*r**4\/r)*r\/(((r*r*r\/(r*(r\/(r**2\/r))\/r))\/r*r)\/r)*r\/r**(-4\/3)*(r**(1\/3))**11*r*r**2*r*r**(-1\/9) assuming r is positive.\nAnswer: r**(95\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.20633 microseconds?\nAnswer: 8206.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0554691456 + -0.05546. What is s rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.20024 - -4.79976. What is the nearest to -5 in 2, y, -4\/5, 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**6\/120 - b**5\/120 + b**4\/4 + 4*b**3\/3 + 4*b**2. Let i(p) be the first derivative of a(p). Is 15 a factor of i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4116978310 rounded to the nearest 1000000?\nAnswer: 4117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/505191 and 2\/825.\nAnswer: 138927525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -5 (b) 5\/3 (c) 1 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 3*p**2 + 6*p + 4. Let t be l(4). Let i(h) = -h**3 + 16*h**2 + 4*h + 22. What is the tens digit of i(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-15) - (-96)\/20. Let z be (-1)\/((-1)\/j) + 0. Let w(f) = f**3 - 6*f**2 + 6*f - 3. Let k be w(z). Solve -2*i = k*d - 2 + 8, -4*d - 2*i = 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1835*c**3*f*y**2 - 9*c**3*y**3 + c**3*y**2 - 3*c**2*f*y + c**2*y**3 - 29*c*y**2 - 1583*f*y**3 wrt y.\nAnswer: -54*c**3 + 6*c**2 - 9498*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l - 6082 + 14*l + 6084 - 70*l.\nAnswer: -72*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 65388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4152866478 to the nearest integer?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 2. Let a(c) = -c**2 - 8*c - 4. Let k be a(-5). Let l be u(k). Let n(t) = t**3 + 13*t**2 - t + 13. What is the tens digit of n(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**4 + 72*a**3 - 3*a**2 + 211*a. Let h(m) = -73*m**3 + 2*m**2 - 212*m. Let r(l) = -3*h(l) - 2*s(l). Find the second derivative of r(x) wrt x.\nAnswer: 24*x**2 + 450*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -45699, -126, -0.01?\nAnswer: -45699","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104002504.\nAnswer: 2, 19, 23, 71, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1\/5, 2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-6)))\/(x\/x**1))\/(x*x\/x**(1\/2)*x)**45 assuming x is positive.\nAnswer: x**(-237\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 12:01 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -144\/11 + 36\/11*p**2 + 8\/11*p - 2\/11*p**3 = 0.\nAnswer: -2, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in ninety-nine quarters of a kilometer?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2897, -2625, -2179, -1565, -789, 143, 1225, 2451?\n\"Answer: -i**3 + 93*i**2 - 2989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2 - -3) + -12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 495 + -493. Calculate the lowest common multiple of o and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229289 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f - 120 = -3*f - 9*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 663551 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -2*h - 144. Differentiate 3*l**2 + h + 4*l - 4*l - 34 with respect to l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011100001100001110110100 + 11?\nAnswer: -100011100001100001110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/2 (b) 9 (c) 4\/5 (d) 0.3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238022899 to the power of 1\/2, to the nearest integer?\nAnswer: 15428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 45. Differentiate -10*g + l*g + 18 - 3*g with respect to g.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11377 and 111935.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*b + 3772 + 6187. List the prime factors of b.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 10*u - 2*u - 4*u - 10. Let d = 1242 + -1253. Is k(d) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 14 = 3*f. Let a(k) = k**3 - 3*k**2 + 13*k + 5. Let z(h) = -h**2 - h. Let u(b) = a(b) + 5*z(b). What is the units digit of u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 7. Let w(h) = 9 - 5*h + 16 - h**2 - 13. Let r be w(-6). What is d(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 + 6 + -11 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 833 and 2185554?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 88 = -237. Let y = 69 - m. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let p be w\/2 + 33\/6. Let o be (-4)\/p - 48\/(-45). Is -1\/3 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:42 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6776 is divided by 115.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**7*b*b*b\/(b*b**(1\/5))*b**(2\/19)\/b*b\/b**(-4)*b assuming b is positive.\nAnswer: b**(1321\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1660*f - 389100 = 2209*f + 1319*f for f.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**7\/14 - l**6\/15 + 9*l**5\/10 + l**4\/4 + 723*l**2\/2 - 3774*l. What is the third derivative of x(u) wrt u?\nAnswer: 180*u**2 - 48*u + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2 + s - 5. Let o(l) = -l**3 + 10*l**2 - 8*l - 13. Let v be o(9). Is h(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -989943, -989684, -989251, -988644, -987863?\n\"Answer: 87*q**2 - 2*q - 990028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*a - 34. Let u be (a*-17)\/(-6 - -5). Differentiate 0*o**4 - 193 + u - 9*o**4 wrt o.\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + -10052?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.0081, 0.2, -5?\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -414*b**3 - 60 + 818*b**3 - 409*b**3 + 65*b = 0. Calculate b.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 11*c**2 + 10*c - 6. Give q(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*x + 87*x - 41*x**2 - 8*x**2 + 5*x**2 + 2 as p*x + r + i*x**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 852142*v\/3 + 2556372.\nAnswer: 2*(v + 9)*(v + 426062)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -553 = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11357726 is divided by 11357703.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3879\/(-440))\/((-24)\/(-482)). Let i = -6107\/32 - t. Let h = i + 210\/11. Find the common denominator of h and 61\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 4*w - 410. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b**2 + 6*b - 6. Let c(j) = 23*j**2 - 17*j + 17. Let r(n) = -6*c(n) - 17*m(n). Let z(o) = 15*o**2. Give z(r(g)).\nAnswer: 60*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*g + 9, 0*g + 12 = r + 3*g. Suppose 0 = -2*z + r*m + 71, 3*m + 48 = -3*z + 147. Calculate the remainder when z is divided by -6*(1\/3 - 8\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2722 + 4143. List the prime factors of d.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1437.92 and -5396.\nAnswer: -6833.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*m + 25*m + 43*m + 171*m)*(m**4 + 4*m**4 - 2*m**4).\nAnswer: 1017*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 6*c - 5. Determine r(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}