diff --git "a/data/dm_maths/full_data_1/10360_11255.jsonl" "b/data/dm_maths/full_data_1/10360_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10360_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -14 = 2*z + 4*o, -3*z = -8*z - o + 10. Let s be ((-6)\/z)\/(8\/(-12)). Let p(u) = -u + 3*u - s*u + 3*u. Let c(k) = -9*k. Calculate c(p(j)).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0676 and 113895.\nAnswer: 113894.9324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 + 0 = 0. Is y*(-3 - (-1 + 0)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 0, 108413*b - 5*y + 227 = 108454*b - 265 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13221)\/2210 - -6) + 8\/(-68)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/46876442 and 23\/14.\nAnswer: 328135094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.2 (c) -1 (d) 0.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 986080\/18361 + 24\/2623. Let b = j - 54. What is the second biggest value in -3\/2, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11434.\nAnswer: 2, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 <= -241.106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t - 264 = 0. Let y be 58\/12 - 11\/t. Solve y*z = 10*z + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - l - 15. What is the units digit of x(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 10*f**3 - 1236*f**2 + 1638*f + 223587.\nAnswer: (f - 21)**2*(f + 13)*(f + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 9:55 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -537, -3, 134, 0, 3 in ascending order.\nAnswer: -537, -3, 0, 3, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 11*a**2 + 33 - 4*a**2 - a + 14*a + 9*a. List the prime factors of i(8).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 4*y**2 + 2*y + 3. Let k be r(3). Suppose n - 5 = k, 0 = 3*d - 2*n + 3*n - 2. Let h be (-2)\/(6\/15*d). Sort 0, 4, h in decreasing order.\nAnswer: h, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2831592 divided by 4?\nAnswer: 707898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1030048, -1030041, -1030032, -1030021?\n\"Answer: v**2 + 4*v - 1030053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuluuuluuuul. Give prob of sequence ulu.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238353 divided by 5.\nAnswer: -238353\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101760 and 318?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**5\/7 + 50334*r**4\/7 - 211075551*r**3\/7 - 423510240*r**2\/7 + 693433500*r + 12670578000\/7 = 0.\nAnswer: -4, -3, 5, 8390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 15*r**2 + 13*r + 14. Let a be i(14). Suppose -3*u + 52 + 47 = a. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(63)\/(2*sqrt(1296)))**2 + -4 + (sqrt(7) + 0)**2*-5*-4.\nAnswer: 8711\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2258518.7276 to the nearest 1000.\nAnswer: -2259000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -11*d + 10*d - 22, 17 = 4*d + 5*l. Let f(t) = -16*t - 29. Calculate f(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 102 + 18 = 0. Let i = -40 - j. Suppose 7 = -i*h + 3, -a + 3*h = -4. Let o(p) = -p**2 - 4*p + 1. Determine o(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 3104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**2*n**2 - d**2*n - d**2 - 3*d - 3*n**5 - 165*n**4 + 29*n wrt n.\nAnswer: -6*d**2 - 60*n**3 - 1980*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*t + 0*t - 4*t)*(48 - 47 - 9*t + 0*t + (-5 - 2 + 3)*(-t + 0*t + 6*t)) - 8*t**2 + 2*t**2 - t**2)*(4 - 3 - 2)*(-4*t + t + t).\nAnswer: -72*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 4*m - 83. Let a be x(-9). Calculate the greatest common factor of 85 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-2)*(-11 - 1602\/(-126)). Let d(v) = -v**2 - 12*v - 33. What is d(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(288) - (-2 + sqrt(288))*4)*5 + (-1 + 2 + sqrt(288) - sqrt(288)) + -5 + 1)**2.\nAnswer: -226080*sqrt(2) + 1061449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -189580*t - 1. Let j be s(15). Let h = j - 1656299. What is h rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuunknupnnuuknunn.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 6*g + g - 92, 5*g = -20. Suppose -23*q + n = -41*q. Let c(u) = -7*u**3 - 2*u**2 - 2*u - 1. Determine c(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5271, -5744, -6375, -7158, -8087?\nAnswer: -9156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2888 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 14*s + 2. Let r be (-50)\/4 + 27\/(-18). Let i be b(r). Find the third derivative of -882*m + 25*m**i + 27*m**3 + 882*m wrt m.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407083905?\nAnswer: 3, 5, 9046309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -19497*f + 467756. Give k(24).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 + 3e5?\nAnswer: 3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 93*b - 180 - 10 = 0. Put 3, 246.8, b in decreasing order.\nAnswer: 246.8, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13122671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Let t be 1 - -4*2\/q. Let x be 2\/((2 - 3) + 0). Sort t, x, 0.\nAnswer: x, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70432 = 1866*p - 69518 for p.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kllltlklt. Give prob of picking 2 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1737 - 3015 = -70*j + 16*j. Do j and 119 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -127.854 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q + 20. Let r be (-14)\/(-5) - 2\/q. Suppose -168 = -r*i - i. What is the remainder when i is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -242*b**2 + 4*b - 8. Let d(v) = -243*v**2 + 3*v - 6. Calculate 4*d(t) - 3*u(t).\nAnswer: -246*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0077415629 to four decimal places.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*y - 4*h, 0 = -3*h + 3 + 12. Let r = y + -19. Solve r*z - 8 = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3090*x + 11701*x - 3916*x to r + s*x and give s.\nAnswer: 4695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**5*d\/(d**(-10\/7)*d*d)*d)**(-7))**(-13\/2))**(-40) assuming d is positive.\nAnswer: d**(-11700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -15. Let b = i - 8. Suppose b = 8*u - 10*u + 1438. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 24*h. Let q(v) = -23*v**2. Determine q(z(n)).\nAnswer: -13248*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Suppose 5*y + 14 = -b*o, 3*o = -0*y + 2*y + 14. Suppose -o*c = -12 - 2. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 2. Let h(g) = -10*g + 8. Let m(q) = -2*h(q) - 9*l(q). Give m(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f = -4*g + 17867, -3*g + 3*f = -13395. Suppose -g = -15*y - 11. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 x when three letters picked without replacement from {d: 1, l: 6, x: 1, z: 3, q: 3, m: 6}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, -0.05, -9\/22, 2\/13 in ascending order.\nAnswer: -9\/22, -0.13, -0.05, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2476\/5 + -9919\/20. Sort 0.06, -2\/17, -5\/3, 4, k in increasing order.\nAnswer: -5\/3, k, -2\/17, 0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2022, -2967, -3894, -4803, -5694?\n\"Answer: 9*y**2 - 972*y - 1059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbtwwxmg. Give prob of picking 1 w and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + l - 28 = 0, 0 = -g + 3*l - 8 - 6. Suppose -7*i + 42 = -21*i. Let n(t) = 2*t + 4. Let k be n(-2). Sort i, k, g, -4 in decreasing order.\nAnswer: k, i, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02053 + 0.07947. What is the fourth smallest value in 1\/6, 0.3, -1.7, w, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 12:24 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6564*c + 2*c**3 + 0*c**2 + 2*c**2 - 4*c**2.\nAnswer: 2*c**3 - 2*c**2 + 6564*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4035135110 + 10?\nAnswer: -4035135100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4161\/584)\/((-135)\/(-72))\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1203 + 447 = -14*q. Sort -2, q, 0, -1.\nAnswer: -2, -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b**3 - 8*b - 6. Let v(x) = 5*x**3 + 5*x + 4. Determine -5*t(y) - 8*v(y).\nAnswer: -5*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 601773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 97*y**3\/6 + 17*y**2 - 94*y - 1. What is the derivative of p(j) wrt j?\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1697*w**2 + 8 + 725*w**2 - 679*w**2.\nAnswer: 1743*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.7. Let s = 0.2 - 0.7. Let y = -0.3 - s. What is the third biggest value in d, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from qvvqgqnsnsqsrsrrn.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58f2 - 1f6?\nAnswer: -5ae8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmmmjpmggb. What is prob of picking 1 b and 1 m?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 320.1051ms in nanoseconds?\nAnswer: 320105100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 28*v**2 - 25*v + 298. Calculate the remainder when u(-28) is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707a6a6 (base 11) to base 13.\nAnswer: 2793759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 33\/2 (c) -2\/13 (d) -2 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13392 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*o + 3 = -4*y - 59*o, -4*y = -4*o + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 18*z = -10. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8019)\/1782)\/((-18)\/136).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3392*n + 30534. What is p(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021899814 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 8:07 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Find the common denominator of 77\/(-6)*u\/4 and -45\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - n + 4041, 48*f + 8086 = 50*f + 4*n. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - (-5 + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*p - 14*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 7*d + 9. Let o be k(-4). Calculate the remainder when 83 is divided by (11\/o)\/((-1)\/12) - 2.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208991 = -1807*l + 74748 - 89825 for l.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuutttuttuuu. Give prob of sequence ttt.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 4*w**3 + 8*w**3 - 3*w**3. Calculate z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1688944*m + 6235619*m + 109541*m + 5394332*m.\nAnswer: 10050548*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*h - 15 = -338*h. Let d be ((-48)\/(-20))\/(6\/40). What is the remainder when d*(3 + h\/(-4)) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 19. Let q be w(6). Solve 25 = 5*n - 5*c, 8 = 5*n + c - q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 237 - 174*h**2 - 78 - 75 + 2*h**3 - 81 as r*h**2 + l*h + n + k*h**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47.51 + -47.10835. What is h rounded to 3 decimal places?\nAnswer: 0.402","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 0 (c) 3\/4 (d) 0.3274\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*q - 3*q + 3*c - 3, 0 = 5*q - 4*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**2 - 20*n. Let s be p(4). Let h = -47 + 71. Let w be (-6)\/h*12\/(-15). Which is smaller: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(77) + (((sqrt(77) - sqrt(77)*3) + sqrt(77))*1 - sqrt(77)) + sqrt(77))\/(sqrt(252) + (sqrt(252)*-3 - sqrt(252))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17.53*0.1906\nAnswer: 3.341218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m**2 + 458072735*m - 39*m**2 - 458072735*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7954*w + 3165674. Determine n(398).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-39775.391.\nAnswer: -119326.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 166819434 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2. Let w(d) = -d + 7. Suppose 0 = -b - 2*b + 30. Let y(s) = b*a(s) + 2*w(s). Let h be y(-7). What is the greatest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08624262972662 less than -0.1?\nAnswer: -0.01375737027338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5 + 1 - 3 + 5 + s. Let p be l(-4). Suppose -p*m = 2*m - 18. Solve m*u - 2*n - 19 = 0, u - 6 = 2*n + 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**3 - 2451*b**2 + 2451*b**2 + 111*b**3.\nAnswer: 93*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3462, 3, -1.\nAnswer: -3462, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k + 32. Let x be z(-5). Let y(s) = -8*s + 1. Let l(t) = -8*t + 1. Let v(q) = 6*l(q) - 5*y(q). Let o(c) = 23*c - 3. Give x*v(w) + 6*o(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4549265491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 + -0.06. Suppose -8*y - 8*y - 23328 = 0. Let p be (-3)\/(y\/(-144) - (-3)\/8). What is the biggest value in p, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + 2*g - 2*g)*(4 - 4 + 2*g) + 1133*g**4 - 1123*g**4 + 16*g**5 + 8*g**5.\nAnswer: 22*g**5 + 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123566496?\nAnswer: 2, 3, 31, 41521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 14*n + 37. Let i(k) = -5*k - 12. Let h(v) = 8*i(v) + 3*x(v). Let s be h(-10). Which is the nearest to 1? (a) 0.2 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iww when three letters picked without replacement from {w: 3, i: 8}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4*m = 8, -p + m - 417 = -419 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -405 + 269. Let w be (5 - (-800)\/g) + (2 - 1). Which is the second smallest value? (a) 3\/4 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 3*k + r, -5*k + 94*r = 93*r - 54 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*a - 13, 4*a + 1 = m + 3. Suppose -3*i - 4*g + 845 = 0, -578 = -m*i + 4*g - 3*g. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r + 1686*r + 259*r)*(6 - 1 - 3) + (-1 + 2 - 3)*(0*r + 0*r - r) as q + w*r and give w.\nAnswer: 3882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*g - r - 6, 5*r - 140 = -5*g. What is the remainder when 687 is divided by g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.367 and 0.4.\nAnswer: 1.7468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*w - 74, -w - 2*k + 33 + 2 = 0. Let z(x) = -x**2 + 5*x - 5. Let r be z(5). Let n(j) = -2*j. Calculate the remainder when w is divided by n(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**5 - 135*y**4 + 429*y**3 + 2087*y**2 + 2352*y + 828 = 0.\nAnswer: -138, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.4959 to 2 dps.\nAnswer: 19.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/78124 and -71\/4.\nAnswer: 78124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/243360 and 119\/30.\nAnswer: 243360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i. Let t be 4\/44*-36 + 3. Which is smaller: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 301968 and 68036?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*b + 54. Suppose 2*p - 13 = b. Suppose 5*a - 32 - p = 0. Solve -x + 17 = -0*x - 4*z, z + a = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 12*t**2 + 18*t + 17. Let o be m(10). Find the common denominator of o + 2488\/(-532) - 2\/(-19) and 2\/(-6) - (-338)\/24.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04002503497 to six decimal places.\nAnswer: -0.040025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 20 + -3 + 11 + 35.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/21, 2\/263, 81\/10, -16\/3?\nAnswer: 2\/263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -600*t**3 + t**2 + 2*t + 2. Let s be a(-1). Suppose s*k - 108 = 599*k. Calculate the highest common divisor of 99 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**2 - 29885*o + 89610 = 0.\nAnswer: 3, 5974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*v**3 - 12 + 12.\nAnswer: -123*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**4 - 3328*q**3 + 198232*q**2 + 916992*q - 4445532 = 0 for q.\nAnswer: -7, 3, 69, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646 (base 15) in base 9?\nAnswer: 6513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7796*p + 3113. Calculate g(0).\nAnswer: 3113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 119*c**6\/3 + c**2\/2 + 21*c - 363. What is the second derivative of n(x) wrt x?\nAnswer: 4760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198 + -41. List the prime factors of p.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 5*y**2\/2 + 2. Let f(m) = 60*m. Let h(r) = 2*f(r) - 25*j(r). Is h(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13566 and 93072.\nAnswer: 30062256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2*p + 13 = 0, y - 54 + 57 = -3*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-28))\/(1\/(40\/(-15))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/10559 or 1?\nAnswer: 6\/10559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -242*c**4 + 4202*c**3 - 11668*c**2 + 3832*c - 336 = 0. Calculate c.\nAnswer: 2\/11, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91883946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7320 or 7321?\nAnswer: 7320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f - 4. Let d(b) = -7*b + 7. Let w(x) = -6*x + 8. Let o(a) = -3*d(a) + 2*w(a). Let l(q) = 5*g(q) - 4*o(q). Give l(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcbb when four letters picked without replacement from {c: 2, d: 6, b: 7}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((1846 + -14)\/8)\/((-2)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 4*d + 78576 = -8*d. List the prime factors of d.\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*l**2 + 5\/4*l + 0.\nAnswer: l*(l + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 8 - 32)*(-2*p**4 + 0*p**2 - 2*p**2 + 6*p**4) - 2 + 2 + 3*p**4.\nAnswer: -65*p**4 + 34*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -35\/141 (b) -3 (c) 3 (d) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 o when four letters picked without replacement from rorrrrohhrrohrhorro.\nAnswer: 75\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 1. Let t(v) = -2*v + 3. Calculate 6*r(k) - t(k).\nAnswer: -4*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 - 3*w**2 + 4*w + 3. Let x be p(-3). Let z = 5 - x. Let i(s) = -s**3 + 9*s**2 + 17*s + 8. Is i(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k**2 + 178*k - 25. Let h be i(16). Solve -6*d = -h + 31 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1836, -1876, -1960, -2088?\n\"Answer: -22*x**2 + 26*x - 1840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/9 - 1916408*u + 4131697075272 = 0. Calculate u.\nAnswer: 4311918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1 - (1 - ((-19 - -16) + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -108*g - 751. Let j be z(-7). Let o(b) be the third derivative of 0*b**3 + 0*b - j*b**2 - 1\/4*b**5 + 0*b**4 + 0. Let y(a) = -a**2. Calculate o(y(l)).\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 188?\nAnswer: -65\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*t + 22*t - 15*t)*(0*t + 3*t - 2*t) - 6*t - 43*t**2 + 25 + 31*t**2 + 10*t**2.\nAnswer: -25*t**2 - 6*t + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -352 - -496. Let c = -148 + y. Is 1\/19 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 1. Suppose c = -x + 1. Is (x\/(-3))\/((-2)\/(-38)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.2, 1, -0.09, 0, 2\/9?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 630420266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 184\/(-322)*14\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**8\/70560 - n**7\/2520 + n**6\/420 - n**5\/60 + 12*n**2. Let u(x) be the third derivative of o(x). Factor u(c).\nAnswer: 2*(c - 6)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 2*g**2 + g - 3. Let l be i(-3). Suppose -l*r + 6 + 6 = 0. Solve 0 = -s - r*o + 6, s + 4*s + 8 = -o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 36, 82, 140, 210, 292, 386?\n\"Answer: 6*h**2 + 16*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 4*u - 16, 4103*u + 4 = -5*v + 4101*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 + 42*v + 104. Calculate r(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14523?\nAnswer: 3, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-1*-4)\/(sqrt(8) + sqrt(88)\/(sqrt(22)\/sqrt(2))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a60 + 313?\nAnswer: -674c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 275245823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 957096 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30009518149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013228 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:02 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 - 55*a - 352. Let y be m(-11). Suppose -11*i - 4 = -12*i. Solve 3*x + 3*u - 4*u = y, -5*x - i*u = -24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 4*l - 2*l)*(4 - 4 + 2)*(-20 + 12 - 26).\nAnswer: -204*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12*(-256)\/7. Let z = y + 135\/14. Suppose z*n**2 + 0*n + 0 = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = 12*z - 67*z + 61. Let h(p) be the third derivative of 0 + 0*p**4 + 0*p - 1\/720*p**6 + 0*p**3 - 26*p**2 + 0*p**z. Let h(q) = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83079.5 nanograms to tonnes.\nAnswer: 0.0000000000830795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1510.5 - -1511. Which is the smallest value? (a) -82 (b) 14 (c) 0.2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8786 - 7077. Calculate the remainder when j is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/491 at least -13921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0293 and -612549?\nAnswer: -17947.6857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*q + 3*q. Suppose -2*h = 2*x + 22, -10 = 8*h - 6*h. Let a = x - q. Solve -3*s + 21 = -2*f, -1 - 11 = -f - a*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*l**5*q + l**3*q**2 - l**3*q - 39*l*q**2 + 2*l*q wrt l.\nAnswer: -320*l**3*q + 6*l*q**2 - 6*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {c: 1, q: 1, v: 2, r: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122159*b**2 + 122159*b**2 - 294*b + 75*b**5 wrt b?\nAnswer: 1500*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5925.6 + 5926. Which is the fifth smallest value? (a) 0 (b) 5 (c) l (d) 1 (e) -0.045\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 10*s**2 - 3. Let x be h(10). Let i be ((-1)\/x)\/((-8)\/3). Put -2, i, 1\/2 in ascending order.\nAnswer: -2, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 1 = -2*t, 0 = d + t + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i**3 + 27*i**3 - 111*i**3 - 139*i**3.\nAnswer: -241*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from vzzkk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + h. Let o be 16\/10 + 9\/(-15). Let g be b(o). Let c = g - -3. Solve -3*m = 2*l - 19, c*m - 4*l - l = -16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 368096 and 64.\nAnswer: 736192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 14*m + 16. Let p be d(-13). Which is greater: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/4))**(1\/2)\/(o\/o**(2\/5))**(23\/2) assuming o is positive.\nAnswer: o**(-251\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24822 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 1967 = -48*g + 1023 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*d + 25, -3*z + 0*z + 3*d - 30 = 0. What is the tens digit of -2 + 73*(-5)\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1. Let w(b) = 55*b**2 - 113*b**2 + 59*b**2 + 25*b. Let z be w(-25). Sort z, x, -2, 5 in decreasing order.\nAnswer: 5, z, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w + d = 206157, 2*d = -5*w + 257697. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11039 and 266.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 13 + 16 = 3*k, -3*k + 3*x + 27 = 0. What is the remainder when 42 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v + 1 - v + 0*v. Let k = 3 - 7. Suppose 5*n + 2*o - 117 = -128, -o = -4*n - 1. Let j(q) = -q. Give k*j(z) + n*x(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**3\/2 + j**2 + 18*j. What is the remainder when d(9) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 7 + 4 + 4 + 3 - g**2. Let x be v(-3). Let y be 6\/x + 16\/8. Which is the closest to y? (a) -2\/9 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 537*w**3 + 174*w**2 - 139*w + 417286068 with respect to w.\nAnswer: 1611*w**2 + 348*w - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7085 and 72605.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f + 64 = 0. Let q be f\/(-60) + (-2)\/(-5). Suppose -5*i = 101 - 96. Which is the nearest to -1\/4? (a) i (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**4\/12 + 14*q**3\/3 + 98*q**2 + 11*q + 4. Determine a so that y(a) = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -25, -6, 21, 56, 99?\n\"Answer: 4*y**2 - y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9404, -18807, -28210, -37613, -47016?\n\"Answer: -9403*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*f - 126, -3*f - 3*s + 63 + 18 = 0. Calculate the highest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 1. Let l be u(-2). Suppose -3*v = -2*c - 15 + l, -4*v + 11 = -c. Sort -7, c, 3.\nAnswer: -7, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216)*1)\/sqrt(6) - (sqrt(360) + sqrt(360)*2)\/sqrt(10))\/(-3*sqrt(12)*-3*3))**2.\nAnswer: 4\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103540 rounded to the nearest one hundred?\nAnswer: 103500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-50)\/(-18) - (-4)\/18. Suppose -4 = -h*p - 31. Let s = 9 + p. Does s = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-361 - -303) + 30 + 7 - (1 + -106)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 141223679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 z when four letters picked without replacement from cccccccccczcc.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2861\/18 + 1426\/9. Let v = 1.5 - 1. Let f be 1\/(-6)*(-1)\/1. What is the third smallest value in m, f, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q. Suppose 2 = 3*p + 2*f, -4*p + f + 4*f + 18 = q. Let j be (0 + p)*(-35)\/(-2). What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -33*a**2. Let j(f) = 3*f**2. Determine w(j(t)).\nAnswer: -297*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/58? (a) -1 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4356?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*a + 26, a - 3 = w - 2*w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 561789085 take away -2?\nAnswer: 561789087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 195 + -149. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8212262*y**4 - 1158*y**2 - 1409*y - 2 wrt y.\nAnswer: -197094288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9278\/32)\/((-25)\/(-100))*4.\nAnswer: 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -50. Let t = o - 15.99929. What is t rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 144, 213, 284?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 18 = 2*o - g, 0 = -5*g + 20. Let d be (-7 - o)\/(3\/6). Calculate the common denominator of (75\/(-8))\/((-7)\/d) and 65\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (-6 - (-1 + -2)). Suppose -3*h + 55 = u, m*h + 151 = 3*u + 4*h. Calculate the highest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 - -76 - (-7 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-11)*a)**(-35) assuming a is positive.\nAnswer: a**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-74)\/44 + (-2)\/(-11)). Let s be 3*(-1 - f\/(-2))*-2. Is (16\/6)\/(-3*s\/189) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 402 - 399. Factor 164*a + 38*a + 106*a + a**z + 132*a - 43*a**2 + 484.\nAnswer: (a - 22)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/(-3)*(-21)\/(-24) and 81\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-5) - 640444\/(-70) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 16, -30, -1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 883708 times -11?\nAnswer: -9720788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -14*m - 71. Let l be r(12). Let d = 4288 + l. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 291*(20\/(-12))\/5. Let m = -54 - w. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-697*t**2 - 2358 + 2358)*(-1 + 1 - 2*t**2).\nAnswer: 1394*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10065)\/(-36234))\/((-25)\/(-3)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*g + 7*o - 4*o, -3*g = -5*o + 8. Solve 24 = 4*a - 4*s, -a + g*s + 14 = s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -28 - (-1 + 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 2*w**4 + 5*w**3 + 15*w**3 + 20*w**3 - 20*w**3 - 9*w**4 + (-w**3 + w**3 - w**3)*(3*w + 0*w - 4*w).\nAnswer: -7*w**4 + 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 44. Let g be (p - 170)\/(4\/(-10)). Suppose -9*d + g = -4*d. Calculate the remainder when d is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1153232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-12 + -7 - -14 - (0 - 0)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 0)*(3 - 2). Let g be 15\/10 - (-19)\/m. Let w(a) = -5*a**2 - 6*a + 10. Let r(c) = c**2 + c - 2. Let i(k) = g*r(k) + 2*w(k). Factor i(o).\nAnswer: (o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6ba5 - -5?\nAnswer: -6ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-10))\/(((-1)\/(-20))\/((-1008)\/(-2688)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 71.4?\nAnswer: 71.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21141 (base 5) in base 16?\nAnswer: -58d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000041648 rounded to seven decimal places?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + a?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6447450*r**4 - 34*r**3 + 234*r**2 + 77*r - 1292?\nAnswer: 154738800*r - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**5\/4 + m**4\/3 - 3*m. Find the third derivative of j(v) wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from fqtqx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2033371 rounded to three dps?\nAnswer: 0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/(x*x*x**(2\/31)*x*x)*x))**(2\/9)\/(x**16*x**4))**(5\/12) assuming x is positive.\nAnswer: x**(-6815\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 19. What is the second derivative of -2*j**3 + f*j - 4*j + 5*j + 0*j**3 wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 391*n**4 - 1160009*n**3 - 6020 + 1160009*n**3 - 5*n - 3*n**2 + 5*n wrt n.\nAnswer: 1564*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 - -56. Solve c = -3*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 16*z**3 + 5*z**2 + 8*z + 5. Let q(b) = 15*b**3 + 4*b**2 + 9*b + 4. Let r(k) = -4*p(k) + 5*q(k). What is the second derivative of r(w) wrt w?\nAnswer: 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2020222110001 + -11?\nAnswer: -2020222110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 363070692651003 + 0.3?\nAnswer: 363070692651003.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2*x - 16 = 0. Let f(a) = 2*a**3 + 5*a + 2. Let d(k) be the first derivative of 3*k**4\/4 + 3*k**2 + 2*k + 21. What is x*d(w) + 5*f(w)?\nAnswer: -2*w**3 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + d = -7, 4*d + 1 = -3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - (-1438)\/3)\/(11\/33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 0)*(152*u**3 + 1440*u**4 - 1442*u**4 + 44*u**3) to a*u**4 + w*u + f + p*u**3 + j*u**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 2317?\nAnswer: -2328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1030)\/(-15) - (-16)\/12. Let w(g) = -11*g - 1 + 20*g - m*g. Let t(q) = 2*q. Calculate t(w(o)).\nAnswer: -122*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-396)\/990)\/((-5)\/(-10))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 996 + -4*(-2)\/(-4). Suppose -503 + 3378 = -5*b. Let n = o + b. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 98 = -162. Let i(m) = -m**3 - 17*m**2 - 26*m + 62. Let b be i(-15). Let w be j\/143 + b\/11. Solve f + w*f = 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3630*n + 36272. Calculate z(-10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 16, 2*f + 4*m - 6 = 4*f. Let n(q) be the first derivative of -5*q + 19*q**2 + f - 19*q**2 + q**3. What is the first derivative of n(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15186009.\nAnswer: 3, 43, 117721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 5:59 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7245\/8 + 908. Suppose 3*a + 5*m = -36, 37 + 13 = -5*a - 5*m. Calculate the common denominator of 1778\/(-144) + a\/(63\/(-2)) and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13275 and 1913075?\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 140000?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from {a: 3, q: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 4*h)*(-86 - 27 - 239 - 89 - 180).\nAnswer: 2484*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2938, 5867, 8796, 11725, 14654, 17583?\nAnswer: 20512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 + 25. Let s(w) = 3*w. Give s(v(d)).\nAnswer: 9*d**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -105\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/16 (b) -2 (c) -2\/11 (d) -0.5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -230 - -3448\/15. Let t(b) = -b**3 + 5*b - 12. Let u be t(-5). Let a be (-2)\/(-8) - (-66)\/u. Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - -2) + -1 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h + 661 - 505. What is the highest common divisor of h and 354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 90 = 226. Suppose 5*w + 334 = 4*l, 2*l = 3*l + w - q. Is 27 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -287, -218, -99, 70, 289?\n\"Answer: 25*m**2 - 6*m - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 18*v + 1. What are the prime factors of m(3)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f - -60fa?\nAnswer: 609b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-3*sqrt(102))\/(sqrt(42)\/sqrt(175))*-6 + -3)**2 + 2.\nAnswer: 2700*sqrt(17) + 3442511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 19684948 - 25*m**3 + 19684948.\nAnswer: -23*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 2:56 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n + 125. Suppose -n*y + 21*y = -172. What are the prime factors of y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**9\/168 - h**7\/35 - h**5\/30 - 29*h**4\/24 + 12*h**2 - 3. Find the third derivative of s(c) wrt c.\nAnswer: 360*c**3 - 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43027 - -1?\nAnswer: 43028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.214504 minus -530?\nAnswer: 529.785496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -214?\nAnswer: -6.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6491*b**3 + 2913*b**2 + 3 wrt b.\nAnswer: -38946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 146, 11954, -4\/5, -0.22 in ascending order.\nAnswer: -4\/5, -0.22, 146, 11954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1077 + -667.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 54. Let f(k) = 2*k**2 + 3*k + 4*k - 3 - 8*k - 3*k**n. Let a = -4 - -1. Give f(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1.7 (b) 4 (c) -0.1 (d) 1\/5 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1626971*i**2 - 2 - 3253505*i**2 + 1626892*i**2.\nAnswer: 358*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - (sqrt(176) - (-2*sqrt(176)*1 + sqrt(176))))**2 - ((sqrt(11) + 1)*2 - (sqrt(11) - sqrt(99))*5)**2.\nAnswer: -1412 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 20. Suppose -4*b + 398 = -2*c - o, 0 = 3*b + 3*c - 306. Let u(a) = b - 5*a - 102. What is u(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45898861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 11:57 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118 - 71. Let y = 58 - d. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l - 17*l = 20. Suppose 75*j**l + 1215 + 35*j + 20*j**4 - 1210 + 25*j**3 + 40*j**3 = 0. What is j?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-84)*378\/738?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1111, 2145, 3175, 4201?\nAnswer: 5223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 101 = -66. Let g(y) = -y**3 + 5*y**2 + 17*y - 4. What is the tens digit of g(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 4*g**2 + 2*g. Let t(y) = -2*y**3 - 5*y**2 - 3*y. Give -3*j(c) - 2*t(c).\nAnswer: c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1430 (base 8) in base 15?\nAnswer: -37c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**2 + 16*r - 160. Determine q(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3\/3 - 92*b**2\/3 - 196*b\/3 - 100\/3.\nAnswer: 4*(b - 25)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1034 + -738. Let j = 176 - p. Round j to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(8\/3))**(-6\/7))**(-46) assuming n is positive.\nAnswer: n**(736\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -4. Let g be 17 + 2\/y*-3. What is the second derivative of -10*b + g + 2*b + 12*b**4 - 18 wrt b?\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 1, -13, -33, -59?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2758594 is divided by 14074?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 2 (c) -5 (d) 7 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(8) + 1 + 1*sqrt(72)))**2.\nAnswer: 192*sqrt(2) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -8765, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**8\/84 - q**5\/6 + 2*q**2 - q. Let l(p) be the first derivative of t(p). Find the third derivative of l(g) wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/sqrt(10)*-6)\/sqrt(8) + 3 + sqrt(5) + 3*sqrt(5)*-2.\nAnswer: -11*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*g**3*j*p**3 - 3*g**3*j*p**2 - 2*g**3*p - 511*g**2*j*p**3 + 7682*p**2 wrt p?\nAnswer: 198*g**3*j - 3066*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - 0)\/((-1)\/(-3)). Let q = x - 13. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -182378 + 3?\nAnswer: -182375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/3 - (-10)\/(-15). Suppose 3*s - s - l = 0. Let u(a) = 2*a - s + 4. Let w(q) = -q. Determine w(u(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*d - 15 = -5*x, 5*x = d - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 42171.44?\nAnswer: 843428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(((sqrt(19) + sqrt(76)\/sqrt(4))*5 - -2*sqrt(1539))**2 - ((sqrt(2299) - sqrt(2299)*1) + -2)**2).\nAnswer: -59571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211208, 211122, 211036, 210950, 210864?\nAnswer: 210778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 14. What is the least common multiple of 7\/((18\/(-4))\/(-9)) and k(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-6 + 3))*1\/4. Let z = -32 + 36. Let y = -3 + 8. Put y, c, z, -3 in increasing order.\nAnswer: -3, c, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2632*i**2 - 2107*i**2 - 1486*i**2 + 815*i**2.\nAnswer: -5410*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -31*o - 261. Let f be d(-9). Suppose 0 = f*k + 25 - 25. Suppose 2*m + 0*m - 10 = 0. Solve k = m*l - 13 - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 4*p - 3*p. Suppose p = 7*r + 11. Solve a + f = 2*f + 8, 4*a - 2*f = r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -418, -28, -61, 0, -5, 2, -2 in decreasing order.\nAnswer: 2, 0, -2, -5, -28, -61, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10384 is divided by 3362.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 4 + 0*w**3 - 5*w**2 - w + w**3 + 5*w. Let i be (2 + -1)*2 - -2. What are the prime factors of p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:02 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -92. Suppose 0 = 66*b - 891 - 33. Calculate the remainder when x is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*c + w, -w - 5 + 4 = -2*c. Suppose c = 3*h - 2*g - 50, -5*g + 3*g + 78 = 5*h. What is the smallest common multiple of h and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -143*k + 11. Let w(f) = -f. Give w(g(a)).\nAnswer: 143*a - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 275 - 151. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*x**4 + 16*x**4 + 12*x**4 + 4*x**2 wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) 14 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 268?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkd when three letters picked without replacement from {j: 1, d: 2, k: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37774986.\nAnswer: 2, 3, 17, 59, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**3 + y**2 - y + 1. Let s be q(1). Suppose 3*v = -5*o + 99, 0 = s*o - 4*o. What is the greatest common factor of 66 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 689779 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 2:59 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30481 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**3 - 14*x**2 - 19*x + 14. Let m be 6 - 1 - (35 - 5)\/3. Let y be v(m). Which is bigger: 260 or y?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Let z be 5*(7 - (7 - 1)). What is the derivative of -5 + l - 2 + z - 7*u wrt u?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 0, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 7) to base 13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 3*k + 3 - 5 + 4*k. Let z be p(-5). Sort z, -3, 5 in descending order.\nAnswer: 5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13168, -26335, -39502?\n\"Answer: -13167*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486*q - 6696 = 474*q. Is q a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -596*1\/(-11) - 4\/22. Suppose 13*z = 7*z + v. Calculate the highest common divisor of z and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w + 3 + 1 + w**2 - 4*w. Let q(o) = -37*o - 1 + 18*o + 18*o. Suppose -d + 6 = -3*a, 14*a + 2*d = 11*a + 3. What is a*f(k) - 4*q(k)?\nAnswer: -k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 283*l**2 - 38*l - 302. Let t be s(-6). What is the highest common factor of t and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -8. Let r(m) = 3*m - 4. Let b be r(c). Calculate the greatest common factor of b and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 350\/(-280)*32\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*t + 3*f + 68, 0 = -4*t + 3*f + 63. Calculate the remainder when t is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -170734965066\/3289 + 51910903. Let r = 349 - 88300\/253. Let s = v - r. Which is greater: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1126 + -9.7826. Let i = -1.67 - f. What is the smallest value in i, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-25))\/(10\/25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 16 = -3*t + 13, 80 = 4*t - 17*g. Solve t*d = 3*b + 15, 3*d - 15 = 3*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8023491 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 7 + 0)*(5*z + 0*z - 3*z) + 2058 - 87*z - 2058 to the form u + m*z and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -235 + 250. Let f(q) be the first derivative of q**3\/3 + 3*q**2 - 5*q + 12. Calculate the remainder when f(5) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 603882583 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**9*s\/s**(2\/79))**43 assuming s is positive.\nAnswer: s**(-23865\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b8 + -906a?\nAnswer: -9255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 20, -54, -0.06272?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-3\/7)*r**4)**(-10\/3) assuming r is positive.\nAnswer: r**(-380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 15*w + 18. Let i be v(-16). Let z(d) = -1 + 3*d - i + 0 + 2. Determine z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -192*d**2 - 3*d + 4*d + 4 + 94*d**2 + 99*d**2 to the form m + z*d + t*d**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268136595 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 9*n. Let h(g) = 4*g**2 + 6. Give f(h(y)).\nAnswer: 16*y**4 + 84*y**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -0.52088 (c) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18dd - -1?\nAnswer: -18dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 18 = -3*w + 5, -18 = b + 4*w. Suppose -3*i - b*i - 4055 = 5*o, 5*o + 3245 = -4*i. Round i to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7647259 a prime 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, 2\/9, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 4*j**2 - 3*j - 2. Let s be g(-4). Suppose 3*d + 2*d = -s. Let l be 0\/(0 - 0 - 2). Which is greater: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 - 128017.\nAnswer: -128016.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 84?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/210 and -117\/80.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(190) + 2*sqrt(190) + sqrt(190) + sqrt(190))*5)\/(sqrt(70)\/(sqrt(35)\/sqrt(5))*-6))**2.\nAnswer: 47500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1237*h**2 - 11*h - 125. Let p(c) = 619*c**2 + 6*c + 68. What is -11*p(k) - 6*y(k)?\nAnswer: 613*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48911649*r**2 - 7375000*r + 1?\nAnswer: 97823298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7.6 (b) 7 (c) -3 (d) -5 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 37. Suppose 19*h - 60*h + 15*h = -22*h. What is x(h)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 264 = -3*t. Calculate the common denominator of 1 - (-4)\/(-12) - (-331)\/30 and (-3 - -2) + t\/(-14).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-44)\/(-2002))\/((-4)\/(-14)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b**3 - 28*b**2 + 44*b + 240. What is h(-7)?\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 17*j**3 + 16*j**3 - 9.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6*4\/(-96))\/(-3*(-170)\/(-240))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37*96\/20720*(-6)\/(-9))\/(-1)?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19338*0.2\nAnswer: 3867.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.57 - -1.07. Sort 2\/3, 4\/7, i, -5.\nAnswer: -5, i, 4\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7912 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 37 = -11*b, -4*l - 9 = -5*l + 2*b. Solve 2*w - 20*o = -23*o + 7, 20 = l*w + 5*o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12939 and 2451.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, 1314017 in decreasing order.\nAnswer: 1314017, 1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d - 2. Let u(n) = 10*n - 3. Let h be 79\/(-790) - 62\/(-20). Determine h*u(p) - 4*m(p).\nAnswer: -6*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 24. Let o be ((-12)\/f)\/((-6)\/135). Suppose 0 = -2*m - 6 + o. Solve m + 2 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 101001110?\nAnswer: 101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(3*i**2 + 5*i**2 - 2*i**2).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5\/7 - 32*d**4\/7 - 2298*d**3\/7 - 15832*d**2\/7 + 78592*d\/7 + 92160\/7 = 0.\nAnswer: -16, -1, 4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**2 + 2 - 2 + (2*b + 0 + 0)*(9*b - 19 + 19).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 42. Let f(t) be the second derivative of 1\/45*t**6 - t + 1\/3*t**2 + 1\/3*t**c - 4\/9*t**3 + 0 - 2\/15*t**5. Determine z so that f(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 50001.\nAnswer: -1\/16667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*a**2 + 2016 + 2*a - 2016 + 13*a**2 - 19*a**2.\nAnswer: -77*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -110 times 3.054\nAnswer: -335.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -116 * -281.5.\nAnswer: 32654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -4041989.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 15*s**2 + 13*s + 17. Calculate h(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 154566\/13805 - -10\/2761. Factor 0 - c*x - 4\/5*x**2.\nAnswer: -4*x*(x + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60398441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*n**4 - 80*n**3 - 174*n**2 - 70*n - 8.\nAnswer: 2*(n - 4)*(n + 1)*(4*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3784a (base 12) to base 6.\nAnswer: 1341334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280310 and 250?\nAnswer: 7007750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:55 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3105 (base 8) to base 12\nAnswer: -b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/17))**(-2\/11)*x**(-10\/9)\/(x**27\/x) assuming x is positive.\nAnswer: x**(-45664\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -5 (c) -0.5 (d) 8.4535 (e) 3 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -6 - -21 - (24 + -11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -768a8b (base 13) to base 8\nAnswer: -12510646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -923*k - 163358. Calculate j(-177).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/10 - 306\/(-30). Let y be 1\/v*(-480)\/(-115). Let z = -5023\/1840 + y. Calculate the common denominator of z and 55\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1118 and 90293593.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5052529 times -0.1\nAnswer: 505252.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 718263213, 1436526425, 2154789637?\nAnswer: 2873052849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*z = 206*z + 60. What is the closest to -2\/5 in 21, 1\/3, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 7) + -3 + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1 + sqrt(2))**2 + (sqrt(128)\/sqrt(4))**2)*4 + ((sqrt(242) + sqrt(242) + -2)*6*3)**2.\nAnswer: -28520*sqrt(2) + 315068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 18377*r**2 + 626009*r + 644385.\nAnswer: -(r - 35)*(r + 1)*(r + 18411)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*m + 1\/2*m**3 + 3\/4*m**2 - 3\/4*m**4.\nAnswer: -m*(m - 1)*(m + 1)*(3*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:20 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 66*j + 262. Calculate i(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0 = n - 5, 0 = 4*b - n - 16. Suppose 122 = 3*y - x - x, -5*y + 235 = b*x. Solve 29 = 3*j + y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -306, -298, -244, -120, 98, 434, 912?\n\"Answer: 4*p**3 - p**2 - 17*p - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8353 - -0.2156. Round j to two dps.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34250, -34244, -34240, -34238, -34238, -34240, -34244?\nAnswer: -34250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23409330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/10*3)\/(3\/(-4)). Suppose -f = -z*f + 75. Suppose 0*t + 4*t = 236. What is the remainder when t is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 11:15 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 5*d**6\/3 - 47*d**4\/12 - 50*d. Find the third derivative of l(g) wrt g.\nAnswer: 1200*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 3*j**4\/2 - j**2 + 1. Find the second derivative of l(t) wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - (sqrt(156) - (sqrt(156)*-2 - sqrt(156))))*-4)\/(sqrt(72)\/(sqrt(18)\/sqrt(3))))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2900*u**3 - 2411*u**2 wrt u?\nAnswer: 17400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + y**2 + y - 1. Let r be v(-1). Let o(f) = -8 + f + r*f + 5. Let q be o(8). Which is the third smallest value? (a) 0.2 (b) 4 (c) 0.5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49541*i**4 - 39383*i.\nAnswer: -594492*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4\/9 + 5020*y**3\/9 - 1160458*y**2\/9 - 3546736*y\/9 + 522464 = 0.\nAnswer: -4, 1, 261, 2252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20480\/55537 + 1\/2923. Calculate the common denominator of 93\/16 and u.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zszs when four letters picked without replacement from {z: 5, s: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 225.3333 from 4.\nAnswer: -221.3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322316 - 342224 = -27*n - 151324. What are the prime factors of n?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from agagaaggaa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 24, 16, 4, -12?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.007197*0.045\nAnswer: 0.000323865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26469 + -20275259\/766. Let f = -24313\/1149 + u. Let s = -41951\/4266 + 1\/2133. Calculate the common denominator of s and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a - 865 + 865. Let q(t) = -13*t**2. What is q(j(v))?\nAnswer: -1053*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7809\/13015)\/((-1)\/60).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 1. Let s(j) be the second derivative of -j**3\/6 - 4*j**2 - j. Let i be (-186)\/21 + ((-660)\/70)\/(-11). Let l be s(i). Determine g(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/2)*i**(-2\/5) assuming i is positive.\nAnswer: i**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 365.3 + -365. Which is the biggest value? (a) 0.066 (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p + 45. Let z(v) = 2*v + 17. Let q be z(-16). Let j be m(q). Round j to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2*u + 242*j**2 + 2*j*u**2 + 26*j*u wrt u?\nAnswer: -2*j**2 + 4*j*u + 26*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 99741946 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2551750*a*p - 29031844*a - 2 wrt p.\nAnswer: 2551750*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ana?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*w = 8*w + 23*w - 880. Put -3, -2, -5, w, 10 in increasing order.\nAnswer: -5, -3, -2, 10, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4703*q**2 + 81\/2*q**4 + 121\/2 + 882*q**3 - 1078*q.\nAnswer: (q + 11)**2*(9*q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01715401 rounded to 4 dps?\nAnswer: 0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 7:29 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 10. Suppose s*n = 3 + 5. Suppose 0 = o - n*o + 55. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**4\/24 + b**3\/2 - 5*b**2. Give f(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*q - 6 = 0, 10 = 2*p - 4*p + q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 3\/2, -2\/83, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p**3 + 2*p - 1. Let k = -31 + 34. Let w be (-378)\/k*1\/(-2). Let g be w\/84 + 2\/8. What is q(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 14*t**2 + 9*t - 2. Let x be m(-8). Let u = x - 8249\/10. What is the common denominator of u and -71\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7773\/335 > 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -24*t + 1709. What is the remainder when 94 is divided by a(69)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, -8, 1.37, 15\/8 in increasing order.\nAnswer: -8, 0, 0.2, 1.37, 15\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 0 (b) -15 (c) -3\/5 (d) -0.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 803 - 794. Calculate the remainder when o is divided by 6\/10 - 22\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 + -65. Solve i + m = -4*i + j, 4*i - 10 = 5*m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 = 7. Let b(v) = 14*v - 2*v**2 - 1 - 1120*v**g - 16*v - 350*v**3. Is b(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 9*i**2 - 3*i - 7. Let z = 254 - 245. Suppose -36 = -4*n + 3*d, z*n - 36 = 5*n + 2*d. Give o(n).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -294397 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2279 (b) -0.5 (c) -1 (d) -3 (e) 6 (f) -5 (g) -6\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19467 divided by 10?\nAnswer: -19467\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1780048.\nAnswer: 2, 111253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwj when three letters picked without replacement from qbwqwqjqbjjqjww.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 14*l**2 + 13*l - 8. Let k be m(-15). Suppose 3*c + 48 = 3*z, c + 4*z + k = 2*z. Let g be -84*(c\/7 - 0). Round g to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-18)*(-36)\/(-12))\/((-2)\/30).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -12 and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81110 divided by -1.\nAnswer: -81110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 4, -5, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 126, 269, 420, 543, 602, 561?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from {l: 7, a: 2, q: 4, v: 1, o: 1, e: 2}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 4. Let w be h(4). Suppose 0 = -w*v + v. Let s = -994 - -1987\/2. Which is the closest to -3? (a) v (b) 2\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 8 - 8)*(0*t - t - t).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -62 + (31 - (24 + -1))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -2. Let q be 4\/(-3)*z\/2. Suppose -q*g = -5*g + 99. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Suppose -g - c = 2. Let n be g\/(-14) + 38\/14. Solve 0*q = n*q + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397964193 divided by -3?\nAnswer: -132654731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 14) in base 4?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 7*a - 97980. Suppose -2*f = 3*f - 5*t - a, 3*t = -2*f + 6557. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708*b - 708*b - 7*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -325, -1, 2, 49 in decreasing order.\nAnswer: 49, 2, -1, -5, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - m**2 + m - 1. Let f(z) = -2*z**2 + 2*z - 2. Give 2*f(v) - 4*j(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1494 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 5. Let v(t) be the third derivative of t**4\/6 - 7*t**3\/6 - 4*t**2. Let b(i) = 5*v(i) + 7*x(i). What is the units digit of b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.00352179\nAnswer: -0.01056537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1262584837 to the nearest integer?\nAnswer: 35533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b + 19*b = 20*b + 1080. Calculate the greatest common divisor of b and 135.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 f when four letters picked without replacement from {f: 5, c: 2, d: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 29*v**2 - 6*v + 4. Let g(n) = -29*n**2 + 5*n - 3. Calculate -4*g(t) - 3*l(t).\nAnswer: -3*t**3 + 29*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 3*l - 1. Let x(m) = -m**2 - 8*m. Let y be x(-5). Suppose -3*b = -2*j + 6*j - 9, 5*b = y. Suppose j = -0*i - i - 6. Give s(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 2*p**2 + 4*p - 1. Calculate l(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24187271.\nAnswer: 1223, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-23)\/y*y*y)\/y*y*y**28)\/(y**(-14)\/((y*(y\/(y**(-6\/5)\/y)*y)\/y)\/y)) assuming y is positive.\nAnswer: y**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 - 372*x**4 + 9084*x**3 + 151776*x**2 + 499392*x = 0 for x.\nAnswer: -6, 0, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 2, -3\/4, 3, 0.2 in increasing order.\nAnswer: -3\/4, 0.2, 2, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5368 divided by -488\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 44*l**2 + 44*l + 1. Determine i(-43).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -18 + 9 - 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2522034, 5, 2\/11, 1?\nAnswer: 2522034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1658.\nAnswer: -1\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1778 + 271*p**2 - 1778 - 74*p**2 to l + a*p + z*p**2 and give z.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3827\/17 + 225. Let c = 0.04 - -2.96. What is the third smallest value in c, 1\/7, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 2. Let k be u(5). Suppose 93 = 2*m + k. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62529130 is divided by 284.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*(sqrt(200) + sqrt(200)*-2))\/(3*(sqrt(160)\/sqrt(4))\/sqrt(4)).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 115 = -0*u. Let r be -6*(-3)\/6*(-4 + u). Suppose -5*y = 2*p - 23, 3*y - 71 = -4*p - 4. Calculate the greatest common factor of r and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from wbfbbvl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/6 + 71*a**3\/6 - 1321*a**2\/6 + 1467*a\/2 - 525 = 0.\nAnswer: 1, 3, 25, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 12 + 7 + 38 + -24?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1388020 is divided by 177?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8016011, 8016020, 8016033, 8016050, 8016071, 8016096, 8016125?\nAnswer: 8016158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 4, h: 2, d: 12}. Give prob of picking 2 h.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122 and 4.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(-13 + 1122\/90)\/(4\/10). Solve -24 = 20*z - n*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -73.91.\nAnswer: 14.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 0.3 (c) -0.14 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 21 - 171. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50698595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8885, 0.2, -0.2?\nAnswer: 3\/8885","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 + 3*o**2\/5.\nAnswer: -o**2*(o - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n + 10. What is u(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65.13860054 + -65.1506. Let j = c - -0.012. What is j rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -535 divided by 7616?\nAnswer: -535\/7616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4946 = -207*n + 392 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10*(2 + 3\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12984 = -6*j + 12876 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 26*x + 61. Let q be f(-28). Suppose 3*w + 1 = -5*s + 8, 0 = -5*s - w + 9. Solve y = 2*y - l + 1, -q*y - 11 = -s*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21772 and 0.469.\nAnswer: -10211.068","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 9031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-306) + ((-88)\/9 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2088 + 14613\/7. What is the closest to -0.2 in o, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -k - 2*y, -4*k - 36 - 28 = -4*y. Let u = -5 - k. Calculate the greatest common divisor of u and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41429.65 + 42296. What is h rounded to the nearest ten?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2243 + -2006. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253*v**2 + 0*v + 3*v - 257*v**2 to the form w + a*v**2 + x*v and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 4*t - 4. What is u(5)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17242016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212819.\nAnswer: 19, 23, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110921 - 110920.669948. Let l = 0.33 - q. What is l rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 13. Let f(k) = -k**3 + 12*k**2 + 17*k - 37. Let w be f(t). Solve -1 = 4*o + w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 800*t + 9909. Give z(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 9. Let z(u) = -3*u - 15. Let m be z(j). Suppose m*n + n + 9239985 = 3*h, 4*h + 2310020 = -n. Round n to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:34 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) 73 (c) 1\/4 (d) 15096\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -90, 2\/3, -63\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245218 is divided by 433?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 282 + -279. Let w = 103 + 45. Suppose n*m = -4 + w. What is the highest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*q + 8682, 0 = 4*a + a + 5. Let m = 15079\/7 - q. Let p = m + 298\/21. What is the third smallest value in 5, -0.1, -2\/7, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 + 0. Let b = v - -2.1. What is the closest to b in -0.3, 1\/6, 1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + u - u + (3*u + 0*u - u)*(4*u - 4*u - u) + (13 - 13 - 6*u)*(2*u - 1 + 1) + u**2 - 5*u**2 + u**2)*(3 - 2 + 5)*(-1 + 1 - 3)*(2*u + 2 - 2).\nAnswer: 576*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 + 14*g**2 + 5*g**2.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -336 - -86. Find the common denominator of 24\/(-42) - h\/(-1008) and -131\/42.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 24779 = -4*b - 6494, 0 = -2*t + 3*b + 12505. List the prime factors of t.\nAnswer: 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -258*q - 1083 + 1083 as w*q + t and give w.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1270\/225 - 6) + 4\/18?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -24. Which is the closest to -0.2? (a) -2 (b) -1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 417 - 2*u**2 + 118 + 3*u**2 - 3*u**3 - 258.\nAnswer: -3*u**3 + u**2 - 515","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -2) + 16901 + (-1 - 0). Round l to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*t = 164*t + 583 + 480 + 107 for t.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.03 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124 - -203. Suppose 0 = -4*b + 5*b - a. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28 + 0\/(1 + -2). Suppose 3*t + 26 + x = 5*g, 3*g + t - 24 = 0. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11229399655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10255879\/148 + -69297. Calculate the common denominator of i and -95\/44.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -387096*k**4 - 648527*k**2 wrt k.\nAnswer: -9290304*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a - 10. Let z(i) = -i**3 - 27*i**2 - 4*i - 112. Let w be z(-27). Let m(y) = 2*y - 3. Calculate w*j(t) + 14*m(t).\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*h + 265*h - 128*h - 463.\nAnswer: 4*h - 463","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -146.6 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1416 divided by -11?\nAnswer: 1416\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttttrttpttttptpttq. Give prob of sequence tt.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*w + 7 - 232 = 0, i - 3*w + 33 = 0. Suppose 5*h - 430 = 5*a, -4*a + 3*a = 2*h - 184. Let u = h + i. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**25\/k)\/k)\/k)\/k*k*k**20*k assuming k is positive.\nAnswer: k**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/75)\/((-2)\/(-50)). Suppose -5*s + k*s = 765. What is the highest common factor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 4*s**4 + 48*s**3 - 47*s**3 + 4 + s**2 - 2 + 5*s**4 as c + w*s**3 + i*s**2 + k*s**4 + n*s and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1\/6 (b) 8\/7 (c) -3 (d) -45\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) + sqrt(576)*2)*-2)\/((sqrt(75) - (sqrt(75)*-1 + sqrt(75) - sqrt(75))) + sqrt(132)\/sqrt(11)).\nAnswer: -17*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-15))**(1\/23)\/((a*a*a**(1\/26)\/a*a*a*a)\/(a**(-28)\/a)))**(2\/99) assuming a is positive.\nAnswer: a**(-20147\/29601)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-318*b**2 + 1247*b**2 + 385*b**2)*(2 - 2*b - 2)*(1 - b - 1).\nAnswer: 2628*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 5:10 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1648\/24207 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8\/(-28) - ((-180)\/21)\/2 and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 + 145 = 37*f + 152 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*r + 16, -6*c = -c - 4*r - 4. Let a be (-8)\/20 - (-27)\/(-45). Calculate the remainder when 65 is divided by a\/c - 207\/(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {c: 4, v: 1, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76243, 76655, 77067, 77479, 77891, 78303?\nAnswer: 78715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*h*x**2 + 3597*h + 119046*x**2 + 3902*x wrt x.\nAnswer: 408*h + 238092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 173606007977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 2*k - 6. Let r be v(7). Suppose -48 = -3*b + r. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402997742.\nAnswer: 2, 7, 28785553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*i + 25 = 0, -5*i - 15 = -34*f + 31*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 367 + -635. Let l = -205 + 592. Let h = l + d. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1154474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 210552602 (base 7) to base 5\nAnswer: 11141401132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 3 (c) 566 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 714, 726, 748, 786, 846, 934, 1056?\n\"Answer: v**3 - v**2 + 8*v + 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 3:11 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6933 - 33*a**3 - 15941 + 22874.\nAnswer: -33*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) - (3 + 90\/(-12)). Suppose 0 = -s*m + 6*m + 1. Let g be m + 3 + 24\/(-11). Sort -4, 1, -0.9, g in descending order.\nAnswer: 1, g, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-61)\/(-2) + (-24)\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**7\/630 + v**6\/90 + v**4\/6 - 2*v**2. Let i(c) be the second derivative of k(c). Factor i(h).\nAnswer: -4*h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247715247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/25 + (-6)\/(-10). Let y(o) = -2*o - 1. Let f be y(q). Put f, -4, 4 in descending order.\nAnswer: 4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 - 63 = -2*c. Suppose -3*m = -5*j + 142, j = -2*j - 5*m + 58. What is the remainder when c is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3236310603 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 54 (b) 2 (c) 77.5 (d) -1 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4301 * 0.208.\nAnswer: -894.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 54\/(-66) - 5*3\/15.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 218. Let u(z) = -36472*z. Calculate j(u(w)).\nAnswer: 36472*w + 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -3515835?\nAnswer: -10547505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-23))**(-28) assuming i is positive.\nAnswer: i**616","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23448 + 23448. Is 37\/236 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/618865236 and -97\/56260476.\nAnswer: 618865236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -1223*p**6\/60 + p**4\/2 - 26*p**3\/3 - 2250*p**2. What is the second derivative of d(c) wrt c?\nAnswer: -14676*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 11*g - 20, -5*u + 5*g + 58560 = 0. Suppose -47*c + u = -12630. List the prime factors of c.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 415914.3 and 1.06.\nAnswer: 440869.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2 + 3186*b - 3187 = 0.\nAnswer: -3187, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-3\/7))**(-50)*f**(-19)\/(f\/(f**(-3)\/f)) assuming f is positive.\nAnswer: f**(-368\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2\/9, 3\/2, -3, -21271 in ascending order.\nAnswer: -21271, -3, 2\/9, 1\/2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 12:44 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -13. Let q = t + 0. Let a = 0.01292 + -0.01292. What is the nearest to -0.1 in a, q, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t - 5*t - t**4 + 11*t - 6*t wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*k**2*q - 3*k**2 - 9*k*q - 2*k + q + 3367 wrt k.\nAnswer: 12*k*q - 6*k - 9*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 231130?\nAnswer: -231134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.76*174725.\nAnswer: -307516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 3:47 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.389 and -4.1.\nAnswer: 9.7949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000294585 rounded to seven dps?\nAnswer: 0.0000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7036, -14074, -21112, -28150?\nAnswer: -35188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/341598 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5360 and 612112?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h + 4*u - 8, -4*u - 16 = -h. Suppose -44 = -3*t + 4*b, -2*b + h = 3*t + 2*b. Solve -3*q = -t*q - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 78.91, 2\/17, 1\/4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 186883491.\nAnswer: -5\/186883491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*i + 71 = -94, z = 4*i + 125. What is the greatest common factor of 58 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38713100 rounded to the nearest 100000?\nAnswer: -38700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -15*d + 1. Let i be z(-5). Let p = 124 - i. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 4*y + 3. Let i be b(5). Let x = 1395\/2 - 654. Calculate the common denominator of x and (i + -2)\/8 - -28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21259 + 39964 = 645*j for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 12*x - 10. Let u = 40 - 47. Calculate k(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s**2 + 2*s + 1. Let u(n) = -10*n**2 + 3*n + 1. Determine -3*q(v) + 2*u(v).\nAnswer: 7*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6180, 12375, 18570, 24765, 30960, 37155?\nAnswer: 43350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2104*0.12382\nAnswer: -260.51728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1424*k**3 - 1424*k**3 - 5*k**4 + (4*k - k**2 - 4*k)*(2*k**2 + k**2 + 0*k**2).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**4\/6 + 11*c. Let n(v) = -4*v + 32. Let p(l) = 1. Let w(z) = -5*n(z) + 160*p(z). Calculate a(w(q)).\nAnswer: 800*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5166 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1514 and 4.\nAnswer: -1510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3 = 17. Let t(p) = -3*p**3 - 4*p + 19. Let b(k) = -2*k**3 - 4*k + 20. Let v(h) = m*t(h) + 5*b(h). Find the first derivative of v(s) wrt s.\nAnswer: 6*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - u = 3, 0 = -3*s - 4*u + 6*u + 6. Suppose s = 4*l - l. Suppose -4*o - 4*f = -l*o + 639980, 4*f = 5*o + 800020. Round o to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 53848, 215902, 485994, 864124, 1350292?\n\"Answer: 54019*c**2 - 3*c - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170131.\nAnswer: 1170131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 44. Solve y + 2*y - 3 = s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 - 12*v**3.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 5255 - 2295 = 0. Let d = 825 - i. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1260066766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/96 and -109\/1440.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - 1.8. Let l = -7935 + 7935.1. What is the closest to 2 in l, 0.23, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 z when three letters picked without replacement from {q: 1, p: 5, h: 1, a: 6, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 2*t**2 + t - 5. Let y(d) = 234*d**2 - 386*d - 206. Let s(w) = 28*b(w) - 2*y(w). What is g in s(g) = 0?\nAnswer: -2\/7, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -852.55 and 10.\nAnswer: -8525.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.305 * -0.22.\nAnswer: -3.5871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 2 + 2)*(-w**3 + 0*w + 0*w).\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 640 and 160?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 577*m. Let r(v) = -4*v**2 - 14. What is q(r(x))?\nAnswer: -2308*x**2 - 8078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27021676 to the nearest integer?\nAnswer: 5198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -3 + (-56 + 41 - (2 + -1) - -16)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -53*a + 68. Give u(6).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7113 + 39?\nAnswer: -70c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 6) to base 9\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5\/4, -469, 4, -9, -56, 0.1 in decreasing order.\nAnswer: 4, 3, 0.1, -5\/4, -9, -56, -469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*n - 650 + 245 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -0.0427.\nAnswer: -2.0427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -0.18722367.\nAnswer: -0.08722367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4248 is divided by 381?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*o**5*t + 7549*o**2*t - o**2 - 2*o*t + 4*o - 143616 wrt o.\nAnswer: -380*o**3*t + 15098*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2031*r + 1039*r - 74 = -1029*r. Let 18 - 9\/2*p**r + 24*p = 0. Calculate p.\nAnswer: -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttg when three letters picked without replacement from {g: 2, t: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2. Let i(p) = p**2 - 3*p + 1. Let b(u) = 51*u**2 - 54*u + 18. Let k(z) = -b(z) + 18*i(z). Calculate k(s(r)).\nAnswer: -297*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 335\/2 + -120. Calculate the common denominator of k and -37\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = g - 6*g + 140, -2*g + 50 = 4*d. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -10. Suppose 4*f = k - 0 + 2, 5*f - s = 0. What is the least common multiple of k and 1\/3*(28 + -58)*8\/(-40)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 3*u - 7. Let s be v(5). Let f be (s - -3)*10\/(-15). Solve -20*b**2 + f*b**5 - 12*b**3 + 20*b**4 - 10*b**5 - 5*b + b = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 569, 873, 1175, 1475, 1773?\nAnswer: 2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 - 13. Let f(k) = k**3 + k**2 + k + 2. Let m be f(-2). What is the units digit of l(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 56, 3.\nAnswer: 1, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 61.375. Let t = -0.3749701 + h. What is t rounded to six dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -41*h - 3127. Calculate i(-76).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 70987670 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/3, 158\/195, 1.1, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z. Let n(w) = -20*w**2 - 18*w. Let d(t) = t**2 + t. Let v(m) = 36*d(m) + 2*n(m). Determine v(y(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/3 - (-356)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -533*z**2 - 189746*z + 724. Give a(-356).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25076, 25063, 25026, 24953, 24832, 24651, 24398?\n\"Answer: -2*s**3 + s + 25077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -659, -1022, -1209, -1130, -695, 186?\nAnswer: 1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 14*m - 3*m - 6*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (1422\/12)\/(-6*(-5)\/2740) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + 30 + 8 - 30 + 4*g**3 to h + l*g**2 + i*g**3 + n*g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -337139152413 and -5.\nAnswer: -337139152418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0.5 (b) 5 (c) 96091\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - -1)*12\/15. Suppose j + b*j - 65 = 0. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/14)\/(((-75)\/21)\/5). Let u = 0.8 + 3.2. What is the smallest value in u, f, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22191 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.028 - -982678\nAnswer: 982677.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 14. Let x = 35 - o. What is the smallest common multiple of x and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 295 and 354.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -27 - 10 - (1 + 14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 133, -4\/3.\nAnswer: -3, -4\/3, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.6 (b) 3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) -8 (c) 0.2 (d) 31 (e) 7 (f) 2\/21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -394, -1, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*c + 24 = -142*c. Let j be (297\/18)\/(-2 + 4 + c). Let m(t) = t**2 - 6*t - 2. Let q be m(6). Are q and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -12. Suppose 0*s + p*s = -4. Suppose -5*i + 0*i - 5 = 0. Which is the nearest to s? (a) -0.5 (b) i (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208845 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56212 and 13058.\nAnswer: 367008148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4156*r**2 - 384*r**2 - 200*r**2 + 167*r**2 + (-2*r - 4*r + 5*r)*(-3 + 3 + 2*r).\nAnswer: 3737*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -7*p + 11. Suppose k - 3 = 4*z, p*z - 4*k - 5 = -k. Sort z, 1, -1 in increasing order.\nAnswer: z, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -959 - -3839\/4. Which is greater: g or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2784.26 millilitres to litres.\nAnswer: 2.78426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49912 + -49911.8. Let o = 4 + -4.2. Let a = -0.2 - o. Sort m, a, 2, -2\/17 in increasing order.\nAnswer: -2\/17, a, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -510*g + 281*g + 342*g as r*g + t and give r.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 51*l**2 - 49*l + 144. Calculate b(-52).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.5 (c) 4 (d) 1\/64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85\/18, -12, -15864.\nAnswer: -15864, -12, -85\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2178 - 2177.9418. Round a to 3 decimal places.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-430)\/20)\/((-65)\/(-26)))\/(2\/30). Which is smaller: y or -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -294.2 - -294.3. Let m be ((-5)\/(-5))\/(4\/6 - 2). Which is the closest to q? (a) -2 (b) m (c) 1 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 353476 to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13551117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/1)\/((-1)\/(6 - 5)). Let z be (p + -24903)\/((-15)\/200). What is z rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 + 157768*b + 9334028184.\nAnswer: 2*(b + 118326)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12 + (6\/15)\/((-3)\/30). Solve -y*d - 2 = -6*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14853 + -326855\/22. What is the common denominator of k and -61\/4742?\nAnswer: 52162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/15*(-30)\/(-18). Which is the third smallest value? (a) 0 (b) h (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -419, -643, -883, -1145, -1435?\nAnswer: -1759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-160)\/(-25) - 6)*(0 - -275). What is the highest common factor of x and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 4, -3 in ascending order.\nAnswer: -3, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 11087590*w - 11087595.\nAnswer: 5*(w - 2217519)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -5 - 13. Let i(r) = -r**3 + 3*r**2 + r - 1. Let t be i(z). Find the first derivative of -10 + 2*a**t + a**2 + 14 wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 277661*w**3 + 1370459*w.\nAnswer: 1665966*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**5\/4 + 9*q**4\/4 + 141*q**3\/4 + 207*q**2\/4 - 69*q\/2 - 54 = 0.\nAnswer: -4, -2, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7309 + 7310.6. Sort t, -1\/4, 92, 0.4 in descending order.\nAnswer: 92, t, 0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2715003?\nAnswer: 3, 59, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12392 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668 - 663 = s, 6*h + 33 = -2*h + 5*s + 32 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 146 + 0*a**2 - 3*a**2.\nAnswer: -3*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (-6*-1*sqrt(112) + sqrt(112))**2*1 + (6*(sqrt(112) + -1) - ((sqrt(112) - (-1 + sqrt(112) - sqrt(112))) + -5))**2*-3).\nAnswer: -1200*sqrt(7) + 14630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/9 (b) -103 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**2 - 269547390*z - 269547385 = 0.\nAnswer: -53909477, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9*35\/(-42)*16\/6. Let i be (36\/(-72))\/(2\/d). Let q(m) = -5*m + 3. Let b(v) = 4*v - 2. Calculate i*q(g) - 6*b(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**4 + z**4 - 9*z**5 - 4*z - 10*z - 6*z + 5*z wrt z?\nAnswer: -180*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1682 = 9527*j - 9498*j for j.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, 0.3, -2.\nAnswer: -2, 0.3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -249*p**3 - 3*p**2 - 6*p + 5. Let m(w) = -250*w**3 - 2*w**2 - 5*w + 4. Suppose 3*t + 2*t - 10 = 0. Let k(o) = t*f(o) - 3*m(o). Is k(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-2 + 2 - 0). Let c(k) = -9*k**2 - 5*k - 2. Let x be c(u). Round x to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14551 (base 7) in base 6?\nAnswer: -30434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*p**4 - p**3 - 172 wrt p.\nAnswer: 92*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from {t: 1, d: 1, j: 1, v: 1, f: 1, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 354759594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 4*v - 7*v)*(v**2 - 7*v**2 + 2*v**2) + 2*v**2 - v**3 - 2*v**2 + v**3 - 2*v**3 - 2*v**3 + (0 + 2*v**2 + 0)*(-44*v + 2*v - 158*v).\nAnswer: -396*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 447899838 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1089 = 4*g + x, -3*x = -27*g + 28*g - 275. What is the highest common divisor of 48 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/30 and -86\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 200 - 191. Solve 3*b + 3*n - g = b, 2*b + 2*n - 4 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-15) + (-7)\/6. Which is the nearest to l? (a) -2 (b) -0.3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 12*f + 2. Let z be m(-12). Let c(a) = 9*a**2 - 4 - a - a**3 + 13*a**z - 40*a**2 + 14*a**2. Determine c(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 65\/(-60) + (-1)\/4*-3. What is the nearest to 1 in -2, o, 1\/3, -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-15)*k\/k**(-1\/8))\/(k\/(k\/k**(-3\/7)))**(1\/32) assuming k is positive.\nAnswer: k**(-3105\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22 + 27)*-4)\/((-16)\/(-20)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-8))\/((-42)\/56).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 251 + -120. Suppose 5*b + 3*i = i + k, 0 = 5*i - 15. Let a(r) = r**3 - 25*r**2 + 2*r - 49. Let f be a(b). Is 60 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/6))\/o)**14\/(o**(-5))**14)**14 assuming o is positive.\nAnswer: o**(3038\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -439, -1021, -1761, -2653, -3691?\nAnswer: -4869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1435 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 13. Suppose -5*v - 12 = -2*g, -4*v + 4*g - 20 = 5*g. What is h(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830580 to the power of 1\/2, to the nearest integer?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/7 - 659808*w - 4618652\/7.\nAnswer: -4*(w + 1)*(w + 1154663)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/10 - (-3)\/(-15)*-334. Suppose 56 = -65*j + x*j. What is the greatest common factor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 5:22 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-65)\/10)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v - 17*v + 9*n + 2 = 0, 0 = 2*n + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - (-25 - 11) - (2 + 86 + 3)) + -7\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 53*q - 178. Let u be p(7). Let g = u - 179. Calculate the remainder when 65 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(95) - (sqrt(95) + sqrt(95)*-2*3) - sqrt(95)))\/(sqrt(20)\/sqrt(4)*-1 - (sqrt(5) - -1*sqrt(15)\/sqrt(3)))*-5.\nAnswer: -50*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 + -130.03. What is the closest to 2\/5 in -1\/9, -5, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1733240649 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 8*v + 5. Let k be ((-6)\/(-24))\/(2\/(42 + -2)). Let g(x) = 9*x + 6. Give k*g(n) - 6*h(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -0.2, -3\/5, -14339, -0.06, 1\/7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 4. Let x be v(-8). Let u be 2\/3 + 4\/(-6). Suppose 0 = -3*g - 3*m + 36, u = 2*m + m - x. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 + 4*x - 3. Let z be f(2). Let w be 7\/z + 5\/7. Is w bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8626660 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let t be 2\/(-10) + (-42)\/(-10). Suppose g + 4*c = -2*g - 10, 14 = -g - t*c. Let k(o) = -20*o + 0*o**g + o**2 + o**2 - 3*o**2. Give k(a(s)).\nAnswer: -s**4 + 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -25482 (base 9) to base 7\nAnswer: -101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + 3*z**3 - 11*z**2 - 3*z + 11*z**2 as w*z + v + i*z**2 + j*z**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 7*s + 3. Let b be l(7). Let z(q) = b*q + 7 - 7. Let j(m) = -5*m + 4. Let y(c) = 4*c - 3. Let d(f) = -3*j(f) - 4*y(f). Determine z(d(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + u = 0. Suppose -4*x - a + 59 = -8, -5*x - a + 85 = u. What is the remainder when 101 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/12*(16 - 6). Which is the closest to -1? (a) y (b) 1\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 170134082 - 4?\nAnswer: 170134078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 58) + (2321 - 2283)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2991 + 2998. What is the second smallest value in m, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*p - 13 = 0, -177*m + 176*m + 4 = -p. Let f(x) = -5*x**2 - x - 3. Let s(h) = -h**2 - 1. Let b(r) = f(r) - 6*s(r). Calculate b(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690361 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 267*y - 58. Let o be v(3). Let n(u) = -743*u + o*u - u**2. Let s(p) = 60*p**2. Give s(n(b)).\nAnswer: 60*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4064 and 928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*q + 90 - 134 + 834 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1022 and 0.064.\nAnswer: 65.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000003 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -403*d*n**3*r**2 + 2*d*r**2 - 956*d*r - 4*d + 5*n**4 wrt n?\nAnswer: -1209*d*n**2*r**2 + 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x**2 + x - 1. Let m(u) = 178*u**3 + 149*u**2 - 5*u + 5. Let y(d) = -5*h(d) - m(d). Find the third derivative of y(i) wrt i.\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*a + 2*a - 160 - 191 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.118 + 0.018. Which is the closest to u? (a) 0.2 (b) -2\/23 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 9. Let j(c) = 2*c**3 - c**2 + 2. Let u be j(r). What are the prime factors of (-21)\/u*(-4)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1\/15 (c) 2\/3 (d) -0.1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5 + 11. Let j = 18 + 27. Let g = j + s. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 48 = 3*o, -15*a + 88 = -10*a + 3*o. Suppose 3*h + a = 2*s, -4*s = h - 6*s + 11. What is the biggest value in -0.1, h, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - j + 6. Let o(c) = -c**2 + 332*c - 4 + 15 - 334*c. Determine -3*o(a) + 5*s(a).\nAnswer: -2*a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000027823 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*w**4 - 789*w**3 + 2334*w**2 - 1884*w + 312 = 0. Calculate w.\nAnswer: 2\/9, 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7915\/3 - -2638. Sort r, -7, -38 in decreasing order.\nAnswer: r, -7, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.5, -0.4, -2648.2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.013, 105, 0.2, 1.2, 0.5?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*h + 160, -5*a + 2*h - 7*h = 130. Let f = -5 - a. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -302246, -304269, -307642, -312365, -318438, -325861?\n\"Answer: -675*j**2 + 2*j - 301573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 36. Let n = 92 - c. What is the greatest common factor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -44 + 124. Suppose 4*n = -n + h. Suppose -3*q + 35 = -5*y, q + 4*q = 4*y + 41. Solve -n*d - d = q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*x = -3405 - 10349 + 338. Calculate the smallest common multiple of x and 1105.\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/11 and 33\/269.\nAnswer: 2959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 5c?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**6\/120 + q**5\/60 + q**4\/24 + 109*q**3\/3 - 6*q**2 - 1. What is the tens digit of x(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4, -1\/9, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.853472ng in grams?\nAnswer: 0.000000007853472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2931396*x**2 - 34*x + 304095309.\nAnswer: 5862792*x - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 6. Let a be 52\/(-91) - 53\/(-7). Suppose a*b - 35 - 77 = 0. What is the least common multiple of p and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-18 + 10 - (1 + -3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1986852 = -5016852. Round g to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**6\/150 + 182*f**5\/75 - 12*f**4 - 62*f**2 - f. What is h in m(h) = 0?\nAnswer: 0, 2, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -7\/4, 0.4, 0.2, 10154, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -29. Sort 2\/5, -0.1, p in descending order.\nAnswer: p, 2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2924 and 1075?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6562, 0.15, -0.6.\nAnswer: -6562, -0.6, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 340059582 and 8.\nAnswer: 1360238328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.5. Let q = -0.35 + -0.05. Let g = -0.2 - q. Which is the smallest value? (a) -0.2 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m - 154*m - 13 - 159*m.\nAnswer: -325*m - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -12. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 9 = 5*v, v = 3*j - 7 - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*i + f - 153, -100 = -2*i - 2*f. Suppose -i*n = -47*n - 47406. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {t: 1, k: 5, b: 2, a: 5, g: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367 + 373 + 4 + -30.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1534807?\nAnswer: 71, 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 42 = 112. Let l(v) = -v**3 - v - 4. Let d be l(0). Let i = u - d. Solve 9 = -4*j - i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(28\/3)*(-73)\/(7884\/(-72))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 + 4. Let d(v) be the third derivative of v**5\/30 - v**3\/3 - 10*v**2. What is -11*d(k) - 6*y(k)?\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*q**3 + 48*q**3 - 204*q**3 + 56*q**3 + 54*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/9988 and -111\/352.\nAnswer: 79904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 225230136 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/4*(-424)\/636*-6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 9, j: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/10 + 2\/5. Let n = -50 - -49. Sort n, -4, g.\nAnswer: -4, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -483 divided by 5?\nAnswer: -483\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -13.368, 0.2 in decreasing order.\nAnswer: 0.2, -0.04, -13.368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12780*w**2 + 25588*w**2 - 12367*w**2.\nAnswer: 441*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -203 + 205. Calculate the remainder when (l - -186) + (4 - (1 - 0)) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 24. Suppose n*k = -2*b + 32, -2*k + 3*k + 78 = 4*b. What is the remainder when 25 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -122 - -17?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 282205745 - 282206002.0000282. Let b = p - -257. What is b rounded to 6 dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 9*u**2 + 7*u + 7. What is v(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4409 + -4410. Which is greater: k or -2\/7923?\nAnswer: -2\/7923","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p - 2. Let o be 4 + p + -3 + 3. Suppose -o*v + 3 + 9 = 0. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 6. Let t be q(-10). Solve -f = 4*o + 10, -2*o - 4*f + t - 16 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 21 = -16*t. Put 3, t, 1, -2 in ascending order.\nAnswer: t, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2560)*-1)\/((-3*-2*sqrt(80))\/sqrt(10)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10279 - 1393 = -215*r + 16 - 10480 for r.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2\/11*p**2 - 72\/11 - 10\/11*p = 0.\nAnswer: -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -9*t + 181098. Let b(v) = v. What is b(f(g))?\nAnswer: -9*g + 181098","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40286789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -23. What is the remainder when ((-8)\/5)\/j - 5523\/(-105) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39463314 to the power of 1\/2, to the nearest integer?\nAnswer: 6282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015 a factor of 45602300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**3 - 1113844*g**2 + 8910544*g - 13365744 = 0 for g.\nAnswer: 2, 6, 278453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.14, 1\/14, 5, -3\/7, -8?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60859588, 60859575, 60859560, 60859543, 60859524?\nAnswer: 60859503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 3. Let h be n(4). Let t(o) = o**2 - 3*o + 2. Let j be t(5). Let v be -1 + j\/(-27)*-3. Which is smaller: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/11 + 2*b**3 - 70*b**2\/11 + 50*b\/11.\nAnswer: -2*b*(b - 5)**2*(b - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/20 and 37\/5340115?\nAnswer: 21360460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-72)\/22)\/(-3))\/(56214\/274824).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 5, 0, -24.\nAnswer: -24, 0, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 552.2423483 + -555.60179. Let a = 89.6406413 - g. Let l = 93 - a. What is l rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = x - 3*h, 2*x + 2 = 1703*h - 1706*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -711.796 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 38 (b) 5 (c) 1.1 (d) -37210\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z - 3821 + 1912 + 1953.\nAnswer: -7*z + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4312 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 + 2*l**2 + 3*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*x = -0*x - 314, 4*x = -2*p + 204. Suppose 6*y - 2*y - p = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 1\/12*r**4 + 0*r + 0 - 7\/6*r**3 - 8*r**2. Let y be w(4). Solve -u + g = -y + 2, 7 = 3*u + 2*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213322 - -11?\nAnswer: -213311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -5\/4, -167, -2\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6132803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*f**4 - 170*f**3 + 66859*f.\nAnswer: 852*f**2 - 1020*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -593*k**4\/2 - 2*k**3\/3 + k**2\/2 - 582*k - 1400. What is the second derivative of z(l) wrt l?\nAnswer: -7116*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13077.55 litres?\nAnswer: 13077550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2268 and 26568?\nAnswer: 185976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/6 and 27\/2047094?\nAnswer: 6141282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11261467?\nAnswer: 7, 23, 113, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (174\/(-15))\/((-36)\/1410)*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.87 - 5. Let i = -0.1299993 - a. What is i rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1926639*d**2*k*q**2*z - 2*d**2*k*q - 2*d**2*z + 83*d*k*q**2*z + 2*d*k*q*z - 28*d*q**2*z - 8*d*q + 4*k*q**2*z wrt d.\nAnswer: 3853278*k*q**2*z - 4*k*q - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-19\/3)\/i)**(-14\/5)\/(i**36*i)**(-12\/7) assuming i is positive.\nAnswer: i**(8816\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - v**2 + v + 1. Let o(s) = 19*s**3 - 9*s**2 - 38*s + 9. Let k(j) = 2*o(j) - 18*t(j). Find the second derivative of k(y) wrt y.\nAnswer: 336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 2327195?\nAnswer: 27926340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2776 = 103*d + 2477 - 1236 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-424*n + 199*n + 310*n)*(-2 + 0 + 1)*(-2*n - 3*n + n)*(-2 + 1 + 2)*(1 + 4 - 4).\nAnswer: 340*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(8))**2*-5 - ((1*sqrt(2) + 4)**2 + -2 + sqrt(8)).\nAnswer: -61 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-65))\/(2*84\/(-40)*638\/1914).\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1468, 2927, 4386, 5845, 7304?\n\"Answer: 1459*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8091296 + -82.\nAnswer: -8091378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 852309.9 - 852309.3200017. Let w = m + -0.58. Round w to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*h**2 - 2 + 4*h**2 - 2*h + 6*h**2 + (4 - 1 - 1)*(h**2 + 3*h - 3*h).\nAnswer: -21*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*(-1 + sqrt(891)))**2 - sqrt(891) - (-1 + sqrt(891)*-1)**2)*-3*-5.\nAnswer: -5940*sqrt(11) + 160560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*d - 166, -2*d + 0*d + 203 = 5*t. Suppose c - t = 3*p + 3*c, 5*p + 5*c = -60. Let l = -13 - p. Solve -l*r - 4 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -728 at most -727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 94?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 566658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g - 4. Let n be b(-6). Suppose 5*l = n - 15. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 3096431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -13, 0.5, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -43 (c) 2 (d) -3781.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.98485 nanograms in milligrams?\nAnswer: 0.00005098485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 695, 7610, 26847, 64568, 126935, 220110, 350255, 523532?\n\"Answer: 1027*i**3 - i**2 - 271*i - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + (18 - 13) - 13) + -37.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*n**2*y**2 + n**2 + 2*n*y**2 - 407*y**2 wrt n?\nAnswer: -54*n*y**2 + 2*n + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**3 - 150*z - z**3 + 1028*z in the form c*z**2 + i*z + y*z**3 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1199, -2321, -3367, -4337, -5231?\nAnswer: -6049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzuvevubu. Give prob of picking 2 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(162) - sqrt(2))*2.\nAnswer: 52*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 12:07 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 189020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + n**2 - 119 - 2*n**2.\nAnswer: -2*n**2 - 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 593\/2173989?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 11. Let w be v(6). Suppose -16 = -d - 3*d. Solve 0 = 2*h + c - 1, -d*h - 8 + 1 = w*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30832210 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001141379 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-6 - (-8)\/(-8)). Let o be -1 - 2\/s - 4\/30. Let p = -0.5 - -1. Which is the nearest to 0.1? (a) p (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 6*w**2 + 2. Let d be f(6). Solve 4*y - 5 = -v - d*v, -2*v = 4*y - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3*k - c, -2*c + 3 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -17*y + 32. What is the smallest common multiple of s(-2) and 25?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-1033466\nAnswer: -1033471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -2*u + 15, 0 = 4*o + 4*u - 3*u + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h - 43. Determine x(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:26 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 143578197?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -245 - -248 - (-1 + -1*1). Solve 5*s + 6 = -2*z + s, -m*z - 30 = -5*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/12 - (18\/(-12) - (-2)\/4). Let z(k) = 5*k**3 - 6*k**3 + 9*k**3. Determine z(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4991 is divided by 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b78 + 178?\nAnswer: -a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7.5 times 877\nAnswer: -6577.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = x + 5*h - 8, -5*x = -3*h - 25. Let s = -1.99 + 1.7. Let m = s - -0.09. Which is the third biggest value? (a) -2\/5 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 263? (a) -5 (b) -1.17 (c) 2\/9 (d) 2\/7 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.33 times -186875?\nAnswer: -622293.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5606601 < -39246204\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(704) + -2)**2 + sqrt(11) + -1*sqrt(11)*-1.\nAnswer: -30*sqrt(11) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -66466*f. Let v(w) = -418*w. What is 5*r(s) - 796*v(s)?\nAnswer: 398*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 4)\/(1 + -3). Let k(l) = -10*l**2 - 5*l - 10. Let p(c) = 3*c**2 + 2*c + 3. Let i(v) = f*k(v) + 7*p(v). Determine i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 287*x**4 + 28*x + 6.\nAnswer: 3444*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**46 assuming t is positive.\nAnswer: t**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-7) + 3*2\/(-3). Let q(n) = -2*n**3 - 3*n. Give q(s).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000 + 1000?\nAnswer: -1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*((2*j - 4*j + 4*j)*(1 - 1 + 2) + 2 - j - 2 - j + 2*j - 2*j + 3*j + j - 3*j + 23*j - 53*j - 6*j) - j + 3*j - j.\nAnswer: -65*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.33 + 2.3. Put 1, -1\/2, o in descending order.\nAnswer: 1, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(2 - 27\/15). What is the smallest value in 1, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -1. Is y at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 3) to base 13.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let g(t) = 9*t. Give -5*g(a) - 40*v(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-8)*8\/12*30?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -3, -387 in decreasing order.\nAnswer: 5, 2, -3, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55626350.\nAnswer: 2, 5, 13, 29, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:30 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 24. Let f(m) = m + 23. Let j(w) = -5*f(w) - 4*k(w). Let y be j(8). Solve -2*v - 4*u - 28 = 0, -2*v + 22 - 5 = -y*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 22. Suppose -60 = -4*x + 12. Suppose 4*g - g = x. Calculate the highest common divisor of a and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*f - 24*f - 83 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmmm when four letters picked without replacement from mmmmmmmmmmmmmzmmml?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 5*t**2 - 5. Let h be o(5). Let l be (-2)\/h + 12\/(-30)*-4. Solve b - l*b - 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 1. Let u = -2 - -2. Let p(q) = -7*q - 2 + u*q + 6. Calculate -4*a(s) - p(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19184*j**3 + 1652*j - 1652*j.\nAnswer: 19184*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(11) + (sqrt(44) - sqrt(11))))\/(2*(sqrt(3) + sqrt(12)\/sqrt(4))).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-81 + 11)\/(17 - 15)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44 and -7?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1765, 7469, 17099, 30649, 48113, 69485, 94759?\n\"Answer: -l**3 + 1969*l**2 - 196*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.379844 - 55677.613\nAnswer: -55677.992844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -12. Differentiate -3 + 4*q + 4*q - j*q - 4*q with respect to q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 34*u + 68. Let t be w(32). What is the highest common divisor of 388 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289339 is divided by 192.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106403?\nAnswer: 11, 17, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-84)*35)\/((-15)\/24).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -62.44\nAnswer: 6.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + r**3 - 2*r**3 - 185*r**2 + 12 - r + 186*r**2 to g*r + j*r**3 + o + s*r**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*b - 3*b - 4*b)*(-b - 5*b + 4*b).\nAnswer: 4*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w**(-10)*w*w))\/w*w*w*w))**23*((w*w\/w**(-9)*w)\/w)\/(w**(-6)*w) assuming w is positive.\nAnswer: w**(-214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - p + 2. Let m be x(0). Suppose 96 - 246 = 3*o. Let f be m\/(-9) + o\/18. Which is the third smallest value? (a) f (b) 5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*h**3*x**4 + 5738*h**3*x - 555044*h**3 wrt x.\nAnswer: -96*h**3*x**3 + 5738*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 + 118 + 43)*(-9*i + 11*i + 14*i)*(4*i + i - 6*i) to d + l*i**2 + w*i and give l.\nAnswer: -2016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64.351 or 1\/3?\nAnswer: 64.351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2, -1, -4\/127?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a871a + -b?\nAnswer: -a8727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 14*n - 68. Let s be g(12). List the prime factors of 1 + s\/32 + 9969\/24.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 26*w**2 - 118*w - 19. What is the smallest common multiple of 648 and i(17)?\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -5*h**4\/12 + 40*h**3 - 1190*h**2 + h - 1679. Factor z(c).\nAnswer: -5*(c - 34)*(c - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/59 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57.8 - -58. Which is the third biggest value? (a) x (b) 1\/2 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1241*q + 0*q**5 - q**5 - 1389*q - 3*q**5 + q**5 + 0*q**5 + (-2*q - q + q)*(2*q**4 - q**3 + q**3) + 0*q**5 - q**5 + 18*q**5.\nAnswer: 10*q**5 - 148*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 46445161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -44.0002 * -16\nAnswer: 704.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 7 + 0 + 11791*o**2 + 2)*(5 - 2 - 2) as f*o + b + m*o**2 and give m.\nAnswer: 11791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 112, -66, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 761127 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/5)\/(4\/(-60)). What is the remainder when 34 is divided by (w\/2)\/(8\/(-24))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 3. Let x be 23 + -16 + (0 - (1 - -3)). Let v be (-30)\/40*7 + x\/(-4). Sort v, z, 2 in ascending order.\nAnswer: v, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-2)\/4*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -3*r**5\/5 + 139*r**4\/18 - 64*r**3\/3 + 12*r**2 + 14265*r. Suppose j(x) = 0. What is x?\nAnswer: 2\/9, 3\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 0.3, -10, -0.4 in descending order.\nAnswer: 51, 0.3, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/3)\/r**(1\/4) assuming r is positive.\nAnswer: r**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-9 - (-15 + 20))) + 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 d, and 1 a when four letters picked without replacement from {d: 2, z: 2, y: 9, n: 3, a: 1}.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 13330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.5. Let y = v + 0.2. Let t = 11\/5 + -27\/10. Which is the closest to y? (a) t (b) 1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**7\/105 - 7*k**6\/75 + k**5\/25 + 7*k**4\/15 - k**3\/15 - 7*k**2\/5 + 2*k + 6. Find f such that v(f) = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 10?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17300 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0827449882 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 2. Suppose 3*i - 3*f = -12, 2*i = 5*i + 3*f + 18. Let x(v) = -v + 2. Let b(o) = i*n(o) + 6*x(o). Is b(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595.6305 grams in kilograms?\nAnswer: 0.5956305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:31 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l**4 - 93*l - 131*l**2 - 67*l**2 + 18*l**4 - 15 - 156*l**3 = 0. Calculate l.\nAnswer: -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2))\/y)**(1\/43))**(4\/13) assuming y is positive.\nAnswer: y**(-8\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -44. Which is greater: -6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2217, 2216, 2213, 2208, 2201, 2192?\n\"Answer: -f**2 + 2*f + 2216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5*u - 4*u = 4, -12 = -4*f - 3*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*n - 2*n + 20, 3*m - 10 = -2*n. Solve m*y - 5*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -34*t - 738. Let v(i) = -8*i - 2. What is -d(z) + 4*v(z)?\nAnswer: 2*z + 730","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 170*t - 32. Does 69 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from btkbooibbctc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 17741816\nAnswer: -7096726.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 58386, 58378, 58362, 58338?\n\"Answer: -4*m**2 + 4*m + 58386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 - 191*s + 1. Give z(64).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 - 3*a**2 - 2 + 2 + 7*a to k*a + b + i*a**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6585176.\nAnswer: 2, 13, 23, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(54)\/sqrt(6) + sqrt(9)) + (2 + sqrt(343))**2.\nAnswer: 57*sqrt(7)\/2 + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 6*q**2 + 258*q + 3 - 264*q + q**2. Give k(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-6 - (9 - (-8 + 22) - -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-2\/3))*r*r*r*r**3*r)**(2\/41) assuming r is positive.\nAnswer: r**(46\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 32) + -12 + -84 + 111 - -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -694.7.\nAnswer: 9031.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 0.14901 in descending order.\nAnswer: 5, 0.14901, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*y - 52*y + 384 = 49*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/8 + 184890959*j\/4 - 34184666719939681\/8.\nAnswer: -(j - 184890959)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.843251 nanoseconds to minutes.\nAnswer: 0.00000000038072085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-296)\/(-76) + -4 + 160\/(-1368). Which is the fourth smallest value? (a) 0.1 (b) 2379 (c) x (d) 0.5 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - 1375290622117.\nAnswer: -1375290622116.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**2 - 2*u + 2. Let j(w) = -5*w**2 - 3*w + 3. Let f(g) = 3*j(g) - 4*v(g). Let i(l) = -35*l + 39*l + 124*l**2 - 127*l**2 - 5. Give 5*f(c) + i(c).\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39, 85, 131?\n\"Answer: 46*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (-7)\/(21\/114783). Let b = o + -4399588\/115. What is the common denominator of b and 56\/45?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (240\/18)\/((-6)\/(-81)). Suppose -t = -9*o + 3*o. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 149903417747712.\nAnswer: 149903417747708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**2 - 40. Let i be y(-7). Calculate the greatest common factor of 505 and i.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -2\/165*y**5 + 0*y - 3*y**2 + 1\/660*y**6 + 0 - 2\/33*y**3 + 5\/132*y**4. Factor c(k).\nAnswer: 2*(k - 2)*(k - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 minutes before 4:22 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/21 - 174\/(-14). Suppose 0 = -2*t + 4*n - 10, 13 = 5*n - s. Solve t = 3*w - 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112189 is divided by 6599?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73231573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 2*m**2 - 12*m - 12. Let w be a(6). Suppose w + 240 = 6*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i + 42. Let q be t(-12). Let x(p) = -49*p + 9. What are the prime factors of x(q)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s*s\/((s\/(s*s**(-7)))\/s))\/s))\/((((s\/s**4*s)\/s)\/s)\/s*s)*s**(-8)*s**3 assuming s is positive.\nAnswer: s**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*u - 3*u**2 - u**4 - 143 + 101*u + 60 to the form q + o*u + g*u**3 + r*u**2 + m*u**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 1.21, 3.9, -4.5, -2 in decreasing order.\nAnswer: 16, 3.9, 1.21, -2, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33292\/224 - ((-9)\/(-8))\/(-3). Let w = s + -135. What is the remainder when 37 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 105, 0.5, -1\/4, -8, -21 in increasing order.\nAnswer: -21, -8, -1\/4, 0.5, 4, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/6)\/(2\/(72\/(-6)))*-1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4 = 2. Let j be 54\/(-1)*2\/(-4). Solve -v + j = w*r - 7*r, -11 = -3*v + r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0.32. Suppose 2*x = -5*d + 5, 0 = 3*d + 5*x - 7*x + 13. Let y be (d - 2) + (-2 - -3). What is the third smallest value in 0.1, h, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1194*r + 2312 = 1058*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Suppose m*h = -h + 1290000. Round h to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 5. Suppose o - v - 14 = r, 4*o = -4*r + 76. Solve o = q - 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -75*b + 8927. Calculate u(191).\nAnswer: -5398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 153? (a) 7 (b) 2\/9 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16083 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Suppose -4*q + 2*q = -20. Let k(a) = -1 + 6*a**2 + 1 - q*a**2. What is y(k(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2062 (base 9) to base 13\nAnswer: 8c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1602\/13 + -1871\/52. Let f = -87 + h. What is the fourth smallest value in 1\/2, 0.2, 0, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1 = 4*f, 2*w = 3*f + 47. Suppose 0 = -7*n - 281 + w. Let p = n - -76. Calculate the remainder when p is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/10, -4, 0.1, 3\/2, -9\/43, -0.88?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/9)\/(a**(-5)\/a))\/(a\/a**(-5)*a**(-2\/7)))\/((a**(-1\/4))**(2\/107))**26 assuming a is positive.\nAnswer: a**(3494\/6741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -200*y + 201*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1904363 and 5505?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*s**3 - 28\/5*s + 22\/5*s**2 - 48\/5 = 0.\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*-4 + (-1 + sqrt(1539))**2.\nAnswer: -34*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 11 = 4*d + 4, -z + 3*d = 0. Let t(r) = r**2 - 2*r + 3. Let w be t(z). Suppose 41 + 49 = 5*q. What is the greatest common factor of q and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/15)\/(6\/(-5))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23\/17 + -86\/51. Let h be (-2)\/16*-2*4\/(-4). Sort t, h, -4.\nAnswer: -4, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 448360 - 448172. Suppose 0 = 2*c - 115 - 11. What is the remainder when k is divided by c?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 11:35 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*a + 1 + 1 = 0, -5*a + 14 = g. Let j(l) = -2*l**2 + 7*l - 2. Let s(w) = 2*w**2 - 6*w + 2. Determine g*j(p) + 5*s(p).\nAnswer: 2*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1244194 and -0.5.\nAnswer: -0.5622097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kpkpjkjwjn. Give prob of picking 3 k and 1 p.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11230 is divided by 688.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1975 or -1968?\nAnswer: -1968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12111332 (base 6) to base 16.\nAnswer: 5d6c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5*d = -13, 0 = -5*n - 2*d - 11 + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109444 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(450) - (sqrt(450) + -1*sqrt(450) + sqrt(450)) - sqrt(450))\/(-4*2*sqrt(10)).\nAnswer: -5 + 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7033714 less than -28134859\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f\/(f**(-2\/53)\/f)))\/((f**(-2)\/f*f)\/f) assuming f is positive.\nAnswer: f**(210\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(33)\/(sqrt(192)\/sqrt(4)) - ((2*sqrt(891) + sqrt(891) - sqrt(891)) + 0 - sqrt(891))))*5)**2.\nAnswer: -4375*sqrt(11)\/2 + 346875\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -1 + 4272646\/148150?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1191224527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -g + 3, 5*q - 6 = -25*g + 23*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**2 - 41*v - 288. What is the remainder when f(-9) is divided by 163?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -9627 (c) 2 (d) -4 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/((-87)\/(-290))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + 0)*16\/(-12). Suppose 5*p - p = -q. Let m(c) = c**2 - 2*c. Calculate m(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 0*n + m - 435, 0 = 2*n + 4*m + 290. Let s = 144 + n. Sort 4\/5, 2, 0.5, s.\nAnswer: s, 0.5, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12797*s - 40982 = -40269 - 74313 - 834987 for s.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816 divided by -454?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**32)\/z*((z\/(z\/z**(-11)*z)*z)\/z*z)\/z*z)\/(z\/(z*z**(1\/5)))**(-20\/7) assuming z is positive.\nAnswer: z**(-291\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 2911264 and -5.8.\nAnswer: 2911258.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 8:56 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*j + 2*j + 20, 4*j - 8 = 0. Solve 0 = -4*l + 5*p + 26, -2*p = 2*l - 0*p - q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6079*z**2 + 6076*z**2 + 211518 - 211518.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 64623\/25 - 2585. Let w be 6\/8*(-4)\/(-5). Sort q, 3\/4, w in decreasing order.\nAnswer: 3\/4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 4. Let y be 1\/s - (-275)\/20. Is 3303\/21 + (-4)\/y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*-27*6\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124307*s**3 - 2820536*s.\nAnswer: -745842*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15535, -15674, -15899, -16204, -16583, -17030, -17539?\nAnswer: -18104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4)*w**(-1\/2))**27\/((w**0)**(6\/11)*w**2*w*w**(2\/9)\/w*w) assuming w is positive.\nAnswer: w**(-359\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:28 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, 2, -2\/11, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/138 + 6\/69. Solve r*d + 8 = 4*a + 2*d, 2*d = 2*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h + 70. Give b(-13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 500 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87808)\/1344 - (-12)\/(-18)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -30. List the prime factors of 240\/w + (-1 - 6\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 0.2 (c) 4\/9 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 5*o - 12*o + 7*o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27998423 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(sqrt(10) + sqrt(90)))\/(sqrt(8) - sqrt(72)))**2.\nAnswer: 7\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/13122 and -11\/31510.\nAnswer: 206737110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 7*q**3 + 502*q - 249*q + 6*q**2 - 248*q - q**3 + 0 + 0 - 3*q + q**3 + 3*q + (q**2 - 5*q**2 + 2*q**2)*(0*q + 2*q + 0*q) - 4*q**3 + 12*q**3 - 3*q**3.\nAnswer: -6*q**3 + 6*q**2 + 5*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36785 - 36783. Let c = 32\/221 - 6\/221. Factor 2\/17*x**d + 0 + c*x.\nAnswer: 2*x*(x + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/57955542 and 47\/6.\nAnswer: 57955542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 15*l = 12. Let o be ((-6)\/(-36))\/(1\/l). What is p in -3\/4*p + 1\/4*p**2 + o = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 101001111001000110011?\nAnswer: 101001111001000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19126264\/5 or 3825252?\nAnswer: 19126264\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/43 - -35\/172. Let k = -2 + 6. Let z = 3 - k. Which is the biggest value? (a) w (b) z (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxmlxmmwmzwzxwz. What is prob of sequence mwxx?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.2 - -0.2. Let h = 0.05 - 0.35. Which is the third biggest value? (a) h (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/2 + 15*q - 897\/2.\nAnswer: 3*(q - 13)*(q + 23)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-119)\/(-28))\/17 + (-19)\/(-4). Solve -l + 1 - c = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005932346 rounded to six dps?\nAnswer: -0.000593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -11. Is -5 + b + 1 + 18 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101752?\nAnswer: 2, 7, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 7*j + 24. Let f(b) = 2*b + 3. Let q(d) = -3*d - 4. Calculate j*q(h) + 5*f(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -122, -8, 1 in descending order.\nAnswer: 1, -4, -8, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 0*x - 1 + 0*x**5 + 0*x**2 - 4\/3*x**3 - x**6 + 0*x**4. Find the third derivative of y(w) wrt w.\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1942 and 154472?\nAnswer: 149992312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*y**2 - 59*y**2 + 19*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -2176261.\nAnswer: 1305756.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -15. Let f(i) = 4 - 6 + t*i**2 + 2. Let m(o) = -2*o + o + 7*o - 5*o. Calculate m(f(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(15\/2)*t\/(t*t*t*t**(-35)\/t*t)*t assuming t is positive.\nAnswer: t**(83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) + (-54)\/12. Let s = 2 - i. Which is smaller: 6 or s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.86286567 to three dps.\nAnswer: 64.863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41 and -1292467.\nAnswer: 52991147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 + 2*f**2 + (5*f + 12 - 12)*(-7 - 6 - 1)*(-f + f + 2*f).\nAnswer: -138*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/7263 and -11\/8.\nAnswer: 58104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 11, -1, -35, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-44083)\/5*-4 + 6\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17290*g**3 - 15807*g**3 - 371*g**3 - 1563*g**3.\nAnswer: -35031*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, d: 3}. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 913 divide 7174354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24\/121 + -2342\/3267. What is the common denominator of h and 65\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126550490\/1737229 - -3\/133633. Let c = u - -73. What is the third biggest value in c, -2\/11, 2\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, v: 1, m: 5, w: 1}. What is prob of sequence bw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 15*f - 74. Give v(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-4) - (-12)\/(-8). Let f be 56\/21*6\/b. Solve f = -q - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, -4, -8, 5, 0.1, -84, -28?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -718, 4, 2, 6, 23, 5 in decreasing order.\nAnswer: 23, 6, 5, 4, 2, -718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 48*v**2 + 1009*v + 19. Let r be y(-21). Which is the second smallest value? (a) -0.1 (b) r (c) -0.047 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 14*y + 35. Determine i(19).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 + d + 1. Let f be h(-1). Suppose 7 + 3 = -5*x. Sort f, x, 5 in decreasing order.\nAnswer: 5, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10974 and 241242?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 9*d**2 - 4*d - 1. Let o be w(-7). Suppose -4 = 3*r - 1. Is (-2 - (r - 0)) + o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**4 - 6*q**4 + 5*q**4 + (2*q + 4 - 4)*(4 - 4 + 2*q**3).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -19. What is the units digit of h\/95 + (-7114)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431363389 to the power of 1\/2, to the nearest integer?\nAnswer: 20769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*o + 2*o = -2, 5*l = 3*o + 2. Which is bigger: -4\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -633?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 14 = -2*h, -h - 3*x = h - 18. Put h, -7, 2 in descending order.\nAnswer: h, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/(-24) + (-28)\/(-12). Let l(d) = 0 + x + 2 + 4*d + 2*d. Let c = 3 - 5. Calculate l(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u**2 - 39*u**3 + 12*u - 16*u - 3 + 14*u**2 - 7*u**2 in the form b*u**3 + g*u**2 + w + f*u and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (350\/55)\/(-2) - (-4)\/22.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 17*b + 59. What is h(-19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-144)\/(-15) - 0)*(-30)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from cxxccxxccxxcrxxcz.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5726 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 52 = 74. What is the smallest common multiple of j and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/10)\/(18\/(-20)))\/((-7)\/14*52)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 5*v**2 + 35*v + 142. Let j be u(-7). Which is the closest to 2? (a) -6\/11 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-320)\/(-6))\/(-4)*1488\/1984\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.46 - 0.14. Which is the third smallest value? (a) 3 (b) l (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 1. Suppose 5*m = 3*b - 1, -5*m + 4*b + 0 = 3. Let f(a) = 17*a + 47. Let c(q) = m*f(q) - 5*r(q). Differentiate c(y) with respect to y.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 8*o**2 + 35*o + 14. Let k be 255\/(-25) + 36\/(-45). Let t be c(k). Let d(m) = -4*m - 8. Calculate d(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 850*x**3 - 2*x**2 - 2*x - 5. Is c(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 10. Let l be (-4)\/57*f\/4. Let o = -388 + 386. Which is the smallest value? (a) -0.1 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056984 to 6 dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*j + 9 + 11, 3*i = -15. Solve -3*v - 10 = -j*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4.1 (b) 4 (c) -3 (d) 2996 (e) -19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1032 * -0.0072\nAnswer: 7.4304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 3. Let t be g(-7). Suppose -3*x + x + t = 0. Suppose -x*f + 35 = 5*w - 3*f, -13 = -w - f. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2 - 11\/(-6)). Suppose -k - 2 = -2*k. What is the highest common divisor of k and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = -4*p. Let w(m) be the first derivative of 0*m - 1\/2*m**2 + 1\/3*m**3 - p. Solve w(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85274687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffkffnknyfkkkfkffk. Give prob of picking 3 f.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 27*k + 2*k**3 + 23 - 111542*k**2 - 3*k**3 + 111565*k**2. What is the remainder when f(24) is divided by ((1 - 0) + 31)\/1?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/297 in 32, 0.4, -2, -0.1, 168\/19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58874 or -57534?\nAnswer: -57534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5226 and 9.\nAnswer: 15678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = w + 2*w. Suppose 13*k - 47 = 8*k - 3*c, -4*c + 36 = 4*k. What is the tens digit of (-6)\/w - (-196)\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 13*r**3 - 5*r**2 - 2*r + 2. Let d be b(3). Suppose -2*p + t + 156 = 0, -3*p = p + 3*t - d. List the prime factors of p.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.382 + -302.618. Let n = -307 - j. Let p be -3*(5\/(-3) - -1). Which is the third smallest value? (a) p (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**2*p*w - 2*g**2*p - 3823*g**2*w + 28*g**2 - 159*g*w - 3560*p - 2*w wrt g.\nAnswer: 4*p*w - 4*p - 7646*w + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 16 - 16)*(3 + 0 - 5)*(-129*g - 1987 + 3975 - 1994) as a + c*g**2 + w*g and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -6350 (b) -0.2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 11*n - 7. Let k(w) = -4*w - 4. Let s be k(-3). What is the units digit of a(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**3 + 164*f**2 + 50*f + 220. What is y(55)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101010111001010001001 (base 2) to base 4.\nAnswer: 31113022021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 376, 1508, 4180, 9172, 17264, 29236?\n\"Answer: 130*w**3 - 10*w**2 + 252*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 33 = 4*j. Calculate the greatest common factor of 256 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.66? (a) -0.2 (b) -103 (c) 8647 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5712 divided by -74.\nAnswer: -2856\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5*x - 65 = 0, -158*o - x + 7 = -154*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 10*d**2 + 7*d + 7. Let k be l(-1). Suppose -k*g + 4906 = g. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 37. Let f = g - 47.9999. Round f to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than 23\/294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i + 6. Let s = -22 + 32. What is the smallest common multiple of s and (-13)\/(-2) - (-1)\/i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 443532 by -6.\nAnswer: -73922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -4, -0.10059, 0.7?\nAnswer: -0.10059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(sqrt(704) + sqrt(704) + -3 + sqrt(704) + 2 - 4*sqrt(704)*1)**2*-1.\nAnswer: -5640 - 128*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -178\/3 + 60. Which is the second smallest value? (a) 5 (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d. Suppose 2*x = -7*h + 3*h + 68, h = 2. Let r(j) = -10 - 1 + 11 + 5*j**2 + x*j**2. Calculate f(r(k)).\nAnswer: -315*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -17. Let b = 18 - g. Calculate the lowest common multiple of b and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 9 - 27. Let h(n) = -n. Let m(k) = -5*k. Let c(x) = a*h(x) + 4*m(x). Let v(l) = l - 2*l - 2*l. Calculate v(c(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2\/5 + 95706*k + 2871072\/5 = 0 for k.\nAnswer: -159504, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f - 23. Suppose 5 = -3*m - 10, -2*b - 4 = 4*m. What is x(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 10.\nAnswer: -23\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 3:17 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 0*t**2 - 2*t**2 + 5*t**2. Let u(s) = -s**2 - 4. Let p(w) = -2*w**2 - 10. Let c(v) = -2*p(v) + 5*u(v). What is h(c(l))?\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 251*n + 5. Let r(p) = 8*p + 46. Determine w(r(k)).\nAnswer: 2008*k + 11551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3993 is divided by 15 - ((-5)\/(30\/4) + (-200)\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33d19 (base 14) in base 12?\nAnswer: 60b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 4, -14, 0, -29.\nAnswer: -29, -14, -7, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -169754877*n**4 - 455307378 wrt n?\nAnswer: -679019508*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 19*r**2 + 24*r - 76. Let t be d(20). Suppose -3*h = -5*k + 2803 + 526, 2009 = 3*k + t*h. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 16*l**3 + 10*l**2 + 4*l - 12. Give z(2).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0 - 1\/2*u**2 + 1\/6*u**3 - 17*u + 1\/4*u**4 + 1\/20*u**5. Determine o(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 7:03 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*c - 5*c - 2*c)*(-3*c**3 + 6*c**3 - c**3) + (0 + 3 - 1)*(-c**4 - c**2 + c**2) - c**4 - 4*c**4 - 4*c**4)*(-30*c - 3 + 2 - 19*c).\nAnswer: 735*c**5 + 15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-16)*-6*(-20)\/(-3). Find the common denominator of (q\/(-140))\/(2\/(-186)) and -39\/77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v + 5. Let s be h(-1). Let y(a) = -39*a + 163*a - 41*a - 39*a - 47*a. Calculate y(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 1\/8*k**4 + 0 + 2*k - 45*k**2 + 0*k**3 - 2\/15*k**5. Let y(h) = -8*h**2 + 2*h. Give -5*y(t) + 4*z(t).\nAnswer: 8*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.69966 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -5 (b) -3 (c) -4 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4864\/76 + -80)\/((-2)\/7*-1)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -15) + 73 - ((-4 - 4) + 8).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by -67916.\nAnswer: -57\/67916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**5\/60 + j**4\/6 + j**3\/2 - 4*j**2 + 5. Let h(p) be the second derivative of s(p). Give h(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*i - 10. Let s be (6 + i)\/((-1)\/3). Let z(w) = 2*w**2 - 4*w. What is the remainder when 10 is divided by z(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526066 is divided by 187.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.917536 rounded to two decimal places?\nAnswer: -2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(19) + sqrt(76) + -5 + (sqrt(19) + 5*sqrt(19)*-2 + sqrt(19) - sqrt(171)\/(sqrt(9) - (sqrt(36)\/sqrt(4) - sqrt(9)))))**2.\nAnswer: 96*sqrt(19) + 748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5115 - -20812. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(228) - sqrt(228))*2)\/sqrt(12))**2 + 3 + (-3*sqrt(57)*-2)\/(-1*(sqrt(9)\/sqrt(3) + sqrt(3))).\nAnswer: -3*sqrt(19) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2 = 2*j, -j - 1 = -5*q - 2. Suppose q = -3*a + 146 + 154. Suppose a = 2*c + 3*c. Solve 2*b + 0 = 2*v + 10, b + c = -4*v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1, -2\/11, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01108157614 to five decimal places.\nAnswer: 0.01108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46517?\nAnswer: 181, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2713232 and 896.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-3 + 11 - -8)) + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r. Let w(j) = j**2 + 3*j - 6. Suppose -22 = 5*z - 0*z - n, -2*z + 5 = -5*n. Let s be w(z). Let x(p) = -s*p**2 + 4*p**2 + p**2. Calculate x(h(f)).\nAnswer: 100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 41*u**2 - 16*u + 138. What is the thousands digit of q(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -1\/12*b**4 - 1\/10*b**5 + 8*b**2 + 9 + b**3 + 1\/60*b**6 + 0*b. Let d(z) be the second derivative of f(z). Solve d(w) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*z**5 - 28*z**3 + 101*z + 4.\nAnswer: -60*z**3 - 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkk when three letters picked without replacement from {r: 12, k: 3}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 13, v: 3}. Give prob of sequence vm.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -288*g - 2253. What is q(-5)?\nAnswer: -813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a - 360585 = -360666 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -33. Let v(a) = -2*a - 22. Let k be v(-11). Let t(i) = -i**3 + i**2 + 2*i + 5. Let u be t(k). What is the nearest to -4 in m, -4\/9, u?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38680 + -0.1998519993\nAnswer: -38680.1998519993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/14)\/((-6)\/14*(-24)\/(-252))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*3*4\/(-18). Let o = l + -2. Suppose -2*w - 3*b = -25, o = 2*w + w + 5*b - 38. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -47 - (-3752)\/(-152)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140229, -12, -2\/21 in ascending order.\nAnswer: -12, -2\/21, 140229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-484)*(-22)\/(-16).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((39\/42)\/13)\/((-4)\/(-14))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 - 9*f - 2. Let i(z) = -8*z**2 + 11*z + 3. Let l(b) = 6*i(b) + 7*v(b). Let q be l(-2). Let c(d) = d**2 - 2*d. Calculate c(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 48 = -5*c, 0*c - 3*c = 3*t + 96. Let i(l) = 2*l**2 + 52*l - 2. Calculate i(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 250 - -5?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3036 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 10*p. Let c(u) = -178*u**3 - 27*u + 7. Let z(y) = -c(y) + 2*w(y). Find the second derivative of z(f) wrt f.\nAnswer: 1080*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j**4\/3 - 3004*j**3 - 326482*j**2\/3 - 723092*j + 42912 = 0. What is j?\nAnswer: -24, -9, 1\/17, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*p**2 - 174*p + 174*p)*(4*p - 8 + 8) as k*p**2 + z + w*p + h*p**3 and give h.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*m + 78*m + 3390 + 12090 = -103*m for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12496\/27131 - 2\/2087. Let i = 30 - 31. Which is the nearest to 2? (a) m (b) i (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/7))**(-26)\/((z*z\/(z*z\/(z\/(z**(1\/4)*z))*z*z))\/z*z*z)**(7\/10) assuming z is positive.\nAnswer: z**(-1823\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 64 = -26*k - 170, -h - 9 = k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((87\/2)\/(-29))\/((-9)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1. Let m(w) = 4*w + 8. Let q = 105 - 97. What is q*v(g) + m(g)?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.34083? (a) -0.3 (b) -5 (c) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, r: 5, w: 2}. Give prob of sequence rwi.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546593 is divided by 245.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54812.\nAnswer: 2, 71, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 + 1) - (-57 - -116 - 32)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -14*q - 14. Let z(o) = -5*o - 5. Let f be -13*(-1 + 4 + -4). Suppose 1 - f = 3*g. Let h be 6\/2*11\/3. What is g*p(r) + h*z(r)?\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 3 - 2 - 9 - (14 + -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4144 greater than or equal to -4144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7) - 510\/(-315))*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198353 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2\/13, 3, -21 in descending order.\nAnswer: 3, 2\/13, -2\/5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 6*l**2 + l - 4. Suppose -5*y = -3*m - 15, -2*y + m + 3 = -4. Let u be c(y). Suppose -2*o + 120 = u*p - 30, -3*o = -2*p + 130. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b + 1. Let g be r(0). Suppose -2*i = -3*o + 22, -4*i + g = -3*i. Suppose 2*t = t + o. Solve -3*f + 4*s + 1 = -t, -7 = -2*f + 3*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9098314 millilitres?\nAnswer: 0.0009098314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053118729 to the power of 1\/2, to the nearest integer?\nAnswer: 32452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904374134?\nAnswer: 2, 452187067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 150 and 0.09103.\nAnswer: 13.6545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 667, 1\/6, -0.005611?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.89656ng in grams?\nAnswer: 0.00000007289656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 301294 divided by 5\nAnswer: 301294\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 170370144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6226, -11, 1, 2.\nAnswer: -6226, -11, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209 by -1.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p - 1. Let i(c) = -2*c + 2*c + 2 + c - 2*c**2. Give -2*i(a) - 2*o(a).\nAnswer: 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -x + 4874513, 6*n = 2*n - x + 3899610. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-277090)\/(-220) + (-2)\/4*1 is divided by 85?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from qffrrnqififffrliirll.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-88)\/32 - (2 - 50947993\/(-4)). What is h rounded to the nearest one hundred thousand?\nAnswer: -12700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730*q**2 + 719*q**2 - 1449*q**2 + 9*q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*d - 1253 = -657 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22 - -22) + -2*30\/(-44). Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -98, 306031 in increasing order.\nAnswer: -98, 0, 306031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3047.\nAnswer: 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -519 - -1943. Let v = 12794\/9 - y. Suppose -2*d = 8 - 4. Is d equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-3)\/((-3)\/2)). Let t = 55 + -53. Let o(h) = -3 + 6 + h**2 - t*h**2 - h. What is o(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-12) + 645\/(-20). Let h be o\/(-12) + (-2)\/(-6). What is the derivative of r**3 + 7*r**3 + 3 - h*r**3 wrt r?\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -65, -4, 3 in ascending order.\nAnswer: -65, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16447.53nm in centimeters?\nAnswer: 0.001644753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 13. Let t = -4164.915 + 4157.915068. Let j = z + t. Round j to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 = 4*d, 3*d - 4*j + 7 = -1. Let v be d\/(-26) - 528\/(-1404). Let h = 0.14 + -2.14. Which is the closest to h? (a) 2\/11 (b) -3\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 79090?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -91. Let z = -2.99 + -1.01. Put z, a, -0.4 in increasing order.\nAnswer: a, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1206 (base 8) to base 4.\nAnswer: 22012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.8 + -6.8. Sort -0.3, j, -5 in increasing order.\nAnswer: -5, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 10. Let z be q(8). Suppose -z*o + 2*o = -468. Suppose 2*d = -4*m + 2*m + 22, -5*d + 29 = 3*m. Calculate the highest common divisor of m and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t + 3*t - 4*t)*(-1 + 1 - 2) + 6 - 6 + 31*t)*(-t + 2*t + 0*t + 2).\nAnswer: 33*t**2 + 66*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, g: 1, r: 1}. What is prob of sequence kkr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23741 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 58847, 58900, 58951, 59000, 59047, 59092, 59135?\n\"Answer: -m**2 + 56*m + 58792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244981 + 244991 = 4*h + 5*l, 16 = 4*h + 2*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*r - a - 30, -a = 3*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5420 + 736?\nAnswer: -4684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 6*m - 14. Determine l(10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from nlpnpwpnlwnppnnnn?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 194\/8 + (-33)\/(-44). What is the highest common factor of h and 2300?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnfnnnffffnfxxjnnr. What is prob of sequence jf?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 2. Let a be x(-2). Suppose a*r - 3*d = -r - 11, 5*r = 2*d + 10. Solve -h - r*h - 10 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 76679918\nAnswer: 1\/38339959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/195139 and 149\/4392?\nAnswer: 14050008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/9 - 10\/(-6). Let h(q) = q - 3*q - a*q. Let x(b) = 0*b + 3*b + 2*b - 3*b. Give h(x(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -62265 greater than -435853\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2 + 2*u. Let d(w) be the second derivative of 0*w**3 + 1\/12*w**4 + 71*w + 0*w**2 + 0. Determine d(c(i)).\nAnswer: 9*i**4 - 12*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*g = -6314, -s + 3*s = 3*g + 6294. Let k = s + -1556. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from vvvvvvvvvvvvviiivii.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 0.5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -17227253\nAnswer: 1\/17227253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + -12 - -2 - (-107 - -101).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -52 (c) 2\/63873 (d) 52\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*n + 50*n = -46*s - 44, -14*s - 2*n - 22 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14463842977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116 and 20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2681 + 295 = 0. Let r = l + -2944\/3. Find the common denominator of r and 41\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, c: 4, i: 1, w: 4, z: 4, q: 1}. Give prob of sequence iqi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 4. Put x, 0.1, -2\/9 in ascending order.\nAnswer: x, -2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, -101, -2 in decreasing order.\nAnswer: 11, 5, -2, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 + 2. Let x = -56 + 58. Which is the nearest to -2\/9? (a) u (b) x (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -47 in ascending order.\nAnswer: -47, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20866180 divided by 8170.\nAnswer: -2554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -84863822 - 967?\nAnswer: -84864789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.015869922 and -3?\nAnswer: 0.047609766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*z**3 - 152*z**3 + 5 - 71*z**3 + 2*z**2 + 2*z - 48*z**3 + 8*z**3 in the form r*z**3 + t*z**2 + u*z + b and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (-3 - 3\/3). Let d = -6 + 8. Suppose r = -d*q + s + 3, 4*q - s - 15 = -q. Solve 0*m = q*m - 3*k + 11, 3*m + 5*k + 30 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 8. Let x(r) = 121*r**2 - 1. Let f be x(b). Suppose 0 = -5*o + 5*w + f, 5*o - 120 = -w - w. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4374956520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -106669b0?\nAnswer: -106669ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 127140471 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571207689.\nAnswer: 3, 13, 317, 15401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 - 4 = 0. Suppose 4*b - k*z - 101 = -7*z, -z = -3*b + 71. Let x be b\/2*(-405)\/(-30). Calculate the greatest common factor of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1384 + -3846. Let n = f + 4935. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 10:36 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4542 >= -801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z**2 - 100*z + 102. What is m(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 341 = 319 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*l**2 + 442*l**2 - 220*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - o - 9 = 0, -j - 3*o = -o + 4. Solve 25 = 2*p - 3*n, p = -j*p + 5*n + 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 9294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*f = 44, 5*h = 18*f - 19*f + 55 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h**4*t - 18*h**3*t**2 + 8*h**2*t - 2*h**2 - 3*h*t**2 wrt h.\nAnswer: 144*h*t - 108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39972299, -79944591, -119916883?\n\"Answer: -39972292*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02791 (b) 38 (c) -2\/11 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -19342*d. Let k(n) = n**2 - 20. Calculate s(k(r)).\nAnswer: -19342*r**2 + 386840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c**(-1\/9)\/c)\/c)\/c)\/(c*c\/(c**(4\/3)\/c)*c))\/(c**0\/c)**(2\/41))\/(c**6*c**5)**(2\/37) assuming c is positive.\nAnswer: c**(-86336\/13653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 12. Let v be g(-10). Suppose -4*r = -2*d - 22, -v*r + 6 = -4*d - 14. Solve 2*h - 4*p = -0*p + 10, -r = -h + p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*k + 220 - 3. What is the nearest to 4 in 0.3, -2\/7, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24031 + -360?\nAnswer: 23341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 18.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 884584, 0, -5 in decreasing order.\nAnswer: 884584, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eele. What is prob of sequence ele?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 24*r**2 - 53*r + 26. Let g be l(26). Solve g = -5*a + a - 5*o - 5, o + 12 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsqsohqoobhsqhqo. What is prob of picking 2 b and 1 q?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**7\/525 - 2*x**6\/25 + 59*x**5\/75 + 26*x**4\/5 + 169*x**3\/15 - 76*x**2. Factor s(y).\nAnswer: 2*(y - 13)**2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**5 - 4235322*t**3 + 9374472*t**2.\nAnswer: 180*t**2 - 25411932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89848 - 90058 = -10*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97693 - 206851. Let r = t - -183811. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 6088 + 3040 + 3048.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250, -357, -518, -733, -1002?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 40898543 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123502 is divided by 3294?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 16*j = -540. What is the least common multiple of 16 and j?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3\/2 - 26115*w**2\/2 + 629352*w - 7562592 = 0. What is w?\nAnswer: -8753, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**3 + 142*d**2 + 47*d - 1. What is y(-47)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102559287?\nAnswer: 3, 59, 71, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 608.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7150 + 7156. Let n(l) = l**3 - l**2. Let r(p) = 17*p**3 + 6*p**2 - 2. What is t*n(d) + r(d)?\nAnswer: 23*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0. Suppose -16*r = -4*r - 12. What is the closest to w in -5, 3\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 178*g**2 + 169*g - 1905. Calculate f(-179).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 830, 829, 828?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*q + 1. Suppose -227 = -q*c + 665. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t + 10. Let y be a(1). What is the closest to 0.1 in -3, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.319t to kilograms.\nAnswer: 79319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 2 - c + 7*c)*(-2 - 3 + 1).\nAnswer: -8*c - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 235 - 3 = 2*d, 3*c - 3*d = -243. Let h = 60 + c. Let n be (195\/h)\/(-2 - 13\/(-8)). What is the highest common factor of 65 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t - 16. Let o be (-5508)\/(-684) + 1\/(-19). Solve -c - t = -o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117) - -3*sqrt(117)) + sqrt(117)*-1*2)\/((-3*-2*sqrt(576) - sqrt(576))*-6).\nAnswer: 11*sqrt(13)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2581 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s = 11*s - 517 - 275. Let k(c) = -8*c + 1. Let y be k(-3). Let x = y - s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4274 + -266051?\nAnswer: -272345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42176281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.02, 8, 12, -0.4, -10\/19.\nAnswer: -5, -10\/19, -0.4, 0.02, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 0, 0 = j - 0*j - 3*x - 754. Do j and 754 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + a + 2*a)*(a - a + a)*(3*a**3 + a**3 - 5*a**3) + 18 - 18 - 2*a**5 + (-2 + 2 + 2)*(-a**5 - 5*a**4 + 5*a**4).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 60?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17884716*i*z**2 - 1568246*i*z - z**2 + 5*z wrt z.\nAnswer: 35769432*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x + 2. Calculate the lowest common multiple of z(4) and 236.\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5070.8 - -3.\nAnswer: 5073.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38360377 and 34873070?\nAnswer: 383603770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 take away 145448?\nAnswer: -145489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489210, 489096, 488982?\nAnswer: 488868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 284*z**4 - 8*z**2 + 4849.\nAnswer: 1136*z**3 - 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005483 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2\/15, -306, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2957 + 5459. Let h = p + -1313. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**6\/75 - 3*z**5\/25 - 3*z**4\/10 - 4*z**3\/15 - 6*z. Factor a(c).\nAnswer: -2*c*(c + 1)**2*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32143 - 442044?\nAnswer: -404401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(28)*-3.\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18.468 + -161.56969\nAnswer: -143.10169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i - 114. Let c be u(17). Let s(x) = x**3 - 6*x**2 - 2*x + 9. Let a be s(6). Sort -4, c, a, -7.\nAnswer: -7, -4, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuop when four letters picked without replacement from poououpuo?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*x - 3*x. Let p = x - -11. Let q(l) = l**2 + 7*l - 6. Let f be q(-8). Solve p*n - 6 = 4*g, 3*g + n - 6 = -f*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 10. Suppose -a*x + 45 = -30. Suppose -2*c + 2*m = -37 + 39, 3*m - 11 = -c. Solve 0 = -4*o + y - 3, c*y = -2*o + 1 - x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**4\/12 + 12*i**2 + 2. Let x(y) be the third derivative of y**5\/10 - y**2. Determine r(x(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -365*a**3*s - 4*a**3 + 13*a**2 + 76*s wrt a?\nAnswer: -2190*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000120 (base 3) to base 9.\nAnswer: -1016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*r**4 + 209816*r**3 + 734129*r**2 - 406406*r + 52440 = 0. Calculate r.\nAnswer: -13110, -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 15*v + 9. Let r be o(-7). Suppose 30*c = 34*c - r. Solve 0 = -h - h + c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1850228.\nAnswer: 2, 462557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 178d39?\nAnswer: 178d41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 6*j + 44. Calculate the remainder when j is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -440*z**5\/13 + 526*z**4\/13 + 1680*z**3\/13 - 2110*z**2\/13 + 320*z\/13 + 24\/13 = 0.\nAnswer: -2, -3\/55, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -97. Let a = i + -66. Which is bigger: 20 or a?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11193 divided by -2.\nAnswer: 11193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10257, 10256, 10255, 10254?\n\"Answer: -t + 10258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -244 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 49e + 5?\nAnswer: 4a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 1)*(2*i + 0*i - 4*i) + 40 + 1531*i + 13 - 53 + 4 - 4 + 2*i + (-i + 4 - 4)*(0 - 3 + 1) - 2*i + 6*i - 2*i.\nAnswer: 1527*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2. Let o be (-1 + -2)\/(-1) + 0. Let y(b) = b + 0*b - o*b. What is y(n(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 12*j + 21. Give k(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - 2*g + g. Let q(v) = 5*v. Let w(o) = 12*o. Let p(r) = -6*r. Let d(k) = -7*p(k) - 3*w(k). Let a(x) = 3*d(x) - 4*q(x). Give i(a(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.3 (b) 38 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -445, 1 in ascending order.\nAnswer: -445, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + l**2 - 3*l. Let i be 6 - (6 + -4) - (-12)\/(-2). Let d be w(i). Sort d, 1, 0, -4 in decreasing order.\nAnswer: d, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -1085?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and 1482?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/27)\/(17716\/(-774) + 23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5632*m + 1033*m - 2209*m - 1193*m - 2141*m in the form y + l*m and give l.\nAnswer: -10142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16102 + 16016.51. Let b = -85 - t. Round b to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -51*m - 571. Determine f(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 8 - 6*g + 3*g)*(-50*g**2 + 394 - 394).\nAnswer: 150*g**3 - 150*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3865835 to three decimal places.\nAnswer: 0.387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.1 and 4157.\nAnswer: -66927.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let s be (-1)\/(-1*(3 - 4)). Let o(l) = -2*l. Let k(m) = 2*m. Let i(w) = -6*k(w) - 5*o(w). What is s*i(g) - 4*t(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -9*p**4 + 132*p**3 - 597*p**2 + 990*p - 432 = 0.\nAnswer: 2\/3, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-12))\/(7\/(-28)))\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100011101000 (base 2) to base 6.\nAnswer: 1003052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10391876?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 7*k**2 + k + 5. Let r be p(7). Let b(v) = -2*v + 0*v + 21 + 3*v + r. What are the prime factors of b(0)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.2798 + -4.2798. What is the third smallest value in -1\/33, -2\/41, -0.1, d?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -16*p**3 - 3*p**2. Let u(l) be the second derivative of 11*l**5\/20 + l**4\/6 - 24*l. What is 5*o(w) + 7*u(w)?\nAnswer: -3*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.2 or 1136?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 56*g**2 - 15*g + 24. Let h(o) = -19*o**2 + 6*o - 9. Give 8*h(u) + 3*k(u).\nAnswer: 16*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxxu. What is prob of sequence uu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 3*v + 47. What is k(10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/4 + 3469*j**4\/4 - 2996291*j**3\/4 - 21217477*j**2\/4 + 15834918*j + 20389347 = 0. What is j?\nAnswer: -9, -1, 3, 1738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/59 and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -194 - 290. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - 39*x - 1. Determine z(-20).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*r = 2*z + 13, -r - z + 4 = 0. Suppose -10 = k - 6*k. Let h = 1 + k. Solve -2*s + 2*c = 0, -h*s + r*s + 3*c = 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - c + 3)*(0 + 0 - 2) - 2 - 4*c + 2*c + 6*c + 0 - c + 0.\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 23*l + 1. Let c(t) = 2*t. Let s be c(10). Suppose -s = -g + 3. Let k be w(g). Which is bigger: 2\/169 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.11, 1\/2, 0.1, -3011?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-15 - 3) - (78 + -79).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 1758225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -9. Suppose 5*r + 3 = 4*t - 5, -3*r + 4*t = q. Suppose 5*p - 20 + r = -u, -50 = -5*p + 5*u. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 95 + 10575 = 0. Suppose -5*a + 3176 = u + 532, 0 = 4*a - 4*u - c. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.86 + 4.86. What is the closest to 0 in -2, x, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3701432 divided by -11788?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85.3 - 90. What is the nearest to -1 in x, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (441\/(-210))\/(51\/(-170)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**6\/1440 - s**5\/240 + 25*s**3\/6 - 9*s. Let d(q) be the second derivative of l(q). Factor d(a).\nAnswer: a*(a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2))**(-29)\/(k*k\/k**(1\/4)*k*k*k*k**(-6)))**(11\/3) assuming k is positive.\nAnswer: k**(-583\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*32 - ((-188)\/(-564))\/((-1)\/(-3)). Solve q = -11*j + 52 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9073909 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2310770, 4621525, 6932280, 9243035?\n\"Answer: 2310755*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 700.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 481 and 9859464?\nAnswer: 128173032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -250\/9 + -49\/18. Let x = w - -7011\/230. Is x != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 33\/5 of a millisecond?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36, 74, 112, 150, 188, 226?\n\"Answer: 38*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4107947 weeks to days.\nAnswer: 2.8755629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320023222 + 211233?\nAnswer: -313211323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4554 + -2294. Suppose a = 2*v - 102. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250570148?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of ((-6)\/(-7))\/(3\/((-84)\/(-8)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgttteetgutumeug. Give prob of sequence um.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m + 4. Let i(s) = -6*s - 4. Suppose f = 1 - 6. Let y(l) = f*i(l) - 4*z(l). Let g(t) = -1. Give 6*g(d) + y(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1313 times 0.6\nAnswer: 0.07878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26.041511 and -21.\nAnswer: 546.871731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5361 by 1710.\nAnswer: 1787\/570","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Add 1.2 and 13.708.\nAnswer: 14.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-3) - 4)*-3. Let s be (1\/o)\/(7\/56). Let x(l) = 13*l - s*l - l. Let b(y) = -2*y**2. What is b(x(j))?\nAnswer: -128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: d3 (base 14) to base 2\nAnswer: 10111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.67 + -2.77. Which is the third biggest value? (a) -12 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -w - 12. Let m = -27 - w. Suppose m*a - 97 - 49 = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 8*r**2 + 8*r + 13. Let l be i(9). Suppose -o**l - 3\/2*o**3 - 1\/2*o**2 + 0 + 0*o = 0. What is o?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 4:11 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -335, -564, -803, -1058, -1335, -1640?\n\"Answer: -n**3 + n**2 - 225*n - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5830282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - ((-20 - -5) + 33)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 1990836.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 991 = 31. What are the prime factors of k\/(-18) - (-2)\/9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -7\/60*h**5 - 2\/3*h**3 - 13*h - 1\/120*h**6 - 1\/3*h**4 + 5*h**2 + 0. Let f(y) be the first derivative of w(y). What is f(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**3\/3 - 4*i**2 - 7*i + 4. Let m be o(-5). Suppose -6*u + 2*u = -m. Solve -u*b - 8 + 0 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6969 is divided by 2105?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w + 23. What is the tens digit of d(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**3 + 2*j**2 - j. Let d = 78 - 50. Let g = d - -8. Let n = g + -35. Determine m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*t - 4*t - 18*t to f*t + u and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2056*g = 3575*g + 3463*g + 727372 for g.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -67 (b) -0.5 (c) 1 (d) 5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*g + 2*t + t, 0 = -3*g - 2*t + 10. Let k(y) = -1 - 24*y + 24*y + 7*y**g. Let i be (2 - 1)*(-1 - 0). Calculate k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/17, -138853, 0.07, -5, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-10))\/(6\/6210*9). Calculate the highest common factor of 299 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/6 - 6) + 4\/6. Suppose -2*d - 4*i + 24 = t, 4*d + 5*i = 3*i + 18. Solve 3*y - 3*m - 21 = 0, -5*y + 2*m + 33 = -d*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*w**2 + 3578*g*w - 247*w**2 wrt w.\nAnswer: 4*g - 494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d + 13?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 408 and 1170.\nAnswer: 79560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.116186569 times 2?\nAnswer: -0.232373138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20969 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**8)**22*((f\/(f*f\/(f*(f**(-3\/10)*f*f)\/f)*f))\/f)\/(f*f**(-16\/3)*f))**36 assuming f is positive.\nAnswer: f**(32046\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 2. Let r be v(6). Let y be 9\/6 - (-6)\/(-4). Suppose -o = r*j + 1, 2*j - 6*j - 4*o + 8 = y. Put j, -0.1, -0.4 in descending order.\nAnswer: -0.1, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 17*k**2 + 31*k - 19. What is the hundreds digit of n(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yafaahy. What is prob of picking 2 a, 1 f, and 1 h?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1201245 + -122311?\nAnswer: 1034534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5575a35 (base 11) to base 10.\nAnswer: -9773450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5036 = 310*n - 3334 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/12 - g. Let k(b) = 5*b - 1. Suppose 4 = -3*q - 2. Let a(m) = 5*m - 3. Let o(n) = q*a(n) + 3*k(n). Give o(y(r)).\nAnswer: -5*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77694 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 41007 (base 16) to base 10\nAnswer: 266247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -3. Suppose -2*k - 2*p + 16 = 0, 0*p - 28 = -k - 5*p. Suppose -3*l + 43 = -5*x, -x = 4*l + x - 66. Sort l, b, k in descending order.\nAnswer: l, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**4\/2 - 191*b**3\/2 - 2651*b**2\/2 - 9721*b\/2 + 1771 = 0.\nAnswer: -46, -11, -7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*z - 128 = 7*z, k = -z + 35. Solve 2*t - k = -27 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -10*b**2 - 5*b - 4. Let u(a) = a**2 + a. Determine 2*j(g) + 10*u(g).\nAnswer: -10*g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -24, -3, 4, 1, -42.85?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + 9 + 23 + 13.\nAnswer: -8*h + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225377*d + 112692*d + 112685*d - 42*d**2 + 22*d**2.\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 708234 (b) 2\/19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 48 = -3*r, 2*x - 21 = -r - 4. Calculate the greatest common factor of 12 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**2 - 37*z + 13. Calculate u(-11).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i - 16 = -43*i. Solve -i*f = 4*f - 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 3*u**3 + 2 - 5*u**2 + 4*u**2 - 1. Let q be p(-1). Suppose -9*t + 8*t - 4 = -3*z, -z + 20 = -3*t. Put -3, t, q in decreasing order.\nAnswer: q, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 946 divide 34485695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6*m - 2*b + 34 = 0, 3*b = 3*m - 45. Solve -6*z + 10*z + m = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 38*m**3 - 5*m + 6. Let v be s(1). Let k(c) = -c**2 + 36*c + 119. Let i be k(v). Solve h + h = -i*w - 6, -4*w = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 87.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -159, -217, -299, -405?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-1)\/((-1)\/6). Suppose n*d = 1 + 7. Suppose -1 = -f + d. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42, 0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3210*o**3\/17 + 73181584*o**2\/17 - 417098506402*o\/17 + 519748804\/17 = 0.\nAnswer: 2\/1605, 11399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 185096985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 83*x**3 - 90*x**2 - 504*x.\nAnswer: x*(x - 3)*(x + 2)*(x + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18634 + 18634 - 283*o + (1 + 0 + 1)*(-4*o + 0*o + 2*o) + 2*o - o - 5*o + 2*o - 4*o + 3*o - o - 4*o + 4*o.\nAnswer: -291*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 524 (base 7) to base 14\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, i: 4, u: 7, g: 5}. Give prob of picking 1 g and 1 e.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17253*m**2*p - 186*m*p - 10*m - p wrt m.\nAnswer: 34506*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4938399954 - -426?\nAnswer: 425.5061600046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 15*u - 29. Give m(-14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2070*c**3 + 996*c**2 - 4. Let z(h) = 8279*h**3 + 3982*h**2 - 18. Let i(m) = 9*q(m) - 2*z(m). What is the third derivative of i(d) wrt d?\nAnswer: 12432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 691 + -519. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/71 (b) 66 (c) 12 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 11*b = 8. Suppose -4*w = 4*d - 16, w - 12 = -b*w + d. What is the first derivative of -w - 37*r**4 + 27*r**4 + 0 wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3843902 (b) 4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 16) + 15 - (13 + -2 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-24)*(u*u\/u**(2\/13)*u)\/u assuming u is positive.\nAnswer: u**(-288\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrzr when four letters picked without replacement from {z: 2, r: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110459492 and 9152.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 84 from -0.5.\nAnswer: -84.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*h - 725 = 0, -10 = 5*h - 10*h. Suppose 2*d = -q + t, -3*q - 4*d = -427 - 1720. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1120 divided by -1120.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 21219843 to the nearest 10000.\nAnswer: 21220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 28 times -0.8\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*v = 48*v - 972. Suppose 0 = -v*a + 165*a - 2499. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d**2 - 19891*d - 5. Let q(c) = 13*c**2. Determine g(q(w)).\nAnswer: -1183*w**4 - 258583*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2523 + 2554. Suppose 7*x - 200 = -3*u + 2*x, 0 = 3*x - 12. What is the remainder when u is divided by f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16745*m**2 + 16738*m**2 + 2*m**3 + 0*m**3.\nAnswer: 2*m**3 - 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 7. Let q be 15\/2 + (-27)\/18. Determine y(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 437 and 3.\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 17*p**2 + 48*p**2 + (-9*p - 36 + 36)*(-1 + 2*p + 1).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 2*h - 3. Let f(x) = x**3 + 35*x**2 + 174*x + 8. Let d be f(-6). Let u(p) = -4 - 2*p**2 + 5*p - 1 - 2*p. Give d*w(m) - 5*u(m).\nAnswer: 2*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) 0.2 (c) -6\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58049\/203196 - 1\/29028. Which is the nearest to y? (a) -1159 (b) -3\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -6\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -x + 3*x - 2*w, -4*x - w = -32. Calculate the highest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Let u be b(-2). Let i be 3\/((0 - u)\/2). What is the units digit of -1 + -2 - (i + -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2549320 and 1019728.\nAnswer: 5098640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42702 + -21876445\nAnswer: -21833743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, c: 2}. Give prob of sequence cc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 - 112.6. Sort w, -2\/5, 0.3, 1\/6 in descending order.\nAnswer: 0.3, 1\/6, -2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 8*v = -2*q - 2268, -4*v = -4*q + 4536. Let i = 1848 + v. Is i a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2385002093?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 114, 117, 122, 129, 138?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-28)\/(-6))*343\/294\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.8 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*z - 0*z. Suppose 0 = -2*m + z + 5. Calculate the lowest common multiple of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - q. Suppose -2*m + 5*m - 9 = 0. Suppose -4*v + m*w - 8 = -3*v, -v + 2*w - 5 = 0. Give t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(2*b - 4 + 4)*(5*b + 3*b + 2*b).\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -4b9715?\nAnswer: 4b9715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 27 - 31 = -3*u, 5*u + 2*q = 94. Let t(n) = -u*n**2 - 1 + 1 + 17*n**2. Let z(s) = 8*s**2. Give t(z(k)).\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6503 divided by -9.\nAnswer: 6503\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 3*k**3 - 10*k**2.\nAnswer: k**2*(k - 2)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34555 is divided by 4249?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, 2.2, -5\/2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 72 + 0*n + 6*n - 7*n - 3*n as g + i*n and give g.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 25 - o + o**4 + 2*o**3 + 8 + o**4 - 3*o**2 to the form u*o + j*o**2 + i*o**3 + r + f*o**4 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 4*y**2 - 6*y - 5. Let d be m(-5). Suppose 6*s - 2*s - 8 = d. Suppose -s*a + 12 = a. Solve 10 = 5*x, 4*u - 6*u + 5*x = a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 2*f**2 - 3*f. Let u(y) = y**2 + y. Suppose -3*i = -2*a + 15, -a + 18 = a - 4*i. Suppose 0*c + a*c = -3, 2*c = -5*j + 3. Give j*h(b) + 2*u(b).\nAnswer: -b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235 - 147. Suppose -4*f + 133 = -f + 2*z, -2*f - z + l = 0. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 84618, 169081, 253544?\n\"Answer: 84463*x + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 25*i**2 + 13*i - 28. Give y(2).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*(4 - 0). Let w be 0 - (-6 - a - 0). Let g(r) = r**2 - 4. Let o(v) = v**2 + v - 5. Let q(p) = -6*g(p) + 5*o(p). Calculate q(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 8*q - 8. Let x be (3 + 2 + 1)\/1. Give h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564 + 1734 = -185*j - 495 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4238819.\nAnswer: 13, 326063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*q = 306*q + 2989 + 191 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4 + 6\/4. Suppose l*b + 2228 = 7*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11197 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*p = -1864*p + 898*p + 31400 for p.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2747, 10673, 23259, 39995, 60371, 83877, 110003?\n\"Answer: -85*f**3 + 2840*f**2 + f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3361009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1409 - -1409. Solve j = -7*a + a - 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (123\/(-164)*(-28)\/(-6) - -3)*(-100)\/(-2250)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.030094 to zero dps.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 347506, 348389, 349272, 350155, 351038?\nAnswer: 351921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**2 + x + 1. Let v(r) = r + 1. Let i be ((-2)\/9)\/(24\/(-108)). Determine i*v(d) - k(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1605 (b) 0.4 (c) -14 (d) 0.2 (e) -6 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, r: 11, b: 1}. Give prob of sequence lrrr.\nAnswer: 385\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -116056666 - 4?\nAnswer: -116056671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = -56. Let c = 43 - 27. Let r = c - o. Solve -4 = 2*w - 2*m, r = -3*w + 5*m - 0 - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 211 + -19. Suppose -t - q = -5*t. Calculate the smallest common multiple of t and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*v + 31 = 0, -4*v + 10 = -2. Suppose 0 = 4*m + j*y - 116, -m + 6*m - 161 = -y. Calculate the remainder when m is divided by ((-17)\/(-4))\/(2\/8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4841.694 rounded to the nearest 10?\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 114 = -15. Let q = f + -3. Calculate the highest common divisor of q and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/4 - 1 - 46 - -1. Let h be (-8)\/a - 29*(-1)\/6. Let j be (5\/2)\/(1\/2). Solve j*k + h = -0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*y = 123*y + 121*y - 1419944. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.104 times -32?\nAnswer: 35.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4357.26837ns in weeks?\nAnswer: 0.000000000007204478125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6403005 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 16*d**2 - 7*d**2 + 7*d - 8*d**2 - 1 - 6 as w*d**2 + f*d + a and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-12))\/(33\/36*(-390)\/(-1430))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 258, 513, 734, 921, 1074, 1193, 1278?\n\"Answer: -17*y**2 + 306*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 6*d - 1. Let v(c) = -6 + 12*c - 11*c + 17. Calculate the lowest common multiple of y(-9) and v(-5).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from vmmvgmmugmmmvmvnmm?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27980 divided by -6995?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 * -3480419.5\nAnswer: -591671.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (245 + -198 - (-25 - -3)) + -20.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 38480 - 38450 = 0. Let p(o) = 17*o**3 - 4*o**2 + 3 + 4*o**2. Does 35 divide p(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2950 divided by -25\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20874 by 6613.\nAnswer: -20874\/6613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 17*f - 3. Let l(a) = -16*a - 18. Let x(v) = l(v) + z(v). Let d(t) = -4*t + 64. Calculate 2*d(p) + 7*x(p).\nAnswer: -p - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - s + 10, -4*v + 2*s = -190 + 126 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by 192\/104 - (-4)\/26.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 2*b + 19 + 4\/3*b**2 + 2\/9*b**3. Factor n(j).\nAnswer: 2*(j + 1)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -26*f + 20. Let d(t) = 9*t - 7. What is -17*d(b) - 6*p(b)?\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1896009 and -42?\nAnswer: -79632378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 3*z**2 - 4*z - 4. Let t = -10 + 6. Let w be s(t). Let c = w + 0. Let i(m) = m**2 + 5*m + 5. Calculate i(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 970571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1343, 1348, 1355, 1364, 1375, 1388?\nAnswer: 1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13618 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-8 + 2 - -1). Let s(g) = -5*g**2 - 2*g + 1. Let j(o) = -5*o**2 - 2*o + 1. Let u(q) = p*j(q) - 3*s(q). Determine u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, 72, 201, 372, 579, 816?\n\"Answer: -g**3 + 30*g**2 - 2*g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1602312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (594\/165)\/(38\/75) - 7. Put 9\/7, a, 0.3 in descending order.\nAnswer: 9\/7, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = y - 4331, -2*o + 4*y + 4346 = -0*o. What are the prime factors of o?\nAnswer: 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -570 (base 9) in base 4?\nAnswer: -13110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**4\/4 + 4*o**3\/3 - 7*o**2\/2 - 6*o - 1. Suppose -d + 4*r = -3*d + 6, -2*r = 2*d + 2. What is k(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 18. What is the remainder when (-3 - -1)\/((-2)\/21) is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2391 - 0.3.\nAnswer: 2390.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 1\/10*s**3 + 0 - 216*s + 9\/5*s**2 - 1\/20*s**4. Let w(d) = 0. Calculate d.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1906001975 + -1906002015.00000124. Let w = -5.3 + 45.3. Let c = r + w. Round c to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6 = 4*z - 10*u, 4*z + 2 = 3*u. What is the least common multiple of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -8b195e?\nAnswer: 8b195d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5721 is divided by 1430.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*p - 40 = 0, -5*s + 2*p + 55 = 6*p. Suppose s = -5*n, 4*d = 2*d + 3*n - 639991. What is d rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 - 7*u - 1. Let g be d(6). Suppose 3*l - 3*o - g = -20, 0 = 5*o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 23. Let i(a) = a + 25. Let x(w) = 6*i(w) + 5*k(w). What is the remainder when 302 is divided by x(-17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrfmtfrzzr. Give prob of sequence rm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 169\/52 - 3\/(-4). Suppose 0 = g, -2*g - 1172 = f*x - 8*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*x*z**2 + x*z - 663*x - 10*z**2 + 4*z wrt z.\nAnswer: -82*x - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4060785 or 4060788?\nAnswer: 4060788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171 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: Let f = 0.0646 - 0.1646. Let u = 3 - 3.5. Let r = 1.74 - 0.74. Which is the nearest to r? (a) f (b) -1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 18*q**2 - 18*q. Let z be m(-18). Let a be ((-36)\/21)\/(111\/(-777)). What is the greatest common divisor of a and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**3 - 2*s**2 - 2*s - 3. Let k be o(-2). Let l = k + -25. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631*k = -57955 + 3058 for k.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:29 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/7)\/p)**(2\/45))**(7\/11) assuming p is positive.\nAnswer: p**(-16\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140 + -1004054?\nAnswer: -1004224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11f (base 16) to base 9\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -9561*b + 9386. What is s(1)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -52. Let i be -4*(4 - 7 - l). Solve i*c + 8 = -4*r, -c - 2*c + 5*r + 18 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8982 is divided by 898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58631, -117263, -175895, -234527?\nAnswer: -293159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a87 (base 14) to base 6.\nAnswer: -34155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-519)\/(-12) - (-2)\/(-8) is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74.4 - 5.55746.\nAnswer: -79.95746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooococooo. What is prob of picking 2 c and 1 o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.080042 and 1.\nAnswer: 1.080042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 27*f + 149. Calculate the least common multiple of z(-5) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**2 + 15723*a - 80301540 = 0.\nAnswer: -8420, 3179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 10:37 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 103 = 5*v, 3*v + 70 = 5*b - 305. Suppose 4*q + 3*f - 5420 = 0, 0 = -2*q - 4*f - b + 2778. Suppose 19*y - 26*y + q = 0. List the prime factors of y.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212 + 213. Does 3 divide ((-252)\/48 - -5)\/(k\/(-844))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by -3.\nAnswer: -98\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -22\/3*u - 28\/3*u**4 + 20\/3*u**3 + 80\/3*u**2 - 52\/3 + 2\/3*u**5 = 0.\nAnswer: -1, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - (11 + -12 - 16 - 5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -9, 7, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**8\/1176 - 8*o**7\/245 + 51*o**6\/140 - 61*o**5\/105 - 67*o**4\/7 - 24*o**3 - 632*o**2. Find t such that a(t) = 0.\nAnswer: -1, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**5 + n**3 - n**2 + n + 1. Let o(k) = -k**5 - 8*k**4 + 4*k**3 + 10*k**2 - 5*k - 2. Let h(i) = o(i) + 2*q(i). Find j such that h(j) = 0.\nAnswer: -3, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - sqrt(360)*1*-4 - sqrt(360) - sqrt(360))\/(sqrt(12)*-2*3))\/((sqrt(200)\/sqrt(4)*-5)\/(sqrt(5) + (2*sqrt(245) - sqrt(245)))).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*((sqrt(1900) - -5*sqrt(1900)*5) + -5 + -3 + sqrt(1900)) + 4)**2.\nAnswer: -2540160*sqrt(19) + 797856016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721556961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27845 is divided by 9233?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g + 134 + 13*g - 86 + 147.\nAnswer: 32*g + 195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24093791245.276 take away 0?\nAnswer: -24093791245.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = -2*o, -149*a + 147*a - 3*o + 8 = 0. Suppose 4 = g, -3*g + 1 = -2*u - 7. Solve 3*m + a = -8, -u*m = 2*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 111?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -191 - -294. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.46 and -1610.7?\nAnswer: 3962.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9 - 2*l + 0 + l. Let b be p(6). Suppose -1645 = 2*u - 3*h, b*u - 2*h + 1469 = -1011. Round u to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (50019\/2)\/(-6 - -3)*-26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u - 48. Suppose 3*r - 3*z + u = 0, -3*r - 5 = -2*r - 2*z. What are the prime factors of 26\/3*r\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 + 85686*u**2 - 85692*u**2 - 108*u + 8824*u**6 + 4 wrt u.\nAnswer: 1058880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -871017, -871019, -871021?\n\"Answer: -2*b - 871015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1.2, -4, -1\/3, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (-20 - -45 - 10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -8. Suppose -3*b - 5*g + g = n, -2*b - 31 = -3*g. Is b > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15028 is divided by 7203.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -385764 < -385744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 300 (b) 3\/11797 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-5))\/q)**(-4\/5)\/(((q**(-1\/4)\/q)\/q)\/q**(-2\/5)) assuming q is positive.\nAnswer: q**(-43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 41*m - 139. Suppose 0 = -4*r + 8, 0*x + 5*x + 4*r = -102. Calculate the remainder when (-1408)\/(-15) - x\/165 is divided by a(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 0*w - 4*w + 24 = 0, 9*w + 43*w - 292 - 284 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 45*u - 12. Let l(c) = -944*c + 256. Let o(f) = 3*l(f) + 64*p(f). Let h(t) be the second derivative of -t**4\/4 - 3*t. Determine o(h(a)).\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*g - 76 = -4*k - 61*g, -74*k = 4*g + 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12082.\nAnswer: 2, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472 + 1943 - 491 - 489 + d**2 - 491.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36734 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 16. Let q be (b\/10)\/(-5)*-14. Which is smaller: 8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -12, 5, 40, 99, 188, 313, 480?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus 287?\nAnswer: -286.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w + 0*w)*(2028*w + 10257*w + 7497*w - 3012*w + 15556*w + 11495*w).\nAnswer: 43821*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27069 - 27100.802. Let t = w - -32. What is t rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 + -1) - (29 + -134 + -15 + 46).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by -2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*y, 3*u - 3 = -4*y + 7*y. Suppose -2178 = -u*d - 4*a, 9*d - 4*a = 5*d + 4416. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 620\/248*(-8)\/(-10). Let d(o) = o**2 + 6. Let f(h) = 5*h**2 + 25. Let r(j) = -j**3 - 5*j**2 - 4*j - 9. Let z be r(-4). Determine i*f(l) + z*d(l).\nAnswer: l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -14. Let y = v - 10. Let m = -0.1 + 0.1. Which is the smallest value? (a) m (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207726873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 217, 379, 541, 703, 865?\n\"Answer: 162*u + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14890056 is divided by 1908.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(539) + (sqrt(22)\/sqrt(2))**2 + -4.\nAnswer: -42*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1350681*q*v**3 + 22710*q*v**2 + 2*v**2 wrt v.\nAnswer: 8104086*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 10:13 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(19))*-1*2)**2.\nAnswer: 24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323327.46964 + -0.2?\nAnswer: 323327.26964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeagdugv. What is prob of sequence va?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1681626*p*u**3 + 46*p*u + 2*p + 12*u**3 - 5099*u - 2 wrt u.\nAnswer: 10089756*p*u + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/(5\/30). Suppose 0 = 2*x + 34 + 54. List the prime factors of (4 - x)\/(y\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34282 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 408879?\nAnswer: 204439.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/3 - 34*b**4\/3 + 68*b**3 - 512*b**2\/3 + 448*b\/3 = 0 for b.\nAnswer: 0, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s + 20. Determine g(21).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1058 = 4*c, -3*c + h - 1319 = -8*c. Let r = -28 + c. List the prime factors of r.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13822791*u*z - 14183*z + 40 with respect to u.\nAnswer: -13822791*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171)*-1 + sqrt(171) + (sqrt(171) - -3*2*sqrt(171)))\/(3*(sqrt(81) + sqrt(81)*2) - (sqrt(81) + -3*2*sqrt(81) + sqrt(81))).\nAnswer: 5*sqrt(19)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 81 = 2*d, 3*k + 4435 = -2*d + 4482 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1586.9 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -429*c**3*v**2 - c**3*v + 44*c**3 - c**2*v - 28*c*v**2 - 2*c*v - 19 wrt c?\nAnswer: -2574*v**2 - 6*v + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r - 425. Give d(110).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*a - 0*a. Let j be -4*1*(-3)\/a. What is the second derivative of 0*r + r**j + 2*r - 3*r wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 232, 2228, 7656, 18238, 35696, 61752, 98128, 146546?\n\"Answer: 287*u**3 - 6*u**2 + 5*u - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2071 - -2114. Let i(h) = -6*h + 5. Let d be i(2). Which is bigger: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -264?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 12 = 3*q. Solve 2*w - q + 19 = 3*h, 2*w - 5*h + 23 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d - 2*j = 0, 10 = 4*d + j. Suppose -d*c = 2*c. Let w be 2\/3*(3 + c). Solve -w = -4*i - 22 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 226 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 6 = -2*w. What is the units digit of w - (-5 + -1)\/2 - -116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -23\/3 (c) -2\/359 (d) -5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -6 + 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, 2\/3, -936?\nAnswer: -936","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 19*w - 6*w - 15*w**2 - 11*w - 30 - 8*w - w**3. What is the hundreds digit of p(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56.4 - -52.4. What is the closest to 2\/39 in 5, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/21*(-3)\/2. Let x be (t + 134\/66)*(-23 - -20). Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8 - (-52)\/80?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5005253.\nAnswer: 11, 229, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j - 25. Let i be 280 - -2*j\/(20\/8). Let v = -139 + i. What are the prime factors of v?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 374 and 3672.\nAnswer: 40392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2390*z**3\/7 + 296196*z**2\/7 + 319086*z\/7 + 20500\/7 = 0.\nAnswer: -1, -82\/1195, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 4*m - 3. What is the remainder when r(-4) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 - 3*x + 4. Let b(u) = u**2 - u + 1. What is -6*b(w) + 2*k(w)?\nAnswer: 4*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.55\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1912233 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4166 and 2526679.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-756)*14)\/((-3)\/(-279)*-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1349389*q**3 - 113001*q.\nAnswer: 8096334*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.322 - 0.262. Suppose 54 = -0*j + 3*j. Let k be j\/22 + 0 + -1. What is the fourth smallest value in 0.3, 5, k, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (0 + 4 - 10). Suppose 22 = n*j - p, 4 = 2*j - p - p. Suppose 0 = -j*i + 22 + 8. Solve 0 = -m + 2*y - 1, 5*m - i = -5*y + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -205*o + 1318. Let v be p(6). Calculate the highest common factor of 473 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138869 is divided by 978.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 9:42 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -17*r**3 - 8*r**2 + 9*r + 1. Let b be (4 - 1) + -36 + 31. Let z(d) = -4*d**3 - 2*d**2 + 2*d. Calculate b*j(a) + 9*z(a).\nAnswer: -2*a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21.197 and -1.354?\nAnswer: 19.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -1 - ((-20 - -14 - 15) + 7).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8283251 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 3*h + 2*m, 20 = -h + 3*m - 30. Suppose 157*p + 29*p = -6324. Are p and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 23. Let d(w) = 2*w**2 + 2*w - 3. Let p be d(2). Let k be q(p). What is the units digit of (-2)\/7 + (-102)\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 f, and 1 e when four letters picked without replacement from aaefa.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 45612 = -34988. Let t = u + 35877. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 2*j**2 + 9*j + 7. Let p be 5 + (-3 - (9 - 3)). Let f be s(p). Solve 0 = -f*m + 8*m + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 33 = 33. Suppose 0 = -w + n + 3 - 2, u = 4*w + 3*n - 39. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/3)\/(k\/k**(-2\/23)*k) assuming k is positive.\nAnswer: k**(-167\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifgm when four letters picked without replacement from {d: 1, z: 2, g: 6, f: 4, i: 1, m: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 12. Let l be f(15). Suppose -l*q - 11 = -17. Let o be q\/(-20)*75\/(-30). Which is the second biggest value? (a) 9 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -32. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - 10)*(28 + -2). Sort -1\/2, i, 0, -1\/4 in increasing order.\nAnswer: i, -1\/2, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -7 - 8, 0 = -5*b + 2*q - 26 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 2*u - 93, -20*d = -24*d + 2*u - 54 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*u - u - 3*y, 0 = 4*y + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5836 + 5836 - 43036*u.\nAnswer: -43036*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1300, -2520, -3740?\n\"Answer: -1220*d - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 278131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = p - 47 - 21, 0 = -4*n + 3*p + 82. Suppose s = -2, 23*z = n*z + 3*s + 540. Is z a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.8 - 18.8. Let s = 7 - -38. Let a = 45 - s. Which is smaller: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**7\/42 + o**3\/2 + 5*o + 3. Let w(a) be the first derivative of n(a). What is the second derivative of w(x) wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u + 745516 = 2735235. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (16 + -7 + 7 + -8 - 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154.7736 + -155. What is y rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + j - 10. Let n(k) = -3*k**3 - 2*k**2 - 3*k + 3. Let r be n(1). Let b be o(r). Solve 0 = 4*z - 9*z - b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4840) - (sqrt(4840) + 2*sqrt(4840)*3))\/(-4*sqrt(648)*2 - sqrt(648)) + -5.\nAnswer: -5 + 22*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f**2. Let z be (6\/2)\/((-12)\/(-1300)). Suppose i - 65 = -p - p, -5*p + z = 5*i. Let x(t) = -i + 65 - t. Calculate j(x(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 158186289 to the power of 1\/3, to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127.35 + -127. Let h = 0.35 - i. Which is the nearest to h? (a) -4 (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3 + (-20)\/(-24))*-286. Let a = -140 - x. Solve 9 = -l + 4*d, -l - a*d + 8*d = 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 - 68.4.\nAnswer: -156.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from ggghhghgggvgggggghgh.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 2. Let w be m(4). Let x be 4\/(-14) - 4*(-3)\/42. Suppose -5*v - 5*g + g = 0, -4*v + g = x. Solve v = 2*j + 4*t - 18, -2*j + 0*t + w = t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 = 4. Let i(h) = h**2 + 3*h + 1. Let d be i(r). Suppose -d = 3*l - 61. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 31\/2. What is the second smallest value in 8, -2\/5, x, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d**4 + 5*d**2 - 4*d + 4. Let r(n) = -7*n**4 - 6*n**2 + 5*n - 5. Let p(u) = -4*r(u) - 5*t(u). What is the third derivative of p(x) wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/18)\/((-2)\/678). Suppose -4*w + 5*w - t = 2*q, 242 = 2*w + 4*q. Suppose -3*f + 78 + w = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36996568 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27230 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 + 28*s - 2 + s**2 - 17*s.\nAnswer: (s - 1)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 10*t - 6. Let m be (-24)\/20*(-15)\/(-2). Let n be j(m). What is the second derivative of -n*f**2 - f**2 - 5*f - 5*f - f wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*k = 27*k + 75 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 8995 and 1309858.\nAnswer: 1318853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2\/5, -2\/7, 1\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70643*w - 172738.\nAnswer: -70643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 1. Suppose -4 - 11 = -w*t. List the prime factors of ((-44)\/(-12))\/(1\/t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 1 f when three letters picked without replacement from {d: 1, n: 4, a: 1, x: 3, w: 2, f: 7}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6375 and 16043250?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4123 - 0.1877. What is the second smallest value in -3\/4, 10, 1, q, -1\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/5)\/l*l\/l**(-1\/9))**(-20\/7)*((l*l**(-2)*l)\/l)**22*l**0\/(l\/((l*l**(-7))\/l)) assuming l is positive.\nAnswer: l**(-2054\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/6 + 1793*a**3\/2 - 2408445*a**2\/2 - 7241481*a\/2 = 0. Calculate a.\nAnswer: -3, 0, 2691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 38, 29, 26, 35, 62, 113?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 122796119 + -29.7?\nAnswer: 122796089.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(8\/5)*i**(-3)*i*i*((i**(-6)*i)\/i)\/i*i\/i**2)**48 assuming i is positive.\nAnswer: i**(-1776\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5434 = -253*k + 396*k for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 887*n*p*x*z**2 + 19*n*p*z**2 + 8*n - 51*p*x*z**2 - 44*p*x - p - 2 wrt n.\nAnswer: 887*p*x*z**2 + 19*p*z**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 9*n**2 - 19*n - 8. Let q be j(12). Is (2 - 30\/(-35))\/(8\/q) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**6\/780 + 46*m**5\/65 + 188*m**4\/13 + 4544*m**3\/39 + 2*m**2 + 353*m. Factor t(n).\nAnswer: -2*(n - 284)*(n + 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvvvzzzvzz. Give prob of picking 3 v and 1 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-1899)\/(-488)) + 3. Let z = 62\/14945 - -3\/245. Let f = z + t. Is 1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**2 + 1. Suppose -g - 1 = -5. What is the remainder when c(-1) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719028.\nAnswer: 2, 367, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91432 - 7.\nAnswer: -91439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 706, 1475, 2238, 2995, 3746, 4491, 5230?\nAnswer: 5963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 1. Let b(d) = 2*d + 5. Let m(n) = -n - 3. Let a(z) = 4*b(z) + 9*m(z). Let p be a(-7). What is v(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.182 * -2.\nAnswer: -0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**0*x*x**(3\/2)*x**36*x**(-3\/11) assuming x is positive.\nAnswer: x**(841\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 4*u + 4*s + 118435, -s + 94727 = 4*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34181388919.016 take away 0.05?\nAnswer: -34181388919.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1784 + -4cd7?\nAnswer: -656b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {l: 2, o: 2, p: 2, t: 3, c: 3, a: 4}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffl when four letters picked without replacement from {l: 1, f: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 2. Let v = s + 2. Let l = v - -9. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2907*q**3 - 1666698*q**2 + 2227392*q - 13728 = 0. What is q?\nAnswer: 2\/323, 4\/3, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-4)\/(24\/10). Let u be y*(6\/(-5))\/3. What is the units digit of u\/(1 - (-11)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -11744?\nAnswer: -1\/5872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 461, 897, 1315, 1703, 2049, 2341, 2567?\n\"Answer: -2*f**3 + 3*f**2 + 441*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317945.\nAnswer: 5, 63589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3874267 take away -19364592?\nAnswer: 23238859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 149*k**2 + 459*k - 448. Suppose c + 3*c = -24. What is the least common multiple of 2 - 1\/(2\/c) and m(152)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 991 divide 1452404600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v - 56. Let h(u) = -u**2 - u. Let w be 51\/(-15) + 4\/10. Determine w*x(p) + 2*h(p).\nAnswer: -2*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 + (-20)\/(-15). Which is the second biggest value? (a) m (b) 0.2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 8. Let g = h - -5. Solve -g + 4 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-1)\/((-15)\/627). Let l = r - 41. Is l greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (384\/(-18240))\/(7\/133).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o - 393. Give a(-57).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-700300)\/6)\/((-280)\/(-2016)*3\/50). Round c to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -21, -5, -1 in increasing order.\nAnswer: -21, -5, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 1\/284478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*k + 8. Suppose -k*f + s = -45, -4*s = 2*f - 4*f + 26. Suppose 5*x - 14 = f. What is the remainder when 8 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.4, 0.3, 1631, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-626)\/(-4069))\/((-72)\/(-390)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(375\/40))\/((-6)\/30). What is the nearest to -5 in k, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8819 + -41a4?\nAnswer: 4635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1113 - -1112.7. What is the smallest value in 0.13, -4\/3, r?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -2 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (6 - (-8 + 7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-12) - 0)*(4 - 0). Solve a = 2*a - v*j, -2*a = 3*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-5) - 2\/10. Suppose 17 = q - 5*q + v*n, 3*q - 4*n = -14. What is the lowest common multiple of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from {c: 1, u: 18, h: 1}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74003739, 74003729, 74003719, 74003709?\nAnswer: 74003699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706*d - 18336 - 14592 = -20*d for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15440547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = -5*v + 13, -5*v + 25 = -5*c. Let d(w) = w**3 + w**2 + 2*w + 2. Let r be d(-2). Let y = v - r. What is the highest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*z + 3004 = 0, -5*z + 4918 = 5*a - 2642. Let u = 4116 - a. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32126676.\nAnswer: 2, 3, 23, 43, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 567.774 centuries?\nAnswer: 5677.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -4. Let l(s) = -13*s - 3. Let z(b) = 6*b + 14. Let p(u) = -5*u - 18. Let o(x) = 3*p(x) + 4*z(x). Calculate n*l(t) - 7*o(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 2*y - 2, 3*y + 3 = 11*l - 13*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 10. Let k be (20\/(-6))\/((-4)\/6). Let t(p) = -259*p + 8. Let d(g) = 104*g - 5. Let c(z) = 5*d(z) + 2*t(z). Determine k*a(x) + 6*c(x).\nAnswer: 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c58a89 (base 13) in base 9?\nAnswer: 8617257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34303 - -34311 - (2 - 13 - (-1 + 3))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 12, -3 = l + 5*i - 18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 963431\/110 - 8759. What is the common denominator of 91\/250 and o?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 22. Solve -n*w = l + 1, 0 = -2*l + 3 - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63229512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 4*w - 4. Let n be k(7). Let l = n - 7. Calculate the least common multiple of l and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 4. Is (1\/(-1))\/(o\/(-144)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2 = -5*k, -3*k - 8 = -x + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81052275516.91 - -110.\nAnswer: 81052275626.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (4 - -2)\/2. Suppose 2*w + s*z = -42, 3*w + 4*z + 39 + 20 = 0. Let h = 26 + w. Solve 0 = 3*c - 2*k - 3 - h, -3*c + 3*k + 15 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n - 14 = f - 17*n, -3*n = 4*f + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 194 in decreasing order.\nAnswer: 194, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3547*o - 2068?\nAnswer: 3547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert fb (base 16) to base 12.\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.25 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, -1\/2, -5.\nAnswer: -5, -1\/2, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-44) - (-15)\/(-33)*-4. Let k(h) be the first derivative of -h**4\/4 + 2*h**3\/3 + 3*h**2\/2 - h - 6. Let l be k(a). Solve 11 = -l*v - 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.197 minus -3053748.6?\nAnswer: 3053751.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 23 = -q, -3*q - 54 + 67 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 + 32*v**3 - 28*v**3 + 46*v**3 to t*v + a*v**2 + j*v**3 + m and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 2*w**3 + 2*w**5 - 124028*w**2 + 124028*w**2 - 6*w**5 - 2*w + (3*w**5 + 2*w**2 - 2*w**2)*(4 - 2 + 1).\nAnswer: 5*w**5 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 4*a - 120 = 3*u, 132 = 3*u + 4*a. Calculate the greatest common divisor of 1182 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/(-16)) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 10:41 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63148703447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -286379790 to the nearest 10000.\nAnswer: -286380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p + p**3 + 5*p)*(-3*p - p + 5*p) - 2*p + p**4 + 2*p - 6*p**4 + 2*p**4 + 3*p**4 as x*p**3 + i*p**4 + y*p**2 + j*p + s and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -8107557, 3 in increasing order.\nAnswer: -8107557, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/92)\/((-6)\/(-116)*(-1)\/(-3)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 8:29 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - 25 - (11 + -11 + (-12 - -107)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inqpfff. What is prob of picking 1 p, 1 i, and 1 f?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 109bb0c (base 13) in base 7?\nAnswer: 61301441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -563*d**3 + 156*d**2 - 36*d**2 + 886*d**3 wrt d.\nAnswer: 1938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3 (c) -0.057 (d) -2\/9 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.53 + -1.13. Let z = 11 + -5. Let v be ((-2)\/6)\/(7\/z). Put s, v, 5 in descending order.\nAnswer: 5, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11868 divided by 2531?\nAnswer: -11868\/2531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (116\/(-10))\/((-3)\/15). Suppose 5*b - 2*a = i, -5*b + 65 = 5*a - 0*a. Let x be 32\/b*(-6)\/(-4). Solve 0 = -4*l - 5*y + 9, -x*l = -y - y - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 4. Let a be z(-4). Let u = 3 + a. Suppose 5*k = -u*g + 12, g + 0*g - 6 = -k. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 - 82*n + 503. Determine w(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*s**2*u**3 + 3*s**2*u - 81*s**2 - 2*s*u - 5*u**3 - u**2 wrt u?\nAnswer: -36*s**2*u - 30*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f*(f\/(((f\/((f**(-5\/7)*f)\/f))\/f)\/f))\/f)\/f)))**(2\/7) assuming f is positive.\nAnswer: f**(4\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -13545 = -14192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.175 - -12.575. Let y = -12.2 + a. What is the closest to 0 in 0, 2, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -23*u + 266. Suppose 7*t = 6*t + u. Suppose 0 = -m - t + 143. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -65*z**2 + 24*z**2 - z + 40*z**2 + z**3 - 2*z - 3. What is c(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98 - 75) + 12 + -12.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = g + 3*i + 313, 0 = -g - 5*i + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 + 2*h**2 + 2. Let o(t) = -49*t**3 + 21*t**2 + 21. Determine 21*f(y) - 2*o(y).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86*f**3 + f**2 + 72*f.\nAnswer: -516*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 0\/2 + -1. Let x(f) = m - f + 0. Let l(t) = -2*t + 3. Let d(z) = -z + 1. Let n(u) = -3*d(u) + l(u). Determine x(n(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 6. Let v(x) = 3*x**2 - 1. Let n be v(-1). Let b(h) = -1 - 3*h**2 - h**3 + 3*h**n. What is b(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvmhx. What is prob of picking 1 n and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o + o)*(1 - 5 + 0) + 0*o + 3*o - o + (-o - o + 4*o)*(-2 + 3 + 1) + 3 - 3 - 2*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 1034038622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3059448 divided by -509908.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (176\/(-33) - -4) + 20\/6. Suppose 7*g = 2*g. Put g, d, -2, 3 in descending order.\nAnswer: 3, d, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-3) + (0 - 3). Let x be 513 - (5 + -6)*(k + 0). Let h = -356 + x. List the prime factors of h.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1870)\/(-255))\/22 - (835\/3)\/(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13c06 (base 15) to base 9.\nAnswer: -106036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -19.481.\nAnswer: -9.7405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 3 + -4 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.363683 rounded to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -18*n**3 + 2*n + 1. Suppose 11 = g + 12. Is d(g) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2249 + 3541. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3968 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egswwsoem. Give prob of picking 1 e and 1 m.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1598626 - -816626. Round g to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s - 1. Let u = 13 - 9. Let h be v(u). Is 18 a factor of (-8)\/20*-5*h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(684) + 2 + sqrt(684)))**2 + 4 - (3 + sqrt(2299)*1 + sqrt(2299))*-2.\nAnswer: 1772*sqrt(19) + 98650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 1 + 5 + (4 - -2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 199857046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**4 - 8*l**4 + 244*l**2 - 260*l**2 wrt l?\nAnswer: -216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 4701 - 1893 = 0. Let u be (-6 + j)\/2 + 1. What is u rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*i + b + 445, -2*i + 160 = -4*b. Let o = -358 - -376. What is the greatest common factor of i and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.95 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 - (254\/2)\/((-8)\/72). What is the greatest common factor of 1296 and v?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296970911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*b - 5 = 10, 3*b + 9 = l. Solve l*p = -4*y - p - 5, 15 = -5*y - 3*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36516 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.12 (b) 1\/24 (c) 7 (d) 1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/r**(2\/13))\/r*r*r*r**(1\/3))\/(r\/(r\/r**(-6))*r*r\/((r\/r**(2\/19)*r)\/r*r)*r))**42 assuming r is positive.\nAnswer: r**(83762\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 447988 divided by -447988.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7*(-18)\/21*-2. Let o = -12 + h. Solve o*s + 5*s = l + 20, 2*s = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-160*i**2 - 21*i**3 + 160*i**2)*(-2*i + 5*i - 4*i) to z*i**2 + r*i**3 + l*i**4 + x*i + u and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3331320301000 + 10?\nAnswer: 3331320301010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 34*l**2 - 42*l + 132. Let b be q(33). Let i = b + 533. What is the least common multiple of 1 and i?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 538243647 to the nearest integer?\nAnswer: 23200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-286))\/(46\/(-22) + 2 - 0).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 25 = 0, -5*x + 4*s = s - 20. Suppose -271*p = -310*p + 117. Calculate the remainder when p is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 11) to base 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 3) to base 6\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5993\/5 + 1333. Let c = -134 + z. Is -3 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 1:09 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50328320 is divided by 1677610.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*g**2 - 1\/7*g**5 + 58\/7*g**4 + 0*g - 841\/7*g**3.\nAnswer: -g**3*(g - 29)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 31*y**6\/60 + 23*y**5\/60 - 25*y**2. What is the third derivative of x(n) wrt n?\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/6*9*70\/(-21). What is the greatest common divisor of 250 and k?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 6*s + 118 = 2*s, 0 = 862*s - 866*s - 8 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2 + 3*b - 2 - 3*b + 2*b. Let m be (5 - 2)*8\/12. Let g(l) = 33*l**2 + m - 34*l**2 + l - 3. Give -2*g(p) + k(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8 - 16*h**3 + 6.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:54 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -14*s**3 - 105*s**2 + 107*s + 228. Let p(u) = 3*u**3 - u**2 - 2. Let a(v) = -d(v) - 5*p(v). What is w in a(w) = 0?\nAnswer: -1, 2, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(45\/7)*(-2)\/7.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 15*a + 20. Let v be s(-7). What is the units digit of (v\/8 - -3)*(-1608)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**6\/60 - y**5\/10 - y**4\/12 - y**3\/2 - 6*y**2. Let x be h(-3). Let f(z) = -z + 5. Let w be f(0). Which is smaller: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Let r(a) = 12 - 26 + 16 + 17*a. What is the tens digit of r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/490*4*(-28)\/(-64).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8.7. Let i = 0.1 + y. Let u = 0.599994 + i. What is u rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*((-22)\/8 - -4). Let j(v) = -v**2 + 4*v + 8. Let f be j(m). Solve r - 2*g + 12 = f*r, -5*r = 4*g - 29 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742386048?\nAnswer: 2, 3, 1181, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14))\/(2\/14*5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 7 + 18 = x, 13 = 5*x + 3*b. Let k(a) = -a + 5 + 3 - 3. Let i(s) = 1. Determine x*i(t) - k(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4492894574?\nAnswer: 2, 7, 1289, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + b = 234 - 170, 4*b + 54 = 3*t. Solve -22 = 21*k - t*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1160.464 times -0.2\nAnswer: 232.0928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 z when four letters picked without replacement from bzzzzbzzzbzzbzzzbz?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 1. Let c(r) = -3*r**3 - 9*r**2 + 6*r + 21. Let x(u) = -c(u) - 15*s(u). Let g(j) = -3*j**3 + 5*j**2 + 5*j + 5. Give 6*g(v) + 5*x(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 286\/(-169)*1365\/70.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145 or 56518\/387?\nAnswer: 56518\/387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 4, u: 1, b: 2}. Give prob of sequence bp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -97 + 112 + -3 + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 8:38 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2291 + -1612. What are the prime factors of x?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439038859.\nAnswer: 7, 29, 349, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 111326321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 49*y**2 - 3219*y - 157815. Determine j(-49).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 111. Let z = m + 98. Let b = z + -37.99. What is the second biggest value in 0.5, -2\/9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132232122 (base 4) in base 13?\nAnswer: -4538a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3984753 is divided by 577?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006\/3 + (-4)\/(-6)*-1?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6*(-20)\/(-16))\/((-1)\/2). Let m be -2 + (-2)\/t + (-1426)\/(-345). Solve -n + 4 = -m*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42795539?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 greater than or equal to 2\/1123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from youu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**3 + 76*v**3 + 26*v**3.\nAnswer: 94*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f = -22, -2*k + 105 = -2*f + 93 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:50 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10736, 10212, 9686, 9158?\n\"Answer: -m**2 - 521*m + 11258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-48))\/((-72)\/(-8))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/11 and ((-27)\/(-273))\/(3\/4).\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 1:55 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145948\/15 + -9723. Let f = t + -86\/5. What is the common denominator of -65\/3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2383 is divided by 149.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -327 - -328. Solve 4*d - 4*v = -4, -3*v = -2*d - 0*d + b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**6\/120 - t**5\/3 - t**4\/24 + 25*t**3\/6 - 55*t**2. Calculate k(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*t - 1 = 0, 0 = 2*m - 70*t + 69*t. Put m, -13, 5, -5 in descending order.\nAnswer: 5, m, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-2)*7\/3. Let a = 118 + -112. Suppose 0 = -4*n + a - 2. Solve -5*p - s = l, -2*l + l - n = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -529146 divided by -1.\nAnswer: 529146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -0.1, 0.7001978?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6*f = 9*f + 67153, -2*q + 4*f + 26864 = 0. What are the prime factors of q?\nAnswer: 2, 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*m - 16 = 5*j, -3*m + 12 = 0. Let i be 30\/j*(-6)\/9. Solve 2*f - 5 + 1 = l, 0 = 4*f - i*l + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29806000 rounded to the nearest one hundred thousand?\nAnswer: 29800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-360))\/((-9)\/72). Suppose -4*q + 12 = -q. What is the nearest to 0 in -0.02, b, 3, q?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-3\/8)*g)\/g*g\/(g\/(g*g\/g**(-1)*g))*g**(-4)*g*g*g**0 assuming g is positive.\nAnswer: g**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2 - 4*r + 33*r**3 + 5*r**2 - 17*r**3 - 7*r**3 - 10*r**3. Calculate l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 = 0, 6*d + 4*n - 28 = 4*d. Suppose 0 = -d*y + 13*y. Let f(b) = b**2 + 7. Let o be f(0). Solve -1 = -2*q + 2*i - o, -3*q + i - 7 = y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1278 and 0.38058.\nAnswer: 1278.38058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 5 in increasing order.\nAnswer: 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 4*f**3 + 0 + 7 - 4*f**3 - 3*f**4 + 2*f**2 as w + q*f**2 + z*f**3 + r*f**4 + g*f and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - f + 183 = 0, 13*w - 3*f + 363 = 11*w. Which is smaller: w or -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 3445?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 2*r**5\/25 + 2*r**4\/5 + 2*r**3\/3 + 2*r**2\/5 - 5. Suppose o(t) = 0. Calculate t.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -13*a**2 - 82*a + 66. Determine s(-8).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 431156, 431149, 431142?\n\"Answer: -7*m + 431163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 94\/11 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 0 - 8\/2. Let d = r - -5. Solve 5*l = 10, -5*u + d*l + 3*l = 26 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*a - 22, -2*a + 3 + 5 = 0. Solve v = 3*v - p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/9))**(2\/73) assuming p is positive.\nAnswer: p**(8\/657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (70*r**3 + 25*r**3 - 20*r**3)*(-357 + 155 + 5*r + 173) in the form f*r + d*r**3 + m + b*r**2 + c*r**4 and give d.\nAnswer: -2175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1146335 + -5?\nAnswer: 1146330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(847) + 0 - (-4 + sqrt(847) + 0 + sqrt(847)))*1 + 1)*-2*-6)**2.\nAnswer: -6336*sqrt(7) + 122544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 18, 45, 90, 159, 258, 393, 570?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (141\/(-235))\/((-3)\/(2\/((-6)\/15)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 845\/408 - 10\/51. Let m be (40\/(-220))\/(((-8)\/(-16))\/(22\/(-4))). Which is the third biggest value? (a) m (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 10 + (-1134)\/(-42).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455352803 + 455352803 + 4*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 + 0*x**4 - x - 5*x**3 + 4*x**4 to the form r*x + w*x**3 + f*x**2 + c + v*x**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210594 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.06020856 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**4*u - 3978*q**4 + q**3*u + 1437*q*u + u wrt q.\nAnswer: 24*q**2*u - 47736*q**2 + 6*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 3*h - 3*h)*(h + 4*h + h) - 1 + 2*h + 4*h**2 + 3*h**2 - 5*h**2.\nAnswer: -4*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 8 + 5 - (3 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.753086m?\nAnswer: 0.004753086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153 + 153. Suppose 2*h + 98 + 50 = 4*s, j = 5*s - 4*h - 191. Calculate the remainder when s is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 384 = -431. Suppose -4*d = -12, -4*o + 400 + a = d. What is o rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -3*z + 64. What is the remainder when z is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -74*h. Let l be i(-1). Let u be 1\/(9\/(-423)*1). Let w = l + u. Calculate the greatest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -319940 divided by -1\nAnswer: 319940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 + 8*t**2 + 4*t**2 + 4*t**2 - 21*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 10. Suppose 20 = 4*t + 4, -a*u + 521 = -t. List the prime factors of u.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4098236370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = 293 - 269. Let u(j) = -8*j**2 - 3*j. Let s(k) = -4*k**2 - k. Let i = -223 - -228. Calculate i*s(w) + v*u(w).\nAnswer: -4*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 350. Let k(w) = w + 70. Let b(n) = 5*k(n) - s(n). Let h(m) = 457*m. Determine h(b(l)).\nAnswer: 3656*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2310690.18 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 14) to base 3\nAnswer: -21210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68432 and 312832.\nAnswer: 2189824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*(27 + 434\/(-16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38, 55, 86, 137, 214, 323, 470?\n\"Answer: c**3 + c**2 + 7*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + sqrt(1372) + 0 + sqrt(28).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60138000 rounded to the nearest one million?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*l - 19, 2*l - 70 = 23*w - 19*w. Sort -2, w, -4, 0 in descending order.\nAnswer: 0, -2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47199 + 1?\nAnswer: 47200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*j = 6*i + 106, -31 = i - j. Let x = 37 + i. Suppose -3*n + 32 = x. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00107818 rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1 + (-4 + 2 + 3)*(1 - 4 + 1) - 4 + 0 + 3 + 0 + 0 + 1)*(-3417 + 220*f + 3415 + 1212*f).\nAnswer: -4296*f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 8 = r - 7*h, 2*h - 20 = -5*r. Let l(d) = d**3 - d**2 - d + 3. Let x be l(3). What is the greatest common factor of r and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -0.3 (c) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 549569*0.23.\nAnswer: 126400.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 17*i + 8. Let y be b(-8). Suppose y = -6*a + 2*a + 8. Find the first derivative of -2 + 24 + 5 + 24*v**a wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -19*b + 6. Let n be ((-1)\/2)\/((-3)\/(-12)). What is the units digit of x(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52656 is divided by 4170.\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(-4 + 6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 2:38 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*s**3 + 0 + 4\/3*s**5 + 4\/3*s**2 - 4\/3*s**4 + 0*s.\nAnswer: 4*s**2*(s - 1)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 591333446 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -129? (a) 0 (b) -5\/3 (c) -3\/4 (d) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**4 - 2*m**4 - 3*m**4)*(-m + 0*m + 0*m)*(-1 + 1 + 2)*(0 - 4 + 6) + 285*m**3 - 285*m**3 + 1126*m**5.\nAnswer: 1130*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 6\/190629077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6883*c**2 - 593525 + c - c + 593525 to the form x*c**2 + t + s*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f + 7*f + 10176 - 10178. Let w(l) = l**3 + 4*l**2 + 3*l. Let d be w(-2). What is r(d)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35087953157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((3 + (0 + sqrt(80) - sqrt(80) - sqrt(80)) + sqrt(80) + (sqrt(80) - (4 + sqrt(80)))*-3)*-5)**2.\nAnswer: 5623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65706 and 40044?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6670 = 5*r + 5*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -15*b - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 9*o**2 - 12*o - 8. Let s be g(11). Let a(j) = s*j - 183*j + 99*j. Let u(t) = -2*t**2. What is a(u(p))?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200 - -10?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 570634517 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 7:10 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 944*j - 944*j + 54*j**3 + ((2 - 2 - j)*(2 - 4 + 4) + 0*j + 0*j - 2*j)*(3*j**2 + 3*j - 3*j) to the form p*j + k*j**3 + y + m*j**2 and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -50, -82, -118, -158, -202?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c, -3*f = 4*c - 2 + 4. Let u be f\/21 + (-60)\/(-14). Let d(t) = -t - 5. Let y be d(-4). Sort u, -2, y in decreasing order.\nAnswer: u, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -118*i - 3187. What is b(-24)?\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-10 + 0)*-6. Suppose -8*w + 9*w = -k + 4, -28 = a*k - 5*w. Let p(i) = 9*i - 2. What is p(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -90, -137, -184, -231?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3255 and 2883405?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10102.\nAnswer: 2, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 175, 347, 517, 685, 851, 1015, 1177?\n\"Answer: -n**2 + 175*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 35 = 5*n, 4*n = 4*x + 2*n - 22. Solve -x*z - 2*d = -4*d, -5*d - 7 = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-68)\/(-5) - (-3)\/(-5). What is the common denominator of -73\/12 and (1\/(-22))\/(p\/975)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 10*d**3\/3 - d**2\/2 - d + 32. Let k = 5 + -1. Calculate the smallest common multiple of v(-1) and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 = 5*g + 7, 5*t + 3*g - 15 = 0. Suppose 2*l = -2*l. Suppose -t*j + 35700015 = -3*b, l*b + 5*j = 4*b + 47600025. Round b to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (16 - 17) - (-1 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10523 and 240791.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5931977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 892 and 2419327.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -349*u**6 + 32*u**2 + 5?\nAnswer: -41880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738695?\nAnswer: 5, 147739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvvnnnnmnnnnvnvm. Give prob of picking 1 m, 2 n, and 1 v.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4*(n**(-1\/9)*n)\/n)**(4\/23)\/(n*n\/n**(3\/8)*n**(-2\/7)*n**(-6)\/(n**(3\/7)*n)) assuming n is positive.\nAnswer: n**(78427\/11592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 105830 (base 11) in base 8?\nAnswer: 511403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + b)*(0*b - b**3 + 0*b) - 5*b**4 + 4*b**4 - 3*b**4.\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 3:48 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*o - 316*o - 5060 = 0 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 7:11 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {v: 1, f: 1, p: 2, n: 2, c: 7, t: 6}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 30429690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/2 of a day?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.042 times -10\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 132d?\nAnswer: -132b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 13*k**2 - 30*k - 215. Let m be u(-12). What is the biggest value in 2\/7, -0.1, 6, m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67066 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 355383316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-10) + 2349\/405. Which is bigger: s or 50\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 4 + 1)*(-2 + 1 - 4) - 2 + 0 - 3)*(k - k + 2*k**2) to the form u*k**2 + s + d*k and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:26 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*n - 35*n + 31*n + 2 + 3 - 1.\nAnswer: -98*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 12:29 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = n + 3066. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1469046.\nAnswer: -2\/734523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**5\/20 + 3*q**4\/4 - q**3\/6 + 4*q**2 + q. Let l be w(9). Let p(u) = 17*u - 20*u + 1 - 8*u**2 + 5*u. Determine p(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48124 - 104*k + 74*k - 48124.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(0 + 2\/16). Suppose 9*r - 4*r - 24 = -3*g, -5*g + 5*r = 0. Suppose 4*h - 3*d = 96, -g*d + 25 = h + 1. What is the highest common factor of h and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 56*b**2 + 49*b + 39. Let g be f(-27). What is the highest common factor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35052 + 0?\nAnswer: -35052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91654068 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -14761324*v - 1. Let r(a) = -5*a. Give m(r(y)).\nAnswer: 73806620*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 9 - 14)*(1 + t**2 - 1 + (4*t + 1 - 1)*(t - 2*t + 2*t) + 8*t + 2*t**2 - 8*t).\nAnswer: 154*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 87. Let h be d(17). What is the second derivative of -3*a**2 + 20*a**2 - 2*a**2 + h*a - 2*a**2 wrt a?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1266*q + 1513*q = -17043 for q.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-4)*1*7\/14*11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 7*g - 20200 = 8*g, 3*g = -5*i + 20220. What are the prime factors of i?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4018321 = 27*p - 33*p - 6778679. What is p rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -116 (b) -1 (c) -4 (d) 2\/7 (e) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1164 = -2*l + 3340, 3*l - 3264 = -4*a. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13798 and -3.179.\nAnswer: -43863.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 33276517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -13*p - 186. Let w be f(-15). Let d(u) = 4*u**2 + w - 5*u - 3 - 19*u**2 - 6. Let z(n) = -7*n**2 - 2*n. Determine 2*d(v) - 5*z(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.04453 millimeters to kilometers.\nAnswer: 0.00006004453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -462 - -20?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 16 + 8. Find the first derivative of -9*g**r - 3*g**4 - 2 + 1 wrt g.\nAnswer: -48*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3427 + 3432. Solve 2*b = r*d + 6, 0 = -3*d + 4 - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71089324 divided by 46252.\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 120836.23 - 19\nAnswer: 120817.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1724*s + 21974*s = -40543 - 101207 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*s - s - 4*s)*(1 + 4 - 4) to z*s + k and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 2*a**2 - 3*a + 3. Let f be b(2). Let i be 4 + -1 - (-2 - f). Factor 2 + 4*u**i - 1 - 5*u**2.\nAnswer: -(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3687, -7440, -11193?\nAnswer: -14946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98.938 - -99. Let k = 4.938 + c. Let f = 0.01 - -2.99. Sort f, 18, k.\nAnswer: f, k, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - a**2 + a + 1. Let k(v) = 5*v**3 + 22*v**2 - 21*v - 12. Let q(m) = -6*i(m) - k(m). What is the remainder when q(15) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 3 (c) 0.063\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 522 = -36. Suppose 79*l - h*l + 738 = 0. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 20*o**2 + 10*o - 26. What are the prime factors of w(-9)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -s - 8*m + 28, 0 = -5*s - m + 20. Let v(r) = -8 - r**s + 22*r**2 - 32*r**2 + 5 + 0*r**3. What is v(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.92673254 from 0.9.\nAnswer: 1.82673254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133a40 (base 12) to base 11.\nAnswer: 1a777a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21692 and 308.\nAnswer: 151844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*m - 4*n - 60, 3*m - 1052*n = -1053*n + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 31\/1 + -4 - 2. Solve -5*j + 10*j - t = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.314 + 4.275. Let t = 0.8885 + -0.92987. Let h = t - d. Round h to four dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 196 in 0, 2, 4, -2, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 387595*o**2 - 1544*o + 145 wrt o.\nAnswer: 775190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18 + -72 + 3*2\/(-3). List the prime factors of (c\/(-5))\/((-20)\/(-950)).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/2 and 73\/(-2 + 1*12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5778303 is divided by 2575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1178636 is divided by 1181?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3.2. Suppose 0*z = -2*z + h + 22, 4*h - 8 = 0. Let u be ((-12)\/14)\/(18\/z). Which is the second smallest value? (a) g (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, -1, -3 in decreasing order.\nAnswer: 155, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 3*d**4\/4 + 26*d**2. Let s(h) = -2*h**2. Give r(s(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 2*b**4 + 2*b**3 + (-12*b - 8*b + 6*b)*(2*b**2 - 2*b**2 - 2*b**3) + 0 - 4*b**4 + 0.\nAnswer: 22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.4 (b) -4 (c) -0.6 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 9:27 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from yzzzzyzzzzzyzzzzzyz.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = -12. Let l(t) = -11*t - 7. Let c be l(-1). Suppose -12 = -c*b + 2*h, -2*h - 3 = 1. Solve o = -f*y - 18, 5 = -b*o + 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3024)\/61560*-95*(-60)\/(-154)?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 16 - (-2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -91.6437 from -1124.08172.\nAnswer: -1032.43802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*r - 92*r - 24*r**2)*(-3*r + r + 4*r - 4).\nAnswer: -48*r**3 + 96*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, h: 1, v: 10}. What is prob of sequence sh?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*b + 536 - 522 = 0, -5*b - 10 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 53095050 divided by -3539670\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 19629856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/16810?\nAnswer: 3\/16810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -15*a - 128. Let m(u) = -3*u**2 + 35*u + 3. Let g be m(12). What is the lowest common multiple of y(g) and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from bfbthbtttzf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26b96c3 (base 13) to base 14.\nAnswer: 18a0109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-378)\/48 + 8 + 5809866\/48 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:10 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666417 to the power of 1\/2, to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -a - 0, -a - 8 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 6 (c) 1\/47 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**2 - 16*f - 18. Let b be q(-12). Let r = b - -246. Let y = r + 335. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-49275)\/125 + (0 - 1\/(-5)). Let a = r - -5124\/13. Let -a*t**3 - 8\/13 - 4\/13*t**2 + 14\/13*t = 0. What is t?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 352\/107 - -4018\/535. Let -6\/5*g**4 + 36\/5*g**3 + 0*g + 0 - t*g**2 = 0. What is g?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-2\/19)))\/k)**(-1\/17)\/(k\/((k\/((k\/((k*k**(-3\/4))\/k*k))\/k))\/k))**(-2\/41) assuming k is positive.\nAnswer: k**(2691\/26486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 318 - 201. Let n = 198 - x. What is the remainder when n is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 3*g - 9 = -24 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 - -1a3973?\nAnswer: 1a3995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 147?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -25388.7005705165.\nAnswer: -25388.8005705165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/9)*(v*v**(1\/5)*v)\/v)\/(v**0)**(-1))**(7\/2))**(2\/15) assuming v is positive.\nAnswer: v**(413\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/19195 and -31\/11033635.\nAnswer: 121369985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 10*k + 9. Let v(m) = -21*m - 19. Let g be 8\/10*420\/56. What is g*v(n) + 13*j(n)?\nAnswer: 4*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 5*r - 2. Let b = -32 - -48. Suppose 3*d + b = -d. Give x(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 8:32 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40615?\nAnswer: 5, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 86. Let r(t) = t + 43. What is 2*h(v) + 5*r(v)?\nAnswer: -v + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3403*w = -3785*w + 263*w - 699425 for w.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 + 0.12. Let h = 5.1 - c. What is the third biggest value in -0.3, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 4*u - 1 - 3*u)*(-3 + 3 + 2*u) as k*u + i + c*u**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -15*j + 9. Let n be i(1). Let x(d) = -d**2 - 6*d + 6. Give x(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8360238 months in centuries?\nAnswer: 0.0006966865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*d - 15 - 7, 9 = -3*v. Suppose 3*s + 2 = 5. Put s, -1, d in ascending order.\nAnswer: -1, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 969*h**2 + 414732*h + 4. Calculate t(-428).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -13. Suppose -j*s + 13 = -i, i = -5*s + 4*i + 19. Let c = -33 + 48. Calculate the highest common factor of s and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + a = -11, -12*o + 15*o + 33 = -3*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -182, -271, -360?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(4 - 3 + 1) + 0 - 1 - 1 + (2 + 1 - 1)*(2 + 7 - 3))*(2*u - 2*u - 2*u).\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -745224, -742433, -739644, -736857, -734072, -731289?\n\"Answer: -p**2 + 2794*p - 748017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429643 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54950 - -102212. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - 4*b + 3. Let x be k(1). Let g(w) = x*w + 3 + 5*w + w**2 - 2*w + 0*w. Determine g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -483, -478, -473, -468?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/1 + 72\/30. Which is the nearest to q? (a) 5 (b) 5\/2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21220002201 (base 3) to base 14\nAnswer: -40886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 13*u**2 - 4*u + 15. Let f(v) = -36*v**2 + 13*v - 44. Let n(r) = -4*f(r) - 11*p(r). Calculate n(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 1054746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/11, -3, -1892 in decreasing order.\nAnswer: 3\/11, -3, -1892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/30 - 81\/(-15). Suppose -l + j*l = 15. Calculate the lowest common multiple of 1 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6 + m - 3 + 1 - 3. Let h(a) = 3*a + 4. Give -b(n) + h(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*w - 61, 28*w = -5*h + 27*w - 65. Let i(s) = -4*s - 2. Let p be i(-2). Sort h, -4, p in decreasing order.\nAnswer: p, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-14)*(-8)\/10\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-473)\/(-860))\/((-1)\/4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-2) + -12 + 1. Let f = o + 24. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044215 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*p + 25 = 4*p, -3*w - 5*p = 16. Let j = w + 17. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(756) - sqrt(756)*-1*-4)\/(6*sqrt(36)\/sqrt(3)))\/((sqrt(4500)*1)\/(1*(sqrt(5) + sqrt(80)))).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*l + 2*r, 5*r = 4*l - 0*r - 22. Let u(b) = -b**3 + 8*b - 11. Let p(q) = q**3 - q**2 - 8*q + 11. Let c(d) = 7*p(d) + 6*u(d). Give c(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -74\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -25021*t + 25025*t + 2*n, -3*t + 3*n = 84 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 1. Let a(r) = 9*r + 2. Let q(j) = -6*a(j) - 11*y(j). Suppose 0 = 3*l - 3*u, -2*u = 2*l - 6*u + 2. Determine q(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 3. Find the common denominator of 2\/7 and (t\/5)\/(6\/339).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1548513563?\nAnswer: 1548513563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4\/23 + 84*j**3\/23 - 174*j**2\/23 + 88*j\/23 = 0?\nAnswer: -44, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 228 = -12*f - 2*n, -276 = 5*f - 4*n. Which is the closest to f? (a) 0.3 (b) -3\/4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, b: 1, c: 3, i: 1, y: 2}. What is prob of sequence io?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -3 - -2)*1. What is the derivative of -5*b**2 + 0 + 6 + 2*b**2 + p*b**2 wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2503614 and -115\/12.\nAnswer: 5007228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9425 = q - 5*y + 9445, -5*y + 20 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 1368510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 221547393 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 6279\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 224203?\nAnswer: -224201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37\/2083276 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1065 - 1460 = 59*p + 1040 + 1338 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*g + 75, i = 5*i - 3*g - 57. Let l be (-331)\/(-9) - 12\/(-54). Let r = l + -27. What is the lowest common multiple of r and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 9:07 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 56 = l, 8*d - 4*l + 59 = 13*d. Suppose x - 7*x + 102 = 0. Calculate the remainder when x is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.0448 - 0.3142. Round q to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*l = 171*l. Solve 5*w - 8 + 3 = l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10588 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*f - 2, -2*m - 2 = 3*f + 2. Let x(u) be the second derivative of -u**5\/20 - u**3\/3 - 5*u**2\/2 - 2*u - 720. Give x(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a century in months?\nAnswer: 12480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**2 + 136*s - 45. Let l be o(-23). Let k(t) = t**2. Let x(v) = 12*v**2. Determine l*x(w) - k(w).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -1. Let c be (-6)\/(-15) + o\/5. Suppose c = 2*i + 2*a - 4*a - 522, -i - 3*a + 265 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**3 + 0 + 15\/2*m**2 + m. Let f(q) = -q - 3. Let i(s) = 11*f(s) + 2*r(s). Calculate i(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4799?\nAnswer: 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3197870492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**2. Let w(r) = -1548955*r**2. Give v(w(l)).\nAnswer: -14395569552150*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15 + 9*q**2 + 8*q - 68*q**3 + 3*q**2 - 12*q**2 + 17 wrt q.\nAnswer: -408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-21)*-3*3\/(-27).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 13*q**4 + 0*q - 11*q**4 + 2 - 2 - q**4 + (1 + q**3 - 1)*(4*q + 2*q - 4*q) + q**4 + 2*q**4 + 0*q**4.\nAnswer: 6*q**4 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391033 and 1016?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -674172, -1348284, -2022394, -2696502, -3370608, -4044712?\n\"Answer: f**2 - 674115*f - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10675*t**2 + 22367.\nAnswer: -21350*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Let l be z + (0 - -2)*-1. Suppose -2*n = -4*y - 8, -7 + 18 = l*n - 3*y. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -16. What is the derivative of 5*m**4 + 1 + g*m**4 - 2 wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 228.037 + -228.05. Which is the closest to -2\/7? (a) 8 (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 146755428*w + 294711312?\nAnswer: 146755428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g - 1. Let s(f) = 18*f**2 + 10 - 4*f**3 + 8 + 3*f**3 + 18*f + 9. Let h be s(19). Suppose 1 = -9*o - h. Give u(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119750 minus -112504?\nAnswer: -7246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392818*s**3 + 31*s + 53*s - 86*s.\nAnswer: 392818*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 5*k + k + 140 - 140.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13962, -523, 3, -2.\nAnswer: -13962, -523, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 215, 884, 2011, 3602, 5663, 8200, 11219, 14726?\n\"Answer: n**3 + 223*n**2 - 7*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppyp when four letters picked without replacement from pyypypp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, i: 1, h: 2}. Give prob of sequence mim.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 832064 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1362 + 1895. Calculate the highest common factor of c and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*o**4 + 8528*o**3 + 2*o**2 - 1395338?\nAnswer: 104*o**3 + 25584*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/6 - 277*k**3\/6 + 187*k**2\/2 + 279*k\/2.\nAnswer: -k*(k - 3)*(k + 1)*(k + 279)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n*n**(-1\/2)*n))**41*(n**(-9)*n)\/((n\/(((n*n*n*n*n*n*n**21*n)\/n)\/n))\/n) assuming n is positive.\nAnswer: n**(-169\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-19)\/s*s*s*s**(2\/5))\/((s*s**(2\/3)\/s*s)\/(s\/(s\/(s*s**(-4))*s))))**25 assuming s is positive.\nAnswer: s**(-1745\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 83*y + 82*y - 38.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6*j - 10 = -j, 5*j - 2 = -m. Let q(n) = m*n - n + n. Let r(x) = 32*x - 20*x + 8*x**2 - 12*x. Give r(q(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26322441 is divided by 188?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2. Let y(i) = -22*i + 4. Let d(h) = -42*h + 7. Let z(u) = -4*d(u) + 7*y(u). Let k(x) = -x. Let o(v) = -3*k(v) - z(v). Give l(o(p)).\nAnswer: -363*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.9075 and 0.9077.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 93565266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 * 1356999\nAnswer: 2578298.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191144467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-3) - -2) + 2. Let g(h) = -11*h**3 - h**2 + h + 1. Let r be g(-1). What is the greatest common divisor of r and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1396*n - 3504*n - 1327*n + 297*n - 2731*n.\nAnswer: -5869*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 34185*q - 239305. Let g be o(7). Let r = 0 + 0. Which is the second smallest value? (a) -2 (b) r (c) g (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -29*u - 5\/3*u**3 + 0 - 11*u**2 + 1\/12*u**4. Let o be q(12). Solve -f = 3*h + 3, -5*f + 0*h = -o*h - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -25*h - 2. Let q be 9 + (-43)\/5 + 35\/(-25). What is o(q)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d**(3\/4)*d))\/d)*d**12\/d*((d*d*((d\/d**(-2\/7))\/d)\/d)\/d)**(6\/11))**5)**(-27) assuming d is positive.\nAnswer: d**(-578205\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 7*j - 2. Let g be s(-7). Let t be (-7)\/14 + (-11)\/g. Suppose t*y - 28 = y. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401508773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1911 and 205\/6006?\nAnswer: 42042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - -14d41?\nAnswer: 14d4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15 - -13 - (-5 + -2)) + 3 - -13) + 10?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 + 75. Let u be -2 - (0 + -3 + 3) - n. Solve -r + u = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - o + 10 = 0, 0 = -11910*x + 11914*x - 2*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 13 = 4*d, -5*a + 5*d - 11 = -3*a. Let m be 3 + (a - -1) + 3. Solve m*y = 3*y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 807417 in 5, -0.1, -13\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**4\/72 + 43*c**3\/6 - 5547*c**2\/4 + 764*c. Find g, given that s(g) = 0.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8282 + 8319. Which is smaller: -9 or o?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(1 - 3)\/2. Let t = 3 - 0. Let b = y + t. Solve b = -2*o + 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 - 134 = -8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 5. Suppose -q = -2*o + o. Suppose 0 = o*k - 5*u + 2249980, k - u + 2*u = -750004. What is k rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 13) to base 7.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 161166873*r**3 - 151284933?\nAnswer: 483500619*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-441)\/35)*(-2)\/(-5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -21*v + 8. Let k be (-14)\/70 + 108\/(-10). Let s be p(k). Suppose 91 = 3*b - s. List the prime factors of b.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 106 + 74 = 0. Suppose 3*d = 5*d - v. What is the units digit of (d\/(-25))\/(2\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -7) + -49 - (5 - (2 - -16))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*c + 468 = -c, -3*c = -b + 164. Suppose 0 = -2*d + b - 46. Let m = 373\/7 - d. Is m at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 2 (c) 3 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2 - 84\/(-7). Let w = 90 + -38. What is the highest common divisor of w and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126567*k**3 - 54259*k + 1004626*k**3 + 54259*k.\nAnswer: 1131193*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3107, -6, -4 in ascending order.\nAnswer: -3107, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 0.07 (c) -39.6 (d) -1 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 15 - (-1 + 5 - (-4 - -10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20012 (base 3) to base 6.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -7393.6603?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107.818 - -108. Round m to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -7) + -6 + -5 - -4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.41 (b) 1 (c) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 - -0.1. Let y = 236722 - 236721.9. Suppose 0*r + 12 = 3*r. Which is the second biggest value? (a) x (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1760895\/4 equal to -440223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -269070*j*w**4 - 1543*j*w + w**5 + 24 wrt w.\nAnswer: -3228840*j*w**2 + 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1477 + -1478. Is w not equal to -1\/6297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 7*y - 2. What is the units digit of g(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9153284 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + 2*sqrt(7623) + 3 + sqrt(448) + (2*sqrt(448) + sqrt(448))*-3)*-6.\nAnswer: -12*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14720*n**3*v*y + 2*n**3*v + n**3*y + 86*n**3 - 7096285*n**2*v*y + 4*n**2 - y wrt n?\nAnswer: -88320*v*y + 12*v + 6*y + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1873 to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15*-3*4\/(-30). Suppose -c = -4*w + w. Suppose 0 = b + w*b - 18. 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 the remainder when 1092705 is divided by 398?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - 6*c**3 + 4*c**3)*(-405 + 35 - 204).\nAnswer: 574*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -553866?\nAnswer: 6\/92311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - g = -30, -3*t = g - 15 - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 22, 61, 126, 223, 358, 537?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -6 (b) -1583\/30 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((14834 - -3) + -2)*(114\/(-15) - -8). What is the highest common factor of r and 552?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44517, -91385, -138253?\n\"Answer: -46868*v + 2351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 + 54412*t\/5 + 370083218\/5.\nAnswer: 2*(t + 13603)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x + 29*x - 16*x + 137*x**2 - 117*x**2.\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1387*b + 1390*b + 7 = 2*c, -5*b = 4*c + 41 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -1192, -4345, -10470, -20557?\n\"Answer: -165*o**3 - o**2 - 13*o + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -2 - -4) + (1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**1)\/(r**(9\/4)*r) assuming r is positive.\nAnswer: r**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2776 and 6884.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 395659 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/12687 + 38581153\/25374. Let u = 73043\/48 - i. Find the common denominator of u and 17\/54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 0*a + 4*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.76 to one dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 4:45 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 463.6967 milligrams?\nAnswer: 0.0004636967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 9*b - 6*b. Let u(w) = -w - b*w**2 + 5*w**2 - 17 - 3*w. Let i(g) = 2*g**2 + g + 4. Determine -9*i(l) - 2*u(l).\nAnswer: -2*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*u + 271, 0 = -3*c - 4*u + 48 + 103. What is the remainder when c is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.077218904\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5\/2)\/m)\/m**(-11)*(m**(-13))**(2\/19))**(2\/113) assuming m is positive.\nAnswer: m**(233\/2147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 6 (c) 2 (d) -6\/581 (e) -0.5 (f) 14 (g) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7489200\/140 - (1 + (-5)\/7). Is b\/4*(-860)\/(-602) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-9)*(-3)\/10*-25\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.01, 1, -3773, -86 in decreasing order.\nAnswer: 1, -0.01, -2, -86, -3773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -3 (c) -2\/5 (d) -9\/7 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j*j*j**(-2\/47)*j)\/j*j*j))\/j)\/(j*j**(-39)*j)*(j\/(j*j**(-5\/4))*j*j)\/j**46 assuming j is positive.\nAnswer: j**(-2013\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-153)\/(-68))\/(15\/(-8)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1682, 3370, 5058, 6746, 8434?\n\"Answer: 1688*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + (3*sqrt(1008)*2)**2.\nAnswer: 12*sqrt(7) + 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1140 - 22442?\nAnswer: -21302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**3 + 2*j**3 + j**2 + j**2)*((-2*j + 3 - 3)*(-3 - 2*j + 3) - 2*j**2 + 2*j**2 - j**2 - 4*j**2 - 5*j**2 - j**2).\nAnswer: 35*j**5 - 14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(4*(-7)\/(-42))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4869070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 42*t**2 + 1064*t. What is z(-18)?\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/1*105\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/2 (b) 11 (c) -1\/22 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t - 8. Let l be f(4). List the prime factors of ((-16)\/l + 1)*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6043*u**3 + 364 + 6041*u**3 - 364.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**6\/60 + 3*n**5\/20 - 19*n**4\/24 - 93*n**2. What is the second derivative of k(t) wrt t?\nAnswer: -12*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.16 + 0.16. Let q = c - -6.93. Round q to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, m: 5, t: 1, i: 1}. Give prob of picking 1 i and 1 v.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12001 + -1221100?\nAnswer: -1203033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 - 2*g**2 - 4*g - 3. Let u(i) = -i**3 - i**2. Determine b(h) - 2*u(h).\nAnswer: -h**3 - 4*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1006*b + 165135. Determine a(-164).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w + 5. Let a = -25216 - -25211. What is the closest to w in -4, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**5\/7 + 11*n**4 - 390*n**3\/7 - 2740*n**2\/7 + 13256*n\/7 - 13632\/7 = 0.\nAnswer: -6, 2, 8, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - -3*sqrt(208)) + 0 + sqrt(91)\/sqrt(7) + -5.\nAnswer: -5 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001236468 rounded to six decimal places?\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 57. Suppose -2*b + x + 12 = -x, i = -4*x. Let y(s) be the first derivative of -s**4\/4 + 5*s**3\/3 - 3*s**2\/2 + 1. Determine y(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55483026199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.2, 0.17, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(624)*1)\/(sqrt(12)*-2*2))\/(-1*sqrt(324)*-2*-1*1).\nAnswer: -sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.787 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13841, 13848, 13855, 13862?\n\"Answer: 7*n + 13834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*y**4 - 4*y**4 + 0*y**4 + 0*y**4 + 36*y**4 - 8*y**4 + 0*y**4 - 4*y**4 + 8*y**4 + (0*y**4 + 2*y**4 - 4*y**4)*(1 - 2 + 0).\nAnswer: 38*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 407*t**2 + 665*t**2 - 440*t**2 + 660*t**2. Let s(b) = -b**2. Determine l(s(u)).\nAnswer: 1292*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 13*z - 18*z - 1 to n + u*z and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212803.5ug to tonnes.\nAnswer: 0.0000002128035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 367, 1253, 2983, 5839, 10103, 16057?\nAnswer: 23983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/8 in -5, -0.5, -2\/7, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1588\/653 or 3?\nAnswer: 1588\/653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1637.3199816579 - -1637.32. What is z rounded to seven dps?\nAnswer: 0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**6\/780 - m**5\/195 - 10*m**2 - m. Factor l(r).\nAnswer: -2*r**2*(r + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2232 to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 5:55 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 - 1 + 1 + (4*l + l - l)*(l**3 + l**2 + 19672 - 3*l**3 - 19722).\nAnswer: -7*l**4 + 4*l**3 - 200*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**2 + 348866*k - 214568 wrt k?\nAnswer: -2*k + 348866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/330 and -2\/1727?\nAnswer: 51810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 38. Suppose p = -3*r - q - 8, 0 = -2*p + r + 2. Let l(j) = -10*j + 2. Is l(p) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*r - 32*r - 13*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 27 = -3*h + 3*m, -4*h - 4*m = 8. Let v = -11 + 40. Suppose 0 = s - 4*c + 5, 5*s - v = h*s - 5*c. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - 10*w - 1. Calculate f(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*v = 50*v - 729. Let n be -3*(-6)\/v - (-100)\/45. Solve -n*q - 20 = 3*q - 5*k, 3*q + 3*k + 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2112 divided by 8\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 - 1 + 2*l**2 + 1 - 9*l - 2 in the form r*l + o + f*l**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 792671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1 - 2*s + 0 + 2. What is the remainder when t(-4) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5795375935.\nAnswer: 5, 1159075187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -476, 3\/4, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 87477 + 87466 - 174944. Let b(w) be the third derivative of -5\/6*w**3 - 1\/12*w**4 + 0*w + 1\/20*w**5 - 2*w**2 + 0. Determine -b(k) + 5*o(k).\nAnswer: -3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than 1\/2338206471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3616 and 29719.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnnxxnnkdnxlnxnnlx. Give prob of sequence xdnn.\nAnswer: 7\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 + 10*p + 2\/5*p**2 - 2\/5*p**3.\nAnswer: -2*(p - 5)*(p - 1)*(p + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**4\/12 - 2*q**3\/3 - 2*q**2 - q. Suppose -9*m - 180 = -0*m. Let k = 14 + m. Calculate x(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-13)*(-3276)\/3024 + 12\/(-22).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2 - 42 = 0. Suppose -o = -5*o + h. Solve o*c - 5*w = -3*w - 14, c = 4*w - 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 357 - 1145. Let m = w - -5525\/7. Which is smaller: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/((-150)\/(1 + 24)). Factor -8*l**3 + 0 + 0*l - 10\/3*l**4 - g*l**2.\nAnswer: -2*l**2*(l + 2)*(5*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1743 and -278?\nAnswer: 326.4554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 2*c - 1\/135*c**5 + 0 - 1\/108*c**4 - c**2 + 1\/540*c**6 + 2\/27*c**3. Let x(a) be the first derivative of t(a). Factor x(z).\nAnswer: 2*(z - 2)*(z - 1)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48a (base 13) to base 8.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6*-2*5\/20\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*c**2 + 38*c**2 - 2*c - 37*c**2 - 78*c**2 in the form w*c + p*c**2 + a and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 782944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*6*(-1)\/(-30). Suppose -2*u - 4 = 5*b + 6, -2*u + 4*b + 8 = c. Solve u = 8*g - 4*g - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2066 = 9*w - 895. Suppose 0 = -0*s + 12*s - 1128. Calculate the highest common factor of w and s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7753632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, w: 1, a: 2, z: 7, x: 1, k: 2}. What is prob of sequence aaw?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/351, -1\/13, -0.2 in ascending order.\nAnswer: -0.2, -1\/13, -1\/351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mssf when four letters picked without replacement from gsmsmgmdbssf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20170, -40355, -60540, -80725, -100910, -121095?\nAnswer: -141280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) 9 (c) -1\/4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1067\/33 - (-12880)\/(-184)\nAnswer: -113\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33\/22)\/(9\/(-24)). Suppose 5*l + 2*t = 0, -4*l + t + 2*t = 0. Which is the nearest to -0.1? (a) g (b) l (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(16)\/sqrt(2)) + (0 + sqrt(468))**2 + -5.\nAnswer: sqrt(13) + 463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46941375.\nAnswer: 3, 5, 13, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 + -31403?\nAnswer: -31303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10958 + 19389. List the prime factors of q.\nAnswer: 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4))**(-13) assuming p is positive.\nAnswer: p**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -29 - 37. Calculate the smallest common multiple of a and 3*30\/9 + -2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 6*g + 2 = 4*g, g = -2*c - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1076 + 268 = 192*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77688 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -1\/4 (b) -124\/17293 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 5 - 15 + 7 + 59*d + 9 in the form q*d + x and give q.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 3. Let l(f) = -6*f**2 - 5*f - 7. Let m(j) = 3*j**2 + 2*j + 3. Let t(v) = 3*l(v) + 7*m(v). Calculate the remainder when t(c) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 37 - 6*p + 10*p + 11*p.\nAnswer: 19*p + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-three halves of a gram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1211 + -834. Which is greater: v or 376?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -37*l**3 + 2*l**2 + 6*l + 3. Let s be -1 + 0 + 0\/(9 - 8). Let x be z(s). Suppose t - 5 = 12. Solve -x = 4*c + 5*v, -5 + t = -4*c + v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0.2. Let n = -11.78 - -11.8. What is the biggest value in w, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19365.06 milliseconds to minutes.\nAnswer: 0.322751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**1*k*k*k*k)**(-45)\/((k\/(k\/(k*k**6*k))*k)\/(k*k*k*k\/k**(2\/11))))**(1\/2))**(-46) assuming k is positive.\nAnswer: k**(69621\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = b + 7 - 15, b = 4*p + 17. Let u(k) = -k**2 + 7*k - 7. Let g be u(b). Let h(m) = 6 - 6 - g*m. Let y(i) = -i**2. What is y(h(n))?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3715 plus -3?\nAnswer: 3712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 2*i + 0 + 5*i**2 + 4 as n + j*i**2 + a*i and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19505458 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-36)*(1 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3 - 1. Let l(g) = g + 3. Let q be (1\/(-1))\/(1\/(-10)). Let w(z) = -3*z - 7. Give b*w(d) + q*l(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -374, -2579, -8420, -19715, -38282, -65939?\n\"Answer: -303*g**3 - 84*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -302918203545 + -2.\nAnswer: -302918203547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 6*d**2 + 134*d**3 + 11*d**2 + 6*d**2 - 23*d**2.\nAnswer: 134*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m. Let d be (4\/(-14) + 288\/420)*60. Let u(c) = -24 + 68 - d - 20 + 11*c. Calculate u(y(i)).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3332264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 + -15)\/((-2)\/772). Suppose -c = -5*u + 408. Suppose 0 = -4*l - 5*k + u, -7 = 2*l + k - 131. Does 26 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7006339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 429 = 285. Suppose -w*k + 34*k + 84 = 0. Solve -k*u - u + 7 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -454, -670, -886?\n\"Answer: -216*o - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 122\/9*x**4 + 0*x + 80\/9*x**2 - 14\/9*x**5 - 244\/9*x**3 = 0.\nAnswer: -5, -4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859100688.\nAnswer: 2, 3, 1988659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2631163 (base 7) in base 12?\nAnswer: -146b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7492259030 rounded to the nearest 1000000?\nAnswer: -7492000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1064 + 1077. What is the highest common divisor of 689 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*x - 3490*x**2 + 432*x + 781*x**2.\nAnswer: -2709*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 2. Suppose -12024 = 13*k - c*k. Let r = 1166 + k. Round r to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*p - 394 = -121 + 227 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 + 6*q**2 + 7*q - 13*q - 7*q**3. Let j(x) = -4*x**3 + 5*x**2 - 5*x. Calculate -6*j(k) + 5*z(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3911507576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z - 16. Let f be o(3). Sort -5, -1, f, -3.\nAnswer: -5, f, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -324\/7 + 46. Let r = 9 - 7. Let d = -3 + r. Put d, 1, u in descending order.\nAnswer: 1, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(18)*-2*-3 + sqrt(450)*2 + sqrt(450))\/(sqrt(54)\/(sqrt(1296) + sqrt(1296) + (3*sqrt(1296) + sqrt(1296) - sqrt(1296)))))**2.\nAnswer: 4762800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/994 and 87\/56?\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1053523ml to litres.\nAnswer: 0.0001053523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 45*r - 13. Is l(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 35) + 9 - (0 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/9*(-72)\/60.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k. Let i(y) = -18064*y**2. Calculate m(i(h)).\nAnswer: 54192*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 21228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250 minus 54?\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(7)*1*-4)**2 + sqrt(1400)\/sqrt(8)).\nAnswer: 20*sqrt(7) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26665471 to the power of 1\/2, to the nearest integer?\nAnswer: 5164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 + -133.89. Let b = k - 0.71. What is the biggest value in b, 3, 1, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 941813.212482 + 1.1.\nAnswer: 941814.312482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 9*i**2 + 11*i + 7. Let m = -112 + 112. Suppose m - 20 = 2*x. What is b(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b - b - b)*(1 + 0 + 5) + 7*b - 16*b - 6*b)*(0 - 1 - 1)*(0 - 8 - 3)*(-b**2 - b + b).\nAnswer: 198*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -297753*p**5 + p - 22180 wrt p?\nAnswer: -5955060*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 t when three letters picked without replacement from mmmrsmmmmmmt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l - 318 = 5*b, 5*l + 377 = 4*b. Find the common denominator of (392\/l + 5)\/((-1)\/(-30)) and -5\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 2*314\/(-52). Let j = -16 + m. Put 3, j, 1\/2 in descending order.\nAnswer: 3, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/54553 + -2889977\/36332298. Find the common denominator of a and -149\/180.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a = -25*a - 826. Let o be 6\/(-33) - (-130)\/(-11). Do a and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is dfc96 (base 16) in base 2?\nAnswer: 11011111110010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -286, -2197, -7396, -17527, -34234, -59161, -93952, -140251?\n\"Answer: -274*r**3 + 7*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 356*y - 18 = -358*y, 2*r = 29*y - 79 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62189.52l to millilitres.\nAnswer: 62189520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 874404*r**3 - 1748733*r**3 + 4 + 874335*r**3.\nAnswer: 6*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 12 - 48 = 4*l, 4*a + l = 11. Solve p - a = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97685 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 9*n**2 + 4*n - 89. Let b be l(8). Suppose 4*z = -5*i + 17, 0*z - 5*i = -4*z + 47. Solve -z*x + 5 = -b*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 + 98*a**2 - 206*a - 96. What is f(-51)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*q - 117*q = 0. Let q*c - 4\/11*c**2 + 0*c**3 + 2\/11*c**4 + 2\/11 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 327\/13 - 2291\/104. Suppose -2*x + 0*x = 4. Find the common denominator of (-164)\/(-16)*x\/(-17) and t.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7407*r**3 - 14805*r**3 + 7410*r**3.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0*l + 10. Let w(z) = -z**3 + 5*z**2 - 3*z. Let q be w(4). Suppose -q*a + 45 = l. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 202 + 718?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1292, -10, -4, -3, -15 in decreasing order.\nAnswer: -3, -4, -10, -15, -1292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - a**2 + 3*a + 10. Let j = 380 - 380. What is w(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -6) + (10 - (9 - -5)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3662, 3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = -8. Let t(y) = y**3 + 19*y**2 - 4*y - 35. Let x be t(-19). Is x + k + -2 - -1 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1353262 micrograms in nanograms?\nAnswer: 135.3262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dftud. What is prob of sequence ud?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48295, -96168, -144083, -192046, -240063, -288140, -336283, -384498?\nAnswer: -432791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 2\/9, -38, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1 + 3*(1 + sqrt(272))*-6)*-3 + 0)**2.\nAnswer: 24624*sqrt(17) + 796401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15030278 and 366.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*u - 459 = 160*u. Suppose 255 = 5*x - 33*h + 32*h, u = 3*x + 5*h. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 4*b + 1. Let s = 41 + -44. Give v(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**4\/2 - 13*b. Let j(o) be the first derivative of o**3 - 6. What is k(j(d))?\nAnswer: 54*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzllzzlzil. What is prob of picking 2 l?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134725277.\nAnswer: 134725277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 493955984 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: How many milliseconds are there in 4368.091 hours?\nAnswer: 15725127600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(2\/(-8))\/(-4 + 0). Let u = 4474 - 4474.4. Which is the nearest to 2? (a) 4 (b) r (c) u (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 6.4, 0, -5\/7, -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 5 + 2*t**2 + 0*t**2 + 3*t**3 + t. Let g be r(-5). What is g rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmmmjmjmmj. What is prob of sequence mjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-4 + (-2 - 0 - (-13 - -9)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/203460 and -79\/210?\nAnswer: 1424220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -120, -252, -382, -510, -636?\n\"Answer: r**2 - 135*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -10\/7 (c) -1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + n - 6. Let s be g(0). Let h = 12 + s. Let j be -2 - -3 - 10\/h. Which is the second biggest value? (a) 2\/17 (b) j (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1905 and 1612265?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -186? (a) 3\/17 (b) 0.1 (c) 2 (d) 1\/2 (e) -0.058\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 10*v**2 + 4*v + 40. Let o be q(-10). Solve o = -p - i, -p - 3*i - i = 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {n: 3, x: 2, g: 1, e: 3, m: 9}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 15, 3*n + 79 = -2*u + 43. Let w(g) = -g**3 - 13*g**2 + 12*g - 21. Determine w(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*r**(6\/7)\/r)\/(r**(-12)*r*r))**(2\/87))**(-25))**38 assuming r is positive.\nAnswer: r**(-157700\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*7\/147*1\/(-3).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)*s**2)\/((s*(s**(-1)*s)\/s)\/s)**(-2\/19) assuming s is positive.\nAnswer: s**(-78\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-6*5\/15*-1).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5880\/(-10))\/(-14)*2134\/(-1358).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*n**4*w + 75*n**2*w**2 - 7397*w**2 wrt n.\nAnswer: -60*n**3*w + 150*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -19*r + 40. Let h be x(-8). Let i = h - 185. Calculate the greatest common factor of 49 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5398 or 5405?\nAnswer: 5405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 + q**2 + q**2. Let s(m) = -8*m**2 + 6*m + 6. Let f(n) = 15*n**2 - 11*n - 11. Let v(t) = 6*f(t) + 11*s(t). Determine v(x(i)).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by -29746?\nAnswer: -41\/29746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppappppppppp. What is prob of picking 2 p?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 390?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2. Let q(o) be the first derivative of 2 + 0*o**2 + 5\/3*o**3 + 0*o. Calculate g(q(l)).\nAnswer: -25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -474 divided by -6.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 300, 734, 1356?\nAnswer: 2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.027?\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/2)*l**2*(l\/(l**8*l))\/l**2 assuming l is positive.\nAnswer: l**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 209518*a**4 - a**2 - 134356*a + 2 wrt a?\nAnswer: 5028432*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15486 divided by 6\nAnswer: -2581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053981*l + 3554582*l - 636284*l + 1758207*l.\nAnswer: 5730486*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8644 (base 9) in base 7?\nAnswer: 24352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 921341917 - 921341963.00000152. Let a = 46 + c. Round a to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*u + 19 - 7 = 3*a, -2*u = 5*a + 54 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f - 1. Let v(y) = 11*y - 1. Suppose 35*a + 210 = 40*a. Suppose -a + 2 = -5*u. Give u*i(m) - 5*v(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 145 = 47. Calculate the remainder when 191 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4298 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = 0, -2*j = -j + 5*b - 61. Let v = -44 + j. Suppose -v*q = -2*g + 24 - 194, -367 = -4*q - 5*g. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 10429340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -24*(-6)\/30)*-5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-8)*(0 + (-4)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740656283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 8*s + 9. Let d be l(7). Suppose -d*u = -3 - 35. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4749 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.888 + 16.888. What is the closest to -5 in q, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4338 > -4320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44187 + 73942. What are the prime factors of v?\nAnswer: 5, 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(8)\/sqrt(4)*-1)**2 - (sqrt(2) + (sqrt(8)*2)\/sqrt(4))*-4.\nAnswer: -6 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2160, 1529, 978, 549, 284, 225, 414?\n\"Answer: 7*w**3 - 2*w**2 - 674*w + 2829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52339 - 63979 = -2162*i + 39553 + 80689 for i.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 647387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -2.1 in decreasing order.\nAnswer: 6, 1, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -3, -58 in ascending order.\nAnswer: -58, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 2 + 12*i**2 + 4*i**2 - 11*i**2.\nAnswer: -2*i**3 + 5*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 3*l**4 - 4*l**4 - 2*l**2 + 9*l**4 - l**3 to f + g*l**2 + y*l**4 + x*l + k*l**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27813, 56288, 84763, 113238, 141713?\n\"Answer: 28475*q - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 12. Suppose r*o + k - 2 - 2 = 0, -2*o - 8 = 4*k. Suppose 0 = n - 3, -3*d + o*d = 2*n + 47. Is 53 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -26*z**3 + 8*z**2 + 14*z + 19. Let k be (-5 - (-2)\/(-1)) + 3. What is the units digit of p(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 - 71. Do -4\/83 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**2 + 8*i**2 + 12*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a57 - 2?\nAnswer: 3a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 7.9?\nAnswer: 1.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7771276427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 8b8204c?\nAnswer: 8b82050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Let d(o) = -232*o. Calculate z(d(h)).\nAnswer: 464*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d = 0. Let l = 3 - d. Suppose -z + l*z = 800000. What is z rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 4 - 281*h**2 + 12*h - 5*h - 280*h**2 + 554*h**2 - 3. Give o(7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/3 (b) 0 (c) -0.8 (d) -3\/11 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.073 in -0.42, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 b when four letters picked without replacement from {d: 3, b: 1, e: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5840971651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 8. Let l(q) = -1. Let t = -1437 + 1438. Determine t*w(j) - l(j).\nAnswer: j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -6, -2 in ascending order.\nAnswer: -6, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 27601.\nAnswer: 1\/27601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17 and 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 + 2 - 2)*(-3 - 1 + 2) - 184*p**2 + 95*p**2 + 254*p**2 as q*p + z*p**2 + n and give z.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(16\/(-20))*-1. Suppose -j*d + 360 = 5*x, -2*d = -3*x + x - 144. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13100002 (base 5) to base 8\nAnswer: 372177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 - 1 + 1 + 2*i**2 - 1 + 1 + (-2*i**2 + i**2 + 2*i**2)*(0 - 1 - 1) - 6*i**2 + i**2 + 3*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 13 - 5 - 3 - 3 - 1378*w**2.\nAnswer: -1378*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g**4 + 136*g**3\/3 + 44*g**2 - 104*g + 134\/3 = 0 for g.\nAnswer: -67\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u - 18. Let a(d) = -17*d**2 - 4079*d. Determine b(a(k)).\nAnswer: 68*k**2 + 16316*k - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 2*q**2 - 5*q + 4. Calculate p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/12*(-285)\/(-30) and -8\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/135 smaller than 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110101110111101010010 (base 2) to base 12\nAnswer: 711642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35\/2 + 18. Let v be -1 + 4\/14 + 1. Let k be (1 + 0)*5\/(-5). Which is the closest to k? (a) -3 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1033 is divided by (-1)\/((-3444)\/(-690) - 5).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*u + 678 = -0*u, f + 2*u - 146 = 0. Suppose -f = -5*y - 13. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186759300 rounded to the nearest 100000?\nAnswer: 186800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 176993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-15))\/((-6)\/45). What is the third derivative of 21*y**5 - 253*y**2 + 42*y**2 + 28*y**5 + 24*y**3 - 48*y**t wrt y?\nAnswer: 60*y**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j - 4. Let s(q) = -q - 1. Let p = -5 - 1. Let b be s(p). What is the units digit of c(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 8:50 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7638 and 30552.\nAnswer: 30552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 937663, 937662, 937661, 937660, 937659?\nAnswer: 937658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, u: 1, t: 4}. What is prob of picking 2 n and 2 t?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 113, -39\/4, 3\/5, 21?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91\/57 + 5\/19. Let n be (-7)\/35*-21 - 4. What is the third smallest value in n, 0.1, b, 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j\/((j*j\/(j**(-3)\/j))\/j*j))\/j))**(-22\/9)*(j*j**7\/j)\/j**(-10))**(-20\/11) assuming j is positive.\nAnswer: j**(-140\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27856258284 - -12434.\nAnswer: -27856245850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -24. Let y be 144\/60 + m\/5. Suppose 0*r = y*r - 15. What is the smallest common multiple of 2 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/1*((-30)\/(-8) + -3). Suppose h = -d*h + 108. Calculate the least common multiple of h and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203311 (base 4) to base 7.\nAnswer: -6454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**5\/60 + t**4\/4 - 3*t**3\/2 + 3*t**2\/2 - 3*t. Let g(m) be the first derivative of c(m). What is g(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40647.6 + -34397. What is k rounded to the nearest ten?\nAnswer: 6250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7499, -15005, -22513, -30023?\n\"Answer: -o**2 - 7503*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k*k**12)\/k*k*k**(-17\/3)*k)\/((k*k**(10\/9))\/(k\/k**15)))**(-32) assuming k is positive.\nAnswer: k**(1664\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 308?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 15 + 0 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4043 is divided by 459?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9074703 divided by 219?\nAnswer: -41437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 77, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28850 by -5770.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 69*v**2 + 4*v + 3. Let p be y(2). What is the greatest common factor of p and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 8 = -4*o, 0 = 98309*r - 98310*r + o - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 - (8 + -2 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -28. What is the nearest to a in 1\/2, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11359 and 2694.6.\nAnswer: -30607961.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3\/5 (b) -23 (c) -0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**5 - 4*x**5 - 3*x**5 + 2*x + (-2*x**5 + x**5 - 2*x**5)*(2 - 1 + 1).\nAnswer: -7*x**5 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222916822.0000238 + -222916752. Let f = h + -70. What is f rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjfjsffvjjjfix. What is prob of sequence fvxs?\nAnswer: 5\/24024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 10. Let x be v(-7). Solve x*d = 3*y + 8, -y - 2*d - 2*d = 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + sqrt(1700)*1 + -1)**2 - (sqrt(833) + -2 + sqrt(833) + sqrt(833) + 3)**2)*4.\nAnswer: -2788 - 328*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2861, 2858, 2855, 2852, 2849?\n\"Answer: -3*d + 2864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 20 = 3*k. Let s be (1 - 0)*(-45)\/k. What is the derivative of 20*y - 2 + 8 + s wrt y?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62934 - 83376 = -2*k + 56792. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*m**2 - 3*m**2 + 2*m - 2*m in the form v*m**2 + u*m + l and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 2*i - 25. Let z be u(0). Let b = z + 113. Calculate the greatest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from tttttttwttww?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqy when three letters picked without replacement from lcrqlyllr.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**3*c)*c)**(-3)\/(((c\/(c\/((c*c*c**(3\/5))\/c)*c))\/c)\/c**3) assuming c is positive.\nAnswer: c**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -46233.4463 and 22376.\nAnswer: -23857.4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 527011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 49\/5 of a century?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -14. Let c(h) = h**2 + 5*h + 5. Let b be c(i). Suppose -2*x + 4*l = -3*x, 2*x - b*l = 13. Solve -3 = x*t + 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k. Let l(v) = 2*v - 83426. Give l(o(a)).\nAnswer: 8*a - 83426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105828 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 8 - 42\/5*h + 2\/5*h**2 = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 2*u - 1\/3*u**3 + 2*u**2 - 9. Calculate g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/12))\/p*p)**(2\/5) assuming p is positive.\nAnswer: p**(11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (765\/(-34))\/15*(-1)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 47*j**2 + 8. Let d(f) = -2*f**2. What is d(k(q))?\nAnswer: -4418*q**4 - 1504*q**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10632 (base 8) to base 11\nAnswer: -3427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwbwwbbnb. What is prob of picking 1 b and 3 w?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -5, 0.05, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 - 40278*v\/5 + 135193107\/5.\nAnswer: 3*(v - 6713)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3517 + -3514. Sort m, -1, 20, -7.\nAnswer: -7, -1, m, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 109.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 550, -1 in decreasing order.\nAnswer: 550, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (16\/3 - 5)*(0 + 84) is divided by 62\/8 - (-1)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4100 + 19*v**4 - 1462 - 3*v**3 - 1942 - 37*v**4 + 9*v**2 + 641 wrt v?\nAnswer: -72*v**3 - 9*v**2 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3150 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2211)\/5 + 9\/45. Is (-4 - y)\/2 + 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*p**4 - 4*p**3 - 3*p**2 + 142.\nAnswer: -1896*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12473*v - 60*v**2 - 16 - 12473*v to the form j + n*v**2 + t*v and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11042.53 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-9\/4)\/r*r)\/r**14)\/(r**0\/r*((r\/((r\/(r**(-8)*r))\/r))\/r)\/r))**(1\/25) assuming r is positive.\nAnswer: r**(-29\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - l**2 + 155. Let d be v(0). Let k = 175 - d. Solve -3*u + k = -8*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 + 5 = 0. Let d be n\/1 + (6 - 1). Suppose -3*y = 4*w - 23, -4*w - 5*y + 1 = -d*w. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11641963905 - -15.\nAnswer: -11641963890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 6. Let q be c(6). Let a = 0 + -41. Is (q + 1)\/((-1)\/a) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 2:37 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 25. Let s(x) = -3*x + 1944. Determine w(s(m)).\nAnswer: -9*m**2 + 11664*m - 3779111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/29)*x*x)\/(x**(-3\/8)*x))\/((x\/x**(-15))\/x**5) assuming x is positive.\nAnswer: x**(-2217\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -15*h - 755. Calculate f(-48).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 0)**2 - sqrt(1911)\/sqrt(3) - (sqrt(52)\/(sqrt(20)\/sqrt(5)) + 3)*2) + 5.\nAnswer: -9*sqrt(13) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74.7 - -71. Let i = 4 + q. Sort 1, -0.6, i in descending order.\nAnswer: 1, i, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {y: 1, o: 1, n: 1, p: 5, w: 6, v: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*f - 4*q, 4*f = 4*q - 7 - 21. Let h be ((-20)\/(-75))\/((-4)\/f). Put 5, h, -8 in increasing order.\nAnswer: -8, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-11) + (-2210)\/(-17248). Let p = -6\/49 + t. Suppose w = 4*w. Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9893604 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 4. Let t be z(5). Let s = t - 0. Solve 4*r - r = 2*p + 8, -5*p + s = 3*r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45596065 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4509, -4521, -4571, -4677, -4857, -5129, -5511, -6021?\n\"Answer: -3*b**3 - b**2 + 12*b - 4517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4 = u. Suppose 0 = 2*c + i - 42, i + 28 = c + u. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14050 by 281.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 - 8846*r - 902581\/6.\nAnswer: (r - 53093)*(r + 17)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(15\/(-2))*(-68)\/(-272)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5996081677 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11150*c*f**2*r - 324*c*f*r**2 + 3*c*r**2 + c + 37*f**3*r**2 + 46*f*r**2 wrt f.\nAnswer: -22300*c*r + 222*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*n - 63*n + 8742 = -71*n for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/10 (b) -2 (c) 0 (d) 0.2 (e) 5.32 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 1, j: 4, p: 5}. Give prob of sequence jjpp.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*19.\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4 + 57227*v**3 - 57222*v**2 - 228908*v + 228904 = 0. What is v?\nAnswer: -2, 1, 2, 57226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3525522136.\nAnswer: 2, 440690267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 3*l**3 + 2*l**3 + (-3*l + l + l)*(-2 + 2 + l**2) + 2*l**3 - l**3 - 3*l**3)*(-1 - 1 + 0)*(-1 + 1 - 1).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 2*y**2 + y**2)*(0 + 2 + 1 + (4 + 1 - 2)*(6 + 1 - 5) - 6 + 7 - 7).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 32*t**2 + 20*t - 56.\nAnswer: 4*(t - 1)*(t + 2)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrranrrazrzra. What is prob of sequence zzr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -849*t - 107*t - 714*t - 460*t + 470*t as y + f*t and give f.\nAnswer: -1660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d**2 + 111*d + 144. Suppose 28 = -2*o + 38. Let l be 4 - -3*o\/15. Let x(r) = 2*r**2 - 22*r - 29. Let i(t) = l*y(t) + 24*x(t). Factor i(n).\nAnswer: 3*(n + 1)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55167689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -34*t**3 + 4*t**2 + 2*t + 6. Let m(x) = 2*x**3 - 2*x**2 - 1. What is -h(k) - 4*m(k)?\nAnswer: 26*k**3 + 4*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*m**4 - 2*m**3 - 515*m**2?\nAnswer: 2712*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -95248, -190493, -285714, -380905, -476060, -571173, -666238?\n\"Answer: i**3 + 6*i**2 - 95270*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2047 is divided by 108.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423447 is divided by 67.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12736*k - 12586 = -12330*k for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1767364 and 416.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)\/n**(-1\/7)*n\/(n**(2\/3)\/n)*n**(-6\/5))\/((n*n*n\/(n**(-1\/2)*n)*n)**(-27\/4)*n**3*n**(-6\/7)) assuming n is positive.\nAnswer: n**(2011\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-4)\/(-8))\/((-3)\/30))*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, 272.88, 2.2 in descending order.\nAnswer: 272.88, 2.2, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/11)*p\/(p**(-7)*p)*p*p**6*p**(-1\/4) assuming p is positive.\nAnswer: p**(597\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2596 = -20\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**3 + 6*g**2 + g - 6. Let a(q) = 5*q**3 - 7*q**2 + 6. Let f(w) = 3*a(w) + 4*j(w). Let b be f(4). Suppose -18*i = -21*i - 18. Is i less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*u - 4254, 2281 = o + 2*u + 860. What are the prime factors of o?\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134368, 268733, 403096, 537457?\nAnswer: 671816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8496 divided by 36\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 3.45, 1\/262, 4, 7, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3489, 3488, 3487?\n\"Answer: -d + 3490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -18. Which is the third smallest value? (a) -4 (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12e26c80 - -5?\nAnswer: 12e26c85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58 and 1?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 13949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5223*-1576.23\nAnswer: 8232649.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(-2)\/k*k*k)\/k)\/(k\/(k\/((k**(-2)*k)\/k))))\/((k\/(k\/(k**1\/k)))\/(k\/(k\/(k\/(k*k*k\/k**(2\/7)*k)))*k*k)) assuming k is positive.\nAnswer: k**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.332 + -0.262. What is the closest to 0.1 in -0.5, b, 0.06?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15366\/5 or 3074?\nAnswer: 15366\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1423?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o + 37. Let c(a) be the second derivative of -11*a**3\/6 + 55*a**2\/2 - 723*a. Calculate 5*c(g) - 8*y(g).\nAnswer: g - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 45, -0.07 in decreasing order.\nAnswer: 45, 0.4, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1170 = -l, 3*l - l = 4*c + 1176. Let d = 411 + c. Does 27 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2\/5 - 2\/5*c**2 - 4\/5*c = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17365, -34725, -52083, -69439?\n\"Answer: j**2 - 17363*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*t**3 + 14*t + 10*t - 16*t**2 - 24*t + 14*t**2.\nAnswer: 197*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356 divided by -89.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*o = -4, -2*o + 4 - 2 = 0. Solve 2 = m*t - 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3685 (b) -0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-9)*21\/64 - 3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-9 - -6) - 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7484554, -29938225, -67361010, -119752909, -187113922?\n\"Answer: -7484557*p**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2204984 and 38\/2480607?\nAnswer: 19844856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljjjjljjlllrllrll. Give prob of sequence jlrj.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 379881 - -1c?\nAnswer: 3798a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 220\/140 + 9\/21. Suppose 642 = m*w - 332. Which is greater: w or 488?\nAnswer: 488","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9133, 1, -57, -3 in decreasing order.\nAnswer: 9133, 1, -3, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -184, 0.5, -82293 in increasing order.\nAnswer: -82293, -184, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*i**3*x**2 + 10*i**3*x - 2*i**2*x - 221*i**2 - 217*x**2 wrt x?\nAnswer: -128*i**3 - 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 45.7, -0.3, -0.12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 18. Suppose o - 2 = l. Suppose -4*d + p + 152 = -3*p, 195 = 5*d - l*p. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(-1)\/k))\/(k**(-2\/5)\/k)*k**3\/(k**(2\/5)*k*k))\/((k*k**1)**41*k**0*k**(3\/5)) assuming k is positive.\nAnswer: k**(-383\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + (17 - (17 - 7))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -661 + 4?\nAnswer: -65a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.734064 kilograms in tonnes?\nAnswer: 0.005734064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than 0.665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -10*n**2 + 1373*n + 2327. What is o(139)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -9*f + 4*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 5*v - 24. Let i be 6\/(-21) + 210\/392 - (-15)\/4. Let k(s) = -2*s**2 - 4*s - 23. Determine i*u(o) - 5*k(o).\nAnswer: 2*o**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5331\/12 + (-3)\/12. Let j = -33 + s. Calculate the remainder when 53 is divided by j\/15 - (-6)\/(-15).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 + (-4 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38746 less than 18.2?\nAnswer: 38764.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4502962058 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01 and 74839989536.\nAnswer: 74839989536.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2341 - -2387. Put 0.4, -0.7, j in ascending order.\nAnswer: -0.7, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16280492?\nAnswer: 2, 17, 19, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 28271 * 26\nAnswer: 735046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 282058 times 0.027?\nAnswer: 7615.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 1309, -22, 8, -6 in descending order.\nAnswer: 1309, 8, 1, -5, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {y: 5, o: 13}?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -2 + -2 - 2. What is the common denominator of 41\/18 and -1 - 2 - w\/(-28)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.93 (c) 2\/11 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h**2 + 59*h - 14. What is n(-8)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1259780 by -314945.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-224)\/(-147))\/(25056\/3654).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.392419 to two decimal places.\nAnswer: -54.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 152 - -43932?\nAnswer: 44084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -276 - (-22 - -16). Let a = -282 + c. Let x be 2\/3 + (-13)\/(-3). Solve a*b = 3*r + b + 4, -5*r - x*b = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 5*w + 22. Let j be n(0). Solve x + j = -5*z, z - 2*x + 11 = -0*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4552 = -7*i + 5*i + x + 4514, 49 = 5*i + 2*x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069308462?\nAnswer: 2, 3, 178218077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/780 and 97\/1326.\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 c, and 2 k when four letters picked without replacement from ekpcrke.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1104 and 72?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - b + 42208 + 74790 = 0. Is 78 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -0.6, -3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 13*b + 53. Let v be f(-16). Suppose -4*t - 5*u = -127, -6*t + v*u = -t - 170. Let m = 6 + t. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 151466 and 367846.\nAnswer: 2574922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6162*h**4 - 3*h**3 + h**2 - 1740*h wrt h.\nAnswer: 147888*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*d = -724, 0*y + y + 5*d - 332 = 0. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 1. Suppose -r + 0*i = 5*i + 23, 4*r + 41 = -3*i. What are the prime factors of m(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.87 + -15.392. Round b to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19145483983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14*413\/118. Let u(l) = l**2 - 3*l + 1. Let y(c) = -c**2. Give j*u(s) - 3*y(s).\nAnswer: 4*s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4*(-384)\/22)\/(8\/(-44))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7670848 to the nearest integer?\nAnswer: 2770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.3, 2\/3, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.286 take away -0.0933?\nAnswer: -0.1927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349570294?\nAnswer: 2, 127, 313, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(7) + -1)**2 + sqrt(7) - (sqrt(28)\/sqrt(4) + 0)**2.\nAnswer: -sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 545.5456 centuries in years?\nAnswer: 54554.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 28 = -5*n, -3*b + 2*n + 44 = 45 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20101102010 (base 3) to base 16.\nAnswer: -1eaf8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1 + 6 + j - 2. Let y be v(-8). Put -1, y, -2 in ascending order.\nAnswer: y, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16205 is divided by 15821.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/21 and 221\/(-24) + 8 + -5.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 3*m = 15*b - 3, 2*b - 1 = -m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 7. What is the third derivative of -7*b**2 - 15*b**3 + b**2 + 3*b**2 - x*b**2 wrt b?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16444.\nAnswer: 2, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/28*(-287)\/82)\/(((-42)\/(-9))\/(-1))?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2103210 (base 8) to base 16\nAnswer: -88688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 67.59, 0.4, -1\/5, -15, -0.7 in decreasing order.\nAnswer: 67.59, 0.4, -1\/5, -0.7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 2*g**2 - 7*g + 2. Let d be 12 - -1 - (-1980)\/(-198). What is l(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/(-510)*((-1706)\/(-72) - 292\/(-5256)). Find h such that 40\/17*h - 2\/17*h**2 - k = 0.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6798 or -6685?\nAnswer: -6798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -20*y + 2743. What are the prime factors of y?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3832 greater than or equal to 141814\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 5. Let u be h(3). Let g = 176 - 111. Let y = 66 - g. Which is the fourth smallest value? (a) y (b) u (c) 2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**3 - 15*a**4 + 2*a**4 + 1 + 6*a**4 + 7*a**4 + 2*a**4 - 3*a**2 to g*a**3 + l*a**4 + u*a**2 + k*a + q and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*o = -16, 0*o = 5*p - 4*o - 16. List the prime factors of (-162)\/4*p\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1090 + -683. Calculate the remainder when m is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 13*p**2 + 19*p - 82. Let r be z(12). Solve -4 = 2*u - r, 0 = -5*i - u - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 13*f**2. Let y(a) = -11*a. Determine d(y(c)).\nAnswer: 1573*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -375 at most as big as -377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -54913*q - 10323631. Determine b(-188).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-30) + 658\/12.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 234 = -m, 9*m - 13*m + 1008 = 2*q. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 497356.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 10, 15, 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38357, -38263, -38169, -38075?\n\"Answer: 94*y - 38451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-78)\/(-14) - (576\/42)\/24) + -1009. Put 5, 2, l, -2 in increasing order.\nAnswer: l, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*w + 25*w + 30*w + 31*w - 116*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1495*s**2. Let i(r) = -r. Give m(i(j)).\nAnswer: 1495*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 896\/50 + (-72)\/(-900).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -23*b**3\/6 + b**2 + b. Let m be o(-4). Suppose 2*t = m + 16. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**5 - 117549*y**4\/2 + 288149190*y**3 - 2733289791*y**2 + 5751086535*y + 7189776075\/2 = 0?\nAnswer: -1\/2, 5, 9791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-6)\/(6 + 12) - 0). What is the nearest to 1 in -2, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**4\/4 + 5*o**3\/3 + 3*o**2\/2 - 7*o + 3. Let q be v(5). Let g = q + -6. Solve g*h - 2 = -0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(147) - (3 + sqrt(6)\/sqrt(2))) + 3*(-1 + -3*sqrt(12)).\nAnswer: -54*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 364423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x - 43476799*x**3 + 12*x.\nAnswer: -43476799*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1750911 is divided by 36?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56 and 249178072?\nAnswer: 249178128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4 - 48\/(-448).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5685 and 733125093?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/1207879, 3, 123\/5?\nAnswer: 123\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 824 + -824. Suppose 9*i - 32*i + 161 = d. Solve 7 = i*b - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*x - 113*x + 53*x = -336. What is the highest common factor of 2982 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 + 6*h**3 - 10*h**3 + 6*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6798558?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 1, w: 1, j: 1, v: 1}. What is prob of picking 1 j and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*s**4 + 5580*g*s**3 - 10854*g*s**2 + 2*s**2 wrt s.\nAnswer: 48*g*s + 33480*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 686 - 681. Sort 29, -3, t.\nAnswer: -3, t, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -663*z**2 - 15*z + 5. Let s(l) = 662*l**2 + 12*l - 4. Give -5*s(a) - 4*y(a).\nAnswer: -658*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/8 (c) -1\/3 (d) 5 (e) -448\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 11:22 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/3 (b) 1 (c) -206762\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2534929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**6\/150 - n**5\/15 - 7*n**4\/30 - 2*n**3\/5 - 11*n**2\/2 + 6. Let s(j) be the second derivative of h(j). Factor s(v).\nAnswer: -4*(v + 1)**2*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 11, t: 7}. What is prob of sequence ppt?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*2\/(-60)*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6772b6 (base 15) to base 6.\nAnswer: -253434343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -197 + 3745\/19. Is -1 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 11*a**6\/8 + 171*a**5\/20 - 183*a**4\/8 - 226*a**3 - 324*a**2 - 96*a + 2353. Suppose n(v) = 0. What is v?\nAnswer: -4, -1, -2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1930*h. Let u(s) = -381*s - 2. Calculate r(u(n)).\nAnswer: -735330*n - 3860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 94353.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 10*c + 8. What is the remainder when n(9) is divided by 93\/18 - 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let g be (-8)\/(-10)*(s + 3). Which is the nearest to -1? (a) g (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -27*z + 2524. Let s be w(0). Suppose -3785 = -3*a - 2*v, 2*a - s = -v - v. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 - (-414)\/21. Suppose 7*h = 3*h - a. Suppose -s = -3*s + 6. Sort -2, h, s.\nAnswer: h, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -335*v**3\/6 + 265*v**2\/2 - 8*v + 1. What is the first derivative of t(i) wrt i?\nAnswer: -335","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144 + 91 + 2 + -2 + -29 + 34 + 0\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 + 1 + -4 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-462)\/(-245))\/11*4\/(-12)*10.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/5)*g**(-7)*g**(-7)*((g*g*g**(2\/29)*g*g)\/g)\/g assuming g is positive.\nAnswer: g**(-1788\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.828802 to 2 decimal places.\nAnswer: 4.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30330 + -1303220?\nAnswer: -1222340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*r + 12 + 72*r + 8*r in the form d*r + q and give d.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.81 + 2.19. Let c = -1\/73 + -212\/511. What is the second biggest value in 0.2, c, n, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*i - 94, -5*i + 4*i = -4. Let q = 30 + r. Solve x - 3 = 2*o, q + 1 = -2*x - o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22, 44, 66, 88, 110, 132?\n\"Answer: 22*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = 3*p - 20*p. Suppose -n - 23 = -a, n - 85 = -3*a - 4*n. Calculate the highest common divisor of p and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c + 5. Calculate the lowest common multiple of 4 and r(10).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -62*r + 22. Let g be 80\/(-120) + ((-32)\/6 - -1). What is the tens digit of u(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6257, -2, 30 in increasing order.\nAnswer: -6257, -2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 98109.86l?\nAnswer: 98109860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 + 3*t**3 - 3*t**2 + (-2 - 2 + 2)*(-2 + 2 + t**3) + (-2*t**3 - t**3 + 0*t**3)*(4 - 2 + 0).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbsubsbbjbssbsszbuz. What is prob of sequence usb?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**2 - 85*q + 950?\nAnswer: 4*q - 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2306*t - 217371 = 9*t - 526*t for t.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*c**2 - 29*c + 15 - 3*c**3 + 29*c.\nAnswer: -3*c**3 - 135*c**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*p = -177*p + 371*p + 829 + 23875 for p.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/28*(-2 - 245\/(-75)) and 113\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + u. Let h be c(1). Let j(f) = f**3 + 4*f**2 + 2*f - 1. Let t be j(-3). Find the first derivative of -3 + h - t + o wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03288 * -0.03.\nAnswer: -0.0009864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.581 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/8 + 150\/16 and 322\/(-44) + (-6)\/33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 6:49 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - d - 8 = -1, 4*d = 2*r. Solve -b - 13 = 8*p - 4*p, r*p = 4*b + 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 110.35827 microseconds?\nAnswer: 0.000000030655075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4067*f**3*z**3 - 6*f**3*z**2 + 954*f**3 wrt z?\nAnswer: -24402*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 3)*(-54*v**4 - 5*v**5 + 4*v**5 + 16*v**4 + (-2 + v + 2)*(-3*v**4 + 2*v**4 + 3*v**4)).\nAnswer: -4*v**5 + 152*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59247 is divided by 161?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + -6*((2*sqrt(121) - sqrt(121) - sqrt(121)) + sqrt(121)) + sqrt(121))\/(-2*sqrt(33)\/sqrt(3)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {f: 4, e: 4, w: 8, c: 1, o: 1, k: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*y**4 - 105 + 136 - 11*y**4 - 7*y**4 + (3*y**3 - y**3 - y**3)*(6*y + 0*y - 5*y) + 4*y**4 - 2*y**4 - y**4.\nAnswer: 6*y**4 + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -0.56, 1\/3, -407\/4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(4\/11)*r)*r*(r\/r**(2\/49))\/r*r)\/((r**25\/r)\/(r*r\/(r\/r**28))))**(3\/19) assuming r is positive.\nAnswer: r**(9048\/10241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from pknkknhhnyuhunp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2 = 3*w. Suppose 0 = 4*v - w + 9, -5*u - 5*v = -5. Suppose -2*q + 28 = -0*t - 4*t, -t + 7 = u*q. Which is greater: t or -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -343832 - -5?\nAnswer: -343826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from ccwjjhwacjgg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4037?\nAnswer: 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/15)*(l\/(l*l\/l**(-2\/17)))\/l*l**(-4)*(l*l**(-2\/17)\/l)\/(l**(-3)*l)*l**(-29) assuming l is positive.\nAnswer: l**(-8543\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 20\/9, -2\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 21?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 26023540?\nAnswer: -26023543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.17 - -0.2. Let v = -3.97 - x. Which is the second smallest value? (a) -2\/11 (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11944, -11940, -11918, -11866, -11772?\nAnswer: -11624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9767972455184641\/388038 - 176209049462\/7. Let c = -2\/9239 + h. Let v = -3500 - -24446\/7. Find the common denominator of v and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.2772ug in tonnes?\nAnswer: 0.0000000000532772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + 46. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289284.\nAnswer: 2, 3, 24107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 6, k: 2, x: 5}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/(-8))\/(-5)*2. Let t(h) be the second derivative of -h**5\/20 - h**4\/12 + h**3\/6 + h**2\/2 - 2*h. Let g be t(o). Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12570, -50312, -113222, -201300, -314546, -452960, -616542?\n\"Answer: -12584*y**2 + 10*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let g(o) = -8*o - 1. Give -g(d) + 6*s(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 u when four letters picked without replacement from {u: 2, y: 2, d: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*g**2 - 4490604*g + 4490604*g.\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 - 1.5619597.\nAnswer: -225.5619597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 w when four letters picked without replacement from oooooooooooowowoooo?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137802*j**3 + 77*j**2 + 776*j + 70993 wrt j?\nAnswer: 826812*j + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 3:45 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, b: 2, f: 8}. What is prob of picking 1 s, 2 f, and 1 b?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2137 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*o + 1379 + 1261, o = -3*t + 2000. Let w = 1124 - t. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291953897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/30 - 4251\/(-30). Find the third derivative of -135*y**2 + o*y**4 + 201*y**3 - 201*y**3 - 188*y**4 wrt y.\nAnswer: -1104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(18 + 6 + 2*k**5 - k**5).\nAnswer: -k**5 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -95712, -191427, -287144, -382863, -478584, -574307, -670032?\n\"Answer: -g**2 - 95712*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-988)\/8 - 4)*8\/(-10). List the prime factors of 2\/4*-3*(-12 - l).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 + -137. Suppose 3*s = -7*s + o. Suppose 4*p - c = 76, -4*c - 20 + 94 = s*p. Calculate the remainder when 32 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 607636541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (4 - 8)) + (-22 - -42)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h - 7*z + 9*z - 52, z = -5*h + 23. Let j = -49\/39 + -1\/13. What is the second biggest value in h, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*b - 6 = 0, 9*v + 11 = 5*v + b. What are the prime factors of 5 - (-1459 - 24\/v)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 11*c = 511 - 633, i + c + 54 = 0 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p + 3*j - 14, 0 = 3*p + 2*j - 56. Let b be (-16)\/p*(-10)\/4. Find the second derivative of s + 8*s**2 - 17*s**2 + b*s wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27704643 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 173 + 23. Let a be (-2)\/(-7) + (-7)\/m*-383. Find the third derivative of 11*b**3 + a*b - 18*b**2 - 4*b**2 - 55*b wrt b.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxb when three letters picked without replacement from bbxbbbkkxbkkb?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 32928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -507\/14*n**3 + 0*n + 0 - 1\/420*n**5 - 13*n**2 - 13\/28*n**4. Factor z(b).\nAnswer: -(b + 39)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/53 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 66. Let b = -18.86 + g. Let h = b + -1.14. Sort h, 1\/3, 1\/4.\nAnswer: h, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 - 561 - (-16 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 338518180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 6*t + 1584 = 0. Suppose -5*i + 5*y - 440 = 0, -3*i + 2*i - 2*y = t. Let w = i - -89. Are 22\/19 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*q - 5*r, 33*q - 34*q + 5 = r. Let z = -21 - -21. Solve q*t + 6 - 14 = z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-6 + -20 - -10)) + 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (5 + sqrt(175) + 0 + sqrt(175) - sqrt(175)))*-5 + 1 + 2 + 3)**2*-6.\nAnswer: -29706 - 7200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-432))\/(1 - 5\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.09, 312.\nAnswer: 0.09, 9, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19837124 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (22 - (-4094)\/(-161))\/((0 + (-8)\/(-20))\/(-7))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 64725120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k = -3*m - 14, -3*k = 2*m - 16. Let y(n) = -n**2 + 2*n. What is y(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20923 and 243187.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 996 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - o + 3*o)*((0*o - 4*o + 13*o)*(1 + 1 - 20) + (-o + 2 - 2)*(0 - 3 + 1)) as c*o**2 + i*o + l and give c.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from ykgbbnnntbggk?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 13*d - 107. Suppose 0*l + 4*l = 4*k - 68, -4*k + 2*l = -72. Does 14 divide f(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxp when three letters picked without replacement from peffxfffxfeepxlfbff?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 52*d**3 + 566792*d**2 + 2832660*d = 0.\nAnswer: -141633\/13, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8048, -8845, -9642?\n\"Answer: -797*h - 7251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-28)\/(b*(b**(-7\/3)*b)\/b))**(1\/25))**(-26) assuming b is positive.\nAnswer: b**(416\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 40 = 2. Let a(y) = -y - 2. Let q be a(v). Suppose -5*f - 5*l = -180, 2*l - 177 = -q*f - 2*l. Calculate the greatest common divisor of f and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 4*z**2 - 4*z + 2. Let p be q(-4). Let n be (-48)\/1*6\/(-4). Calculate the greatest common divisor of p and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 122*y - 293. What is j(63)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 0 + -1 + sqrt(847))**2.\nAnswer: -32*sqrt(7) + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 + (-62 - -12) + 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*x + 16 = 0. Let r(p) = p**3 + 7*p**2 - 10*p + 3. List the prime factors of r(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 - 5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 291*g - 33. Let s be v(-7). Round s to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 + 4667 - 4667.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5347 - 392?\nAnswer: -5719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-15)*(-185)\/(-148)*11\/3\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) -3 (b) 18 (c) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -13681 and -13681 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/15 + 164\/410?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/24*(-3)\/(-9)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*a**4 + 154*a**3 - a + 7581 wrt a?\nAnswer: 36*a**3 + 462*a**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (0\/3)\/1. Suppose -s*k - 8 = -4*f, 3 = 5*k + f + 1. Let n(z) = z + 15. Determine n(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y - 2. Let l(t) = -2 + 45*t - 151*t + 49*t + 64*t. Determine -5*l(o) + 6*p(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5437541582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s*z**3 + 319*s*z**2 + 97*s - 4292*z**3 - 2*z**2 wrt s?\nAnswer: -2*z**3 + 319*z**2 + 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 + 5*d**3 + 170 + 0*d**2 + 0*d**2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m - 8*m + 0*m + (4 - 3 + 1)*(-2*m - 1 + 1) + 0*m - 2*m + 0*m.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 81*r**2\/2 + 419*r - 5269. What is v(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1152) + 1 + sqrt(128)*2 + 4*2*sqrt(2).\nAnswer: 1 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = -836*o + 837*o. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 11. Let u be x(14). Let j = 47 - u. Differentiate 20*f - 12 + 11*f**j + 3*f**2 - 20*f wrt f.\nAnswer: 28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 198559.8 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112995 and 372?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6107, 357 in descending order.\nAnswer: 6107, 357, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*g + 58 + 171 + 214 - 953 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 1. Let y = 4 - -1. Let i be z(y). Let q = 202 + -198. Solve -12 = i*t - q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 6*g**2 + 3*g - 10. Calculate p(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmfp when four letters picked without replacement from {p: 2, f: 5, m: 8, t: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 p when three letters picked without replacement from hhpuphpfvhuaavuhuuvp.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -a12 (base 16) in base 14?\nAnswer: -d22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -814*q - 16302. Calculate n(-20).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {q: 15, e: 3}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2091 and 357.\nAnswer: 14637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a - 78. What is r(-3)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1131 = -16*u + 117. Calculate the remainder when 146 is divided by u.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 1:05 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(11) + sqrt(11)*1 - sqrt(11)) - sqrt(121)\/(sqrt(11)*-2 + sqrt(11)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-1*5\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0386*-0.666133\nAnswer: 0.0257127338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 34 = -t + 2*t, -3*z + 4*t = 34. Let y be 960\/4*(-12250)\/z. Round y to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3483 = -146*k - 15601 for k.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14675180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 - 1003*l**2 - 975 + 975.\nAnswer: -1011*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*i + 542*b**2 - 1509*b*i**4 + 4*b + 5 wrt i?\nAnswer: b**2 - 6036*b*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -5*k**8\/28 - 853*k**4\/12 + 319*k**2 - 3. What is the second derivative of q(h) wrt h?\nAnswer: -1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 10) + 4 + 4 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**0*z)**(-1\/9))**44*(z**(-1))**(-3\/7)*(z*((z*z**1)\/z)\/z)**(-23) assuming z is positive.\nAnswer: z**(-2038\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 777450531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 14 = 2*v, -2*l - 14 - 11 = v. Let s be 7 - (-3)\/(-6)*6. Let j be l\/s*12\/(-2). Calculate the greatest common divisor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43.14914 and -737032?\nAnswer: 737075.14914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = 0. Suppose -3*g - 6 = -i*g. Let z(j) = -j**3 + j. Let u be z(g). What is the highest common divisor of 66 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155121453 (base 6) to base 3.\nAnswer: 20020211202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 2)*(0 + 4 - 2) + 11 - 4 + 14)*((2*s**3 - 3*s**3 + 0*s**3)*(-2 + 4 - 1) + s**3 + 3*s**3 + 2*s**3).\nAnswer: 95*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -183\/8, -0.5, -0.3, 0.2, -167?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -344 - -858. Let o = 519 - n. Which is the closest to -7? (a) -1\/3 (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-84)\/6 - -14) + 1\/3. Let u(k) be the second derivative of -13*k + j*k**2 + 0 + 1\/4*k**3 + 1\/120*k**5 + 1\/12*k**4. Solve u(d) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 h, and 2 s when four letters picked without replacement from llhhhhhlhllhlshhhs?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 432\/119423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**6\/720 - s**5\/24 - s**4\/8 + 8*s**2. Let d(r) be the second derivative of b(r). What is the derivative of d(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 9:25 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {k: 7, s: 1, f: 2, x: 7}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4591472?\nAnswer: 2, 31, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r. Suppose -s = 3*s. Let g = s - -1. Solve r*j = j + g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 117 - 26*m - 117 to the form j*m + p + l*m**2 and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, 57, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**4*p**2 + 103*d**3*p**3 - 113*p**3 - 1 with respect to d.\nAnswer: -12*d**3*p**2 + 309*d**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.45 + -2.55. What is the closest to 3 in -0.1, -2\/3, f, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20710.57 and -4.3?\nAnswer: -89055.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*g + 5*w + 43, -3*w = -2*g - 60. Let z be (15 - 9)\/(g\/(-4)). Let l = z - 49\/22. Which is the nearest to 0.2? (a) -0.3 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8447807 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*t - 46 - 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*14829501.\nAnswer: 148295010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1788\/7*q**2 + 4\/7*q**3 + 200700\/7*q - 198916\/7 = 0 for q.\nAnswer: 1, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 712 - 2845\/4. Let h(w) = -w + 9 + 0*w + 2*w. Let b be h(-7). Sort -5, 2\/9, r, b in decreasing order.\nAnswer: b, r, 2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -12. Is -3 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 21*o**2 + 21*o**2 - 87*o**2 + o**3 + 25*o**2 - 3*o**4 + 21*o**2 - 3 to j*o + x*o**3 + s + h*o**4 + f*o**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f + 97 = 164 + 277 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1))**21*(s\/(s**(-1)*s))**(6\/7)*s**7*s*s**(-1\/3)\/s*(s*s**(-2\/5))**(-23) assuming s is positive.\nAnswer: s**(-659\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.625 - 4.225. Put b, -31, 2, 4, -15 in ascending order.\nAnswer: -31, -15, b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14176 - -14120. Sort 5, -4, j, 3.\nAnswer: j, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*z + 241. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -567 + 808. Let o = v + 906. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - 21. Let k = -34 - v. Let t = 7 + -4. What is the second smallest value in -2\/5, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-25) - (-3157)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -86, -89, -92, -95?\n\"Answer: -3*x - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*u - 12 = 66, 20*g = -u - 75 - 548 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14260902553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + n - 27 + 1 - 21 in the form i + d*n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) + -5*(sqrt(88)*1 - sqrt(88)) + sqrt(88)))\/(sqrt(512)*2).\nAnswer: -sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t**3 + 0 + 0*t**2 + 1\/2*t**4 + 0*t - 1\/2*t**5.\nAnswer: -t**4*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) -0.5 (b) 0.2 (c) -5 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7*q\/q**(-5) assuming q is positive.\nAnswer: q**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {n: 9, b: 4, x: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - t - 8*t)*(-22 + 3 - 8 + 1).\nAnswer: 182*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 1:43 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -82 times -2.7\nAnswer: 221.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25848 by -718.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 + 6*h + 5. Let o be m(-1). Suppose o*c + 3*s = s + 860, 4*c + s = 1705. Suppose 171 = -q + c. Is q 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 1064, 1070, 1086, 1118, 1172, 1254, 1370, 1526?\n\"Answer: q**3 - q**2 + 2*q + 1062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**3 + 2*p**2 + 2*p + 2. Let m(a) = 3*a**3 + a**2 + a + 1. Let y(n) = 3*m(n) - 2*x(n). Let r be y(0). Is r at least as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*g + 33395, -3*a + 2718 = -4*g + 102914. What is a rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -929.6 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/1*(-12)\/(-108)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*v**2 + 6*v - 6*v - 1302*v**2 + 654*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((81\/(-216))\/((-15)\/(-10)))\/(3\/(-72))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9796 = 2008*j - 2324*j for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 3*d. Let c(b) = 9573*b. Calculate c(m(z)).\nAnswer: 28719*z**2 - 28719*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72799820737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 10*h**2 - 8*h - 8. Let c be l(9). Solve -17 = u - 4*k + c, 10 = 2*k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-12) + 1)\/(5\/(-20)). Sort 677, q, -1 in descending order.\nAnswer: 677, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*g - 97, 96 = -5*g + z - 2*z. Sort -3, 4, g, 3 in decreasing order.\nAnswer: 4, 3, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*x + 3*l, 3*x - 5*l - 1 = -6. Let w be (7 - x) + 4 + -8. Solve -2*f = 5*y + 23, -2*f + 0*y + 1 = -w*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78725\/18 - 4372. Calculate the common denominator of 11\/2 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9940942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -1. Let p = -1 - z. Suppose p = 4*y - 3. Calculate the lowest common multiple of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-551280)\/41346*3\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, z: 1, g: 3}. Give prob of sequence gcg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -375 or -6763\/18?\nAnswer: -6763\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -248491.393?\nAnswer: 24849.1393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-5) - (9 + 464\/(-40)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99995 = -857*v + 25436 for v.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**4 - 5458*u**3 - 98798*u**2 - 258158*u - 164820 = 0.\nAnswer: -15, -2, -1, 2747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*t = -222*t - 1 + 17, 0*t - 20 = 4*p + 2*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 562*j**2 + 4473*j - 305. Determine n(-8).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v**2 - v - 1. Let w(t) = 18*t**4 + 6*t**3 - 7*t**2 - 6*t - 6. Let d(a) = -6*p(a) + w(a). Find the third derivative of d(k) wrt k.\nAnswer: 432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y**3 - 18*y**2 - 17 + 8*y**2 + 5*y**2 + 46*y**4 - 16 + 9*y**2 wrt y.\nAnswer: 1104*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.1 + 1.1. Let p = x - -6.1. Which is the closest to p? (a) -0.3 (b) 3\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 51?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -342, -0.5, 243?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + r**2 + 4 - r**2)*(-23*r + 15*r**3 + 23*r).\nAnswer: -30*r**5 + 60*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 129306 to the power of 1\/2, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 46*t**3 + t**2 - t. Let c be g(1). Suppose b - c = -5*y, y - 86 = -3*b - y. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -15. Let s(r) be the first derivative of -55*r**2 - 3*r - 69. List the prime factors of s(n).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 722 and 169178.\nAnswer: 61073258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-892)\/148 + 6). Let r(g) = -g**2 - 37*g + 16. Let w be r(j). Solve 0 = -5*v + 9 + w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1324423262 + -4?\nAnswer: 1324423255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -37898333 > -37898370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 45. Suppose 12*r + 2 - 26 = i. Suppose -r*b + z + 61 = 0, 5*b - b - 127 = 3*z. Solve -b = -4*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 14*m**2 + m - 1. Let b(k) = 27*k**2 + 2*k - 2. Let v(l) = 4*b(l) - 7*q(l). Calculate the remainder when v(1) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -3423182?\nAnswer: -3423182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 132*i + 1528. Let l be s(13). Let u be (-24)\/(-14) + (-6 - -4). Sort u, l, 1 in ascending order.\nAnswer: l, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - a**2 - a - 1. Let q(o) = -166*o**3 - 3*o**2 + 142*o - 3. Let l(b) = q(b) - 3*t(b). Find the second derivative of l(n) wrt n.\nAnswer: -1032*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q = -150. Calculate the remainder when q is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 38. Let i be 2 - (2 + 1 + l + -1). Suppose -p = 3*z + i, -2*p = -4*z - 4 - 30. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.11 in 3, -5, 2\/43, -3?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q + 20. What is the remainder when 75 is divided by z(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 18)\/((-15)\/(-5) + 0). Solve -4*f + 3*i - 2*i = -l, 4*f - 11 = -i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -205*b**2 - 992*b**5 + 2425*b**2 - 74*b**2 + 236*b**2 + 61*b**5 wrt b?\nAnswer: -55860*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-352)\/(-12))\/((-120)\/(-90)). Suppose -2*p = -0*p - 132. Calculate the highest common divisor of p and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310182.\nAnswer: 2, 3, 17, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 13*o = 6*o - 90 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -0.1, -25, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((5\/(-953655))\/(11\/33)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 21*k**2 + 8. Let g be y(21). Suppose 6*m + 76 = g*m. What is the remainder when m is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 710 and 9365.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 2574?\nAnswer: 7722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or -2013\/85?\nAnswer: -2013\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 4. Let t be k(4). Let y(g) = g**2 + 5*g. Let v be y(t). Let j(c) = -c**3 - 3*c**2 + 4*c - 3. Let h be j(v). Are h and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 22*k**2 + 2*k + 13. Is l(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/5 + 19823152*c - 122799173504720.\nAnswer: -4*(c - 12389470)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 6:20 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 7*t**2 + 2*t - 4. Let w be k(7). Suppose -2*s = -w, -160 = 5*j - 0*s + 2*s. Let x = -19 - j. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -198*o**3 + 58608*o**2 + o - 300. Give b(296).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.2 (c) 93\/2 (d) 4 (e) -2\/19 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21512 + 21918. What is the greatest common divisor of 336 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5737*t**2 + t - 1. Is u(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 206 + -46. Let n = i + -637\/4. Which is the nearest to 2\/5? (a) -3\/7 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198084*l**2 + 396132*l**2 - 198040*l**2.\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 5\/7)*(2772\/27)\/22.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (3 + 1)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8350749 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuqu when four letters picked without replacement from {q: 2, u: 9}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 12 + 8. Suppose 2*p = 5*m + 650, -k*p - 4*m = -9*m - 1320. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b*b**(-2\/19)))*b*b*b**(14\/9) assuming b is positive.\nAnswer: b**(761\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 78516*o + 352. Let t be s(-22). What is t rounded to the nearest ten thousand?\nAnswer: -1730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, p: 9}. What is prob of picking 3 p?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-7))\/((-5)\/35). Let f(t) = 4*t**2 - 4*t**2 - 4*t**2 + i*t**2. Let a(j) = -4*j. Determine f(a(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/9)*z**(-3)*z)**(-28)*(((z\/(z*(z*z**2)\/z))\/z)\/z**(1\/5))\/(z\/(z**2*z)*z\/(z*z**(-2\/7)\/z)) assuming z is positive.\nAnswer: z**(17837\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.348361 micrograms in nanograms?\nAnswer: 1348.361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4465145 + 946145. Round r to the nearest 10000.\nAnswer: -3520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 482 + -479. Let y be ((-1)\/f)\/(88\/(-264)). Is -1\/82 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 6*n - 1. Let p be z(7). Let x(u) = -u**2 - 12*u - 12. Let c be x(p). Solve 0*t - 5*h = -5*t + 10, 3*h + c = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elx when three letters picked without replacement from lejljx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4 = 2*g, 0 = 4*g + 17*d - 15*d + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12169389 is divided by 403.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1 = 14. Let u = -3 - v. Suppose 3*s - 4*h - 18 = -u*h, -s - 2 = 2*h. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 195*d**2 - 3371*d - 1043. What is g(211)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1105 and 0.1.\nAnswer: -1104.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 6. Let z be 13 - (5 - (6 - 3)). Let w be k(z). Suppose 2 = w*a - 63. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -77.4.\nAnswer: 23.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(50)\/(sqrt(30)\/sqrt(3)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9506 (base 15) to base 4.\nAnswer: -13230102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91048 - -53948. Round f to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 195 = 205 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75233167.22 rounded to the nearest 1000000?\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, -501, 35, -2.\nAnswer: -501, -199, -2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) 0 (c) -2\/3 (d) 52 (e) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571277217.\nAnswer: 3, 7, 1093, 24889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*z = -5725 + 6516 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*r - 25 = 79*r. Let k(l) = -8 - 2*l - 7 + 19 + 19. What is the smallest common multiple of k(-13) and r?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*o + 5276394 - 5260532 = 0 for o.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 376\/72 + 2\/(-9). Let c(z) = -z**3 + 5*z**2 + z + 5. What is the units digit of c(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/4 - 41*g**3\/2 + 1593*g**2\/4 + 945*g - 1323.\nAnswer: (g - 42)**2*(g - 1)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 4*v + 0*v)*(475 - 475 - 13*v).\nAnswer: 39*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 3:32 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -22*b**2 - 2*b - 64. Let r(p) = -26*p**2 - p - 64. Let v(k) = 7*f(k) - 6*r(k). Factor v(x).\nAnswer: 2*(x - 8)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {b: 3, x: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 5*j + 10. Let f be h(3). Factor -1 + 76*u + 12*u**2 - 4 - 5 + 8*u**3 - 84*u - 2*u**f.\nAnswer: -2*(u - 5)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*q + 2*q + 21*q)*((14 - 5 + 2)*(3*q + 0 + 0) - q + 0*q - q) to the form o + p*q + k*q**2 and give k.\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3236 - 6485 + 3249 + 15*v**3 + 4*v**3.\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1236 + 1323. Do n and 353\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 35824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**5\/20 + o**4\/6 - o**2\/2 + 2*o. Let h be u(1). Find the second derivative of h*s - 2*s - 2*s + 2*s**3 wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 14*h**2 + 2*h - 25. Let k be s(14). Suppose 0 = -6*t - k*t + 108. Calculate the greatest common divisor of 15 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*a - 2*z, -2*z + z = -4*a + 11. Suppose 4*i + 5 = -3*y - i, -y - 9 = -a*i. Put -3, 4\/7, -2, y in ascending order.\nAnswer: y, -3, -2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 2*t + 2*t + (0 + 0 + t)*(-3 - 3 + 4) + (6 - 2*t - 6)*(-2 - 3 + 4) to b + i*t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1714845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**7\/4200 - y**6\/900 + y**5\/600 + y**4\/60 - 2*y**3\/3 - 3. Let o(k) be the third derivative of d(k). Factor o(c).\nAnswer: -(c - 1)*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*f - g, 3*g = 2*f - 4 + 1. Suppose 0*n - 12 = -f*n. Suppose 2*m = 3*w - 26, -n*m = m + 3. Calculate the least common multiple of 18 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4.518, 2\/89, -3\/10, -1?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 + 357 = -6*l. Solve -4*y + l = -3*o, -4*o - 22 = -0*y + 2*y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -119*(-6)\/(-14)*276\/(-828).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 - 145.8. Let o = d + 3.8. Let i = -21 - -20.5. Put o, i, -2\/5 in ascending order.\nAnswer: o, i, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 12*w - 9. Let i(k) = -2*k + 6. Let b be i(0). Let l be c(b). Suppose -3*g + 2*g = 3*a - l, 4 = 4*a. Round g to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -12. Solve 20 = -4*a - 5*u, 0 = -a - p*u + 4*u - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1836 or 5506\/3?\nAnswer: 1836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/180 and 163\/660.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.027 + 0.0551. What is n rounded to 3 dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2762297 to the nearest integer?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8\/(-7))\/((-1)\/2) and (-3)\/15*97*(-6)\/12.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 789d7 (base 15) to base 5.\nAnswer: 44233402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -42. Which is the nearest to x? (a) -0.2 (b) -5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776.1865mg to nanograms.\nAnswer: 776186500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 51*o - 72. Calculate the remainder when 476 is divided by s(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)\/((((o\/(o*o**(2\/23)*o))\/o*o)\/o)\/o))\/(o**(2\/5))**(-19) assuming o is positive.\nAnswer: o**(654\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, y: 6, g: 5, t: 1, k: 3}. What is prob of sequence ss?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011 - -101001?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2 - 53*m - 81. Let p be w(-16). Let y be ((-273)\/51 - -5)*p\/(-3). Which is the smallest value? (a) -5 (b) y (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/152216981 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-2\/5)\/x)*x**11*x**(-4\/7)*x**(-5) assuming x is positive.\nAnswer: x**(274\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qxxxxqxqqxxxxxxqxx.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 2, -1, 0 in decreasing order.\nAnswer: 8, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7372\/168)\/19 - 148\/1036?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-119) + 3011\/17. Suppose 0 = 9*s - 255 - i. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -64228*h. Let k(x) = -3*x**2 + 8. What is k(i(o))?\nAnswer: -12375707952*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 43 = 2*y, -97 = -3*w + 69*y - 67*y. Solve w*b + 18 = 21*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Suppose -h = t + 6. Let z = -7 - h. Calculate the highest common factor of z and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 652, 2625, 5910, 10507, 16416, 23637?\n\"Answer: 656*q**2 + 5*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1104 + -244?\nAnswer: -1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhbbdbhbbddhdbhb. Give prob of picking 4 h.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 + h**2 + h - 1. Suppose l + 2 = 3*l. Determine d(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9947629, 9947625, 9947619, 9947611, 9947601, 9947589?\n\"Answer: -g**2 - g + 9947631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 305 + -120. Let c = -108 + h. What is the greatest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 86 + 30 - 18.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 308 - 4444?\nAnswer: -413a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/7*1\/(2\/6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -232 by -4.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2906075 is divided by 2574.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 1:59 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/6)\/(13\/(-6097)*7). Put -1, c, -5 in decreasing order.\nAnswer: -1, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 5. Let d = 2 - i. Suppose 1 = 4*u - d. What is the greatest common factor of 8 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 385668.\nAnswer: 771336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = r, j + 53 = 4*r + 2*j. Suppose -a - 5*c = r, c - 15 = -2*a + 4*c. Suppose 102*n = 100*n + 10. Calculate the remainder when n is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223047823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.4 - -1.4. Let j = g + 9. Let y be 0 - (-1 - -1*2). Which is smaller: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - y**3 + 2*y**3 + (4 - 4 - 3*y**2)*(-2*y + 0*y + y) + (0*y + 0*y - 2*y**2)*(4*y + y - 3*y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04155um in centimeters?\nAnswer: 0.000004155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19405.0700035 - 19405. Let d = o + -0.07. Round d to 7 dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 1. Let q be x(6). Let w(g) = 3*g**2 - 5*g + 13. Let z(n) = 5 - 1 - 16 - 4*n**2 + 8*n - 7. Let l(o) = q*w(o) - 5*z(o). Calculate l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 46, -1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Solve 5*r = -2*m - 11 + u, 3*m = -3*r - 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30377035?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/6)\/((-4)\/(-12)). Suppose -m*t - 15 = 3*y, -5*t = 5*y - 6*t - 3. Round y to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -7999.\nAnswer: 7999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 5 = 4*l, 0 = 2*f - 5*l + 1358 - 1361 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9599 + -0.0401. Sort 3\/8, 4, 1, o in ascending order.\nAnswer: o, 3\/8, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7134552, -14268975, -21403398?\nAnswer: -28537821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 222578278 and 222578279 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5560 = 5*v, 0 = -16*v + 13*v - 4*d + 3315. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 h when three letters picked without replacement from {i: 6, q: 4, l: 3, e: 1, h: 2, a: 3}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 2. Let i(g) = -4*g**2 - 6. Let j(p) = 2*p - 2. Let f be j(4). Let u(r) = f*n(r) - 2*i(r). Let z(a) = 3*a**2. What is u(z(c))?\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, -5\/87, 19 in decreasing order.\nAnswer: 19, 11, 0, -5\/87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197867 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058715 is divided by 88223?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 11473*v - 11474*v - 4, 2*v + 8 = c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 136?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by -403?\nAnswer: -99\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 4964352?\nAnswer: -4964359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*u + 6*u**2 - 8681 - 39*u + 8683 to v + i*u + h*u**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4 + 228*z**3 + 2643*z**2 + 2418*z = 0 for z.\nAnswer: -62, -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*l + 33. Calculate the greatest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125957 a multiple of 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827628831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40, 90, 168, 280, 432?\n\"Answer: q**3 + 8*q**2 + 19*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/45? (a) 5 (b) 1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 840223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**4 - 14*k**3 - 2*k**2 + 62*k - 28. Let b(t) = -t**4 - 15*t**3 - 3*t**2 + 61*t - 30. Let z(s) = -4*b(s) + 3*c(s). Factor z(y).\nAnswer: -2*(y - 9)*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488511701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122018 is divided by 322?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1035*q + 32 - 2389*q - 61 + 29.\nAnswer: -3424*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + (13 - 6) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3710\/896*-16)\/(5\/4).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*l + 2*n - 32, -2*l + 3*n + 34 = 0. List the prime factors of (1*4 - -2)\/(l\/250).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**3 + 114*v**2 - 1615*v + 264. Determine u(-49).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(76) + sqrt(76) + sqrt(76)))\/(sqrt(20)\/(sqrt(5)*-3)).\nAnswer: 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*r - 14*r. Let u(k) be the third derivative of -1\/120*k**6 + r - 1\/15*k**5 + 1\/3*k**3 + 0*k - 3*k**2 + 7\/24*k**4. Give u(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2729\/12 + -231. What is the common denominator of d and (-62)\/(-56) + (-6)\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96817, 96795, 96775, 96757, 96741?\nAnswer: 96727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bbbbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.31694764 to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, -514, -731, -1026, -1399?\nAnswer: -1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 89736*w + 807948.\nAnswer: -4*(w - 22443)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + 7 + -1 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 490618.62ms in hours?\nAnswer: 0.13628295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74189 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 305 and 20.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 3*c**2 - c + 2. Let v = 0 - -8. Let f be 5\/2*v\/(-10). Let u be i(f). Is u < 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = -4*q, -2*y - 2*q + 16 = 2*y. Let j be ((4 - 5) + 1)\/(3\/y). List the prime factors of -30*(-3 + j)\/6.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) -1.95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-2\/5))**(-38))**(-12))**(-2))**(10\/7) assuming v is positive.\nAnswer: v**(-5472\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36104*q**3 + 41761*q**3 - 14294*q**3)*(-1 + 1 - 1) to f*q**2 + o + g*q + z*q**3 and give z.\nAnswer: -63571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -34*d + 0 - 4*d**3 + 22 - 26*d**2 + 3*d**3. What is the units digit of t(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34800112 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: Collect the terms in 4*r**2 + 11*r**3 - 4*r**2.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/9)*g)**(-45)*g**(-22)*g**28 assuming g is positive.\nAnswer: g**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1413404411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1990 and 11.\nAnswer: 21890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3973656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*c - 60*c + 1024 - 1024 + 21*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3 (c) -0.244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -72*y + 315. Let x(k) = k**3 + 5*k**2 + 12. Let r(g) = -g**3 - 4*g**2 - 12. Determine y*r(j) + 4*x(j).\nAnswer: -j**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1294214?\nAnswer: 2, 43, 101, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16187 - -22936. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/3*35949\/(-4168).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40918 is divided by 6786.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -821 (base 11) to base 7\nAnswer: -2614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4369230 divided by -10161?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7114*23.\nAnswer: -85.3622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 + 5. Let u(b) = -18*b**2 - 12*b + 8. Let q(j) = 7*j**2 + 5*j - 3. Let n(v) = -12*q(v) - 5*u(v). Give 4*a(x) + 5*n(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -64*z**5 - 352*z**4 - 580*z**3 - 152*z**2 + 208*z - 32 = 0. Calculate z.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(4 - 0))\/(-10 - -9). Calculate the greatest common divisor of 1470 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -5*k**3\/3 + k**2\/2 - 299. Let l = 3 + -2. Let i be t(l). Sort 0, -3, i.\nAnswer: i, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (0 - (-19 + 13))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -17, -11, -5, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000064526 rounded to 7 decimal places?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -60681580 divided by 5?\nAnswer: -12136316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -7) + (1 - -8) - -13 - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17794316?\nAnswer: 2, 4448579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (sqrt(539) + 3 - sqrt(539)))*-2*5)**2 + 3.\nAnswer: -4200*sqrt(11) + 54803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1384833*c**3 - 3212*c**2 + 24 wrt c.\nAnswer: 8308998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -225*k - 124*k + 2443 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (sqrt(119) + sqrt(119) + sqrt(119) + -4*sqrt(119) + sqrt(119) - sqrt(119))*-1 + sqrt(119))*-2)\/(6*sqrt(35)\/(5*sqrt(5) + sqrt(5))).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 4*w = -50, -16 = y - w + 3*w for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12904 divided by -4?\nAnswer: -3226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in -20, 5, -0.3, 1.6, 3?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -22*h + 38 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4104111?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -30.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3776 divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 - 7*r - 3 + 2 + 8. Let m(l) = -l**2 + 5*l - 3 + 2*l**2 - 2*l. Suppose 91*o = 502 + 772. Calculate o*m(h) + 6*b(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 1142255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 at most 0.234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oggo when four letters picked without replacement from {o: 5, s: 1, g: 8, l: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 1651.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-2)*(6 + -3). Let i be (-16)\/(-560)*7*-5. Let t(a) = -a**3 + 4*a**2 - 4*a + 1. Let c be t(4). Sort i, 0, c, g in increasing order.\nAnswer: c, g, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Let v be n - (-2 - -1)*-9. Let k(j) = -j**3 - 10*j**2 - 8*j + 11. Let i be k(v). Solve 0 = i*u - 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 216 - -4366?\nAnswer: 4615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*j**2 + 98*j**2 + 8*j**2 in the form l + p*j**2 + n*j and give p.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 250.8 + -251. Let b = -0.07 - 0.03. What is the biggest value in u, -1\/3, -42, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-584*c + 3*c**4 + 2797 + 5622*c - 2*c**4 - 2797).\nAnswer: 2*c**4 + 10076*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from tttttttappapap.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-330)\/(-220)*44\/(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = 0, -g + 38 = 4*n + 50. Which is the biggest value? (a) -0.22 (b) 0 (c) g (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*g**4 + 11*g**3 + 265*g**2 + 7*g + 121664731 wrt g?\nAnswer: 44*g**3 + 33*g**2 + 530*g + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -829632, -829560, -829366, -828990, -828372, -827452?\nAnswer: -826170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47.1 + -65.1. Which is the biggest value? (a) -0.1 (b) -2 (c) k (d) -0.3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 3*n**2 + 7*n + 1. Let p be i(-5). Let a be 38968\/p + 3\/6. Suppose 5*q = 3*g - a, -3*g + 4047 = 2*g - 4*q. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + 101010010000?\nAnswer: 101010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8) - ((-9)\/2 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150826912 and 928.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 5*c**2 - c - 4. Let n be b(-5). Let r be ((-12)\/9 + 0)*n. Sort 2\/17, r, 3 in decreasing order.\nAnswer: 3, 2\/17, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 165.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*m**2*u*w + 163880*m**2*u - 171*m*u*w wrt w.\nAnswer: 48*m**2*u - 171*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 73 (b) -0.3 (c) -0.4 (d) 2\/11 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 9. Let l be q(-8). Let p = 4 - l. Suppose 3*s - 89 = -4*d, -9*s + 7*s = -d - 74. Calculate the greatest common divisor of p and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8202791 and 0.1.\nAnswer: -0.08202791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -934770 - 2*m + 934770 + 51*m**2 + (0*m + m + 2*m)*(-2*m + 5*m + 0*m).\nAnswer: 60*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*p + 42*p - 11*p as l*p + f and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 300 = 6. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3413288437 to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -339 + 70. Let k = 268.999997408 + o. Round k to 7 decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 + 5 - (-22 + (-670)\/(-25)). Let l be ((-6)\/98)\/((-9)\/6). What is the second smallest value in l, 0.4, -4, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18477, -32613, -46749, -60885, -75021, -89157?\nAnswer: -103293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - c)*((-16 - 7 - 2)*((-6*c + 3*c + 2*c)*(-3*c - c + 5*c) + 0*c**2 - 2*c**2 + c**2) + (-c**2 + 0*c + 0*c)*(-1 + 2 + 1)).\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15709 - -172803\/11. Factor -2\/11*z**5 - 2\/11*z + 0*z**2 + i*z**3 + 0 + 0*z**4.\nAnswer: -2*z*(z - 1)**2*(z + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 787*v**3 + 797*v**3 - 1564*v**3.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + (-10 - 7) + 18 + -4 + 0?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25636787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 9*s. Let u(t) = 6*t**2 - 3*t + 2. Let a be u(2). Suppose s*j = -4*j + a. Calculate the remainder when 14 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = -14 + 224. Let i(m) = -m**3 + 22*m**2 - 21*m + 2. Let f be i(z). Suppose 4*c = -2 + f. Solve c = -l - 3 + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11691, 46829, 105419, 187461, 292955?\n\"Answer: 11726*b**2 - 40*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13805.45629 rounded to the nearest 100?\nAnswer: -13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 162 + -2a?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 46. Let s be r*15\/(-25) + 4\/10. Find the third derivative of 4 - j**s - 18*j**4 - 16*j**2 - 4 wrt j.\nAnswer: -456*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1615 and 595?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.05 (c) -2\/7 (d) -8 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 22*t - 45. Let v be s(-24). Solve 2*k + v*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.122243 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11908.4760134 - -11911.476. Let d = 3 - a. Round d to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94186693 - 4*u - 94186693.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 149956.9 centuries in millennia?\nAnswer: 14995.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*y + 3*y, -2*v + 6 = -y. Suppose -3*f + v*f - 87 = g, 4*g = -5*f - 344. Let d = -30 - g. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1235480 and 300160?\nAnswer: 138373760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1038536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11*f + 111. Calculate w(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -c - 4*y, 5*c + 35 = 6*y - y. What is the units digit of c\/(((-63)\/(-12))\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1259216 or 2\/525?\nAnswer: 2\/525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 6*f**2 + f + 2. Let d be l(-6). Let m(z) = -2*z - 3. Is m(d) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.11?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 248.4706 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 7) to base 2\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.37 + 0.63. What is the closest to -1 in u, 0.3, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4063\/38064 - 5\/624. Let p = -391573\/20 - -71569219\/3660. Let r = p + h. What is the common denominator of 41\/9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*m**3 + 73*m**3 - 60*m**3 + (2*m**2 - m + m)*(-1 + 1 + m) - 1 + m**3 + 1 to the form x + w*m**3 + y*m**2 + u*m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/3 and 104956\/275 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) -1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179\/5 - -36. Is -1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1023 and 21227529?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -16*x**3 - 962*x**2 - 121*x - 58. What is q(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 11. Put 0.5, 2, a in descending order.\nAnswer: 2, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7654 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 69.\nAnswer: -11\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)*n)**(-38)*n**(3\/4)\/n**(-1\/2) assuming n is positive.\nAnswer: n**(-223\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3793958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24202059 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4495\/8 + -563. Let a(h) = -3*h**3 + 11*h**2 + 8*h + 8. Let x be a(8). Let f = x - -6059\/8. Find the common denominator of f and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*a - 9*a. Suppose -x + 0 = a. What are the prime factors of (5 - -2)*(0 - x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 + (17 - 13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 12 - 3. Let l be 1*(2 + -3) + 5. Suppose -5 + 149 = l*m. Calculate the highest common divisor of o and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**4\/6 - w**3\/3 + 5*w**2. Let z be t(2). Suppose 0 = 3*p + 18 - z. Sort 1, -2, p in increasing order.\nAnswer: p, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 0, 64 in increasing order.\nAnswer: 0, 51, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 - -107 - (-1 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417 - 401 = -16*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - f**2 - 2*f + 3. Let t be o(0). Suppose 7*k + 17 = t. Let y = -3 - -3.1. Which is the nearest to y? (a) k (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - d**2 + 2. Let h be l(0). Let b(o) = 2*o - 2. Let t be b(h). Let k be (36\/(-24))\/(2\/(-4)). Solve k*m + 4*s = -17, -2*s + 6 - 14 = t*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 6, -i - 65289 = -3*m - 4*i. List the prime factors of m.\nAnswer: 3, 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 8. Let c be o(6). Let k(h) = -5*h**2 + 3*h**2 - c*h**2. Let w(a) = a**2. Determine w(k(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + 7. Let x = 18 - 15. What is the tens digit of b(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 6*n**2 + n**2)*(0*n**2 - n**3 + 0*n**2) - 4*n**5 + 0*n**5 + n**5.\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m + 34. Let l be s(3). What is the second derivative of 89*x**l - 217*x - 5*x**4 + 144*x wrt x?\nAnswer: 1008*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.124 + 1.776. What is the closest to -2\/5 in k, -1\/8, 0?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*a - 23 = -0*y, 4*y - 3*a - 32 = 0. Suppose -2*g = b + b - 8, 0 = -4*g. Is y > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 1483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 36*o + 48. Let v(n) = -25*n - 33. Let x(q) = 5*c(q) + 7*v(q). Let j(u) = u**2 - 6*u - 10. Calculate 5*j(h) + 6*x(h).\nAnswer: 5*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*s**4\/3 - 4405*s**3\/3 - 8865*s**2 + 37345*s\/3 - 6370\/3 = 0. What is s?\nAnswer: -7, 1\/5, 1, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -23*s + 25*s + 30, 5*h = -5*s - 15 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506144, 1014596, 1523048, 2031500, 2539952?\nAnswer: 3048404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**3\/3 + 10*m**2 - 36*m - 1357. Factor p(u).\nAnswer: -(u - 18)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41\/(-205))\/(506\/(-230))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58.000166 + -58. Round n to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 + 94. Suppose -2*n - 5*k + 99 = -0*k, -4*n = 2*k - 174. Calculate the highest common factor of w and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/(((-3)\/(-12))\/(((-606)\/24)\/101))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3197112545?\nAnswer: 5, 11, 58129319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a - -1409?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*(s\/(((s*s**(-1\/5))\/s)\/s))\/s)*s*s**(-2\/13)*s**33*s*s**38 assuming s is positive.\nAnswer: s**(4657\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1, -14.\nAnswer: -14, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z - 32 + 64 - 34 + 5*z. Determine x(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250 - 22 - -2*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137 (base 12) to base 9\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 5*c + 21, c - 2*c - 5 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 6:16 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2692 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/43 and 0.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -152, -348, -676, -1136, -1728, -2452?\n\"Answer: -66*g**2 + 2*g - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -1, -473\/2, -0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 2*l**2 - 3*l**2 + (0*l + 4*l - 6*l + (-2 + 0 + 4)*(5*l - 4*l - 2*l))*(26*l + 13*l - 59*l).\nAnswer: 78*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 3)\/(-4)*4. Suppose y + b - 4 = -0, -b = -l. Suppose 3*i - 23 + 8 = y. Solve -i = 4*k + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 866 and -0.04?\nAnswer: -34.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2386535 * -3.\nAnswer: 7159605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/(-18)*(-867)\/34 and -4 + -1 + 69\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, t: 2, l: 2, g: 4, c: 2}. What is prob of picking 2 t?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 83.43769g?\nAnswer: 0.00008343769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*sqrt(130)*-2*-1)\/(sqrt(640) - (sqrt(640) - ((sqrt(640)*-2 + sqrt(640))*5 - sqrt(640)))).\nAnswer: 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.467932 - 14.378. Let g = -3.39 + 3.3. Let y = g + a. What is y rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*o**4 + 4*o**4 + o**4 - o - 1 + 4*o**4 - 2*o**2 + 5*o**3 as z*o**4 + q*o**3 + f*o**2 + g + n*o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyejd. Give prob of sequence yd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**4\/8 + u**3\/2 - u**2\/2 - 41. Determine o, given that v(o) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:27 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 14 - 4*t + 18 + 11 - 27. Let x(v) = -v + 3. Calculate 3*m(q) - 16*x(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 3:45 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 230 = 35*w - 479 - 108, -4*w - 64*q = -61*q - 104 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 3*x**2 - 3*x. Let h(z) be the first derivative of 7*z**2\/2 + 6*z - 5. Calculate the remainder when h(5) is divided by n(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54 + 54 - (7 + 1)) + 31\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2)*(1 - -1). Let p be l\/(7\/(-10) - -1). Suppose -g + 3*j = -71, -4*g + 62 + 255 = -j. What is the highest common factor of g and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*f - 101*f - 7*q - 17, -5*q - 19 = -f - 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1088a15 (base 13) to base 12.\nAnswer: -1848819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0. Let r be 1525\/(-50) - 360\/(-12). What is the third smallest value in t, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (33\/44)\/(1\/4). Let q(h) = -77*h**2 + 2*h - 4. Let f be q(u). Let l = f + 1554. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/2)\/(-5) - (-321)\/318. Let v = z - 2347\/1590. Let q = 103\/60 + v. Which is the second smallest value? (a) -3 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3 (c) 25 (d) 2\/13 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 43*f + 3 + 4.\nAnswer: -43*f + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*f + 254*f + 897 + 890 - 1787.\nAnswer: 769*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8232 + -48?\nAnswer: 8195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1835 (b) 689\/6 (c) 3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Is 1 equal to 135\/194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 275528*j\/3 - 6062584\/3.\nAnswer: 2*(j - 137786)*(j + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 1. Let u(c) = -c**2 - 6*c + 5. Let a(n) = -2*f(n) - u(n). What is a(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*i + 19*i = 24*i - n - 297, -5*n = -3*i + 7 - 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134635 is divided by 2207.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -38) + 70 + -26\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184192926487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, w: 4}. Give prob of picking 1 o and 2 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**3 - 3*m**2 + 3*m. Is q(2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/22? (a) -2 (b) -1 (c) 0.3 (d) 3\/7 (e) -6.281\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -9*h + 13*h - 3*y, h + 4*y + 19 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 8:23 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 24*p**3 - 6*p**2 - 64*p - 137. Is c(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0.9. Let k = 0.1 - u. Let l = 0.0106 - 3.0106. What is the biggest value in k, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16092 divided by -894?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*n - 4*n - 102 + 58 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) 28 (c) -7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21638*t = -2*r + 21639*t - 5, -8 = -r + 4*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10467271 minus 254640?\nAnswer: -10721911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 16, -46 in decreasing order.\nAnswer: 16, 3, 1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 13443 + 3*y**2 + 41*y**3 + 18*y**3 + 13443.\nAnswer: 59*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/1140 and ((-3402)\/11172)\/(1 - 3 - 4).\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 1:55 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)*d**(-1) assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56193132 rounded to 3 decimal places?\nAnswer: 0.562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/(z*z**2))**(3\/5) assuming z is positive.\nAnswer: z**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -34\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2346\/(-2737)*(-28)\/(-18).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -0*a. Let z = 14 - a. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o - 47. What are the prime factors of d(-14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 38*s - 6. Let q be y(-19). Let f be 0\/(2\/(-4)*q). Put f, 2, -3 in decreasing order.\nAnswer: 2, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r**2 + 18*r**2 + 5*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 > 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5003461.8 and -29?\nAnswer: 145100392.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -29*c - 29. Let n be k(14). Let x = n + 622. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22241 is divided by 5534.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - y + 420. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 2*x**2 - 3*x - 1. Let z be t(-1). Let q be 168\/32 - z*(-9)\/(-12). Let c be (-69)\/(-46) + q\/4. Solve 0 = 5*d + 25, -u + 8 + 11 = -c*d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 14*s = 100. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(55)\/sqrt(5) - sqrt(11)))*-6*4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 25*g - 18. Let f be n(9). Let d be (-5 - f) + -2 - -10. Factor 8\/7*y + 16\/21 + 4\/7*y**2 + 2\/21*y**d.\nAnswer: 2*(y + 2)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s - 8. Suppose 3*k - 2*y = -33, -2*k + 5*y - 20 = 13. Let g = s - k. What is the highest common divisor of g and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/240 and -7\/180?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 7*h = 2*t, -3*h = t. Suppose i + 6*i = h. Put -13, 1, i in descending order.\nAnswer: 1, i, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q - 3 = -20*q. Let d(i) = 4 - 1 + i**2 - 2 + 0. Let a(h) = -3*h + 2*h + 2*h. Give q*d(v) + 2*a(v).\nAnswer: v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**5\/20 + b**4\/3 + b**3\/2 + b**2 + 30*b + 38. Let c(z) be the first derivative of k(z). Determine c(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/1063 + 1055\/4252. Which is the biggest value? (a) r (b) 3 (c) 69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2370588, -9482361, -21335316, -37929453, -59264772, -85341273, -116158956?\nAnswer: -151717821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 32*t + 32*t. Let w(d) = -d - 5. Let g(c) = 1. Let b(z) = 5*g(z) + w(z). Let s(x) = -6*x. Let k(h) = -b(h) + s(h). What is k(n(f))?\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a decade in months?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c**3 - 18*c**2 + 6*c**2 + 10*c**2.\nAnswer: 28*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-65)\/(-3) - -7) + 2\/(-3) is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 108*r + 8342.\nAnswer: -2*(r - 43)*(r + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y = -x + 13, 3*x = 2*y - 3. What is the first derivative of 5*d**y + 5*d - 18 + 19 - 5*d wrt d?\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.0299 to two decimal places.\nAnswer: 34.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 50*n + 22*n**2 + 6*n**2 - 72*n + n**2 + 11*n.\nAnswer: 29*n**2 - 111*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -367, -467, -633, -865, -1163?\n\"Answer: -33*c**2 - c - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -71*c*o**2 + c*o - 256*c - 5371*o**2 + 1135 wrt o.\nAnswer: -142*c*o + c - 10742*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019520379 to five dps.\nAnswer: 0.01952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + (sqrt(204) - (sqrt(204) + 1*sqrt(204))) + sqrt(204))*6)\/sqrt(12)*6.\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 284.94 - 515.85. Let x = 218.903 + b. Let j = 12 + x. Round j to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16 + (-36)\/(-6 - -12). Let l(b) = 301*b**3 - 3*b**2 + 30*b. Let q be l(k). What is q rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j*u**4 + 2*j*u**2 + 320*j*u - 87*j - 12*u**4 - 2*u**2 - 1 wrt u.\nAnswer: 60*j*u**2 + 4*j - 144*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 - 34?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-4\/3)*a)\/a)\/a**(-4\/7))**6\/((a**(-2))**(2\/31)\/((a**(-9)\/a*a)\/a**(1\/6))) assuming a is positive.\nAnswer: a**(-17719\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/3770*29*3\/(-162)*-3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-2)\/((-4)\/19). Let u be (2 - c)\/((-3)\/(-3)). Suppose -5*p = -2*p - u. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 161220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2\/19, -8\/5, -0.3 in increasing order.\nAnswer: -20, -8\/5, -0.3, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*sqrt(192)*-2*-4.\nAnswer: -1280*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 92\/(-16) + 3\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-1)\/1)*2. Is (j\/(-2))\/(2\/(-30)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -55013?\nAnswer: 55016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -404*80759.\nAnswer: -32626636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 10 + (-3 - 2) - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44297*f*g**2 + 1457*f*g + 63125*f + 793 wrt g.\nAnswer: -88594*f*g + 1457*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 5?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (sqrt(190)*-1*6 + sqrt(190))) + sqrt(190))\/(-5*sqrt(40)) + -2*sqrt(19)*-6 + sqrt(19) + (sqrt(19) + 0)*6 + 3.\nAnswer: 3 + 183*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1 - 5 + 2*n**2 + 3 + 2*n. Calculate the remainder when 31 is divided by h(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2611*v + 2601. Determine m(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.024, -1, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*l**3 + 46*l**3 + 33*l**3 - 50*l**3 + 63*l**3.\nAnswer: 154*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - p**3 - 6*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 - -76.43. Let q = s + -0.4255. Round q to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -700*d - 29 - 144*d**2 - 13 + 497*d**2 + 42 wrt d?\nAnswer: 706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -55.\nAnswer: 39\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4032 and 8757?\nAnswer: 560448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 2. Let i be x(-6). Let q be -1*3\/1 - -1. What is the third biggest value in q, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-20) + (-190)\/(-90) + -2)*-4.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eejj when four letters picked without replacement from {e: 15, j: 4}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + 58. Differentiate 164*i**4 - 92*i**4 + 2 - d*i**4 wrt i.\nAnswer: -64*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*o - 9*o - 32*o**2 + 0*o - 9*o - 76 - 21 with respect to o.\nAnswer: -64*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.5 (b) 6\/71 (c) 1836\/11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 4*n - 10. Let g(r) = -3*r**2 - 13*r - 29. Let c(m) = 11*d(m) - 4*g(m). List the prime factors of c(-9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 0*x - x**3 + 1 + 3 - 6 - 2*x**2 - 2*x. Let f(k) = -5*k**3 - 11*k**2 - 11*k - 11. Determine -2*f(v) + 11*l(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*z - 0*z, -3*d = -z. Suppose g = 3*l - d*g - 74, 0 = l - 2*g - 23. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (10 + (-13 - 5) - -1)) + 9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8591*c**2 + 3 - 29*c - 94*c + 8590*c**2)*(0 - 2*c + 0) to the form y*c**3 + t*c**2 + p*c + r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 172870129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {s: 2, b: 7, j: 1, q: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1614371 rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 601\/6 + 41\/(-246) and 1220.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210012112 + 11?\nAnswer: 210012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*l + 55. Let r(f) = f**2 - 14*f + 15. Let v be r(12). Let s(q) = -q**3 - 9*q**2 - 3*q - 13. What is the lowest common multiple of l and s(v)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 90\/(-70) - (-2)\/7. What is the nearest to 0 in t, 0.2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 26 + 25. Let p = 19 + f. Suppose -4*o - 5*w = -p - 0, 5*o - 11 = -2*w. Solve 2*k = -4, -d - 2*k = o*d + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 2*w = 10388. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22803657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**5\/60 - 11*r**4\/24 + 5*r**3\/6 - 4*r. Let u(w) be the second derivative of i(w). Calculate u(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (6 + -10)) + 2 + -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v**3 + 1357*v**2 + 116953*v + 115579. Let a(g) = -10*g**3 - 1358*g**2 - 116954*g - 115582. Let k(p) = -7*a(p) - 6*o(p). Factor k(r).\nAnswer: 4*(r + 1)*(r + 170)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 4:26 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*x + 13126, 41*s - 36*s - 32864 = -3*x. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*c + 23*c + 48. Suppose 0 = -4*v + c + 12. Suppose 2*q - 2*b = v, -3*b - 9 = -q - 6. What is the least common multiple of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j - 28. Let n be y(-3). Determine w, given that -n + 2*w**2 + 14297*w - 3 - 14291*w = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 - 60?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 - -142. Let i = 50 - t. Which is greater: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*t - 0*k + 119, 0 = 3*t + 3*k + 75. Let c be (t\/(-15))\/((-4)\/(-50)). Let q = c - 14. Calculate the remainder when 16 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1784 + -1783.8. What is the fourth smallest value in -3\/2, -4, 0.1, y, -2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f1d3 + 195?\nAnswer: -f03e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 545 + -541. Let k = -7 - -7.3. What is the nearest to -2 in 2\/15, h, k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - (-1 - -433))*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*v + 54034, -2*v + 27026 = -c + 5*c. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 5*n**3\/3 - n**2\/2 - 7001. Let d(i) = 4*i**2 - 2*i + 1. What is -3*a(l) + 2*d(l)?\nAnswer: -7*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -55*l - 9. What is the tens digit of o(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -115, -344, -687, -1144, -1715?\n\"Answer: -57*h**2 - 58*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12))\/((-144)\/324).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -0.1 (c) 2\/13 (d) -1.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/9357 and 77\/11134.\nAnswer: 104180838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -2) + -22 + 19 + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 7*f + 4*f. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hshnnnhyhh. What is prob of sequence nnhh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -17*d**3 - 3*d**2 - 3*d + 4. Is p(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w - 0. Suppose -65 - 15 = -4*h. Suppose 34 = z + w*f, -z + h = 3*f - 5*f. Calculate the highest common divisor of z and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -285 - -284.414. Let x = l - -2.956. Round x to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8224 divided by -4?\nAnswer: -2056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 + 298*b + 4804. Let l be k(-51). Let q = -1 + 6. Solve 9*z = l*z - q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -270 (base 9) to base 6\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6105400 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10874 is divided by 236?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 20200300000 (base 4) to base 14\nAnswer: 421224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 33, 52, 71, 90?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 900093789?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -5*r. Let g = r + 2. Suppose -d + 10 = o + g, -d + o - 2 = 0. Which is the third smallest value? (a) 0.1 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 28, -83390 in ascending order.\nAnswer: -83390, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4791648 and 592.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.7 - -6.6. What is the third smallest value in -1, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 245 + 185 = 0. Let z(q) = -3 + 3*q - 6 - 2*q + 0*q. What is z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 20*m - 32. Let k = 69 + -56. Calculate the least common multiple of 8 and w(k).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + -11?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*x + 40*x + 325 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 168*r - 1634. Calculate t(5).\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 282 = 3*m - 23*r, 4*m - 3*r = 401. Let g = m + -98. Solve -3*s - 8 = t - s, g = t - 2*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315938 (base 11) in base 12?\nAnswer: 1432bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048802485 rounded to four decimal places?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1239196, -2478390, -3717584, -4956778?\n\"Answer: -1239194*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**3\/5 - 3306*v**2 - 362271*v\/5 - 345744\/5 = 0.\nAnswer: -5488, -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -194 and 39872?\nAnswer: 40066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/4355480 and -109\/1088870.\nAnswer: 4355480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-9) - 5880\/(-27). Let z = x + -136. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 3*n - n)*(3*n**2 + 6*n**2 + 4*n**2) + n**3 + n**3 - 3*n**3 - 2*n**3 - 1 + 1 in the form c*n + y*n**3 + h + k*n**2 and give y.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 1.2. Sort -2\/3, p, -2.\nAnswer: -2, p, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -238 + 1184\/5. Let n = 3701 + -3699. What is the closest to n in k, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-14))\/(((-1053)\/252)\/(-39)). Solve x*c + 23*c - 155 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(-w**2 - 2*w**2 + 8*w**2) + (-5*w - 11*w - 9*w)*(10*w + 5*w + 3*w) as q*w + j + d*w**2 and give d.\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 2*b**2 + 6*b**2 + (-6*b - b + b)*(-2*b + 2*b + 2*b) + 46 + 15*b**2 - 46 + (-3 + 3 + 3*b)*(4*b + 0*b - 3*b) + (1 - 1 + 2*b)*(-b + b + b).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1215 - 1218. Which is the second biggest value? (a) 2\/5 (b) -0.5 (c) l (d) -336\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2362842 + -4?\nAnswer: 2362838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/292 and 91\/16.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13744614 (base 8) to base 13.\nAnswer: 85863a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h + 103. Let g be s(11). Solve -25*m + 20*m = -g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 13 = 7*z - 2*z, -5*z = 5*d + 5. Factor -5*o**2 + o**z - 148*o + 133*o + 2 + 2.\nAnswer: -(o + 4)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 48*r**3 - 8*r**2 + 11*r - 6. Let f(v) = 17*v**3 - 3*v**2 + 4*v - 2. Determine -17*f(g) + 6*j(g).\nAnswer: -g**3 + 3*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pttx when four letters picked without replacement from kzpkpkxktkkpttktk?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530011?\nAnswer: 79, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 40\/59 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 195422748 less than 5?\nAnswer: -195422743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-2)*(-210)\/770.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -139 + 143. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -8*m + y - 112, -2*m = -0*y - y + 15 + 17 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3\/3 + 2*p**2 - 2*p - 1. Suppose 3*n - 2*n = 4*j + 21, 1 = j + n. Give i(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkkq when four letters picked without replacement from kkbbbhqfnqqq.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -52, -10, -2, -27 in increasing order.\nAnswer: -52, -27, -10, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) + sqrt(78)*-2)*1)\/(sqrt(384) + sqrt(384) + 2*sqrt(384)).\nAnswer: sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/9))**43*(d*d\/((d*d**(3\/2))\/d))\/((d**(-8)\/d)\/d))**(5\/16) assuming d is positive.\nAnswer: d**(85\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 12. Let q = m - -8.3. What is the smallest value in 0.1, q, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4*n - 92, 5*u + 8*n - 127 = 7*n. Suppose 2*z - 10 = -5*y, u*y - 20 = -4*z + 22*y. Solve -5*l - 5*g = -7*g - 3, 3*l + 2*g - z = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 4) in base 14?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 5404\/168*-9*(-52)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**5\/120 + 15*r**3 + r - 134. Let t(a) be the third derivative of b(a). Let h(y) = 24*y. What is t(h(x))?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 0\/(-2) - -3. Let k(j) = -9*j**3 - j. Let x be k(-1). Suppose 5*f - 8 = -3*o, -2 + x = o - f. Solve v*h - 2 = o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 82, 617, 2074, 4915, 9602, 16597, 26362, 39359?\n\"Answer: 77*f**3 - f**2 - f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -263704 divided by 1108\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5) + ((19 - 36) + 1 - -86) + 5?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.01 - 3.51. Which is the second biggest value? (a) 3\/5 (b) -0.01 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68259 and 0.5.\nAnswer: 34129.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*b - 2343 = 46*b + 21*b - 202*b for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.8499021 and 1170.\nAnswer: 1167.1500979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-8) - 3\/(-12). Let v = 3 - 2. Let b = v - 0.7. What is the second biggest value in b, 0.4, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Let g(k) = k**3 - 7*k**2 + 8*k - 8. Let s be g(6). Suppose s*t = -5*q + 2*t - 33, 0 = 4*q - t + 16. Put z, q, 3 in decreasing order.\nAnswer: 3, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 261222414.1001195 - 261222356. Let f = i - 58.1. Round f to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129410658 by 6.\nAnswer: 21568443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -83.54. Let q = -42.96 - -42. Let u = d + q. What is the nearest to -1\/3 in u, 4\/3, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b = -2141 + 1053 + 1054 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yoyoyyyo. Give prob of picking 1 y and 3 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**3 + 20*s**2 + 20*s. Suppose -3*d + 57 = -2*d. Let o = d - 41. Let t be (3 - 8)\/((-4)\/o). Let i(g) = g**2 + g. Give t*i(x) - a(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 5*h + 2, -17*g = -16*g - h + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 108570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 5*l**3 - 352*l**2 + 352*l**2 - 2*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((1\/6)\/(180\/(-324)))\/(-3).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*y + 134*y + 25512 = 0. List the prime factors of y.\nAnswer: 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 705591*i*u**5 + 629313*i*u + i wrt u.\nAnswer: 14111820*i*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 488 and 1342.\nAnswer: 5368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*w**4*y*z**2 + w**3*y*z**2 + w**2*y*z - w*y*z**2 + 62*z**2 wrt w.\nAnswer: -912*w*y*z**2 + 6*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h - 1. Let x(i) = -i. Let k(s) = -20*x(s) - 5*z(s). Let f be k(-2). Let l be ((-60)\/f)\/(8\/(-28)). Which is smaller: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110111110111 (base 2) to base 14.\nAnswer: 2b1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/3)\/(-2))\/(45 - 59722\/1326)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7\/4)\/f)\/f**(-2\/19)*((f*f**(-1))\/f)**28 assuming f is positive.\nAnswer: f**(-2329\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -44732 rounded to the nearest one hundred?\nAnswer: -44700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**22*v)*v**(6\/11) assuming v is positive.\nAnswer: v**(-236\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -7\/6922829?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 divided by -12?\nAnswer: -251\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = -6*v - 66. What is the tens digit of (v + 21)*(-10)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141 and 2?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1 + 5 + b + 4 - 3. Let j be g(0). Suppose j*h - 55 = -0*h. What is the remainder when 31 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/620 - 2467\/8060. What is the closest to s in -5, -11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6348810 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 = 17. Let p be ((-3)\/(-6))\/((-6)\/j). Let t be (17\/(-425))\/((-2)\/(-10)). Which is the fourth biggest value? (a) p (b) t (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 6:40 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11239?\nAnswer: 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l = 2*c - 6, 2*c - 12 = -5*l. Let k = c + 1. Suppose 2*z - 3 = z - 3*f, -5*f = -k*z - 5. Solve z - 4 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237 = -133*x - 295 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 40*f = -19*f. Suppose g + f*g - 4 = 0. Suppose 5*m = s + 587, 2*s = -g*m + 6*s + 476. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.106 - 0.106. Let z be (-27)\/6 + 2\/16*-4. Which is the smallest value? (a) y (b) -0.1 (c) 0.3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 1083 = -3*r + 1095, 0 = n - 5*r + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5470 + 5024. Which is bigger: q or -445?\nAnswer: -445","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, x: 9, k: 1, o: 3}. What is prob of sequence xxno?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*2 + -7 + 4. What is the common denominator of -2 + i*2\/(-6) and -1 + 309\/(-12) + (-180)\/(-36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(6)\/sqrt(2) - (-5*(sqrt(3) - sqrt(108)))**2.\nAnswer: -1875 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5886071014.\nAnswer: 2, 29, 137, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23, -17, -11, -5, 1?\n\"Answer: 6*r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 0. Let f = -2.5 - y. Let r = -16 + 15. Sort 3, f, r in decreasing order.\nAnswer: 3, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(0 + 2\/54). Suppose 25 = -8*o - 39. What are the prime factors of o\/(-6)*q\/36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1208069543?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 4*d**2 - 2*d + 4. Let l be j(-2). Put -5, -1, 4, l in decreasing order.\nAnswer: 4, l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 116*u**3\/13 - 54*u**2 + 1080*u\/13 - 54\/13 = 0?\nAnswer: 3\/58, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169591 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**8\/462 - 13*x**7\/1155 + 7*x**6\/330 - x**5\/66 + 49*x**2\/2 - 39. Let q(d) be the second derivative of w(d). Factor q(n).\nAnswer: 2*n**2*(n - 1)**2*(4*n - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(1 + (-13)\/14). Suppose -3*o - x = -25. What is the units digit of (-95)\/o + (-1)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 0 - (-7)\/2. Let j be (1\/4)\/((-77)\/(-44)). Suppose x = -x. Which is the third smallest value? (a) j (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -16*v**2 + 429*v + 140278. Calculate p(108).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**6\/6 - 118*y**5\/15 - 8*y**4 + 972*y**2. Determine j so that o(j) = 0.\nAnswer: -2\/5, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -278, 16681?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l*l**(-1\/8)*l*l*l)*l*l*l\/l**(-2)*l*l*l**1*l\/(l*l**(1\/8)) assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-3*(sqrt(6) - sqrt(48)\/sqrt(8)) + sqrt(6)))\/(((sqrt(108) - 4*sqrt(108)) + sqrt(108))*-3)*-2)**2 + -1.\nAnswer: -17\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s + 12. Suppose q = 4*q - s. Is (0 + 235\/q)*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - 2. Let d(c) = -5*c**2 - 40*c + 2. Let j(v) = -11*v**2 - 88*v + 3. Let n(k) = 9*d(k) - 4*j(k). Calculate n(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.904512 rounded to 1 dp?\nAnswer: -11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 52 = l + 4*l, -2*w + 5*l = -43. Solve w = -5*g - 2*d, -g = 5*d + 3 + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 l when three letters picked without replacement from {v: 2, l: 4, q: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/5))\/z)**(-2)\/((z**(2\/7)*z)\/(z**(1\/3)\/z)) assuming z is positive.\nAnswer: z**(-289\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (4 - 0 - 7). Let j(d) = -d**3 - 5*d**2 - d + 4. Let y be j(v). Let a be 6\/(-12) - 1\/y*2. What is the closest to -0.4 in 0.3, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002637362728 to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61725897?\nAnswer: 3, 6858433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5173.829 litres in millilitres?\nAnswer: 5173829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -12 + 23 - (-2 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 122 = -70. Let c = -33 - p. What is the remainder when 44 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21038171*v**2*x**3 - 182941*v*x**3 - 20*v*x wrt v?\nAnswer: 42076342*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*b = -1108, 117*b = 4*d + 113*b - 1484. Is 370 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1104*b + 251. Let k be p(0). Solve k*w - 223*w = -168 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24531373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3007.735 millilitres to litres.\nAnswer: 3.007735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 64 - 36 + 7*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -95 (b) -0.097 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.691 to 2 dps.\nAnswer: -1.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 771 - -817. Let d = -795 + h. List the prime factors of d.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -2, -0.1, 0.39, 57?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 6*s**2 + 6*s. Suppose y - 17 = 2*f, -4*y - 2*f + 48 = -6*f. What is the remainder when c(6) is divided by 3*y + -1 - 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 14*p + 28. Let a be ((-3)\/(-9))\/1 + (-228)\/(-18). Is 15 a factor of v(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**4\/4 + b**2 + 9*b + 4. What is the remainder when f(0) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3555 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f - 2*f**2 - 11 + 18 + 5*f**2. Let z(u) = 5*u**2 + 14*u + 14. Let q(h) = -7*n(h) + 4*z(h). Calculate q(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-6) - -1)*18. Let v = 17 + s. Suppose 5*k - v = 25. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*w + 10970 - 10790 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzulhky. Give prob of sequence yh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -128947 minus 0.07?\nAnswer: -128947.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -72 + 458*x - 41 - 4 - 455*x - 126 in the form s*x + j and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(12\/14)*(-8)\/(-56)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (2 + -3) - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3830698 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.73884442 rounded to two decimal places?\nAnswer: -9.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 4*g - 38284, -5*f + 23952 = 17*g - 18*g. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2 + -28)\/3 + 1)\/2. Which is the third biggest value? (a) i (b) -2 (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/861 + (-20)\/84\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - ((-23 - -148) + 3 + -42)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 106*w**2 + 1655*w + 171. Let z be j(-87). Which is the third biggest value? (a) -7 (b) z (c) -3\/7 (d) 0.75 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1664250 and 229\/21635250.\nAnswer: 21635250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/2*(-4)\/(-6). Let b(s) = -s - 2. Let q be b(l). Solve 0 = -q*n + n - 4*h - 28, h + 17 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877029180 to the power of 1\/3, to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427623413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 + r**2 - r - 1. Let i(y) = -5*y**4 + 41*y**3 + 28*y**2 - 18*y - 2. Let p(s) = 10*g(s) - 5*i(s). Solve p(d) = 0 for d.\nAnswer: -1, 0, 2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12f99 + 1?\nAnswer: 12f9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**7\/14 - z**6\/5 + z**4\/2 - z**3\/2 - 3*z + 10. Let m(y) be the first derivative of i(y). Find k, given that m(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -23\/3*o**6 + 0*o**5 - 1\/2*o**4 + 12 + 72*o - 1\/3*o**3 + 0*o**2. What is the third derivative of j(x) wrt x?\nAnswer: -2760*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6053987 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 0.5, -1, -316 in decreasing order.\nAnswer: 4\/7, 0.5, -1, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25597 or -25598?\nAnswer: -25597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17\/204)\/(6\/112). Factor 4\/9*l**2 - 4\/9 + m*l**3 - 14\/9*l.\nAnswer: 2*(l - 1)*(l + 1)*(7*l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**2 - 100*q + 7*q**2 - 12*q**2 - 61*q + 4*q**2 to the form j + f*q + x*q**2 and give f.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p - 47*p = -77 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283003 + 90.5?\nAnswer: 283093.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/3)\/(4\/6). Suppose -4*r + 19 = -i. Solve 2*v - 2*j - r = 2*j, 3*j = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 12*i - 108. Suppose 9*u - 21*u + i = 0. Solve 3*y + 11 - 2 = u*k, 2*k + 3*y - 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -638.17 + -89.53. Let f = 778 + s. Let b = f + -50. What is b rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.171 - -1.571. Let h = 15 + -10. Which is the nearest to 1? (a) w (b) h (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57804219 is divided by 147.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(204)*-1)\/sqrt(12) + 2)**2 + -1 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7552.5 and 0.19.\nAnswer: 1434.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -46*o - 2145. Calculate h(-47).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyy when three letters picked without replacement from yyyyyeyedydyeeyyeey?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**4\/24 - l**3 + l**2. Let x be h(-6). Suppose x = -4*g + 5*c + 8, 3*c = -g - 0 + 2. Solve -13 = -g*k - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -5, 62, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9062 < -9062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -1 + 3 - 1 - 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -749908*j*y - 10172226*j with respect to y.\nAnswer: -749908*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 8*s - 35. Let u(n) = -4*n - 5. Determine u(s).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3092350403 to the nearest integer?\nAnswer: 55609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(117) + 4 + (sqrt(13) + 6*sqrt(39)\/sqrt(3) - sqrt(13)) + -5 + ((sqrt(156) + 2*sqrt(156) + sqrt(156))*-1)\/(sqrt(300)*-2)*-3)**2.\nAnswer: -108*sqrt(13)\/5 + 37933\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -113 * -0.4\nAnswer: 45.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 21*w = y + 23*w - 60 + 20, -6 - 9 = -3*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 8:12 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 - 2*n**5 + 3*n**5 + 0*n**3 + 53*n**5 - 17*n**5 + 11*n**5 + (-1 - n**3 + 1)*(-1 + 1 - 2*n**2).\nAnswer: 50*n**5 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, 3, 134, -9, -2 in decreasing order.\nAnswer: 134, 3, -2, -3, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281296685?\nAnswer: 5, 56259337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-1)\/(2\/48). What is the highest common factor of 40 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + sqrt(325) + 1 - ((sqrt(325) - sqrt(325)*-2*-5)**2 - sqrt(325))))*2*-1.\nAnswer: -20*sqrt(13) + 52646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 971379546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 5*m**2 - 7*m - 6. Let t be v(-4). Suppose 0 = -t*x + x - 25, 4*k = 2*x + 522. Let l = k - 60. What is the lowest common multiple of 6 and l?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5534*v**2 + 14*v - 14. Let h be x(2). What is h rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2*g**2 + 2 - 1 - 3)*(2*g + 2*g - 5*g)*(-11 + 14 + 25).\nAnswer: -56*g**3 - 56*g**2 + 56*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x*((x*x**(4\/7))\/x)\/x)*x**(4\/5)*(x*x**(-1)\/x*x)\/x**(1\/8))**12 assuming x is positive.\nAnswer: x**(2607\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 44 = -5*u. Suppose u*x = -15*x. What is the nearest to 2\/17 in -1, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5967 is divided by 1825?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 95896015211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 4. Suppose -24*b + 27*b + 3*x - 24 = 0, 4*x - 24 = -2*b. Let r be b\/(-28) + 52\/(-28). Determine i(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/25)*k)\/(k*k\/(k\/k**(-5\/7))))**12*(k\/k**(-1\/3))\/k**7*k**(-6)*k**3 assuming k is positive.\nAnswer: k**(454\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42241\/10 + -4229. What is the common denominator of o and (-2)\/6*162\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 - 14*r**2 - 4*r + 138. What are the prime factors of j(10)?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0395 - -0.3065. Let p = 0.044 - 0.077. Let a = p - c. Put 1, 4, a, 5 in descending order.\nAnswer: 5, 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 68366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 12621.\nAnswer: 2\/12621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4605 is divided by 1862?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 364 + 206. Let t = -65 + w. What is the remainder when t is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137896217 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*k - 1153, 2*k = 4*d - 3*k - 919. Is 44 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 149 = -4*p, p - 5*c + 12 = -20. Round p to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = r + 2, -2*i - 6 = 4*r. Let t be (-9)\/(-36) - r\/(-8). Solve -5*g + t + 10 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4467301 (base 8) to base 6.\nAnswer: 41520333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 393259028?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 1, -13264, 27 in ascending order.\nAnswer: -13264, -5, 0, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -566, -1957, -4202, -7295, -11230?\n\"Answer: i**3 - 433*i**2 - 99*i - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*u - 347 + 374 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6)*0\/(-2). Suppose d = -h - 4*h + 15. Solve -h*v + 16 = -r - 7*v, -3*r + 4*v = -16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9))\/((-1947)\/9)*7568\/(-688)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 7*m**2 + 5. Let t be q(7). What is the second smallest value in -5, t, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/8 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1239 and -211?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 + 31 = 30*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 3 = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364094?\nAnswer: 2, 182047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/544 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 9156.\nAnswer: 3\/3052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2 - 0) - (-1)\/(161\/(-621))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1049 + 357. Let i = r - -691.027. What is i rounded to two decimal places?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13205 + -0.05402348.\nAnswer: -13205.05402348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -13. Let s(y) = 18*y + 7. Let b(q) = -6*q - 2. Let o(i) = -14*b(i) - 4*s(i). Determine o(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52780267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5842 - 5719. What is the greatest common divisor of c and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (21 - (-9 + 40))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 2304.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3861 times -6.8?\nAnswer: 26254.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**(-1)))**(1\/12)\/(i\/(i\/(i\/(i\/i**0))))**(-25) assuming i is positive.\nAnswer: i**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from oooqoicohfoqcch.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -8 - 12. Suppose -8*f + d = -c*f + 155, f - d = 76. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 23 = -5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/3)\/(i**14\/i)*i**14\/(i**(2\/51)\/i) assuming i is positive.\nAnswer: i**(134\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 7*n - 8. Let f be w(8). Suppose -2*u + 3*u - 26000 = f. Round u to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07597 * -2\nAnswer: -0.15194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001084133493 rounded to seven dps?\nAnswer: 0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {o: 2, m: 10, u: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 21*j + 87. Let t be y(6). List the prime factors of (-2)\/t + 8382\/9.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 137 = -2*u - j, 0 = 5*u + j - 405. Let s = 84 - u. Calculate the remainder when 22 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + n - 18 = -4*n, -62*k + 68*k = -3*n + 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 13*x. Let i(w) = -164*w. What is i(u(y))?\nAnswer: -2132*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -169396, -169935, -170836, -172099, -173724, -175711?\n\"Answer: -181*z**2 + 4*z - 169219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 30 + 5*z + 18.\nAnswer: 5*z + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 6*m**2 + 6*m - 7. Let i be u(-5). Which is bigger: i or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -15, -18?\n\"Answer: -3*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 + -448\/5. Let n = 546\/5 - 110. What is the closest to x in 4, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 29. What is the remainder when 30 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 v, and 1 z when four letters picked without replacement from {r: 6, q: 1, v: 9, z: 3}.\nAnswer: 54\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1491*r + 6*r**2 + 154*r**2 - 218*r - 1271*r.\nAnswer: 160*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l. Let k(u) be the first derivative of 0*u**2 + 0*u + 4\/3*u**3 + 3. Give o(k(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/1063 + 3343\/403940. Let v = -5131\/380 + z. Let i = -38375\/3448 + 2\/431. Find the common denominator of i and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4075 divided by -669.\nAnswer: -4075\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 52798*x - 105595. Determine b(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108185 and 262955?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 3*o + 9*o)*(-43*o + 142 - 142)*(3 - 2*o - 3)*(-o - 3*o + 5*o).\nAnswer: 1376*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -234, -241, -250, -261, -274, -289?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p + 5. Determine l(29).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*z**2 - 21\/4*z - 9 = 0 for z.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Suppose 5*p + o - 21 = 0, -b*p = 4*o + 3 + 3. Let s be 2\/p + (-406)\/(-35). What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 1968?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from {t: 3, l: 1, m: 3, k: 2, w: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 3*c**2 - c + 1. Let k(l) = 17*l. Let m be k(-1). Suppose -13*u = -17*u - 56. Let o = m - u. Calculate n(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + i**2 + 3*i + (-134 - 17*i + 134)*(-3*i + 3*i + 2*i) + 0*i**2 - i**2 - i**2 - 6*i**2 - 2*i**2 + 2*i**2.\nAnswer: -41*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5044.5 and 2?\nAnswer: -10089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-2)*(27\/243)\/(4\/(-24))\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 6:33 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 329*p + 46*p**3 - 36*p**3 - 2.\nAnswer: 10*p**3 - 329*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -334, -665, -996, -1327, -1658?\n\"Answer: -331*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 2*t + t**4 - t - 22 + 2*t**3 - 57*t**2 + 58*t**2 to k*t + m*t**3 + x*t**4 + o + i*t**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (81*h + 29*h + 379*h)*(2*h**3 - 5*h**3 + 0*h**3) + (h**4 + h**4 + 0*h**4)*(2 - 1 - 2) to the form p*h**4 + j*h**2 + r*h**3 + x + a*h and give p.\nAnswer: -1469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**5\/20 + 5*j**4\/8 - 10*j**3 + 71*j**2\/2 + 77*j. Let k(o) be the first derivative of q(o). Differentiate k(b) wrt b.\nAnswer: -6*b + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2\/(-6))\/(33616\/(-1910)*(-4)\/(-32)).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + (1 - 22))*(-4)\/(-13).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9750*d + 4880*d + 4877*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -22\/42525?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 1 + (-14 - 3 + 44)*(2 - 3 + 0))*(0*q - 2*q + q).\nAnswer: 23*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p + 11*p + 14*p)*(300 + 673 - 113 - 145).\nAnswer: 12155*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14511 minus 17935987500?\nAnswer: -17936002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -ba095 (base 14) to base 3\nAnswer: -211212111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 0.08, 19?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 18880000 = -5*d. What is d rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5144, -41177, -138978, -329429, -643412, -1111809?\nAnswer: -1765502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, h: 3, a: 1, s: 4}. Give prob of sequence ay.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/7)\/((i**(-5)\/i)\/i))\/(i*(i**(-6)\/i)\/i*i*(i\/(i\/(i*i\/i**(-7))))\/i) assuming i is positive.\nAnswer: i**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1164190708*r**4 + 957270512 wrt r.\nAnswer: 4656762832*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/60 - 11*c**4\/24 - 29*c**3\/6 - 91*c**2. Let j be h(-6). Let f(x) = -31*x**2 - 2*x + 1. What is f(j)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6, -1\/55, 1?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)*-1)\/sqrt(12) + sqrt(5) - (-1 + sqrt(5) + 2))**2.\nAnswer: 2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43 (b) 0 (c) -0.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 7. Suppose 0 = -2*g - 36 - 22. Let b = 21 + g. Let c be l(b). Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1716405 and 53265.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - -0.15. What is the biggest value in 0.2, f, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:15 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 224 + 206 = 0. What is the closest to -11 in -4, -5, 0.3, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -301\/3 in 8, -12.04, -5?\nAnswer: -12.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 144.7915 and 0.9.\nAnswer: 130.31235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1305420 >= -1305416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -1053?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 62 - (3 + -51).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 76029 = -3*h - 10618, -h = o + 16351. Let j be (-2)\/(-13) + o\/(-182). Suppose -6*g - 18 = -j. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37.074 or 0.4?\nAnswer: -37.074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -2.6, -5?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3*b + 0*b)*(6 - 6 + b**2) - 62 + 62 + 14*b**3.\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**(-12))\/t)**(-1\/10)\/(t**(4\/9))**40)**(1\/14) assuming t is positive.\nAnswer: t**(-1717\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a7881a (base 11) to base 6.\nAnswer: -100544230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.28538 seconds to microseconds.\nAnswer: 23285380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-1 + 0)*1. Let j be f\/((-4)\/(12\/9)). What is the closest to j in -4, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 191192 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-18) + 410307656\/792 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -50\/303?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1253, 4948, 11127, 19784, 30913, 44508, 60563, 79072?\nAnswer: 100029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13212)\/72 + 182)*(-1)\/15.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1870?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 57 + -59 - (1 + -9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1523 + -935. Let j(x) = 1170 + 10*x**2 - w - 8*x - 593 - x**3. What is j(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 + -74. Let j = b + 25. Suppose j*h = 18*h + 780. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2368)\/(-416))\/(-37) + (-386)\/26?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 554\/186 - (60 + (-40 + -2810)\/50)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-1)*(-60)\/(-22)*1430\/1625\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -8.2. Let j = v - 9. What is the nearest to 1\/3 in 4, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3*u**2 + 9 + u**3 - 2*u**3)*(-2*u + 0*u - 4 + u) to the form q*u + z*u**2 + k + t*u**4 + a*u**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-152)\/220 - 2\/5 and 3\/(-12) + 1505\/(-60)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2310 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/110 and -49\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 14*u**2 - 45*u + 8. Let w(l) = -5*l**2 + 15*l - 3. Let t(v) = -6*c(v) - 17*w(v). Let b be t(-15). Suppose b*k = 82 + 32. Is 37 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4440 + 6953. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6413367 is divided by 1068860?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 59 = -55. Suppose -99 = q*z - 251. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104 + -89. What is the remainder when 26 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 327 = 3*t, -5*d + t - 920 + 77 = 0. Let h = d - -174. Calculate the remainder when (-247)\/(-7) + 2\/(-7) is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 3 - 3 + 0*j - 2*j + 0*j + 1 + 2*j - 1 + (3 + 2 - 6)*(-2 + 2 - 2*j) + 2 - 2 + j + 35*j + 72*j - 12*j)*(j + 1 - 1).\nAnswer: 101*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*n, -2*d + 3*n = 4*n. What is the nearest to d in 0, 4\/3, -2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.4 (b) 4 (c) -0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**4 - 2*g**4 + 5*g**4 + (-8*g**2 + 6*g**2 + 4*g**2)*(-14824 + 14824 + 237*g**2).\nAnswer: 473*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2. Let f(p) = 20*p - 1. Calculate f(u(a)).\nAnswer: -20*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19754850 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8962.224 minutes to milliseconds.\nAnswer: 537733440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 52 - 58. Factor -8*c - 52*c**3 + 48*c**i - 13*c**2 + c**2.\nAnswer: -4*c*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*o**2 + 258*o**2 - 81*o**2 in the form s*o + z + r*o**2 and give r.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -19, -1, -804, 4 in increasing order.\nAnswer: -804, -19, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7140 and 1920.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 695 a factor of 1800466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.05 - -6. Let x = 0.1 + i. Let l = x + 0.05. Is l < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*v = -317*v - 5*c - 39, 0 = v - 2*c - 9 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose v*z - 2 = 6. Let r(i) = 4*i**2 - 4*i**z - 4*i**2. Let b(p) = -2*p. Determine b(r(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 4. Suppose -o + 4*o = 30. Let n be 3*(0 - o\/(-6)). What is r(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1482, -1575, -1668, -1761, -1854?\n\"Answer: -93*i - 1389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -395, -824, -1539, -2540, -3827, -5400?\n\"Answer: -143*n**2 - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3499 + 115495\/33. Let c = a + -2\/3. Which is greater: -1\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*c + j - 48, 0 = -4*c + 4*j - 120. Let l = c + 54. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 6 - 7) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 14*r**2 - 18*r + 41. Calculate k(13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -0.1 (b) 1 (c) 5 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1756?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4143 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 408000?\nAnswer: 3672000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101110 - 110000010110000101110?\nAnswer: -110000010110101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4)*(-10 - 50 - 32)*(-3*z - 4*z + 6*z)*(-4*z**3 + 5*z**3 + 0*z**3).\nAnswer: -276*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 271966213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehhw when four letters picked without replacement from hehehehehwhweh.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 483070?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jppipjjjjip. Give prob of picking 1 p and 2 i.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 784, 780, 776?\n\"Answer: -4*v + 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -944 - -953. Solve 0 = 4*h + 5*f - c, -2*h + f - 1 + 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5906856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -40 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**3 + 31*v**2 - 80*v + 395. Determine z(4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2640994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5154 (base 8) in base 12?\nAnswer: -1664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17976 and 51?\nAnswer: 305592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 r when three letters picked without replacement from gwkggkggwggkrkkrwk?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2039487\nAnswer: 5\/2039487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 28 = -c - 19, -q + 18 = 5*c. Let a(v) be the first derivative of -1 + 1\/2*v**2 + v - v**q. Let r(s) = -s**2. What is 2*a(h) - 7*r(h)?\nAnswer: h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11612\/6983 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 2*r - 3. Calculate w(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, 0, 2, 3, 8.\nAnswer: 0, 2, 3, 8, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times 8555?\nAnswer: 941.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 12 - 8. Suppose 0 = 3*g - y*f - 48 + 16, 0 = -g - 5*f - 21. Suppose -5*o = -2*d - 1, -6*o - 5*d = -o - 15. Sort o, g, -5 in descending order.\nAnswer: g, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/234333 and -5\/264.\nAnswer: 1874664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 255926717 - -37510.\nAnswer: 255964227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151.357 * 3.\nAnswer: -454.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**5 - 2*b**3 - 2. Let h(y) = 1141*y**5 - 6*y**3 - 113*y - 3. Let m(a) = h(a) - 3*s(a). What is the second derivative of m(w) wrt w?\nAnswer: 22880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 20 = -4*n - 16, 5*u = 20. Let t be (-15*4\/(-140))\/n. Factor t*q**3 + 36\/7*q + 0 - 12\/7*q**2.\nAnswer: q*(q - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 2)*((-4 + 5 - 4)*(2*a - 1 + 1) - 4*a - 4*a + 6*a + 3 - 3 + a + (-5 + 5 - a)*(2 + 1 - 1)) as n*a + x and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2250778420 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c - 25*c - 36 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -31*-40155\nAnswer: 1244805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 12*h - 4. Let v(o) = o**2 + 7*o + 2. Suppose 18*i = 13*i + 2*q - 23, 4*i + 28 = 4*q. Let m(a) = i*l(a) - 5*v(a). Give m(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -322, 0.02, 0.1, 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 18*r + 34. Let s be w(-7). Suppose s*q = 7*q - 5. Solve -o = -10 + q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-20))\/(-1)*5. Let u(l) = 2*l**2 + 8*l - 4. What is the lowest common multiple of u(f) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/30 + (18\/10 - 1).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -430 + 4065?\nAnswer: 3435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -233888 - -1247?\nAnswer: -232641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -842*d + 7483. Determine u(9).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48175*r + 48169*r - 6*r**3 - 18*r**3 to o + f*r + l*r**3 + i*r**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10740 in 3\/2, 0, 0.4, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**3))\/q**(-4\/7)*(q*q**6)**(25\/4) assuming q is positive.\nAnswer: q**(1157\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12309*z + 13 - 49149*z - 13.\nAnswer: -61458*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 3215906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -85720536 divided by 4?\nAnswer: -21430134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 e when four letters picked without replacement from {e: 6, n: 4}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 9:39 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l. Let x(g) be the third derivative of -g**5\/30 + 12*g**2 - 1. Determine u(x(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r**2 - 563*r + 232900. Determine g(-227).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -109 (b) 0.3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*l**3 + 1\/2*l**2 + 0*l + 0 + 1\/2*l**5 + 3\/2*l**4 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-1.73\nAnswer: 0.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 3 + 56*y + 3 + 7 + 4.\nAnswer: 56*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from cojxgja.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -7*j + 14. Let q = j - 8. What is the biggest value in 1\/3, q, -1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + (sqrt(187)\/(-2*sqrt(704)))**2 - (sqrt(204) + -2*sqrt(204)*1 + sqrt(204))\/(sqrt(24)\/sqrt(2)*5)).\nAnswer: 6485\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 8 = -3*x. Let i(l) = x*l**2 + 3*l**2 - 2*l**2. Let u(c) = -7*c. Give i(u(y)).\nAnswer: 147*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 1. Let l(f) = -f**3 + 13*f**2 - 7*f - 38. Let o be l(12). Let a be (-55)\/o*(-4)\/(-5) - 4. What is m(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-470)\/1175*(-2 + 1)\/(-1). Which is the third smallest value? (a) 13\/4 (b) o (c) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-3\/4))\/(k*k**(-2\/15)*k))\/(k**(1\/3))**(-2\/39) assuming k is positive.\nAnswer: k**(-233\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310793153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 248*c*x - 2*c + 2*x**3 - 2288 wrt x.\nAnswer: 248*c + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/8 + 3\/(-2) - -38267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -505*c**3 + c**2 + 2*c - 1. Is q(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4436 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 14163 = 21*o - 442*o - 4625 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -3*w**4\/2 + 2*w**2. Suppose 27*a = -0*a + 1410480. Let i(s) = -52240 - s**2 + a. Calculate i(y(g)).\nAnswer: -1296*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:30 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbvbvvbvvvvvvvv. Give prob of picking 3 b and 1 v.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a - 8. Let p be k(-8). Let w = p + 70. Let v = w + 17. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 20*z - 2. What is a(14)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by 3.\nAnswer: -65\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8\/(x\/x**(-5)))**(4\/11) assuming x is positive.\nAnswer: x**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28126940 or 28126941?\nAnswer: 28126940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -28. Let k = -3 + 3. Sort k, f, 2 in ascending order.\nAnswer: f, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (2 + 13 - (1 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 8) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r - 36. Let n be b(7). Let t = n - 15. What is the nearest to t in 0.1, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 16. Suppose -x + 3*t = 24, -2*t = -2*x - 6*t - a. What is the remainder when 39 is divided by (-29 - -28) + (-2)\/(4\/x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32145630053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5233 - 5173. Calculate the greatest common divisor of 1470 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 15) to base 2\nAnswer: -110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + j + 1. Let w(d) = 1. Determine -b(x) + w(x).\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.055996 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9781283 is divided by 541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u - 2. Let k = -471 - -483. Let q(o) = 14 + 33*o - k - 26*o. Calculate 4*n(j) + 3*q(j).\nAnswer: -7*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9869*f + 3. Let r be c(1). Suppose p - 2*u - 4916 = 0, 3*p + r = 5*p + 4*u. Suppose 0*q = 6*q - p. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 219 - 141. Let n be (-2)\/(-8) + i\/72. Suppose -x + 19 = 23. What is the biggest value in -1, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l**3 + 1025*l**2 + 4*l + 14. Let i(u) = -7*u**3 + 1027*u**2 + 5*u + 18. Calculate -4*i(b) + 5*z(b).\nAnswer: -2*b**3 + 1017*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/178153 + 17993273\/16033770. Find the common denominator of -44\/15 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75231.26l to millilitres.\nAnswer: 75231260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 27. Let y = -36 - o. What are the prime factors of (36\/y)\/((-3)\/10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/(-55)*(-38)\/(-4) and ((-180)\/28650)\/(8\/90)?\nAnswer: 4202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2028*y**2. Let o(x) = 14*x**2 + 30*x - 12. Let h(c) = -2*c**2 - 5*c + 2. Let j(b) = 6*h(b) + o(b). Give k(j(r)).\nAnswer: 8112*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 - 1839*p + 97*p - 36 - 22 to the form x*p + c and give x.\nAnswer: -1742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 5, -18, 7, 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 y when three letters picked without replacement from ayat?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -198 + 108. Let f be 400\/((-1)\/4*8\/r). Round f to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n. Let p(c) = -241*c - 397. Calculate p(g(h)).\nAnswer: -964*h - 397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4561577?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnnunuunnnnnnnunn. What is prob of sequence un?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 0 + 0 - 5*l**2. Let f(a) be the first derivative of 20*a**3 - 38*a**3 + 19*a**3 - 8. Give v(f(x)).\nAnswer: -45*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y - 86. Let r be t(16). Let u(k) = k - 8. Let l be u(4). Is l smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) 20546 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.6659 + 14.7659. Let d = 0 + -3. Let t = -2.5 - d. What is the third biggest value in z, 4, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6110313 (base 9) to base 11.\nAnswer: -1923187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-981)\/18 + 3\/2. Let n = -3 - s. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1606, -1748, 3 in decreasing order.\nAnswer: 3, -1606, -1748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**0*v))\/(v*v**(4\/7)))\/(v*v*(v*v**(-2\/3))\/v)**(-28) assuming v is positive.\nAnswer: v**(751\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -5*i**4\/12 - 5*i. Let t(q) = -2*q. What is w(t(u))?\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 19*s + 15. Suppose 7*m - 17*m + 8*m = 26*m. Determine j(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 297\/(-132)*(-2)\/18. What is the closest to -3\/8 in -0.7, c, -5, 1\/7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -17*j + 30. Let q(r) = -r**3 + 11*r**2 - 6*r - 30. What is the remainder when q(j) is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*v = 627*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19248 * 0.4\nAnswer: -7699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t + 4*y + 130 = 0, -125 = -4*t - y. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, t: 2, l: 7, e: 8}. What is prob of sequence vte?\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000582222998 to 6 dps.\nAnswer: 0.000582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3 = 0, 11 + 13 = -3*p + 4*r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.233, -29, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65630621 to the power of 1\/2, to the nearest integer?\nAnswer: 8101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 14*t + 26. Let c = 101 + -116. Let r be d(c). Which is greater: r or 38?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -693, -692, -691, -690, -689?\n\"Answer: h - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2283 divide 74584357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 577 + -509. What is the remainder when i is divided by 13 + (0 - 1\/(-1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354012179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 3 - 3)*(1 - 5 + 18) to y + o*t and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 4*a - 8, 4*s + 12 = 4*a - 2*a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 - 0.4128\nAnswer: -0.5228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*u + 23, 5*u = x + 2*u - 3. Suppose -z + 0*z = -x. Let q be ((-100)\/(-6))\/(2\/z). What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 2, -1, 10, -8340 in descending order.\nAnswer: 10, 2, -1, -2, -6, -8340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -10 - 3\/2*r**2 - 2*r - 1\/3*r**3. What is l in k(l) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 13.4. Put y, 5, -0.1 in ascending order.\nAnswer: -0.1, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 527 - 794. Let i = -267.3 - b. What is the second smallest value in 2, 1\/10, i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 2*m - 5 = 0, 5*h - 1240*m - 10 = -1241*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*d - 411, -564 = -3*d + 4*i - i. Let k = d - 187. Solve -2 = -2*c, -k*o - 5*c + 15 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15, 479230, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a. Let f(w) = -15*w + 71. What is f(s(j))?\nAnswer: 15*j + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 15*x**2 + 36*x + 30. Is w(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*a + 921 + 1167 - 2148 to the form x*a + c and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u. Let x(v) be the second derivative of 2*v**4\/3 + 53*v**2 - 6378*v. Calculate f(x(o)).\nAnswer: 32*o**2 + 424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 - -11?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 763, 764, 759, 742, 707, 648, 559, 434?\n\"Answer: -a**3 + 3*a**2 - a + 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1740.52 - 0.9.\nAnswer: 1739.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 y when four letters picked without replacement from uuuuuyuuyuuu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 146, 143, 156, 191, 254, 351?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5293208189 to the nearest integer?\nAnswer: 72754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(10) - -5*sqrt(10))*1)\/(sqrt(5) - -4*sqrt(5)*-2 - sqrt(5)))**2.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Solve g = r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1271.3 and -59.\nAnswer: -75006.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 2:56 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -490*n**3 + 3*n**4 - 5*n**4 + 494*n**3 + 2 to g*n**3 + p*n + u*n**4 + l + t*n**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8*i**2. Let o be p(-2). Let c = -8 + o. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -384736\/39 - -9866. Which is greater: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*l - 366. Find the common denominator of 1 - (1\/4 + 176\/40) and (-3)\/((-96)\/l) - 2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 6*u**3 - 2 - u - 2*u**2 + 13*u**4 - 15*u**4 to t*u**3 + x + g*u + h*u**2 + s*u**4 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 8 - (-6 + (-10 - -16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -182\/11 - -2419\/99. What is the common denominator of v and 114\/56 - (-1)\/2?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119638591 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m\/((m\/(m\/m**(3\/4)))\/m))\/m)*m*m\/(m\/(m*m**(2\/7))))\/(m**(4\/7)*m*m\/(m*m\/(m*m\/(m\/(m**(-14)\/m))))))**(-2\/155) assuming m is positive.\nAnswer: m**(-489\/2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16716926 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 224\/(-308)*(-33)\/54*(-15)\/(-10)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -9*d**2\/2 - 4*d - 1. What is the remainder when c(-6) is divided by (-36)\/8 + 3 + (-74)\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -4*d. Suppose -d*t = -7*t. Solve t = -m - 0*m - 2*c + 5, m + 15 = 3*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 1\/(2\/(-132)). Let u be 5\/(-5) - f\/22. Let w = 4\/77 + u. Calculate the common denominator of w and -23\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -15*v + 3. Let g be ((-20)\/(-30))\/(v\/174). What is g rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 3*v - 25 + 19, 9*b - 10 = -v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30160\/3 - -10054. Factor -2\/3 + 0*q + d*q**2.\nAnswer: 2*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/4)\/(2\/8). Let w = 19 + t. Suppose -3*g = 5*q + g - 39, 5*q - w*g = 31. Calculate the remainder when q is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -10 - (-4 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-4\/13)*g*g\/(g**(-11)\/g))\/((g**(-10)\/g)\/(g\/((g\/(g**8\/g)*g)\/g)*g)))**(2\/19) assuming g is positive.\nAnswer: g**(892\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -9*u + 4. Let d = 0 + 1. Let x = u - d. Let m(c) = c**2 + 7*c + 5. Determine m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 times 0.036?\nAnswer: -12.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlo when three letters picked without replacement from ddllrddo?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -1037 - 758. Suppose 11*m - 1176 = 4*m. Let g = j - m. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.3. Let n = 0.798537 + -0.398537. Which is the closest to j? (a) 4\/7 (b) n (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2156) + sqrt(2156) + 0 + (sqrt(44) - sqrt(6336)*-1) + 3)**2.\nAnswer: 540*sqrt(11) + 32101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*v + 10 = -2*r, 3*r = -v - 2. Suppose r = -2*a + 6*a. Suppose j - 3*j + 16 = a. Calculate the remainder when 31 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8989, -1\/9, 1\/4?\nAnswer: -8989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14*y - 278. Give b(15).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 6*p**2 + 4*p - 4. Does 12 divide g(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*b - u, b + 2*b = 3*u + 3. Let l(c) = 6*c + 0 + c - 6*c + c**b + 2. Is 5 a factor of l(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**4 + 4740*q**3 - 1089665*q**2 - 16002870*q - 46272200 = 0.\nAnswer: -10, -4, 481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754317397.\nAnswer: 754317397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1218672 is divided by 164.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6778603275 - -0.000112.\nAnswer: 6778603275.000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 12) in base 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 - 3 + 5 + 8*z**2 - 2*z**3 - 5*z**2 - 3*z**4 as d*z**2 + k*z + u*z**4 + y*z**3 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.942 litres in millilitres?\nAnswer: 106942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2. Let g(f) = -281*f**2 - 4*f - 8. Let t(a) = -427965*a**2 - 6094*a - 12188. Let q(l) = -3047*g(l) + 2*t(l). Determine u(q(o)).\nAnswer: -76729*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88144 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 10*x**5\/3 + 64*x**4\/3 + 48*x**3 + 148*x**2\/3 + 70*x\/3 + 4 = 0.\nAnswer: -3, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 16. What is the nearest to 2\/5 in 5, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.7 + -16. Let o = -4.7 + z. Let u(v) = -5*v - 5. Let j be u(-1). Which is the nearest to 0? (a) o (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*i - 2*i + 44, 0 = -3*z + 5*i + 79. Suppose -81 = -p + 3*v, -4*v = -p - 3*p + 348. Calculate the highest common factor of p and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 697 and 24055.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414040*w**2 + 21*w + 29*w - 38*w - 414039*w**2.\nAnswer: w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-2 - -1)) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -21218, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 564, 567, 570, 573, 576, 579?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 - 7 + 7)*(50 - 21 + 111 + 156)*(9*p + 5*p - 2*p) as u*p + g + n*p**2 + x*p**3 and give x.\nAnswer: 3552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9 + 132\/4 - -10.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + k**3 + 0*k**3)*(156 + 115 - 558).\nAnswer: 861*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -568 - -567.893. Let f = -0.207 - p. Is 345 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.28 (b) -162\/343 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -272656.959 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 880112843 to the power of 1\/3, to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k - k**2 + 5*k**2 + 12 - k**2. Let b be g(-5). Calculate the greatest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m = -45. Let w(g) be the first derivative of g**3\/3 + 9*g**2\/2 + 11*g - 220. What is the remainder when 19 is divided by w(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -61. Let r(w) = -4*w**2 + 4. Let x(d) = 9*d**2 - d - 7. Give j*r(p) + 2*x(p).\nAnswer: -2*p**2 - 2*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.09, -4, 0, 1 in decreasing order.\nAnswer: 1, 0, -0.09, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -21. Suppose -4 = 2*l + 4*s, 17*s = l + 12*s - 12. Solve 3*z = v + 2, l*v = -3*v - z - y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50052\/(-430) - -6 - -116?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:36 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 7 - 977. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184987 is divided by 2643.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*p + 430 = 424, p + 3 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/2*9\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3277 + -2917. Calculate the greatest common divisor of 135 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - l**2 - 5*l - 3. Let j be q(4). Suppose -j = 3*v - 8*v. Suppose 0*w**2 + 0*w**2 + 3*w - 6*w**3 + 3*w**v = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 3*f + 3*f)*(-2 + 0 + 1)*(23 - 70 + 11) as m + r*f and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 3*j + 5. Let u(s) = 4*s + 6 - 2*s**3 + 0*s**3 + 5*s**2 + 3*s**3 - 2*s. Let q be u(-5). Give w(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 1. Let i = 2 - 1. Let w be r(i). Solve -8 = w*y - 2*g, 3*y - g - 8 = -3*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2487, -9178, -20329, -35940, -56011?\nAnswer: -80542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141 + 264. Suppose 0 = -3*i + 7*i + y - m, 3*i - 2*y = 84. What is the highest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9632*i**2 + 57813*i + 130. What is k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 143638 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 h, and 1 i when four letters picked without replacement from {h: 1, i: 2, b: 14}.\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -20*c. Suppose 15*g - 20*g + 80 = c. Let x = 11 - -20. Calculate the remainder when x is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + h**2 - 14*h - 3. Let r be l(-4). Suppose -2*g = r*z + 19, -2*g = -5*g + 2*z. Which is smaller: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (5 - 6) - (224\/(-52) + 3)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5662414*m**3*s**3 - 1375059*m**3*s**2 - 4*m**3 - 4*m*s**4 wrt s.\nAnswer: -33974484*m**3 - 96*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -4*v**3\/3 + 25*v**2 - 2*v + 16. What is z(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2535273?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 3*h + 4*z - 15 = 0, 0 = h + z - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2)*-3)\/(54\/9468) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 2 - 3*j - 15*j)*(-15570*j + 3 - 2 + 15540*j).\nAnswer: 330*j**2 + 49*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 10. Let a = q - 0. Solve 0 = 4*p - a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 64 = -4*y, 3*z - z = -3*y + 23. Let r(w) = 170*w + 1. Let n be r(1). Let p = n - 116. Calculate the highest common factor of y and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1126, -3880, -8284, -14344, -22066?\n\"Answer: -z**3 - 819*z**2 - 290*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120.94 - -1.06. Let m = x - 142.8. Round m to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, c: 4, a: 2, p: 4}. Give prob of picking 2 l, 1 a, and 1 p.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*sqrt(176) + 4)*3.\nAnswer: 12 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1407277.1*-8.3.\nAnswer: -11680399.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 160?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 1935.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1193032*p**3 - p + 5*p - 4*p - 1186044*p**3.\nAnswer: 6988*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 97426078 * -5\nAnswer: -487130390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 7*j)*(4*j + 2*j - 11*j) in the form c*j + l + r*j**2 and give r.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -1)*1725\/30. Let n = 1048 + k. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*((-4)\/(-2) - 3). Suppose -2*r = r - a - 41, -4*r - 3*a = -33. Let y = d - r. Let j(m) = -3*m - 2. Let l(t) = 4*t + 2. Determine y*l(k) - 5*j(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 20 = t + f, 2*t = -3*f - 25. Let w = 91 + -110. Which is bigger: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 - 2*m**2 + 3*m**2 - 4*m + m**3 + 5*m**2. Let i(g) = g**3 - g**2 - 3*g + 3. Let b be i(-3). Let w be 3\/1*(-25 - b). What is k(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + -61. Let b = 105 + y. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, f: 2, u: 2}. Give prob of sequence fvfv.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**8\/168 - i**7\/5 + 47*i**6\/60 + 7*i**5\/10 - 23*i**4\/6 - 2734*i**2. Determine v, given that a(v) = 0.\nAnswer: -23, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 4. Let d be z(7). Let b be ((-14)\/d)\/((-3)\/9). Let q = b - -24. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 1. Let v be x(1). Suppose 3*q - 2*q - 3 = v. Factor -2*d**4 + 3*d**2 - 6*d**q - 2*d - d**2 + 8*d**3.\nAnswer: -2*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 201 in -0.3, 1\/19, -27, 2\/15, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.0344 (c) -5 (d) -1\/10 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 8*z**2 + 22*z + 41. Calculate the remainder when h(-10) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*j - j - 16, 4*j = 0. Suppose 7*p - t = -p. What is r in 2\/7*r**p + 0 - 2\/7*r = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46980? (a) -3\/7 (b) -1\/2 (c) 18 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4*(140\/(-32) + 4))\/3. Let i(r) be the first derivative of -x*r**4 - r**2 - 4\/3*r**3 + 0*r - 5. Factor i(n).\nAnswer: -2*n*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 = 23*p + 9. Solve -6*y - y + p = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxbksrkrkbkkkssxbbrr. Give prob of sequence srrk.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 6. Let v be z(-9). Suppose v*x - 135 = -2*x. Let w = 26 - x. Sort 5, w, 2 in descending order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7)\/l**(-1\/5))\/((l\/(l**3*l)*l)\/l**1))**(11\/4) assuming l is positive.\nAnswer: l**(561\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/874 and 65\/8?\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j**2 + 50*j**2 - 39*j**2.\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**4\/2 + 9*o**3\/2 - 9*o**2\/2 - 21*o\/2 + 9 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) 5 (c) -0.3 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81.8 - -82. What is the nearest to k in -1\/6, 4, 16?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00182092964 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*o + 1158*o = 587*o - 6*z + 185, 0 = z - 31 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 8*v - 78, 40*v + 2*v + 39 = w + 20*v for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 992*r - 5. Let b(o) = -188972*o + 952. Give 5*b(x) + 952*p(x).\nAnswer: -476*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 5*z - 3. Let i be m(-5). Suppose 2*r = 4*u + i, r + r + 5*u = 31. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6\/11)*k\/k**(-2\/13)*k*k assuming k is positive.\nAnswer: k**(373\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 0. Let c = v + -0.3. Let o = -0.1 - -0.1. What is the third biggest value in 4, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/6*15\/750*15*5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -247 in 2\/25, -4, 3, 6\/7, 2\/9, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378, 407, 430, 441, 434, 403, 342?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**5\/60 - h**4\/3 + 9*h**2\/2 - 9*h. Let y(v) be the first derivative of g(v). What is the second derivative of y(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.008 - -0.052. Let f = g + -0.06. Let b = -332.2 + 332.9. Is f equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (19 - 15 - 11\/5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/1 - (-3 + -4). Suppose 0 = -b - g*b - 120. What is the units digit of ((-30)\/b)\/((-2)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 209*i - 2. Let m be v(3). Let r = 1706 - m. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 4*q - 2, -q = -4*s - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -139001792 and -0.5.\nAnswer: 69500896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -325*y + 4035. What is l(13)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 6*y - y - 5 + 1. Let p = 7 - 0. Let l(u) be the second derivative of -11*u**3\/6 - 7*u**2\/2 + 119*u. What is p*f(s) - 4*l(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -1 - 5) + 32 + -16 + -13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Solve -q*n = 2*w - 8, -4*w + n = -2*n - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + i - 16, 4*c - i + 4*i = 28. Suppose c*r + 15 = 7*r. Let q = r - -10. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.3? (a) 12.17 (b) -47 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/4530460 and -47\/4118600.\nAnswer: 45304600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5270116204.\nAnswer: 2, 47, 199, 140867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2372.79184 and 2.7776?\nAnswer: 2370.01424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10561, 42055, 94541, 168013, 262465, 377891?\n\"Answer: -w**3 + 10502*w**2 - 5*w + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/21)\/(2\/(-7)). Solve -7 - 13 = -n*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3389 + -3373. Suppose 2*c = 3*c - 540. Suppose -12*i - c = -w*i. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/99 and 2\/341?\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/3)\/((-2)\/(-6)). Let c = -1 - s. Suppose 63 = c*l - 39. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*11.49.\nAnswer: 57.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -786 - -749.2. Let b = x - -36.80111. What is b rounded to five decimal places?\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i + 224. Let c = 57 - i. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 1. Let s(w) = -3*w + 4. Let l(a) = 2*a - 3. Let r = -227 + 222. Let p(v) = r*s(v) - 7*l(v). Let j = 15 - 8. Determine j*p(y) + 6*g(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/489 and 73\/6682536.\nAnswer: 1089253368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 1, -3\/13, -1\/4, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12202018 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**2. Let n(u) = -383*u**2. Give n(w(i)).\nAnswer: -13788*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/((-2040)\/(-930)))\/(3\/(-12)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003178 to five decimal places.\nAnswer: -0.00318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*h**5 + 25*h**5 + 15*h**5 - 5 + h**5 + 5 + (-4*h**2 + 4*h**2 + 2*h**2)*(-h**3 + 6*h**3 - 4*h**3) + (-h**4 - h**4 + 4*h**4)*(5*h + h - 4*h).\nAnswer: 34*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (12\/14 - (-5978805)\/147) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, 14 in decreasing order.\nAnswer: 14, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 4*n - 2*n + 8*n - n - 2*n + (-8 + 8 - 9*n)*(-3 + 3 + 1).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 26*s**3 - 3*s**3 + s**3.\nAnswer: -28*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64441901 is divided by 1534330.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -4410313343?\nAnswer: -4410313401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 22. Let z be (1 + -2)*g + -1. Is (-2)\/(-5) - (-18)\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 113586\/36 - (65\/30 - 2). Calculate the greatest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -12\/31 (b) 1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 4*t - 1, -2*t = t + 2*v + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31660688 is divided by 22375.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1440 = 4*u + 8*u. Let l = u + 123. Suppose 0*m + 2*m = -n + 126, -5*n = l*m - 189. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 91, 86, 81, 76, 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from koovvvkvszkokkkko. Give prob of picking 1 o and 1 z.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3. Suppose 7*w - 2*w + c + 6 = l, 2*c = -5*w - 7. List the prime factors of (-7)\/w + 0\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -886572209*b*l - 96388987*l with respect to b.\nAnswer: -886572209*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 10*n + 29. Let g be c(12). Let r be g*(35\/(-10) - -3)*2. Let u be -4 + 2 + (-42)\/(-27). What is the biggest value in r, -0.1, u, -0.25?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 4. Let z be a(0). Let c = 8 + z. Sort c, -1, 1 in decreasing order.\nAnswer: c, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1373329, -1373328, -1373327, -1373326, -1373325, -1373324?\nAnswer: -1373323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 4) to base 15.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 509 divide 10576946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-9))\/((-332)\/(-249))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 22 + 14. What is the remainder when 79 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -90. Let u = 76 - f. Does 24 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/((-280)\/(-60))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**3 - 3 + 1 + 32*j - j**2 + 0*j**3 - 36*j to the form o*j**2 + b + c*j**3 + m*j and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24637133, -49274261, -73911387, -98548511, -123185633?\nAnswer: -147822753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {y: 8, z: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 + 33 = 0. Suppose -y + i = -0*i + 29, y = -2*i - b. Let r = y - -35. Solve 3*t = r*l - 13, 1 = t + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n**2 - 176*n + 221. Give j(-41).\nAnswer: -968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7378175.2 and -0.2.\nAnswer: -1475635.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 11*l**2 + 500*l + 6404. Give v(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6044*d**3*n**3 + 7*d**3*n**2 + 3*d**2*n**3 - 10299*d**2*n**2 - n**3 wrt n.\nAnswer: -36264*d**3 + 18*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16714 - -16714.0110436. Let d = -0.011 + g. What is d rounded to 6 dps?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*t = 14, -4*f + 3*t + 4 = 12. Put f, 6, 0 in descending order.\nAnswer: 6, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 2*a - 54. Let f be h(9). Solve -15*r = -f*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 34 = 3*r, -2*r = r - 6. Let n be i\/49 + 46\/14. Suppose -41 = -n*a + 64. 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: Let n be -3 + 0 - 6\/(-2). Suppose n*x - 2*x - 12 = 0. Let b be 6\/(-9)*27\/(-6). Sort b, 0, x in decreasing order.\nAnswer: b, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 - (-16 + (-4 - -6 - 2)) - (3 + -2)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -21*(6 + -11)\/15. Suppose -10 = -6*z + z. Suppose -t = -z - 0. Solve -5 = t*m - o*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9478 is divided by 1811.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1373*f**2 - 11. Let o(c) = -3*c. Give o(b(t)).\nAnswer: -4119*t**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 137.43 and 290870136.\nAnswer: 290870273.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30906 divided by 5151.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.49 - -9.51. Let p = 5 - h. Let y = 0.42 + p. Which is the biggest value? (a) y (b) 2\/19 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 1 (c) 1496.96 (d) -2\/11 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 50, 49, 28, -19, -98, -215, -376?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15939713 rounded to five decimal places?\nAnswer: -0.1594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*4\/9\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -119\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - 0.33. Let t = l - -0.1. Is t < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 5 + (-102)\/15. Which is the third smallest value? (a) 3 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 254167, 508347, 762527?\n\"Answer: 254180*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -101 (c) -0.3 (d) -2180\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10.61 * 8002\nAnswer: -84901.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, t: 2, d: 7}. What is prob of sequence dw?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 450 and 14100.\nAnswer: 42300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7763 + 11320. List the prime factors of l.\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**2 + 1 - 1)*(-13 - 7 - 1) to x*a + o + f*a**2 and give f.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 49913287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3898 + 3940. What is the lowest common multiple of 300 and m?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2\/5 - 16516*h - 7890816\/5 = 0. Calculate h.\nAnswer: -20549, -96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppyypyppdsdpspdpp. What is prob of sequence dd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Let w be ((-2)\/4)\/(o\/(-24)). Let u(c) = c**2 - 5*c + 5. What is u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23168\/33 + 702. Let y = 15\/28 + -1\/28. What is the closest to y in -0.4, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*b + 1001 + 696, 0 = 4*b + 3*j + 1693. Let m = b + 426. What is the remainder when 72 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -547\/7 + 78. Let b = -10 + 10. Let p = -1 + b. What is the nearest to -1 in h, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = f - 0*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + r - 2*r)*(-2 - 2 + 6)*(3*r - 7*r + 2*r) to the form w*r**2 + t + a*r and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 7. Suppose -2*c + 4*m + 11 = 1, 2*c + m - 5 = 0. Let f = 2 + c. Suppose -f*g - 1 - 14 = 0. Determine x(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/15*50\/4. Suppose -d*a + 1616 = -f, -a - 2*f + 30 = -302. Calculate the greatest common divisor of a and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24a843 (base 15) in base 8?\nAnswer: 6547277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -46576, 2 in decreasing order.\nAnswer: 2, -3, -46576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8632668 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 + 1 = 0. Let r = u - 1. Let p(t) = -t**2 - 2*t + 1. What is p(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -343146\/8161 greater than -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 + h + 1. Suppose 3*r - 3*c + 29 = 125, 0 = -5*r + 2*c + 169. What is the remainder when r is divided by n(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 359, 5\/14, 12, -3?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1 + (-5 + 5 - 5)*(3 - 6 + 4))*(-60 + 94 + 33)*(4 - 4 - 2*l) to i*l + k and give i.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 9. Let d(j) = -j**2 + 11*j - 11. Let c be d(9). Let q be x(c). Solve 0 = 3*g + 14 - q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 391037*x**3 - 77*x**2 + 1934*x wrt x?\nAnswer: 2346222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 8 (c) 0.24 (d) -1.4 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*z**5 - 31*z**5 + 3*z**2 + 6*z**5 wrt z.\nAnswer: -2520*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gftqi. Give prob of picking 1 q, 1 g, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2248 + 2264. What is the smallest common multiple of 744 and b?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32406 (base 7) to base 2\nAnswer: 1111110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/7))**(-3\/31) assuming s is positive.\nAnswer: s**(-15\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15890407 take away -0.048?\nAnswer: -15890406.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2967192, 3\/7, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4 + 20*o**3 - 19*o**2 - 38*o + 40 = 0. Calculate o.\nAnswer: -4\/3, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**2 - 3*z - 6. Suppose 0 = -4*r - 8 - 12. Is y(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 24 = -l + m, 60 = 2*l + 5*m. What is the lowest common multiple of l and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 14. Calculate the remainder when b(7) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2058, -4132, -6208, -8286, -10366?\nAnswer: -12448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/9 + 2200*n\/9 - 244.\nAnswer: -4*(n - 549)*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.0132574 times 0.1\nAnswer: 0.00132574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqm when three letters picked without replacement from {m: 2, q: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1107781.917 rounded to the nearest 1000?\nAnswer: -1108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/63 + 18\/(-63). Let n = 0.18 - -0.32. Which is the closest to 1\/4? (a) -8 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 5. Let q be (3 - (-35)\/(-1))\/(-2). Suppose 6*i = -2 - q. Calculate l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985 is divided by 978.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*u + 13 + 16, u = 2. Let j = m + 5. Suppose 5*b = 3*p - 3 - 4, -4*p - 4*b + 52 = j. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.87887 + -0.12113. Let b be -10 - -6*1\/2. Which is smaller: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 - 886*j - 16865. Determine w(-19).\nAnswer: -1475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 10:05 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1022 - 1034.72. Round a to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/2*(-6)\/(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/48 and 22\/907.\nAnswer: 43536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 14*w. Let s(o) = 5*o. Let d(v) = 2*j(v) - 7*s(v). Let f(a) be the second derivative of 7*a**4\/6 - 4*a + 16. Give d(f(t)).\nAnswer: -98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.085 - -71.085. Let p = y + -76. What is the second biggest value in -0.34, p, 3?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(3\/(-57) + 0). Let j(l) = 10 - 14*l**2 + l**3 + 22*l**2 + 9*l + 4 - 5. Let x be j(-7). Which is the nearest to 1\/3? (a) f (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*l**2*r + 4*c*l**2 + 11*c*l*r + 84*c*l + 3*c - 47*l**2*r + 1631*l**2 + 27*l*r - l + 1 wrt l.\nAnswer: -2*c*r + 8*c - 94*r + 3262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -15841?\nAnswer: 15840.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -108 - 120*a - 4*a**2 + 20*a**2 - 4*a**2 - 16*a**2 + 8*a = 0. What is a?\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*a + 34 = 0, -1461348*v + a + 153 = -1461339*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 700221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -0.3 (b) -66 (c) -670\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-1 + 12)) + 7 - (-356)\/(-348)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/m)**(1\/9))**(-50)*((((m*m**(6\/11)*m)\/m)\/m)\/(m*m**(2\/17)))\/(m**8\/(m\/m**(1\/2))) assuming m is positive.\nAnswer: m**(-64571\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -112711 divided by 4?\nAnswer: -112711\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 151 = -0*y - 5*y, w = -4*y + 77. Let n = -20 - -54. Let i = -15 + n. What is the remainder when w is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 2*g - 50*g + 17*g - 131*g)*(2*g + 4*g - 5*g).\nAnswer: -162*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/45)\/(1\/3))\/(2054\/1185*3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 212475594 a multiple of 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**3 + 95*q**2 + 440*q - 6. Determine g(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8160 by -1632.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 165. Suppose 21*i - 18*i - x = 0. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -776, -1471, -2078, -2591, -3004?\n\"Answer: i**3 + 38*i**2 - 816*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - 9.97. Let a = -12 - p. Put -0.5, a, -1\/4 in descending order.\nAnswer: -1\/4, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1573)*-2.\nAnswer: -22*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/18 - 1111\/(-99). Suppose x + 0 = 3. Suppose 0*r - 5*i - 2 = 3*r, -3*i - 14 = 5*r. Put x, z, r in decreasing order.\nAnswer: z, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 8) to base 2\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48 - 9*t**3 - 48 + (-t**2 - 2*t**2 + t**2)*(-3*t + 0*t + t) - 4 + 4 - t**3 - 3*t**3 - 6*t - 221*t**2 + 441*t**2 - 221*t**2.\nAnswer: -9*t**3 - t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32628661 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 87*x - 84*x - 60, -4*b - x = -30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 1 + 3 + -2. Let i(t) = -4 + 1 + t - 1 + 6. Calculate i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452 = -22*d - 29*d - 619 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + d**2 + 2*d - 1)*(d + 1093 - 2155 + 1091).\nAnswer: d**3 + 31*d**2 + 58*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/8*10*(-100)\/625.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2 = 14. Let s = 0 + h. Let f(a) = 7*a**2 + 11*a + 1. Let g(d) = -4*d**2 - 5*d. Let k(p) = -3*f(p) - 5*g(p). What is k(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2 + 2)*(2*x - 2*x + x**3 + x).\nAnswer: 2*x**4 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*y**2 + 9*y**3 - 11*y**3 + 21*y - 61*y**2 + (3*y**2 + y**2 - 2*y**2)*(2 - 2 + 3*y) as a + i*y**3 + b*y**2 + f*y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.4, -3\/4, -0.1, 0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 32800 divided by -1640\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178111463 to the nearest integer?\nAnswer: 13346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14584811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - p - 3)*(-9 + 9 - 14*p).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, c: 2, x: 6}. What is prob of picking 2 n and 1 c?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**5\/4 + 2*i**3\/3 - i**2 - 5*i. Let h(r) = -4*r**3 + 3*r - 2. What is 5*c(t) - 6*h(t)?\nAnswer: -t**3 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n - n**2 + (22 - 50 + 25 + 20*n)*(n - 2*n + 0*n).\nAnswer: -21*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/(-10*1). Let p = -235.39 - -235.79. Which is the closest to 1? (a) -1 (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cd6 + 50db?\nAnswer: 5dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1288826 to 4 dps.\nAnswer: -0.1289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.89 + 5.1. Let k = a + -0.02. Let f = k + 0.11. Is f <= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -913, -102, 0 in decreasing order.\nAnswer: 0, -102, -913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -257 in 0.4, 36, 0, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 466*q - 805*q + 1356 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 15 = p. Let k(x) = 10*x**3 - 7. Let o(y) = -y**2 + y - 1. Let g(w) = k(w) - 2*o(w). Is g(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -59696, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 354, 2\/5, -3182 in increasing order.\nAnswer: -3182, 2\/5, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8592 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -313, -5 in decreasing order.\nAnswer: -1, -5, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9\/5)\/c**(-8)*c**(-3\/8)*c**9 assuming c is positive.\nAnswer: c**(593\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m = 0. Let n = m + 5. What is the common denominator of ((-375)\/(-22))\/n + -2 and -73\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*c + 5 + 12 = 0, -f - 5*c - 21 = 0. Let m be (0 + f)*(-280)\/7. Suppose -u - m = -6*u. Calculate the smallest common multiple of 3 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 236 = 2*p + 278, 3*p = 5*b + 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 19. Give b(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z + 72 = 19*z. Let c be (-39)\/z + 2 - 11\/66. Solve -4*y - 8 = -0*g - c*g, -y + 5*g = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 10612198 + 10612198.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*c - 549 = 2843 + 1207 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - x**2 - 1. Let k(j) = -2 - 7*j**3 + j**2 - 2*j**2 - 2*j**2 + 2*j - 2*j**2. Let l(p) = -k(p) + 4*n(p). Is l(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/226446 and -30\/803.\nAnswer: 226446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 18*r - 24. Suppose -2*g + 5*m = 3*g - 285, -m + 273 = 5*g. Suppose -6*u - g = 59. Let b be a(u). Which is greater: b or -7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -237 (c) 929\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6*y + 9 + 8*y**2 + 0*y**2 + 0*y**2.\nAnswer: 8*y**2 - 6*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2 - (-21)\/9). Factor 3*t**2 - c*t**3 + 4 + 0 - 4.\nAnswer: -3*t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 13*f + 24. Let v be w(11). Suppose 0 = 4*h - 341 - 95. Suppose y = v - h. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176063 is divided by 162?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - ((-108)\/16 + 4))\/((-19)\/380)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5747\/35 - (-4)\/5. Suppose -6*z = -x - 9. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5f549f (base 16) in base 6?\nAnswer: -341523555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 9*b**2 + 26*b - 23. Is 16 a factor of t(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23410*u**3 + 7589*u**2 - 171855441*u?\nAnswer: 140460*u + 15178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*5\/(25\/5). Let z(g) = 22*g - 26*g + i + 5. What is the remainder when 4 is divided by z(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1902 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 3629978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2)*((-169)\/(-52))\/(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4064.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 15*q - 3. Let t be p(-16). Solve -t - 5 = -4*j - 2*d, 3*j = 5*d + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 10000011101010?\nAnswer: -10000011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 529 + -18905\/36. Let m be (-4)\/78778*(-56330581)\/(-564). Let f = m + -2\/16881. Find the common denominator of f and p.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 886063266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6378)\/(-8504))\/((315\/(-20))\/7*(-2)\/(-474)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1572*u**2 + 2 - 2000*u**2 - 6442*u**2 in the form p*u + r + j*u**2 and give j.\nAnswer: -10014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**2 - 5. Let f(n) = -54*n. What is f(b(q))?\nAnswer: -270*q**2 + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 115*m + 4598. Calculate a(-40).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74107748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 881 - 500. Let w = j + -380.99505. Round w to 4 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -3. Let w = -1160\/7 - -166. Which is the second biggest value? (a) w (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 463, -4, 1, -1, 4, -6 in descending order.\nAnswer: 463, 4, 1, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-114)\/(-15))\/(2\/(-10)). Let x = s + 29. Let o be (6\/15)\/(x\/(-360)). What is the highest common factor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378269?\nAnswer: 3, 51047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**(-2\/5))*r*r)\/(r*r**(-1\/5)))\/(r\/((r*r*r**(1\/4)\/r*r*r)\/r*r)*r*r*r*r*r**(-1\/8)*r))**(1\/20) assuming r is positive.\nAnswer: r**(-73\/800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(175) - 5*2*sqrt(175)) + -4 - -2*(sqrt(175) - (0 + -3 + sqrt(175))**2)) + -5.\nAnswer: -374 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ec580 + 172?\nAnswer: ec702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 2\/3, 14, -18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + o. Let r(v) = v**2 + v. Let a(z) = g(z) - r(z). Let m(w) = -40*w**2. What is a(m(q))?\nAnswer: -3200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80154 is divided by 10017.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99975.24 milligrams to nanograms.\nAnswer: 99975240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 207?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -23111*g + 1. Let k be s(-9). What is k rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s. Let u(t) = t. Let r(f) = -f. Let q(h) = 3*r(h) + 2*u(h). What is q(w(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -57. Let x be ((-12)\/5)\/(13\/(-65)). Suppose -a + 2*p = -x, -4*a + 8*a = 2*p + 36. Calculate the remainder when b is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4553173 a multiple of 1292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 - 97. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 40377 and -217936624.8.\nAnswer: -217896247.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 29.6\nAnswer: 118.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3\/3 + 16*v**2\/3 + 6*v - 12 = 0.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -100202?\nAnswer: -100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1104.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 155*q + 35. Let f(x) = -x**2 - 73*x - 17. Let k(s) = -15*f(s) - 7*m(s). Suppose -n - 3 - 4 = 0. Determine k(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210346 is divided by 4413?\nAnswer: 2935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, 12, -117, -169, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 17*x**2 + 14*x + 32. Let p be u(16). Solve -3*a - 23 = -p*t - 2*t, -10 = -5*t - 2*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3 + 3466*j**2 + 14130*j - 406458 = 0. Calculate j.\nAnswer: -13, 9, 1737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/840 and 61\/392.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*c + 11. Suppose 2*u - 4 - 3 = -i, -c*u - 3 = -3*i. Suppose -u*n = -8, -l - 4*n + 56 = 4*l. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 - 3*u**2 + u**2 - u**3 + 41*u - 95*u to d*u**3 + a*u**2 + k*u + g and give k.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 543122447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 828381 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7465, 59607, 201255, 477163, 932085, 1610775?\n\"Answer: 7459*r**3 - r**2 - 68*r + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15721, -15779, -15811, -15805, -15749, -15631, -15439, -15161?\nAnswer: -14785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028377915 rounded to three decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1083, 1159, 1365, 1767, 2431, 3423, 4809?\n\"Answer: 11*j**3 - j**2 + 2*j + 1071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1\/36765 (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 - -6)\/(3 - 32\/12). Calculate the greatest common divisor of u and 648.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 1\/5 (c) 0.7 (d) -1 (e) -2\/3 (f) -4416 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u + 3*u)*(-3 + 2 + 2) - 2*u + 3*u + 0*u + 3 - 3 + 2*u - 3*u - 2*u + 4*u + u + 0*u - 3*u - 720*u + 497*u + 771*u.\nAnswer: 550*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2\/4 + 276893*a - 76669733449 = 0. What is a?\nAnswer: 553786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5428*p**2 + 8483*p**2 + 345*p - 3054*p**2 - 345*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 10:06 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 5\/18 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 484*j**2 - 1276*j + 841 = 0.\nAnswer: 29\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 16) in base 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1167 + -3551.7633. Let n = -3603.880019 - i. Let f = n - -51. Round f to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/190 or -1?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -157 + 241. What is the derivative of -46*t**2 - x + 195 - 208 - 147 - 6*t + 4*t wrt t?\nAnswer: -92*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 163*k - 164*k, 3*k - 206 = -s. Solve -s - 115 = -53*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-52 - -39) - (-7)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11485 in -2\/5, 0.1, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 s, and 1 h when four letters picked without replacement from hhsqqqqqhqqs?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1302 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 1101*l**2 - l + 1095*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 l when three letters picked without replacement from {l: 1, r: 3, j: 11, m: 3, w: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-23 - -12) + -169*1. Which is bigger: -188 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1321230134 (base 5) to base 7\nAnswer: 40043461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 282085063?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2638.87364054 and -5.\nAnswer: -2643.87364054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6 + 0*u**2 + 5*u**2 - 5 - 2. Let x(y) = 50*y**2 - 258. Let l(f) = 4*a(f) - x(f). Differentiate l(j) with respect to j.\nAnswer: -60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 - 321 - 324 + 973 + 8*m**3 - 315 + 8*m**3.\nAnswer: 13*m**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 8:52 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 14*p**2 - 20*p + 79. Is 24 a factor of c(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(99) + sqrt(11) + 0 - (sqrt(539) + 0))*-6)**2 - ((2*sqrt(176) + -3)**2*-4 + 2).\nAnswer: -192*sqrt(11) + 6409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239975.\nAnswer: 5, 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s + 0 - 1\/2*s**2 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(-6*sqrt(12)\/sqrt(2)))\/((sqrt(1728)*3)\/sqrt(9)).\nAnswer: -sqrt(7)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 1\/3*a**3 - 3\/2*a**2 + 2*a + 0. What is x(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/3)*y*y)**(-1\/23)\/((y**(-1\/11)*y)\/(y*y**(-2\/9)\/y*y)) assuming y is positive.\nAnswer: y**(-530\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-9)*u)\/u*u**0)**(-21) assuming u is positive.\nAnswer: u**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233245 (base 6) in base 9?\nAnswer: 111622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + -0.2. Let m = 1 - 6. Let k = 2 + m. Sort -1\/4, k, o in increasing order.\nAnswer: k, o, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4341924 and 524128.\nAnswer: 5956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 1:47 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g + 220*g**3 - 40*g**3 + 2 + 11*g.\nAnswer: 180*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1780 - 1180. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/955910 and -74\/590415?\nAnswer: 20074110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 67*a - 8. Let k be w(-1). Let u be (120\/50)\/(2\/k). Let h = u + 327. List the prime factors of h.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144942174 divided by -169\nAnswer: 857646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 39*v + 370. What is the units digit of c(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yss when three letters picked without replacement from yssyssssnsysysssnsys.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 447988 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18024 is divided by 18021.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 3. Let o be u(7). Let f = o + 1. Suppose -110 = -f*q - 10. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661914312.\nAnswer: 2, 3, 17, 37, 163, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -46 + 0 + 5 + -1 - 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o + 62. List the prime factors of t(-8).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-20) + 46\/20?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 25*o**7\/63 - 169*o**6\/36 - 1499*o**5\/120 - 259*o**4\/36 + 19*o**3\/9 + 10*o**2\/3 + 663*o. Solve v(j) = 0.\nAnswer: -1, -2\/5, 1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.716 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707.3282nm to kilometers.\nAnswer: 0.0000000007073282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 144*k**2 - 48*k**2 - 134787*k + 134785*k + 11*k**3 + 2 in the form x*k + p*k**2 + t*k**3 + s and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 573 - 577 = 0. Is t at least -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*1)\/((-26)\/78). What is m in 320*m**2 + 52*m + 115*m + 72 + 100*m**f + 109*m = 0?\nAnswer: -2, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026387546 divided by 591919?\nAnswer: -1734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1632 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**6\/360 - y**5\/24 + y**4\/4 + y**3\/6 - 47*y**2\/2 - 39*y. Let r(v) be the second derivative of u(v). Give r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 27*w - 60.\nAnswer: -3*(w - 5)*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 2, 3, -10, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 3 + 2 + 2*u + 62*u - 227*u - 97*u + (2 - 4 + 0)*(u - 2*u + 0*u).\nAnswer: -258*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-235)\/(-5264)*-8*3\/15*16?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 11*i. Suppose r = -i*r + 63. Is 21 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 3\/2 (c) -1 (d) -1\/3 (e) -2646\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + l - 4*l + 7*l - 2*l. Let o(u) be the first derivative of 13*u**2\/2 + 1. What is o(j(m))?\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -117384 greater than -117401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*n = -154*n - 155*n + 14 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(-43))\/k))\/(k*k\/(k\/(k*k**(-5\/3)*k*k*k)*k*k))*k**(-2\/35)*k**(1\/26)\/k assuming k is positive.\nAnswer: k**(-121081\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 9600*z - 8 = -9596*z, -6 = 2*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(44)*3)\/(-1*sqrt(4)*6) + 0.\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - d**2 + 0)*(6*d + 4*d + 2 - 6*d) as f*d**2 + m + b*d**3 + x*d and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 280\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5117, 20459, 46029, 81827, 127853, 184107, 250589?\n\"Answer: 5114*w**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165273 is divided by 163.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t + 9*t + 42. Sort t, -16, -3, 2 in decreasing order.\nAnswer: t, 2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54207 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (49809\/6)\/(-15 - (-465)\/30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 9:54 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -9*j - 81, 22*f - 23*f + j = -13. What is the biggest value in 6, -0.5, 7, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1530 = -d. Suppose 3*k = 2*k + d. What is k rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 9. Suppose -f = -s - 4, f = 3*s + 10 - w. What is the lowest common multiple of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45030?\nAnswer: 2, 3, 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133 and 236949.\nAnswer: 1658643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3 - 13*m**2 + 20*m - 88*m**2 - 39*m - 77*m**2 - 21*m wrt m.\nAnswer: -6*m - 356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241603365 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846.8727 millennia to decades.\nAnswer: 84687.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*b + 5*s, b = 3*s - 0*s + 15. Suppose b = 2*g + 3*g - 240. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-1))\/((-3)\/28)*689\/1378?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 5*s - 1. Let m be q(6). Let y = 0.2 + -0.1. Let f = 0.5 - y. Which is the third biggest value? (a) f (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23508c (base 16) to base 6.\nAnswer: -121334420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.439 * -2.\nAnswer: 96.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 102. Let x = 213\/5 - o. What is the smallest value in 1\/7, 0, x, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -63, -86, -127, -198, -311, -478, -711, -1022?\n\"Answer: -2*d**3 + 3*d**2 - 18*d - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c + 11. Let n(p) = p**2 + 6*p - 4. Let t be n(-6). Let d be q(t). Let s = -150 + 154. What is the smallest value in 3, 0.5, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 8) to base 3.\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 + 2) - (-6 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 4*j - 1. Let p be f(2). Let n = -0.43 - 0.07. Which is the third smallest value? (a) p (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -12000?\nAnswer: -11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 397035 and 116948?\nAnswer: 268395660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 37*k**2 + 410*k - 181. Let b be l(-46). What is h in 2*h**2 + h + 0 + 5\/4*h**b + 1\/4*h**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17315650.1418672 take away -0.4?\nAnswer: -17315649.7418672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f + 24 + 5*f - 5 - 16*f**2. Let o(h) = 16*h**2 + 5*h - 19. Let a(b) = -5*j(b) - 4*o(b). Differentiate a(q) with respect to q.\nAnswer: 32*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = r + 11 + 4, -4*n - 5 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 310.87262 + -311.19. What is s rounded to 3 decimal places?\nAnswer: -0.317","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1311 in -1, 9, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -79*h + 79. Let o be g(1). Suppose 4*a - 31 - 209 = o. Calculate the lowest common multiple of 228 and a.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*w + 6, 2*w - 5*w = -5*k + 14. Factor w*p**3 - 5*p**2 + 19*p - p - 10*p**2 + 3*p**2.\nAnswer: 2*p*(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2545 + 3327 + 2*q - 8935 + 3063.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*d + 2*g, 5*g - 33 = -5*d - 8. Let l(t) = 2*t**2 - t + 1. List the prime factors of l(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -8402, 1\/2, -4\/7 in increasing order.\nAnswer: -8402, -6, -4\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 3. Let o be z*(0 - (-12)\/16). Suppose 5*x - 10 = o*x. Solve f + x = -0*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111913 + 198*c + 111913 - c - 4*c + 7*c + (-c + 4*c - 4*c)*(2 + 5 - 6) + c + 3*c - 2*c to m + x*c and give x.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.229 - -0.019. Let u = q - -0.052. Which is the nearest to u? (a) 1\/3 (b) 2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 0)*12\/(-24). Let b(r) = 1 + n - 8*r + 3*r. Let w(q) = 4*q - 1. Suppose 3*f - 3 = -2*j - 25, -4*j - 24 = f. Give f*w(m) - 3*b(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 8. Solve 2*f + t + 0 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-318)\/(-1696)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**1 assuming t is positive.\nAnswer: 1\/sqrt(t)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - -11. Let w = -78 + j. Let p = -31.00000082 - w. Round p to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3364*j**3*m**2*n**3 - 27*j**3*m*n**2 + j**2*m**2*n**2 - j**2*m**2*n + 6*m**2*n**2 wrt n?\nAnswer: -20184*j**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1739406035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3681 = 11*u - 2*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000001111111001 + -10?\nAnswer: 1100000001111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406413670.\nAnswer: 2, 5, 13, 1511, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, 8, -11, 34 in decreasing order.\nAnswer: 114, 34, 8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 5*i = 755, 3*s + 70*i - 282 = 68*i. Solve -11*z - s = 14*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112409526, 224819052, 337228578, 449638104, 562047630, 674457156?\nAnswer: 786866682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-88)\/(-33) + (-2)\/(-6). Suppose 0 = 2*s - s. Solve m*z + s*z + 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbz when three letters picked without replacement from {b: 5, z: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.5899ug in milligrams?\nAnswer: 0.2535899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22723291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 7:17 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 14598 = 3*z, s - 7157 = z - 2295. Let g = -2038 - z. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 60536.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 6*u. Let b(q) = q**3 - q**2 + 36. Let m be b(u). Let l = m + -24. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -155067 smaller than -155070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -121*k**2. Let v(f) = 95 - 47 - 48 - 23*f. Determine v(w(h)).\nAnswer: 2783*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 34 - 102 + 68 + n. Let r(q) = -2*q**2 + 832. Give t(r(d)).\nAnswer: -2*d**2 + 832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 10*z - 30506. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -104*w + 101. What is q(0)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.52 + -31. Let m = z - 0.12. Let d = 0.324 + -0.224. Which is the third biggest value? (a) m (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6320 * -0.2\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**3 + 2*v**2 - 2*v + 2. Let w(j) = 8*j**3 + 5*j**2 - 5*j + 5. Suppose 0 = 5*q - 2*l + 6 + 10, 4*l - 12 = 0. Calculate q*w(b) + 5*h(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003327938 rounded to 4 dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**4 - 165110*g**3 - 660385*g**2 - 825460*g - 330180 = 0. What is g?\nAnswer: -33018, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 4097?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 33*456\/399*(-609)\/(-232)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -4*(sqrt(252)*-2 + sqrt(252) - sqrt(252)) - 5*((sqrt(252) - sqrt(252)*2) + sqrt(252))*-1)*-5*-5)**2.\nAnswer: 10080000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/(120\/(-69300)*21).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -42 and 22322?\nAnswer: 22364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -18*r + 13*r. Calculate the remainder when r is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -9 - -8) + 8?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s**2 + 0*s**2 - 2 - s**2 + s - 34 + 75*s**2 + 34 + 10*s - 2*s**2 - 10*s + (0*s - 3*s + s)*(-5*s + 4*s + 3*s) + 2*s**2 - s**2 + s**2.\nAnswer: 77*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*m = 5 + 4, 3*m = -d + 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 591300 and 149580.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3229 is divided by 59?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 15 = -15. Let g = -3 + l. Suppose 0 = -g*s + s + 134. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 3\/373 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**4 - 4*n**4 - 3*n**4)*(-2 + 2 + 2) + ((-2 + 2 - n)*(-3*n + 2*n + 2*n) + 120*n**2 + 55*n**2 + 0*n**2)*(n**2 + 0*n**2 + 2*n**2).\nAnswer: 516*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, y: 3}. What is prob of sequence hyh?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-11))\/((k*k**(-23\/3))\/k) assuming k is positive.\nAnswer: k**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5792034?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a9 - -75?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(164\/(-52) - -3). Let a(o) = 9*o + 10. Is a(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 25, 49, 83, 127, 181, 245?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 156 = 2*n - 30, 5*n - 438 = -2*f. What is the remainder when 987 is divided by n?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.602 to 1 dp.\nAnswer: -25.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmwmmmmmmw. Give prob of sequence mm.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(2*36\/(-120))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 4*n - 22. Let f(q) = -3*q + 12. Calculate 5*f(b) + 3*h(b).\nAnswer: 3*b**2 - 3*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*n + 28, 5*k - 5*n = 2*k + 25. Let t = 14 - k. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.42*-113.\nAnswer: 3889.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 783*b**5 - 1158*b**2 wrt b.\nAnswer: 46980*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 20 - (10 - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.9, -22, 3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, 6, 24, -2, -9, -4, -1 in decreasing order.\nAnswer: 191, 24, 6, -1, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 - -38509?\nAnswer: 38509.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**6\/10 - 93*p**5\/20 + 159*p**4\/4 - 225*p**3\/2 + 1136*p. Factor c(o).\nAnswer: 3*o*(o - 25)*(o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 14) to base 13.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from xxrxrxrkxxxrxxrxx?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**2\/2 - 713073*n\/2 = 0.\nAnswer: -237691, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 15. Let a = 1.938 + 0.062. Let x be (-2)\/(-1) + (-24)\/10. What is the nearest to x in -0.5, t, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**5)**38 assuming h is positive.\nAnswer: h**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350, 2004, 6418, 14972, 29046, 50020, 79274?\nAnswer: 118188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*a + 4*h, -35 = -2*a + 5*a - 4*h. Suppose 0 = -5*k + 2*k. Suppose 3*c + 5*r + 13 = k, 3*c - 25 = 3*r + 2. Put c, 1, a in increasing order.\nAnswer: a, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 32. Let d = p + 13.2. Which is the closest to d? (a) -1 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b - 478 = 162*b + 46*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*a**2 + a - a - 19*a**2 to j*a**2 + d + h*a and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*r - 2)*(-5 - 1 + 5) + 2*r + r - 4*r + (0 + 4 - 3)*(-5*r + 3*r - 3*r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*h + 51 - 155 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1440)\/(-176) + 4*2\/(-44). Solve -m = d + 5, d + 3*m - h = -21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 3:06 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 - 2*c + 2*c + 10*c**2 - 8*c**2 in the form p*c**3 + h + y*c + v*c**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 543064.4 microseconds in nanoseconds?\nAnswer: 543064400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -324443\/177 - -1833. Is 1 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-72)\/(-10))\/(7\/385). Let v be q\/(-54) + (1 - -3). Let x = -1 + -1. Which is smaller: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/(-247) + 432\/912.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -941 + 1377. Suppose j = -27*r + 31*r. Let o = r - 45. Does 30 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-38)\/19)\/((-10)\/(-15)))\/(28\/(-4)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191061 divided by -39.\nAnswer: -4899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/(-50))\/(1057\/1510)*7\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 735*k**2\/2 + 26*k + 15. Let s be w(18). Let m = 450779\/34 - s. Calculate the common denominator of -31\/18 and m.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 111, 288, 609, 1116, 1851, 2856?\nAnswer: 4173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 24 + 18 = 0. Let l = 13 + m. Solve -5*f - 5 = -5*k, 0*k = k + 4*f - l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 349*h**2 - 29*h - 10. Let z be l(-14). What is z rounded to the nearest one thousand?\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29616*b*k + 12*k + 977 wrt b.\nAnswer: 29616*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 26*f - 160. Let g be c(13). Suppose -5*t + 268 = g. Calculate the remainder when 190 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 6*m. Let h be b(-5). Suppose -17 = -h*t - 7. Factor -4\/3*o - 2\/3*o**3 + 2*o**t + 0.\nAnswer: -2*o*(o - 2)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w + 1. Let a be j(1). Suppose z + a = -0. Let g(h) = -h**3 - 5*h**2 + 5*h + 4. List the prime factors of g(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -5 (b) -2\/15 (c) -15 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -107074.085\nAnswer: -3212.22255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16054 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/7, -4.45, -1\/2, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from memcmbbebmmme. What is prob of sequence mc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 + 103.64. Let u = r + 0.36. Let o = -5.97 - -6. Which is the closest to o? (a) u (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9) - 5\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (1 - -5 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.82 + -5321.66\nAnswer: -5322.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7525149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2578, -19, 0.1, -0.03, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3627, -3698, -3767, -3834?\n\"Answer: m**2 - 74*m - 3554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evv when three letters picked without replacement from xexddddxvxxvdxvvvdvd?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + (-91)\/(-28))\/(4\/432*-3). Calculate the greatest common divisor of i and 1575.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*u, 2*x = 6*u - u - 13. What are the prime factors of 756 - 24\/3 - (2 - x)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/((7 - -7)\/(-7)). Solve -4*w + 5 = 5*s + 10, 2*s + l = -5*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33406914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107865768?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12*s**2 + 6*s + 7. Let k(a) = -25*a**2 - 11*a - 14. Give 11*d(z) + 6*k(z).\nAnswer: -18*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27a7 (base 14) in base 16?\nAnswer: 1b5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 48 - 12. Suppose 0 = -u*p + 15, -d + 6*d - 4*p = 2068. Calculate the greatest common divisor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((3 + sqrt(1900) + -1 + sqrt(1900))*1 + 2))**2.\nAnswer: 160*sqrt(19) + 7616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 627, 1118, 1611, 2106, 2603, 3102?\nAnswer: 3603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, v: 1, g: 11, o: 2}. What is prob of picking 1 w and 1 v?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -11581?\nAnswer: -11581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-238)\/42)\/(-1*(-2)\/(-12)). Let f be (30 - s)\/((-2)\/6). Round f to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*a - 150, -3*a + 4*a = 3*u - 82. Calculate the remainder when 279 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15.61170162 and -131?\nAnswer: 146.61170162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -609*p. Let i(s) = 23*s + 1. Give y(i(m)).\nAnswer: -14007*m - 609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 30 - 15. Suppose 3*p + 8 = p, 5*p + 20 = -a*v. Solve -4*b + 3*b + 5*t - 8 = v, -4*b = 3*t - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(76))\/(4*(sqrt(28)\/sqrt(7) + sqrt(4))).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005011137 rounded to 4 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393 + (-66)\/15 + 8\/20?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190911.78 microseconds to hours.\nAnswer: 0.00005303105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 80572.506 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49496008 and 4053.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a76 (base 13) in base 11?\nAnswer: 6327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2 + 412*s - 14946 = 0. What is s?\nAnswer: 47, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11394*g - 1766263 = -638257 for g.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*s, -s - 569 = -4*p + 23. Let m = p - -85. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1147695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1955 divided by -46\nAnswer: 85\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 1:27 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-620)\/935 - (648\/(-99) + (-3 - -9)). Which is the nearest to y? (a) -0.3 (b) -0.4 (c) 2 (d) 2\/91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -3*u - 1, -4*v - 21 = 3*u - 7*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5065601341?\nAnswer: 89, 56916869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -52*q + 681. Let r be x(13). Solve r*f - h - 24 = 0, 0 = -5*f - 5*h - 5 + 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 9:14 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 + 42 = -41*m - 284. Sort m, 82, 4 in descending order.\nAnswer: 82, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-1458)*1077\/(-718).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 7\/419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -132, -130, -128?\n\"Answer: 2*c - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -126, 24, -2, -3, -5 in decreasing order.\nAnswer: 24, 16, -2, -3, -5, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*z + 18 = 0, 3531*y - 3536*y - z = 21 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24117123 and 64312328?\nAnswer: 192936984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -14 + 32. Let p be 244800\/5040 - ((-8)\/(-14) + -1 + 1) - 9. Calculate the highest common divisor of q and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34202 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -6\/5 (c) 2\/19 (d) 3\/2 (e) -8 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-4) - ((-16366)\/(-1336) + -1 + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156) + sqrt(156))*-3)\/((sqrt(12) + sqrt(108))*-5) + -1 + 1.\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560 and 1805300?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/2250 and 19\/876.\nAnswer: 328500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012460176 rounded to seven dps?\nAnswer: 0.001246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32, -92, -202, -386, -668?\n\"Answer: -4*l**3 - l**2 - 29*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 7 = -8*f, 78*x - 77*x + 2*f = 1. Which is the second smallest value? (a) -14.6 (b) 1 (c) -9 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2138000 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 11*c**2 - 2*c + 5. Let o(a) = a**3 - a**2 + 1. Let d(h) = -g(h) - 2*o(h). Let m be d(-4). Calculate the greatest common divisor of 44 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11634 - -12228. What is the lowest common multiple of 378 and x?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588 = 5*d + 3*p, 3*p - 544 + 79 = 4*d. Let u = d + 121. What is the remainder when 14 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180896965?\nAnswer: 5, 79, 419, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21188.\nAnswer: 2, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from wrrrrrwrrr.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8848919 and 2.\nAnswer: 17697838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101580939*j**2 - 1302*j - 2659 wrt j.\nAnswer: -203161878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 295.2? (a) 6 (b) -1\/4 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3992 - 3995. Let k = 1 + -1.1. What is the smallest value in b, k, -3\/7, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*17\/3162)\/(4\/6)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2 = -2*u. Let i = u + 4. Solve -i*d - 5*v = 9 + 7, 5*d + 6 = 2*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 31. What is the remainder when -2 - (-24 - (4 + p)) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -24.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**2 + 506*u - 154. Let c be g(84). Solve -3*a + c*a = -11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -251, -360, -449, -512?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 3*(-8)\/6. Suppose -16 = -4*g + i*v, 4*g + 3*v - 37 = -0*v. Suppose 0*j = -5*j + 110. Solve 0 = 5*c - g + j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*w - 3 = 6, -11 = d + w. Let g be (-6)\/(-8)*(-8)\/d. Factor -k + g + 1\/2*k**2.\nAnswer: (k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -1\/7 (b) -2 (c) 0 (d) 1215 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*z**5 - 444*z**4 - 544*z**3 - 331*z**2 - 100*z - 12 = 0.\nAnswer: -3\/4, -2\/3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -825 = -3*q - 2*q. Suppose x = -4*x - s + 372, 5*s + q = 2*x. Suppose 10*t - x = 5*t. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.548136169 to 4 decimal places.\nAnswer: -0.5481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 8) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26.2 + -2.8. Let s = r + 30.4. Let y = 1.4000066 - s. What is y rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**5 - 2*b**3 + 3025*b**2 - 88839*b wrt b.\nAnswer: -40*b**3 - 12*b + 6050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**5 - a**5 + 0*a**5 + (2*a**5 - a**3 + a**3)*(-2 + 0 - 2))*(1 - 3 + 0).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 24 = 10*k. Let y(n) = -n**3 + n - 1. Let q(j) = -4*j**3 + 2*j - 4. Calculate k*y(r) + q(r).\nAnswer: -2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*r + 7*r + 22 = 0, 16 = -10287*m + 10305*m + 17*r - 12*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6627.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 380 + 1068. What is the greatest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -11100100010011010010?\nAnswer: -11100100010011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -1 + (-172)\/9890*1127.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.057 and -10450895.\nAnswer: -10450894.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 29\/3, -1, 3\/4 in decreasing order.\nAnswer: 29\/3, 3\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = y - 3, -21*n - 13 = -16*n - 2*y. Which is the third smallest value? (a) -112 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -145, -274, -439?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 - -113. Let v(x) = -10*x - 9. List the prime factors of v(c).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -418643, -418606, -418545, -418460, -418351, -418218, -418061?\n\"Answer: 12*b**2 + b - 418656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487*w**3 - 3 + 1786*w**3 + 3.\nAnswer: 1299*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**6\/75 - v**5\/50 - v**4\/10 + v**3\/15 + 2*v**2\/5 + 5*v. Factor y(o).\nAnswer: 2*(o - 2)*(o - 1)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 6. Suppose 0 = -o + 3*t + 2, -d*t + 4 = -0. Let i = -21 + 24. Solve -3*y - o = -f, 2*y + 3 = -i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 22*l + 51. Give p(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 646445 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 5:13 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/20 - 5*a**4\/12 + a**3\/3 - 5*a**2. Calculate the lowest common multiple of f(4) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -1368?\nAnswer: 5472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y\/y**(-8))\/y)*y*y**2\/y)\/((y**2\/y)\/y**1) assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77515 - -2?\nAnswer: -77513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -22 - 30 - (-1 + -5) - 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34500 or 27138?\nAnswer: 34500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -1)\/((-24)\/(-12)). Let p be (j + -3)\/(-4) - 30\/27. Which is the closest to 0.1? (a) -0.5 (b) p (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.089, 2, -1089\/8 in decreasing order.\nAnswer: 2, 1\/3, 0.089, -1089\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 10:02 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 2)\/(2\/(-4)). Suppose 5*i - 4*i = -2*g - 2, o*i - g - 19 = 0. Solve -z + 3*u + 17 = 0, 0*z - 3*z = i*u + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Let x = -2 - y. Let f = 0 - -0.2. What is the smallest value in f, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o = -5*z - 18, 0 = o - 1. Suppose 6*q - 4*q + h - 6 = 0, -2*q - 10 = 5*h. Let f = z + q. Is 2 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 13 = -11. Suppose -n + 46 = 2*p, -2*n + 7*p + 97 = 6*p. Calculate the greatest common divisor of c and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 66038*u + 33041*u + 33045*u - 1.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50955517*g**4 + 2*g**2 - 607032*g - 1.\nAnswer: -1222932408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9044752 litres in millilitres?\nAnswer: 904.4752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 6186 (b) 5 (c) -0.06 (d) -3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1027565*a**6 + 2*a**3 + 717601*a**2 - 12*a.\nAnswer: 123307800*a**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 278, 455, 712, 1055, 1490?\nAnswer: 2023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*p**3 + 228663*p**2 + 1089450558*p + 1361455935.\nAnswer: 3*(p + 9527)**2*(4*p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (3 - (44 + -10)) + 3?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 493*g + 3062*g + 4496*g in the form f*g + h and give f.\nAnswer: 8051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 78872798*c*x + 6*x - 807027 wrt c?\nAnswer: 78872798*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7514184 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/((-23)\/(253\/55))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.564 and -0.93?\nAnswer: 2.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8167?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 53502712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -1669.4.\nAnswer: -1669.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 11*z**4\/2 + 199*z - 202. Differentiate v(f) wrt f.\nAnswer: 66*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(8\/6)\/(-2). Which is the second biggest value? (a) n (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)\/x**(-5))\/(x*x*x\/x**4*x*x\/(x\/(x**(-3\/8)\/x))))\/((x\/(x**(-3\/5)\/x)*x\/x**4)\/(x**0*x)**7) assuming x is positive.\nAnswer: x**(1573\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95049.76l?\nAnswer: 95049760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 147 = 2*r - 5*v, 5*v = -2*r + 123. Suppose 26*i + r = 3*i. Which is bigger: -2\/21 or i?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9108.4 to the nearest one hundred.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -v - o, 3*v - 2*o - 9 = 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*z + 3*t, -2 = -2*z - 4*t + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 - 4*n**3 + 20*n**3.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3582, -6920, -10258?\nAnswer: -13596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(6)*1*-4) - (2 + sqrt(11) + 1 + sqrt(11) + -2*-1*sqrt(11)))**2 + 5.\nAnswer: 51*sqrt(11)\/2 + 3403\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -306.21 + 292. Let c = v + 14.20269. Round c to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8719*i**2 + 2378 + 0*i - 1187 - 3*i - 1188.\nAnswer: 8719*i**2 - 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*2*1\/(-1). Suppose 0 = 3*p + 9 + j. Let v = p + 12. Calculate the remainder when v is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56365408.429 and -89.\nAnswer: 56365319.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**2 - 232 + 117 + 3*x**2 + 115 - x. Let n(g) = g**3 + g**2 - 3*g. Calculate 4*b(r) - n(r).\nAnswer: -r**3 - 5*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13*o - 8. Let i(y) = -2*y**2 - 69*y - 101. Let l be i(-33). Let z(b) = -b - 1. Calculate l*p(w) + 18*z(w).\nAnswer: 8*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**1*n)\/n)*n)**12*(n\/(n**(-1\/8)*n)*n)\/((n*n**(-5\/4))\/n) assuming n is positive.\nAnswer: n**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64 or 937?\nAnswer: 937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**4\/4 - 5*r**3\/3 - r**2 - 4. Let m be t(-3). What is the units digit of m\/4 + 43 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-12))\/(6\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1284 - -1281. What is the biggest value in a, -8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.04 (b) -35 (c) -6\/137 (d) 3\/5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -118651 and -118650 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 20. Let m(v) = -v**2 - v + 16. What is the least common multiple of m(0) and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 + 0 = 0, 4*v + 5*d = 4. Suppose 6*k - 6 = -3*g + 3*k, 3*g = -2*k + 7. Calculate the smallest common multiple of g and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2705, -10826, -24361, -43310, -67673, -97450?\nAnswer: -132641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.97, 10\/13, -0.01, 0, 2\/19?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -730, -810, -880, -940, -990, -1030?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4\/15 - 4*l**3\/5 - 2*l**2\/15 + 4*l\/5 = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 22. Calculate the remainder when (-412)\/(-8) - s\/2 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 3. Let d = o + -28. What is the second biggest value in -2, d, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.742 + 4.781. Which is the biggest value? (a) 0 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + r + 2*r**2 + 2*r**2 - 2*r**2 + 2*r**2 + (3*r + r - 6*r)*(-r - 2*r + r) + 6820*r - 3421*r + r**2 - 3413*r + 1.\nAnswer: 9*r**2 - 14*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 77. Let u = q - -68. Let l be -2 - ((-78)\/63)\/((-2)\/u). Is l at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1562677 and 226?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xax when three letters picked without replacement from {x: 3, a: 12}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**2\/4 + 6177*i\/4 - 205491 = 0. What is i?\nAnswer: 143, 1916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 1. Let r be a(1). Let p = 1 + -2. Let q be (r\/4)\/(p\/4). Sort -1, 0, q.\nAnswer: q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {t: 2, n: 2, p: 1, b: 3, x: 4, c: 8}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = 4*l. Suppose -l*y = -43 - 1. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 4 (c) -0.3 (d) 393\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -22 + -8 + 0 + 9. Suppose 2*f - g = 46, 0 = -2*f + g + g + 48. What is the remainder when f is divided by (-133)\/l - ((-76)\/(-12) + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -404, -410, -420?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(324))\/(sqrt(96)\/sqrt(6))*-2.\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000000100 + -100?\nAnswer: 10001000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478, -468, -454, -436?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/((-32)\/(-192)). Suppose -4*q - 25022 = -5*n, -w*n = 5*q - 12881 + 2859. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18827 = 1762*f - 30509 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2133*l = -5788*l + 76755 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20, 60, 140, 272, 468?\n\"Answer: 2*j**3 + 8*j**2 + 2*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -109 + 63 + -135 + 125\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 660.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 829840 = 48*m + 34*m. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(-6)\/((-24)\/(-5)). Suppose r*v + 22 = 222. Calculate the highest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 178.1 and -4.608.\nAnswer: 173.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**2\/8 + 15075*r\/4 - 19001325\/8 = 0.\nAnswer: -10645, 595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3*z = -4 + 25, 6*f - 8*f - 73 - 101 - 74 = 28*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1958 and 18.\nAnswer: 17622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*y + 9*y + 45 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 4. Let i be w(-8). Let q be -2*(-4 + i + -2). Suppose -4*k + q*x = -16, -26 = -5*k + x + 14. What is the remainder when 35 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 18*w**2. Let k(g) = 4*g**2 + 17*g + 22*g - 36*g. Let o(b) = -3*b**2 - 2*b. Let l(c) = -2*k(c) - 3*o(c). Determine y(l(j)).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-2))\/n**(-2\/9))**(-2\/69) assuming n is positive.\nAnswer: n**(-4\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4\/q**(-8))\/((q*q**2)\/q)**(21\/2) assuming q is positive.\nAnswer: q**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213679524 and 19384?\nAnswer: 9692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1229*o + 6 - 5 + 10 - 11 as t*o + z and give t.\nAnswer: -1229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1. Let k(f) = 9*f - 3. Let q(i) = -k(i) + 5*l(i). Suppose 8*c = 3*c + 20. Let s(x) = -4*x + 3*x + 0*x - c*x - 1. Determine 6*q(m) - 11*s(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4*f**4 - 5)*(2*f - 3*f + 6*f).\nAnswer: -20*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221758 is divided by 1149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*i = -117*i - 30, -48*x + 3*i + 195 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7402.\nAnswer: 2, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 i when four letters picked without replacement from mmimiigmmii?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 34 = -11. Let z = i + 42. Calculate the highest common factor of 171 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.89 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 7. Let y be k(5). Let i(g) = -7*g - 4751*g**2 + 6*g + 4 - y. Let b be i(-2). Round b to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*g - 15*g + z - 16, 0 = -5*g + 11*z + 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/10)*j**(2\/3))\/((j\/j**(1\/5)*j)\/j)**(-48) assuming j is positive.\nAnswer: j**(1169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -217 (base 8) to base 16\nAnswer: -8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1301 - -1416. Calculate the greatest common factor of 69 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -0.4 (c) 18 (d) -5.5 (e) 1.521\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abom when four letters picked without replacement from soambmb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66808?\nAnswer: 2, 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 8*p - 1. Suppose 1 + 11 = 4*b. Suppose 2*i - 8 = -2*a, 4*a + b*i - 8 = 12. Let x be z(a). Is -6 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3531913, -3531916, -3531919, -3531922, -3531925, -3531928?\n\"Answer: -3*i - 3531910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.6264182s?\nAnswer: 626418200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2 + 5*u - 4. Let g(s) = 2*s**2 - 3*s + 2. What is 11*g(y) + 6*w(y)?\nAnswer: -2*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 2.698\nAnswer: -1.6188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o - 15. Let j be d(-5). Let n be (2 + j\/27)*(-3)\/3. Factor -n*f**3 + 4\/9*f**2 + 0 - 2\/9*f.\nAnswer: -2*f*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 4:24 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 2*v + 4*v - 3 - 5*v. What are the prime factors of c(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 141*k + 29601 = -691*k - 346*k for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/((f\/f**(-1\/3))\/f)))\/(f**(2\/21)*f))\/((f*f**(2\/9))\/f**(-4)) assuming f is positive.\nAnswer: f**(-440\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676949.\nAnswer: 7, 13, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 8 = 28 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p**2 - p**2 - 3*p**2)*((-2*p - 2*p + 2*p)*(2*p + 2*p - 3*p) + 186*p**2 + 397 - 182*p**2 - 63) to g + u*p + t*p**3 + r*p**2 + v*p**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4 + 3*s**2 + 1 + 2*s**2 + 3*s + s**3. Suppose -3*p + 31 = -5*l, 4*l + 8 = -2*p - 8. Calculate g(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 12*l - 3*l. Calculate the least common multiple of 9 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 516.4356nm?\nAnswer: 0.0000005164356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26153104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**1)**(1\/19) assuming h is positive.\nAnswer: h**(2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 6533 and -3\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 765\/4 - 190. Let u = -0.1 + 0.5. What is the closest to 2\/5 in u, -1, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169000024?\nAnswer: 2, 21125003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5481566.\nAnswer: 2, 1187, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(-2 + 4 - 3)*(5*n + 7*n + 8*n)*(-4 - 2 + 4) to the form i + m*n and give m.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 * -4\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4393, 4365, 4 in increasing order.\nAnswer: -4393, 4, 4365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*x - 2*j, 3 - 26 = -3*x - 2*j. What is the remainder when (13\/1)\/(2\/2) is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9211*b + 349.\nAnswer: 9211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 1)*(0*f - f + 3*f) - 5*f - 3*f + 6*f + 2 - 4*f - 2 + (3*f - 4*f + 0*f)*(-1 + 0 + 3) to the form q + c*f and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**5*k - 3621*j**5 - 411*j**2*k - 3*j**2 wrt j?\nAnswer: 60*j**2*k - 217260*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293589950 to the nearest integer?\nAnswer: 17134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3832 and 19170538.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 34, 66, 110?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 12523379?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -262.2 - -258.2. Which is the biggest value? (a) 1 (b) 3\/7 (c) -1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 5795 = 14591. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 3100 = 1232. Let a = f + -234. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7708 - -9488. Calculate the remainder when c is divided by 105.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/374 and 19\/56170?\nAnswer: 10503790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 842649, 1685316, 2527983?\n\"Answer: 842667*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (10\/8 - (-51)\/(-34))*120\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 950 and 1414835.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 6*l**2 - 2*l - 8. Let u be n(-6). Suppose 3*o - 8 = -k, u*o - 5*k = -o + 20. What is the second derivative of -2*s**3 + 0*s + s**o + s wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/2690 + -6007\/562210. Is -1 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -10*h + 11*h. Let v be (h + 0)*3\/15. Let m = -0.2 - 0.8. Which is the second smallest value? (a) m (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6627*f - 4472*f**2 - 17541*f**2 - 6627*f - 50*f**2 + (f + 0*f + 4*f)*(4 + f - 4) to a*f + l*f**2 + m and give l.\nAnswer: -22058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38142877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -301*r - 13545. Let c be z(-45). Let m = 6 - 3. What is v in c - 100*v**m - 5\/3*v**5 - 320\/3*v - 560\/3*v**2 - 65\/3*v**4 = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161765 and 12715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/4 - -71\/28. Let u = -3.7 - -4. Let o = 417\/8 - 2077\/40. What is the nearest to h in u, 1, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/2)\/(v\/v**(-10))*v**(2\/13)\/(v*v*v**7) assuming v is positive.\nAnswer: v**(-503\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -3*f**2\/2 - 3*f + 11. Let r(g) = g**3 + 8*g**2 - 4*g + 11. Let x be r(-8). Suppose 0 = -13*w + x + 9. What is h(w)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/2399 - -52763\/35985. Let c = k + -4\/5. Factor -1\/6*n**3 - c*n**2 - 1\/2*n + 0.\nAnswer: -n*(n + 1)*(n + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.71 - -8.11. Let r = d - 3.4. Which is the second smallest value? (a) r (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (4 + 2*-3). Let t(v) be the third derivative of -1\/6*v**3 - 2*v**2 + 0*v + q + 1\/15*v**5 - 1\/8*v**4. Let t(a) = 0. Calculate a.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 569*q**3 - 2*q - 1. Let d(p) = 1138*p**3 - 5*p - 2. Give -2*d(w) + 5*f(w).\nAnswer: 569*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 - 208*l\/9.\nAnswer: -2*l*(l + 104)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 80. List the prime factors of k.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z - z**4)*(5 - 7*z - 7 + z).\nAnswer: 6*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0465 * -2866\nAnswer: 133.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/7 + -5\/14. Let g(i) be the first derivative of -1\/2*i**2 - 3 - w*i**3 - 1\/8*i**4 + 0*i. What is l in g(l) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2819\/2 - -1360. Calculate the common denominator of (27\/(-225))\/(3\/(105\/(-2))) and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 (base 7) in base 4?\nAnswer: 11022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 31*s**2 - 2*s - 42 + 42. Let r be b(2). Let c(n) = 2*n + 4. Let z be c(10). What is the greatest common factor of z and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 + 153. Let y = -48946477 + 48946533.0000088. Let f = y - h. What is f rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 130*m**2 - 9*m - 134*m**2 - 5*m.\nAnswer: -4*m**2 - 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 3 + 2*g**2 - 2 + (-g + 0 + 0)*(g - 3*g + 3*g) - 6 + 6 - 10*g**2.\nAnswer: -9*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.324, 0.2, -0.1 in decreasing order.\nAnswer: 0.2, -0.1, -0.324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 4. Let q(h) = h**3 - 10*h**2 - 9*h - 16. Let d be q(11). Give k(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 10111220033?\nAnswer: -10111220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6778*g = -7301*g - 25627 for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.7? (a) -5 (b) 7 (c) 2\/7 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 4*p + 210 = 5*r + 54, -162*r + 128 = -159*r + 16*p for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -66, -65, -64, -63, -62?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 4:51 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**3\/c))**(8\/5)*c**(-5)\/(c\/c**(-1\/3)) assuming c is positive.\nAnswer: c**(-119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 5*g + 8. Let n be x(6). Suppose -m - 4*m + 71 = p, -n*m - 4*p + 32 = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3742934 at most 3742913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 15 = n, -4*w + 9 = n. Suppose s + 13 = 3*l, l - s = w - 0. Let v be 6\/21 - 592\/112. Put -4, l, v in descending order.\nAnswer: l, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 180?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -545\/17?\nAnswer: -545\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36285.20556+423.86\nAnswer: 36709.06556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from maleellpl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1634 - 1623 = -n - 2*j, n - 6*j - 21 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*n**2 + 13*n**2 - 101 - 4*n**2 + (3 + 2*n - 3)*(-2*n + 7*n - 3*n) + n**2 - 3*n**2 + 4*n**2 + 2*n**2 - 3 + 3.\nAnswer: 9*n**2 - 101","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 208d (base 14) to base 8\nAnswer: 12755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q - 2. Let i be j(-2). Suppose 4*s = -0*k + i*k, -2*k - 6 = -4*s. Suppose -3*o = s*f - 18, 2*o + 0*f = 2*f - 8. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**2 - 25*p - 3. Let k be u(-6). Suppose 0 = -2*s - s + i + 103, s = 5*i + 53. Calculate the highest common divisor of s and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/738 and -17\/2766?\nAnswer: 340218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pte when three letters picked without replacement from {p: 12, e: 3, t: 1}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -x + 174, 2*c + 3154 = -2*x + 3082 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 198\/225*-5*125\/25\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 351\/(-325) + (-48)\/(-100)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 31*m**3\/6 - 545*m. Let d(c) = 13*c. Determine w(d(l)).\nAnswer: 403*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jju when three letters picked without replacement from {u: 8, j: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 + -0.7. Let u = -14.32 - g. Let h = u + 14.3. Which is the second biggest value? (a) 0.4 (b) -4\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 8 = 13. Let r(f) = -2*f + 1. Let s be r(-1). Suppose v + n = 0, 15 = -2*l + s*v + 92. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-1\/5)*o)\/o**(-3\/7))\/(((o*(o*o**3)\/o*o*o*o)\/o)\/o**(-2\/23)))**(2\/3))**(-33) assuming o is positive.\nAnswer: o**(86042\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 474 and -938867.\nAnswer: -938393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 2986 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c + 64160 - 64160 - 14*c**2 - 10*c.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (10 - 165 - 2))\/(10 + -15)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -793 + 776. Sort 3, 1, i, -5 in ascending order.\nAnswer: i, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13150.76 litres?\nAnswer: 13150760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 126528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 72137670 to the power of 1\/3, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20587 - -20596. Let b = 3 + 0. Suppose 0 = 5*y + 5 + 5, 3*d + 10 = -5*y. Solve d = b*t - s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l + 48. Determine a(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 13, -2, -115, -0.3, -1\/3, -2\/257, -2\/7?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 16 + 4 = 0. Let i(w) = -w**2 + 7*w - 2. Let l be i(7). Let b(o) = -o**3 - 2*o**2 - 3*o - 2. Let m be b(l). Solve -6*a = -r*a - m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -79191000 to the nearest 100000.\nAnswer: -79200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4071*b**3 - 2*b**2 - b - 17292.\nAnswer: 12213*b**2 - 4*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/220*(-18)\/(-3)*-1.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 30 = -2*j, 0 = -8*j + 3*j + 4*z + 75. Let h = 16 - j. Suppose -m + 5 = -k, 3*m - m - h = -k. Solve -m*c = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15208348 and 2748.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 487900 rounded to the nearest ten thousand?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 12:03 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1378\/17 - -83377\/1020. What is the common denominator of 77\/15 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let t(i) = i**3 + 2*i**2 - 3*i + 2. Let l be t(-3). Let r be q(l). Solve -j - 4 = -r*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21966383 and 775.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2770.526834 minus -0.73?\nAnswer: -2769.796834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 604.2 + -753.28. What is f rounded to the nearest integer?\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 3*f + 6*f)*(-18*f**2 - 4379 + 19*f**2 + 1040 - 2*f).\nAnswer: f**3 - 2*f**2 - 3339*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3800.8 + -3801. What is the fourth smallest value in -9, 0.05, s, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s - 3. Find the second derivative of 2*r - 4*r**4 - 3*r - s*r + 3*r wrt r.\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from {n: 2, i: 1, c: 4, d: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 185 (base 10) to base 14\nAnswer: d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38, 58, 92, 140, 202, 278, 368?\n\"Answer: 7*l**2 - l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (378\/(-17577))\/(-3*6\/54)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 147?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4192*s**3 + 3146*s wrt s.\nAnswer: 25152*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 413\nAnswer: -8\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, -5, 4030 in increasing order.\nAnswer: -5, 71, 4030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 101020012000?\nAnswer: -101020011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1287)\/6 - -2)\/(264\/(-2992)). Let a = -2408 + m. Solve r - a*r**2 + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((550\/33 - 16) + 0 + (-528)\/9)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162 + -189.8. Let k = 27.8000769 + u. Round k to 6 decimal places.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - (2 - 15 - (-2 + -27 + 19)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Suppose 0 = -2*a - 3*a - l*d + 29, 3*d = 4*a - 7. Suppose 2*m - a*m + 12 = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*h**2 - 240*h**2 - 240*h**2 + 747*h**2 + 121.\nAnswer: 14*h**2 + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-360 - -67)\/(2\/(-48))?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 - -100. What is the remainder when 27 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 830*v**2 - 29343*v - 45. Determine n(-37).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 + -8.8. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(176))*-5 + -3*(sqrt(176) + 1))*5.\nAnswer: -160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18851, -37693, -56529, -75359, -94183, -113001?\nAnswer: -131813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2844.58278 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 110481?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1603 is divided by 146?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + -18. Let u = d + 33. Suppose -2*s + 6 = 0, 3*p + 4*s - 1 = 2. Sort -1, u, p.\nAnswer: u, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*c = -27, -2*x + 131*c - 14 = 130*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34052650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**2 + 23*m - 15. Let z be u(-12). What is the tens digit of z - (-108)\/(-1 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 16*t + 17.\nAnswer: -(t - 1)*(t + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*q**2 + 6*b**2*q**2 + b + 442*q**2 wrt b.\nAnswer: -12*b*q**2 + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3968 and 9158888?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-42*(-29)\/(-31668))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 269518.\nAnswer: 269518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -10. Let f(o) = -o - 1. Give a(q) - 2*f(q).\nAnswer: 2*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179028599?\nAnswer: 1579, 113381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009826773 to five dps.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -7 - (-23 + 14 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + 6*d**4 - 3*d**4)*(-d + 0*d - d)*(-6 + 5 - 2).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + g**2 + 3*g. Let l(j) be the second derivative of -j**5\/20 - j**4\/12 - j**3\/3 + 34*j + 9. Let r = 11 - 6. Determine r*i(p) + 6*l(p).\nAnswer: -p**3 - p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.5, 17, -2, -12, -3\/29 in decreasing order.\nAnswer: 17, 0.5, -3\/29, -1\/4, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83376 and 919838.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 - 8784*f**4 + 17572*f**3.\nAnswer: -f**3*(f - 2)*(f + 8786)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 323*t + 3379. Determine i(-11).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12*((-423)\/27 + 6 - (-8 + -1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 4*k**2 - 5*k - 9 + 4*k. Let z(b) = -6*b**2 - b + 1. Let t(j) = 17*j**2 + 2*j - 4. Let y(r) = -4*t(r) - 11*z(r). Calculate -4*v(i) - 7*y(i).\nAnswer: -2*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2139636.7588187 - -2139637. Let r = l + -0.241. What is r rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -5 (c) 2.71 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + -6 - 2 - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*s, 5*b = 2*s + 6 - 3. Suppose 0 = 2*n - 5 + b. Solve n*u = -0*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 522*h - 84. Determine t(2).\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Let b = 0 - z. Solve a + b*a + 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, -3\/4, 29\/4?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 30*p**2.\nAnswer: 5*p**2*(p - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -17 - (-2 - 4 - -77)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14788 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from {q: 1, b: 1, r: 3, g: 2, d: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 679\/1115 - 2\/223. Let t = -23\/36 - -5\/12. Suppose 0 = 6*y - y + 10. Put t, y, j in ascending order.\nAnswer: y, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 584.7 in 1\/8, -274, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4138 or -4092?\nAnswer: -4138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -181946, -3, 4, 2, 3 in increasing order.\nAnswer: -181946, -3, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 419*s - 412*s - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 - 3242*q**3 - 701136*q**2 - 50668416*q - 20155392.\nAnswer: -(q + 216)**3*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 4*i - 3*i)*(-5 + 2 + 6) + (1 - 3 + 0)*(-1 + 1 - i)*(-99 + 211 + 66).\nAnswer: 362*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/31 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 2*t**2 - t + 10. Let u(g) = -g**3 - 7*g**2 + 3*g - 33. Let f(q) = -13*r(q) - 4*u(q). What is f(2)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1668390?\nAnswer: 2, 3, 5, 19, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5*(-33 + 38). Calculate the least common multiple of 10 and p + (8 - 0)*6.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129*a**3 + 70*a**3 + 46*a**3)*(8*a**2 + 6*a**2 - 6*a**2 + (1 - 3 + 0)*(-a**2 + 1 - 1)).\nAnswer: 2450*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 2. Let g(r) = -4*r + 4. Let v(f) = -f**3 + f**2 + 2*f + 1. Let i be v(2). Let k be i\/(-6) - 438\/(-36). Let y = -10 + k. Give y*g(a) + 5*m(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -674*s + 678*s - 46 + 14, 0 = -4*s + 44 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 27 - 29 + 7)*(-f**4 + f**4 - 4*f**4).\nAnswer: 184*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 430 - 772. Let a = 593 + n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t + 2*s - 26, 2*t + 3*s = 9. Let b be (-1)\/4 + 15\/t. Let j(u) = 11*u + 1. Is j(b) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 898 divide 778524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112121120000 (base 3) to base 13.\nAnswer: -a0bc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*s + 128 + 80 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 - -4353?\nAnswer: 4443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*t - 265*t + 496 = 0 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755903 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**2 - 2577*u**3 + 18*u**5 + 2577*u**3 - 35 wrt u.\nAnswer: 1080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -7, -9, 5, 41, 105?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-18)*s*s*s\/s**(-16))\/(s\/(s\/(s\/(s\/s**7))))**(-41) assuming s is positive.\nAnswer: s**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 11 + 1185*o + 13 - 7*o to x*o + g and give x.\nAnswer: 1178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59310 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 38.9041?\nAnswer: 41.9041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117612.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - 0.07. Let u(s) = -s**3 + 9*s**2 - 6*s - 11. Let g be u(8). What is the closest to l in 4, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/9789 and 28\/42921.\nAnswer: 557973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 200 + -95 - 115 - (-18 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/66)\/(-4*7\/((-26488)\/(-11))).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*n + 1 + n + 41*n)*(n - n - n).\nAnswer: -143*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92239 + 144032. What are the prime factors of i?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 646 = 9*t - 13*t, -3*t - 981 = -3*v. Let f = v - 116. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003889 to 4 decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 12*k**2 - 20*k + 18. What is the units digit of l(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 8*c - 5. Determine g(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i - 3. Suppose 2*t + 2 = -4*f - 0, 0 = -f + 4*t + 22. Let m be v(f). Suppose 1 = m*o - 9. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*i + 38 = s, 5*s - 2*i - 230 = 0. Suppose s = 5*x - 72. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 205 + -206. Let v be (0\/2 - 4)\/(-38). What is the third smallest value in v, s, -1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8024*v - 2700*v - 14866*v)*(-2*v + 0 + 0) to o*v**2 + z + x*v and give o.\nAnswer: 51180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = 3*t, 0 = -5*s - t + 1 + 14. Suppose -g + s = -3. Is (-3)\/g*(-34 - 0) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. Let x = f + -2. Let o = x + -2.0006. Round o to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) -2 (b) -7 (c) 3 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3 + 4*x**2 + 228*x + 3110. Give r(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7054528 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 15*j + 33. What is the units digit of i(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48313142 <= 48313150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1839 or 0.2?\nAnswer: 2\/1839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l**2 + 5*l + 6. Let x be ((-4)\/(-6))\/(2\/(-3)). Let t(o) = -o**2 + o + 1. Calculate x*h(y) + 6*t(y).\nAnswer: y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-12)\/(-21))\/((-2)\/7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 474\/17 - 28. Let m be -6 + 1 + (0 - -1). Which is the smallest value? (a) 0.5 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 4. Let y(t) = -t - 4. Suppose 2*r - 4*c + 22 = -3*r, -4*c = 8. Let g(z) = r*m(z) - 5*y(z). Suppose -12*x + 18 = -15*x. Determine g(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/110)\/(1\/(-3)). Which is the second biggest value? (a) 1\/4 (b) x (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128395944?\nAnswer: 2, 3, 1783277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 332.547 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 48*w**2 + 81*w + 14. Let a be n(-46). Calculate the greatest common factor of a and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -0.5 (b) -3 (c) -0.05 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/72 or 0?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -14 + 12)*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvjv. What is prob of sequence jjv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 o when three letters picked without replacement from {o: 4, s: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1886953.89 to the nearest ten thousand.\nAnswer: -1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 4, 7, -5, -44, -1 in ascending order.\nAnswer: -44, -5, -1, 4, 7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 11*h**2 + 11*h - 9. Let s be f(10). Suppose -12 = 6*z - 3*z. Let o be (2 + (-2 - -3) + s)*z. Which is smaller: -18 or o?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 6*u + 1. Let y be c(-5). Let p = y + 8. Suppose -5*m - 3*i = 13, -4*m + p - 14 = 2*i. Let t(n) = -2*n**3 - 4*n**2 - n + 2. Determine t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 3. Let x = 19 - 22. Let o be l(x). Suppose 3*a - 15 - 27 = o. Calculate the remainder when 25 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 20*t - 157. Calculate the remainder when 908 is divided by u(-12).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**9\/20160 + p**6\/240 - p**5\/15 + 3*p**2. Let f(h) be the third derivative of m(h). What is the derivative of f(n) wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -30*y**4 + 110192*y**3 - 337646*y**2 + 22020*y = 0?\nAnswer: 0, 1\/15, 3, 3670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 165 (c) -72 (d) 1\/11 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 6. Let g be t(6). Suppose -2*n + 0 = -g. Find the second derivative of -i - 4*i - 2*i**4 - n*i wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50\/11 in -1\/2, 1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -30*x + 402. Give z(15).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 32*j - 540. Sort -2, 3, j in ascending order.\nAnswer: -2, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 1979808?\nAnswer: 395961.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 + 3220223?\nAnswer: 3220023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10329 - -10626. Calculate the remainder when n is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03488 take away -1?\nAnswer: 1.03488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129583 and 25654?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -11. Suppose 4*n - 7 - 2 = -3*a, 5*a + x*n - 15 = 0. Determine q, given that 7*q - q**2 - q**2 - 2 - a*q**2 + 0 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x + 2*g = 16, 0 = 4*x - 3*g - 22. Which is bigger: x or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4900.425061336873 - 0.425067254873. Let u = y + -4900. Round u to 7 dps.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*l - 215 - 493 = 4314 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12)\/(20\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0199 - -5.0199. Let q be (-3)\/5*8\/(-3). Sort q, 2\/5, -2\/5, v.\nAnswer: -2\/5, 2\/5, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72030 (base 9) to base 16.\nAnswer: -b934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Suppose 4 = l - g*l. What is the derivative of -h**4 + 2 + h**4 + h**4 - 3*h**l wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -11, -26, -47?\n\"Answer: -3*f**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*-3)\/((-6)\/(-10)*220\/132)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 74*i**2 - 1 + 72*i**2)*(-2 - 23*i + 2).\nAnswer: 46*i**3 + 69*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031301 to five dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5558767, -5558812, -5558887, -5558992, -5559127?\n\"Answer: -15*n**2 - 5558752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 + 856*d - 1706. Calculate w(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -116*w - 1906. Let p be c(-17). Solve p = -21*g - 12*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4824 divided by -4824.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a - 2. Let n be v(-2). Suppose -n*i + 2 = -i. What is the third derivative of -l**4 - 2*l + 3*l - 3*l**i - l wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -127*r + 140*r. Let g = 311\/4 - 9639\/124. Is g smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-3 - 1) - (49 + (43 - 30))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s - 9. Suppose 5*w + 25 + 23 = -4*z, 2*z = -4*w - 36. Give r(w).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.535924 + 0.90361?\nAnswer: 0.367686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*h*w**2 + a*h*w + 143*a*h - 4*a*w**2 + 6*h*w**2 wrt w.\nAnswer: -4*a*h - 8*a + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30749 divided by -23214\nAnswer: 30749\/23214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1080)\/1485*(-1)\/4\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12058592 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -35823\nAnswer: -35822.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -394 - -397. Suppose c*r = 8*g - 13*g + 109, -3*r = -g - 79. Calculate the remainder when r is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2866114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-46)*((-2)\/8)\/((-147)\/(-392))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) + (-3)\/12. Suppose -4*m + 4*b = b - 12, 3*m + 2*b = 9. Let y be (1000 - o) + 0\/m. Round y to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 23*m - 20. Let t be 51\/(-6) + 6\/(-4). What are the prime factors of c(t)?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 3*h**2 - h + 1. Let c(i) = 3*i**3 - 196*i**2 + 2*i + 1. Give -c(b) - 2*j(b).\nAnswer: b**3 + 202*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34621 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5)*75\/135. Let p be (120\/(-540))\/((-2)\/3). Sort i, p, 3\/5, -0.3 in descending order.\nAnswer: 3\/5, p, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + -0.4. Let r = -1.5 - c. What is r rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.75 - 0.25. What is the third biggest value in k, -3, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/8 - 7600*q**2 - 60799*q\/8.\nAnswer: -q*(q + 1)*(q + 60799)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 times -0.086395?\nAnswer: -25.832105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -125. Suppose 0 = -2*o - 2*v - 82, -107 + 2 = 3*o - 3*v. Let f = o + p. What is the remainder when f is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 0 - (355 + -306)) + 12.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(77)*-3 - (sqrt(77) + sqrt(77) + 2*1*sqrt(77) - sqrt(77)))\/(-4*sqrt(42)\/sqrt(6) + 6*2*sqrt(7)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 12, w - 19*a = -17*a - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-5))\/(12\/1886). Let n = -71827\/228 - u. Let p = -1277\/2 + 685. What is the common denominator of p and n?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/330 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1. Let f(j) = -j + 8 + 3 - 18. Determine f(g) - 4*s(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-81))\/(1\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 127 (b) 6\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26, 0.1, 3, 0.5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 12:19 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 3, 89, -1 in descending order.\nAnswer: 89, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0106158 minutes in seconds?\nAnswer: 0.636948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2276128994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 95*a + 8. Let w be v(4). Suppose 0 = -5*r - 78 + w. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 118 and 4226974.315.\nAnswer: 4227092.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k + k + 5*k)*(-1 + 2*k + 0 - 6*k).\nAnswer: -56*k**2 - 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in 3, -2, 0.2, 1836?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -7, -2 in ascending order.\nAnswer: -7, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 224057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 32049.44 days?\nAnswer: 2769071616000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -q + 56. Suppose 4*x + 2*b - q = 0, -4*b - 8 = 3*x - 87. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/385 - (20162\/(-1190) + 41 + -24)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(396\/21) - (-222)\/(-407). Are -0.773 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*h**3 + 3*h**2 - 2*h**2 - 125*h**3 + 201*h**3.\nAnswer: -7*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 144.3 times -41.5\nAnswer: -5988.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30693, -61381, -92069?\n\"Answer: -30688*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14133, -1 in descending order.\nAnswer: 14133, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251 = 7*p + 279 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442 = 378*c - 141*c + 5182 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9931 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 17*x - 12. Is (-9)\/((-6)\/x)*(-1 + 163) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81415 is divided by 246.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38345, -73020, -107693, -142364, -177033, -211700?\n\"Answer: i**2 - 34678*i - 3668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d + 2. Let x(j) = -11*j + 1. Determine -6*f(l) + 7*x(l).\nAnswer: -5*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**5\/60 - 5*n**2. Let a(o) = 4*o**2 + 33*o**2 - 21*o**2 + 14*o**2. Calculate a(c(b)).\nAnswer: 30*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -521de - -3?\nAnswer: -521db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 301 - 7?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 25*b**2 + 5*b + 13. Determine g(-23).\nAnswer: 956","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 490099 or 490102?\nAnswer: 490099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/2 + 2359*y\/2 + 3534.\nAnswer: (y + 3)*(y + 2356)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 247, 245?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3412361 (base 12) in base 9?\nAnswer: -20687181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 244?\nAnswer: 97.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3542 - -3541.9. Let g = 1.2 - 1. Which is the third smallest value? (a) q (b) 1\/2 (c) g (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4632 divided by 1158\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -2. Let a be -1 - (3*y + 2). Differentiate 7 + 2*b**2 + 4*b**2 - a wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -1243860\nAnswer: 3\/414620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3989, -7984, -11991, -16016, -20065?\n\"Answer: -l**3 - 3988*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2426444.\nAnswer: 2, 17, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1390*q - 1256 = -1392*q. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 169\nAnswer: -67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34121 + 5?\nAnswer: -34113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -8. Let a(d) = -d + 1. Let l(p) = -3*p + 1. Let q(t) = y*a(t) + l(t). Let c be q(1). Which is smaller: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 11 - 8 - (19 + 3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 12 = 2*v, 12*v = 7*v - 2*m - 14. Let u = v + -1\/2. Which is the closest to 1\/3? (a) 0.2 (b) 1\/4 (c) u (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*h - 199*h - 17050 = -455*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (50 + (-2)\/(-1))\/(940\/(-705))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l + 19. Let p be z(-6). Suppose o = 3*y - 5, 6*y - 3*y = -o + 1. Let b be 24 + -25 + 2\/(-4) + 0. What is the biggest value in b, o, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160754357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 47, 72, 117, 188, 291, 432?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*n - 8594 = 0, 0 = -8*w + 13*w + n - 8606. Is 42 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2221*h + 5694 - 53849 = 96210 for h.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3) - (-10 - (-1284)\/126).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -2*a**6\/15 + 9*a**5\/10 + 5*a**4\/6 - 15*a - 2. Determine l, given that s(l) = 0.\nAnswer: -1\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3 + 4*sqrt(99) + sqrt(99))**2*4 - ((sqrt(99)*-3*1)\/sqrt(9) + 1)**2).\nAnswer: 366*sqrt(11) + 9839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12213, 5, 3 in descending order.\nAnswer: 12213, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > 210443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 10:21 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 66\/6 - -2 - (-449 - -500)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*p = -0*o, -4*o = 4*p. Solve -m + l - 4 = o, 5*m + 7*l + 20 = 2*l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2*v - 2 = 0, -3*c - 59*v = -58*v + 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 s when three letters picked without replacement from {d: 3, s: 2, r: 5, t: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*x + 388, -7*i + 9*i - 3*x - 169 = 0. What is the greatest common divisor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 158*r - 19. Let y be ((-36)\/(-54))\/(1\/(-3)). Let x be j(y). Let o = x + 1212. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 713, 726, 793, 944, 1209, 1618?\nAnswer: 2201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*j + 120. What is the smallest common multiple of j and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)\/d**(-7))\/(d**(-1))**(6\/29))\/((d**(-1)\/d)**48\/((d**(-2)*d)\/(d\/(d*d\/d**(-6))))) assuming d is positive.\nAnswer: d**(3080\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102450 and 6776043.\nAnswer: 2049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-90)*57*(2\/(-9) + 581\/63)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -144809, -144807, -144805?\n\"Answer: 2*y - 144811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25974 and 2184.\nAnswer: 727272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -s + l + 115, s + 2*l = 243. Calculate the highest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 338 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 7 - 37 = -3*j, 3*g - 90 = 4*j. Let t be (2\/(-6))\/(2\/g). Is t bigger than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3122852779.\nAnswer: 1667, 1873337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8052)\/4697)\/(-1*(-2)\/(-25683)) - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3963114092?\nAnswer: 2, 7, 43, 367, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n + 13. What is b(-10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.734 in 102, -6, -36?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 3:39 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08, -12616, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634750035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - 32 - (-1 + 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 327 and 32546.5.\nAnswer: 10642705.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = w + 40, 0 = 5*t + 2*w + 3*w + 50. Suppose 3*f + 18 = -0. Let s = f - t. Solve -s*i = 2*k - 2*i - 10, -k + 13 = 5*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 29*d**2 + 30*d + 60. Let t be m(-28). Put 1\/5, -0.5, 2\/5, t in descending order.\nAnswer: t, 2\/5, 1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3083016 divided by 76.\nAnswer: 40566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5116\/6 - 1\/(-3). Let h(x) = 234*x + 1392. Let u be h(-4). Let w = g - u. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66 + 14*i + 54 - 15*i to t + g*i and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6669*h + 3349*h + 163 = -3334*h - 47 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10a5 + 1a5797?\nAnswer: 1a46b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 11. Suppose -p = -2*u + 577 - 565, 3*u = -2*p + 11. What is the smallest common multiple of u and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -19. Let o be (6\/w)\/1*3. Let s = 3 + -2. Sort o, s, -5.\nAnswer: -5, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -35. Let b = 23\/565 - -18\/113. What is the closest to n in -2\/3, 5, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1858 or -1859?\nAnswer: -1859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2774*t**3 - 1789*t wrt t?\nAnswer: 16644*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 127 times 102344\nAnswer: 12997688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3*-3*sqrt(2736) - sqrt(2736))**2 + 6*1*sqrt(2736)) - (5 + 1 + (sqrt(2736) + -1)*-2 + -3).\nAnswer: -1368005 - 336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*c - 20. Let l(z) be the third derivative of 101*z**4\/24 - 23*z**3\/6 + 454*z**2. Is l(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**3 + 9*r**2 - 171*r.\nAnswer: -18*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 4*f**2 + 35*f + 145. Give r(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -2, 5, 7, 156, -18\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -112908*v + 873. Let b(t) = -259*t + 2. Let m(y) = -873*b(y) + 2*q(y). Let s(f) = -f**2. Give s(m(p)).\nAnswer: -84681*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 715135 by -1.\nAnswer: -715135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.007 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1067056*z**4 + 56*z - 28512.\nAnswer: -12804672*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 122*b - 175 = -1874, -4*u = -3*u - 0*u - 3*b - 39 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - (28 - 21 - -23).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i = 144715 - 30805. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10814*b**2 + 222*b - 89.\nAnswer: 21628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12122 - -0.12122. What is the closest to -2 in r, -10, 5\/2, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 11:34 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*v**2 + 383*v**2 + 323*v**2.\nAnswer: 547*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnwn when four letters picked without replacement from {t: 1, w: 1, n: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.100989031 rounded to three decimal places?\nAnswer: -6.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99392580 divided by -140.\nAnswer: 709947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*l = -5*y + 185*l - 299, 0 = 2*y + 4*l - 166 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3649710301 to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*x + 54, 3*s + 12 - 2 = x. Let a = -9 + x. Suppose 12*j - 8 = a*j. Solve t + t = -j*c + 12, -4*c + t = -6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h - 70 = 4*m, -2*h + 3*m = -71. Calculate the remainder when (34\/3 + 12 + -16)\/(10\/60) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(468)*-2 + 1*sqrt(468) + sqrt(468) + 0 - (5 + (2*sqrt(468))**2)*-1.\nAnswer: 24*sqrt(13) + 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 41*-55819\nAnswer: -2288579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 4*u**2 + 3*u + 4. Let r(j) be the first derivative of 5*j**4\/4 - 3*j**3 + 3*j**2 + 9*j + 5. Determine 9*q(w) - 4*r(w).\nAnswer: -2*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t - 32*t - 8 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14481*z + 14477*z = 48 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*z + 20, z + 4*d = -15 - 10. Let j be (-8)\/(-32) - (-5)\/(-36). Sort -3, z, j in ascending order.\nAnswer: z, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5610, -5705, -5872, -6117, -6446, -6865?\n\"Answer: -q**3 - 30*q**2 + 2*q - 5581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -5*o + 4*x, 0*o + 19 = -5*o + 3*x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - 3 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 129078144 a multiple of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 10100101001?\nAnswer: 10100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138775, 138778, 138791, 138820, 138871, 138950, 139063?\nAnswer: 139216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 8, 0 = 2*w + 2*f - 0 - 4. Let o(a) = -a**2 - 9*a - 4. Let j be o(-6). Solve 2*z = z - n + w, 0 = -3*z - n + j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2025304 (base 6) to base 8.\nAnswer: 275510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399416768?\nAnswer: 2, 17, 29, 12659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -35*w**2 + 1270*w - 76910. Let c(h) = 2*h**2 - 2*h + 2. Let r(s) = -15*c(s) - o(s). Suppose r(v) = 0. Calculate v.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1228501492 to the nearest integer?\nAnswer: 35050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 75, 92, 111, 132?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 >= -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**4\/3 - 117260*f**3\/3 + 2586765*f**2 - 15168790*f\/3 + 7525760\/3 = 0. Calculate f.\nAnswer: -23518, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4\/23625 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**5\/4 - g**4\/2 + g**3\/4 + g**2\/2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 624336357 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.47861312 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4018*n**2*r - n**2 + 38*n + 10 with respect to r.\nAnswer: -4018*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 150 - 149.933. Let u = -288 - -288.807. Let p = u - l. What is p rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.6 + 7. Let k = 1\/104 - 111\/728. What is the third smallest value in w, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -377\/4. Let h = -491\/32 + x. Let y = 322\/27 - 1097\/54. Calculate the common denominator of y and h.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g + 3*g + 0*g + 6 + 2*g. Let y be a(4). Suppose 0 = -y*k + 6. Solve 16 = -k*s - s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7835109 is divided by 70.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7494386 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 211377*h**3 + 5005685736*h**2 + 40793591276736*h + 22544198397611520.\nAnswer: 3*(h + 595)*(h + 23288)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -96\/4373 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -170*h**2\/9 - 52418*h\/3 - 3700\/9.\nAnswer: -2*(h + 925)*(85*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(55)\/(-5*sqrt(25)\/sqrt(5)))**2 - ((2 + sqrt(396))**2*-4 + (0 + sqrt(396))*-4).\nAnswer: 592*sqrt(11)\/5 + 40411\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:15 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (36\/(-184))\/(12\/80) and 29\/(-5)*3\/2.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n + 4. Let i = 4 + n. Suppose 6*h = -i*c + 5*h + 27, 3*c - 51 = 2*h. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-264)\/(-55))\/((-2)\/(-10)). Suppose -3*r + k = 3*r. Suppose -f - 4*x = -r*f + 7, x = 5. Calculate the highest common divisor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 510382?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(45\/9).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 2102?\nAnswer: -2050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2 = -5*w, -6 = -2*w - 3*x - 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4 + 13*i**3 + 46*i**2 + 32*i = 0.\nAnswer: -2, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 156312254071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-108)\/231 + (-2)\/(-7). Let m = -111\/5 + 22. Let i = -3 + -2. Sort m, v, i.\nAnswer: i, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 406, 435, 492, 583, 714?\n\"Answer: d**3 + 8*d**2 - 2*d + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 25, 32, 35, 34, 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -13, 0, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idi when three letters picked without replacement from iidddddddddd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.9, -4, 16\/33, 3, 24 in ascending order.\nAnswer: -4, 16\/33, 1.9, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqgngiqnnqw. What is prob of sequence qwg?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 621\/138*(-2)\/(-24)*-2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - -100111111011010110?\nAnswer: 100111111011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855 is divided by 95?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/98)\/((-426)\/(-1988))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 9) to base 15\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.3 (b) -3033 (c) -1 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219700233\/20 + 10982300. Let m = 2710 + k. What is the common denominator of -31\/8 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbywnnbxwbuy. Give prob of picking 1 n, 1 y, 1 b, and 1 x.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4*f = -21 - 7, f = 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**4\/6 - 5*o**3\/6 - 7*o**2\/2 + 160*o. Let w(x) = 3*x**2 - 7*x - 11. What is 8*l(g) - 5*w(g)?\nAnswer: g**2 - 5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 2)*(5*u - u - 2*u) + (1 + 5 - 4)*(2*u + 19*u - 4*u))*(4*u**2 - 4*u**2 - u**2).\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122230 (base 6) to base 16.\nAnswer: -e0ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (-206 - -145 - (1 + -13)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 12:23 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 17*u**2 + 13*u + 9. Let v be j(-18). Suppose v = 5*c - 81. Let o = c + -36. Let w(z) = z**3 + z**2 - 1. Calculate w(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 2:02 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110000101010 (base 2) to base 13.\nAnswer: -51b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppvp when four letters picked without replacement from {n: 2, p: 4, m: 1, v: 1, w: 2, r: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00219267 rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140222168160187\/21348 - -6568398357. Let k = b + -1\/593. What is the common denominator of k and 59\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - g)*(-6*g**4 + 4*g**4 + 0*g**4) + g**3 - g**3 + 2*g**5 - 4*g**5 + 0*g**5 + 2*g**5 + (-2*g**5 - 2*g - g + 0*g**5)*(12663 - 9701 - 10989 - 3161).\nAnswer: 22378*g**5 + 33564*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 41 = w + 14, 29 = -3*h - w. Let q = h - -13. Solve -q = 5*v - 5*f, 4 = -4*f + 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*f + 110, -5*f + 215 = 4*h - 5. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c80 - 1235?\nAnswer: -50b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -203?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6308.9 + -6606. Let r = -284 - v. Let d = r - 13. Which is the closest to -0.2? (a) 1 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1219343581 and -283.24.\nAnswer: 1219343297.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16348252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 7*g - 9*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -60, -67?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 16, u: 4}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5236595 is divided by 154.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Let u = 257 - 254. Let h(o) = -2*o - 9. Let m(t) = -t - 6. Let b(r) = u*m(r) - 2*h(r). Calculate s(b(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 160*(108\/20 + (-9 - -4)). Let v be 2*2\/12*3. Let l be 1 + v + 7*2. What is the greatest common divisor of t and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2017 + -4133\/2. Let f = -353127\/60104 + 2\/7513. Calculate the common denominator of q and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 - 42 + 93 - 284*s in the form w*s + j and give w.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y + 3. Suppose 4*p - 36 = 5*x, 4*p - 3*x - 19 = 17. Suppose -2*b + p = -7. Suppose b - 3 = -z. Calculate m(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 3, r: 2, x: 8, e: 1, v: 2}. What is prob of picking 1 v, 1 a, and 1 x?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -3 (c) 1\/9 (d) 6\/7 (e) 2\/87\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*1\/4)\/(-2). Let p = 3 - 2.7. Is p smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/24 or 2?\nAnswer: 43\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 - -134. Suppose -z - 383 = -3*z + 3*d, -2*z + 348 = r*d. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 348*y + 10092.\nAnswer: 3*(y - 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/31)*m**(2\/3)*((m*(m\/m**(-2))\/m)\/m)\/(m**(-3\/11)\/m*m*m)*(m**(-1\/6)*m)\/(m**(-3)\/m)*m\/((m*m**(2\/13))\/m)*m**(3\/11) assuming m is positive.\nAnswer: m**(70539\/8866)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -47) + 4 - (-23 - -53 - 20).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -3. Let z = -5.8 - k. Let s be 3 - -1*2\/(2\/(-3)). What is the second smallest value in -2\/11, s, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 1 = -4*y - l, -15 = 5*y + 4*l. Let f = -5 - -9. Let g = 1 - -4. Solve -g*w + f = -y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 19 = -q - q, -42 = -2*m - 5*q. Suppose m = -6*g + 29. What is the nearest to -1 in 3\/8, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 + 25*t**2 + 11*t - 9. Let l be b(-12). Suppose l*p + 9 = 0, p + p + 1743 = 3*s. What is s rounded to the nearest ten?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36384 + 36386. Solve -2*r + 3*v = f*v + 7, -2*r - v - 1 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*t = 208*t + 4. Solve -3*q + 4*x = -7, 0*q + t*q - 5*x - 10 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (372\/930)\/(1 - (-9)\/(-5)). Sort -3, 10, h, -4 in increasing order.\nAnswer: -4, -3, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13354088 a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111105879 less than -1432?\nAnswer: -1111107311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s**3 - 2*s - 5 + 8*s**2 + 5*s**3 + 2*s**3. Let d be u(6). Let r = d - 53. Solve -3*b + 12 = 3*c, -r*b + 4*c - 16 = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 18. Suppose -z*w = -2*w - 6. Suppose -w*s + o + 1120001 = 0, -s = -2*s - 5*o + 559995. What is s rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 1.2 (c) -89723 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -71019 times 2\nAnswer: -142038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -f - 4*f. Let a be 7 + f + 6\/(-9)*3. Let o(i) = -4*i**2 + 3*i + 8. Let g(d) = -7*d**2 + 7*d + 15. Let v(r) = 3*g(r) - 5*o(r). Calculate v(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.772837 rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 3*l + 38. Let k be (-1)\/(-6) - (-3)\/(-18). Let y be i(k). Calculate the greatest common factor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8857 + 6257. Round z to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 - 359*m + 359*m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 10. Let d be r(-8). Let n be 2\/4 - 9\/d - 43. Let f = n + 50. Solve 2 = -f*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+-2.446596056\nAnswer: 0.553403944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 1:32 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104901 is divided by 188.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341339 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -34. Solve -5*o + n*h = -2*h - 22, -3*o + 11 = h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s - 34*s + 16 = -p, 4*p = -4. Solve 1 = -w - 4*k, -s*w + 4*w - 5*k - 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 1 + 4576*l - 4704*l + l - 1 + 1 + (-3 + 3 - 2)*(-3*l + l + l) - 3*l + 6*l - 2*l.\nAnswer: -124*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 9:17 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 + 0 = 0. Suppose v + 1 = -2*y, 11 = 3*y - 3*v + k*v. Let w(u) = u**2 - 9*u + 15. Let s be w(7). Solve -m - y = s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0*m**2 + 2*m + 1\/3*m**4 + 1\/2*m**3 + 0. What is the second derivative of b(y) wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41 and -5.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + 9916603?\nAnswer: 9916629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 7:43 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huhuhugguhgggg. Give prob of picking 3 g.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1565 (base 8) to base 13.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u**2 - 3*u - 4. Suppose 5*o + 2*l - 1 + 27 = 0, 2*o = -5*l - 23. Let z = o + 7. Let g(f) = -6*f**2 + 2*f + 3. Calculate z*r(c) + 4*g(c).\nAnswer: -3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/22 and 16\/37.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 14294165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 221787.33 nanoseconds in minutes?\nAnswer: 0.0000036964555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 10. Let m be k(9). Let b(q) = -2*q - 24. Let s be b(m). Suppose s = 4*p - 26. What is the highest common divisor of 72 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*i = 760*i + 2335 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -1\/2*t**4 - 16*t + 0 - 3\/20*t**5 - 3\/2*t**2 - 4\/3*t**3. Let z be v(-3). Are z and 48 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oweewwwwwwzwwezwwoow. Give prob of sequence eoo.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11*u - 5. Let y(o) = 23*o - 10. Let d(z) = -9*j(z) + 4*y(z). What is the derivative of d(g) wrt g?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 - 56*x + 51. Let z be i(-26). Suppose w + 2 = 0, -5*w - z - 77 = -3*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102119485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 129311 (base 12) to base 14\nAnswer: 7d8a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3573*n**3 + 956*n**5 + 1273*n + 3573*n**3 wrt n.\nAnswer: 19120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 69 = -7*v. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.14, 5, -0.5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*w + 84*w**2 - 320*w - 113*w**2.\nAnswer: -29*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 3 - 3)*(-2*h**2 + 2*h**2 + 2*h**2) + (-17 + 5*h + 17)*(-2*h**2 + 6*h**2 + 0*h**2).\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 0. Solve 7 = 2*y + m + 2, -s*y + m + 16 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 473329*d**3 - 467149*d wrt d.\nAnswer: 2839974*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 627076639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(10)\/sqrt(2)*-1) + sqrt(114)\/(sqrt(54) + sqrt(6) - sqrt(6)) + 2.\nAnswer: -2*sqrt(19)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/(-8)*3\/30*(-33)\/((-64350)\/240).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -361893521*k*l*v + 2*k*v**2 + 5975*k - 3*l + 664 with respect to v.\nAnswer: -361893521*k*l + 4*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 808*a**3*i**3*w - a**3*i**2 - 20*a**3*i*w + 5*a**2*i*w - 3*a*i**2*w - 4*a*i*w + 17*a*i wrt i?\nAnswer: 4848*a**3*i*w - 2*a**3 - 6*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {q: 2, e: 3, g: 1, p: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -281559 (base 14) to base 7\nAnswer: -14534042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 0 - 5*w - 5*w + 3*w - 2. What are the prime factors of c(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*z + 40 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*b + 149*b = 5*x - 720, 0 = -4*x - 3*b + 579. Is x less than 1020\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -9.51. Let g = -0.2 + n. Let v = g + 18. Round v to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i. Let m(h) be the first derivative of h**3\/3 - 3. Give w(m(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-300885)\/(-715))\/(2\/22)?\nAnswer: 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14 - 13)*(1 + 0). Let p be 2 + 2\/4*2. Is (-226)\/(1 - p)*r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000259927 to seven dps.\nAnswer: -0.0002599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-32)\/(-16) - -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.8644 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 19.55\nAnswer: -2.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 30 = 5*w, 3*w + 16*m - 21*m + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137 - 136.7. Let l = 4 + -1. Let j = -9 + 9.5. Sort l, j, f in ascending order.\nAnswer: f, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = g + g - 1, -2 = -4*q + 2*g. Let t(c) = 7*c**3 - q - 2*c**2 - 6*c**3 + 4*c - 2*c. Suppose 0 = -2*o - 4*a + 20, o - 2*a = 3*a - 18. What is t(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, -0.6, -1\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5067 and 1672673.\nAnswer: 15054057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*n + 2*j - 761, -4*n - 3*j + 1032 = 0. Suppose -5*u + 7*c - 6*c = -407, -3*c = 3*u - n. Suppose 11*q = u + 28. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**4\/4 - 71*q**3 + 429*q**2\/2 - 215*q - 454. Determine l, given that g(l) = 0.\nAnswer: -215, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {z: 1, i: 3, p: 3, u: 5}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/51 + 1)\/(2613\/3484)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 3*q**2 + 4*q. Let f be o(4). Suppose -g - 4*t + 20 = 0, 41 = 3*g - t + 7. What is the greatest common divisor of g and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**(1\/10)))\/b**(-1)*b\/(b*b**(-3)*b)*b**(-2\/7)\/b assuming b is positive.\nAnswer: b**(183\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6240, -3083, 9474, 31431, 62788?\nAnswer: 103545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208440)\/(-10808)*(-14)\/(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2)*3\/(-12))\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -6. Suppose -4*q = 2*r + 3 - 9, k = q + 5*r + 12. Suppose -2*l - 3 = -a, 5*l - 2*a + q = -a. Solve l*i + 4*i + 16 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d - 72. Let j be b(-11). Suppose -11039 = -4*q - m, -3*m + 13820 = j*q - 6*m. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 87, 80?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118 by 16.\nAnswer: -59\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4352.019 - -4352. Which is the nearest to 0.1? (a) p (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 140.8572 months?\nAnswer: 1.17381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21675)\/(-2890)*18\/3?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3349 - 10661 = 30*u. Let p = u + 482. Calculate the greatest common divisor of 150 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + 5 + -21 - (-1 + -13 - (-7 - -6))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 104 - 8. Suppose 4*a - u = -b, -5*a = b + 3*b - 23. What is the derivative of -4*v**a - 14 + 7 - 14 + 11*v**3 wrt v?\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-5)*7535\/(-121). Let d = -50 - j. What is the nearest to -1\/5 in -0.5, -1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 7, e: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s - 33*s = 2*u - 2, 5*s = 8*u + 36 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -2972?\nAnswer: -296a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**8\/168 - 59*s**6\/60 + s**4\/24 - 65*s**3\/6 - 4*s**2 + 3*s. What is the second derivative of p(w) wrt w?\nAnswer: 40*w**3 - 708*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -53 + 29 + 28 + -42 + -16?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*m + 2*m + 245 = 0, -368*a + 363*a - 105 = 2*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -968 - -974. Which is the closest to k? (a) 1 (b) 0.04 (c) 2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = -4. Suppose 32 = 6*v - y*v. Suppose 3*g + v = -g. Let j(a) = -2*a**3 - 2*a**2 + 2*a + 3. Determine j(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61.29 + 61. Let n = q + 0.3. Let g be ((-2)\/9)\/(21 + (-5076)\/243). Which is the second biggest value? (a) -2\/9 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 94 - 67. Solve -3*m = g*n + 3, -29 = 4*m + 3*n - 25 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14728357 or -14728356?\nAnswer: -14728357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5766488492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 215*u - 1906. Determine t(9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/75241?\nAnswer: -4\/75241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 67*b**2 - 1155*b - 1089.\nAnswer: -(b + 1)*(b + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 + -88. Solve j - v = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2229 is divided by 1376.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (2 - 0 - 7 - -9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8902, -35745, -80544, -143347, -224202, -323157, -440260, -575559?\n\"Answer: -8*o**3 - 8930*o**2 + 3*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 2, g: 1, p: 1, h: 1, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1*5*(-2)\/8*4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/89))**(-6\/25) assuming u is positive.\nAnswer: u**(-12\/2225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*(-3 + sqrt(1539) + 1 + sqrt(1539)))*-4.\nAnswer: -72*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 10. Let r be (3\/s*0)\/2. Solve r = -2*b + 7*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*h**3 + 5068*h**2 + 11*h + 140882964?\nAnswer: 63*h**2 + 10136*h + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 127458.66 and 8536610.\nAnswer: 8664068.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 678 and 23104.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4 (c) 4 (d) -2.25 (e) 9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-28) + (-18)\/14. Let s be q\/13*1*2. What is the third biggest value in 0.2, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 471497 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7480\/(-51))\/20*3\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1 (c) -3 (d) -38 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 52614846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**4 - 1634*s**3 + 16217*s**2 + 37340*s + 19488 = 0.\nAnswer: -1, 12, 1624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 84. Calculate the remainder when a is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12299 and 6275.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a hour in minutes?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = 72. Let w = k - -41. Suppose 0 = v + w*a - 1, 0 = 2*v - 2*a - 3*a - 2. What is the smallest value in -1\/7, v, 1\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.75 (b) 0.1 (c) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1, -0.04, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36271 and 411597?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*h = 25, p + 6*h + 20 = 2*h. Suppose -3*t - 8*t + 22 = 0. Suppose -4*u + 24 = -4*v, -8*u - 8 = t*v - 6*u. Sort -1, 3, p, v in descending order.\nAnswer: 3, p, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1879*a. Let y(i) be the third derivative of i**4\/24 - 2225*i**2. Calculate f(y(t)).\nAnswer: 1879*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -4a956?\nAnswer: 4a95a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(102) - (sqrt(102) + sqrt(102)*-3 + sqrt(102) + sqrt(102))*2)\/(sqrt(6)*-1*2).\nAnswer: -4 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 21 = 5*f, 5*z = f + f + 9. Find the second derivative of b + 47 + 41*b**2 + 13*b**f + b**3 - 39*b**2 wrt b.\nAnswer: 84*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 21*k + 8. Let o be d(8). What is the highest common factor of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-52)\/2 - (431600\/(-8))\/166. Suppose 266 = 4*y - z + 3*z, z = -y + 64. Calculate the greatest common factor of l and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 559.07 - 559.50497. What is y rounded to 2 dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*m + 204*m - 73*m - 61*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = y, -253 = -4*x - 4*y - 197 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d\/(d\/(d*d**(-1)*d)))\/d)*d*d)**(1\/47)\/(d**(-1)*d\/((d**(1\/2)*d)\/d)))**(-44) assuming d is positive.\nAnswer: d**(-1122\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16215018635791 + -57?\nAnswer: -16215018635848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 4, -5, 212, -1\/2?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, y: 5}. What is prob of sequence cc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8.109 - -21228919\nAnswer: 21228927.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 + 3*s + 2. Calculate n(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbf when three letters picked without replacement from {f: 3, u: 2, b: 2, i: 2, x: 1, l: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44a62 + 0?\nAnswer: -44a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from zhjthzchzhgth.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(2\/25)))\/w**(-1\/3) assuming w is positive.\nAnswer: w**(31\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + (6 - (14 + -1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -628, -2532, -5708, -10156, -15876?\nAnswer: -22868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*2*sqrt(700))\/(sqrt(4) - (sqrt(4) - sqrt(28)\/(sqrt(14)\/sqrt(2) + sqrt(7))) - (sqrt(16)*3)\/sqrt(4)))**2 + 2.\nAnswer: 11202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 18925*i - 18921*i + 52 = 0, -8*c - 4*c - 36 = 2*i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 39. Suppose j - t = -5*t + x, -3*j = -5*t - 48. Solve -z - p = -4, -2*z - j = -5*z + p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -11. Suppose -k*b = -2*b - 38. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaua when four letters picked without replacement from {h: 1, g: 1, b: 1, u: 1, a: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1580698 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 10*i + 13. Let n be p(9). Suppose -j - 3*a + a - 11 = 0, -4*a = 4*j + 28. What is the units digit of n\/(-1 + 3) - j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:29 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9740, -24434, -39128, -53822, -68516?\nAnswer: -83210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 102864 - 76350*b - 102864 + 76350*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3111 and 816?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - 35*h - h**3 - 39*h + 74*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-182)\/(-3) + (-2)\/3. Suppose 2*d + m = 7*d. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*v + 272, 730 = 5*v + 4*x + 20. Let o = v + -734\/5. Let t be (0 + (3 - 2))*-1. Sort 4\/7, o, 0.3, t in descending order.\nAnswer: 4\/7, 0.3, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 = 8. Let o = 6\/175837 - -27428346\/65235527. Let q = 8\/53 + o. Is i at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**4 + 4*y**4 - y**4 + (2141*y - 75*y**2 - 2141*y)*(-y**2 + 2*y**2 - 3*y**2).\nAnswer: 148*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23004200 (base 6) to base 4\nAnswer: 2223011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3862 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-24) - -1) + -1. Let o = -1 + -3. Let m be ((-16)\/(-6))\/(24\/o). Which is the nearest to 0.1? (a) s (b) m (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 160103777 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19\/118 (b) -3 (c) 55\/171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*x + 12 = 0, l - 4*x = -9*x - 14. Let z be 13\/l - (-10)\/(-55). List the prime factors of 6*9\/6*z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-3))\/((-6)\/(-27)))\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-18))\/((-1)\/3). Let p = 0.2 + -0.3. Which is the third smallest value? (a) j (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*f**6 + 3821*f**4 - 248*f**3 + 12070096*f**2 wrt f.\nAnswer: 1200*f**3 + 91704*f - 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*x**2 - 7*x**3 + 7*x**3 + x**3 - 8*x**2 wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = 8*k - 23*k + 6*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -52741.\nAnswer: 1\/52741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 91, -2, 4\/5, -3, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 457 - -a23?\nAnswer: 117a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(220) - (sqrt(220) - (sqrt(220) + -1*sqrt(220))*-5 - sqrt(220)))\/(1*(sqrt(11) - (sqrt(891) - sqrt(891)*-2 - sqrt(891)))*2).\nAnswer: -6*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3545309*c**2 + 4*c - 3545310*c**2 - 4*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 982080 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/2)*g)**(2\/55))**(-2\/75) assuming g is positive.\nAnswer: g**(-2\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.9455 + 0.1245. Let d = i + -12.1. Sort 2\/5, d, -1\/7 in decreasing order.\nAnswer: 2\/5, d, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 - 7*p**2 + 3*p + 2*p**2 + 2 + 11*p. Let a be z(14). Solve 2 + a = -u, 5*n = -3*u - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = 15*z + 25. Calculate the remainder when 32 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*o**3 + 122\/3*o - 184\/9 - 20*o**2 = 0 for o.\nAnswer: -92, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 95 = 1685. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3921769mm in micrometers?\nAnswer: 392.1769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m + 5*m + 12*m. Suppose m = 5*b - 25, 8*b - 3*b - 195 = -j. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101010110100111000 + 101?\nAnswer: 1110101010110100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 = 3, -z - y + 5 = 0. Let t be 5 + (3 + 11\/((-44)\/12))*-1. Solve -32\/15*k - 38\/15*k**3 - 14\/15*k**4 - 8\/15 - 10\/3*k**z - 2\/15*k**t = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 17, -101, -267, -481, -743?\nAnswer: -1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 12:36 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 443659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 725 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 713110 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-1)\/3*-354)\/(2\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1, -0.1, -18.9, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2)*x*x)**(-2\/39)*(x**(-3))**(-45))**(-7))**(-21) assuming x is positive.\nAnswer: x**19845","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2. Let i(f) = -f**2. Let o(j) = -19*j**2. Let a(n) = -5*i(n) + o(n). Calculate w(a(y)).\nAnswer: -196*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + (3 - -2) + 2*2. Let y be g\/(-8) + (-39)\/84 + 1. Let k = 2.902 - -0.098. Which is the nearest to -0.2? (a) k (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 - -12343012?\nAnswer: 12342403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-196)\/192 + (2 - 1). Suppose -3*m = 5*r - 6*r - 8, 5*m + r - 24 = 0. Suppose 2*v - 4 = 3*s, 0 = m*s + s + 3*v - 6. Is l smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2982 = -4*h + a, -2*h - 3724 = -7*h + 3*a. Let w(s) = 403*s + 426*s - h*s. Let y(b) = 2*b. Determine w(y(p)).\nAnswer: 166*p","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: -23 + (31 - (-19 + 18 + 7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from zyaakjafzazjzza?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:59 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*t = 42, 4*g - t = 8*g + 27. Let f be g*(-5 + (-27)\/(-6)). Is 1*((f - -211) + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-22 + 76 + 55)*(-5 - 1 + 4) + 1 - 5 + 2)*(-8 + 19*t + 8)*(-3 + 1 + 1).\nAnswer: 4180*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2815046?\nAnswer: 1\/1407523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 11*z**5\/20 - 2*z**3\/3 - 1261*z**2\/2 - 160*z + 3. What is the derivative of l(m) wrt m?\nAnswer: 33*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 1. Let m be p(1). Suppose 4*d - 31 = -m*x + 11, -2*d + 2*x = -30. Suppose 6 = 2*y - d. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642756?\nAnswer: 2, 181, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 106 - 38*l - 50*l - 36*l + 112*l. Let c(d) = 3*d - 26. Let x(f) = -18*c(f) - 4*z(f). What is the derivative of x(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4986294 plus -30032?\nAnswer: -5016326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-3 + (-10)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -47.\nAnswer: 9\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7*n**3 + 6*n**2 - 6*n - 6. Let q(b) = 8 + 4 + b**3 - b - 13 - 2*b**3 + b**2. Give -6*q(w) + x(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - -2 - (-36 + 23 + 44). Put -5, 11, p, 5, -4 in descending order.\nAnswer: 11, 5, -4, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 7 + (-8)\/4. Let y be (-1 - o) + 21\/7. Is 9 a factor of -6*6\/4*y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -8. Calculate the remainder when 27 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -1095?\nAnswer: -1095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2600, -5, -4, 1, 2 in increasing order.\nAnswer: -5, -4, 0, 1, 2, 2600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2. Let r(n) = 269*n. Give r(h(d)).\nAnswer: -538*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 5*a - 2. Let h be (-3 + 0)\/(6\/(-14)). Suppose -19 = h*i + 9. Calculate z(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*r + 78*r + 11*u = 40, 5*r + 16 = 3*r + 3*u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3 + 407*i**2\/2 - 151*i - 101\/2 = 0. Calculate i.\nAnswer: -1\/4, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5\/4 - 85*l**4\/4 - 3905*l**3\/2 + 20885*l**2\/2 + 70209*l\/4 - 369045\/4 = 0.\nAnswer: -59, -3, 3, 5, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1357 and 678362?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + m + 3 = 0, 0 = 2*m + m + 15. Let b = 0 - 0. Suppose 3*x = -3*u - 2*x + 37, -3*u + 2 = -2*x. Put b, u, v in increasing order.\nAnswer: b, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/3 + 86*m**2\/3 - 178*m\/3 + 30 = 0.\nAnswer: -45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/(-19*8\/48)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 + 75. Calculate the lowest common multiple of z and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 38, 5.\nAnswer: 2, 3, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i + 3*i + 11774*i**3 + 12828*i**3 + 9*i.\nAnswer: 24602*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -22. Let x = g - 8.2. Are 0 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2, 0.01, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55795?\nAnswer: 5, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*j - 6 = 0. Suppose j*x = -2*x - 36. Calculate the remainder when 34 is divided by 4\/18 + (-106)\/x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -970 + 23*n**3 - 34*n - 972 + 75*n + 1941 - 41*n.\nAnswer: 23*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/1918 and -39\/2192.\nAnswer: 15344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 7:10 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 50 = 8*w. Solve w*s - 23 = -3*i, -s + 3*i + 3 = 2*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -f + 21*z - 23*z, 2*z = -4*f + 150. Suppose x - 4*x = -18. Suppose -x*i = -i - 475. What is the highest common divisor of i and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112.4 + -0.473685\nAnswer: 111.926315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.92 + -12. Let k = r - 0.42. Let z = 1.902 + 0.098. Sort 1\/5, k, z.\nAnswer: 1\/5, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from kkaz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 548 = -3*i + 2968, -i - 5 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3\/2)*h\/h**(-1\/2))\/(h\/((h*h**1)\/h))**(-50))\/((h\/(h**(-3\/7)\/h)*h**3)\/((h*h**(-1\/2)*h)\/((h*h**2*h)\/h))) assuming h is positive.\nAnswer: h**(-41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 18*a = -140091. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -o - 8, 5*z - 36 - 10 = -o. Suppose -z = -d + 3. Calculate the highest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60120043?\nAnswer: 60120043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (1 + -5))\/1 - -445. Suppose 29*z - 38*z = -h. Calculate the smallest common multiple of 20 and z.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 1:03 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1567 and 454024147.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6*3\/(-12))\/(17\/(-578)) is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 210, -3 in ascending order.\nAnswer: -5, -3, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h**3 - 641*h**2 - 877*h - 14605. Determine x(-127).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2673, 10686, 24041, 42738, 66777?\nAnswer: 96158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 1 + 1 + (y + 3*y - 5*y)*(18 - 8 - 9))*(-y**4 + 0*y + 0*y).\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2*g + 6 = 0, -2*g - 222 + 240 = 3*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 340995 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/15)\/i*i*i*i**(-4)*i)\/(i**4)**24)**(39\/7))**49 assuming i is positive.\nAnswer: i**(-133952\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50734803, -101469604, -152204405, -202939206, -253674007?\nAnswer: -304408808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.67133 * 1.5.\nAnswer: -4.006995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*o - 112*o - 16 + 55 = 0 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 10018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 5:29 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:12 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2. Let n(z) = -786*z - 32. What is n(h(x))?\nAnswer: 786*x**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1145\/(-229) - ((-6)\/9 + 298\/(-3)). Calculate the greatest common factor of w and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-1)\/(4\/(-2))). Let c be 36\/8 + 2\/r. Solve 0 = 3*x - 4*x - 3*i - 9, -12 = c*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -13*b**3 + 3*b**2 - 13*b + 60. Let w be g(7). Is -4341 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25593835 to the nearest integer?\nAnswer: 5059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 210 = 6*y. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a. Let q be i(1). Let h be 84\/(-1854)*32\/(-6). Let n = 2\/103 - h. What is the third biggest value in -5, q, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from rvrvvrvree?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 141.3+-4017\nAnswer: -3875.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10544515, -2 in decreasing order.\nAnswer: 10544515, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 14. Find the first derivative of -5 + 2 - 6*n**a + n**2 + 1 wrt n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*s + 144 wrt s.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2 + 331038*f - 9132179787 = 0.\nAnswer: 55173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4399.93449971 + -4400.4145. Let y = 0.48 + k. Round y to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3 + 18*d**2 - 20*d = 0. What is d?\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 4*f - 16. Let x be l(12). What is the greatest common divisor of x and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -205*p - 397. Let n be j(-2). Solve 812 = n*h + 786 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - -152. Suppose -4*a - 120 + 36 = -o, r = 3*o + 5*a. Suppose 0 = v - 3*y, -4*v - 3*y = y - o. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59.0734107 times -1\nAnswer: 59.0734107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + -4 + 8 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = -5*c - o - 181, -2*o + 2 = -c. Let y = -9 - -18. Solve z + y = -c*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1)*g*(g\/g**(-1\/4))\/g*(g**(1\/3)*g)**(-1\/38) assuming g is positive.\nAnswer: g**(49\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824690417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((4\/8)\/1). Let g be (3\/(-9))\/(x\/10). Sort 0.1, g, 2 in descending order.\nAnswer: 2, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + -0.3. Let s = 50699\/19 + -2667. Let k = 324\/209 - s. What is the nearest to -1 in k, -5, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5 + 1. Let x = 6 - j. Suppose v + 4*g = -0*v + 2, -2*g + 6 = 3*v. Solve -5*r - 5*y + 30 = 0, x*r = -v*y - y + 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 2. Let f be h(6). Suppose 50*z = 64*z + 182. Which is the second smallest value? (a) 1\/5 (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 358878589?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 7*z - 5. Suppose 5*o + f + 2*f = -56, 2*f = 4*o + 36. What is the tens digit of t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10597436 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kdkk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 6*w + 7. Let y be i(-7). Let r = 6 + y. Find the third derivative of 10 - f**2 - 10 - 5*f**r wrt f.\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 215\/516*(-25)\/(375\/(-54)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/81411 or 0?\nAnswer: -4\/81411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554 = 40*m + 566. Let q = 7 + -5. Let x = q + -30. Is m <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.2 - -38. What is the second biggest value in 0, -9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 1\/24*u**4 + 0*u + 0 + 1\/6*u**3 + 2*u**2. Let q be i(-1). Solve 0 = 4*n, q = z + z + 5*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137.1 + -133.1. Which is the closest to 1\/7? (a) 2 (b) h (c) -0.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653*m + 23437 + 4726 = -985*m + 5255 for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -222 and -4469.\nAnswer: 992118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*z, -r = -4*r + 4*z + 4. Let j(v) = 8*v - 50 + 51 - 3*v**2 - v**2 + 9*v. Let p be j(r). Which is the nearest to 2\/5? (a) p (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*p + 1781, h + 3*p - 434 = 4*p. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*o + 1764 + 295 = 1534*o + 784*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17b - 619c?\nAnswer: -6021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15914 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5746 - 5751. What is the nearest to 210 in -3, j, 3\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 2:25 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3719*p + 7990?\nAnswer: -3719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 6 + 16 - 47*h - 2 as y + i*h and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1416*c**6 + 2*c**4 + c**2 - 29*c?\nAnswer: -169920*c**3 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -10. Suppose n + 4*r = o*r + 3, 0 = -2*n - 5*r - 1. What is the first derivative of 0*b**2 + 3*b**n - 4 + 0*b**2 wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1214 and 12879326?\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 2*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/14)\/(f\/f**(-15)) assuming f is positive.\nAnswer: f**(-221\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**6\/630 - u**5\/30 - 3*u**4\/7 + 47*u**3\/2 + 213*u. Let k(x) be the second derivative of t(x). Factor k(f).\nAnswer: 4*(f - 9)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 216675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 7 = -8*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/18*2*3. Let p = n + 4. Suppose g - 89 = -0*g + 4*d, -491 = -5*g - p*d. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28729 is divided by 4266?\nAnswer: 3133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 43*f - 45*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**3\/3 - u**2\/2 + 11*u + 5. Calculate p(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 131 = 81 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**7\/21 - 1259*v**6\/30 - 595*v**4\/6 + 873*v. Find the third derivative of n(z) wrt z.\nAnswer: 120*z**2 - 30216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4224 and -173\/316848.\nAnswer: 27882624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 + 9*h**2 + 5*h. Let b(n) = n - 6. Let x be b(2). Let s be w(x). What are the prime factors of s + 8 + 17 - -3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -189 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from {m: 11, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 10 + 1*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bymayyeabemeqy. Give prob of picking 1 m, 2 b, and 1 e.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k - 36. Suppose k + 16 = 2*t. Let n = t - 10. Calculate the least common multiple of n and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81106, -162178, -243212, -324208?\nAnswer: -405166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44.6 - -85. What is y rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7)*(-5194)\/30422?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55478652 divided by 27739326.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 1783*c - 4119. What is g(2)?\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 726?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -18*d**2 + 1. Let q = -63 - -65. Suppose -q*t - 5*a = -22, -t - 4*a + 13 = -4*t. Calculate w(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**4 - 70*h**3 - 60*h**2 + 70*h + 65 = 0.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - 23 - -40) + 35\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 14*o**2 - 159*o + 2226. Let l be r(14). Solve l = -25*d - 173 - 27 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70*50\/(-201250))\/((-30)\/(-138))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0.05, 1\/3 in descending order.\nAnswer: 1\/3, 0.05, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -0.146 (c) 0.3 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 95200\/462 + (-2)\/33. Calculate the greatest common factor of 10918 and d.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 2)*(-2*r**2 - 8*r**2 - r**2)*(-3*r**2 + 4*r**2 + 0*r**2) - 4*r**4 + 6*r**4 - 3*r**4 as z*r**4 + j*r**2 + a*r + u*r**3 + b and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6. Let g(y) = 1 + c + 4*y**2 + 0. Is g(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460489 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40061 + 412*c - 40061 - 6632*c**2 wrt c.\nAnswer: -13264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/380, 16, 0.4, 2\/9, 4\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 523271 and 5?\nAnswer: 2616355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*o**3*w + 17*o**3 - 34*o**2*w - 18*o with respect to w.\nAnswer: -6*o**3 - 34*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -6 - -6) + 37 + (-12 - 14).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -7*m - 2*m. Suppose a = 21 - 1. Solve -w = -b - m*w - 5, 4*w = 5*b + a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5968484700 rounded to the nearest one million?\nAnswer: 5968000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvjvvvjjvvvvvvvjj. Give prob of picking 1 j and 1 v.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021245829 rounded to 6 decimal places?\nAnswer: -0.002125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 11*b**2 - 21*b - 16. What is y(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/11, -6\/7, 3\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/8)\/n**(1\/6)*n**5\/n**(-2))\/(n\/(n*n\/n**(-2\/7))*n\/(n\/(n*n\/n**(1\/5))))**24 assuming n is positive.\nAnswer: n**(-4943\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 3, 39, -7, 4 in descending order.\nAnswer: 39, 4, 3, -7, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -37 + 36 + 0*u**3 + 25*u**3. Suppose 1 = 4*s - 3. Let d be m(s). What is the highest common divisor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 23*d**2 + 22*d - 161. Determine q(28).\nAnswer: -3465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*c + 296*c - 891*c - 54*c**2 + 300*c.\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*i - 437*i + 876*i - 525*i**2.\nAnswer: -525*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -37*s**3 - 3*s**2 + 13*s - 17. Let f(i) = 18*i**3 + i**2 - 6*i + 8. What is 13*f(n) + 6*w(n)?\nAnswer: 12*n**3 - 5*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*c**3 + 20*c**3 + 6*c**3)*(-1 + 103 + 267 - 19) in the form j + x*c**3 + p*c**2 + g*c and give x.\nAnswer: 6300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 4*c = -17*f + 12, -210*f - 213*f + 5*c + 15 = -419*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*l + 2 - 39*l + 662*l + 30*l + (-3*l + 3*l - l)*(-5 + 3 + 0) + 3 + 2*l - 3 - 2*l - 4 + 4 to z*l + w and give z.\nAnswer: 653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (-56)\/(-196) - (-1 - (-1783)\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by (-3)\/(14\/(-16) + (-5)\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 59. Let v(q) be the second derivative of 3*q**4\/4 - q**3\/6 - 5*q. Calculate the remainder when p is divided by v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-221*u**2 + 461*u**2 + u - 212*u**2)*(u**3 - u**3 + u**3).\nAnswer: 28*u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 196607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 9 = 4*d. Suppose -2*a + d = a. Solve a = -4*f - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4221 + 20952?\nAnswer: 25173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5699*t = -244*t + 123781 - 429261 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96*(900\/(-36))\/(-75).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 3612?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/5)\/y*y)*(y\/(y\/((y\/(y*y*y**(-1\/4)))\/y)))\/y)\/((y\/y**6)\/(y\/y**4*y)) assuming y is positive.\nAnswer: y**(33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3170, -6339, -9510, -12683, -15858, -19035?\nAnswer: -22214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.2, -0.5, 0.4, 3, -32854?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*w - 8, -16 = -0*h - 4*h - w. Suppose -6*n + 8 = -h*n. Let c(s) = -4*s + 16*s**2 - 15*s**2 + 2 + 0*s**2. Calculate c(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 10 - 19 + 3*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 6*w**2 + 6*w + 2. Let i be y(5). Let q = i + -3. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2857 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245009471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -47*z**2 - 19*z - 27. Let p(v) = 71*v**2 + 29*v + 41. Let w(j) = -8*c(j) - 5*p(j). Is w(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 42*u**2 - 79*u - 123. Calculate the remainder when b(44) is divided by 50.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1652 = u, 0*s - 3*s - 3*u = -4986. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 25 = 0, -3*z + 3 = 2*p + 4. Let c be (z\/27 + -1)*42\/(-28). Let 0 - 2*d**2 + 2\/3*d**3 + c*d = 0. Calculate d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2375 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 43, 100, 203, 364, 595?\n\"Answer: 2*k**3 + 5*k**2 - 6*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9*k**4 + 11*k**3 + 11*k**2 + 94. Let r(u) = -2*u**4 + 2*u**3 + 2*u**2 + 19. Let g(p) = -11*r(p) + 2*w(p). Differentiate g(v) wrt v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.515 - 2.615. Let u be (4\/30)\/(6\/9). Which is the smallest value? (a) 1 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 14)\/(2 + -3). Suppose -11*t + 30 = 8. Let d be 4\/(-3 + 11)*468\/t. What is the greatest common factor of f and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 124. Let w be v(0). Suppose 0 = 4*t + 4*k + w, -k = t - 3*k + 34. Let u = -28 - t. Solve 2*n + u = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193650 and 938100?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155\/219 + -3\/73. Let p(y) = -y**3 + 15*y**2 - 13*y - 14. Let o be p(14). Let 2\/3*z - v*z**2 + o = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 730826 divided by -15?\nAnswer: -730826\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*s**2 + 27*s**2 + 3*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-2))\/(15\/70). Suppose z - 3 = t. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.8114 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22801, 22806, 22811, 22816?\nAnswer: 22821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 323\/19531 or 1?\nAnswer: 323\/19531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -162, -230, -300, -372, -446?\n\"Answer: -u**2 - 65*u - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + (sqrt(300) - sqrt(300)*-2*-3) - (2*sqrt(300) + 5))**2.\nAnswer: 600*sqrt(3) + 10825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 4:51 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -11.52. Let g = t - 0.736. Let h = g - -0.26. Round h to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 2\/3, -5 in ascending order.\nAnswer: -5, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*v - 27. Suppose 2*r - 40 = v*r. What is the common denominator of 54\/5 and (2 + (-81)\/r)*-1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3566771.\nAnswer: 13, 23, 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1730 and 1721350.\nAnswer: 1721350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -119 (b) 5 (c) 1\/6 (d) -0.2 (e) 0.46 (f) -2\/3 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (180*h**2 - 365*h**2 + 21 + 184*h**2)*(-4 + 1 - 2) + (3*h + 4*h - 6*h)*(3*h + 2*h - 3*h) - h**2 + 3*h**2 - h**2 as m + u*h + z*h**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -407*g + 256 - g**2 - 182 + 147*g + 116*g + 983 = 0. Calculate g.\nAnswer: -151, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 5, -1, -6, -2, -3 in increasing order.\nAnswer: -29, -6, -3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*f - 7682 + 5966 = 9198. Solve -13*n + f = 3 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 10. Suppose -5*c = -5*y, 5*y - 3*c + 1 = l. Suppose -4*z + y*b + 87 = 21, b - 39 = -2*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Suppose v + v - 14 = w. Suppose 3*b + 15 = 3*q, -v - 18 = -q - 3*b. What is the remainder when 39 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + t - 1. Let i(c) = -c**3 + 2*c**2 + 2*c - 2. What is 3*i(v) - 6*m(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*k - 9. Suppose 5*r + 0 - k = 4*q, -5*r = -2*q + 1. Let p = 0 + -3. Put p, r, -5 in decreasing order.\nAnswer: r, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -1659 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 2)*(-77)\/4. Let i = -32 + b. What is the greatest common divisor of 30 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f - 1. Let t be i(-1). Suppose -2*b + 6 = t*p, 4 + 1 = 5*b. Is (p + 20)*34\/6 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 9 = 11*b - 99 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8120 divided by 40?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384 divided by -3.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10654890 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (6*-3)\/3. Let a be (-88)\/(-14) - u\/28. Let q be 32\/a + (-4)\/12. Calculate the greatest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrryyfyyy. What is prob of picking 1 y and 1 r?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 at least as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2150583.\nAnswer: 3, 716861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + sqrt(468) + 1) + 0)*4.\nAnswer: -24*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + ((2 - 2) + -6 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 14 = -2*a. Let u = a - -7. Let q = -1639 + 1709. What is the greatest common factor of q and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 760 divide 7315760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 >= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 6*x**2 + 1. Let z be u(6). Suppose -a + z + 5 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 170492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*d + d + 168. Let a be (-10)\/d*-3*-20 + 0. Sort -2\/3, -5, a in descending order.\nAnswer: a, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = -2*y + 12*y. Suppose -3*s = 2*s + y, 5*s = q - 27. Factor -6\/5 - 9\/5*j + 3\/5*j**3 + 0*j**q.\nAnswer: 3*(j - 2)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - n + 52 + 2*n + 21*n**2.\nAnswer: 21*n**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 6198*q - 2457922. Calculate h(374).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -243420?\nAnswer: -243422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248935843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-5))\/(p\/p**(1\/6))*(p**(-2)*p)**(-42))**(-28))**(-45) assuming p is positive.\nAnswer: p**59430","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.3 + 3. Which is the biggest value? (a) 0 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o. Let k(b) = -117*b**2 + b - 2. Calculate h(k(f)).\nAnswer: 234*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10*q**3 - 2*q**2 + 3*q + 3. Let w(l) = 11*l**3 + 2*l**2 - 4*l - 4. Let r(a) = -4*p(a) - 3*w(a). What is the third derivative of r(g) wrt g?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294197 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8355 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -1\/42*v**4 + 0*v**5 - 1\/21*v**3 + 0*v + 16*v**2 + 1\/735*v**7 + 1\/210*v**6 + 0. Find l, given that u(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3 (b) 0.1 (c) 28\/45 (d) 0.09 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**2 + 8*v - 6. Let q be u(-4). Let s = 9 - 5. Solve 0 = -q*d + 2*d + s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 4.36, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a8c (base 13) in base 6?\nAnswer: 225422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -16. Let l be u + 5 + -2 - -1. Solve 0 = -4*i - 4*y + 16, i - y = -l*y - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:57 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000196195 to 7 decimal places.\nAnswer: 0.0000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - 107812?\nAnswer: -107804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19126, -153053, -516568, -1224463, -2391530?\nAnswer: -4132561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -345.3.\nAnswer: -345.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugkugkgggkkguggu. Give prob of picking 1 k and 1 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 2 - -4 - (7 + 4)) + (1235 - 1249).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1248 and 1080?\nAnswer: 56160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0438 rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 2*o - 1. Let q be z(-1). Let x = 1.33 - 1.69. Let h = x + -1.64. What is the nearest to 1 in h, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1141125*-8\nAnswer: 9129000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**4\/84 - 32*o**3\/21 + 40*o + 2. Let l(b) = 0. Calculate b.\nAnswer: -64, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 26 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 933.77898801833 plus -0.5?\nAnswer: 933.27898801833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 51 from -53.3.\nAnswer: -104.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.9723 - -15.629.\nAnswer: 33.6013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 59\/160 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -8*p - 48 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u. Let n(k) = -70694309*k. Give n(h(o)).\nAnswer: -494860163*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/5, 1\/3, -9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 40 = -6*z. Let s(d) = 2*d - 13. Does 4 divide s(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + 44*p - 11 - 21 - p**2 as g*p**2 + r*p + d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 7 in decreasing order.\nAnswer: 7, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 4 = 4*r. Solve -m - 4*m = -v, -r*v + 3*m + 7 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254305?\nAnswer: 5, 181, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/75)\/(6\/(-5)). What is the smallest value in -0.6, o, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2. Let y(w) be the third derivative of -5*w**4\/24 + 2*w**2. Determine y(x(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.04 rounded to 0 dps?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 12 + 28 = 0. Calculate the remainder when -8 - (-12 - 708)\/12 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -436, -708, -1044, -1462, -1980?\nAnswer: -2616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2089 (b) 1\/8 (c) 4 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3056 + 5512 = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(891) + 0) + 3 + -1*sqrt(891))**2.\nAnswer: -324*sqrt(11) + 32085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11994 + -11989. What is the biggest value in d, -0.01, 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009121726 rounded to 5 dps?\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -258226*c - 3 - 114277*c - 9. Let d be t(-4). Round d to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(1\/2 + 1) - -8. Let n be y\/6 - (-25)\/(-30). What is the third smallest value in n, 0, 1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 12*v = 7*v - 20, 3*q + 4*v + 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**9\/3024 - n**6\/120 + n**3\/6 + n. Let z(k) be the second derivative of y(k). Find the third derivative of z(l) wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 1)**2 + sqrt(171) + (sqrt(2736) + -2)**2 + 0.\nAnswer: -39*sqrt(19) + 2912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4936 = -3*y, -x - 4138 + 12343 = 5*y. Suppose 0 = 4*m + 2*f - y, 0 = 3*m - 4*f + 2*f - 1249. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1711731, -1711729, -1711727, -1711725, -1711723, -1711721?\nAnswer: -1711719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u - 3. Let a be v(2). Let j = -4 + 8. Suppose -67 = -a*f + j*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23063 - -1571?\nAnswer: 24634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118.5008 millilitres to litres.\nAnswer: 0.1185008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 696. Let u be m(0). Suppose -3*y - 4*d + 69 = 17, y - 2*d = 4. Suppose -8*t = -y*t + u. What are the prime factors of t?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwnddup. Give prob of picking 1 p, 1 w, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.7, 3\/4, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*z - 190 = -83*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00032001368 to seven decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 10899.391 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(56\/(-3)))\/((-21 + 27)*(-10)\/(-48)).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640*q + 638*q + 2*x + 1026 = 0, -3*q - 5*x + 1491 = 0. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2783\/198 + -14)\/(1323\/66 + -20).\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 + 191. Let j be -3272*(r\/36 + -3). Let d = -182 - j. Which is the closest to 1\/2? (a) -1 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -5*m - 5*x + 40, 0 = -5*m - 3*x + 8. Suppose -3*y - y + 16 = 0. Suppose -13 = r + m*b, -9*r = -y*r - b - 40. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 2, -0.3, -0.005, -4, 317?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (6 + (-20)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**5\/60 - 11*o**4\/24 + 9*o**3\/2 - 9*o**2. List the prime factors of w(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 188 + -186. Factor 0*v**s + 0 + 2\/7*v**3 - 2\/7*v.\nAnswer: 2*v*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2215 divided by -4?\nAnswer: -2215\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g + 6*g + 1993210 = -15*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 124, -136, 5, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.29 + 0.01. Let b = 4 + -3. Let f = 1889\/3165 + 2\/633. Sort p, f, b in increasing order.\nAnswer: p, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/7 + 22398118*b**2\/7 - 62709450043680*b\/7 - 62709472441800\/7.\nAnswer: -2*(b - 5599530)**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-14)\/28*-2*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174*b**2 + 562*b**3 - 68*b**3 - 241*b**2 wrt b?\nAnswer: 2964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 635418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*b*f**2 - b*f + 12*b*y - 5*f**2*y*z + 2*f**2*y + f + y*z wrt f.\nAnswer: -28*b - 10*y*z + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -10*j**5 + 766*j**4 - 8426*j**3 + 23522*j**2 - 22764*j + 6912 = 0.\nAnswer: 3\/5, 1, 2, 9, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -563, -1126, -1689, -2252?\n\"Answer: -563*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -49, 4 in ascending order.\nAnswer: -49, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21235177 and 1065.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 0.2 (c) -4\/7 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 729427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 155*h**3 + 30*h - 5. Let p(v) = -154*v**3 - 36*v + 6. What is 6*a(m) + 5*p(m)?\nAnswer: 160*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 - 5 = 0. Suppose f - 4 = -4*d, 0*d - o*f = 3*d + 10. Let i = 61\/5 - 12. Which is the third smallest value? (a) i (b) -1\/11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 u, and 1 j when three letters picked without replacement from juccbbjujjjcwjujujcj.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 21*z - 96. Let j be g(-25). Suppose -5*x + 2*t + 23509 = 0, 9*t - 23530 = -5*x + j*t. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1310.9 and -0.5.\nAnswer: -655.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + b + 2*b = -4133, -m - 4*b + 2094 = 0. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 6c534?\nAnswer: -6c531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -38, -84, -148?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16031242 to the nearest integer?\nAnswer: 4004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 162, 157, 152, 147, 142?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(-3*6\/144).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2332025\/33474 - 1\/11158. Let o = q - 69. Which is the third biggest value? (a) o (b) 1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1224 = -13*t - 1146. Solve 25 = 2*w - 5*u + t, 5*w = 3*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 3*n + 3. Suppose 0*x + 6 = 3*x. Let b(i) = 6 + i**x - 10 + 2*i**2 - 4*i. What is -3*b(f) - 4*q(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2162*i**2 - 207. Let s(k) = -23*k**2 + 2. Let j(p) = 24*p**2 - 2. Let l(t) = -2*j(t) - 3*s(t). What is -2*a(b) + 207*l(b)?\nAnswer: 23*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49595523.\nAnswer: 3, 16531841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (37 + -50 - 16) + -13\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/704 and -111\/224?\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**6 - 2638*v**4 + 118312*v**2.\nAnswer: -120*v**3 - 63312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 41 = 3*d - 25, 0 = -2*d - 2*x - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4259, -4261, -4263, -4265, -4267?\nAnswer: -4269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-10) + (-18)\/30. Let r(v) = v**2 + 5 + 5 - 4*v - 4. Is r(d) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/80*(6 - 16).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180 (base 16) to base 10.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 34, 3\/2, 0.11, 5 in decreasing order.\nAnswer: 34, 5, 3\/2, 2\/7, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 7. Let o(a) = -a + 7. Let k be o(q). Suppose -k*g + 3*x + 18 + 9 = 0, -x + 24 = 2*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 86 = 3*o. Let l = o - 26. What is the highest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -221\/2, -11?\nAnswer: -221\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 275 - 180. What are the prime factors of h?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + -1.2. Let f = -0.1 - 0.12. Let l = f + -0.08. Which is the nearest to j? (a) 2\/7 (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a*a*a**(1\/8)*a*a**(-2\/11)\/a)**(2\/15) assuming a is positive.\nAnswer: a**(29\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 2*a + 0*a**2 + 0*a**5 + 0*a**6 + 1\/14*a**7 + 0 + 0*a**4 - 1\/6*a**3. What is the second derivative of o(q) wrt q?\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16167 rounded to three decimal places?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 2*s - 7, -2 = -0*x - x + s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176818 + 176816.69989. Let k = t - -1.3. What is k rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5*w**3 + 3*w**3 - w**3)*(-2*w**2 - 1 + 1) + 24*w**5 + 0*w**5 + 59*w**5 - 2*w**5 + 7*w**5 - 2*w**5.\nAnswer: 92*w**5 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = -8. Let u(y) = 56*y**3 - y**2 + 1. Let b be 2 - (3 - 2) - 0. Let g be u(b). Calculate the highest common factor of x and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/(sqrt(4)*-1))\/((sqrt(320) - (sqrt(320) + (-1*sqrt(320) - sqrt(320)))) + sqrt(320)))**2 + -5 + -5 + sqrt(20)\/sqrt(4) + -3.\nAnswer: -7483\/576 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-75)*2\/(-2)*(-252)\/144)\/14?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91810984?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11957 or 52.2?\nAnswer: -11957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373724671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4912*y + 24094 + 16922 + 32664 = 0 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2) + 1 + -6 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 n, and 1 k when three letters picked without replacement from {t: 6, i: 4, k: 1, n: 1, o: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790*c + 212 = -684*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24cb86 (base 16) to base 13\nAnswer: -665782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -4052214?\nAnswer: 4052205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(-570))\/(3\/(-3)*11\/(-33))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 12. Let l be i(0). Let t be ((-8)\/l)\/((-2)\/(-12)). Let b be (-2)\/t - (-5)\/(-10). Solve b = 4*m + 19 - 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825270353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 9*g - 7. Let c be d(-6). Suppose 4 - 5 = -f, -2*v - 5*f = -c. Suppose -4*q + v*q = 0. Solve 3*b - u + q*u - 7 = 0, 0 = 3*b + 4*u + 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2))\/s)\/(s**(-5)*s))**(-32)\/((s\/s**6*s)\/(s\/(s\/(s**6*s)*s)*s))**26 assuming s is positive.\nAnswer: s**222","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-164 + 173 - 132) + 4 + -5 + 15 + -1.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 10. Let j(x) = -x**3 + 5*x**2 - x - 4. Let v be j(3). Suppose w - z = -w + v, 5*z + 20 = 3*w. Solve -g = -w*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20, 43, 82, 143, 232, 355, 518, 727?\n\"Answer: n**3 + 2*n**2 + 10*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j*k**3 + 260*j*k**2 + 320*j*k + 2*j + 68*k**3 - k**2 + 42*k wrt k?\nAnswer: -6*j*k + 520*j + 408*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 + 4692*u**3 + 9393*u**2 + 4698*u.\nAnswer: -3*u*(u - 1566)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Let p(h) = h**3 + 3. Let q be p(0). Suppose 28 = 3*j + 4*x, q*j + j - 54 = -l*x. Solve -15 = 2*t - 5*a, t + 4*a + j = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94702173 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**8\/84 + 2*y**7\/105 - y**6\/30 - y**5\/15 + 7*y**2\/2 + 5*y. Let b(h) be the first derivative of n(h). Factor b(s).\nAnswer: 4*s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 116 = -16*l. Suppose l*h - 589 = -o, -6*o + o + 2945 = 2*h. What is the greatest common factor of o and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2549 less than or equal to -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - 15*d + 19. Let o(q) = 3*q**2 - 23*q + 29. Let c(h) = 7*i(h) - 5*o(h). Let z be c(8). Let l(t) = t - 2*t + 1 + z*t + 0*t. What is l(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.872 + -2.82. Let z = -0.0520405 + d. What is z rounded to six decimal places?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -102, -340 in ascending order.\nAnswer: -340, -102, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(5\/9)\/u)\/u)\/(u\/u**(-6)))\/(((u*(u**(4\/15)*u*u)\/u)\/u*u)\/u**13))**(1\/42) assuming u is positive.\nAnswer: u**(103\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-232)\/(-12) - -5*(-9)\/(-27). Calculate the greatest common divisor of 203 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -11\/7, -3, 4?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*p**2 + 12*p**2 - 101*p**2 - 105*p**2 to the form z*p**2 + c*p + o and give z.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24391990 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s + 36. Which is greater: s or 17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397482448733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4 = -3*a, 0 = -2*a + 5*j + 13 + 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31b8b - -2?\nAnswer: -31b89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2676916 is divided by 14391?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6202 + 8675?\nAnswer: 2473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-7) + 2\/7. Let y(w) = w**3 + 21*w**2 + 70*w + 54. Let b be y(-17). Suppose -3*u - p - s = -8*u, -u + b = -5*p. Solve -5*j = -u*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5748673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 311433 and -0.035?\nAnswer: 311433.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 155. Suppose -3*i = 6*i - z. Find the second derivative of 3*c**2 - 21*c + 18*c + i*c wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*q - 5371 = 0, 0 = 2*v - 5*q + q - 2126. Let g be (-490)\/v - 2\/(-9). Let o(d) = d**2 - 4*d + 2. Let i be o(3). Which is bigger: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -910 - -1429. Suppose o = 3*b + 99. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Suppose -5 = -d + 5*x, 15 = r*d + 4*x - 2*x. Let j(z) = z**3 - 4*z**2 - 6*z + 7. Let l be j(d). Solve -3 = q + l*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -238, 5, 1\/3 in ascending order.\nAnswer: -238, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 - 46*i**2 - 30*i. Calculate g(14).\nAnswer: 1540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 5*q**4\/12 + 980*q - 2. Let n(h) = 25*h. Let l(i) = -2*i. Let m(r) = 40*l(r) + 3*n(r). Calculate m(o(g)).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 12*j**2 + 6*j + 281. Give q(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29023 + -105.3.\nAnswer: 28917.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(425))**2*3 - -3*sqrt(425)*2)*5.\nAnswer: 150*sqrt(17) + 6370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 5 - 131. Solve l + 8 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 28*c**3 + 77 - 2*c**2 + 30*c**3 + 11 - 11 - 2*c**3 + (-c**2 + 5*c**2 - 3*c**2)*(2*c - 2*c + c).\nAnswer: c**3 - 2*c**2 + 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:00 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 124 or 3974?\nAnswer: 3974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((398544\/(-1615))\/(-24) - (-7 - (-468)\/68))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -20, 4, 64, 172, 340?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 16. Calculate the least common multiple of 1 and x(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.314503 + -0.06459437.\nAnswer: 0.24990863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -162, -258, -354, -450, -546?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(100)\/((sqrt(40)\/sqrt(4) + sqrt(10))*-4))\/(sqrt(128) + (sqrt(128) - -2*sqrt(128) - sqrt(128)) + sqrt(2) - 4*sqrt(18)).\nAnswer: -2 - sqrt(5)\/104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 577*f - 21 + 369*f - 9706*f + 21 in the form b + i*f and give i.\nAnswer: -8760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3567652 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 6:30 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -6. Let x = 0 + k. Let u = x + -0.9999993. Round u to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 56432 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-6*sqrt(76)\/sqrt(4)*-4*-2 - (sqrt(1539)*1 + 0 - (2*sqrt(1539)*2 - sqrt(1539)))))**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -661228 or -3306142\/5?\nAnswer: -661228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -32. Suppose 3*t = -5*w + 2, 5*t - 4*w = -8*w + c. Let h = 2 + 3. Solve h*s = 29 - t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/6 in -1\/5, 3, 5, -0.02, -2\/11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h - 2. Let k be q(-2). Let r(l) = 2 - 19 - 3*l + 2*l + 25. Give r(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - -75 - (720 + -715).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u = 0. What is the derivative of 2*k**3 + u + 0*k**3 - 2 + 5 wrt k?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - -83) + -81 + (-1 - -14).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -97.3 in -1, -5, -0.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 - 26 = -12*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5211 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/8 + 25*h**4\/8 + 125*h**3\/4 + 625*h**2\/4 + 3125*h\/8 + 3125\/8 = 0. Calculate h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5540 (base 7) in base 16?\nAnswer: 7c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 342, 687, 1032, 1377, 1722?\n\"Answer: 345*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 200100112 (base 3) in base 14?\nAnswer: 4c39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 585390630 divided by -195130210\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 228*g - 33. Let p(h) = -92*h + 13. Determine 5*c(o) + 12*p(o).\nAnswer: 36*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 19136*j + 2487682. Determine a(-130).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*u**2 + 20*u**2 + 20*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 249*c**2 - 44 - 169*c**2 - 49.\nAnswer: -418*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1323*q + 2657. Give h(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1274 and 29\/20.\nAnswer: 12740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 d when three letters picked without replacement from {k: 6, d: 4, e: 7}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 4:16 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3561*m**2 + 93*m**3 + 3561*m**2 + (0 + m + 0)*(5*m + m**2 - 5*m) - 5*m**3 + 2*m**3 + 5*m**3 to a*m + i*m**3 + r*m**2 + p and give i.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 21. Suppose a = g*a - 100. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (132\/(-9))\/(6\/9). Let i(o) = -6*o - 59. Let t(h) = -h + 1. Let k(a) = i(a) - 3*t(a). Let r be k(x). Solve r*q = -b + 18, -5*q + 5 = -b - 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence feee when four letters picked without replacement from nndefnffnfd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*c**3 + 111*c**3 - 117*c**3 - 346*c**3 + 120*c**3.\nAnswer: -552*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - j**3 + j**3 + (4*j**2 - 7*j**2 - 8*j**2)*(3*j - j + 0*j).\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246 and 9758.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, u: 3, s: 9}. Give prob of sequence us.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 81*o + 222*o + 1941*o)*(-5 + 2 + 2)*(-1 - 1 + 0) as v + w*o and give w.\nAnswer: 4164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9442 = 2*c + 8*o, 5*o + 18784 = -4*c + 9*o. Round c to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 14*n + 5*m = 60, 0 = 4*n + 5*m - 18 - 27 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -26.551 (b) -301 (c) -2 (d) 0.4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqooqovvvqqoqooqv. Give prob of picking 2 q and 1 o.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 2*g**7\/35 + 3*g**5\/20 + 9*g**2. What is the third derivative of q(v) wrt v?\nAnswer: 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 14677605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5934?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10003, 9567, 9151, 8755?\n\"Answer: 10*t**2 - 466*t + 10459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:54 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1021202002 (base 3) to base 14\nAnswer: -9332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**9\/7560 - w**6\/120 + w**4\/4 + 14*w. Let i(u) be the third derivative of x(u). Find the second derivative of i(m) wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2753 + 5222. Let n = -1414 + x. Suppose 4*k + k - n = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3341044 + 33?\nAnswer: 3341132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 15 + 10 = 0. Let r(j) be the second derivative of -j**4\/6 + 14*j**3\/3 - 6*j**2 - 10*j. Calculate the remainder when r(13) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 7*s**2 - 2*s + 2. Let v(d) = d + 3*d + 3 - 2*d. Let q be v(-5). Does 8 divide k(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/3, -2705.4, 0.2, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 134510000 rounded to the nearest one million?\nAnswer: 135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2018 = -5*d + u, -2*d = -3*u - 792. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158548083 to the nearest integer?\nAnswer: 12592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 12*s - 11. Let b be d(13). Solve -4*t = -4*o + 2*o - 28, b*o + 33 = 5*t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 1\/5, 2, -5.6, 1 in descending order.\nAnswer: 2, 1, 1\/5, -3\/7, -5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/((-189)\/735*-7)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*z - 99. Let j = 4055 - 3992. What is the remainder when j is divided by z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o + 0*o)*(-13 + 5 - 4)*(-3 + 4 - 2)*(96 - 211 - 99)*(-2 + 2 + 2).\nAnswer: -10272*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**3 + r - 14*r**3 + r + 0*r.\nAnswer: r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -12*g + 7. Let j(i) = -4*i + 2. Let l(r) = -7*j(r) + 2*m(r). Let s(f) = 2*f. Give s(l(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 7, c: 9}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0918733 and 4644814.\nAnswer: 4644813.9081267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 469.8 to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 37 + 56. Let m = g + -88. Calculate the highest common divisor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2204112 - 5?\nAnswer: -2204121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -782*c**2 - 2691. Let r(z) = -15*z**2 - 52. Let u(y) = 4*a(y) - 207*r(y). Let g(x) = 158*x**2. Give g(u(s)).\nAnswer: 83582*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -1098, -3777, -8996, -17601, -30438, -48353?\nAnswer: -72192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - 8*p - 7. Let q be w(5). Let m = q + -17. Calculate the remainder when 86 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 233780308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-2\/5))\/d)**16)**(1\/10) assuming d is positive.\nAnswer: d**(24\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 10*w - 3. Let l(a) = -a**2 + 11*a + 2. Determine 6*l(m) + 4*y(m).\nAnswer: 2*m**2 + 26*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, -15.7, -3, -3\/2?\nAnswer: -15.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**3 + 16*f**2 - 3*f + 46. Let k(d) = 16*d**3 - 35*d**2 + 7*d - 91. What is -3*k(g) - 7*x(g)?\nAnswer: g**3 - 7*g**2 - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1260540 and 6742.\nAnswer: -1253798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((249872\/(-483))\/(-194))\/(-2*(-1)\/(-36)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 177849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.04849.\nAnswer: -0.19396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2259\/(-4518)*13\/(65\/930).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/682879?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n**2 + 2*n. What is a(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1335*-12338.\nAnswer: 16471230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*a + 7, -4*a + 3 = -m - 7*a. Let j = 10 - m. Let l be (35\/(-7))\/(-1 + 0). Sort l, j, 4 in decreasing order.\nAnswer: l, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111000101101 (base 2) to base 9.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 4 = 49. Factor -42*q**3 - 3*q**5 + 82*q**4 - 70*q**4 + 33*q**h.\nAnswer: -3*q**3*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 545 + -565 - ((-2 - -3) + -18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2431146667.\nAnswer: 23, 73, 1447973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 10. Which is the biggest value? (a) -2\/9 (b) 0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0125 equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-95)\/(-57) - 2\/(-6). Solve 0 = m*q + 4 - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 494*b + 102239. Determine s(-207).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = u - 139*s + 136*s, 4*u = 4*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 2*v. Let l = -4\/3 + 2. Which is smaller: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -5. Let v = 2 + r. Solve -v = 3*c + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 54*j - 56*j + 11, 2 = 2*l + j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = x + 2, 0 = 5*x - 2*x + 3*w - 292 + 262 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**5\/75 + k**4\/15 + 2*k**3\/15 - k**2. Solve y(z) = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from kskskkkkssks?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 - 2164*b - 4319. Calculate w(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + k**3 + k**3)*(43 + 173 + 520).\nAnswer: -736*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1998994 divided by -5\nAnswer: 1998994\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j - 174 = -2*j + 5*j. Sort -369, 5, j in ascending order.\nAnswer: -369, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from okjgglli?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-36)*13*(-20)\/(-1300)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a78 - b0?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0792+-4455\nAnswer: -4454.9208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 55918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) -263 (c) 4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*g + 765 = 780, -14 = -2*g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/17176 and 53\/24.\nAnswer: 51528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.01508894*0.1\nAnswer: -0.001508894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 581 and 2821.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98455043 to the power of 1\/2, to the nearest integer?\nAnswer: 9922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16474 - -16474. Let v(d) be the first derivative of 1\/2*d**2 + k*d - 11. What is v(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*4*2\/(-20). Let s = 0.119 - 0.119. What is the third smallest value in 2, s, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -549.\nAnswer: -164.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7529187949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 10*w - 12. Determine t(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/1 - -2)\/1. Suppose -5*y - 10 = -w*y. Is 27*y*(-2)\/3 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwwdnwwan. What is prob of picking 1 a, 1 n, and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*i - 51, -4*i + 0*i - 4*p = 36. Let r be (-28)\/i*(1585 + -1). Suppose -1060 - r = -4*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 4. Let w = -20.003 + c. What is w rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/45 + 16386\/90 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 46*m - 53*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - g - 15 = 0, -2*g + 6 = -7*o + 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95.3*-0.1.\nAnswer: 9.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 950020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 46. Sort 4, 1, t in increasing order.\nAnswer: t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264, 275, 294, 321, 356?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2172107, -2172109, -2172111, -2172113?\n\"Answer: -2*y - 2172105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 12 = -s. Let c be -6 + ((-2)\/2)\/(-1). Let k(p) = -p**3 - 4*p**2 + 5*p + 2. Let n be k(c). Solve -3 = -n*f - x, 5*f + s*x - x = 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -242 and 15.7.\nAnswer: -3799.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1064 and 31755346?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340762 take away 84682?\nAnswer: -2425444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77\/39 - -30\/13. Let i(y) be the third derivative of l*y**3 + 1\/24*y**4 + 0 - 1\/60*y**5 + y**2 + 0*y. Factor i(r).\nAnswer: -(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.96 - -1.56. Sort -18, -4, k, -0.5 in descending order.\nAnswer: k, -0.5, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 8*b - 114, 152*b - 20 = -5*d + 154*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 9*c**2 + 5*c - 22. Let f be a(-8). Does 11 divide 7\/((-49)\/f)*-826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931206457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2459 or 8342?\nAnswer: 2459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.1. Let d = 5.3 - 0.3. Suppose h + 4 = -h. What is the nearest to q in 3, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42391817, 42391812, 42391807, 42391802, 42391797, 42391792?\n\"Answer: -5*s + 42391822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 5 - 9 - 4 - 5*i.\nAnswer: -5*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i + 60 + 30. Let p = 20 + i. Let m = 86 - 79. What is the smallest common multiple of p and m?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*j**5\/7 + 13126*j**4\/7 + 7357216*j**3\/7 + 194175256*j**2\/7 + 298373760*j\/7 - 121305600\/7 = 0. What is j?\nAnswer: -1080, -26, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2434 + 5169 - 9 - 1019)*(-3*z**3 - 2*z**3 + 4*z**3).\nAnswer: -6575*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 120915918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107*i**4 + 9776*i**3 - 7576*i**2 - 165*i.\nAnswer: -2568*i + 58656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700 + 565 = -15*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22374, 22347, 22326, 22311, 22302, 22299, 22302?\n\"Answer: 3*r**2 - 36*r + 22407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-44)\/(-12) + 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -34*l + 6. What is the units digit of a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 19*k**2 + 23*k - 60. Let j(x) = 4*x**2 - 8*x - 12. Let l be j(-2). Let y be r(l). Solve -4*a = -2*s + 11 + 19, y = 5*s + 5*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 - 219. What is the second biggest value in -3, 2, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-13 - -49 - 45).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8115 - 8115 + 5543*z in the form r + v*z and give v.\nAnswer: 5543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -295*m - 2. Let k(d) = -590*d - 4. Let v(l) = 7*g(l) - 4*k(l). Let z(s) = -4*s**2 - 65*s - 13. Let o be z(-16). Is v(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16.7, -2\/9, -2, -16\/7, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h + 4*h**2 - 5*h**2 - 2*h. Let p(g) be the first derivative of -21*g**2\/2 - 52. Give p(i(o)).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384503?\nAnswer: 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 234 + -234. Which is bigger: h or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.49771 - -1.50229. Let z = -1\/13 - -31\/65. Which is the closest to 9? (a) h (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 314030205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 6. Suppose 66 = 2*s + 58. Suppose -2*v - 6 = -d, 4*d - s*v + 1 = 13. What is w(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 + 2*t - 3. Let w(x) = -x**2 - 1. Let q = -2 - 0. Let k be (6\/(-4))\/(-3)*q. Determine k*b(f) + 2*w(f).\nAnswer: f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjx when three letters picked without replacement from {j: 2, x: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2432*b + 4*z + 12 = 2436*b, 0 = -4*b - z - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 115*n + 121770 = 0. What is the greatest common divisor of 33 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 14.04 (b) 1.2 (c) -2\/9 (d) -4 (e) 0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4737 = 3*v - 4767 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -29 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*m + 15, 0 = -m - 5*k - 9 + 12. Solve m*g = -3*u + 9, -5*u + 4*g - 12 = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23976 divided by 5994.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v**3 + 2*v**2 + v. Suppose 2*l + k = 5*k, -5*l = 4*k - 42. Let x be 6\/4*l\/(-9). What is the units digit of f(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848690.4m in micrometers?\nAnswer: 848690400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(42)*-2)\/(sqrt(6) + (sqrt(216)*1 - sqrt(216))).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10828 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-27)\/162 + 50\/156)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36118451 + 0?\nAnswer: -36118451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - -1. Let l = 0.14 + 0.36. Which is the closest to x? (a) l (b) 0.1 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s + 7*s - 2314 + 6670 = 84*s. Suppose 2*h = 2*v + 3*v + 166, 358 = 4*h + 3*v. Calculate the highest common factor of s and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*h - 4, -5*c + 4*h + 16 = -22. Let v = -6 + c. Let u(t) = -1. Let f(k) = -k + 4. What is v*u(m) + f(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**2 - 7*k**2 - 4*k**2 + 7*k wrt k?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Suppose r*g = -g + 42. 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 (-60 + 59 + -31 - 80) + 41?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3978447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 16*f**2 - 12*f - 20. Let q be j(15). Suppose -h = -2*h + q. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1273*i**3 + 4245*i**2 + 2658518 with respect to i.\nAnswer: 3819*i**2 + 8490*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134.53 - 133. Let p = 3.47 + c. Put 4, 2, p, 0 in descending order.\nAnswer: p, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -21. Let h be (7*(-6)\/(-84))\/((-6)\/(-158)). Let q = -44\/3 + h. What is the smallest value in 2, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51\/7 + 221\/14. Let x = -163 + 323. Calculate the common denominator of ((-75)\/x)\/(2\/(-8)) and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 - 1 + 6*p - 7 - 32 - 201*p**2 to the form r*p + b + a*p**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-14) - (-346)\/(-34)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/(-4212))\/((3\/(-9))\/1 - 0)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -u + 7, -41*u - p + 17 = -36*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -169 and -0.265.\nAnswer: -169.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575571 - 278577 = -8308*b - 409186 for b.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 9*l = 24. Suppose 4*d - 56 = 120. Calculate the remainder when d is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, z: 11}. Give prob of sequence zppz.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(162) + -2.\nAnswer: -36*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.116, 4, 5, 0.4, 0.2, -172?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3613, -1702, -7023, -12350?\n\"Answer: -3*a**2 - 5306*a + 8922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12461357 to the power of 1\/2, to the nearest integer?\nAnswer: 3530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16558 (base 10) to base 9\nAnswer: -24637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.68 (b) -3 (c) 2 (d) -1 (e) -46.143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 45*z - 7. Let h(x) = 136*x - 20. What is 6*h(f) - 17*k(f)?\nAnswer: 51*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 215*f - 213*f, 5*f + 10 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - c + 8, 0 = 5*l - 0*c - 5*c - 5. Solve -s - 6 + l = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssasasasasas.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -262.1\nAnswer: -26.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, 0.2, -4136, -2, -1\/7 in decreasing order.\nAnswer: 6\/7, 0.2, -1\/7, -2, -4136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 36*s + 77. Let i be r(-2). Let f(h) = 7*h**3 + 5*h**2 + h - 3. Let p(g) = -3*g**3 - 2*g**2 - g + 1. Determine i*p(m) + 2*f(m).\nAnswer: -m**3 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*k - 2*s - 2, -5*s + 1 = -2*k. Suppose 173*f - 126 = 152*f. Let l be f*k\/8 + 1. Solve 0 = -3*q - 2*q - l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m + 64305 = 64905 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -3 + 6 + 2 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(20\/7))**(-22))**(1\/10) assuming m is positive.\nAnswer: m**(-297\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1185 * 247.6\nAnswer: -293406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 502, 835, 1168, 1501?\n\"Answer: 333*x + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 9, -3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (5 - -2) + -2. Suppose 0*y + 21 = w - 4*y, -y - x = w. Let p = -21177 + 21182. Solve 0 = p*d - w + 26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7714 divided by 58.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 5:22 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (5 + -100)) + (12 - (35 + -22 + -12))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8.45695 meters?\nAnswer: 8456950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 2 - (-4 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3007.676l to millilitres.\nAnswer: 3007676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -210587, 2915.\nAnswer: -210587, 5, 2915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*i - 410*i = -21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 + i + 5. Let a(q) be the first derivative of -q**3\/3 - q**2\/2 + q + 5. Let h(o) = -5*a(o) + z(o). Calculate h(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) - (-4538730)\/75. List the prime factors of o\/144 - 3\/(-4).\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774985970.\nAnswer: 2, 5, 11, 17, 414431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -13*y - 14*y - 11*y + 40*y. Let b(v) be the first derivative of -13*v**2\/2 - 1. Give u(b(n)).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = 7*r - 8*z + 10*z + 5, 0 = r - 2*z - 9 + 107 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 310 + 60. What are the prime factors of r?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2754 and 1?\nAnswer: -2754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 12*x**2 + 20*x + 5. Let a(y) = -2*y**3 + 25*y**2 - 41*y - 10. Let z(p) = 4*a(p) + 9*h(p). What is the hundreds digit of z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 19*f + 3 = -3*q, 5*f - q - 1 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*z + 92, -3 = 3*p + 3*z + 48. Let c be p\/99 + (-4)\/(-22). Suppose c = -i - i + 1740000. What is i rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 + 7 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21\/5 + 183\/40. Does x = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 184 + -180. Suppose -84 = -m*g + g. Calculate the remainder when 82 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1026 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**3\/3 - 6*u**2 + 46*u. What is p(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.5, -1\/4, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h*k*q**2*w - 3*h*k*q - 6*h*q**4*w - 2*h*q**4 - 65*k*q**4 + 5*k*q**2 + 2*k*q - 2*k - 4*q**2*w wrt q?\nAnswer: -144*h*q*w - 48*h*q - 1560*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c95c0 (base 13) to base 16.\nAnswer: -10e0ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024729666 to four dps.\nAnswer: 0.0247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8162*a - 2 + 2 + 8165*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 23947109.\nAnswer: 23947109.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*p + 4*w, 5*w = -5*p + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 1:53 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10.295 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24047431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**7*h*h**(2\/11))\/((h*h*h\/((h\/(h\/(h**(-7)\/h))*h)\/h))\/h**7) assuming h is positive.\nAnswer: h**(57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 14*t**2 - 2*t + 27. Calculate a(-13).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -91054720 to the nearest 100000.\nAnswer: -91100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1526*y = 1529*y + s - 22, -128 = 2*y - 35*s for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99.1 + 99. What is the nearest to o in -17, -2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286 divided by 562?\nAnswer: 1143\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*k = 0, 3 = -i - 3*k + k. Let j(m) = 6*m - 3. Let o(c) = -27*c + 1. Let x(h) = -128*h + 1. Let b(t) = 5*o(t) - x(t). Determine i*b(p) + 4*j(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 9:48 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 4*r**3 - 2*r**5 + r**4 - 4*r**3 + (0 - 3 + 4)*(-70*r - 14*r**5 + 70*r).\nAnswer: -16*r**5 + r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 11. Let z(d) = -d**3 - 9*d**2 + 4*d - 14. Let m be z(-10). Let u = m + -30. What is the remainder when u is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 3.7 (c) 2\/11 (d) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/5160 and 73\/225.\nAnswer: 77400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18982.0176 - -19005. Let q = f - 23. Round q to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9198 and 1008.\nAnswer: 73584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 + (4 - 1) + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 80.93 and 0.006.\nAnswer: 0.48558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, 71, 237, 563, 1103?\n\"Answer: 9*a**3 - a**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((31 - 0) + -34).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a = -38*a - 15. What is the nearest to 7 in a, 4, -3, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -4. Let m = 23.6 - 23.2. Let c = -7 - -7.3. What is the nearest to 1 in m, x, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2, -5, -36486, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-34) - 414\/(-918). Let s be ((-2)\/1)\/(-1) + -1. Let z = o - s. Is -2\/17 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 33*z**3 + 6*z**3 - 4.\nAnswer: -27*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59092?\nAnswer: 2, 11, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -1\/3, -1, 36\/23, -0.3 in increasing order.\nAnswer: -1, -1\/3, -0.3, 0.06, 36\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.1 + 38. Which is the closest to p? (a) 2 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 1995?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -24*j**3 - 4*j**2 + 48*j - 76. Give b(2).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-12)\/16*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4676169nm in centimeters?\nAnswer: 0.00000004676169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -105. Suppose -i - 3*b = -y - 27, -5*b = 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.039 > 30\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and -1.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 - 4*i - 15. Let m be a(5). Suppose -l = 4*o - m, 5*o + 2*l + 3*l - 50 = 0. Calculate the highest common factor of 80 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*v - 534*v - 396*v + 240*v.\nAnswer: -844*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 2*p + 2*p + (-3*p - p + 2*p)*(0 + 0 - 2*p) + 6*p**2 - 28 + 28.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*g - 15 = 0, -4*g = -5*o + 11 + 9. Suppose 0 = -2*n + o*n - 480. What is the highest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 6*h + 2. Let w be y(8). Suppose 0 = -p + 3*d - 9, 3*d - w = -3. What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - l + l + 2*l - l**2 - 2*l + (2*l - 4*l + 0*l)*(0*l - 2*l + 0*l) + (0 + 0 + l)*(33*l - 15*l - l).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/3 + 4484*d**2 + 4109985*d + 2735821894\/3 = 0. What is d?\nAnswer: -437, 14326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 2*y**2 - y)*(-y + 4*y - 4*y) + 30*y**2 - y**3 - 30*y**2 + 2*y**2 + y**3 - 2*y**2 to the form k*y**3 + c + u*y + m*y**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 771, 1870, 2969, 4068, 5167, 6266?\n\"Answer: 1099*x - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.574446 rounded to 1 decimal place?\nAnswer: -47.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25642951, 51285920, 76928911, 102571930, 128214983, 153858076?\n\"Answer: l**3 + 5*l**2 + 25642947*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-342)\/2280)\/((-2)\/(-10)*1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 + 0)*(2*i - 2*i + 9*i**2) to n*i**2 + v + o*i and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37881 and 26975481.\nAnswer: 4209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/3)*j*j)**(11\/3)\/(j\/(j**(-3\/7)\/j)*j*j\/(j*j\/(j*j**(-3)*j))*j*j))\/((j**8*j*j**(-1)*j)\/(j**(6\/11)*(j**8*j)\/j)) assuming j is positive.\nAnswer: j**(6626\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r + 24. Let f be z(-6). Let c = -50 + f. Let q(x) = x**3 - 9*x**2 - 9*x - 6. What is the units digit of q(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3474, -6947, -10420, -13893, -17366, -20839?\n\"Answer: -3473*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 2*v**3 + v**3)*(0 - 3 + 1) - 12780*v + 12780*v + 129*v**3.\nAnswer: 127*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 63. Suppose 4*d - 2 = 6. Factor n*f**4 - 12*f + 2*f**d + 12*f**3 + 36*f**3 + 5 - 3.\nAnswer: 2*(f + 1)**2*(4*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 713, 1427, 2139, 2849, 3557, 4263, 4967?\n\"Answer: -f**2 + 717*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 0.5, 0.17, -67?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**3 + 3340*q**2 - 6708*q - 10044 = 0.\nAnswer: -837, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107\/67 + -5751\/3685. What is the nearest to -0.5 in 1\/2, r, 3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -47154?\nAnswer: 47155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -978*t - 242. Determine s(-1).\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*h + 61737, -61730 = -19*h + 17*h + 4*v. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, 244, 4 in descending order.\nAnswer: 244, 9, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -32, -3, -2, -16, 5 in descending order.\nAnswer: 5, 2, -2, -3, -16, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -541 (base 16) to base 7\nAnswer: -3631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2000*g**2 - 200*g + 5 = 0.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1\/6, -3\/2, 10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 3*g**2 + 2*g + 3. Let i be y(-3). Let v be 1\/(-4) + 6\/i. Suppose -103 = -5*d - v*k - 2*k, 4*d + 2*k = 84. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39bb03 (base 12) to base 11.\nAnswer: 5a15a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2213112201 + 1301?\nAnswer: -2213110300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 6*a**2 - 4*a + 1. Let n be u(-6). Suppose k - 15 = 5*z + 14, 5*z + n = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y**3 + y**2 - 4*y - 1. Let v(s) = s**3 + s**2 - 1. Let q(i) = u(i) - 5*v(i). Suppose j = -0 + 5. What is q(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k - 44. Let j be u(24). Suppose -4*m + j = 36. Solve -3 - 2 = m*y + n, 3*y - 3*n = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -2, -331153, -4, -9, 4 in ascending order.\nAnswer: -331153, -9, -5, -4, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 182596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, -52, -78, -104, -130?\n\"Answer: -26*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 16*w + 31. Determine o(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36603 a multiple of 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g - 68. Let q(n) = 2*n. Give q(s(a)).\nAnswer: -8*a - 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2. Let l(g) = -g. Let k(i) = -75*i. Let m(b) = 2*k(b) + 14*l(b). Determine m(y(h)).\nAnswer: -492*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 252*p**5 + 1136*p**4 - 228*p**3 - 4856*p**2 - 2352*p - 288 = 0.\nAnswer: -3, -2\/7, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 0 - (5 + -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5064 = -5*v - 8111, -5*v - 13175 = c. Suppose -2*x + 4*x + 18608 = 5*g, 5*g + 4*x - 18614 = 0. Let d = g + v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 4 - 9*-1. Suppose v = 2*t + d, -15 = 3*t - 0. What is the third derivative of 15*g**3 + 24*g**v - 39*g**3 - 4*g**2 - 17*g**4 wrt g?\nAnswer: -408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -12 - (93 - 105).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 6*b**2 + 1\/12*b**4 + 1\/2*b**3 + 0 + 10*b. What are the prime factors of j(-5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5. Let g = 3 + n. Factor -1\/3 + 2\/3*v + 1\/3*v**4 - 2\/3*v**3 + 0*v**g.\nAnswer: (v - 1)**3*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 3*h**2 + 2*h + 2. Let x(g) = -4*g + 3 - 1 - 1. Let b be x(1). Let v(z) = -z**3 + 4*z**2 + 2*z + 3. Let p(f) = b*v(f) + 4*o(f). What is p(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 359 = -173. Suppose -4*q - 457 = -y. Is 9 a factor of ((-1)\/(-3))\/((-3)\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16041 - -41188?\nAnswer: 57240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22865070 by -758.\nAnswer: -30165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3004*s**2 + 12022*s**2 - 3000*s**2 - 3004*s**2 - 3013*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020383994 to six dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -850*z**4 + 58*z**2.\nAnswer: -20400*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x**2 - 8*x**3 + 4*x**3 + 5*x**3 - 17*x + 20. Let l be o(8). Suppose l*y - 54 = 42. Solve 5*m = -5*r - 14 - 6, -3*m + y = -2*r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 264*z**3 + 54*z**2 + 19*z + 18. Let m(i) = -132*i**3 - 24*i**2 - 9*i - 8. What is -9*m(f) - 4*q(f)?\nAnswer: 132*f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*i + 15058 = 0, -57*i + 58*i + 45144 = 3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(243)*1)**2 + -2 + 4 + (-2*sqrt(3)*6 - -3*(sqrt(3) - (sqrt(3) - sqrt(48)))).\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100100100101111111100 - -1?\nAnswer: -11100100100101111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53756, -107523, -161290, -215057, -268824, -322591?\n\"Answer: -53767*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 3*z - 5 + 0. Let t be g(-7). Let b(o) = 0*o**2 + 5*o**2 - 3*o**t. Let r(m) = -m. Give r(b(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 - 68)\/(((-5)\/(-10) - (-3 - -4))*286).\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -0.82.\nAnswer: -6.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -393\/130, 2\/7, -5 in decreasing order.\nAnswer: 2\/7, -393\/130, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 11*u**8\/112 + u**5\/60 + 2*u**3\/3 - 12*u**2. What is the third derivative of c(q) wrt q?\nAnswer: 1980*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3408416815?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-4)\/(-52))\/((-4)\/(-104)*26).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-84)\/(-39) - (-36)\/(-234). What is the first derivative of 5*j**v - 280*j**4 + 0 + 0*j**2 + 12 - 5*j**2 wrt j?\nAnswer: -1120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/13 + 1866544*d**3\/13 + 11199216*d**2\/13 + 22398400*d\/13 + 14932256\/13.\nAnswer: 2*(d + 2)**3*(d + 933266)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 1, t: 1, h: 5, f: 2, d: 3}. What is prob of sequence fh?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*i + 43*i + 38*i - 2744 + 3*i**2 - 122*i as k + s*i + y*i**2 and give k.\nAnswer: -2744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 11:10 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47, 88, 129?\n\"Answer: 41*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*v + 4*v - 3, 4*v + l - 1 = 0. Sort v, -5, 5 in ascending order.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 8*q - 12*q - 17, -4*q = 8. Solve -5*x = -l*g + 10, -3*g + 5*x - 2*x + 12 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 4*j - 3*j + (-j - j + 0*j)*(-3 + 6 - 4))*(-3*j**3 + 15*j - 15*j).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-58320)\/(-56) - 9\/21. Is 1*y*6\/18 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2233023 (base 6) to base 15\nAnswer: -23910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 10341236.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-129 - 1*-2)\/355. Let c = l + -3\/71. Let j = 43\/3 + -44\/3. Which is greater: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 7*k**4\/24 + 55*k**3\/3 - 3*k**2 + 41. What is the least common multiple of b(-8) and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119111 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**3\/3 - 7*t**2 - 7*t. What is the least common multiple of 7 and g(-11)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22652?\nAnswer: 2, 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -399266 or -8\/3?\nAnswer: -399266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/13)\/((-5)\/((-60)\/(-8))). Which is the closest to 0? (a) 3 (b) -1\/8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 122. Find the third derivative of -19657*a - l*a**4 + 99*a**2 + 19657*a wrt a.\nAnswer: -3240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4154, 8313, 12482, 16661?\nAnswer: 20850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1758025049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*a + 246, -2*a + 95 = 3*j - 146. Is j a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 14) in base 15?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, s: 9}. Give prob of picking 2 s.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 = -5. Let g be 0 + 2*(-9)\/d. Let t be 4\/12 + (-24)\/g. What is the second biggest value in t, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167443.578us to days.\nAnswer: 0.000001938004375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6793\/506 - 406\/23. Let d = 2148239\/44 - 48826. What is the common denominator of y and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1 (b) -107 (c) -0.03 (d) 2\/11 (e) -4 (f) 0.4 (g) -0.28\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2616 + 2657. Solve -4*y - i = -21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 1\/20*a**5 + 1\/12*a**4 - 1\/30*a**6 - 1\/6*a**3 + 0 + 0*a**2 - 205*a. Factor z(c).\nAnswer: -c*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 231.\nAnswer: -3003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*x = 120*x + 1476. Solve 18*d - 16*d - 4*b + x = 0, 0 = -b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.018, 2\/37, -7, -2\/5, -0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(117) + (sqrt(117) - ((sqrt(117) - (sqrt(117) + sqrt(117)*3 + sqrt(117))) + sqrt(117))))*5)\/(sqrt(90)\/(-4*sqrt(50)\/sqrt(5))).\nAnswer: -100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98\/9 + 28\/9*y + 2\/9*y**2.\nAnswer: 2*(y + 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 587 - 583. Which is the second smallest value? (a) f (b) -2\/49 (c) -11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 + 2*b + 3. Let h be i(-1). Suppose -h*r = -364 + 64. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 18*t**2 - 18*t - 20. Give r(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 5*l**2 - l - 4. Calculate r(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 178, 190, 210, 238, 274, 318?\n\"Answer: 4*b**2 + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p - 5*p = -2 - 28 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -124*d**2 + 4 - 6*d**3 + 124*d**2 + 2*d**3 - 5 + 5 + (0*d**2 + d**2 + d**2)*(3*d - 2*d - 3*d).\nAnswer: -8*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 47\/11, -2, 0.2, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1516, 5717, 12720, 22525, 35132?\nAnswer: 50541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/9 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89301\/13 + -43391\/52. Let o = -7746 - y. Let k = o + 43. Which is the third biggest value? (a) 2 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08106 and 620163889?\nAnswer: 620163888.91894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - 3c5?\nAnswer: -3d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from yggggggggygggggggg?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1396.9048 - 1397. What is j rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + v = -42. Suppose -2*r + v*r = 330. Calculate the greatest common factor of 12 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6855587\/84 + -81613. Find the common denominator of g and -40\/171.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 9*t**2 + 12*t - 21. Let p be f(10). Which is the nearest to p? (a) 1\/9 (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0369*13.8\nAnswer: -0.50922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*b - 0*b + 3*y, -3*b + y + 10 = 0. Let j be (10 - 6)*1*3. Solve -b*k + 2*k + j = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 - 14 = 0. Solve -y = 2*c, 0*c - h*y = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = -16. Differentiate 1 + 0 + 0*f**3 + t*f**3 - 2*f**3 with respect to f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 + 3990496*z\/5 - 3990501.\nAnswer: (z - 5)*(z + 3990501)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/(-2))\/(7\/(-56)*4). Which is bigger: q or 63\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -16*d**3 + 5*d. Let j(i) = 104*i**3 - 32*i. Determine 5*j(l) + 32*w(l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*m - 100 = 0, 11*c - m = 7*c + 68. Solve c*w + 6 = 18*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(5*(sqrt(475) + 1) + -5*sqrt(76)*4)**2*-5.\nAnswer: -129000 + 4500*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1744\/3157 + -2\/287. Suppose -5*p + 2*b - 18 - 34 = 0, -b = -3*p - 31. Let l = p - -12. Is l greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -557, 5\/3, 1.3, 8 in decreasing order.\nAnswer: 8, 5\/3, 1.3, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 - 98. Suppose 5*f + 183 = 6*t - q*t, f + 3 = 0. What is the greatest common divisor of t and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30908147*j**5 - 213*j**2 + 21709.\nAnswer: -1854488820*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*n + 1)*(-1 - 6 + 2) + 5*n - 4*n + 0*n)*(2*n**3 + 0 + 0) - 3*n - 2*n**4 + 3*n.\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + 0 + sqrt(2).\nAnswer: sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1694 = -4*c, 12*u = 10*u - 5*c + 3403. What are the prime factors of u?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 6*b**2 + 4*b + 7. Let m be (-29)\/58*8\/(-2). Let o be (m - 38\/(-6))*3. Suppose 5*t = u + 20, -2*u + 0*t - 3*t = -o. Calculate k(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 101?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 84 = -20*g. Suppose -4*a + 0 = -g, -2*w + 2813 = -a. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-21))\/l)\/l)\/(l\/(l\/l**(-3\/25))))\/(l**(3\/2)*l**(-7\/2)) assuming l is positive.\nAnswer: l**(-497\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*i + 23, -o - 1 = -0*o. Calculate the remainder when (-43 - -1)\/(-3)*2 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d. Suppose -9*z + 90 = 81. Let x(h) = -h - 2. Let w(s) = 30*s - 10. Let n(r) = z*w(r) - 5*x(r). What is n(p(v))?\nAnswer: -70*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5266, -4657, -4050, -3445?\n\"Answer: -i**2 + 612*i - 5877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/24, -2, -3, 2\/199 in decreasing order.\nAnswer: 2\/199, -7\/24, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 27, -24 in increasing order.\nAnswer: -37, -24, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2619*z + 2319*z - 5400 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53 + 36 + 41)*(-10 + 2 - 42)*(2*x**3 + x**3 - x**3) in the form a*x + n*x**3 + b*x**2 + i and give n.\nAnswer: -2400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c. Let d(x) be the third derivative of 139*x**4\/3 - 13*x**2 - 120*x. Calculate d(w(t)).\nAnswer: -3336*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81744 (base 15) to base 3.\nAnswer: 202211102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (864\/2268)\/(4\/3). Let f = 0.293 - 0.023. Let j = f + 0.13. What is the biggest value in 4, d, j, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 875421 (base 9) in base 13?\nAnswer: 153976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l. Let d(i) be the third derivative of -i**6\/180 + 4*i**3\/3 + i**2. Let v(k) be the first derivative of d(k). Determine v(t(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 649212253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 456596 - 271195. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g - 4*i = -16, -3*i + 11 = -g. Calculate the lowest common multiple of g and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96893252?\nAnswer: 2, 947, 25579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18285 and -99.\nAnswer: 18.10215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23800.3178 rounded to the nearest ten?\nAnswer: -23800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c**3 + 6. Let n(y) = -y**2 + 10*y - 5. Let u be n(7). Let v = -3 + u. Let l(w) = 15*w**3 - 13. What is v*t(i) + 6*l(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*c - y - 136 = 0, 10*c = 16*c - 8*c + y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/4))**5)**33 assuming p is positive.\nAnswer: p**(165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*a + 20 = -125*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 58*y + 12. Calculate the remainder when d(7) is divided by 405\/(-45) - (2 + -53).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 4*x - 2. Let m be z(-2). Let l(u) = -15*u**2 + 3*u**m + 10*u**2. Let r(h) = -3 + 3 - 2*h. Give r(l(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5444 - -0.55. What is y rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9677291.4 rounded to the nearest ten thousand?\nAnswer: -9680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-4) + 37)*(8368\/3661 + 18\/(-14)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12*q**2 + q. Determine c(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 8*l**2 - 8*l + 4. Let q be p(-9). What is the tens digit of 2*(15 + q)*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxxb when four letters picked without replacement from {b: 5, x: 2, l: 2}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 312 = -5*m, 624 = -2*c + 6*c + 3*m. Let j = c - 102. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 6*c**2 - 6*c + 9. Let d be o(5). Let z be (0 - d) + 7 - 2. Solve -z = 3*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -37*f**2. Let g(x) = 0*x**2 - 3*x**2 - 5*x**2 - 6*x**2 + 16*x**2. Determine g(r(p)).\nAnswer: 2738*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -668687.8? (a) -2 (b) 1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2383342 is divided by 148957.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 6. Let m(n) = n**3 + 5*n**2 - 3*n + 8. Let v be m(-6). Calculate the remainder when 138 is divided by j(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**2*y**3 - 82*i**2 - 36*i*y**3 - 1298*y**3 - 191*y**2 + 2 wrt y.\nAnswer: -12*i**2 - 216*i - 7788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-3*b + 3*b + 2*b**2) + 9282*b**2 + 11369*b**2 - 5748*b**2.\nAnswer: 14901*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14026133?\nAnswer: 11, 89, 14327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -245 - -384. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/27*(-6)\/(-4)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79805758 to the power of 1\/2, to the nearest integer?\nAnswer: 8933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5003185 centuries?\nAnswer: 5.003185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.1 + -40. Let w = s + 0.9. Is -2 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*x + 5*x - 5*x)*(6 + 1 - 5) - 14*x + 0*x + 9*x)*(-9 + 92*x - 92*x - x**2) in the form n*x**2 + y*x**3 + p*x + b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -368 - -373. Let c = 772 + -458. Suppose -d*q + 247 = 3*x, 4*x - 3*q = -2*q + c. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 9\/487, -667?\nAnswer: -667","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508991 is divided by 4277?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 122000\/(-2*(-5)\/(-50)). What is o rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 - -30. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95219 is divided by 1754?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeq when three letters picked without replacement from {e: 4, q: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -k - 2*k - 27, -k + 19 = -3*l. Let o = -4 - l. Suppose -10 = -o*u - 2*s, 0*u = 3*u + 5*s - 17. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700\/56*18\/(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1976 and -13\/304.\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 4*a**2 - 5*a - 5. Let j be q(5). Let k(g) = 3*g - 2*g + 0*g + 12. List the prime factors of k(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 24*r + 13. Calculate the remainder when m(-13) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110912 = 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 365437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/24)\/((-6)\/(-1812)) and 51\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1832 is divided by 196?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 - 678\/(-120))*(-10)\/12. What is x in -3\/8*x**2 - d*x - 3\/4 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = 6. Suppose -a = z*a - 30. Let b be 5\/a*2 - 2. What is b rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p**2 - 7*p - 5. List the prime factors of w(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 12 - 16\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -74d + 5d?\nAnswer: -6f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555762 is divided by 1494?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 + 2*f**2 + 3*f + 2. Let z be g(-1). Let i be ((0 + 1)\/z)\/(1379\/(-14)). Is -1 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrfrrfr. What is prob of picking 3 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460*i - 456*i - 438*i - 422*i + 1730*i.\nAnswer: -46*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3636 and 595294?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 65 = -5*x. Let j = 16 - x. Let m(k) = 2*k**2 + k - 2. Let q(u) = -u**2 - u + 1. Give j*m(a) + 4*q(a).\nAnswer: 2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 15*d + 2. Let o be z(3). Suppose -2*y + 4*y + 2*r = 30, -r = 5*y - 87. Suppose o = y*w - 17*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1460718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4\/5, -3\/5, 1.1, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.408648 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -0.2 (c) 16 (d) 56.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 20*o**2 + 3*o. Let t(n) = 13*n**2 + 2*n. Let f(b) = -2*l(b) + 3*t(b). Let u(d) be the second derivative of -29*d**3\/3 - 2*d. Determine u(f(i)).\nAnswer: 58*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = 9*j - 229 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpplrlprrjep. Give prob of picking 1 l, 1 e, and 2 p.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -686.9 + 687.2. What is the third biggest value in -0.24, 3\/7, -0.4, 9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + n = -3 + 1, 3*l - 2 = n. Let g = -58\/11 + 566\/99. Does g = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.3 + 28.7. Let a = 34 - g. Does a = 18\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363261 divided by 3?\nAnswer: 121087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-8)\/((g**(-6)\/g)\/g)*(g*g**(1\/2))**(-19\/3) assuming g is positive.\nAnswer: g**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 0*c - 5*c - 5*c + 4*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450201592.\nAnswer: 2, 31, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 426 = 3*b, -162 = -r - 0*b - 4*b. What are the prime factors of r?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 9:26 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -9\/10*g**2 + 6\/5*g + 1\/5*g**3 + 82. Factor n(y).\nAnswer: 3*(y - 2)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351860743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8790894 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -177 + 212.5. Let z = -35.499998 + v. Round z to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, w: 5, f: 1, d: 3}. Give prob of picking 1 a, 1 w, and 2 d.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 633, 1253, 2121, 3237?\nAnswer: 4601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 175.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9 - ((-56186)\/156 - 2\/12). Which is greater: t or 361?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h - 5*h - 3 + 0. Let u be o(-3). Suppose u*b = 4*b - a - 81, -4*b = -2*a - 82. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/261, -1669, 0?\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5045.\nAnswer: 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*20\/18*(6 - (-144)\/(-20)). Solve -5*m = -5*q - 5, 2*q - 4*m = -2 + x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 552233, 1104559, 1656885, 2209211?\n\"Answer: 552326*g - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 67, 105, 143, 181, 219?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-4*-4 + 4 + (-5 + -2*sqrt(7) - (sqrt(700) + -2)).\nAnswer: 1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 83404000 to the nearest 1000000.\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -919062 divided by -4.\nAnswer: 459531\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**3 - 14*n**2 - 29*n - 14. Let q = 162 + -129. Let s(j) = -42*j**3 + 111*j**2 + 231*j + 111. Let f(o) = q*k(o) + 4*s(o). Factor f(i).\nAnswer: -3*(i + 1)*(i + 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3769 - 778?\nAnswer: 2aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 8*v = 0, -2*v + 0*v = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1556, 215, 4, -2.\nAnswer: -1556, -2, 4, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 0, -2\/71, 0.2?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrgggrrgr. Give prob of sequence gr.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 358149 by 32559.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6266?\nAnswer: 2, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-45) - (-1 + 10583996\/(-6)). Round k to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from yqyqyqqqqyqyq?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -218\/3 - -72. Which is the third biggest value? (a) 1 (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 2. Let f = -12 - -13. Let r = 2.9 + -3. What is the second biggest value in f, r, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52622881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 15 = 6*r. Let f = 16.25 - 16.55. What is the smallest value in r, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (131456\/6952)\/((-2)\/(-11)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 3*o**2 + 2*o + 1. Let n be w(-3). Which is the third biggest value? (a) n (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2. Let d = -4 - -5. Let j be (1 + d)\/(6\/15). Let i(k) = -5*k - k**2 + j*k + 3*k**2. Calculate i(p(x)).\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 3. Let h(z) = -2*z**2 + 2*z - 7*z**2 + s*z + 4*z - 9. Let d(t) = t**2 - t + 1. Let p(x) = 12*d(x) + h(x). Let p(r) = 0. What is r?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 167.\nAnswer: -50.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -27*d**3 - 2*d**2 - d. Let o be l(-1). Suppose -2*g - 2*g - 8 = -4*a, o = a + 5*g. Suppose 3*i - a*i = 0. Solve i = 5*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 2:41 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-373)\/((-307725)\/660))\/(-1 - 3 - 756\/(-350))\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n**(-32)*n))*n\/((n**(-4\/11)\/n*n)\/n)*(n**(9\/5))**(1\/11) assuming n is positive.\nAnswer: n**(-1566\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 10*r - 288. Suppose -3*s + 0*s = -4*a - 108, 0 = -2*s + a + r. What is the greatest common divisor of 24 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 4092?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175 + 173. Let t(l) = 12*l + 25. Let r be t(y). Sort 3, 0, 4, r in increasing order.\nAnswer: 0, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 + 25 = 0. Suppose 6*z - 10*z = -g. Suppose -2*b = 1 - 7. Calculate the remainder when z is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186576 and 207.\nAnswer: 559728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 9. Let z be n(8). Let h be (-2 - z) + (4 - 1). Let c = 8 - 5. Solve c*f = h*f - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 10:38 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-30) + 289\/(-510)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-256)\/512)\/(189\/20 + 4\/16). Is u < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -4*n + 29. Let u be 3*6*n\/(-6). Let j = u + 361. What is j rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*k + 6086, 1156 + 363 = q - k. What is the greatest common factor of 48 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**5 + 745*y**4 + 1310*y**3 - 24000*y**2 - 70560*y = 0.\nAnswer: -147, -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 200 = 5*p - 18*p + 16*p for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, -0.2, -58 in descending order.\nAnswer: -0.2, -1, -13, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4394*u**5\/15 - 165958*u**4\/15 - 586508*u**3\/15 - 270096*u**2\/5 - 167616*u\/5 - 39168\/5 = 0. What is u?\nAnswer: -34, -1, -12\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 0 (b) -62 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6680, -6660, -6638, -6614, -6588, -6560?\n\"Answer: r**2 + 17*r - 6698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(72)\/(sqrt(54) + sqrt(6)))*4 + 0 + -2 + sqrt(17) + -1*sqrt(153).\nAnswer: -2 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3 = -11. Differentiate -9 - 7*k + t - 1 with respect to k.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b - 89700 = 28*b - 33*b. What is the lowest common multiple of 54 and b?\nAnswer: 16146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/5 or -328\/13?\nAnswer: -328\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 + -10 - 1\/1. Suppose 3*k + 7 = -5*g - h*g, -4*g = k + 7. Suppose -6*x + k = -17. Solve 2 = -x*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3 - 104*h**2 - 102*h = 0.\nAnswer: -51, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 1\/12*v**4 + v + 3\/2*v**3 + 1\/2*v**2 + 0. Is h(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**2 + 5*h**2 + 3 - 3. Let l(y) = -3*y**3 - 6*y**2 - y. Let s(n) = -4*g(n) + l(n). List the prime factors of s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -254\/7. Let m = 33.9 - 34. Which is the closest to -0.2? (a) m (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*u**2 - u + 9*u**2 + 9*u**2)*(-u**2 - 2*u**2 + 2*u**2) in the form r*u + t + s*u**2 + m*u**3 + h*u**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/6*11925\/(-265). Solve 2*b = -8*b + s for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.1 and 41.9.\nAnswer: 36.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/40 - j**4\/4 + 2*j**2. Let o(y) be the first derivative of -y**4 + 7*y**2\/2 - 104. Determine 5*f(u) + 4*o(u).\nAnswer: -u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -1. Let o = 3 + -15. Let v = -17 - o. What is the closest to -1 in z, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267393 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -13*y + 19040. Suppose 3*i = -5*q + y, i - 1518 = -5*q + 872. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 8:29 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 3\/148 (c) 5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -530, -1240, -2252, -3572?\nAnswer: -5206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 - 7*x**2 + 5*x + 3. Let a be y(4). Let c = a - 106. Suppose -5*q - 5*d = -20, 3*q + d = 3 + 1. Put q, 3, c, 7 in ascending order.\nAnswer: c, q, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345632026 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 a, and 1 k when three letters picked without replacement from kakoax.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) -23\/1094 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l - 20 - 5*l + 5 - l. Let i be v(-6). Determine p, given that 4\/3 + 64\/3*p**2 + 76\/3*p**i + 44\/3*p**4 + 10\/3*p**5 + 26\/3*p = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*g + 90*g = -4900. What is the remainder when g is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 20*t. Suppose -5*c - 6 - 79 = 0. Let a(p) = 7*p. Give c*a(h) + 6*z(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*z = 753*z + 119*z + 58378 + 5806 for z.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1332, -1032, -732, -432?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -40562.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1210 = -s + 4563. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 37*y**2 + 534*y + 281. What is g(-48)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = -66 + 6 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 510783 and 624?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1240 + -961. Let x = -211 + v. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1184655254 from -0.86.\nAnswer: 1184655253.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.35 - -0.05. Let z = a - 0.4. Which is bigger: 0.2 or z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -233, -519, -1027, -1751, -2685, -3823, -5159?\n\"Answer: q**3 - 117*q**2 + 58*q - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3*(-39)\/2. Suppose -3*l = -n - 2. Let z(j) = j**3 - 4*j**2 - 6*j + 6. What is the units digit of z(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9912 and 7434?\nAnswer: 29736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*f - 1956 - 812 + 724 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1044 + 226. Suppose 4*m = 14*m - d. What is the remainder when m is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 96*c**2\/5 + 3052*c\/5 - 3532 = 0.\nAnswer: -883\/24, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 375*-0.676575\nAnswer: -253.715625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 3:51 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 - 1780 = 688*m + 336 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*4\/36)\/((-8895)\/(-4151))*(-3)\/(-2)?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1175 - -1662. Let f = -486.999408 + q. Round f to 5 dps.\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/15 and (0 - (-3)\/18)*(-6 - -73).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56644\/5 - -11423. Let h = g - 93. Let i = 0.8 + -1. Which is the biggest value? (a) i (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 616 = -2*p + 604, 3*y - 1839 = -3*p. Calculate the greatest common divisor of 88 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 31. Suppose 0 = 11*m - 191 - 117. Let t be o(m). Solve 3*p - p - 14 = t*f, -2*p - 14 = 4*f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 - 3*j + 8. Let b be t(-6). Let v = 699\/155 + -75\/62. Find the common denominator of 2*(0 + b\/32) and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 708 - 695. Suppose i*k + 33 = 14*k. What is the highest common divisor of 231 and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*n = 31, 4*n = -o + 3*n + 35. What is the remainder when o is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + (-68 - -65)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 3*p = -21 + 131, -26 = -2*r - p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 14*u - 4. Let v(n) = -4*n**2 + 25*n - 9. Let a(g) = 7*j(g) - 4*v(g). Find the first derivative of a(i) wrt i.\nAnswer: 18*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189050 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 prob of sequence qk when two letters picked without replacement from {q: 5, k: 5, j: 8, i: 1}?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s**3 - 2*s**2. Let f(o) = 155*o**3 + 45*o**2. Suppose -2*b - 4*r = -8*r - 102, 0 = -2*b - 4*r + 78. Calculate b*z(v) + 2*f(v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16 - 0.14. Let n(i) = i**3 - 12*i**2 + 19*i + 73. Let j be n(9). Which is the second smallest value? (a) j (b) -2 (c) -0.1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 0.3. Let f be (-2)\/(-4) - 124\/(-32)*-4. Which is the nearest to 1? (a) f (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 25 = -4*o, 0 = 49*s - 47*s + 5*o + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 (base 8) in base 16?\nAnswer: 1cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 963, 3773, 8451, 14997, 23411, 33693, 45843?\n\"Answer: 934*r**2 + 8*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11202007 - 9394767 + 5527461 - 2956944 - 2*u.\nAnswer: -2*u - 18026257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3*n = 6, 33*n + 10 = 28*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 0 - 2)*(-6*f + 2*f + 2*f) + (-5*f + 4*f + 4 - 2)*(2 + 3 - 3).\nAnswer: -22*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15480)\/378 - -23) + (14 - -4)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.189 + -2.189. Which is the smallest value? (a) 2 (b) -0.7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 817 + -651. Calculate the remainder when l is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 464, 594, 624, 530, 288, -126, -736?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -670*y + 6710. What is g(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 51*v + 24*v - 2 - 48*v + 142*v - 47*v.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*v - 254895, -101958 = 31*m - 33*m - 4*v. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20709*w**2 + 24074*w**2 + 14678*w**2)*(-2*w + 1 - 1) to x*w**2 + a*w**3 + j*w + b and give a.\nAnswer: -118922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30361 + 30360.8. Which is the smallest value? (a) j (b) -4 (c) 5\/12 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8089317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 10*u - 217 = 0. Suppose v - 71 = -u. What is the remainder when v is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n - 2 + 5 + 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 4:37 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2774.9231 + 2775. Sort 4, 0.4, t, 0, 3 in decreasing order.\nAnswer: 4, 3, 0.4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27 or 10?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2*a**3\/3 - 2. Let z(k) be the second derivative of 0 + 0*k**2 + 0*k**3 - 1\/12*k**4 + 3*k. Give z(y(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2671704 and 2520.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -17*w + 260. Let n be x(15). Sort 2, 4, -5, n in descending order.\nAnswer: n, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -18 - (-1570 - -1631).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/2 + -3. Let d = 0.1 - 0. Which is smaller: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 179*f. Let n(p) = 3*p**2. What is t(n(l))?\nAnswer: 537*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2805 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 14*u + 18. Let i be d(-13). Suppose 77*p + 2*w + 3146 = 79*p, -1555 = -p - i*w. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-1 - -5) + 2. Suppose j*x = -2*a + 12, -a + 13 = -0*a - 5*x. Solve -a = -3*q + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 9) + 7 - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -6685 and 0.4.\nAnswer: -6684.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + 7. Suppose -4*q = 1 - n. Suppose -5*g + 4 = -2*w - 18, q*g = -4*w + 16. Solve 2*o + 6 = -g*t + 4*o, -3*o = 4*t + 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*g**6 - g**4 + 188*g**2 wrt g.\nAnswer: 4800*g**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*k - 2*d + 54 = -274*k, 35 = -4*k - 3*d - 37 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -232380.9 rounded to the nearest 100?\nAnswer: -232400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 6*a - 5*a**2 + 170 + a**2 - 5*a**2 - 211.\nAnswer: -9*a**2 + 6*a - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 w when four letters picked without replacement from jwjoawwao?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - i**2 - 3*i + 3. Suppose 5*t - 13 = -3*c + 130, 26 = t - 2*c. Calculate the smallest common multiple of l(3) and t - (-3 + (5 - 4)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28794.2383 to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1543 and 2598 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 9*m - 10709. What is f(-99)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1064 + 1495. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 198972 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-2)\/1)*(-36)\/639. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149768?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5703, -10989, -16277, -21567, -26859?\nAnswer: -32153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*s**3 - 1)*((s + 2*s - 2*s)*(4*s - 4*s + s) - s**2 + 2*s**2 - 5*s**2) + (-2*s + 0 + 0)*(28*s**4 + 33*s**4 - 12*s**4).\nAnswer: -104*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*c - c - 30, -4*z = 4*c + 24. Let r = -12 + 5. Is r bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v. Let c(z) = z**2 - z + 113. Is c(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462980389 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: What is the value of ((-8148)\/2522)\/((-4)\/((-104)\/(-3)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 + -203. Let n = 404 - k. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (-2 - (-1 - -10))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 10:08 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 57 = 4*a. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1602, 6450, 14556, 25920, 40542?\nAnswer: 58422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 20 = -4*i, -5*i + 23 = 5*h - 2. Suppose i*f + d - 780 = 0, -f - 4*d = -34 - 103. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010000100100111010001 (base 2) in base 9?\nAnswer: 4863767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1343699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 7:47 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*d - 35*d - 38*d + 229*d - 178*d**2 + 5*d.\nAnswer: -178*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4 + 6 = 0. Which is the fourth smallest value? (a) h (b) 3 (c) -0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 16. Let n be r(7). Suppose -3 = -5*q + n. Solve 0 = 2*x + 2*d - q*d - 2, 3*x + 3*d = -6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 614*q**4 + 551 - 551 + 2 - 4*q**4 - 2 + 3*q**4 - 3*q**4 + q**4 + (2 + q**3 - 2)*(1 - 1 + 2*q) in the form j*q**4 + u*q + b + w*q**2 + f*q**3 and give j.\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Let f be (0\/1)\/z + 6. Suppose 1 = -4*v - m, 2*v - 2*m = -m + 1. Solve f*k - 2*k - 12 = v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*j + 16 = 64*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -970? (a) -10.8 (b) -0.2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/120 and 107\/3923396?\nAnswer: 117701880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 11:11 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27529?\nAnswer: 27529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 2:27 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80.7 + 80.4. Which is the nearest to 0.2? (a) t (b) 1 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 21. Let w be g(-13). Suppose w*x = x + 52. Suppose x*h = 4*h + 810. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 36*u**5 + 2 + 34*u**5 - 65*u**5 + 30*u wrt u?\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**5 - 1052*b**4 - 3*b**3 - 2062*b**2 + 1 wrt b.\nAnswer: 180*b**2 - 25248*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 752443473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10643609 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: Is ((-6202760)\/(-100))\/(-2 - (-48)\/20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y**4 + 43*y**2 - 292*y. Let i(x) = -2*x**4 + 11*x**2 - 73*x. Let v(n) = -9*i(n) + 2*j(n). What is the second derivative of v(a) wrt a?\nAnswer: 48*a**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22, 151, 496, 1165, 2266, 3907, 6196?\n\"Answer: 18*i**3 + 3*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121549799*h**3 - 3*h**2 - 10406592*h wrt h?\nAnswer: 729298794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(125)*-1 - sqrt(125)) + (4 + sqrt(125)*2)**2 + sqrt(125).\nAnswer: 90*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11114377?\nAnswer: 11114377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -215031 + -1?\nAnswer: -215032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 43*p**2 - 7*p + 14. Let t(f) = -408*f**2 + 62*f - 127. Let h(j) = 2*t(j) + 19*y(j). Calculate h(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145.884 - -5.95.\nAnswer: 151.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 23. What is b(-8)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18865478*p - 18865478*p + 37*p**2.\nAnswer: 37*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 154, 302, 460, 634, 830, 1054, 1312?\n\"Answer: z**3 - z**2 + 144*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*c = 414*c + 2398 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*((-9)\/(-2) - 4). Let a(j) = -17*j**2 - 6*j + 7. Let u(s) = 18*s**2 + 7*s - 8. Let b(w) = -5*a(w) - 4*u(w). Does 15 divide b(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 816 + -819. What is the nearest to -0.5 in -1\/3, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 7*l + 3*l - 11 = 0, -2*d - 3*l - 7 = 0. Is d < -1\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v - 4. Suppose 0 = -45*m - 15*m - 780. Let j(p) = -11*p - 9 + 29*p - 4*p - 3*p. Calculate m*t(d) + 6*j(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = c + j + 33, -78 = c + 2*j. Let x be 4\/18 + c*4\/(-36). Let r be 0 - -800003 - (x\/1 - 7). What is r rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1404 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 843 divide 616782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156142?\nAnswer: 2, 7, 19, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*u - 15 = 0, -u = 3*m - 1 + 16. Let z = -11 - m. Let p = z - -12. Solve 5*y + g = -29, 2*y - p - 4 = 5*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*w = 43 + 21, q - 5*w = 16. Suppose -q = -24*k + 6*k. Solve -k*d + 24 = 28 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 equal to -0.0573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in 648, -8, 92\/3?\nAnswer: 92\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgm when three letters picked without replacement from mmgmgmg.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2649.4525814 rounded to two dps?\nAnswer: 2649.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -74*t**2 + 2391*t - 741. What is y(32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 603 - 605. What is the nearest to a in 2\/5, 1, 31?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 43*a = -42*a - 50, 4*f + 0*a = -4*a + 4 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5 (b) 9.8 (c) -0.19903\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/43, -0.4, -1\/3?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -765*f - 3056. Let w be u(-4). Suppose w*y**4 + 0 - 120\/7*y**3 - 24\/7*y + 116\/7*y**2 = 0. What is y?\nAnswer: 0, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 83 + -81. Suppose -5*k - 1177 = -i*d - 2*k, -d + 569 = 5*k. Let c = 1681 - d. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 = 1. Let s(b) = 89*b**3 - 1. Let q be s(i). Let p = q - 442\/5. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irraaaaaaapiaaiiraa. Give prob of sequence ra.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 78*k**3 + 8*k**2 + 64*k + 71. Let f(y) = -52*y**3 - 5*y**2 - 40*y - 48. Calculate 8*f(p) + 5*l(p).\nAnswer: -26*p**3 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 1. Let o be 46\/11 - 14\/77. Let k(p) = 4*p + p**2 + o - 4*p. Let r(g) = 6*g - 28. Let a be r(4). Give a*m(l) - k(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0 (b) -2\/7 (c) 2 (d) 0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = -0*m. Let o = -236 + 356. Suppose -2*r = -12*r + o. Solve 4*w = m - r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23195 + 23191 + 8*r + 6*r + (-2*r + 1 - 1)*(-3 + 4 + 0).\nAnswer: 12*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 175125000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/7)\/(7\/(147\/6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-108)\/84)*60\/70.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*g = 5, -5*a = 26*g - 23*g + 3. Suppose a = 15*u - 2*u - 117. Solve -2*x + u = -5*y, 0 = -x + 4*y - 0*y + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022191017 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2 + 220*g + 432 = 0.\nAnswer: -108, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 8*d**2 + 13*d - 105. Let f be s(8). Let g(l) = -l**2 + 11*l + 12. Let v be g(12). Let u(p) = 4*p**2 + 18*p**2 + v + 1. What is u(f)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/12)\/(30*(-22)\/1320)*132?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 24*p + 1. Calculate the smallest common multiple of b(-2) and 21.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -42 (b) 1\/5 (c) -2856\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(39)\/sqrt(3) + (sqrt(13) - (sqrt(1872) + -1)))*2.\nAnswer: -10*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 - 11)*(29*x - 9*x + 9*x) as w*x + a and give w.\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 601937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268664474*t**2 - 134332251*t**2 - 134332225*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-2)\/(-4))\/((-7)\/14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511403915?\nAnswer: 5, 11, 9298253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101443233 - 141?\nAnswer: 101443042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a**2\/3 - 2734*a\/15 - 52\/5 = 0. Calculate a.\nAnswer: -39, -2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 600 = -t. Let h be 2192\/72 - 28\/63. Calculate the greatest common factor of h and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 13. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -j - 4*j - 12, 2*d - 39 = -5*j. Suppose 3*y - 228 = -3*q, 4*y + 425 = 6*q - q. What is the remainder when q is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022131 rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4117 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 + 0.07. Let k = l - -2.92. Let h = -1 + k. Which is the nearest to 0.2? (a) -0.2 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = d - 1 - 5, 3*k + 9 = 3*d. Suppose 184 = -d*m - 2*m. List the prime factors of 2\/(-4) + m\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1711*v**2 + 7*v - 14. Let x(w) = 857*w**2 - 3*w + 6. Let b(i) = -3*g(i) - 7*x(i). Let t(k) = -2*k**2. Determine t(b(c)).\nAnswer: -1499912*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(42\/4))\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(195\/(-13))*(-4)\/(-104).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 2. Let u(d) = 11*d**3 - d**2 + 9*d - 1. Let n(j) = 2*j. Let m(a) = 5*n(a) - u(a). What is the least common multiple of g(-2) and m(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, 0.1, -308.5, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/11 + 4172\/(-44). Let y be (-7)\/(-14) + t\/(-2). Calculate the highest common factor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6239 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 14*u**2 + 2*u + 15. Let s be f(-14). Let j(y) = -17*y - 140. Let l be j(-8). Sort 4, l, s in decreasing order.\nAnswer: 4, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 2*i**2 + i - 3. Suppose 3*o - o = 10. Let n be 2*2*o\/4. Suppose -s + 2*s + 2*t = -1, 2*s + 4 = -n*t. Calculate c(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 3, 291 in decreasing order.\nAnswer: 291, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/12 + 3185*j\/6 + 671350.\nAnswer: (j + 1740)*(j + 4630)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2902807, 2902832, 2902895, 2903014, 2903207, 2903492, 2903887?\nAnswer: 2904410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*u - 696 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47205 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.5, 0.3, -37, 62, 0 in decreasing order.\nAnswer: 62, 0.3, 2\/7, 0, -0.5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4 - 28*b**3*q - 21*b**3 + 35*b*q + 9*q + 1 wrt b.\nAnswer: -24*b**2 - 168*b*q - 126*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2\/7, -2\/21, 0.015?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 99050004 = 5*k, 18*k - 2*x = 17*k - 19809996. What is k rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*s - 22, -3*y + y - s - 6 = 0. Let k = -37 + 38. Let x = k - y. Sort -5, -2, x in decreasing order.\nAnswer: x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146*b**5 - 216 + 2*b**3 - 217 - 2*b**3 + 7*b**2 + 430 wrt b.\nAnswer: 8760*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -5766.\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/12130283 and -61\/4983?\nAnswer: 36390849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413592?\nAnswer: 2, 3, 19, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -232.794 - -233. Round m to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5 + 34*c**4 - 180*c**3 + 324*c**2 + 54*c - 486 = 0. What is c?\nAnswer: -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -50160 divided by -6\nAnswer: 8360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from eesshbmm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1 = -u - 0*h, 3*u - 3*h = 6. Let v be 2*u\/12 - (-275)\/10. Find the second derivative of 3 - v*w**2 + 4 - 7 - 33*w wrt w.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 261475595 and 0.352.\nAnswer: 261475595.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15916 divided by 2?\nAnswer: -7958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4776)\/(-1260) - 72\/20.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -1674\nAnswer: -2\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2*(-204)\/108?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**7\/y)\/y*y)\/(y\/y**(-7\/3))*(y*y**(-9)*y)\/y*y*y**(-1\/3) assuming y is positive.\nAnswer: y**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 6867?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 95?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*n, -j + 29*n = 25*n + 11. Suppose -4 = -2*b, 282 + 7 = j*z - 3*b. List the prime factors of z.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 141*n + 3 + 365*n.\nAnswer: 224*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-19800)\/4690) + (-4)\/22 - 2\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7\/3)*f**(-3\/8)\/f)**(4\/11) assuming f is positive.\nAnswer: f**(-89\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59984?\nAnswer: 2, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (72\/(-234))\/((-2)\/13). Suppose -k*h + 1450 = -3*z, 828 = 3*h + 2*z - 1373. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42726 - 21931. What are the prime factors of r?\nAnswer: 5, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*p = 9762, -2*i + 4*p - 9722 = -4*i. Suppose 12*t - i = 4069. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 700*v**2 - 27060*v + 174240.\nAnswer: -5*(v - 66)**2*(v - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l - 5 + 117. Suppose -l = 4*j, 2*z - j = -4*j. Solve -2*p + z*p = 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 987, 986, 985, 984, 983, 982?\n\"Answer: -m + 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + 14*y + 4. Let b(a) = -4*a**2 - 15*a - 5. Give 5*b(d) + 6*i(d).\nAnswer: -2*d**2 + 9*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 251.94 and -0.6.\nAnswer: 251.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/(-195)*1\/(5 + -2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 2:23 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3\/17 - 660*l**2\/17 + 54112*l\/17 = 0.\nAnswer: 0, 152, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -13585, -2\/11 in descending order.\nAnswer: 0, -2\/11, -5, -13585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 + (5 - -1) + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from inztwkiw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 - 295 = -6*k. Suppose 270*v - 1920 = 266*v. Calculate the greatest common factor of k and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*f - 31 = -7, 2*s = 3*f + 20. What is the third derivative of -24178*z**3 - 50*z**6 + 5*z**2 - s + 24178*z**3 wrt z?\nAnswer: -6000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**5 - 2*d**4 - d**2. Let j(x) = 25*x**5 + 90*x**4 + 251*x**3 + 383*x**2 + 228*x + 40. Let z(v) = 2*j(v) + 18*p(v). Determine t so that z(t) = 0.\nAnswer: -5, -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6)*1*105. Let v(j) = 36*j**2 - 4*j - 3. Let h be v(-1). Let a = h + k. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -w + 119, -1411*a + 1417*a + 15*w = 219 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/52992 - 417367\/2914560. Find the common denominator of k and -29\/6.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102435 divided by -1081.\nAnswer: 102435\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179600.\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 - -131.47. Let q = 3.53 + l. Let t = -0.07 - 0.23. What is the closest to t in q, 0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -105*o + 7. Let j(b) = b**3 + 5*b**2 + 2*b + 8. Let z be j(-5). Let g be q(z). Calculate the highest common factor of g and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 19117, -4\/3, 5 in descending order.\nAnswer: 19117, 5, -3\/8, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6002, -19668, -41000, -69998, -106662, -150992, -202988?\nAnswer: -262650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110 (base 5) in base 6?\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.232 (b) 2 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 x, and 1 f when four letters picked without replacement from {f: 6, a: 1, k: 3, n: 1, g: 1, x: 3}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1617768 = 93*z + 440295. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3*sqrt(51)*-1)\/(sqrt(33)\/sqrt(704)) + -4).\nAnswer: 12 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2453 - -3646. Suppose 3*j = q + 4714. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -813375*d**4*w**3 - d**4*w + 13*d*w**3 - 2*d*w**2 + 2*w**3 + 5003*w**2 wrt d?\nAnswer: -9760500*d**2*w**3 - 12*d**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*v + v = -10, 4*a - v = 8. Let p be (-1*2 + 2)\/a. What is the second derivative of 0*i + p*i - 2*i**4 + i wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 1. Give h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -11. Let v(z) be the first derivative of z**4\/4 + 2*z**3 - 2*z**2 - 18*z + 22. What is the units digit of v(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 48. Suppose -83 - 76 = -3*a. Calculate the remainder when a is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12731290 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -450236\nAnswer: -1\/450236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -846997*t + 423509*t + 423497*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4, -3\/10, 1, 2\/109 in increasing order.\nAnswer: -4, -3\/10, 2\/109, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.1462 - 0.0562. Let y = v - 0.09. Which is the nearest to -2\/7? (a) 0 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 180*o - 175*o - 5, -3*o = -3*r - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m**2 - m + 2. Let t be d(1). Suppose 3*f = t*f - 324. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -95878, -766942, -2588458, -6135670, -11983822, -20708158, -32883922?\n\"Answer: -95874*o**3 + 18*o**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*o = 13, 5*q + 3 = 6*o - 7*o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -63) + 4 + -2. Let d be 46 + ((-4)\/(-1))\/(-2). What is the greatest common factor of t and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o + 3*o - 2*o + (2 - 2 + 3)*(-o + 0*o + 3*o).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 13*q - 657. Let d be t(62). What is the nearest to 1 in 2, d, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2 + 12*b - 6. Let m(l) = -3*l**2 + 8*l - 4. Give 5*k(c) - 8*m(c).\nAnswer: -c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4417892?\nAnswer: 2, 17, 64969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(-48)\/(v**(-1\/4)\/v)**(-5))**(-16) assuming v is positive.\nAnswer: v**(-1436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3 - 1. Let i = -42.9 + 43.097. Let r = i + 0.003. Put a, r, 4 in descending order.\nAnswer: 4, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/12)\/(1\/(-3)). Let k(i) = -3*i + 1. Let r be k(f). Suppose -r*l + 3*l + 13 = 0. Solve 2*a = 2*z - 0*z + 2, 3*a + l = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18921504073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225 + -137. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, -82, -391, -1008, -2035, -3574, -5727?\n\"Answer: -17*c**3 - c**2 + 19*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 108*f**5 - 276*f**4 - 128*f**3\/3 + 1024*f**2\/3 = 0?\nAnswer: -1, 0, 16\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 130*v. Let i(c) be the second derivative of 15*c + 0*c**2 + 3 - 1\/6*c**3. What is b(i(z))?\nAnswer: -130*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gguggggggggg. What is prob of sequence uu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8055*l + 16140*l + 11496*l.\nAnswer: 19581*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 25995*y - 207938. Determine n(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 0, -2762, -5 in descending order.\nAnswer: 2, 0, -5, -7, -2762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -213 or -219?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6*l = -12. Suppose 0 = -7*f + l*f + 5. What is the lowest common multiple of f and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 24\/(-6))\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7 + 13 - 5. Let p(g) = 2*g - 4. Calculate 6*h(v) + p(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, 191, 411, 635, 863?\n\"Answer: 2*o**2 + 210*o - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away 49?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 516133 to the power of 1\/2, to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 2 + (1 - 1). Let o be (-93)\/(-30) - (-2 - -5). Let t = 17\/20 - o. What is the nearest to 1 in p, -1\/6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 - -3 - (-575 + 623).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65, 87, 109, 131, 153?\n\"Answer: 22*u + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*u + 2*u**4 - 1 - 15*u - 5*u**3 + 11*u - 1 + 5 as j*u + t*u**3 + f + z*u**4 + o*u**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 463392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*-3*(6*sqrt(77)*1)\/(-4*-1*sqrt(7)) + 1.\nAnswer: -54*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgg when three letters picked without replacement from rrggrggkrdgkkfkfkzfr.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -8001*v**2 - 6*v + 1. Let c be w(-3). What is c rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267964112.\nAnswer: 2, 13, 661, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22674 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: Put 18, -2, -3, 5 in descending order.\nAnswer: 18, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3279 a factor of 31482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2. Let u(i) = -19*i**2 + i. Give u(k(c)).\nAnswer: -76*c**4 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*z)*(-4 + 4 + 1)*(1 - 1 - 1)*(3*z**3 - 5*z**3 - z**3) + 15*z**3 - 10*z**4 - 15*z**3 to n*z**4 + d*z**2 + q*z**3 + p*z + u and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1639 = 7*j - 18*j. Let f = j + 173. Solve 0 = 5*a + f + 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 38369.73 milligrams?\nAnswer: 38369730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w**2 - 14*w + 3. Let m(s) = -3*s**2 + 5*s - 1. Let i be (1160\/(-60))\/(4\/(-18)). Let o = 76 - i. Calculate o*m(a) - 4*b(a).\nAnswer: -3*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from {g: 7, h: 4, c: 3, k: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/3 (b) -42 (c) -3\/8 (d) 0.039 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 - 2 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -16. Suppose 2*w + 17 = s + g*w, 4*w = s + 7. Suppose y = s*y. Which is greater: 2\/7 or y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.4 (c) -30 (d) 1\/9 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.15 - 0.15. Which is the closest to i? (a) -0.4 (b) 4 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 763193 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*b + 120, -x - 2*b = 4*x - 167. Let n be (-4)\/(-10) - (-2240)\/25. Suppose 0 = -0*p - 5*p + n. What is the remainder when x is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*10\/(-8) + 34?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -204499 - 257702. Let g = -830201 - z. Round g to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -47*s + 27. Give p(8).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 2*p**2 - 7*p**2 + 3*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 57 + 226*d - 226*d - 215*d**2 + 214*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -61, 0, -16, 2, -1498 in descending order.\nAnswer: 2, 0, -2, -16, -61, -1498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-65)\/30)*-6. Let v(h) = 194*h + 1. What is the hundreds digit of v(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518351364 a multiple of 4323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110011011001001 - 1010?\nAnswer: 110110011010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -68, -140, -232, -338, -452, -568?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11267\/25 + 451. Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42715047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 - 100?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 5:40 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**2\/2 - m + 1. Let p(r) = -r**2 - r - 4. Let v = 65 - 68. Let d(c) = v*i(c) + p(c). Factor d(q).\nAnswer: -(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4926, -9802, -14678, -19554, -24430, -29306?\n\"Answer: -4876*j - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10770650873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 443018 (base 10) in base 2?\nAnswer: 1101100001010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -852*c**2*h**3 - 10421*c**2*y + 26*c*h**3*y - c*h**2*y - 2*c*y - 1307*c + 6*h**2*y + h**2 wrt c.\nAnswer: -1704*h**3 - 20842*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*((3*sqrt(76) + sqrt(76) - sqrt(76))\/sqrt(4) - (-5 + -3 + sqrt(19) + sqrt(19) + sqrt(19)))*1)**2*3.\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 498 = -5*z - 464, -3*z - 4*v = -27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2619978 days to hours.\nAnswer: 6.2879472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from {u: 4, e: 3, r: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 860 and 15.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62, -123, -184, -245?\n\"Answer: -61*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**0)**(-24)*g**(3\/7)\/(g*g**(11\/3)) assuming g is positive.\nAnswer: g**(-593\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 5*c + 15 - 71, 3*u - 7*c - 61 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -58 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v - 0. Let b be (-35)\/(-7) + v + 1. Is b > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:55 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39590*w - 22890*w - 2 - 538*w.\nAnswer: -63018*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/48 and 650\/(-330)*9\/24?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, x: 5}. Give prob of sequence xdx.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - h - 203 = 0, 2*p + 2*h = 47 + 27. Suppose 25*w - 26*w + p = 0. Calculate the highest common factor of 140 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*-10 + -3. Suppose 3*u - f*b - 91 = -0*u, b - 130 = -5*u. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 207930.6.\nAnswer: 623791.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 6 - (-136 - -94 - 95).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 278, -23, 10, 26.\nAnswer: -23, 1, 10, 26, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9834146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3333 + 3338. Let f(x) be the third derivative of 2*x**2 + 0*x**3 + 0*x - 13\/60*x**w + 0 - 5\/8*x**4. Find the second derivative of f(m) wrt m.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 134392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 11. Let d be j(8). Let s = -136 - -137. Let y = 91 + -90.96. What is the second biggest value in d, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01956 to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -130*k + 7*k**2 + 273*k - 1 - 136*k + (3*k - 3*k - 2*k**2)*(1 + 1 + 0) + 4 + k**2 - 4 + 5*k**2 + k**2 - 4*k**2.\nAnswer: 6*k**2 + 7*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89073199 - 6038.\nAnswer: -89079237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-15) - (-368)\/(-60). Do -6 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 218, 477, 840, 1307, 1878, 2553?\nAnswer: 3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*d - 2770 - 10870. Suppose -392*q + 397*q = d. Calculate the remainder when q is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*i = 48*i + 670*i + 216*i - 32025 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -250 + 572 + 18*z - 281. Let c be i(-2). Solve -c + 5 = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4 - 222*m**3 + 4116*m**2 + 37240*m - 642096 = 0. What is m?\nAnswer: -126, -13, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.21 - -393.79. Let k = j + -631. Is 0 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 4*t - 2. Let m be q(-5). Let w(z) be the third derivative of -z**6\/120 + z**5\/15 - 5*z**4\/24 + 2*z**3\/3 - z**2. Determine w(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(68) - ((sqrt(68) - 5*1*sqrt(68)) + sqrt(68) + sqrt(68))) + sqrt(68) + sqrt(68))\/(sqrt(4) + sqrt(16)*-3 - sqrt(4)))**2 + 1 + -4)*1.\nAnswer: 317\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 2*v**2 + 0*v**2)*(-v**3 + 3*v - 3*v) + v**5 - v**5 - v**5 + (27*v + 18*v - 15*v)*(-3*v - v**4 + 3*v).\nAnswer: -32*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u + 0*u + u + u**2 - 3*u wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 27. Let y(v) = v**3 - 5*v**2 + 5*v - 1. Let j be y(z). Suppose 0 = -j*c + 8*c - 90. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -182*a + 4096. Give b(22).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 19*j - 55. Calculate the remainder when 130 is divided by t(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 823356.1 to the nearest ten thousand.\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 184\/138 - (-14824)\/6 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 119002.\nAnswer: 5\/119002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21022212 (base 3) to base 4.\nAnswer: 1103132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593964 a multiple of 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 12 = 2*m - 4*m, 4*m = 2*n - 24 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -257, 345, -0.1?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 7) to base 10\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -10*f + 30. Calculate x(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2 + k - 7*k + 5*k. Let b be i(4). Let y be (b\/15)\/((-3)\/(-30)). Which is smaller: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 7*q + 8. Let h be b(-6). Let z(j) = 5*j + 3*j**2 + 0 - 1 - 2*j**h. Let i(c) = -c. Let v(s) = 5*i(s) + z(s). Find p such that v(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*k + 36*k = -3272. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 268 and 6.80667.\nAnswer: 274.80667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 8:14 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-980)\/28*(-5)\/(875\/(-21)))\/((-56)\/120)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(-5 - 1 + 0)*(-d**2 - 3*d**2 + 0*d**2).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 133*s**2 - 246*s - 367. What is the first derivative of r(h) wrt h?\nAnswer: 266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -172960*f**3 + 60*f**2 - 11103361*f.\nAnswer: -1037760*f + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g - 24*g - 33*g)*(1 + 2 - 1)*(-543*g - 8 + 8 - 963*g) in the form r + u*g**2 + w*g and give u.\nAnswer: 183732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 6*q**2 - 5*q + 1. Let y be r(-5). Let f be (-1)\/(-2)*(-1 + y). Solve -2*b + 4 = i, f = -5*i - 3*b - b - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:17 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160*x**3*z**3 + 2*x**3*z**2 - 463*x*z**3 wrt x?\nAnswer: -960*x*z**3 + 12*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -291258 rounded to the nearest 1000?\nAnswer: -291000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1021.6 and -26?\nAnswer: -26561.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-495)*1\/1*(-1)\/(-2).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29.4 and 2.8?\nAnswer: -82.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/4 + 2*w**3 - 7*w**2\/2 + 7*w - 2. Let p be 408\/(-66) + 2\/11. Is a(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a - 4*v - 8 = 0, v + 5 = 0. Calculate the least common multiple of 8 and (-6)\/a*(-8)\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2 - -50) + (-6 - 9) + 18 + -13\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(4\/3)*m*m*m*m)*m**4*((m\/m**(-7)*m)\/m*m*m)\/m*m**9)**(3\/8) assuming m is positive.\nAnswer: m**(53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 309 + -220. Suppose -5*b + 361 = a, b + 0*b - 4*a - s = 0. Calculate the remainder when b is divided by 44.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 21*o - 105. Let c be t(-10). Suppose -5*s - 5*p + 690 = 0, 0 = -c*p + 3*p. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16.13 or 2\/19749?\nAnswer: -16.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10331859 or -10331843?\nAnswer: -10331843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -26*x**2. Let f(y) = 7686860*y**2. Determine f(j(t)).\nAnswer: 5196317360*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 3*m + 3. Let j be a(2). Which is smaller: j or 3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2336485907.\nAnswer: 7, 333783701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 4*h + 6*v - v, -2*h = 2*v - 58. Suppose -25*x - h = -29*x. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-18)*2\/(-4)*(-32)\/(-80)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, u: 4, r: 1}. Give prob of sequence irui.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 400, 797, 1194, 1591, 1988?\nAnswer: 2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 80*q**2 + 0*q + 77*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -3. Suppose 3 = u + 3*i - 2*i, 8 = 4*u + 2*i. Suppose j - u = -4*y, 5*j - l*y = -9*y + 35. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*c + 106, 2*c = 6*u - 2*u + 56. Calculate the least common multiple of 837 and c.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*b + 10000 = -101*b. Solve 0 = 401*d - b*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 8 + 20 = 0. Factor -8 - 9*f**z + 8*f + 18*f**2 - 12*f**2 + 2*f**4 + f**3.\nAnswer: 2*(f - 2)**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.069 + 2.9. Let s = 0.027 - d. Let j = -0.34 + s. What is j rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -735, -780, -827, -876, -927?\n\"Answer: -z**2 - 42*z - 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 4110.286 and 3.\nAnswer: 4113.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29\/10 in -0.4, -0.2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010011011010 (base 2) to base 6.\nAnswer: -111402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a - 9 - 3 + 4 + 13 to the form l + y*a and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d - k + 17, k + 7 = 3*d. Let j = -2 + d. What is the units digit of (-9)\/(j\/(2 - 3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -197, -7, -1 in ascending order.\nAnswer: -197, -7, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660325107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -1. Let a = -136.84 + 137.04. What is the third smallest value in 3\/2, a, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*q - 2*q + 2*a, 2*q = 3*a. Let x = 221 - 221. Put x, q, -4 in decreasing order.\nAnswer: q, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3.84, 0.28386 in descending order.\nAnswer: 0.28386, -1\/2, -3.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 172058629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -611.533?\nAnswer: -611.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14284001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**4\/8 + 2*o**3\/3 - 6*o**2. Let q be g(-6). Let z = q + 19. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:38 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 16. Let z(q) = 4*q - 3. What is z(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4 + 50 = 6*m - 4*c, -17*c = 5*m + 248 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/10*5\/(-2). Suppose -4*a = -2*x - 14, 3*a + 2*a + 2*x = 31. Suppose 3*c - 125 = -c + 5*q, a*q = -y*c + 85. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-200)\/36)\/5 - 28732\/(-198). What is the greatest common factor of a and 1071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-21*1\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.4, -27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -305700 rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10238 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -136*s**2 - 1362*s - 17. Let m be j(-10). Which is the nearest to -0.2? (a) m (b) 2.4 (c) 2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130004034 divided by -43334678.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -183, -19, 249, 615, 1073, 1617, 2241, 2939?\n\"Answer: -m**3 + 58*m**2 - 3*m - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7974054 divided by 34.\nAnswer: 234531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**5 + 4870*z**4 + z**2 - 65*z - 11?\nAnswer: 20*z**3 + 58440*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shzrrrrz. What is prob of sequence rrzr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -5)*-13 - 2. Suppose 0*w = w - q. Let p = w + -7. Solve 6 - 26 = -p*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/12 (b) -13 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u + 4*s - 42, -u - 3*s = 35. What is the hundreds digit of 16539\/23 + u\/437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3 - 1. Let d be -1 - (3*v)\/2. Solve 4*o + 16 = 2*w - d, -4*o + w = 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 4*v**2. Let c be u(4). Solve -3*b - 3*q + 3 = -c*q, 4*b - 4 = -2*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 10:23 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {y: 1, b: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(343) - (sqrt(343) + 0 + sqrt(343))*-5)*-3)**2.\nAnswer: 9338175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 580 and 19169.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4321*z - 37*z**2 + 4321*z. Let o(m) = -5*m + 2*m + 2*m. Give x(o(n)).\nAnswer: -37*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31056, 62161, 93266, 124371, 155476?\nAnswer: 186581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - g + 111 + 4, 80 = 2*h - g. Let b = h + -21. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 11, c: 2}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 2*p - 123, 0 = y + 4*p - 2882 + 2933 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1134 and 1836?\nAnswer: 38556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(187\/17))\/((-1)\/(-7))*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*y - y + 4*y)*((0*y - y + 4*y)*(2 - 3 - 1) + 2*y - 3*y + 0*y).\nAnswer: -7*y**2 + 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z**3 - 11*z**2 - 8*z + 8. Suppose -2 = b - 7. Let t(n) = 6*n**3 - 7*n**2 - 5*n + 5. Calculate b*s(j) - 8*t(j).\nAnswer: -3*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 11:21 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14*-295696\nAnswer: 4139744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*l - 14*l - 3*l + 8*l + 39*l.\nAnswer: 74*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/13))**8\/(p**(-13)\/p**(-37)))**(-34) assuming p is positive.\nAnswer: p**(11152\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/4 - 579*j**2\/2 - 4584*j - 18272 = 0. Calculate j.\nAnswer: -1142, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from qpqqqqpqqp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 18*(-24)\/18. Let p be (-146)\/(-30) + 12\/90. Calculate the greatest common divisor of p and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s**2 + 3*s + 4. Suppose 4*c + 10 = -c. Let z = -30 + 43. What is the remainder when f(c) is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) - (-4*sqrt(152) - sqrt(152))) + sqrt(152))*-4 - 2*sqrt(152)*-4)\/(sqrt(48)\/(sqrt(12)\/sqrt(2)) + 1*-2*sqrt(8))*-6.\nAnswer: -120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 23?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 1. Let w(j) = j**2 + 5*j + 1. Suppose g + 2*g = -12. Let q be w(g). Let c be (q\/(-4))\/(2\/8). What is b(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 3*o - 5. Let h(l) be the first derivative of -4*l**3\/3 - 7*l**2 + 26*l - 12711. Let a be (-1 + -2 + 6)\/(-1). Give a*h(u) - 14*g(u).\nAnswer: -2*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f**2 - f + 2. What is g(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3715*g = 3723*g - 36816. What is the smallest common multiple of 26 and g?\nAnswer: 4602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 661*i**3 - 127*i + 241427 wrt i?\nAnswer: 1983*i**2 - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 132*m - 1. Is h(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 259 + -213. Suppose 2*d - 58 = -12. Calculate the greatest common divisor of d and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 11 - 3)*(-2 + 2 - 3) + (2 - 7 - 1)*(1 - 2 + 0))*(-4*s - 5*s + 0*s + (-1 + 2 - 3)*(s + s + 0*s) - 4*s + 2*s + 3*s) as y*s + l and give y.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 16 = -89. Let t = 51 - x. Calculate the remainder when t is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537853.8t in nanograms?\nAnswer: 537853800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 271825 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/693 - -2119\/13860. Which is greater: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -67. Is 20 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4 + 589\/342?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 4*r + 8, -1 = 5*r + 14. Let q(n) = -n**3 - 4*n**2 - 2*n. Let t be q(-4). Let y = t - a. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -2*c + 5*b + 394, 0 = 2*c + 2*b - 658. List the prime factors of c.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t**2 - 31*t - 6. What is i(-5)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1027.99.\nAnswer: 2055.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3 - 372*k**2 - 2440*k + 6336 = 0. What is k?\nAnswer: -8, 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4)*2 - ((sqrt(2) + sqrt(6)\/sqrt(3) + -4)**2 - sqrt(2))) + 2 + sqrt(18) + (sqrt(288)\/sqrt(9))**2.\nAnswer: 10 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.1, -0.2431, -3\/7, 2\/9, 2?\nAnswer: -0.2431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105429?\nAnswer: 3, 113, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 1006.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r**2 + 0*r**2 - 6*r**2)*(-83*r - 23*r**2 + 15*r**2 + 3*r**2) to the form j*r**3 + p + x*r + m*r**2 + g*r**4 and give g.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 49*g + 46. Determine m(52).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 10 = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.962477 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 5*s - 5*q - 61, -3*s + 4*q = -65. Which is greater: -4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**3 + u**2. Let n be h(1). Let z = -6 + 10. Suppose -z*d + d + n = 0. Sort -4, 1, d.\nAnswer: -4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -12\/5087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - 3) + -4 - (5 + -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18.829*-81913\nAnswer: 1542339.877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90923241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 11*v. Let h(m) = 118*m**2. Determine z(h(n)).\nAnswer: 1298*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -111, 17 in descending order.\nAnswer: 17, 2, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3332*s**3 + 3332*s**3 + 16*s**4 - 5 + (-3*s**2 + 2*s**2 + 2*s**2)*(-3*s**2 + 6*s**2 - 2*s**2).\nAnswer: 17*s**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 33\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/15)\/k**(-2\/15)*k\/k**(3\/5)*k**(-3\/2))\/((k**(1\/6)\/(k*k*k\/(k*k\/(k*k\/((k*k*k\/(k*k**(-4)))\/k)))*k))\/(k**4\/(k*k\/k**1*k))) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 393, 811, 1229?\n\"Answer: 418*l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.3 - 3.06. Let n = -203 + 201.29. Let b = n - i. Round b to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 6*a - 9. Suppose 2*m = 49 - 39. Suppose -45 = -m*b + 3*g - 12, -g = -b + 7. Calculate q(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1198, -3, 4, 20, 21 in descending order.\nAnswer: 1198, 21, 20, 4, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 47634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046931887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 434, 2778, 8670, 19742, 37626, 63954, 100358, 148470?\n\"Answer: 272*r**3 + 142*r**2 + 14*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*i**3\/7 - 5184*i**2\/7 + 67608*i\/7 - 208224\/7.\nAnswer: -2*(i - 6)**2*(25*i + 2892)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 19 + 29*s - 50.\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c - 121 = -47*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*c**2 - 45*c**2 - 87*c**2 to o*c**2 + k*c + i and give o.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 130 - 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 4.3\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2401 + -1806. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 10684656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 29584 = 4*n. Let q(c) = 187*c**3 - c + 2. Let a be q(2). Let l = a - n. Round l to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/5 + 1053*n**2\/5 - 423*n + 1059\/5.\nAnswer: 3*(n - 1)**2*(n + 353)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 6*a + 2*a)*(-6*a**2 - 52*a**3 - 3*a**2 + 8*a**2 + 275*a**3).\nAnswer: -669*a**4 + 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8804661.91 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3823*x**3 + 2587*x**3 + 1844*x**3)*(5*x + 2*x + x).\nAnswer: 4864*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 475 and 0.366467.\nAnswer: 475.366467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177577*l**2 + 5349*l**2 + 25106*l**2.\nAnswer: -147122*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 15 = 4*q, -25 = 2*q + 3*q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 7*t - 52. Determine u(7).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2002983896.\nAnswer: 2, 2801, 89387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -848*n + 4. Let m be d(-5). Suppose -4*i + 2*u - 3*u + m = 0, -2*i - 3*u = -2122. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = l + 5*b + 23, 18 = -l - 4*b. Suppose -k - l = 4*p, 6 = 5*k - 2*p + 6*p. Suppose -k*c - 455 = -5*h, -361 = -h - 3*h + c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - x = -1, 5*x - 3*x - 1 = -3*h. Suppose 0 = -440*y + 452*y - 36. Solve h + 0 = 2*c - y*k, -7 = -3*c - k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75 - 24?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 3*h + 2*h)*(54*h - 54*h + 24*h**3) - 3*h**4 + 3*h**4 + 2*h**4 + 24*h - 42*h + 2*h**4 + 22*h.\nAnswer: -44*h**4 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1461, -1594, -1799, -2076, -2425, -2846, -3339?\n\"Answer: -36*y**2 - 25*y - 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1. Let d(h) = h. Let v(l) = -d(l) + 2*k(l). Calculate the smallest common multiple of 10 and v(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -1410.7.\nAnswer: -1405.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) 12 (c) 10.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**7\/280 + o**5\/120 - 2*o**4\/3 + 3*o. Let l(w) be the third derivative of s(w). What is the derivative of l(j) wrt j?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4444 - 11*h + 10*h - 4*h + 6749 + 6*h.\nAnswer: h + 11193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 237744 and 73152?\nAnswer: 950976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -85a389 (base 12) to base 9\nAnswer: -3868286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103127 + 48882101\/474. Find the common denominator of h and -87\/2.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209877.\nAnswer: 3, 69959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 83\/77 + (170\/(-10))\/((-7497)\/126)?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) - -1*sqrt(180)*-6.\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3265, 0, -2, 754.\nAnswer: -2, 0, 754, 3265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10329.8 and 9600212?\nAnswer: 9589882.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 23276 (base 15) to base 4\nAnswer: 123111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -76\/5, 3\/7, 2.\nAnswer: -76\/5, 3\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 1. Let d be r(2). Let y be 3*((-20)\/(-12) - d). Find the third derivative of -o**y - 4*o**5 - 2*o**2 - o**2 wrt o.\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -18. Suppose 28*m = 18*m. Suppose m = 2*i - 5*k - 27, -4*i - i + u*k + 30 = 0. Sort -3, i, -2\/7 in decreasing order.\nAnswer: i, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44131428293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 7*m - 4. Suppose -2*j + 44 = m*j. What is the remainder when 30 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 4*o - 3. Let s = o + -19. Are s and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14815701341+2\nAnswer: 1.85184298659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389870 to the power of 1\/2, to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 + 2*s + 2. Let z be 7*6\/(-105)*5. Let v = -4 - -7. Suppose 2*u - v*u = -3. Let l(p) = -p**3 + 4*p**2 + 3*p + 3. What is u*c(o) + z*l(o)?\nAnswer: 2*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1199*c**3*f**3 - 4*c**3*f**2*z**2 + c**2*f**2*z + 783*c*f**3*z**2 + 7*c*f**2 + 2*c*f + 1317*z**2 wrt f.\nAnswer: -7194*c**3 + 4698*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + (-3)\/90*201 - -7?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**3 + 14*q**3 + 16*q**3 - 13*q**3.\nAnswer: 29*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**6 - 399192*k**3 - 141057*k**2 wrt k.\nAnswer: -240*k**3 - 2395152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:41 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 10*i**2 + i + 2. Let z(h) = h**2 + h. Let y(q) = -u(q) + 5*z(q). Let c be (4 + -2)\/(1\/2). What is y(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/7 - 3300*n\/7 + 13168\/7 = 0.\nAnswer: 4, 1646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2549\/2272 or -1?\nAnswer: -2549\/2272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 7*b**3\/3 - 30. Let x(z) = 3*z - 5*z + 4*z. Give m(x(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1442 and 37652062?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 153 - 46. Suppose -21*o = -22*o + g. What are the prime factors of o?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l. Suppose -k - q - 9 = l, 3*k - 2*k - 3*q + 21 = 0. Let z = 7 - k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 928 and 116.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 14. Let j = 0 + h. Suppose -2*c + j = 3. Solve 10 = -4*i - c*t, -3*i + 3 - 9 = 3*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.376 + -0.476. Which is the fourth smallest value? (a) h (b) 0.5 (c) -13 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4878*a**2 - 2319*a**2 - 2563*a**2 + 4 - 4.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9152946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1097872, -1097877, -1097884, -1097893, -1097904, -1097917, -1097932?\nAnswer: -1097949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b78a1 (base 16) to base 8.\nAnswer: -2674241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsssfysnnrrryss. Give prob of picking 2 f.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000353311 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by 106288.\nAnswer: -89\/106288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2494 and 1161?\nAnswer: 67338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 50864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2149 in -10, -0.9, -2\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -122, -276, -492, -770, -1110?\nAnswer: -1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(-6*5*(sqrt(304)*-1 + 2)*-2)**2 + 5.\nAnswer: -22175995 + 1152000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 - 1 + 1 + (-5*q**3 - q**3 + 5*q**3)*(-3 - 2 + 3) - 11797*q**2 - 266*q**3 + 11797*q**2 - 2*q**2 - 2*q**3 + 2*q**2.\nAnswer: -265*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 43*y + 0*y + 6 - 24*y - 15*y. Suppose 0 = 4*h - 2*d + 10 + 22, 25 = -5*h - 5*d. Determine o(h).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 77.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 386*y - 110*y + 26*y - y**3.\nAnswer: y**3 + 302*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17066.\nAnswer: 2, 7, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37586, -150358, -338316, -601454, -939766, -1353246, -1841888?\nAnswer: -2405686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 3, -9002, -3, -4 in descending order.\nAnswer: 21, 3, -3, -4, -9002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i = -371*i - 23028 - 4032 for i.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**2 + f**2)*(0*f + f - 2*f) + 3*f**2 - 6*f**3 - 3*f**2 + (2*f**2 - 6*f**2 + 3*f**2)*(0*f + 0*f + f) - 2*f**3 + 3*f**3 - 3*f**3.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*g - 44*g - 16*g)*(-1 + 1 + g) + 0*g + g**2 + 0*g.\nAnswer: -46*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 3*b**2 + 2*b**2)*(-9 - 144 + 21) + 4*b + 2*b**2 - 4*b.\nAnswer: -394*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4513?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147704755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 0*h - 9*h**2 + 17\/36*h**4 - 289\/18*h**3 + 0 - 1\/180*h**5. Find y, given that q(y) = 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5410981 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3232060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -o - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + s**2. Suppose 3*w - 9 = -0. Let f(g) = -6*g**3 - 5*g**2. Let r = 35624 - 35623. Give r*f(t) + w*i(t).\nAnswer: -3*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8430 and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*2*-1 + (1 + sqrt(208))*4 + 1)**2.\nAnswer: 80*sqrt(13) + 857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 + 0)*(4*h**2 - 3*h**2 - 3*h**2).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -3*v + 4*o + 22, 0 = -3*v + o - 20. Let g be (-39)\/v - 1\/2. Let d = 14 - g. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p. Let v(c) = -21*c - 25*c + 32*c. Let n(x) = 9*h(x) - 2*v(x). Suppose 2*q + 3*q + 5 = 0. What is n(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**6\/30 - y**5\/60 + y**3\/6 - 35*y**2 + 2*y + 5. Let k(f) = -10*f**3 - 2*f**2 + 2. Determine -5*k(c) + 12*m(c).\nAnswer: 2*c**3 - 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(2*sqrt(12)))\/(-1*1*sqrt(4)) - (-5 + (sqrt(3) + sqrt(3) + 2)*1 + -5).\nAnswer: -5*sqrt(3)\/2 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*r - 47*r - 163*r + 6861 - 6858 + 27*r - 124*r.\nAnswer: -338*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/143 and -74\/75309.\nAnswer: 828399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + -5*6*(4*sqrt(11))**2*1*3.\nAnswer: -15837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*j**3*r + 2*j**3 - 171*j**2*r*v + 338*r - v wrt j?\nAnswer: 12*j**2*r + 6*j**2 - 342*j*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*p = 72, p = 5*p. Suppose 4*u - z = u. Let t be -2 - u\/(-9)*-3. Sort t, 0, 4.\nAnswer: t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 40. What is the remainder when v is divided by 3\/((324\/288)\/(60\/16))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/13, -1\/3, 0.3, 1.7 in increasing order.\nAnswer: -1\/3, -3\/13, 0.3, 1.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 89569500 divided by -597130\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -14*d + 17*d + 2*y, -4*d - 3*y = 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-60))\/(1\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 4*k**2 + 4*k + 3. Let v be o(-3). Let c be 3 + -3 + v\/((-16)\/(-4)). Solve -4*a = -4*w - w + 33, c = -5*a - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r**3 + 15*r**2 + 145. Let g(w) = 4*w**3 + 7*w**2 + 72. Let i(y) = 7*g(y) - 3*q(y). What is the derivative of i(t) wrt t?\nAnswer: 3*t**2 + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 (base 12) in base 9?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -32. Let q(l) = 6*l**2 + 7*l - 8. Is q(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.154? (a) -3 (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 at most as big as 6\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*c = 1015 - 933, -k + 18 = -c for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -46*m - 86. Give u(-4).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(6) + 1*sqrt(36)\/sqrt(6))*1)\/(2*(sqrt(2) + 2*sqrt(2)) + (sqrt(2) - sqrt(20)\/sqrt(10)*1)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 19*i**3 - 18. Let x be (-6 - 2)\/((-4)\/2). Let f(b) = -39*b**3 + 35. Let v(p) = x*f(p) + 9*u(p). What is the first derivative of v(z) wrt z?\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25884\/(-21) + (-2086)\/(-149). Which is smaller: -1219 or t?\nAnswer: -1219","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-8)*2 - 9\/((-45)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 3)*(108*l**2 - 108*l**2 + 17*l**4) + (-23*l**2 - 171 + 171)*(l**2 + 0 + 0) to the form j + w*l**4 + t*l**3 + o*l + f*l**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 597740550*d**3*h - 16*d*h - 22491843*d wrt d?\nAnswer: 3586443300*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (10 + -2 - -9) - -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -237866, -475732, -713600, -951470, -1189342, -1427216?\n\"Answer: -y**2 - 237863*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -396956 divided by 99239\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/11 and -3\/4704941.\nAnswer: 51754351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 308 and 539.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5957624?\nAnswer: 2, 53, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1873091 - -1872825.99732. Let i = x + 265. What is i rounded to four decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -8 + -3 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -78 = 830764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 - 1. Let y = p - 0.5. Which is the closest to y? (a) 0.2 (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 27*a**3 - 2*a**2 - 520*a + 7. Let h(s) = 29*s**3 - 3*s**2 - 524*s + 4. Let y(x) = -3*h(x) + 2*t(x). Find the second derivative of y(u) wrt u.\nAnswer: -198*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8347657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/304 and -25\/209.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from lyyylylylllllylylll?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 67708658569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmlllmllg. What is prob of sequence gml?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in years?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2857*a**3*i**2 + a**3 + 3*a - 7*i wrt i.\nAnswer: -5714*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 14*i. Which is the fourth biggest value? (a) -0.1 (b) 2\/11 (c) -0.3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 3*x**2 - 3*x**2)*(2 - 3 + x - 2*x).\nAnswer: x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 86851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3b46b6 (base 14) to base 11\nAnswer: 1179a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**3\/2 - 3*p**2 + p. Let a be 2 + ((-4)\/(-2) - 3). Let n be (-1)\/(a\/3*1). Let c(u) = 2*u - 5. Determine n*k(y) + 4*c(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o - 38*o = 64. What is the smallest common multiple of o and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 145569 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -c + 5. Is 6 a factor of c\/162 + (-101)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(3*d + d**2 - 3*d) + 2*d**2 - 2*d**2 - 2*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 77. Let q(n) = 195*n**2 - 2 + 1 + n - 93*n**2 - 100*n**2. Let d(b) = 5*b**2 + 2*b - 2. Let k(y) = -d(y) + 2*q(y). Give z(k(l)).\nAnswer: -l**2 + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -3)\/((-1)\/(-83)). Let k = -4 + c. Let a = k - 60. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -19*o - 150. Determine a(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/1184285 and -77\/30.\nAnswer: 7105710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -80? (a) 2\/5 (b) 3\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1349 + 0.3?\nAnswer: -1348.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 23*d = 21*d - 126 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510*c + 3640 = 515*c. What is the highest common divisor of 28 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 11, 26, 57, 110?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 1. Let f(o) = -6*o**2 - 5. Let s(l) = -5*l + 3. Let m be s(-2). Suppose 17*b = m*b - 4. What is b*f(z) + 5*p(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*i = -25, 0 = -6*i + 9*i - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 - -3. Let u = 18.5 - 18. Suppose -3*l + l + 18 = -4*o, -25 = -5*l. Which is the second biggest value? (a) o (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s**2 + 7. Let t(a) = a**2 - 1. Let h be 9 + (-4)\/(16\/(-20)). Let v(k) = h*t(k) + 2*x(k). Let q(m) = -9*m + 1. What is v(q(c))?\nAnswer: 162*c**2 - 36*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.016 + -45.016. Let c = 0.41901415 - 45.41907615. Let k = c - p. What is k rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i = -1028 + 4562. What is the highest common divisor of 627 and i?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72310?\nAnswer: 2, 5, 7, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 2*x - 20, -2*f + 24 - 16 = -2*x for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -389 + 1020073?\nAnswer: 1019684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 - -6 - 1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j - 3. Calculate n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by (2 + -47 + 0)\/(2 - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -5.4, 0.2, 3\/2, -0.08?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12002 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21\/16, -11, -4, -5, -28\/5?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 2, 6 in increasing order.\nAnswer: -5, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 266 + -145. Is 37 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*i - 19 + 34 = 0, -4*i = -4*n. Suppose n*p - 1870 = 4*h, -3*h - 2500 = -4*p + h. Does 70 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*l - 11, 0 = -2*n - l + 89. Calculate the remainder when 314 is divided by n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 15508410.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o + 660. Let g be o\/8 + 1 + -2. Let h = -40 + g. Which is the closest to -3? (a) h (b) 0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*n**4 - 2*n + 33 wrt n.\nAnswer: -168*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 4 + 2*j)*(-1 + 1 + j) + j**2 - j**2 + 2*j**2 + 190*j**2 - 128*j**2 - 96*j**2)*(6 + 6*j - 6) to the form s*j + g + p*j**2 + z*j**3 and give z.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -7 + 17. Put 4, d, -41, 5 in ascending order.\nAnswer: -41, d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 1744433*i + 3488785*i + 2*i**3 - 1744352*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -2\/5, 1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*l**4 - 27*l**3 + 2*l**2 + 64016*l?\nAnswer: 672*l**2 - 162*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 82. What is the common denominator of (39\/(-112))\/(o\/16) and 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1203103 (base 4) to base 2\nAnswer: 1100011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p**2 + 2 + 15*p - 13*p - 13 - 7*p**2. Let c be v(-5). Solve -c + 6 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113.6 + 10975.06\nAnswer: 10861.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -5, 5, -206, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-252)\/(-98))\/((-3)\/(-14)). List the prime factors of j\/2 - (-6 + 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b158 (base 12) in base 16?\nAnswer: 18f14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171*i**4 - i**3 - 315*i wrt i.\nAnswer: -2052*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i - 2. Let l = -18 + 12. What are the prime factors of w(l)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3.7. Let q = -0.36 - 0.64. Which is the nearest to m? (a) 3 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {i: 2, p: 3, k: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 0*f - 1\/12*f**3 - 3 + 1\/8*f**2. Factor o(y).\nAnswer: -y*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2018526*h**2 + 248392*h.\nAnswer: -4037052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, -20, -148, -400, -818, -1444?\nAnswer: -2320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/(-18) - (-1229189)\/117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 18*g**2 - 53*g + 171. Let p be a(21). Is 382 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q**2 + 112*q - 78. Give b(13).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, 122, 449, 1084, 2129, 3686?\n\"Answer: 17*p**3 + p**2 - p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i - 1 + 1)*(-2 + 0 - 2) - i - 10*i + i)*(2*i + 0 + 0)*(-1 + 3 + 4).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o - 20. Does 2 divide u(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397249?\nAnswer: 7, 29, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose -j + 8 = n. Let a(t) = 2*t - 8. Let z be a(n). What is the greatest common factor of 32 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24014 - -38327. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*s + 3, -22*s = -5*b - 19*s - 7. Sort b, 0, -1, -54 in increasing order.\nAnswer: -54, -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*-3*3\/(-9) - 2. Let x(c) = -9*c - 8. Let l be x(k). Suppose -3*o - 22 + l = 0. Solve -3*z - o*d + 11 = 0, 2*z + 7*d - 2*d = 22 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -340542 + 3?\nAnswer: -340535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 250 = 310. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4106 - 136.\nAnswer: 3970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) 0 (b) 0.5 (c) -0.4 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59090\/17 - -3476. Let w = 51 + -56. Which is the smallest value? (a) -18 (b) -3\/7 (c) w (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 508.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 62*h - 9*h - 156*h + (2 + 2 - 2)*(-1 + 1 - 2*h) as u*h + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7847.771 millennia to centuries.\nAnswer: 78477.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -32*t + 36. Which is the nearest to -1\/5? (a) 10 (b) -4 (c) t (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-56) - 76\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -653515*w**3 - 2178629*w**2.\nAnswer: -3921090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**6\/120 + 7*t**5\/30 + 7*t**4\/12 + 3*t**3 + 12*t**2. Let l be m(-13). Solve 5*o = 4*j - 3*j - 21, -l*j + 4*o + 21 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/11 - 3630188*i\/11 - 3630166 = 0. What is i?\nAnswer: -1815083, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/5085 and -59\/1130?\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-5))\/(4\/10). Let i = h - 1. Let y(f) = f + 1. Let q be y(i). Solve 4*l = -3*s - s, -q*s = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41234.57ml?\nAnswer: 41.23457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100101010101011101 + -110?\nAnswer: -1101100101010101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73998359837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*o = 5*q, -4*q + o = 0. Let n = 1\/136 + -281\/1224. Which is the smallest value? (a) n (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -5\/6*v**3 - 1\/24*v**4 - 8*v**2 + 0*v + 0. Calculate w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.04 (b) -0.5 (c) 0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 = -30*b + 16 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 7)*(-727 - 185 - 589 + 333)*(-3*a + 7*a - 3*a) in the form o + k*a and give k.\nAnswer: 9344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 246\/11 = -20\/5961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 150464*g + 2106683. Give n(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 217211 (base 8) to base 15\nAnswer: 16b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 264 - 94. Suppose -7*m = -2*m + l. Let x = m - -56. Calculate the remainder when x is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in 3, 0.14, -5, -0.5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2780106812?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5\/11 - 66*r**4 - 1460*r**3\/11 = 0.\nAnswer: -2, 0, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -51 - 25*g**3 + 92 + 72*g**3 - 41 + 3*g. Let s(w) = -2*w**2. Determine s(b(f)).\nAnswer: -159048*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-2 - 4 + 2)*(t**3 + 5 - 5 + (-4 - 2*t**2 + 4)*(4*t - 2*t + 0*t) - 2 + t**3 + 2).\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2005 - 1036. Let h = r - 969.000533. Round h to 5 dps.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, j: 1, s: 6, t: 9}. Give prob of picking 1 s and 2 t.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n - 41*n + 20*n + 29*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**1\/x*x)**(-49)*((x*(x**(-2\/17)*x)\/x)\/x)**(-34) assuming x is positive.\nAnswer: x**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 5, 4, 2207 in increasing order.\nAnswer: -4, -2, 4, 5, 2207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 199\/24*a**4 + 0*a**3 + 0*a + 0 - 84*a**2 + 1\/30*a**5 + 19\/12*a**6. Find the second derivative of m(h) wrt h.\nAnswer: 1140*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/346 + 893\/9688. Are n and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5 + 11*c**4 + 55*c**3 + 73*c**2 + 30*c = 0.\nAnswer: -2, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 2*o**3 - 2*o**2 - 4*o**3 + 4*o**3 + 2*o**3 + (53*o**2 + 10*o**2 - 355*o**2)*(-4 + 2*o + 4).\nAnswer: -584*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 531700, 531705, 531712, 531721?\n\"Answer: b**2 + 2*b + 531697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15305, 30611, 45919, 61229, 76541?\n\"Answer: m**2 + 15303*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 + -134. Suppose 76 = o*z - 370. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txtttbtttbx. What is prob of picking 2 b and 1 t?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/3, 5, -15791, 0.3, 69?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.046 and -2.2.\nAnswer: 0.1012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15878 + -15877. What is the closest to -122\/5 in v, 1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Let x(s) = 26*s + 24. Let y(p) be the second derivative of -25*p**3\/6 - 12*p**2 - p - 176. Let u(g) = j*x(g) + 3*y(g). Differentiate u(k) wrt k.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*8\/(-6). Let r = -0.4425 - -0.3425. What is the second smallest value in r, 2\/9, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19107615?\nAnswer: 3, 5, 47, 27103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h - 5. Let i be p(2). Suppose -i + 0 = -m. Suppose -4*j = k - 11, -4*j + 11 + 6 = -5*k. Calculate the lowest common multiple of m and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14728 + -176593\/12. Calculate the common denominator of k and -33\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Let a = h - -2. Solve -4*i - a = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 252, 320, 394?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.1149 (b) -4 (c) 0.4 (d) 5 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*d - 8. Let q(l) = -11*l**3 + 8*l**2 - 4*l - 25. Let k(t) = 5*t**3 - 4*t**2 + 2*t + 12. Let f(n) = 13*k(n) + 6*q(n). Give f(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9738.266ml to litres.\nAnswer: 9.738266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (6 + -3 + -2) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57818 is divided by 11557.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336729 is divided by 21045.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: (-8)\/(-2)*(-690)\/(-552)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -95.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 17 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-245)\/(-10)*16\/(-442). Let n = 10\/13 + f. Which is the smallest value? (a) 0.5 (b) n (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/67 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -3) + (-9 - -9). Suppose 4*j + 3*c + 2*c - 190 = 0, q*j + c - 137 = 0. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(4\/(-24)*-3*4). Suppose f = -6*w - 622 + 94. Is w <= -88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-34)\/(-3))\/(6\/45). What is the greatest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15542, 55038, 118492, 205910, 317298, 452662, 612008, 795342?\n\"Answer: n**3 + 11973*n**2 + 3570*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -d - 22, -9*t + 7432 - 7534 = 5*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 4)\/(3\/9). Solve j*q = 5*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1106*w**3 - 557*w**3 + 1386*w**3.\nAnswer: 1935*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 25*w. Let t(g) = 7*g. What is q(t(z))?\nAnswer: 175*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 4*l**2 + l - 3. Let r be (0 - -2)*9\/(-6). Let p be j(r). Suppose -2*d - 10 = p*d, -6 = -4*a - d. Solve -3*h = -a*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h - 728. What is the remainder when 216 is divided by y(-85)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o + 114 = 9*o. Solve -5*x - 2*h = o, -4*h = 3*x + x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12918 is divided by 70.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 4 - 1)*(-y + 2*y + 9*y) to the form z*y + u and give z.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2253*c = 45997 + 75665 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from {j: 2, u: 1, f: 1, h: 1, r: 1, z: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7 - 3 - v + 3. Let b(o) = 2*o + 7. Let r be b(-5). Let s be (3\/(r\/(-5)))\/(-1). Determine i(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5807735465 to the nearest integer?\nAnswer: 76208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 88*a + 1904. Let k be n(-38). Solve -4*d + 43 = 2*u + 47, 4*d = -4*u - k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/15210 and -109\/36504.\nAnswer: 182520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.6 + -0.6. Let r = w + -1.9. Let f = -12.4 + 12. What is the second smallest value in f, 2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -54. Factor -97*u**y - 56*u + 42*u - 23*u**2 - 61*u - 10 - 55*u**3.\nAnswer: -5*(u + 1)**2*(11*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**3 - i**2 + 2*i - 1. Calculate m(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2679 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 z, 1 k, and 1 q when four letters picked without replacement from {l: 4, k: 1, h: 2, q: 1, z: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*h - 298*h - 309*h = 314*h + 60005 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10972 divided by -6\nAnswer: 5486\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 9*r + 54 = 0. Let z = -49 + r. Solve 5 = 3*w + g, z*g - 12 - 3 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14798, -29148, -42550, -54530, -64614?\n\"Answer: 79*y**3 - 14903*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/26*2 - (-2 + -3)) + 20152\/572.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -224858513*n**3 + 199*n**2 - 152419 wrt n?\nAnswer: -1349151078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17356 + 0?\nAnswer: -17356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -6. Suppose 10 = 2*f, b*k - 2*f + 6 = 5*k. Let t be ((-6)\/(-4))\/(3\/(-4)). Is t at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178 + -178.4. What is the nearest to 1 in 1, -2, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2955831 divided by 3?\nAnswer: -985277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (42458\/(-8))\/((-76)\/32). Let x = h + -2234. Suppose 5*l = -3*t - 25, -2*t - 3*l + 8*l + 25 = 0. Which is greater: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -39 + 11 + 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**9\/378 - 23*v**5\/60 + v**4\/24 - 17*v**3\/6 + 26*v**2. Let o(y) be the second derivative of i(y). Differentiate o(d) wrt d.\nAnswer: -160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 - 181. What is the smallest value in 5, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1032 + 243?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 4. Suppose 2*k + 4*n = 46, 0*k + y*n = k - 43. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33499*b**6*i**3 + 2*b**4*i**3 + 13*b**2*i**3 - 3443*b**2*i**2 wrt b?\nAnswer: -4019880*b**3*i**3 + 48*b*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 - 2*w - 16. Let f be s(-4). Let y be (-8)\/10 - (2 - f\/40). Let h(j) = -4 + 3 - 5*j**2 + 0 - 2*j. Give h(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 268 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*s = -30396, 2*s - 60798 = -2*y + s. What is y rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -6 + 12. Find the third derivative of -3*n**3 + 5*n**b - 3*n**2 - 4*n**2 + 6*n**2 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -28. Sort -0.07, 0, g in increasing order.\nAnswer: g, -0.07, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 4*u + 5. Let n be j(-5). Suppose 2*i + 3*i = -2*b + 13, b - 4 = n. Let p be (-3)\/(-1) - 11\/11. Solve i = o + p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 75*i - 1252. Determine u(-27).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 16527520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-24)*-184*9\/(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*d = 51, -4*t + 93 = -0*t + 3*d. Suppose -29*a + t*a + 5435 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*v - 108*v = 0. Let b(s) be the second derivative of -1\/3*s**3 + v + 0*s**2 - s. Let m(k) = -6*k**2. Calculate m(b(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -55 - (-3 + (-32 - -2))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/65 and 73\/936.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) 6 (c) 4 (d) 2498 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -1. Let l(a) = -4*a**2 - 2*a. Let q(y) = 21*y**2 + 11*y. Let b(s) = r*q(s) - 11*l(s). Let m(h) = -2*h**2. What is b(m(x))?\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1.1335.\nAnswer: 4.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r**3 - 2*r**2 - 2*r + 7. What is the tens digit of s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170477b (base 13) in base 3?\nAnswer: 111222210011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/60 - -1)*(-44 + (90 - 47))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 7*d**2 + 7*d + 2. Let s be y(5). Let m be -3 - -1 - -2 - -14. Calculate the greatest common factor of m and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2. Let t(m) = 40*m**2 + 10*m**2 + 23*m**2. What is t(d(k))?\nAnswer: 73*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359502, -1438433, -3236654, -5754165, -8990966, -12947057, -17622438?\nAnswer: -23017109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 48*c**2. Let r be 1*-1 - (-22 - -20). Does 12 divide j(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.39665 + -6.89665. Let f = -33\/4 + 8. Sort f, 0.4, 1\/4, r in decreasing order.\nAnswer: 0.4, 1\/4, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -112. What is the remainder when 16\/56 + h\/(-14) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-16) + (-114)\/(-152). Let l be x\/6 - (529\/69)\/(-23). Factor -2\/9*z**2 + l*z + 0.\nAnswer: -2*z*(z - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 103*c**2 - 109*c - 453. Is d(-82) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*c - 266*b**2*z**2 - 397*b*c*z**2 wrt b?\nAnswer: 6*b*c - 532*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -176254729\/1406 - -125359. Find the common denominator of -64\/3 and w.\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -5, -701, -1, 5 in decreasing order.\nAnswer: 5, 1\/8, -1, -5, -701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 + i + 0*i + 14)*(3*i**3 - 2*i**3 - 2*i**3) to the form c*i**2 + g*i**3 + j*i + l*i**4 + d and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-1)))\/(z**(-2)*z))\/(z\/((z*z**(1\/8))\/z)*z*(z*z*z*z\/(z*z*z*z**(1\/3)\/z))\/z)*((z**(-1\/4))**(5\/12))**8 assuming z is positive.\nAnswer: z**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 980171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 9:09 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*y - 5*a, a = -2*y - 4*a - 20. Suppose 25*v - 23*v - 58 = y. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.9813.\nAnswer: 0.09813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259285.3*5.\nAnswer: -1296426.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 286924549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 1.8. Let k = v - -1.1. Is k at most -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0794 and 0.3.\nAnswer: 0.02382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 3. What is the units digit of q(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*q**2 + 4 + (-1 + 1 - 2*q)*(-q + 2*q - 3*q) - 38 + 2*q**2 + 38 + 0 - 2*q**2 + 0)*(3*q**2 + 0*q**2 - 4*q**2).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by -25\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.5 - -11. Let q = -19.45 - j. Which is the closest to 2\/3? (a) -4 (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 42 = -h, o + 5*h - 8 = 10. Let x = o + -3. Is 3 + (6*x - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79869, -638943, -2156423, -5111511, -9983409, -17251319, -27394443, -40891983?\nAnswer: -58223141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 632, 1261, 1890, 2519?\n\"Answer: 629*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4102377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = 2*d, -3 = 3*d + 3. Let h be ((-3)\/y)\/((-6)\/(-8)). Calculate the highest common divisor of 6 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4126*k**6 + 3*k**2 - 372 wrt k?\nAnswer: 495120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.82 - 28. Let d = -9.82 + a. Let i = d + 10. Sort 5, 1, -2\/9, i in descending order.\nAnswer: 5, 1, i, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -83 - 27. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/13 - 22130*w\/13 - 4575544.\nAnswer: 2*(w - 13301)*(w + 2236)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 + -4)\/(-21 + -1) and 59\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6 - 48\/72?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k + 0 + 0)*(-3 + 0 + 2) + (3 - 3 - 2*k)*(3 - 7 + 14) - k + k + k)*(k + 0*k + 0*k).\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 9 + 1)*(-n + 0*n - n)*(-1 - n + 1) to g*n + u*n**2 + d and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 138049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: a9e30 (base 15) to base 9\nAnswer: 1012440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*1*sqrt(180) + 4)**2.\nAnswer: -1152*sqrt(5) + 103696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.064 - -16.936. Let q = 14 - f. Sort 2\/3, q, 12 in increasing order.\nAnswer: q, 2\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - d**2 - 4*d - 14. Give i(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*p + 899*p**2 + 22*p + 18*p - 63*p)*(-33 + 33 + 11*p).\nAnswer: 9889*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by 11?\nAnswer: 43\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -6. Let d = 6 - i. Which is the third biggest value? (a) d (b) 2\/9 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - n - 2348, 4*z + 2*n + 2*n = 2368. Calculate the remainder when z is divided by 85.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-19 - 14) - -58.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r**2 + 6*r + 10. Let j(i) = -8*i**2 - 5*i - 10. Calculate 5*c(y) + 6*j(y).\nAnswer: -3*y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, v: 10, c: 3}. Give prob of picking 3 c and 1 v.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 * -0.23\nAnswer: 0.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31145158 a multiple of 4961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14740 by 4.\nAnswer: 3685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/7)*o**6)**(30\/7)*o**(2\/9)\/o*o*o*o**(3\/5)*o*o**3*o*o*o**(-2)*o assuming o is positive.\nAnswer: o**(78493\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 - 54 - 47)*(2 - 2 + j**3) as q*j**3 + f*j**2 + u + s*j and give q.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/4 - 1933*n**3\/2 + 1245818*n**2 - 1071678467*n\/2 + 2138377527\/4 = 0. Calculate n.\nAnswer: 1, 1287, 1289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2573 (b) -550 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 67 - 140 + 14*k**3 + 74 - 3*k**2. Calculate the remainder when o(1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116.34 + 28.28. Round b to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + -151887?\nAnswer: -151879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-8)*1984\/(-620). Solve 0 = -113*b + 115*b + d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -2 - 0) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 o when three letters picked without replacement from {o: 2, w: 4, p: 2, z: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -76830.\nAnswer: 1\/76830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 111656331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -18. Let c be (0 + 2)*(-3)\/(-2). Let j(b) = 3*b - c - 8*b + 0 - 2*b**2. What is j(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/19 - 1626*j\/19 + 1624\/19.\nAnswer: 2*(j - 812)*(j - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k - 264*k + 597 = -300 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2169 - -2178. Which is the biggest value? (a) 0.6 (b) i (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 2. Let o be b(-1). Let f(u) = -2*u - 3. Let a(l) be the third derivative of l**4\/12 + l**3\/2 - 63*l**2. What is o*f(t) + 2*a(t)?\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87 or -4662049?\nAnswer: -4662049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/6)\/(3\/(-4)). Let k be (-4)\/(8\/p) - 2. Let z be (0 + -1)\/(k\/12). Put z, 0, -2 in decreasing order.\nAnswer: 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-80)\/(-30))\/(2\/(-75)). Suppose -2*c + 28 = -a, 4*c + c - 79 = -2*a. What is the units digit of (s\/c)\/(1\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7598, 60765, 205082, 486125, 949470?\n\"Answer: 7596*l**3 - l**2 - 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**6\/120 + 5*c**5\/18 - 17*c**4\/72 - 21*c**2 - 2. Find v such that a(v) = 0.\nAnswer: -17, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 - 9*v**2 - 55*v - 1640. Determine k(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = o, -8 = 2*m + 2*m. Let x be ((-1)\/(o\/38))\/(-1) + -2. Let q(t) = 10*t + 8. Let r(j) = -29*j - 23. Determine x*q(u) + 6*r(u).\nAnswer: -4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-7*(-4 - 128\/(-28)). Let j(l) = l**3 + 6*l**2 + 10*l + 5. Give j(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/27, 11301, -4?\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4842 and 4860?\nAnswer: 1307340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1, -1\/2, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3100 divided by 50\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2633242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**5\/30 + u**4\/12 + u**3\/6 + u**2. Let c be s(-1). What is the common denominator of -20\/11 and (5\/(-15))\/((-7)\/c)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/52)\/((-2)\/4*-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r. Let k(s) be the first derivative of -6 + 0*s + 5\/3*s**3 + 0*s**2. Calculate k(y(d)).\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 169 and 237 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + 0.4. Let y = t - -0.2. Which is the third biggest value? (a) 0 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = -2*l + 22, 36 = 3*l + 3*z. Suppose 43 = 4*m + k, 44 = 2*m - 2*k + l. What is the greatest common divisor of m and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -794 and -0.064?\nAnswer: 50.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -96?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7 + 5 - 2*l - 2*l**2 - 7*l**3 + l. Does 16 divide n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1172426 times 3\nAnswer: -3517278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 + 148 - 611 + 147 - 3*j + 134.\nAnswer: -3*j - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -4, -3 in ascending order.\nAnswer: -116, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l = -10. Let v = 1 - l. Solve t = -v*s + 13, 0*s + 3*s + 5*t = 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7 = 1. Suppose -5*s + 60 = 15. Suppose -5*k + s - 4 = 0. Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39091982 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z + 2*z. Let p = 60 + -61. Let c be 57\/(-76)*p*4. Solve z = c*r - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 312044.\nAnswer: 24963.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - h. Let y(j) = -8*j**2 - 3*j + 1. Determine 4*v(r) - y(r).\nAnswer: 4*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -16. Calculate the remainder when v is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(3 + (-51)\/15). Suppose 0 = -3*g + a + 37. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + 26 - (327 - 352)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 0) + -41 - -7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvl when three letters picked without replacement from {z: 1, y: 1, v: 2, q: 2, m: 2, l: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2286789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -3. Let d = y + -16. Let m = 206 - 116. Calculate the greatest common divisor of m and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2 + sqrt(343) + sqrt(343) + (-1*sqrt(343) + sqrt(343) - sqrt(343)) + sqrt(343))*-1 - (sqrt(252)\/sqrt(3))\/(sqrt(363) + -2*sqrt(363)))**2.\nAnswer: -608*sqrt(7)\/11 + 162817\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -19. Suppose a*u + 4 = 2*p, 4 = -0*u - 2*u + 2*p. Suppose 2*s - s - 15 = 3*q, -5*q - 17 = s. Solve -s*t + 2*t + 3 = u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1434*i + 2249*i + 1495*i - 2418*i)*(-4*i - 4*i**2 + 4*i)*(-4 + 4 + 2*i**2).\nAnswer: -22080*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 6*j**2 + 2*j + 10. Let i(b) = b**3 - 9*b**2 + 3*b + 14. Determine 5*i(x) - 7*p(x).\nAnswer: -2*x**3 - 3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.25 - -0.05. Let m = 12 - 6. Let s = -5.8 + m. What is the nearest to s in g, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 3*a**3 - 3*a**3 + (0 + 2 - 1)*(-2*a**3 - 4*a**2 + 4*a**2) - 3*a**3 - 41 + 44 - 32.\nAnswer: -7*a**3 - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1712, -3408, -5094, -6764, -8412?\n\"Answer: a**3 - a**2 - 1700*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-5))\/v**(-17) assuming v is positive.\nAnswer: v**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 478.1727 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -15. What is the second derivative of -57*c**3 + 57*c**3 - g*c + c**5 wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)*-1)\/sqrt(11))**2*-4 + sqrt(15)\/(sqrt(12)\/sqrt(4)*-6).\nAnswer: -20 - sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(176\/10)*414\/(-345)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 + s - 22. Does 15 divide b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 215 and 115.\nAnswer: 4945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -202 + 1584?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*g - 1 = -11, 3*g - 14 = -2*f + 8*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/27)\/(-4*5\/720).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*x + 362 + 2118 = 0 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n. Let s(w) = -744*w + 1. Give 4*q(b) - s(b).\nAnswer: 732*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 296 and 457927\/1545 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3994 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(9\/5)*w*w\/(w**5\/w))\/(w*w\/(w**0\/w))**(3\/44) assuming w is positive.\nAnswer: w**(-89\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2284845 + -0.22872. What is v rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 100*p + 3. Let w be y(50). Put 4, -1491, 5, w in descending order.\nAnswer: 5, 4, w, -1491","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 16 - (2 + -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15223056 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 - 4*y**2 - 3*y - 34. Let h(x) = -x**3 + x**2 + 2. Calculate -4*h(c) - i(c).\nAnswer: c**3 + 3*c + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/(-5))\/3)\/(53\/(-265)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -12, -11217, -0.2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**3 - 14*d**3 - 12*d**3 - 10*d**3 - 2*d - 5 + 43*d**3 in the form a + s*d**2 + y*d + h*d**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.47 + 0.57. Which is the nearest to z? (a) -0.5 (b) -1\/6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4 - 0. Let n(m) = -m**3 - 5*m**2 - 6*m - 1. Let a be n(-4). Let t(o) = a*o + 6953 - 6953. Calculate t(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*o - 2*f - 2 = -82*o, -26 = -4*o + 2*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 90. Suppose 4*t + o = 717. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31517, 31519, 31521, 31523, 31525, 31527?\n\"Answer: 2*o + 31515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15045.85 and -0.1.\nAnswer: -1504.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 5:20 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 334274085 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: In base 14, what is -1 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6040\/48*20 + (-10)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-246 + 9)*(8\/12)\/(-2). Let x be (1 + c)*14\/5. Calculate the greatest common divisor of x and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (23 + -15 - -83)) + 17?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-32)*-2)\/(14\/(-16)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d + 20. Find the third derivative of -14*k**d - 74*k + 74*k + 2*k**4 + 39*k**2 wrt k.\nAnswer: -840*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, b: 11}. Give prob of picking 4 b.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + d**2 + 10. Let r be g(0). Let j = -35 - r. Find the common denominator of -34\/5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f = 36*f - g + 269, 0 = -3*f - g + 161. What is the remainder when 1133 is divided by f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9266 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, 8, -4, 0, -5\/2, 5, -0.65?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -379 + 383. Which is the nearest to -1? (a) 3 (b) -302 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (3 - 2) - -17. Suppose l + 3*l + t = 0, -3*d + 5*l + 62 = 0. Suppose -4*q + d + 26 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**2\/7 - 1523412*n\/7 + 1523418\/7.\nAnswer: -6*(n - 1)*(n + 253903)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/24*48\/(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 428.\nAnswer: -3\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 0.096 (c) -0.4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 560*t**5 - t**4 - t**3 - 25623*t.\nAnswer: 11200*t**3 - 12*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b8a2d (base 15) to base 10\nAnswer: 586168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 9. Let m be h(-6). Let t = 16 - 13. What is the units digit of -3*1*t\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 50988774*d + 649963768505769.\nAnswer: (d - 25494387)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 - -245. Suppose -f + m = 4*f. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**2 - 2100*k - 10625 = 0.\nAnswer: -5, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 3. Let w(d) = -3*d + 6. Let r(f) = 5*o(f) - 2*w(f). Let s(b) = -b**3 - 7*b + 5. Give 5*r(i) - 3*s(i).\nAnswer: 3*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/3635 and -3\/484909.\nAnswer: 2424545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 - 6*r**2 - 9*r**2 as d + o*r + t*r**2 and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 + 25*m**2 + 15*m + 6. Let r be i(-12). Let n = -132 - r. Let h = n - -157. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1c7a2c1 (base 13) to base 16\nAnswer: 9107cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10561091151.35553848914 - -1.34446151086. Let k = c + -10561091005.000000627. Let t = k - 147.7. What is t rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 11849.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20284, 20286, 20288, 20290, 20292?\n\"Answer: 2*t + 20282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 495127*m**2 + 630521 wrt m?\nAnswer: 990254*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -71.723835 not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -579 + 582. Suppose -j*w + 20878 = 6745. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/((-8)\/164) - -2) + (-140)\/(-56). Sort 1, t, 5, -4, -1 in ascending order.\nAnswer: -4, -1, 1, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 410 + -410.85. What is the fourth biggest value in z, 4, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 80.431\nAnswer: -40.2155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-108)\/9) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5994 (base 10) in base 8?\nAnswer: 13552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**2)**21*f*f*f\/(f\/(f**(4\/5)*f))*f**(-2\/13) assuming f is positive.\nAnswer: f**(-1128\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 29. Suppose -2*m + x = -7, -2*m + x = 4*x + q. Let s(c) = 5*c - 2 + c**m + 2*c + 0*c**2 - c. Determine s(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1716 - 3523\/2. Let z be (-42635)\/(-18760) + (-2)\/7. Let u = 26\/67 + z. Calculate the common denominator of u and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/66*2*81\/54?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3485*k**4 + 4*k**3 - 2*k + 3528. Let c(o) = 3485*o**4 - 6*o**3 + 3*o - 3527. Let q(j) = 3*b(j) + 2*c(j). What is the first derivative of q(g) wrt g?\nAnswer: -13940*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 58862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 203*a**2 + 9*a - 9. Let u(y) be the first derivative of 17*y**3 + y**2 - 2*y - 45. Let j(i) = -18*u(i) + 4*v(i). Let r(l) = l. Calculate r(j(d)).\nAnswer: -106*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179172317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -7. Let i = 0 - s. Let l = i + -5. Which is the third biggest value? (a) l (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 12*(15\/6 + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n**(2\/17)\/n)\/n))\/n*n\/n**(1\/3))\/(n**(-2\/7)\/n*n\/n**(-6)) assuming n is positive.\nAnswer: n**(-773\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/9)*p*p*p**2 assuming p is positive.\nAnswer: p**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/10)\/((-4)\/70).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 - 42110*a**3 + 114183785*a**2 - 107469688980*a + 32566531429620.\nAnswer: 5*(a - 3477)**2*(a - 734)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*i - 93 - 39, -4*i = 5*k - 166. Is k a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, x: 6, r: 2, y: 1, w: 6}. What is prob of sequence rw?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 5) in base 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339572?\nAnswer: 2, 23, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 12:40 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1125*-54147\nAnswer: -60915375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/((-1647)\/488)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18451*z = -18458*z - 56 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.300472492 rounded to five decimal places?\nAnswer: 0.30047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 984335.1ng?\nAnswer: 0.0000000009843351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**4\/12 - 4*y**3\/3 - 3*y**2. Let d be k(5). Suppose -z = d*z. Solve 20 = n + 4*n - 5*r, z = -2*n - 3*r - 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-236)\/4 + (6 - (-1 - -5)). Let d be (-2)\/5 + 1718\/30. Let y = t + d. What is the fourth smallest value in 1, y, 5, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4316 + 4307. Which is the nearest to n? (a) 0.5 (b) 2 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -53)*(-8)\/(-20). Let j = 20 + y. Which is bigger: -1\/10 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3465 - -0.0465. Let f = 2 + -2.2. Which is the closest to k? (a) f (b) -2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1 + -11 - (-32 - 16404)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + 0.2. Suppose -4*m - 2 = 7*w, 13*m = 15*m - 3*w + 40. Which is the closest to z? (a) 1 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -713*q**3 + 62*q**2 + 62. Suppose 0 = 41*a + 35*a - 7*a - 345. Let j(i) = -57*i**3 + 5*i**2 + 5. What is a*o(l) - 62*j(l)?\nAnswer: -31*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5451, -548, -1\/5, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110986238?\nAnswer: 2, 11, 5044829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -2\/19 (b) -5\/4 (c) 10 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537 = 4*x - t - 348, 3*t - 439 = -2*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 + 14 + -10 - 1506\/108 and 1\/522.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzfstssst. Give prob of picking 1 f, 1 x, and 1 t.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minus -2?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 48\/5 of a kilometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1152\/5 - 314486\/1365. Let s = j + 1357\/1092. Find the common denominator of 46\/11 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwfnhefe. What is prob of picking 2 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) -0.09 (b) 4 (c) -7 (d) 1.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/(-580))\/(1 - (-1)\/2).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 3:31 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/1058 and 5\/2.\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/19)*a*a*a**(-2\/17))\/(a**(-2\/13)*a*a\/(a*a*a**(1\/5)\/a)))\/((a**(-1\/10)\/a)\/(a*a**2\/a*a)*(a*a\/(a*a*a*a**(1\/2)))**(-6\/11)) assuming a is positive.\nAnswer: a**(2038207\/461890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.5691 to 0 decimal places.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 262868.3 milliseconds in microseconds?\nAnswer: 262868300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*s**4 - 8*s**4 + 8*s**4 + (3 - 3 + s**3)*(2*s + 0*s + 2*s).\nAnswer: 30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -18. Let s = 62 - 56.8. Let v = s - y. What is the second biggest value in v, 2\/15, -0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, 2\/7, -0.5, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from dddvdjaddavdjd.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 13 = 3*a, 3 = o - 2. What is the greatest common factor of a and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -39 - (-238)\/91) + -5\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23\/88 + -1\/88. Is x > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -83 (b) 4\/9 (c) -6 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 3*d - 2. Let m be n(-4). Let a be 0 + (5 + 0 - m). What is the third derivative of 1 + 3*z**3 - 1 + a*z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Let k = b + 0. Sort -4, k, -3 in decreasing order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -2*d - 0*d. Suppose -3*c - 5*g - 8 = 0, 5*g - 17 + d = 3*c. Is 203 + (c - 1 - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -2\/3*g**3 - 1\/6*g**4 - g**2 - 2*g + 0. Determine u, given that r(u) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 27*h. Let w(a) = -7*a**2 - 25*a. Calculate w(j(d)).\nAnswer: -5103*d**2 - 675*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/4 - 51*m**2\/2 + 195*m\/4 - 24.\nAnswer: 3*(m - 32)*(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 4 - (-9 + -23 - -15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 4 = 3*c + 3*u, 4*c - 5*u - 6 = 0. What is the derivative of i**3 - c - 2*i + 2*i + 2*i**3 wrt i?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 - 141*f**2 + 26508*f - 1661168.\nAnswer: (f - 188)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - -1 - (97 + -102).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 36.0062. What is w rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - p + 197, 3*a = 2*p - 5*p + 159. Let k = -26 + a. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**2 + 21645*s = 0?\nAnswer: 0, 4329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 7*q**2 - 3*q + 8. Determine n(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85659571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/34)\/((-6)\/(-8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((165\/198)\/(5\/3))\/((-138)\/2484)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2038*w + 13 - 2 + 3782*w. Let n be u(12). Let r = 98851 - n. Round r to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -121507 (base 9) to base 15\nAnswer: -16ac7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 61110 and 0.06?\nAnswer: 3666.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181704 is divided by 124.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 12*v + 13. Let k be s(10). Suppose 3*p - k = -2*d, 0*d - 99 = -4*d + 5*p. What is the remainder when d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 911904410 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3 - 5 - 65510*o**2 - 2. Let c(t) = t**3 + 17*t**2 + 3*t + 44. Let q be c(-17). Let d be l(q). Round d to the nearest 100000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/10)\/((-2)\/20). Suppose 4*i = 5*s - 188 + 3, -4*s = 4*i - 112. Suppose 5*b + 13 - 33 = -3*h, -s = -a*b + h. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-9*(-11)\/(-2)*(-46)\/138?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00501315 to 4 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 474*v**2 + 5 - 3 + 467*v**2 + v**3 to r*v + k + d*v**3 + q*v**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z = 24 - 114. Let h(n) = 2*n - 5. Let i be h(7). Solve -z*k - k = -i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2712, 0.04, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1264 and 18.\nAnswer: 11376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-108)*(-2 + 11). Let 0 + 0*r**a + 0*r + 0*r**3 - 3\/2*r**5 - r**4 = 0. What is r?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 5*g - 5. Suppose -10*l + 18*l - 40 = 0. Give x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 32. Let k(l) = 3*l**2 + l. Let a(i) = -3*i - 3*i**2 + i - 4*i**2. Let r(u) = v*a(u) + 13*k(u). Find the second derivative of r(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*b**3*f**2 - 65*b**3*f - 8*b**2*f**2 + b**2 - 14*b*f**2 + 30*f**2 wrt b.\nAnswer: 432*f**2 - 390*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 385\/(-45) + 2 + 16\/(-36). Let l be (13 - c)*1\/2. Solve 5*a = 7*a + l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/3 + 4*t**3 - 26*t**2\/3 - 4*t + 9 = 0. What is t?\nAnswer: -1, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1591 and 592.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 72 = -6 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20100 (base 3) to base 12\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 114\/6) + 11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k + 14*k - 7*k + (k + 2*k - k)*(0 - 2 + 4) - 13*k - 7*k + 7*k to w*k + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-17)*3\/(-12)*-26\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34108662?\nAnswer: 2, 3, 7, 269, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (0 + 0 - -37501). Let l(m) = -5*m**2 + 0*m - 5 + a*m**3 + 1 + 5*m. Let r be l(4). What is r rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.239 - -15.761. Let k = g - 13. What is the third smallest value in -2\/11, k, 0.19?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**0)\/s)\/s)**(-2\/93)*(s*s*s*s*s*s**(-1\/2)*s*s)**(-42)*(s*((s*s\/((s*s*s**9)\/s))\/s)\/s*s*s*s**(-1\/3))**(-42) assuming s is positive.\nAnswer: s**(3257\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*g = 42682 - 12826 for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.6 times 3.0857?\nAnswer: -344.36412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - 324?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13400)\/(-30) + 4\/(-6). Let g = 457 + a. Calculate the highest common divisor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (1 + 12)) + (17 - (-15 + 7))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 182698?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 1) + 0 - -57178. Let s = v + -105175. Round s to the nearest 1000.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2\/7 + 7878*k\/7 - 714024\/7 = 0. What is k?\nAnswer: 94, 2532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 = -18. Let q = -26 - -25.6. Which is the second biggest value? (a) g (b) -3\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18198 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1470)\/(-4116))\/((-3)\/(42\/(-4)))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 36*g**2. Let q(y) = -381*y**2. Calculate n(q(l)).\nAnswer: 5225796*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8416 and 9?\nAnswer: 75744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144 + 146. Factor 2\/3*m**3 + 2\/3*m**5 + 0*m**n + 0 + 0*m - 4\/3*m**4.\nAnswer: 2*m**3*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10616899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558 + 538 = -2*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/(-4) - 94)\/((-4)\/1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 15)*(7 - 7 - v)*(0*v - 2*v + 5*v) to the form i + j*v + y*v**2 and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h - 12*h + 39*h - 15*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myym when four letters picked without replacement from {y: 5, m: 6, c: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 20. Let t(o) = o**3 - 4*o**2 - 2*o**3 + 13*o - 7*o**2 + 13. What is the smallest common multiple of a and t(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9d + -13c?\nAnswer: -1db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 67, 133, 199, 265, 331, 397?\n\"Answer: 66*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**5\/20 + 2*d**4\/3 + d**3\/6 - 3*d**2\/2 + 2*d. Let h be z(8). Suppose -2*u + 5*b - 81 = -4*u, -u + h*b = -18. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 9*z = 13*z - 5*z - 36, q = -5*z - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*t - 2*t - 1297, -4*t = 12. What are the prime factors of f?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1151925, 2303801, 3455681, 4607565, 5759453, 6911345, 8063241?\nAnswer: 9215141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -18*v - 6. Let m be 5 + ((-15)\/5)\/(-3). Let b(s) = -17*s - 5. Let x(c) = m*b(c) - 5*u(c). Let n(y) = -2*y. Determine n(x(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3211*b + 12824. What is x(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12850 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5\/13 - 14*n**4\/13 - 452*n**3\/13 - 2596*n**2\/13 - 5310*n\/13 - 3150\/13 = 0.\nAnswer: -5, -3, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 248*b**2 + 236*b + 488.\nAnswer: 4*(b - 61)*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135) - sqrt(135)*-1*5)\/(sqrt(50)\/(1*sqrt(10)) + (sqrt(5) - sqrt(45)\/(sqrt(9)*-2))).\nAnswer: 36*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -381*x**4 + 375*x**3 + 6*x**2.\nAnswer: -3*x**2*(x - 1)*(127*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -669 in decreasing order.\nAnswer: 4, -1, -669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 79, 1, -21 in decreasing order.\nAnswer: 79, 3, 1, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5\/19, 2, 1.\nAnswer: 5\/19, 0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 4*d**2 + (43*d + 36*d - 61*d)*(-11*d + 0*d - d) - 3*d**2 - d**2 + 2*d**2.\nAnswer: -214*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y - 3. Let z be r(5). Sort z, 1, -3 in increasing order.\nAnswer: -3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60*g**2 + 42*g**2 - 80*g**2)*(-641*g - 525*g + 108*g) to the form j + x*g**3 + s*g + y*g**2 and give x.\nAnswer: -23276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 532\/868)*44 - 27.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -1. Let i = l - -1. Let y = 697 + -697. Solve y*m = m - i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5*q + 7*q)*(0*q - q**3 + 0*q).\nAnswer: -2*q**4 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 480 = 2*a. Suppose 0 = 12*x - 20*x + 96. Calculate the highest common factor of a and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*g + 4. Let o(r) = 0 + g + r + 2 - 2. Let z be o(4). Solve -5*p - z - 5 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -13, 3\/7, -2\/9, 0.5, 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2 = k. Suppose 3*q - k*z = -17, 1 = -0*z + z. Let t = q + 8. Solve -5*w = -t*u - 12, w + 20 = -5*u + 5*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -99 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3315*m - 3329*m - 3309*m + 13270*m + 3 - 3 - 3311*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 4*b + 1\/3*b**4 - 1\/2*b**3 + 0*b**2 + 0. Find the second derivative of z(h) wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27438, -54696, -81956, -109218, -136482?\n\"Answer: -f**2 - 27255*f - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + 4*t**2 + t + 6*t**2 + 10*t**2 to the form b*t**2 + n + y*t and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -28. Let y = h - -30. Let t(j) be the third derivative of -7*j**5\/60 + 5*j**4\/24 + 10*j**2. Let v(o) = -11*o**2 + 8*o. Give y*v(u) - 8*t(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 50 = -41 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (7*-3 - 4). Let d = u + -23. Solve -3*c + 18 = d*v, -13 = -3*v - 2*c - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00219 to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((((((t*t\/(t**(-3\/4)\/t))\/t)\/t*t)\/t*t)\/t)\/t))\/t)\/(t**(-2\/33)\/t*t) assuming t is positive.\nAnswer: t**(-91\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, 2, 2.568, -3, -8, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(147) + -1)*3 - sqrt(147)) + 0 + -3*(sqrt(147) + -1 + sqrt(147)) + sqrt(147) + 1 + sqrt(147) + -4)**2.\nAnswer: 504*sqrt(3) + 3582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 31 - h**2 + 236*h**2)*(-8*h + 0*h - 5*h)*(h - h + 2*h).\nAnswer: -6110*h**4 - 52*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, o: 4}. Give prob of picking 2 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -8850?\nAnswer: -8850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 133254487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 439\/(-8) - 83460\/44512.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**3\/2 + 39*r**2\/4 - 60*r + 524. Let j(t) = 0. What is t?\nAnswer: 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001279462 rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 29*o**2 - 1020*o - 1506. Give j(50).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(2\/(-3 - -1)). Find the third derivative of 5*a**6 + 4*a**6 + 3*a**2 - 3*a**6 - h*a**6 wrt a.\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 17 = -8. Differentiate -t**k + 1 + 2*t**3 + 3*t**3 + 3 wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a092 - 92?\nAnswer: -1a174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 0, 2 in descending order.\nAnswer: 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + (-3 - -13))*(2 + 3). Let d = r - 60. Suppose -d*n = -5*n + 4*n. Solve -4*g = -n*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.9. Let y = -189 - -185. What is the nearest to t in y, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 7) to base 9\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12528086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c + 43. Suppose 2*t = -g - 0*g + 194, 0 = -2*t + g + 202. Let n = 89 - t. List the prime factors of x(n).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-190))\/(4680\/2730) + (-1)\/(-10)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -19 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/5 + 6246\/(-3470) - 28\/30. Let n = -0.4 + 0.3. Let i = n + 0.3. Which is the third smallest value? (a) 1\/2 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2*a + 2, 0 = 6*n - 3*n + 2*a - 2. Let l be n\/(-10) - 72\/(-5). Calculate the greatest common divisor of 154 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**22*y**(3\/7))\/((y*y**8)\/y*y**(15\/8)) assuming y is positive.\nAnswer: y**(-1649\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*n + 36 - 8, 5*n = 15. Sort -3, z, -2, 10 in descending order.\nAnswer: 10, -2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*n**3*u**3*x + 4*n**3*u**2 + 3*n**2*u**3*x - 2*n*u**3 - 2*n*u**2*x - 43*x wrt u?\nAnswer: 132*n**3*x + 18*n**2*x - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1903759105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4372*a - 4365*a + 154 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 3*d**4\/2 + 2*d. What is the least common multiple of 2 and u(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 2\/9, -3, -3270\/209, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n**2 - 1. Let p be b(3). Let c = -20842 + 20841. Is c greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-124)\/(-6))\/(95\/(-15) + 7). Find the first derivative of 13*f**3 + 11*f**3 - b - 38*f**3 wrt f.\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2) - 2060\/(-927)) + 6150\/270\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/3348276 and 13\/66965520?\nAnswer: 66965520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848917802?\nAnswer: 2, 3, 163, 1890509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 3*c - 7*c)*(-3*c**3 + 3*c**3 + 2*c**3).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12286 + -491491\/40. What is the common denominator of 29\/180 and x?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 39*h**3\/5 + 5727*h**2\/5 + 52548*h\/5 - 1644 = 0.\nAnswer: -137, -10, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 5*i**2 - i**2 + 3*i**2 + 6*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -4*y - 2*w, 3*y + 0*w - w + 87 = 0. Let p = 30 + y. Suppose 3*v + 75*v**2 - v**3 - 77*v**p + 0*v = 0. Calculate v.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 2. Let b be n(2). Let q be (b + (-15)\/(-9))*-9. Is (1\/q + (-2)\/(-3))*347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 j, and 1 l when three letters picked without replacement from stsbbljsjvbll?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -89*w. Let p(a) = -2*a**2 + 3. Let t(s) be the third derivative of s**5\/12 - 7*s**3\/6 + 58*s**2. Let h(y) = -7*p(y) - 3*t(y). Determine h(x(r)).\nAnswer: -7921*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, d: 2}. Give prob of picking 2 n and 1 d.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 + 119 = -16*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525242391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/8)\/((-9)\/6048*294)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**3 - 5565*o**2 + 1866240*o - 166518180 = 0.\nAnswer: 141, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10307 (b) 21 (c) -1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 19*j - 667*j**2 + 647*j**2 in the form g + r*j**2 + b*j and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1457795 divided by -5\nAnswer: 291559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/91 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*s + 3*a, -3*s - 3*a + 15 = 3. Let j(p) = p + 3. Let b be j(0). Suppose -r - s*r = -3*d + 2361, 3*r - 2382 = -b*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -8. Let i = 176 + -176. List the prime factors of p + i - (-56 + 1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m - 5. Let p be v(5). Let l(s) = -5*s**2 - 2*s + 10. Let a be l(p). What is the units digit of a\/30*-51 - 3\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*s - 84 = -13*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 850222986 to the power of 1\/3, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 120*d - 2470*d**2 + 3*d**5 - 9*d**4 + 4935*d**2 - 123*d**3 - 2456*d**2 = 0.\nAnswer: -5, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*-3)\/(sqrt(18)\/sqrt(3)*6).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 + 21*i - 54*i - i**2 + 12 + 9*i. What is the remainder when v(16) is divided by 93\/2 - ((-18)\/(-4))\/(-9)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2163515 (base 8) in base 12?\nAnswer: -241811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-10 - (-12 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -14*u + w + 7471, -3*u + 4*w = -5613. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 118995 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 129030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {w: 2, d: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/8, -5\/2, 4, -60?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4 + 0 + 2*t - t. What is the remainder when (-104)\/6*(-81)\/(-72)*-2 is divided by h(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 328261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2988*f**3*v - 11*f**3 + 27634*f**2*v - 2*f**2 wrt f.\nAnswer: -17928*v - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = 3*q + 4*q - 136, -u - 4*u + 2*q - 17 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*g - 9*g - 3. Let t(w) = -g - 15*w + 6*w + 2 + 6*w. Determine t(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1156 by 6.\nAnswer: 578\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 + -34. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33912423.\nAnswer: 3, 43, 87629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2730.16163 - 2711.799. Let j = i - -0.38437. Let r = j - -0.053. Round r to zero decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 2, o: 3, b: 1, i: 1, d: 3}. What is prob of sequence ow?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19162 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -27 - 23 + 2*u**2 + 74 - 24. Let l(t) = 132*t**2. Give z(l(g)).\nAnswer: 34848*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -10*o**2 + 1. Suppose -4*t - 89 = -5*k, 4*k = t - 5*t + 64. Let z(s) = k*s**2 - s**2 - 15*s**2. Calculate z(d(u)).\nAnswer: 100*u**4 - 20*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173 + 987. Suppose -2*q = 9*q - n. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 18*n + 2. Suppose 5*p + 0 = -j + 19, -4*p = j - 16. Let h(f) = -2*f - 11*f + j*f + 10*f. What is h(r(i))?\nAnswer: 18*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4530 is divided by 1132.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -4, -5, 2822?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24180 divided by 2?\nAnswer: 12090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**5 + v**4 - 1. Let p(j) = -8*j**5 + 3*j**4 + 4*j**2 - 3. Let k(l) = -p(l) + 3*r(l). Find the third derivative of k(w) wrt w.\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4 - 7*i**2 - 6*i = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22060 divided by -2206\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188147844?\nAnswer: 2, 3, 563, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.86 + 0.14. Let x = 4 - 7. Which is the second biggest value? (a) q (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 6) to base 3\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -3 - (13 + -12) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.1064935 to one decimal place.\nAnswer: 116.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2855 - 7?\nAnswer: 2848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 28. What are the prime factors of n(11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-1\/2)\/w)*w)**(17\/2)\/((w**(-2)*w)\/w)**(-1\/25))**(-3\/7) assuming w is positive.\nAnswer: w**(-8901\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -23, -24, -27, -32, -39?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3333 + 3332.7. Which is the biggest value? (a) -4 (b) y (c) 0.016 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 2 - 4 - 8*v)*(-2 + 2 - 2) as f*v + o and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(1573) - (sqrt(1573) + 1))*-5)**2 + -3)*-5 + 4 + -3)*-4.\nAnswer: -884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 15*d - 12. Let u be f(-14). Let q be 92\/(-224) - u\/(-7). Which is the smallest value? (a) -6 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.707 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6794 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-3)**2 + -2.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 616129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12335918 (base 10) to base 7\nAnswer: -206565530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5651643896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26492)\/(-6444) - (0 + 5 + -1).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -264 - -272. What is the lowest common multiple of 26 and k?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d - 64. Calculate the greatest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4) + 18\/(-12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 9*h**4 - 3*h - 163158*h**2 + 81578*h**2 + 81581*h**2 - 4*h**3 to the form r*h**4 + m*h**2 + u + c*h**3 + o*h and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 2*g - 29 + 0 = 9*a, 229*a = 225*a + 5*g - 126 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 735494637 to the power of 1\/2, to the nearest integer?\nAnswer: 27120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4 - 174\/(-4)) + -2)*2. Suppose k - m = 21. Let s = k - 72. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**3 - 2*f**3 + 22*f**3 - 2*f**3.\nAnswer: 27*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 1\/15*h**6 + 65 + 1\/5*h**5 - 1\/21*h**7 + h - 1\/3*h**3 - 1\/3*h**4 + h**2. Determine l, given that v(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*s - 154238 = -686504. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**4\/6 - 7*h**3\/6 - 5*h**2\/2 + 2*h. Let s be c(-4). Let m = 25 + s. Calculate the remainder when 30 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12586 - -12589. Put -12, g, -0.04, 2\/3, -2\/7 in descending order.\nAnswer: g, 2\/3, -0.04, -2\/7, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*n + 570 - 9*n - 570 to o*n + f and give o.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 8 = -32. Solve 2*j = 2 + h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 5*z**2 - 3. Let d be c(5). Let u be (-37799988)\/18 - (-2)\/d. Round u to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/22)\/(152\/2508)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 68 + 42. Let l = 17 - g. Let y = 3.7 - 4. Which is the second smallest value? (a) l (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 2*v - 1. Let w(x) = -6*x - 12. Let m be w(-2). Suppose -10 = -n + 2*a, 0 = -a - m*a - 4. Give y(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*n**2 + 165 - 257 + 7125*n**5 - 4604*n**5 wrt n?\nAnswer: 151260*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000145524 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*(sqrt(76)*-1)**2.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**4 + 0 - 8 - 2*p**4 with respect to p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - g - 3, s + 3 = -2*g - 0*g. What is the nearest to s in -0.5, 1, 3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**4\/12 - l**3 + 7*l**2\/2 - 12*l. Let g(w) = -w + 1. Let b be g(7). Calculate m(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-142 - -7)*3*5\/(-15). What is the highest common factor of 1755 and n?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.02, -1\/6, 3, 0, 1\/2, -222639?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2400 and 1314?\nAnswer: 525600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 420.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 - 6*b**2 + 3*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = -148 + 158. Let r = 31 + -28. What is the closest to 1\/3 in r, 11\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8104757, -16209505, -24314253?\nAnswer: -32419001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 z when three letters picked without replacement from ccccccoczccoobcczco.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 31080*d + 99 = -31084*d, 0 = -5*l - 2*d + 93 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1306779 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -445 + 112. Suppose -2*w = 4*v + 4, 3*w - 7*v = -8*v + 4. Suppose 336 = 10*h + w*h. What is the remainder when c is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76038?\nAnswer: 2, 3, 19, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 32. Let f be ((11\/y)\/(-11))\/((-1)\/1683). Calculate the greatest common divisor of f and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/(n*(n**2*n)\/n*n*n))\/(n**(1\/2)\/n**(-1\/2)) assuming n is positive.\nAnswer: n**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 111*v**2 - 2*v + 1. Let m be a(1). Let n = 25 + m. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(26730\/130) - 124\/1674\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -56 - 2*s + s + 77. Is c(6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 17*d - 2 = 19*d, 2*z - 12 = -3*d. Let n(l) = -l**2 - 3*l. Let j(b) = 3*b. What is z*j(v) + 2*n(v)?\nAnswer: -2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 29*d + 6. Determine q(13).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1117227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 121*l**6\/480 + 55*l**5\/48 - 3*l**4\/4 - 27*l**3\/2 - 5103*l**2. Factor m(n).\nAnswer: (n - 1)*(11*n + 18)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -63*y**5\/4 - 3*y**4\/2 + 567*y**3\/4 + 27*y**2\/2 = 0.\nAnswer: -3, -2\/21, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867784 is divided by 14961?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + 2042*z - 254044. Calculate t(145).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 914*a - 60003. Determine o(66).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572351372 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: Let b = -4 - -11. Let t be 0 + 0 - (2 - b). Suppose -a = 3*m - 329 - 60, 2*a = t*m - 663. List the prime factors of m.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2209316 + 8*a - 10*a - a - 12*a + 2209316.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/480)\/((-57)\/(-152)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 1 - 5 + 2)*(32 - 16 + 2) to the form v*a + q and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 35 = 5*g, 5*h - 13 - 24 = -4*g. Let p = 0 - -2. Calculate the greatest common divisor of p and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 3 + 3)*(-11 + 11 + 7*r**2).\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m + 20. Let l be j(9). Let g = -61 + l. Solve g + 0 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z**2*z)*z))*z*z*z**6)\/(z\/(z*z\/(z*(z*z\/z**(-5\/2))\/z))*z**(-2\/15)) assuming z is positive.\nAnswer: z**(109\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -988*y + 27166 + 28748 + 31005 = -11881 for y.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*g + 33*g + 2591*g**2 - 2592*g**2)*(4 + 2 - 5)*(-2*g + 0*g - g) to the form z*g**2 + d*g**3 + u + v*g and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8\/h)**(5\/2)*h**(-4\/3)*h**13 assuming h is positive.\nAnswer: h**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 11:04 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21821913.\nAnswer: 3, 769, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqlpqqqlplp. Give prob of picking 4 q.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*y + 20295 = 0, l - 34*y + 31*y - 6755 = 0. Round l to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b59aac (base 14) to base 11\nAnswer: 351030a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-6))\/((-20)\/8). What is the biggest value in 5, r, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-34\/3)*u)\/(u**8*u*u))**(37\/2))**(-8))**(16\/3) assuming u is positive.\nAnswer: u**(144448\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:08 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1137*n = -1133*n - 4*j - 24, -3*n - 4*j + 0 - 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -242, -227, -192, -131?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 503 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14995807 to the power of 1\/2, to the nearest integer?\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*b + 125*b = -109*b + 528 for b.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-7920))\/(60\/220).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4 + 322\/(-56)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1958)\/132 - -15)\/(4\/72). Solve -r*u + 3*t = 27, 2*u + 6*t - 10*t + 28 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {b: 1, x: 2, h: 1, y: 1, v: 1, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 16*a**2 - 39*a + 7. What are the prime factors of v(-18)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 28 - 14 = 0. Let x be (-4060)\/(-435)*54\/8. Calculate the highest common divisor of x and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203 = 11*b - 247 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*s + 325 = 0, 16 + 4 = 5*s. Calculate the remainder when a is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -576, -1373, -2386, -3615?\n\"Answer: -108*s**2 - 473*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brrunqnrqrnrnqqn. Give prob of sequence nunn.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 1468*d**2.\nAnswer: d**2*(d - 1468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -p + 521, -2*p + 3*w + 490 = -563. Suppose -173 = -u - a, 2*u - 5*u - a = -p. What is the remainder when u is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.94 + -0.06. Which is the third smallest value? (a) 2\/7 (b) n (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1603)\/28854)\/((-1 - -3)\/16))\/(238\/(-3)).\nAnswer: 2\/357","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + ((6*(sqrt(228) - -1*sqrt(228)) - sqrt(228)) + (6*-2*sqrt(228) - sqrt(228)))\/(sqrt(60)\/(sqrt(5)*1) - -4*sqrt(192)))*4.\nAnswer: -8*sqrt(19)\/17 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(567) + -2 + sqrt(28)\/sqrt(4))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5 - 3 - 4 + 1 + 3*g. Let z(m) = -43*m + 12. Let o(q) = -11*q + 3. Let x(y) = -22*o(y) + 6*z(y). Let c = -7 - -18. Give c*h(s) + 2*x(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 43*k**2 - 5*k + 5. Is o(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 7, s: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 86*m + 1. Let k be o(1). Suppose -60 = -3*b + k. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -495*n - 4947. Let u be c(-10). Let j = 1 + -1. Sort -2, u, j, 0.4 in descending order.\nAnswer: u, 0.4, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -12*l**3 - 150*l**2 - 171*l + 342. Let p(y) = 3*y**3 + 37*y**2 + 43*y - 85. Let r(z) = -2*g(z) - 9*p(z). Solve r(u) = 0 for u.\nAnswer: -9, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6*s = 8*s - 6377, 3*s = 3*v - 6402. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/188860 and 127\/1402960.\nAnswer: 9820720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 1876?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1223*y - 3496 with respect to y.\nAnswer: 1223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 24 = -32. Calculate the remainder when h is divided by (-4316)\/(-415) - ((-18)\/(-10))\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81962, 327850, 737706, 1311566, 2049466?\nAnswer: 2951442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*u + 15. Let p(z) = 90*z. Let l be p(-2). Let o be 7\/((-14)\/l) + -2. What is the greatest common factor of o and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + s - 3 - 13 = 0, 2*t - 11 = -s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*(160\/36)\/8\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 7*r**4\/12 - 11*r. Let k(n) = -3*n**2. Calculate f(k(h)).\nAnswer: 63*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 3*q + 56. Let m = -40 - q. Let r(s) = -7*s - 1. Let i(l) = -5*l - 1. Let h(k) = 3*i(k) - 2*r(k). Give h(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010001 (base 4) to base 15.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1012 (b) 3\/11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3295 - 26997.\nAnswer: -23702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -23*q**8\/42 + q**6\/30 + 269*q**5\/10 - 1813*q**2. What is the third derivative of p(c) wrt c?\nAnswer: -11040*c**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*u - 4 = -0*a, 5*a + 2 = 4*u. Solve 5*m + 1 = -2*j, -5*m + a*j + 9 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*z, -3*z + 10 = -h - 5. Suppose -2*i + 6 + h = 0. Solve 17 = -5*w + i*a, -3*a - 5 = -3*w - 5*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(288)*-3.\nAnswer: 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/14 + 2 - (-52)\/182. Suppose -m + 6*m = -4*d + 4, -m = k*d - 14. What is the remainder when 16 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 106 + 166. Suppose -37*f = -d*f - 60. What is the remainder when f is divided by (-66)\/4*4\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25, -2, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11682 (base 10) to base 9.\nAnswer: -17020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 27*k**2 + 2*k - 1. Suppose 5*n - 5 = -3*x, 4*x - 5 = -5*n + 2*x. What is the remainder when 54 is divided by i(n)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*c**2 + 3*c**3 + c**3 + 2*c - 136*c**2 - 2*c**3 - 244*c**2 as u*c + j*c**3 + d + w*c**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2060, 3135, 4202, 5255, 6288, 7295, 8270?\nAnswer: 9207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -523*i**3*o**2 - 2*i**3*o - 13*i**2*o**2 - 1446*i**2*o wrt o?\nAnswer: -1046*i**3 - 26*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - -87. Is k a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2517 (b) 4 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 60 = 12*i. Let x = -298 + 668. Suppose x = 5*z - i. Calculate the greatest common divisor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/36 and 115\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 4*r. Let x(q) = 4*q**2 + 13*q - 158. Give -2*x(f) - 6*y(f).\nAnswer: -2*f**2 - 2*f + 316","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 15. Suppose -d*k - 5*y + 21 = 0, 2 = k + 2*y - 1. Let v be (3\/k)\/((-1)\/2). Which is the smallest value? (a) v (b) -2\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from {f: 3, w: 9}.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36211\/16488 + -68\/687. Calculate the common denominator of -35\/22 and k.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 f when four letters picked without replacement from {f: 5, o: 1, e: 1, x: 2}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2)\/(-2 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 = 2*v, -2*v = 2*u - 0*v + 6. Suppose 4*p - 45 - 108 = -3*o, p = -u*o + 42. What is the greatest common factor of p and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12751, 12749, 12747, 12745?\nAnswer: 12743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1280 - -1280. Let f(m) be the third derivative of 5\/12*m**4 - 2*m**2 + 0*m**5 + 0*m**3 + 0 + 1\/15*m**6 + p*m. Find the second derivative of f(w) wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852*v + 5*x + 1 = 854*v, -3 = 2*v - x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.2 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 4. Let i be 5 + 3\/(3\/(-2)). Suppose l + 3 = i*q, l = q + 3*q - 4. Let a be 0\/(1\/(q\/2)). Give g(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6 + 9*o**2 - 2 - 3*o + 28*o - 1 - o**3. Let y be t(12). Let x = y - -221. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 74 + -28534?\nAnswer: -28490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76710*x + 1834 = 76593*x - 974 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - 11) + (8 - -1 - (20 - -1)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 h, and 1 d when four letters picked without replacement from xhiciccxdxiicc?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 16?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 15473 - 77858 = -3*f, -3*v - 9 = 0. What is f rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2. Let i(d) be the first derivative of 0*d + 0*d**2 - 1\/3*d**3 + 6. Calculate i(o(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 less than -602081399?\nAnswer: -602081424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 13. Let y = 13117.5 - 13117. Put z, y, -3 in decreasing order.\nAnswer: z, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71)\/(-2698)*2926*(-2)\/(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 0.3, -5, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 + 142*p - 45676\/9.\nAnswer: -2*(p - 601)*(p - 38)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - 4. Let g = 14.5 + k. What is the second smallest value in 1, -0.3, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 337664 and 14509.\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2208923 is divided by 157777?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - -1) - (-12 + 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2382 - -2388. Solve s*b = -1 + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11439?\nAnswer: 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*3*sqrt(891) + (2 + sqrt(891))*-1 + 2 + sqrt(891) + 0 + sqrt(891) + sqrt(891))**2 + 5 + -4.\nAnswer: 14257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at least 2059\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -3*g + 55, 2672*s + 2*g - 15 = 2669*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 16 = -6*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let y(d) = 20*d. Calculate -4*l(s) + 2*y(s).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + 1 + z - 6*z + (-2*z - 2 + 2)*(1 + 1 + 0).\nAnswer: -7*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6\/5 + (-502936)\/397730\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4641253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 11*m**2 - 18*m + 2. Let l be i(9). What is the second derivative of -w**2 + 4*w**2 + 16*w - 3*w**2 - 18*w**l wrt w?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, 2\/3, 0.04?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - (-29 - 4)) + 0 + 11 + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-119)\/(-51) - (-2)\/3. Which is smaller: 4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9720 and 9720.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9065 = g + 5*c, -18*c + 19*c = -g + 9057. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**6\/80 + 13*m**5\/60 + 3*m**4\/16 + 10*m**2 - 7*m. Factor f(a).\nAnswer: -a*(a - 9)*(3*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 204926624?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4818 take away 0.62548?\nAnswer: -4818.62548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 443 + 162 = -b, -3*o + 2*b + 363 = 0. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 24 = -8. Let x(a) = -4*a - 8 + 9*a**2 - 2*a + a**3 - a**2. Let v be x(o). Calculate the highest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 172919 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -539 times 347472\nAnswer: -187287408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -437.78 and 5.3.\nAnswer: -2320.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 8:16 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 6. Give c(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 13*j**2 - 4*j. Let p be r(13). What is the remainder when 4 - p\/(-12) - (-268)\/3 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 451371 + -4274?\nAnswer: 445075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*j, 3*o - 3*j + j - 145 = 0. Suppose -6*u + 5*u - 59 = 0. Find the common denominator of o and u\/95 + (-2)\/(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**2\/2 - 32026566*h - 170950154958726 = 0.\nAnswer: -10675522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -1)\/(3\/(-9)). Suppose u - 24 = -t*u. What are the prime factors of -4*5*(-3)\/u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, z: 3, m: 1, q: 8, j: 5}. What is prob of sequence zjq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/27)\/(295\/7965).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 + 66. Let x(z) = -11*z**2 - 4 - 2*z + 2 - z**3 - z**2. Does 6 divide x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/6*o**2 + 1\/6 - 1\/3*o = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -1.3. Which is the second biggest value? (a) 1\/9 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-40)*(8\/42)\/(66\/(-231))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m. Let d(h) = -1829*h**2. Calculate g(d(u)).\nAnswer: 3658*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*t - 2*t - 4*t)*(3 - 3 + 8) in the form m*t + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -746, -743, -738, -731?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -8*i. Suppose 312*t - 310*t - 80 = i. Let y = 14 - 4. What is the highest common factor of t and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-15)*(1 + -2). Let f = 20851\/7 - 2979. Which is the closest to 1\/3? (a) f (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -3\/4 (b) 0.216977 (c) -3\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 17*b - 82. Give o(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56082196 + -1.18.\nAnswer: -56082197.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 87404?\nAnswer: 87404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 222\/13, 1\/7, -1\/15, -0.04?\nAnswer: 222\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -a87d?\nAnswer: a886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - -61cc9?\nAnswer: 61cb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 + 88. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c**3 - 26030385*c - 328708051?\nAnswer: 12*c**2 - 26030385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170274884 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 8:48 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 575\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -0.34 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 0 - 1\/360*q**6 + 1\/120*q**5 - 4\/3*q**3 + 3*q + 0*q**4 + 0*q**2. Let t(d) be the second derivative of g(d). Give t(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 5392 - u - 5269 + 10421.\nAnswer: 5*u - 240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvvzyzdzvddvmzzymv. What is prob of picking 1 m, 1 y, and 1 d?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - sqrt(130)*-1)*4)\/(-2*sqrt(10)*-1).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 6*y**2 - 6*y + 4. Let u be z(5). Let v be u\/(-4) + (-15)\/(-4). Find the first derivative of -2*r**v + 2 + 1 - 5 wrt r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -7. Suppose 21 = i*m + 6. Let v be ((-1)\/m)\/((-7)\/1617). What is the highest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p. Suppose 0 = -0*q - 4*q - 4. Let w(i) = -i + 1. Let f = -726 - -731. Let z(g) = f*w(g) + q*b(g). Calculate z(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2511, 4301, 7287, 11469?\n\"Answer: 598*v**2 - 4*v + 1917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.663756 kilometers to nanometers.\nAnswer: 663756000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69429 is divided by 4386?\nAnswer: 3639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -980 divided by 490\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-1)\/(2\/4). Let u(k) = -254*k**2 - 2*k + 1. Let a be u(m). What is the common denominator of -47\/10 and 3\/(-9)*a\/(-16)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 2. Let u(r) = 4*r - 10. Suppose -2*p + 5*n + 27 = 0, -13*n + 18*n = -25. Let t(s) = p*u(s) - 3*h(s). Determine t(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77635862 divided by 1?\nAnswer: -77635862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d - 5013500. Let f be 0 + 75721498\/9 + 8\/36. Let m = d + f. Round m to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161183493.2 rounded to the nearest 100000?\nAnswer: -161200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**2 - 47*g - 17. Calculate the remainder when 174 is divided by p(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*r - 361814 + 20225 - 165045. List the prime factors of r.\nAnswer: 2, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6741, -6737, -6735, -6735, -6737?\nAnswer: -6741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3367538 rounded to 3 dps?\nAnswer: -0.337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 310938480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3.1, 2\/5, 2.4 in increasing order.\nAnswer: -3.1, -1\/2, 2\/5, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -785551 by -62.\nAnswer: 785551\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78596 = 46*f - 280674. List the prime factors of f.\nAnswer: 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10220239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 420*r**4 - r**2 + 5*r - 2881.\nAnswer: 1680*r**3 - 2*r + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from zooozoijzhooh?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 217. Let d = -1655 + 1528. Let g = i - d. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 2:31 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -24\/839?\nAnswer: -24\/839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/2 + (-56)\/(-7). Suppose -4*v + 12 + g = 0. Solve -2*x - 11 = 3*i, -v*i = x - 2*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 90*k**3 - 3 - 238*k**3 + k + 3 + 2*k**2. Let m be u(-1). Let p = m + -104. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 = 2*i, -3 = 4*y + 9. Let k be (1 + -2)\/((-1)\/i). List the prime factors of k\/7 + 2948\/77.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*g + 837*g + 12 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197281.\nAnswer: 1197281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**5 + 3*o**5 + 3*o**5)*(1 - 2 + 4).\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45e33 - af?\nAnswer: -45ee2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 2, 0.2, -1 in increasing order.\nAnswer: -33, -1, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240043130 (base 5) to base 4.\nAnswer: -10023233121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173345.\nAnswer: 5, 37, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + 6.2. Suppose -22*j + 2*w = -23*j + 5 - 0, 15 = 5*w. Sort 4, j, r.\nAnswer: j, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -6, -52, -150, -318?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34b16 (base 12) to base 13.\nAnswer: 26262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let v(q) be the second derivative of -q**4\/12 + 158*q**2 + 2302*q. Calculate v(h(f)).\nAnswer: -f**2 + 316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6 = 0, 4*k - c = -12 + 242. Let d = -319 + 588. Suppose 4*h - d = -k. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13738135 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 937 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u + 6*u + 19 - 5*u. Calculate the remainder when a(11) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h = 4*d - 42*h + 4, -26 = 2*d + 4*h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 7. Let d be g(-4). Let c be (2 - 3)*1 - d. Let x(f) = -2*f - 7*f**2 + 15*f**2 - 5*f**2 + c. What is x(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 532 + -254. Let u = m + 74. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9 + 6 - 4)*(-4 + 2*p + 4) - 2*p + p - 2*p + 3*p - 2*p + 0*p)*(2 + 1 + 0 + (1 - 5 + 3)*(0 + 2 - 3) + 0 + 1 + 5).\nAnswer: -160*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 2*q**2 - 179*q + 2596. What is o(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2465 + 2464.5. What is the nearest to 1 in q, 2.3, -3, 4?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*x + 655. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 201541585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 7257.\nAnswer: 94341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0822405 and 758.\nAnswer: 758.0822405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4100 + 4100.3. What is the smallest value in -1\/397, -3\/7, v?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/14054000 and 119\/2200?\nAnswer: 154594000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*b**3 - 76*b**3 + 37*b**3 - 286*b**3.\nAnswer: -463*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0203 (b) 0.65 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -37. Let l(i) = -14*i + 1. Let h be l(z). Let q be 6\/(-2) + (-10 - h). Solve -5*a + 10 = q, -2*w - 5*a + 11 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 8*x + 5, -o = x - 16. Let u = 3 - -2. Calculate the smallest common multiple of u and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-216*y + 37*y - 42*y)*(-5*y**3 + 3*y**3 + 3*y**3).\nAnswer: -221*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 93\/5. Let x = 0.0156 - -9.3544. Let v = 8.37 - x. What is the closest to 0.1 in -3, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/9674744 and -73\/18.\nAnswer: 87072696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 12:46 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 11*m**2 + 5*m + 9. Let h be a(-6). Let x = -68 + h. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -27\/4*n**4 + 0*n + 7\/3*n**3 - 4\/5*n**5 + 165 - 3\/2*n**2. Find the third derivative of p(o) wrt o.\nAnswer: -96*o - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3053 = 78*p - 3911 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55403464 to the nearest integer?\nAnswer: 7443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*b = 2*w - 10, -5*w + b + 9 = 0. Suppose w*z - 55 = -17. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Suppose -50 = -z*f + 3*y, 2*f + 3*y = 5*f - 69. Let v(x) = 8*x**2 - 2*x + 1. What is the remainder when f is divided by v(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -221*b + 187*b - 170 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -1, -6, -4, -513, -20 in decreasing order.\nAnswer: 38, -1, -4, -6, -20, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 u, and 1 w when four letters picked without replacement from pwexcpcuupxu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*o = 16, -10 = -3*o + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732*p - 3807 = -873*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*n + 16050 = -80*n + 797*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) 3 (c) 7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**3 - a**2 + 2*a. Let f be t(-2). Let w = -2393 - -2398. What is the greatest common divisor of f and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d + 10. Suppose c = -u - 18, -2*c + u = -c + d. What is the units digit of (1 + 2)\/((-3)\/c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 - 106. Suppose 0 = 3*b + 4*a + 29056, -z*b = -2*a + 7988 + 11364. What is b rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/9 - (-50)\/(-18). Let y be 1\/(-1*h\/15). Solve -y*g + 0 = 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u - 62 = -144 - 278 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.051 + 0.981. Let q = 0.07 + j. Which is the second biggest value? (a) q (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23976.653 + 23990. Let d = -13.4 + h. Let s = 0.053031 + d. Round s to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v. Let p(f) be the first derivative of 2*f**3\/3 + 35. What is p(y(z))?\nAnswer: 98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6)*-3 - -133. Suppose -l = 3*l - x. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0656 - 0.5656. What is the smallest value in -1, m, 4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 1 + 1. Let q = -1 - t. Let w be -3 - -2 - q\/6. Which is the second smallest value? (a) w (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8783*c**2 - 184*c - 1481. Is h(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13524476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3524925 by 6.\nAnswer: 1174975\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -3, 87136 in descending order.\nAnswer: 87136, 40, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:32 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1212 - 151. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 33, 63, 107, 171, 261?\n\"Answer: u**3 - 2*u**2 + 21*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v + 4731 = 0. Let q = v + -56873\/12. What is the common denominator of q and 23\/(-16) + (-2 - -4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*t - 28. Let a be 0\/(1\/((-1)\/(-1))). Suppose -2*q - 5*g - 12 = a, -2*g - 2 = 3*q - 6. Calculate the remainder when t is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/315*3 + 423\/189.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -0.64, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10880140 is divided by 546?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 202 - 198. Solve -o*b - 13 = -3*m, b + 4*m = 4*b + 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 11*j + 34. Let b be 52\/14 - 6\/(-21). Let d = b + j. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 4*l + 4. Let j(p) = 560*p**2 + 721*p + 847. Let r(d) = -35*d**2 - 45*d - 53. Let m(h) = 4*j(h) + 63*r(h). Give 49*b(n) - 4*m(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 2*t + 5. Let q be c(-4). Let d = q + 25. Let a(w) = -2*w**2 - 12*w + 8. Let j(o) = o**2 + o. Let k(z) = -a(z) - 3*j(z). Calculate k(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -92 + -5?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0668339 nanograms?\nAnswer: 0.0000000000668339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 82 = 10*s - 9*s, s = -w + 14. Let l be (-2)\/(-9) + 28\/36. Let i(z) = 4*z**2 + z - 1. What is the lowest common multiple of i(l) and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k*m**4 + 7405*k*m**3 - 2*k*m**2 + 9*m**4 - 2*m**2 + 4*m - 31030 wrt m.\nAnswer: -48*k*m + 44430*k + 216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by -221458\nAnswer: -114\/110729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1970 + -1965. What is the third biggest value in -3, 1\/61, y, 2?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1384826931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/720 and -29\/951.\nAnswer: 228240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + 63. Let h be q\/((-24)\/18) + 1*-3. Let b be (-3299)\/3 - (h\/(-18) + 0). What is b rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2976 and 2448240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(462\/(-55))*9\/(-6)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 44010, 172173, 385778, 684825, 1069314, 1539245, 2094618?\n\"Answer: 42721*q**2 + 1289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34, 46, 58, 70, 82?\n\"Answer: 12*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10101001000?\nAnswer: 10101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -142274*j**2*m*s - j**2*m - j**2 - j*m*s - 33785*m wrt s?\nAnswer: -142274*j**2*m - j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (110130\/(-50))\/((-154)\/120 - 125\/(-100))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 - (7 - (23 + -13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 55, -0.4, -1\/4, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.0096 + -6.2194. Round i to one decimal place.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(1*sqrt(8)) - ((sqrt(11) + -2 + -4)**2 + sqrt(11)).\nAnswer: -47 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5741 less than or equal to 5744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3*k - 1 = 0, -3*k + 31 = 4*o - 0*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 2. Let w be (-3)\/2*12\/9. Let m(v) = -3. Let y(k) = w*m(k) - 3*c(k). Let j(f) be the third derivative of f**5\/30 - f**2. Determine y(j(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -1\/15*x**6 - 1\/12*x**4 + 0 - 2*x + 0*x**2 - 1\/12*x**3 + 7\/40*x**5. Factor r(c).\nAnswer: -c*(c - 1)**2*(4*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.13 + -2.13. What is the closest to v in -69, 1\/3, 5\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.58 less than -816?\nAnswer: -814.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676 = -a + 1634. Let w = a - 429. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f + 4*q = -91, -2*f - 3*q + 55 = 0. Suppose 35 = 3*p + f. Solve s + 4*a + 11 = 0, -4*s - p*a - 9 = 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*m - m - 3111 = 0, 0 = -5*x - 5*m + 3855. List the prime factors of x.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p + 3. Let r(m) = 4*m + 2. Let c(b) = -o(b) - 2*r(b). Calculate c(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f**3 + 0*f)*(3*f + 0 + 0) - 4*f**4 + 3*f**4 + 2*f**4 + f**3 - f**3 + 3*f**4 + (2*f - 2 + 2)*(-24*f**3 + 102*f**3 + 14*f**3).\nAnswer: 185*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 11 = -a - 2*h, h - 13 = -3*a. Let m be 3 - (82\/36 + (-12)\/(-24)). What is the closest to m in a, -3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -684 divided by -171?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**11*q)**34*(q**(3\/2))**32 assuming q is positive.\nAnswer: q**(-258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18610 is divided by 153?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6295558901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 9:50 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/19)\/h)**26*(h**3*h)\/h**(2\/49) assuming h is positive.\nAnswer: h**(1138\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 6 = -12*o - 2*k, -4*o - 5*k - 29 = 0. Let a(z) = -8*z. Determine a(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83\/(-70) + 261\/203.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-6) + 7)\/((-15)\/(-5))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2 = g, 919*m - 916*m = 5*g - 18. Let u(n) = -12*n**3 - 2. Determine u(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.108080043 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyz when three letters picked without replacement from yvzvvzyvvy?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -145678320 divided by -10\nAnswer: 14567832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900.5549um to nanometers.\nAnswer: 900554.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.7 + -20. What is the nearest to -0.4 in 1, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, -11, -3, 19, 61?\n\"Answer: u**3 - 2*u**2 - u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1535012, 1534996, 1534968, 1534928?\n\"Answer: -6*s**2 + 2*s + 1535016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 25 + 685 = 0. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 905*o - 890*o + 195 = 0. Let s(w) = w**2 + 12*w - 8. What is s(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/(2 + -1). Which is the fourth smallest value? (a) 1 (b) -5 (c) -0.5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(133)*-1 - sqrt(133))\/(-6*sqrt(28)\/sqrt(4)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 11*g**2 + 9*g + 4. Let q be (-6)\/((-2)\/((-8)\/3)). Let d be k(q). Calculate the greatest common factor of 31 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 8. Let g(c) = -5*c + 0*c + d*c - 3. What are the prime factors of g(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4383 + 4767. Calculate the highest common factor of 276 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/3 - 750*t**4 + 92062*t**3\/3 - 394906*t**2 + 1534608*t - 1169640 = 0.\nAnswer: 1, 5, 18, 1083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i + 2. Let a(k) = k**2 - 7*k - 7. Let t be a(8). Let v(j) = -t + 4 - 4 - j. Let q = 21564 - 21565. What is q*l(x) - 2*v(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t - 4. Let r be z(6). Let b(m) = -2*m**2 - 68*m + 31. Let s be b(-35). Let y = r - s. Which is smaller: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9 - 6*(-40)\/(-24) - -11362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33337, 42107, 50875, 59641, 68405?\nAnswer: 77167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-8))\/((-5100)\/306 - -12).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 84, 0.01, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -348*h**3 + 704*h**2 - 364*h + 8 = 0.\nAnswer: 2\/87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 at least 47\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aarra. What is prob of sequence ara?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:40 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 less than -30205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 9 - -4) + 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3134067 is divided by 6306.\nAnswer: 6291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(48)\/sqrt(4)) + 4 - (sqrt(48) + -1 - (sqrt(3) - (1*sqrt(75))**2 - sqrt(3))))*5.\nAnswer: -350 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-3))\/((-1)\/(-4)). Let l = 11 - f. Suppose 3*a + v + 8 = 0, 3*v - 4*v = a + 4. Sort l, -4, a in descending order.\nAnswer: a, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 7803725.\nAnswer: 85840975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -281 - -162. Let x = 203 - 332. Let v = i - x. Solve 6*b - b = -v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 18, p: 1}. Give prob of picking 4 u.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*a + 28. Let m be 1\/2 - 11\/(-2). Let r(c) = -3 - 1 - c**2 + 1. Let q(t) = -1. Calculate a*r(z) + m*q(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y + 2 = 0. Solve -y*g + 4*s - 2*s + 6 = 0, 5*g = -2*s - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3354731*u = -3354808*u + 1386 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 2:12 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y + 6. Let b be y\/6 + (-4)\/6. Let l = -3.9 - -0.9. What is the closest to -0.1 in -0.3, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3 + 1 - 3*y - 5. Let i(v) = 3*v - 1. Let u(f) = -f. Let k(d) = i(d) + 6*u(d). Let x(p) = 3*k(p) - 2*z(p). Differentiate x(b) wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -672145.\nAnswer: 672138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**2 - 1. Let y = -28 - -18. Let x be y\/(-2) + -1*4. What is m(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to 5\/102151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30771\/5 + 6197. Let l = 43 - h. Let c = -0.3 - -1.3. Sort c, 0, l.\nAnswer: 0, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 15*b**2 - 30*b - 19. Determine m(-10).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3974.\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -54106.932 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 22 (b) -2\/19 (c) -2129 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 48*i - 44*i. Calculate the remainder when i is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/(-1170)*25*(-8)\/10?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(12)\/sqrt(3)) - (3*sqrt(17)*-1 - sqrt(17)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5785686983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2110 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y. Let l(i) = -1. Let d(u) = u + 5. Suppose 4*c + 0 + 40 = 0. Suppose 2*m = 7*m + 10. Let r(p) = c*l(p) + m*d(p). Calculate r(n(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18646694?\nAnswer: 2, 11, 847577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7999642 and 79996420.\nAnswer: 79996420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 2, f: 1, o: 1, w: 1, l: 2}. What is prob of picking 1 d and 1 f?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzhatznntzzntnnhnht. What is prob of picking 1 z and 1 t?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, -2, -1\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466 = 5*u - 2989. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -569, -567, -565, -563?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74004 and 1960.\nAnswer: 5180280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53201647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*((r*r**8)\/r)\/r)*r**(-17))\/((r\/(r**(-1)*r))\/r**14) assuming r is positive.\nAnswer: r**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**4\/2 + 2430*i**3 + 276549*i**2\/2 - 145557*i - 281400 = 0.\nAnswer: -56, -1, 2, 1675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 8*i + 1. Let o(f) = -3*f**2 - 15*f - 2. Let x(s) = -3*o(s) - 5*v(s). What is x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(2\/3*-3). Let f be (0\/2*l)\/1. Find the second derivative of -5*j + j - 2*j**4 + f*j**4 wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -15*c**2. Suppose 32*g - 27*g - 450 = 0. Let a = -86 + g. Let h(y) = 1 - 456*y**2 - 1 + 449*y**2. Calculate a*j(k) - 9*h(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/(-27) + 4 - 2\/(-6). Solve 0 = -i*q - 5 - 13 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5059627.\nAnswer: 5059627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g + g**2 + 3*g - 6*g. Calculate m(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002212201 + -100?\nAnswer: -1002220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**3 - f**3 - f**3 + (-2*f + 0*f + 3*f)*(-f**2 + 0 + 0) + 3*f**3 - f**3 - 4*f**3 + 4*f**2 - 4*f**2 + 2*f**3 + 4*f**3 - 6*f**3 - 11*f**3.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 490*y - 357*y**2 - 490*y + (-y + y + y)*(-2*y + 0*y + y) - y**2 - y**2 + 3*y**2 as i*y**2 + j*y + h and give i.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.226283 rounded to two decimal places?\nAnswer: 148.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 2 + 3*w - 7*w - 5*w. Let q be c(2). Let r = 3 - q. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.1098?\nAnswer: 0.01098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d - 1 = 146 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2. Let c(k) = 14*k + 6. Let a(b) = -280*b - 119. Let y(p) = -6*a(p) - 119*c(p). Determine s(y(t)).\nAnswer: 980*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/36)\/((-90)\/(-486))*(-50)\/45*-33.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + x**2 + x - 1. Let u(c) = 4*c**3 + 23*c**2 + 8*c - 42. Let l(s) = -5*m(s) + u(s). What is the units digit of l(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245028 is divided by 866?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 11 + 14 = 5*g, 3*g - 14 = 4*l. Suppose r = b + 1 - g, r = -4*b + 10. Find u such that 0 + 2\/9*u - 4\/9*u**2 - 2\/3*u**b = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (3 - (1 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -1, -0.4, 713.61, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 3*c. Suppose c = -d - 35. What is the units digit of (58\/5)\/((-14)\/d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n + 128. Let f(g) = -3*g. Give t(f(c)).\nAnswer: 30*c + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (-96)\/(-28) + -3 - 3466\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6621562?\nAnswer: 2, 23, 143947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066367553 - -115?\nAnswer: 114.933632447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47542.\nAnswer: 2, 11, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -64. Let n be -1*(1 + 1 + -21). Suppose 0 = -5*q + i + 75, 5*q - i = 4*q + n. Calculate the remainder when f is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 12523.555.\nAnswer: -25047.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -592 + -11?\nAnswer: -5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.22 and -6?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 9*b**2\/2 - 7*b - 1. Let l(x) = -4*x + 3. Let t be (-6)\/(-4)*42\/9. Give t*l(w) + 3*g(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8861833 (base 9) to base 8.\nAnswer: 22132025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000083404 rounded to seven dps?\nAnswer: 0.0000834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**3 + c**2 - 5*c + 3. Let u(m) = 4*m**3 + m**2 - 4*m + 2. Let b(f) = 6*u(f) - 5*x(f). Determine b(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11224 - -54173. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 17, x: 2}. What is prob of picking 2 x and 2 r?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**5\/30 + 3*p**2 - 3. Let d = 13 + -9. Let a(b) = 3 + d*b - 3. What is a(f(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d*g + 81705*d + 2900285*g with respect to d.\nAnswer: 3*g + 81705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-7)*4\/((-36)\/63)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 - 11*n + 13. Let o(x) = -3*x**2 + 10*x - 12. Let z(q) = -5*o(q) - 4*r(q). Let u(y) = -9*y**2 - 13*y + 17. What is -6*u(c) + 13*z(c)?\nAnswer: -11*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -1\/2, -2, 1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127.58 + 212.92. Which is the smallest value? (a) 1\/4 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**4 + 633*k**3 + 13803*k**2 + 63663*k + 50490 = 0.\nAnswer: -187, -18, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 852404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123379.000061649 + -123379. What is w rounded to 6 decimal places?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 0, 522, 5, -449, -8 in descending order.\nAnswer: 522, 5, 4, 0, -3, -8, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 3) + 16 - (1 + 2 + 36).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 5. Suppose 2*l = 2*x + 18 - 32, 27 = -3*x - 3*l. Let j(z) = 1. Calculate x*f(u) + j(u).\nAnswer: u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-17)\/(f\/f**(-2))**(-2\/31) assuming f is positive.\nAnswer: f**(533\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1367, -4688, -10231, -18002, -28007, -40252, -54743?\nAnswer: -71486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 105081112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/3 + 1871*l**3\/3 - 227806*l**2\/3 - 77808*l + 153120 = 0 for l.\nAnswer: -2, 1, 132, 1740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 + 4741452*z + 2810170883538 = 0. Calculate z.\nAnswer: -1185363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 29 = -2*q - 0*o, -3*q + 26 = o. Let x(a) = 2*a. Calculate x(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + 9*t**2 - 12*t - 9. Let a be j(5). Let k = 86 - a. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 10 = -q + 7, 2*q = -8. Let g(i) = i**3 - 6*i**2 - 5*i + 2. Determine g(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60\/7, 9, -1.1, -0.021 in descending order.\nAnswer: 9, -0.021, -1.1, -60\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/(-10))\/(14\/(-35)). Is (1 - -1394) + (-5 - u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 227 + -221. Suppose -t*x - 9*x = -60. Solve 2 = -x*w + 5*r - 5, -3 = 3*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k - 11*k + 7*k)*(4 - 5 + 3) - 8 + 8 - 5*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(-2*sqrt(12)))\/(2*sqrt(567) + sqrt(7))*1.\nAnswer: -sqrt(3)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 589, 1210, 1843, 2494, 3169, 3874, 4615?\nAnswer: 5398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**5\/10 - m**3\/3 + 2*m - 9. Let s(i) be the first derivative of t(i). Factor s(v).\nAnswer: 2*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/198)\/((-6)\/8).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12897 and 22928.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 3*t = -3*x - 6, 5*t - 18 = 2*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - 2*h - h + 0 - 4 + 1 + 7*h**2 to b + d*h + c*h**2 + u*h**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 - 1)*(4*j - 4*j + 5*j) + (4*j - 6551 + 6551)*(-2 - 2 + 1) to r + o*j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 39*r + 13. Calculate k(-2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**3\/2 - b**2\/2 - 157*b + 1. Let m(s) = -1. Give -k(u) + 5*m(u).\nAnswer: -3*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5198*f**2\/9 + 421030*f\/9 + 72.\nAnswer: -2*(f - 81)*(2599*f + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -29 - (5 - 3)) + 26\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (4 - ((3 - -4) + -2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.44 minus -1220424?\nAnswer: 1220420.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 280.5 (c) -1\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 3:50 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -51993 (base 13) to base 4\nAnswer: -203303103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97436\/9 - 10838. What is the second smallest value in -5, b, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**2*o**3*x**2 - 2*l**2*o**2 - l**2*x**2 - 39*l**2*x - 168*o**3*x**2 - 2*o*x**2 wrt o.\nAnswer: 6*l**2*x**2 - 1008*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 52 - 13 = 0. Let x be -3*t\/15 + 5. Solve 5*m + 21 = -x*l, -3*l - 6 = m + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*d - 1108, 3*c - 2216 = -c + d. Let l = -1660\/3 + c. Put l, -5, 16 in ascending order.\nAnswer: -5, l, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12744252442 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 6. Let n be r(5). Suppose 7 - n = 2*t. What is the units digit of t\/3 + 0 + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 456909.\nAnswer: 22\/456909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - 87. Let s(i) = -i**3 + 5*i**2 - 5*i + 2. Determine s(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 + 54)*(4 + 0 - 1)*(2*m - 2*m + 2*m**2) + (-3 + 1 + 0)*(-2*m**2 + 3*m**2 + 0*m**2) to the form a*m**2 + z*m + l and give a.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 40 = -25*n. Suppose -31*y + 26*y = -n. Solve -2*r = z + 5, -r + y*r + 15 = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -h - 13, 2*g = -2*g - 2*h + 46. Let k(d) = 3*d - 15. Let j be k(g). Solve -3*s + 3*r = -j, 2*s + r - 2 + 0 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -268 - -413. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4052, 16190, 36418, 64736, 101144, 145642, 198230?\nAnswer: 258908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + 0*d**3 + 2*d**3)*(3*d - 3*d + 5*d**2) + 6*d**5 + 0*d**5 - 5*d**5.\nAnswer: 26*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 11:06 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00403551 rounded to 5 decimal places?\nAnswer: -0.00404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579471364?\nAnswer: 2, 144867841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6920987 - 6920961.293197. Let y = k - 25.4968. Let m = y - 0.21. What is m rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26678 minus -0.1?\nAnswer: 26678.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101738349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190\/579 - -1\/193. What is the closest to 0.1 in 3\/5, 3, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5616.2 - -4673. What is i rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/17? (a) -2 (b) -196 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (132 + (-549016)\/4160)\/(17\/16)\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15208365*d**4*t - 2*d**4 - d**3*t + 29*d**2*t + 2*d**2 + 53*d - 6773*t wrt d.\nAnswer: 365000760*d*t - 48*d - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 3*u = -12*a + 1379, -4*u = 3*a + 2043. Let t = a - -817. Calculate the highest common divisor of 330 and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -0.4, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2635*q + 1991938. Determine z(-756).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 41*b - 628. What is the smallest common multiple of n(-53) and 134?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 38440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 6*j**2 - j + 1. Let b(a) = -2*a**3 - 6*a**2 - 2. Let d(u) = -2*b(u) - 3*s(u). Determine d(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 4*u - 2. Let j be 32\/(-18) - (-18)\/(-81). Let i be c(j). Solve 0 = -4*r - 3*m - i*m, 5*r - 41 = 4*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*l + 3*m - 20652, -5*l - m + 25815 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 6*c + 222, 5*h - 792*c + 185 = -797*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**4 + n**4 + 3*n**4)*(112 - 375 - 144).\nAnswer: 407*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 = -4*o, 0*v + v + 8 = 3*o. Suppose -v*d + 3*d = -3*k - 5, -5*k - 3*d = 18. Let b be k\/(-2)*15\/18. What is the third biggest value in 3, b, 3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 36*p - 200 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 - 6 - 0\/1. Let s be (310\/(-4))\/(x\/(-6)). Suppose 0 = -5*k + 5*z - 2*z + s, -k + 14 = -4*z. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 917*u**3 + 39*u**4 + 925*u**3 + 18*u - 7 to the form v + n*u**2 + f*u + x*u**4 + w*u**3 and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 377 = -26*x. Let z(d) = 587*d**2 - 8*d + 1. Let c be z(x). What is c rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/(-20) - (-10)\/((-280)\/(-7)). Which is the fourth biggest value? (a) 1 (b) h (c) -0.044 (d) -13 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.184576m in centimeters?\nAnswer: 718.4576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36377356681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*u + 438, 5*u - 576 + 1661 = -5*y. Let b = -206 - u. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 384 (c) 2\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 divided by 47251.\nAnswer: 98\/47251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3238, -11184, -23882, -41326, -63510, -90428?\nAnswer: -122074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -0.2, 2, 6171, 0 in descending order.\nAnswer: 6171, 39, 2, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -5. Let a be (3 + d)\/((-1)\/(-1)). Suppose 0 = -a*o - 4*o - 4*p + 32, -3*o = -3*p - 30. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from ujuuuuuujuuuuuuuju?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2017352 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -22*d + 8*d + 8*d - 2*d + 10*d. Let h(f) = -947*f**2 - f. Calculate x(h(m)).\nAnswer: -1894*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-4)*(2 - 21712\/(-20)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3993 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j - 5*j + 4 - j - 39. Let h(p) = 8*p + 23. Let z(t) = -8*h(t) - 5*y(t). Calculate z(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -15, 2, 35, 90?\n\"Answer: d**3 - d**2 + 3*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 389479, 778926, 1168373?\n\"Answer: 389447*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7340548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p. Let l(k) be the third derivative of k**5\/60 + 2*k**3\/3 + 3*k**2. Let z(u) be the first derivative of l(u). What is z(m(o))?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*t + 189. Is 21 a factor of (9\/(-2))\/(t\/(-392))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3))\/(24\/(-18)). Sort -4, 1\/3, o in descending order.\nAnswer: o, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 22*m + 135. Let h(r) = -11*r - 67. Let i(z) = -5*h(z) - 2*q(z). Is 32 a factor of i(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2105323 - -121?\nAnswer: -2105202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252 (base 6) to base 10.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5 = -5*o. Let t(k) = -o + 1 - 2*k. Let h(g) = 4*g + 3*g - 4*g. Determine h(t(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597047868 to the power of 1\/2, to the nearest integer?\nAnswer: 39963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 105031 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 6, 9\/5, -3.4?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 17 - 3 = -5*b, -b = -3*i - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422172 = -123*j - 418113 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i - 1. What is the lowest common multiple of p(-3) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2068 is divided by 672.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1050\/1680*40\/35.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/19 in -4\/3, -7, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*l**3 - 52*l**2 + 283*l**3 - 150*l**3 + 52*l**2.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -1, -8031, 24, 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4d7cab (base 14) to base 5\nAnswer: -1141004130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 20\/(-1 + 6). Let f be 5\/((-60)\/(-8))*-15. Put 0, t, f in descending order.\nAnswer: 0, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*g = 5, -4*k + 2*k - 4*g - 30 = 0. Sort -2, k, 5, 1.\nAnswer: k, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 19*s + 25. What is p(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24234 (base 5) to base 6\nAnswer: 12231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*v + 3*p + 6, p = -2*v - 18. Let u = v + 8. Let f = 0.4 + -0.4. Which is the closest to f? (a) 0.2 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -37*s**3 + 4*s**2 + 6*s - 20. Let x be b(5). Let w = -54143\/12 - x. Find the common denominator of w and 225\/40 - (-1 - -2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 7106 (c) -125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 + 104*i**2 - 7*i**2 + 38*i**2 + i**2.\nAnswer: 150*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**1)\/d)**(-3\/22)*(d**0)**(-4\/3)*(d*d**(-4)*d)\/(d*d**(-2\/5)\/d*d)*d**(-7)*d**(-2\/11) assuming d is positive.\nAnswer: d**(-1061\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x - 20. Let w be n(-7). Differentiate -26 - g**3 + 10 - w*g + 15*g wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 121093570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 40*j - 225. Give c(-45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -128720000 rounded to the nearest 1000000?\nAnswer: -129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 4*a + 15*a + 3 in the form x + n*a and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/95 or 1?\nAnswer: -3\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.434 and 3.\nAnswer: 3.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4762660 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33.48 + 0.52. Let n = 33.905 - x. What is n rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23632 and 87776.\nAnswer: 614432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/((-2)\/(-12)). Let k = -249.4 - -276. Let y = -33.6 + k. Which is the third biggest value? (a) y (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392 + 3*m**2 + 392 - 14*m**2.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -865 divided by 9?\nAnswer: -865\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -32\/3*z + 1\/3*z**4 + 69 + 4\/3*z**2 + 20\/9*z**3. Factor i(p).\nAnswer: 4*(p - 1)*(p + 2)*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/6)\/(28\/35))\/(2768\/4152).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 1 = -m, 3*u - 2*m + 7 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -318?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 + -265 + 63 - (-1 - 33)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -207 - -1038\/5. Sort c, -0.5, 0.2 in decreasing order.\nAnswer: c, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310135444145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2\/10 + 214*g\/5 + 22736\/5 = 0.\nAnswer: -232, -196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*m - 26 = 0, -3*p - 6 = -5*m - 37. Suppose 2*b + 10 = -p*k, -3*b + k + 2*k = 15. Let h = 9 + b. Solve 4 = t + 3*d - 2, -t - h*d + 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3611 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 396157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/134307 and -113\/1296.\nAnswer: 19340208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3*x)*(-6 + 17 + 64) in the form q + f*x and give f.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 3. Let k(j) = j + j**2 - 3*j + 3*j + 23*j**2. Let t be k(1). Let m = 23 - t. Let g(h) = h**2 + 2*h - 4. What is m*g(a) - 3*v(a)?\nAnswer: -2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.2, -1.63, 0.03, -3\/5, 5, -11\/5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - v + 37. Let g(n) = 5*n - 6. Let r(b) = b. Let y(t) = -g(t) + 4*r(t). Let m be y(6). Is u(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j - 918. Let a(b) = -b - 5. Give 18*a(z) - 2*x(z).\nAnswer: -2*z + 1746","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**2 - 12 + 1\/6*t**3 + 1\/12*t**4 - 14*t. Let k(n) be the first derivative of u(n). Determine k(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Let w = -1.075 - 6.475. Let o = 6.55 + w. What is the nearest to 0 in o, c, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 338, 344, 360, 392, 446?\n\"Answer: k**3 - k**2 + 2*k + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -50721.82339 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fmtmffmmtft.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 538*z**3 + 668*z**3 + 2820247 - 2820249 - 307*z**3 to the form d*z + j*z**3 + k + q*z**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-2 - -1) - ((20 - 34) + 23).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75*(-9)\/(-756))\/((273\/(-364))\/(18\/(-15))).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -26*y + 13. Let c(z) = -z + 2. Determine 6*c(t) - n(t).\nAnswer: 20*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -10. Suppose -w*r = -2*o + 2, 5*o - 49 = 2*r - 3*r. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/6 and 25\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a15c6 (base 14) to base 16.\nAnswer: e20ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -39*y**2 + 77*y - 224. Let h(p) = 26*p**2 - 51*p + 160. Let s(n) = -7*h(n) - 5*m(n). Let x(v) = -5*v**2. Determine s(x(w)).\nAnswer: 325*w**4 + 140*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**6\/120 - n**5\/20 - n**4\/8 - n**3\/3 - 5. Let z(q) be the third derivative of j(q). Factor z(m).\nAnswer: -3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -244.822551 or 0.05?\nAnswer: -244.822551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 60*k - 53*k. Let l(d) be the first derivative of 7\/3*d**3 + 0*d**k + 3 + 4*d. What is the derivative of l(g) wrt g?\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 130*u**2 + 245*u + 120.\nAnswer: 5*(u + 1)**2*(u + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 6*f**2 - 3. Let l be i(-6). Let c(s) = s**3 + 3*s**2 - 4*s + 1. Let j be c(l). Solve -4*a + 3*w = 8, -5*a - w = w - j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2525 and 350?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 50*l - 53*l + 6, 2*l - 5*k - 7 = 0. Sort 4, l, -2, 111, 7.\nAnswer: -2, l, 4, 7, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/33 - (-2)\/(-11))*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 27*k - 31 + 19 + 27*k + 8*k**3 - 5.\nAnswer: 8*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*l**3 + 9*l**2 - 6*l + 1097?\nAnswer: 21*l**2 + 18*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -18.3. Let g = -17 - m. What is g rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213184007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -31, 3\/8, 19, -2\/9, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e2d3 (base 16) to base 7.\nAnswer: -331202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.26 and -2509?\nAnswer: 2508.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (55 - 105) + 17\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 2 (b) 3 (c) -15\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 43, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -22 + (142 - (-12 - -50 - 31))\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 428887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2904, -5948, -8992, -12036, -15080, -18124?\nAnswer: -21168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 + x**2 - x + 1. Let k be t(1). Suppose -d - 2*m + 119 = 6, -k*d + m = -443. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1806 or 270.4?\nAnswer: 1806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72.96 - -73.36. What is the closest to -4 in 10, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t + 5. Let j be s(-4). Let n = j + 29. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**2)\/z)**34\/(z*z\/(z\/(z**(3\/10)\/z))*z**(1\/2)\/z*z) assuming z is positive.\nAnswer: z**(-344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 5*t + 333. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-306)\/1020)\/(3\/650).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghfgnhxhggxbgnhnn. What is prob of picking 1 f and 1 x?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/(-8))\/((-175)\/(-14) + -14).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f + 909 = 406*f + 538*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from huuhuuuhuuhhuhhuhh?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 428? (a) -4\/7 (b) 8 (c) -0.3 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -3. Let v(o) = -3*o**3 - o**2 - o - 1. Let a be v(q). Does 8 divide 2\/(1\/(17\/a))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 13*x**2. Let f(p) = -48174*p**2 - 4*p. Determine f(k(g)).\nAnswer: -8141406*g**4 - 52*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.8 + 2.8. Let t = -2.1 + 2. Is p > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11184, 40635, 89724, 158445, 246792, 354759?\nAnswer: 482340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13156033.\nAnswer: 11, 1196003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24601237 divided by -5.\nAnswer: -24601237\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -13. Let z = c - -12. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322260 divided by -524?\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*(sqrt(468) - (-2 + sqrt(468)))*5 - (5 + (sqrt(468) - (1 + sqrt(468)))*3))**2.\nAnswer: -3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.9 (b) -0.5 (c) 14 (d) -0.3 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.01410572*4\nAnswer: -0.05642288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 51. What is the units digit of r\/54 - 1726\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29298 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2823509 and 559?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - ((1 - -3) + -2). Suppose -2*f = -4*f - 5*m + 15, 3*m = -f + 9. Let r be 4 + 4 + 12\/(-3). Solve -l*h + h - r = f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -138.7 and -0.4.\nAnswer: 55.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -359, -293, -185, -35, 157?\n\"Answer: 21*i**2 + 3*i - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-55)\/(-5) + 20\/(-4). Suppose -930 = -z*b - 12390. Round b to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/11)*c*c)\/(c*c**1)*(c**(2\/3)\/c)**(-1\/2)*c*c**(-5)*c**(-3\/7)*c**1\/(c*c**(-2\/7)*c) assuming c is positive.\nAnswer: c**(-2383\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 - -10?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23807, 48379, 72951?\n\"Answer: 24572*z - 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 468781682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -770 - 870 = -5*o. Let u = -14756\/45 + o. Let d = 2\/45 + u. Put d, 0, -3 in increasing order.\nAnswer: -3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40234122334 - 5?\nAnswer: 40234122325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 16*h + 3*h - 13*h - 8*h. Let o(r) = 2214*r + 2. Determine o(l(v)).\nAnswer: -4428*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2581664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529204763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6824, 6782, 6740?\nAnswer: 6698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -26*q**2 - 909*q + 42. Determine w(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 2*s**3 + 2*s**3 + (-2*s**2 + 4*s**2 - 6*s**2)*(5 - 5 - 6)*(4*s - 2*s - 4*s) to the form x*s**2 + z*s + b + n*s**3 and give n.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = y + 17. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.217, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 897266369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9514 + 95221\/10. Which is smaller: 9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 818396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21446\/15 + 1429. Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/38 and 97\/871132.\nAnswer: 16551508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 3:06 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*f + 45, -21 = -f + 4*l - 8*l. Let r(i) = 5*i - 2*i - 4*i + 6*i + f. Is r(5) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.55 - -0.28. Let g = 9.92936 + -9.66. Let j = g + f. Round j to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -613845*n - 303054 with respect to n.\nAnswer: -613845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 23911579\nAnswer: -239115.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.975653 litres to millilitres.\nAnswer: 9975.653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3068c8 (base 13) in base 11?\nAnswer: -700a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7631199 is divided by 93?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 308725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*l - 1162 + 9154. Suppose -95 = -3*b + 187. Let i = l + b. Solve -t = 4*t + i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 less than or equal to -997196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, y: 4, o: 4, t: 1, i: 3}. What is prob of picking 1 y and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.388 + 0. Let m = y + 0.37. What is m rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2112001311 (base 4) to base 6\nAnswer: 21100553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/1)\/((-13)\/(-286)). Let t = r + -89. Is -3 + 1 - (758 - t)\/(-3) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 348, 524, 698, 870?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1698*a + 33 - 33.\nAnswer: 1698*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 29685048 and 6?\nAnswer: 29685042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -45 + 36 + 7\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -676, -675, -676, -679, -684?\n\"Answer: -p**2 + 4*p - 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83 or -75?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4722281cm in micrometers?\nAnswer: 4722.281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 178*n + 268. Give o(-2).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - 0. Let y = -5 - l. Suppose -4*j + 5 + 71 = 4*g, y = -g + 3*j + 7. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(4\/(1 + -5) - 25*5\/(-35)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**23*j*j**(-11\/4) assuming j is positive.\nAnswer: j**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 3:55 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180340391 to the nearest integer?\nAnswer: 13429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 4. Suppose 4*h - 17 = -4*k + 3, 0 = k - 1. Let m(x) = -x + 6. Let s(w) = h*m(w) - 6*r(w). Let d(b) = -3*b. Calculate 6*d(c) + 5*s(c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = 3. Let d(h) = h - 2. Let p be d(2). Let t(w) = 1 + p - 4 - 5*w. Let n(b) = 9*b + 5. Give i*n(v) + 5*t(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.7488 rounded to 0 decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10 + (-1480)\/(-150) - (170\/(-25) + 4). Solve 2\/3*y**2 - 8\/3*y + p = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5671062 + -5?\nAnswer: 567105a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 508503591 and 2463.\nAnswer: 2463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1628725.8 hours to days.\nAnswer: 67863.575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.442 + 0.042. Let r be ((-1)\/(-5))\/((-4)\/4). Which is the closest to -3\/5? (a) 2 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03184652 to five dps.\nAnswer: 0.03185","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04839289338757 + -0.1.\nAnswer: -0.14839289338757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7909*m + 7908*m + 3*x + 20, -2*m - 3*x - 14 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 17667?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(sqrt(147) + 0 + sqrt(147))**2 + sqrt(147)).\nAnswer: -14700 - 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2174 - 2153. Calculate the greatest common factor of q and 602.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2973\/16 + 401207\/2160. Calculate the common denominator of g and -79\/135.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -309605 - -0.71?\nAnswer: -309604.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 32, -424, 0, 1, -4, 8 in descending order.\nAnswer: 32, 8, 4, 1, 0, -4, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 195.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -3\/2*s**5 + 11 - 1\/2*s**3 + 0*s**2 - 3\/2*s**4 - 1\/2*s**6 + 0*s. Suppose i(u) = 0. Calculate u.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4 = 2*b. Let j be (1 + b)*(-2 - -2). Suppose q - 7 = -j*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.101*-3.\nAnswer: -33.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4059417313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-5)*1650\/1980?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egyg when four letters picked without replacement from {s: 10, g: 2, e: 1, a: 2, y: 4}.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 52\/(-12)*((-2 - -2) + -3). Suppose -4*i + i - 5*z = v, 0 = 5*i - 4*z - 40. Which is bigger: 6 or i?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 3481*c**4 + 1415039*c**2 - 2*c**3 - 1415039*c**2 + 0*c - 2*c as q*c**2 + y + x*c**3 + l*c + h*c**4 and give h.\nAnswer: -3481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**2 - 71*q + 56. Let m be p(15). What is the highest common divisor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/3*11\/((-110)\/15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 4*i + 2, -7801*i + 14 = -5*o - 7799*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.138 + 10.955. What is o rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:58 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 8. Give m(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 107 = -6*m + 2*m, -m + 33 = 2*w. Are m and 23 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1431 - -2576. Calculate the remainder when r is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 25490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6458.52 + -3451112.48. Let k = -3457600.000205 - i. Let d = -29 - k. What is d rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Suppose -y = -4*g - 4*k, 23 = -5*g + 4*k + 1. Let b be (3\/6)\/(g\/(-20)). Solve b*i + 19 = 3*s, -3*s - 4*i = -1 - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 19*n + 26. Let k be c(18). Let v(f) = -f**2 - 3*f. Let g be v(-3). Solve g = -4*p - 0*p + k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68247+133543835\nAnswer: 133612082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 6:46 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68443 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isni when four letters picked without replacement from {q: 1, z: 1, s: 1, n: 2, i: 2, t: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 - 403*j. Let o(b) = -5*b**2 + 605*b. What is -5*o(q) - 8*z(q)?\nAnswer: q**2 + 199*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 15673*g - 5393. What is the units digit of m(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -19\/3*i**3 - 63*i + 0*i**2 + 0 + 0*i**4 + 1\/4*i**5. What is the second derivative of v(m) wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 72677\/85 - 855. Let c = d + 81\/170. Let m = -1 + 2. Is m <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -198\/13 (b) 7086 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*((t\/(t\/(t\/t**(-2\/45))*t))\/t*t)\/t))**(-2)*t**37*(t**(-16)*t)\/t assuming t is positive.\nAnswer: t**(859\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 485, 970, 1455, 1940, 2425, 2910?\n\"Answer: 485*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 362 - 357. What is the second biggest value in 4, 1\/150, i, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/135 - 96\/(-72)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 527 - 123. Let g = n - 648\/5. Factor 4*z**3 + 2*z**4 + 2\/5*z**5 + 4*z**2 + 2*z + g.\nAnswer: 2*(z + 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-6)\/(-120)*-10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23800\/(-448) + 53 - (-4 + (-693)\/(-24))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u + 16. Suppose 0 = -4*p - 3*p + 28. Let n be g(p). Let q(b) = n + 3 - b - 3 - 16. What is q(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**3 - 3*h**3 + 12*h**3 + h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:30 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-30))\/(10\/15)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-7) - (3 - 1). Let n = 0.14 - -7.86. Let f = 8.5 - n. What is the closest to 0.1 in 1, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1069 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 568, 4247, 14168, 33445, 65192, 112523, 178552, 266393?\n\"Answer: 519*r**3 + 7*r**2 + 25*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(3\/2)*a**(2\/3))\/(a**(1\/3)\/a)**(-4\/7)*a\/((a**7\/a)\/a)*a**(1\/2)*(a\/(a*a\/(a*a\/((a\/(a**(-4)*a))\/a))))\/(a*a**(-2\/11)) assuming a is positive.\nAnswer: a**(-503\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/105)\/((-224)\/(-280))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.9 + -3.804. Which is the third smallest value? (a) x (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -1\/6*u**3 + 0 - 7*u**2 + 44*u. What is the remainder when 49 is divided by b(-31)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -36, 0.5, -3, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4205 is divided by 599.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 49 - 30)*(-y + 4*y - 4*y) + 510*y - 1000*y + 503*y + (2 - 5 + 1)*(1 + y - 1).\nAnswer: -50*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1341 and -796.\nAnswer: -106.7436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjjtjjtiioj. Give prob of sequence jj.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564 = -26731*w + 26730*w. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-6)\/(36\/6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13718498 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**3 + 1524*x**2 + 145920*x + 144400 = 0.\nAnswer: -190, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1699 - 5150\/3. What is the common denominator of -109\/6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9672214.\nAnswer: 2, 4836107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o = 5*t + 22, 23*o - 26*o - 6 = 2*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 598.81?\nAnswer: 598.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ese when three letters picked without replacement from eseeeeeeeeeeeeeeee?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y**2 + 321*y + 269. What is d(-57)?\nAnswer: -1783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6655)*1 + sqrt(6655) + sqrt(6655))\/(sqrt(88)\/sqrt(200)).\nAnswer: 165*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -128496?\nAnswer: 7\/128496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {m: 3, j: 5, q: 6, l: 2, z: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*o - 2*h + 222, -o - 2*h + 63 = 0. What is the remainder when o is divided by (-28)\/(-644) + 2340\/138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 3149, 11425, 27537, 54095, 93709, 148989, 222545?\nAnswer: 316987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1685, -6720, -15117, -26882, -42021?\n\"Answer: -m**3 - 1675*m**2 - 3*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31983, 63963, 95943?\n\"Answer: 31980*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*r - 4*u, 0 = -7*u + 6*u + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2*k - 7 + (-1 + 2 - 3)*(8 - k - 8) - 6*k + 2*k + 3*k - 128*k + 205*k - 8 + 199*k + 8 in the form h + u*k and give u.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*b + 137. Let t(s) = 4*s**2 - 4*s + 3. Calculate the remainder when b is divided by t(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2258720 and 608.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-16))\/(3\/(-8))*273\/(-2366).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -411 - -1983. List the prime factors of h.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-28)\/4032)\/((-66)\/88). Suppose 2*l = l. Is l != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (2 - 1)) + (48 - -1) + 3240 + -3207\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f - 2*b, -5*f + 1 = -2*b - 3. Let d = 10 - -6. Let y(j) = j**3 - 16*j**2 + j - 12. Let i be y(d). Solve n - i*n = f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2558*f**2. Let b(t) be the first derivative of 5*t**2\/2 - 6421. Give d(b(p)).\nAnswer: -63950*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 43*i**2 + 270*i + 227. Calculate c(9).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -469600?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5 + 6*x**4 - 16*x**3 - 24*x**2 + 32*x = 0.\nAnswer: -4, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*8\/4*2\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -793 - 7248 = -172*a - 13086 - 11467 for a.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 32*x**2 + 66*x + 72. Let r be b(-34). Are -2\/7 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/786120 and 41\/943344?\nAnswer: 4716720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/9))**21*k**(-4\/7)\/k*k**(-8)*k)**(-43\/2) assuming k is positive.\nAnswer: k**(5977\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -3, 13\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228854 = 3617*b - 3600*b. What are the prime factors of b?\nAnswer: 2, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(5*p + 0 - 4*p - 2)*(201 - 79 + 96).\nAnswer: 436*p - 872","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2211638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 48?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 517 + 4*x**3 - 1040 + 25*x**2 - 21*x + 524 + 40*x**2 - 7*x**3 wrt x?\nAnswer: -18*x + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 196*z**2 + 99*z**2 - 27*z**2 + (z + 0*z + 0*z)*(11*z + z - 5*z) to c*z**2 + k + l*z and give c.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjmbh. Give prob of picking 1 b and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46981 by -2.\nAnswer: -46981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18022, 36032, 54038, 72046, 90062, 108092?\nAnswer: 126142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 4*s**2 - 3*s + 8. Let v be x(4). Round v to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3\/w**(2\/17)*(w*w*w\/((w\/(w**(2\/3)*w))\/w))**(-7\/3)*((w*w**(-2\/15))\/w**(4\/9))\/((w\/w**(-1))\/(w\/(w*w\/w**5*w))) assuming w is positive.\nAnswer: w**(-1679\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -857356, -857337, -857316, -857293?\n\"Answer: u**2 + 16*u - 857373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -25*z**2 - 20*z. Let n(r) = r**2 - 2*r + 3. Let x(i) = i - 1. Let m(w) = -n(w) - 3*x(w). Suppose 17*k = 63 + 277. Determine k*m(p) - o(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0141 - 0.01410077. What is b rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 3 = 17. Suppose c = q - 0. Suppose 0 = -q*w + 15 + 15. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 71*n + 115. Let l be ((-70)\/(-75)*-3)\/(8\/(-20)). What is the tens digit of d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/8, 0.2, 3, 2\/15, -1\/159, -6, 0.03?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 9765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 525118 and 196?\nAnswer: 51461564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = -2*l + 202. Let c = 555 - 553. Suppose 0 = -2*x - 3*t + 17, 3*t - 4 = 5*x - 15. Put c, l, x in decreasing order.\nAnswer: x, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -965*d - 1948*d + 801*d to b*d + a and give b.\nAnswer: -2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2092\/7 + 4303\/14. What is the closest to -0.2 in 0.4, t, 17, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by 16.\nAnswer: -75\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0*z**6 + 0 - z**2 + 0*z - 1\/20*z**5 + 1\/112*z**8 + 0*z**7 + 0*z**3 + 0*z**4. What is the third derivative of b(s) wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 1056 = -76*k - 23*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-162)\/(-10) - (1\/5)\/1. Let i(p) = p**3 - 18*p**2 + 38*p - 76. Let r be i(z). Solve 0 = 5*w + 5*m - r, -w + 3*m = 2*w - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2431 - 1.0203\nAnswer: -2432.0203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/102*(-7497)\/98)\/((-2)\/(-4))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7 = -2. What is the tens digit of c*1\/(1 - 380\/382)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bc - 0?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -799 - -385. Let r = -414.237 - g. Let h = r - -0.2253. Round h to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.7, -0.64, 5 in descending order.\nAnswer: 6.7, 5, -0.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 17*b - 21. Let y(g) = 8*g - 10. Calculate -6*x(v) + 13*y(v).\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 390851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5346 + 11178. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/1975 and 49\/79.\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 256?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 144\/192 - 7\/4. Let q(m) = m**2. Let x(p) = 2*p**2 - 3. Let v(y) = -2*y**2 + 3. Let j(z) = -5*v(z) - 4*x(z). Determine u*q(s) + j(s).\nAnswer: s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7816347 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-191)\/(-7) + (263 - 290))*(-2030)\/(-5).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4432 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, v: 7}. Give prob of picking 1 v and 1 z.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 573\/6 - (-2)\/4. Suppose 0*y + o = 4*y. Calculate the remainder when y is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = t + j, -2*j + 306 = 5*t + 43. Let v = t - 36. Let f be 1*1\/(-3)*-9. Solve 0*p - v = f*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17\/3 (b) 4 (c) 812 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 8 + (-7 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + 3.95. Let u be (1 - -1)*(-3)\/57. Let s = -0.26413 + -0.13587. Which is the smallest value? (a) s (b) x (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 1. Let x(z) = z**4 - z**3 - 1. Let b = 0 - 2. Let g = -776 - -778. Let l(a) = b*x(a) + g*p(a). Factor l(m).\nAnswer: -2*m**2*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52243 (base 15) to base 11\nAnswer: -1686a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnewwnnewqnwpwwwepn. What is prob of picking 1 p and 1 w?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 189333404 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -6400?\nAnswer: 6366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 80360 (base 9) in base 7?\nAnswer: 306615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 218.9 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52200 + 74587. Let h = z - 8587. What is h rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134245207.\nAnswer: 23, 49315009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, 0.3, -140\/39, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*k - 5*q, q = 5*k + 6*q - 10. Find the common denominator of -111\/10 and -34*(-3)\/(-27) + k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c + 4. Let x(q) = -11*q - 7. Let k(f) = -9*j(f) - 4*x(f). Let n be k(-10). Solve o + z - 2 - n = 0, -3*o + 12 = -z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218829723 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 266, 1072, 2438, 4364, 6850, 9896?\n\"Answer: 280*u**2 - 34*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) -1 (c) -0.1 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -203446188*b**3*t**2 + 19624*b**2*t**2 - 1636*b**2*t - 2*b*t wrt b?\nAnswer: -1220677128*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 7:15 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 5695?\nAnswer: 32\/5695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1 (b) -36\/5 (c) -53 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 10. Let n be a(-3). Suppose n*b = -3*u + 1571, -2*b - u = -0*u - 787. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2548404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -719, -718, -717, -716?\n\"Answer: z - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36240 = 2*n - 6*n. What is n rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 10*m**2 + 2*m + 101. Let d be x(-9). Sort -19, -3, d, -9 in decreasing order.\nAnswer: d, -3, -9, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36416?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:37 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 2 + -3 + 0. Suppose 0 = -p - 5*x + 74, p + 4*p - 349 = -k*x. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 46 + 14 = i, 3*i - 2*p + 68 = 0. Let l = 0 - i. Suppose 0*a + l = a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(-23)*(g**(1\/2))**(-7\/8))\/((g**0)**(-12)\/(g**(1\/8)*g**0\/g)) assuming g is positive.\nAnswer: g**(-21\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 368 and 567840?\nAnswer: 13060320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 7505*v + 7503*v + 138 = -0*z, 2*z + 28*v = 7*v + 136 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6273808022?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50139, -50134, -50119, -50088, -50035, -49954, -49839?\n\"Answer: s**3 - s**2 + s - 50140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*u - 2 = 0, 3*n - 4*u - 10 = 10. What is the smallest common multiple of n and -2 - (-8 + 0)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 2, i: 8, y: 2, v: 6, p: 1}. Give prob of sequence ivpy.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 5*j**2 + 11*j**2 - 546 + 3*j**3 - 1321.\nAnswer: 3*j**3 + 2*j**2 - 1867","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.7 - 13. Let t = 0.3 + v. Which is the closest to t? (a) 3 (b) -5 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 29\/2 of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -28390 + 3234. Suppose -84*k + 65*k = -f. What are the prime factors of k?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - (-22 + 55 + -17)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 499665761 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 425\/12, 2853, -3\/2, 2\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-102)\/34*(-2)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1212)\/(-66))\/((-1806)\/(-9933))\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 888 = 2622. What are the prime factors of m?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 0 = 3*u. Suppose -2*o = -n + 4 - 34, -u*n = -5*o + 70. Calculate the greatest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 19 = -2659. Suppose -2*s - f = -4*b - 136, -3*s = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 5. Suppose -k = -l - 0*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z + 54*z + 98 = -91*z. Is z <= -1\/890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.5 plus -11469?\nAnswer: -11456.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179408.52 months to millennia.\nAnswer: 14.95071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 48*i - 229. Let h be s(53). Solve h = -4*a + 44 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/5, 7\/4, -23.7.\nAnswer: -23.7, 7\/4, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -323007.94 + 0.032671?\nAnswer: -323007.907329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 38. Let u(c) = -c + 41. Let m(t) = -6*n(t) - 4*u(t). Let z(p) = 6*p**2. Give z(m(i)).\nAnswer: 24*i**2 - 1536*i + 24576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 12*u - 27. Let a(y) = -y**2 - 3*y - 5. Let i be a(-5). Let q be t(i). Let c = -110 - q. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/12*(-204)\/(-153). Which is smaller: f or -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 2*p**3 - p**3)*(-117940 - 213*p**2 + 117940).\nAnswer: 426*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5262*g**3 - 5283*g**3 - 5276*g**3 + 15795*g**3.\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 22*m**2 + 6*m**2 - 45*m**2 + 2 - 3*m**2 - m**3. Calculate j(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1088, -1766, -2874, -4412, -6380, -8778, -11606?\n\"Answer: -215*n**2 - 33*n - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -38\/207 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/45 + (-19420)\/(-6). Let v = o - 1180. Suppose 0*d - v = -8*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + 138437*x - 138437*x + 3*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) 4 (b) 1767 (c) 42.94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2370, 4741, 7114, 9489, 11866, 14245?\n\"Answer: u**2 + 2368*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/1)\/(1\/(-3)). Suppose l - 1 = r. Let 8\/3*i**5 + 0*i**2 - 10\/3*i**l + 0 + 0*i + 2\/3*i**3 = 0. Calculate i.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veevvvzegeve. What is prob of picking 2 v and 1 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -75160 less than -75898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*k = -40*k + 18. Let q be 162\/(-8)*k\/9*-2. Let u = q + 47. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 6828330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 1)*(x**2 + 2*x**2 - 5*x**2)*((-2*x - x + 4*x)*(x - 5 + 5) + x**2 - 4*x**2 + 4*x**2 - x**2 + 2*x**2 - 4*x**2).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4*1\/6)\/(3\/(-9)). Let r(w) be the first derivative of -1\/9*w**3 + 0*w - z + 1\/6*w**2. Suppose r(n) = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35878\/3 + -11960. What is the second smallest value in 0, -10.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 31. Let a(b) = -2*b - 4. Calculate the lowest common multiple of (p\/20)\/(4\/(-50)) and a(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(1\/(-4))\/(5\/10). Suppose 2*v = 10, -3*i + 2*i + 5*v - 18 = q. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 286 and 21230?\nAnswer: 275990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from {p: 2, z: 2, x: 1, l: 3, t: 3, m: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.036974688*-0.4\nAnswer: -0.0147898752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406771 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -44. Let n be (-24)\/(-4)*(5 - 1). What is the greatest common divisor of n and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91325 is divided by 187.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irr when three letters picked without replacement from {r: 6, h: 9, i: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -228.9074 to 1 dp.\nAnswer: -228.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(175) + (3*-2*sqrt(175) - sqrt(175))) - 1*(-2*sqrt(448) + -5)) + 2.\nAnswer: -104*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from vliiliivilivivlvlki.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppppnppppppnpppppp.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, y: 1, d: 5, g: 1, m: 5}. What is prob of picking 1 a and 2 m?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**2 - 2870*c + 11674. What is w(4)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = -5*v. Suppose -1 = -r - c, -v*c = -5*r - 2*c + 11. Let q be -1*r + -5 + -46. Round q to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -169 + 258. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26690622 and 21539.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 1. Suppose 4*a + 5*y = -47, 5*a + 2 = 4*a + 2*y. Let g = a - -10. Let n(c) = -c - 2. Determine g*n(v) - 3*l(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3)*1 + -4)*-1 + ((sqrt(24)*-2 + sqrt(24))*-4)\/(sqrt(8) + (sqrt(648) - sqrt(648)*2)).\nAnswer: -24 + 11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 592*a**2 + 12*a. Let y(u) = -u**3 + 590*u**2 - 10*u. Calculate -5*h(w) - 6*y(w).\nAnswer: w**3 - 580*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191 by 123311.\nAnswer: 191\/123311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + (sqrt(972) + -3 + -2 - sqrt(972))))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.65557954 - -0.04\nAnswer: -1.61557954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*k - 4 = 0, 0*l + 3*l = 2*k + 14. Suppose l*n = -6*n + 1080. What is the greatest common divisor of n and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204077846 a multiple of 2090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -301 (base 4) in base 8?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -3*n + 0 + 40*n**2 + 5\/12*n**4 + 20\/3*n**3. Factor r(y).\nAnswer: 5*(y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = f - 9, -w - 10 + 1 = -5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 20 - 2. What is the units digit of 9\/(-6)*(-66)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.8 - 2. Let i = -23 + m. Sort i, -4\/13, 0 in decreasing order.\nAnswer: 0, i, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 0 + (13 - 21) + 9. Let r = 1.95 + 0.05. Let h = 5 - 7. Which is the closest to r? (a) h (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*u + 280 = 0, -2*q + 2*u + 1885 = 1745. Sort -4, 8, -5, q in ascending order.\nAnswer: -5, -4, 8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -49, 3, 1.\nAnswer: -49, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8171.479 millilitres?\nAnswer: 8.171479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -p + 5*n, 3*p + 94 = 2*n - 7*n. Let v be 15\/p + 12\/42. What is the nearest to -0.2 in -0.4, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*o + 10*o + 8*o - 3 - 6*o**2 to the form n*o + p*o**2 + b and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7448780*b**3 - 1345712*b.\nAnswer: 44692680*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 2 + 2 - -42. Suppose -44 = -3*d + j. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 122\/12 - 6\/36. Let q = 13 - h. Solve 1 + 16 = -2*x + q*t, -x + 24 = 5*t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 29.7. Is o at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7238314?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(130)\/(sqrt(10)*1) + (sqrt(13)*2 + -3)**2 + -1.\nAnswer: -11*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7612 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2. Let u = 81 + -71. Let c(t) = 2*t - 14*t - u*t + 2*t. Calculate c(z(n)).\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3747 = 495*d - 1351*d - 3101 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4942129 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -0.0096.\nAnswer: -2.0096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -146701089066 - -0.5?\nAnswer: -146701089065.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 1098, 2407, 4230, 6573?\nAnswer: 9442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-567)\/(-648)*(-6)\/7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 0 - 6\/6. Let f(c) = -c**2 - 6*c + 4. Let o be f(-6). Solve o*g = u*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from oooomoomoooooooomm?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.4, -5, -47\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 12*v + 3*x + 31 = 0, 3*v - 4*x = 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 2, 27, 68?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.472 - -0.49. Let r = m - 0.118. Which is the second biggest value? (a) 5 (b) 15 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/(1\/(-12)). Suppose -r*m - 12 = -2*m. Let v = m + 10. Solve 2*y + a = 7*y + 9, -v = 3*y + a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 6*m**4 + 2 - 3*m - 2*m**4 - 7*m**4 to t*m + h*m**3 + j*m**4 + x*m**2 + p and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2078 + b290?\nAnswer: 11348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/4 + 113775*u\/4.\nAnswer: 3*u*(u + 37925)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 (base 9) in base 5?\nAnswer: -1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 - 6*f**2 + 51*f**2)*(-6*f + 13*f + 9*f).\nAnswer: 672*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(-3)\/u)*u**(-1\/4))**9 assuming u is positive.\nAnswer: u**(207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.77 - 6.37. Put -3, 2\/9, -0.4, r in ascending order.\nAnswer: -3, -0.4, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1600\/(-12))\/((-6)\/34245). What is s rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 58*w**2. Let y(a) = -13*a + 9. Let d(z) = -3*z + 2. Let c(q) = -2*q**2 + 3*q. Let k be c(3). Let r(g) = k*d(g) + 2*y(g). Determine r(h(f)).\nAnswer: 58*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + (230 - 92) + -67?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1890.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -121, -222, -363, -544, -765?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -662\/5 + 132. Suppose 2*o = -o. Suppose o*t = -t. Which is bigger: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -117 and 196.651?\nAnswer: -23008.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/36 + (-7743)\/1566)\/((-1)\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l. Let f(k) = -3*k. Determine 17*f(r) + 6*x(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 0.3, 3, 356?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 5:28 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -4\/7 (c) -1\/34 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from aaww.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 9 = -x, -4*g - g + 5*x + 15 = 0. Is g\/9*(-4572)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65 and 0.19?\nAnswer: 12.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*(sqrt(882) + 1 + 3)**2*-3*4.\nAnswer: -32328 - 6048*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 182 + -175. Let c be (-3 - 8\/(-4))*-1. Calculate the least common multiple of 3 - (14\/b - 3\/c) and 35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*r + 2256 = 0, 4*r = 2*n - 0*r - 1104. Calculate the highest common divisor of n and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 66*b**2 - 38*b + 6. Determine m(5).\nAnswer: 1466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-89597.\nAnswer: -268791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 1 - s + s. Let k(a) = -8*a + 5. Suppose -4*z = p + 5 - 25, -2*p = 8. Suppose 4*g = -5*m + 21, -2*g = -z*g + 4*m - 24. Determine g*k(o) + 6*x(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5578, -11648, -17718, -23788, -29858, -35928?\nAnswer: -41998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.2, 13, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*k - 12, -6*k = -3*k - 4*m - 9. Suppose 220009 = -4*c - k*i, 0 = -c - 2*i - 32082 - 22924. Round c to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/38643921 or 1?\nAnswer: -5\/38643921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-3\/4)*a*a**(-1\/3)\/a*a*(a*a**1)\/a**0 assuming a is positive.\nAnswer: a**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1377*o - 18019. Calculate f(-13).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v - 3. Let y(r) = -7*r + 2. Calculate 3*b(n) + 2*y(n).\nAnswer: 19*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 - 57?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 16*d + 35. Calculate s(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239\/(-1680) + (1 - 0) + 21\/(-105)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, a: 3, p: 1, n: 5}. Give prob of picking 2 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -342 divided by 9.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 14*t = -10*t + 23, 0 = -2*p + t - 10. Let w(b) = b**2 + 8*b + 12. Calculate w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 15) to base 16\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-4 + 0 - -4) - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9203 - -3?\nAnswer: 9206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/177 or 0?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 4*k + 53. Suppose 143 = -30*c - 22 - 135. What is b(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l - 10. Let n be t(6). Calculate the highest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**5 - 5*h**4*x - 2*h**3*x + h**2 + 245*h*x wrt h.\nAnswer: 60*h**2 - 120*h*x - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 = 7. Which is bigger: -1\/13 or s?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(-2*-2*sqrt(304) + 1)*2*-4)**2.\nAnswer: 2048*sqrt(19) + 311355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 58.42048l?\nAnswer: 58420.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**4\/2 + k**3 - 2*k - 30. Determine p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.82, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - -6. What is the greatest common factor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112584843 by -5361183.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6357 = -4*c + o, -1556 - 22 = -c - 2*o. Suppose -c = -y + 4*h - 5*h, 12 = -4*h. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4305*-0.29.\nAnswer: -1248.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 192 - 177. Suppose -2*q + 2*o - 2 = 4, -5*q = -2*o + x. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*w + 262*k - 261*k, -8 = 4*w - k. Which is the biggest value? (a) -2\/5 (b) w (c) -248\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 749311652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -4 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 28401*s + 28404.\nAnswer: -3*(s - 1)*(s + 9468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (17 - 22 - -12) + (2 - (-3 - -4)). Let v(o) = o**3 - 9*o**2 + 6*o + 17. What is v(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 234.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 - 7 = 4*w. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**2 - 4*z - 3. Let s(j) = 6*j**2 + 5*j + 4. Let g(n) = -2*s(n) - 3*t(n). Let a be g(-2). Solve -11 - a = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -195 + 1070. What is the highest common factor of s and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 421022 and 60634.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 55330 = -2*b, 0 = b - 46*u + 42*u - 27653. What are the prime factors of b?\nAnswer: 139, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -942.62, -0.2, -0.1, 5\/6, -3 in decreasing order.\nAnswer: 5\/6, -0.1, -0.2, -3, -942.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10*o = -4*o. Let v(n) be the third derivative of 5*n**2 + 7\/60*n**5 + o*n**3 + 1\/8*n**4 + 0 + 0*n. Find the second derivative of v(g) wrt g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*v + 11 = -5, -4 = -5*b - v. Let s(n) = 4*n + 36. Let h be s(b). Suppose 2*q + 2*x = -0*q + 30, 2*q - x - h = 0. Is q != 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-6))\/(6 + 92\/(-15)). Suppose 0 = t - u - 1 - 19, -4*u + m = t. Solve -5*b - 5*v - 42 = -t, -3*b + v = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, h: 2}. Give prob of sequence qh.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*z**3 + 12*z**3 + 22*z**3 + 5*z**3 - 5*z**3 - 2*z**3 + (3*z + 0*z - 4*z)*(-z**2 - 2 + 2).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67775458214986 + -50153824986632027\/740. Let m = 19043866 - b. Let j = -104\/37 + m. Find the common denominator of 83\/22 and j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(2) - (sqrt(8) + 2 + sqrt(2))) + (sqrt(288) - sqrt(18)))*-4 + ((sqrt(242) - sqrt(242)*2*-5) + sqrt(242) - (sqrt(242) + -4*sqrt(242)*-1)))**2.\nAnswer: -5040*sqrt(2) + 9538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18905116 is divided by 2363136?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 2*t**2 - 4*t**2 + (3*t - 2*t + 2*t)*(3*t + 0*t - 5*t))*(-12*t**2 + 4*t**2 + 10*t**2)*(-t + 3*t - t).\nAnswer: -18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270344324.\nAnswer: 2, 41, 1648441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*q + 44 - 8 = 0, 0 = -2*q - 8. Let u = -2 - j. Suppose 0 = p + 4*p - 15. Solve u*s = s + p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75*s**4 + 68058*s + 3846972?\nAnswer: -300*s**3 + 68058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u. Let o(g) = u*g - 4 + 8*g + g**2 - 3*g. Is o(-8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 + -6)\/(-14)*3. Solve -2*f - 11 = 5*q - 6*q, -5*f + w*q = 29 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50976*r**3 - 68*r**2 + 39405*r + 176 wrt r.\nAnswer: -305856*r - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 3 - 4*l**3 + 17*l**3 - 2*l**3 - 7*l**3.\nAnswer: 6*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (12 - (8 + -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 19*o**2 - 16*o - o**3 + 10*o.\nAnswer: -o**3 + 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(8) - (2 + sqrt(8) + -1)) + (sqrt(200) + -1 - sqrt(8)))*5 + 0))**2.\nAnswer: -12800*sqrt(2) + 52800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 79. Let g be p(0). Suppose g - 3 = 2*f. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*x - 903 = 0, 0*j + 3*j = -5*x + 669. Suppose 18*w - 110 - 106 = 0. Calculate the highest common divisor of w and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x**5\/4 + 6275417*x**4\/4 + 330285*x**3\/2 = 0.\nAnswer: -330285, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 - x**4 + 2*x**4 + 5*x**4 + 3*x**3 - 3*x**3 + (-x**2 + 4*x**2 - 9*x**2)*(-7*x**2 + 3*x**2 - 7*x**2).\nAnswer: 69*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38268 - 75*a**3 - 38268 + 54*a**3.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 j when four letters picked without replacement from qqjtjjjqjjtjqq?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/5, -0.5, 4\/5, -5.\nAnswer: -5, -0.5, 4\/5, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 237*u + 4. Let k(t) = 50*t + 1. Let f(a) = 4*k(a) - s(a). Let z(j) = -2. Let r(q) = q**2 - 3. Let l(m) = -2*r(m) + 3*z(m). Determine l(f(o)).\nAnswer: -2738*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190272?\nAnswer: 2, 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13.55, 1\/24, -1, 0.18?\nAnswer: 13.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - -24 - (-3 + 4 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169796 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*q**3 - 677*q**3 - 454*q**3 + 2218 wrt q.\nAnswer: -3582*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 94*j + 62. Let y be n(4). Round y to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000012606 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -33\/14*b**3 + 1\/28*b**4 + 48\/7*b**2 - 45 + 3*b. Find p such that s(p) = 0.\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/511 - 15901\/10220. Find the common denominator of (-4)\/22 + (-1497)\/1386 + 1 and x.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78985 - 461351387\/5841. Let a be 1 + (1629591\/140184)\/(-1). Let z = a + s. Calculate the common denominator of 65\/8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 + 38)\/(9\/(23760\/16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**2 - b**3 - 5913*b + 21*b**2 + 19 + 5896*b + 0*b**3. Let j be c(16). Suppose -j*t - 64 = t. Which is smaller: t or -13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*t**4*y + 3*t**4 + 84682*t**3*y - 3*t**2*y + 211026*t*y wrt t?\nAnswer: 240*t*y + 72*t + 508092*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o**2 + 35*o**2 - 11*o**2 - 13*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357816269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26.4 and 20.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 2127752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/88 and 101\/3260.\nAnswer: 71720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5388 is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*w, -3*w + o + 1 = -3. Suppose w*n + 3 - 5 = 0. Find the first derivative of 2*x**2 - n - x**2 - 1 wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1226.6696 - 1222.2. Round m to one dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2095 = d - 3575. Suppose -21*v - 1701 = -d. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 72 = -z. Suppose -3*w = 57 + 69. Let h = 60 + w. What is the highest common factor of z and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-18))\/((-2)\/234) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -2*c - 2*j - 3*j, -53 = -c + 5*j. Suppose 23 = d + 5*g, c = -5*d - 5*g + 198. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 2308.\nAnswer: 6924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.26 + 0.74. Let t = 36 - 36. Which is the smallest value? (a) -2\/15 (b) -0.2 (c) t (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10200 + -1?\nAnswer: -10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**4\/8 + 2*w**3\/3 + 25*w**2. What is t(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15306697 less than or equal to 15306691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 240, 101\/3, 7\/2?\nAnswer: 101\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*-4*10\/(-20). Let k be (38\/8 - 4)*i. What are the prime factors of (k - 3)\/1*13?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 6*w**2 - 2*w - 2. Let b be r(6). Let s be (-4)\/14 - b\/49. Solve -2*u + 0*u - 8 = s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5301, -21226, -47777, -84954, -132757, -191186, -260241?\nAnswer: -339922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 14*o + 17. Let y be k(15). Suppose 2*u + 6 = -2*a - 0, y*a + 6 = 2*u. Let l be (-2*2\/(-11))\/1. Which is greater: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h - 3 = 0. Suppose -1 = 5*p + m + 7, 4*m - 6 = -p. Let l be (3\/p)\/((-12)\/32). Solve -5 = -h*v + l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30\/19, 2\/15, 2\/11?\nAnswer: 30\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20201 (base 5) to base 7.\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 5. Let q(v) = v + 5. What is q(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2*(180\/600)\/(27\/(-5))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -711495 by 5.\nAnswer: -142299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1832 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*m**5 - 56375*m**3 + 3*m**2 - m + 3676.\nAnswer: 2040*m**2 - 338250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4)*(392\/(-126) - -4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23284 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 24 = -3*f. Let x(j) = -15*j - 3. Let l be x(-2). What is the remainder when 35 is divided by f\/(-3)*l\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 1062488?\nAnswer: 12749856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39\/86 + -2\/43. Let s = -5 + -1. Let l = s + 7. Which is the second biggest value? (a) l (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*n*y**2 - 343*n + 645*y**2 - 3 wrt y.\nAnswer: 34*n*y + 1290*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**2 - 1439630*a + 479876.\nAnswer: 2*(a - 239938)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 + 439*u**2 + 35249*u + 269. Calculate f(282).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 1 = -25 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -20508?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3\/2, -2\/43, 2, -1?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/77331 and 44\/27.\nAnswer: 695979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 2*g**3 - 3*g**2)*(11*g + 18*g + 11*g).\nAnswer: 80*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.069, 2, 0.2 in ascending order.\nAnswer: 0.069, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = 15 - 75. Let w(m) be the second derivative of 0 - 4\/7*m**2 - 1\/42*m**t + 7*m + 4\/21*m**3. Solve w(q) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 98*c - 662. Let q be b(7). Solve 3*s - 2*y + 6*y - 19 = 0, -5*s + y + q = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 6:44 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 9) to base 8.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 1 - (35 + -11 - 20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92389222637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*p + 20*p + 4594 = -430 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2454, 2730, 3184, 3816?\nAnswer: 4626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14 + (-50)\/5 - -30962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35e370 (base 15) to base 2\nAnswer: 1001110101101101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 304*g**5 - 93*g**4*t - 2*g**3*t + 1297*g**2 - 2*g*t + 21*t wrt g?\nAnswer: 18240*g**2 - 2232*g*t - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - -8) + (-19789084)\/7. What is g rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -45, -12, -19, 4 in descending order.\nAnswer: 4, 3, -2, -12, -19, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1539040 at most -4617118\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 25*h - 9. Let x be m(-13). Suppose x*r - 7 = 13. Suppose r*f - 52 - 23 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 4*r + 17 - 168*r**2 + 5 + 30*r**2 - 6*r wrt r.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 13*r - 5*b = -1946, -b + 1962 = 2*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + 52*y + 179. Give m(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a - 4. Suppose 4*y = -o + 6*o - 43, y - 33 = -a*o. Calculate the remainder when (19\/3)\/(1\/3) is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3266*j + 1905*j = -2006*j - 1471 - 1109 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*c**4 + 11*c**4 - 9*c**4 - 1 - c**4 + 1 + (c**3 - 3*c + 3*c)*(0*c + 3*c - c) + 5*c**4 - 9*c**4 - 9*c**4.\nAnswer: -34*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2 - 8 - 11 - 3*f + 25. Let n = 0 - -3. Let s(t) = t**4 - t + 1. Let d(m) = n*s(m) - v(m). What is the first derivative of d(g) wrt g?\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 3*b**2 - 2*b + 9. Let f be n(-3). Suppose 0 = -5*y + 2*y - f. Is 4909\/1*4\/((-20)\/y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914731190 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1. Let o(v) = -3 - 3 - 2*v + 4. Let g(u) = -u - 24. Let z be g(-25). Calculate z*o(c) - 2*q(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71219 and 933?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*q = 2*j + 295*q + 1, 0 = -6*j - 2*q + 42 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = l - 8, -s - 7 = -2*l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 10) in base 14?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, -0.5, 67?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -33*o - 7*o**2 + 6*o**2 + 12 + 3*o**2 - 26*o. Is 15 a factor of t(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3394*u**3 - u**2 + 12*u**2 - 11*u**2.\nAnswer: 3394*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 31.9 (b) -1 (c) -0.5 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 4*g + 4. Let p(w) = -5 + w**2 - 5*w + 4*w + w**2 + 6*w. Let n(t) = -5*a(t) - 4*p(t). Let z(r) = -2*r**2. What is z(n(s))?\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(275)*2 - sqrt(275)) + sqrt(275) + -3)*6 - (sqrt(275) + 1 + 5)*-4)**2*-6.\nAnswer: -2535696 - 34560*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/5)\/a*a**(1\/11)*a)**(2\/9) assuming a is positive.\nAnswer: a**(98\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 3)\/(0 - -1). Suppose -2*b = -1 - 3. Find the second derivative of -j + 1 - 5*x - 3*x**2 + b*x wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6793879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -377 take away -3?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 3. Suppose 0 = 5*g - 4 - d. Sort g, 4, -0.3.\nAnswer: -0.3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 302*b + 19426. What is s(-210)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t**3 - 44*t**3 + 16*t**3 + 16*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/140 - (-186)\/868.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 10*w**2 + 18*w + 10. Let t be q(-7). Suppose -5*a + 4*n = -t, -n - 6 = -2. Let g = -4828\/23 - -210. Sort 0.2, g, a in decreasing order.\nAnswer: a, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3*d = -1, k + 384*d = 388*d + 3 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*n + 5*x, 3*x - x = n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18222677807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzpz when four letters picked without replacement from zzpzzzzzzpzzzzzzzzz?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -421.\nAnswer: 2\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*h = 167*h - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from zzozzzojzzjozzz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 45. Let u(f) = f**2 - 15*f + 14. What is the remainder when 69 is divided by u(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -307*x + 2464. Determine y(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 3*z + 2*z + (2*z - 4*z + 0*z)*(-1 + 0 + 0) + 0*z + 0*z - z + 0 + z + 0 - 42*z + 7*z - 6*z + 1.\nAnswer: -38*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 423 and 1269?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16, 21, 1, -4, 2\/9 in descending order.\nAnswer: 21, 16, 1, 2\/9, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 2714041?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/12 and 0\/(-2) + (-399)\/518.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 345?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250727*c = -251317*c - 23010 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1ed19 (base 16) to base 4\nAnswer: 132310121","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5 - 77. Suppose -2*p = -4*p + z. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/3 - 11164*m**4\/3 + 31547014*m**3\/3 - 722478260*m**2 + 12564093675*m.\nAnswer: m*(m - 5547)**2*(m - 35)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - x = 62, -3*x + 124 = -u + 5*u. Suppose -2*k = 10 + 26. Let q = k + u. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -392662.9 rounded to the nearest one hundred?\nAnswer: -392700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263.1032 + 3.\nAnswer: 266.1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 + 355. Suppose -2*n - g = -3*q, -381 = 5*n - 3*q + 273. Let r = n - -364. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e (base 16) to base 11.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**4 + 723*r**3\/5 - 1545156*r**2\/5 + 33577788*r + 6727920 = 0.\nAnswer: -388, -1\/5, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 1:35 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31941 = -1084*j - 17787 + 33542 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-6)*6\/5. Let m be 18*(s\/(-4) + 6\/4). Let o(p) = p + 6. Let q be o(-4). Solve 0 = -q*r + m - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1568)*1 + -2 + -5).\nAnswer: -140*sqrt(2) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -126 and -91614.\nAnswer: 11543364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-470)\/2585)\/(30\/(-22))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15583575, -62334317, -140252219, -249337281, -389589503?\n\"Answer: -15583580*o**2 - 2*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 39*w**2 - 6*w - 14. Let h be l(-7). Suppose -k - 4*d + h = 4*k, 5*d - 1935 = -5*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 11*l**5\/15 + l**4\/6 + l**3\/3 + 17*l**2. Is 21 a factor of y(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from tsstst?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(11)*2*-5)**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i - 2*i + 0*i)*(1557508 - 1557508 + 3859*i**3) in the form g*i + o*i**2 + t*i**4 + b + y*i**3 and give t.\nAnswer: 15436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -80, -171, -278, -407, -564, -755, -986, -1263?\n\"Answer: -a**3 - 2*a**2 - 78*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.063 - -7.763. Let q = y + -8. Let x = q - -1.3. Which is the third biggest value? (a) -4 (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6988*d + 89975. Determine w(13).\nAnswer: -869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (138\/9*3)\/((-9)\/(27\/(-6))). Solve r + 16 = 3*g, 3*g + 21*r - 20 = h*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62*((-154)\/198*9\/2)\/7?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-272 - 53*t + 272)*(2 + 5 + 1).\nAnswer: -424*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329948 is divided by 640?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: 0 times 26211\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-8))\/(6\/920). Let f = 200 + b. Let d = 3\/29 + -41\/116. Is f less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2\/9 + 1984912*u\/3 - 184600660\/9 = 0. What is u?\nAnswer: -1488715, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 5 (b) 1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 3*w - 5*x + 25, 2*x = 2*w + 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 2*v + 11, 0 = -5*w + 48*v - 43*v + 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from nvjvjvnvnvjxvn?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -35cc88 (base 14) in base 3?\nAnswer: -10110112022102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(200)\/sqrt(10) - sqrt(20)) - sqrt(20))\/(-6*(sqrt(10) - sqrt(10)*2)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7098039419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f**3 + 31*f**3 + 29*f**3.\nAnswer: 35*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)*-2 + sqrt(600))\/(4*(sqrt(24)\/sqrt(4) + sqrt(6))))\/(-5*(-4*sqrt(4)\/sqrt(2) - (-1*sqrt(2)*1 + sqrt(2)))).\nAnswer: -sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -869 divided by 109\nAnswer: -869\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66834 divided by -7426.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from ooizoooitoruorooti.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200043 (base 5) in base 2?\nAnswer: -1001001010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2410 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l. Let q(f) = 35*f. Let s(g) = g**2 - 34*g. Let m(a) = 3*q(a) + 2*s(a). What is m(d(k))?\nAnswer: 18*k**2 + 111*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.00785831 and 93.8.\nAnswer: 99.80785831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + u - 137234, u - 16 = -14. What are the prime factors of k?\nAnswer: 2, 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -34314.6569945 and -0.9.\nAnswer: -34315.5569945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + -15. Let n = -22 - p. What is the closest to 1\/7 in 1, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303375.\nAnswer: 3, 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p**4 - 17007*p**3 + 16750197*p**2 + 20960052*p + 4192860 = 0.\nAnswer: -2086, -1, -1\/4, 670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -3.4712\nAnswer: 10.4136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*q = 0, 0 = 2*w + 3*q + 25. Let s be (-5)\/((-25)\/2)*w. Is (-237)\/(-6)*(8 + s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 5.\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 46 - 34 = 138. Suppose -3*h + 4*p - 14 = -h, -5*p = -20. Let l = 28 - 24. Solve l*j + h = -a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((3 + sqrt(88)\/((sqrt(8) + (sqrt(8) - sqrt(40)\/sqrt(5)))*6) - ((1*sqrt(176) + sqrt(44))\/sqrt(4) + 1)) + 2))**2.\nAnswer: -68*sqrt(11)\/3 + 3755\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0 + 2. Suppose i + a*i + 4*v - 762 = 0, -5*i + 1270 = -4*v. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 5*k**2 + 0*k**2)*(2*k**2 - 3*k**2 + 4*k**2)*(0 - 3*k + 0) + (k**3 - 4*k**3 + k**3)*(-k**2 - 4*k**2 - 3*k**2).\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2247 = 253*w - 8319 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1071 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 + 0.4. Let o = -0.7 + s. Let j = 0.8 - o. Which is the closest to -4? (a) j (b) -3\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 40 = 2*t. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-50)\/(c*c**3*c)**(-43) assuming c is positive.\nAnswer: c**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3*n = 17, -5*k + 1465*n - 5 = 1466*n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 123? (a) 4\/5 (b) -1\/8 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1414 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320647 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 - 2*s - 160 + 178 - 341*s**2 - 18 as j*s**3 + h*s + q*s**2 + f and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -300*s**3 - 101*s**2 - 110*s - 54553997 wrt s.\nAnswer: -900*s**2 - 202*s - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 6) + -6 - 6 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 + 7)*(6*f**2 + f**2 - 4*f**2)*(-6 + 3 + 0) to h + n*f**2 + d*f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 15*i + 109 = -55*i + 2620, i - 27 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s = 15*s - 25. Let g be 1401\/(-705) - -1*(-2)\/s. Is -1 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -11. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -5*q + 407. Let p = q - 20. Suppose -p = -5*f + 48. Solve 2*b - 8 = 4*r, -f = -5*b + r + 2*r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 144 and -0.2.\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 802 times -0.14\nAnswer: -112.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 429 - 4717\/11. Let f = 0.9 - 6.9. Put f, p, 1\/3 in descending order.\nAnswer: 1\/3, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135818 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((2 - -8) + -10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Let r(d) = 0 - d**2 - 1 + c*d - 3*d. What is r(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -20*m**3 + 604*m**2 - 1180*m - 1808. Let f(y) = 36*y**3 - 1209*y**2 + 2362*y + 3614. Let w(j) = 4*f(j) + 7*v(j). Factor w(r).\nAnswer: 4*(r - 150)*(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701097160 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2512585866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656953 is divided by 239?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*w = 120, w = -2*n + 5*n + 186. Is 6 a factor of (52\/12 + 9)*n\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0.6. Let r = 2\/277 - -259\/2493. Let x = 247 + -248. Which is the closest to x? (a) r (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2923 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 479.55 + -555. Round h to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 3\/94 (b) 1.934 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o - 30. Let g(h) = -3*h - 30. Let t(k) = -4*a(k) + 3*g(k). Let x be t(6). What is the highest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -741*d*m**2*z**3 - 13*d*m**2*z**2 + 5*d*m + 19*m**2*z**3 + 2*m**2*z + 2*m**2 - 2*z**2 wrt z.\nAnswer: -4446*d*m**2 + 114*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 + -106. Find the second derivative of 20*f**4 - 2*f**3 + 121*f + f**3 + q*f**3 - 21*f**4 wrt f.\nAnswer: -12*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1520)\/320*1260\/(-20349).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -22023 and -374414\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}