diff --git "a/data/dm_maths/full_data/210_11255.jsonl" "b/data/dm_maths/full_data/210_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/210_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Express (-3 + 2 + 5)*((-93*c + 96*c + 0 - 5)*(5 + 0 + 0) - 4*c + 2*c + 3*c - 7*c - 3*c - 2*c) as d*c + m and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**5*n**6*(n**4*n)\/(n*n*n**(-3)*n*n))**(2\/39) assuming n is positive.\nAnswer: n**(32\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1. Let i = -291 + 294. Let w(h) = 116*h**2 + 167. Let o(k) = i*y(k) + w(k). Differentiate o(c) wrt c.\nAnswer: 232*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g)**(-4\/3)\/(g\/(g\/g**(-1\/42))*g\/g**(-3\/2)) assuming g is positive.\nAnswer: g**(32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -439 (base 12) to base 4\nAnswer: -21231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, -0.2, 9\/2, 0.5.\nAnswer: -0.2, 0.5, 9\/2, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3 = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101659.\nAnswer: 277, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -16 + (-36080)\/(-20) + (1 - 7 - -1).\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**6\/120 + s**5\/30 - s**3\/3 + 11*s**2. Determine t(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 798791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 + 193. List the prime factors of x.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - l - 3, 2*f + 5*l - 4 = -5. Let y be (-60)\/(-14) - (-4)\/(-14). Let o be y\/(-4) - -3 - -3. Solve x = f*x - o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-216)*(-231)\/(-88)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p. Suppose 4*f = 3*i - 20, -3*i - 4*f + 21 = -7. Let o(a) = -i*a - 17*a + 21*a. Calculate k(o(n)).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2543 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: Convert 43204.8 months to years.\nAnswer: 3600.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2208 + -17709\/8. Let x = -1 + 3. What is the common denominator of 1\/(x\/(-49)) + 2 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n**2 + 6*n + 1. Let x(b) = -22*b**2 + 13*b + 2. Let z(j) = -5*h(j) + 2*x(j). Let m be 5 + (-2 - (1 - 3)). Determine z(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -115 and 2541.7.\nAnswer: 2426.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 - 58. Which is greater: t or 12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) -2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - u - 68 = 0. Suppose 2*v = 2*d + 1160 + 930, -4212 = -u*v - 4*d. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -153 or -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 68*f**2 + 390*f + 1731. Give z(-73).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20120001 (base 3) in base 15?\nAnswer: 163a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 10700*k**3 + 10760*k**2 - 10793*k**3 - 10760*k**2.\nAnswer: -93*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1662.5 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879418?\nAnswer: 2, 439709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -90*o**2 - 1. Let x(u) = 361*u**2 + 4 - u - 6*u + u + 7*u. Let a(k) = -9*s(k) - 2*x(k). List the prime factors of a(1).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 55*f**2 + 65*f - 65. Let j(c) = 5*c**2 + 6*c - 6. Let z(u) = 6*g(u) - 65*j(u). Let k(p) = -14*p**2. Give k(z(n)).\nAnswer: -350*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiil when four letters picked without replacement from freilro.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 21*t**2 - 4*t**2.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 2071, 7088, 16869, 33004, 57083, 90696, 135433?\nAnswer: 192884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4471 - -4474. Solve 6*l = -g*w + l - 8, 2*l = 5*w - 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2371, 2349, 2327, 2305?\n\"Answer: -22*r + 2393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 - -94. Let q = -759 - -744. Sort -5, q, p in ascending order.\nAnswer: q, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261160 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4302 - 2206*h**2 + 2208*h**2 - 4302.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5))**6*(g**(13\/5)\/g*g)**(-37))**(-38) assuming g is positive.\nAnswer: g**(17822\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.58 - 25.08. Let j = s + 20.499999981. What is j rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -3.9. Let c = v + -3. Let n = -238\/3 - -78. What is the second smallest value in n, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 7:22 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 23*o**2 + 12. What is f(-23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17891*o*y**3 + o*y**2 + 5*o - 3*y**3 + 11*y + 794 wrt y?\nAnswer: -107346*o*y + 2*o - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m - 39. Let w(o) = -68 + 48 - 7*o + 3*o. Let x(j) = 2*i(j) - 5*w(j). Differentiate x(s) with respect to s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 - (17 + 31 + -81)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -122, -1\/8, 1.7, -5978?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o**3\/11 - 28782*o**2\/11 + 31796640*o\/11 - 928552200 = 0. What is o?\nAnswer: 710, 3377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -6 (c) -1 (d) 4 (e) -12 (f) 0.055\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 25. Suppose -27 = -3*b + 3*t + 21, 0 = -4*t - 4. Determine s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3974551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -38 + 2. Let u(c) = c**2 + 6*c + 3*c**3 + 6 + c**2 + 4*c**3. Let a(k) = -13*k**3 - 4*k**2 - 11*k - 11. Determine o*a(q) + 11*u(q).\nAnswer: -q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92077.\nAnswer: 92077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k + k**2 + 3*k + 13 + 2*k**2 - 4*k**2. Let s be l(8). Suppose -1 = -v, -v + 195 = s*n + 4*v. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1974 is divided by 109?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1566*b + 6900. Let k(x) = -1566*x + 6764. Let l(v) = 5*j(v) - 4*k(v). Find the first derivative of l(i) wrt i.\nAnswer: -1566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.963505 - -0.306905. Let l = 27 + k. Let u = 2.32 - l. What is u rounded to 3 dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 20. Let w = 129 - 126. Put w, q, 1.6 in decreasing order.\nAnswer: w, 1.6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 8*z + 3. Let j be x(-8). Suppose -12 = -4*c + 4*g, j*g = 5*c - g - 14. What is the derivative of c*w**3 - 45 - 3*w**3 + 40 wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 60. Is 3470\/6*(h + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) - (-180)\/483. Let n be (-8)\/(-9) + (-8)\/12. Is n at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -41. Let s = -11 + t. What is the highest common divisor of 45 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 56*l**3 - 206*l**2 + 96*l + 54 = 0. Calculate l.\nAnswer: -9\/28, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-2)\/8 + 3\/(-1). Let j be -1*(5 + n + 0). Is j less than 1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 108057*d + 108060*d - 65 = 0, 0 = j + 2*d - 40 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.2, -1\/2, -122\/3, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**4 - 868*q**3*x - 71*q*x - 14*q wrt q?\nAnswer: -12*q**2 - 5208*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 61*y**2 + 977*y + 1985. Give r(-25).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135087 is divided by 1197.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 - -124. Suppose -3*b + 1 = -8, -68 = -4*z - 4*b. What is the highest common divisor of l and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b203d1 (base 14) in base 10?\nAnswer: -5993667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 6642\/1627?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 202 + 197. Let j be ((-8)\/(-32))\/(b\/80). Suppose 9\/7*q**2 + 3\/7*q**3 - 3\/7*q**j - 3\/7*q - 6\/7 = 0. Calculate q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(2736) + sqrt(19) - ((-2*sqrt(19)*-2 - sqrt(19)) + -2))**2.\nAnswer: 60*sqrt(19) + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1513303 is divided by 55?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 11*r = -3*g + 243, 0 = -3*r - 3*g + 183. Let v = r + -39. What is the greatest common divisor of 147 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 1 - 2. Solve 3 + d = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*r - 0*r - 87, -2*r = -4*y + 378. Suppose 5*u - y = 27. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 637.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23193 and 648?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Let p be 13 + -1*(-3)\/f. Suppose p*y = 10*y. Sort y, -2, -1 in decreasing order.\nAnswer: y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93810 and 225144?\nAnswer: 1125720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 19.16. Let t = -8 + 7.2. Let s = i + t. What is s rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 77 = -5*x, 0 = -9*x + 4*x - 15. Calculate the remainder when 91 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 3)\/(-2)*34\/4. Let r = a + 15. Let c = r - -11. Calculate the highest common divisor of c and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)*q*q*q\/((q\/q**4)\/q)*q)\/((q\/(q*q**(2\/11)*q)*q)\/(q\/q**(1\/3))))**(-26) assuming q is positive.\nAnswer: q**(-4160\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -19096.36996 to the nearest 10.\nAnswer: -19100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1510489920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggf when three letters picked without replacement from fggfffgfgff?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -2.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 404 - 5942 = -5*j, 4*r = -j + 11112. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 380 and 1?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21105183.\nAnswer: 3, 11, 53, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -8346*w**5 - 42988*w**4 - 31324*w**3 + 71360*w**2 + 11334*w - 36 = 0. Calculate w.\nAnswer: -3, -2\/13, 1\/321, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2271?\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8.9. Let x = -6 + c. Suppose 30 = 2*r + 4*g, 5 = -4*r - 2*g + 7*g. What is the nearest to x in 1\/4, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 719\/120 + 13 + (3\/(-24) - 13). Let y = 10 - 4. Is y <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from wvdfanf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1455 times 449\nAnswer: 653295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 1.04, 5 in increasing order.\nAnswer: 3\/7, 1.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g + 10. Let h(j) = 3*j + 5. Let f(z) = -7*h(z) + 3*o(z). Calculate f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 - 171\/(-76). Suppose 5*o = 3*i + 33, s*i = -6*o + 3*o + 16. Let p(g) = g**3 - 6*g**2 + 2*g - 8. Calculate p(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916133 to the power of 1\/2, to the nearest integer?\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from zozoogowozz?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -26. Suppose -z*j + 3*j = 0. Let y = 8 - j. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1023641591 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*q**5 + 186*c**3 - 12*c*q**5 - 7*c*q**2 wrt q?\nAnswer: 120*c**3*q**2 - 720*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**6\/40 - j**4\/12 + 3*j**2\/2 - 7. Let u(b) be the second derivative of f(b). Find the second derivative of u(k) wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l**2 + 3*l - 7. Give t(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let v be -7 + ((-910)\/(-50) - 10). Which is the closest to 0? (a) x (b) 2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2610*h + 155424 = -1558*h + 3805*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhhdddhchhhz. Give prob of sequence fd.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from fzpdwtztd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 66?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 157423636 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1069.524857 - 0.449143. Let o = -1068 - m. Let r = -0.026 - o. Which is the nearest to -0.1? (a) r (b) 1\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.04566\nAnswer: 0.04566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.0397, 0.4, 36 in increasing order.\nAnswer: -6, -0.0397, 0.4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93\/4 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 12*r**2 + 4. Let d be s(12). Suppose -3 = 5*y - p, -d*p - 9 = 5*y - 2*p. Which is greater: y or 1\/179?\nAnswer: 1\/179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**2 - 2*w + 4. Suppose 2*x - 4 = -s + 5, -3*s = -9. Suppose -3*k - 5*h = 19, h = 3*k + x + 4. Give l(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 n when four letters picked without replacement from {b: 13, n: 6}?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -120, -145, -158, -153, -124, -65?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140402 - -23224?\nAnswer: -112123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (3 - (-6 - -6) - 5)) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = c - 2, -5*y + 32 - 24 = 4*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -83876 divided by 13?\nAnswer: -6452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -161, -0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12935 and 44616.268?\nAnswer: 57551.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 193 + 207 = -4*o, -q + 182 = 4*o. Let j = 1361\/7 - q. Let z be (-6)\/(-5)*(39\/26 - 4). Which is the closest to z? (a) j (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0*r**3 + 2196954*r**2 - 2*r**3 - 2196933*r**2.\nAnswer: -2*r**3 + 21*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(136) + -4*3*sqrt(136) - sqrt(136)))\/(-1*sqrt(1152)*-6)*-1.\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdbdvbcjdbaj. Give prob of sequence cba.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2\/2 + 2913*i\/2 = 0 for i.\nAnswer: -971, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s + 1. Let c be j(1). Let w be ((-10)\/3)\/((-4)\/6). Let f be (0 - w - 0) + 0. Put c, -2, f in decreasing order.\nAnswer: c, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15653.198 rounded to the nearest one hundred?\nAnswer: -15700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 29 = -2*a, 3*h = 5*a + h + 77. Let z be ((-66)\/10)\/1*a. Let v = 203 - z. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - p + 4*p + 0 + 0 + p + (1 + 3 - 2)*(p - 6*p + 3*p) + p - 2*p + 3*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b + b - 2*b + 9*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1136 (base 9) in base 11?\nAnswer: -6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 86, 137, 208, 299?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**3 - 17*q**2 - q. Let k(m) = m**3 + m. Calculate 3*k(b) + y(b).\nAnswer: -2*b**3 - 17*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-b**4 + 4*b**4 - 5*b**4)*(1 - 2 - 1).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -250 (base 10) to base 14\nAnswer: -13c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/880 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 18.3. What is the closest to -2 in r, 0.4, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-88)\/(-10) + 18\/90. Let q be -6*30\/(-12) - 9. Let h be 2\/((-1)\/((-3)\/2)). Solve q*f - h*f - b = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-9) - (-20)\/9. Suppose 6*f - 3 = 3*f. Let k(s) = s + 1. Let t(l) = 2*l**2 - 4*l. Give f*t(r) + o*k(r).\nAnswer: 2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/4))\/(h\/(h*h**29)))**(-30))**(22\/3) assuming h is positive.\nAnswer: h**(-6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, d: 13, n: 3}. What is prob of picking 3 d?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 3*sqrt(252) + sqrt(63) - (sqrt(252) - sqrt(252)*1)**2) + -3.\nAnswer: -3 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppqpq. Give prob of sequence pp.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 133 = 8*n. Let w = -18 + 25. What is the highest common divisor of n and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {y: 2, x: 1, o: 3, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2 + p + 1. Give x(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbccccccbcbc. What is prob of sequence ccc?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0339*-6.1342\nAnswer: -0.20794938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39830321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -0.3, -2\/5, -6480?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6288, 12596, 23108, 37824?\n\"Answer: 2102*d**2 + 2*d + 4184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 106?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in -5, -1\/8, 18206?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -6.231?\nAnswer: -6.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*m + 29, 0 = -9*h - m - 2*m + 36. Let c(v) = -v**3 + 4*v**2 + 13*v - 12. Give c(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/5*(-1924)\/74.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28565.84759 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -13*b**4\/4 - 2*b**3 - b**2\/2 + 3*b + 5. Is a(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5. Let a = 4 + j. Suppose 16 = 7*q - 2*q + a*x, 2*q = 4*x - 16. Solve q = 2*b + 5*o - 5 - 16, -b - 5*o = -23 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/7? (a) -3 (b) 10.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b + 4. Let j(a) = 5*a**3 - 4*a + 9. Let x(m) = 0 + 1 + 3 - 2 + m**3 - m. Give b*j(g) - 9*x(g).\nAnswer: g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 163? (a) 4 (b) 0.038 (c) -1 (d) 10 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 4\/5*g**5 + 128*g + 56*g**3 - 128*g**2 + 39 - 11*g**4. Factor a(h).\nAnswer: 4*(h - 4)**2*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 30825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10665 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995645449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, y: 1, k: 3}. What is prob of picking 1 k and 1 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 5. Suppose -5*c = n - 24, 23 = 18*c - 13*c + 2*n. Let j(p) = p - 4. Determine c*j(m) - 4*r(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2. Let z(y) be the third derivative of 161*y**4\/4 + 556*y**2 + 1. What is z(l(x))?\nAnswer: -1932*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 2*f**5 + 2*f**3 - 2*f + 11*f**5 + 28*f**5 + 26*f**5 + (2*f**5 - 4*f**5 + 4*f**5)*(-5 + 3 + 1).\nAnswer: 65*f**5 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**7\/1260 + u**6\/90 + 13*u**5\/180 - 7*u**4\/6 - 49*u**3\/4 - 19*u**2 - 2. Solve x(z) = 0 for z.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from pccc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1082, -70, 1 in ascending order.\nAnswer: -70, -8, 1, 1082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 723 and 1928.\nAnswer: 5784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 207. Let q = -151.9511 - h. Round q to 3 decimal places.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120010110 (base 3) to base 10\nAnswer: -11028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3400 is divided by 147?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p = -28*p - 216. Let c be ((-1)\/1 + 5)*(-133)\/(-76). Solve u - p = c*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/15)\/((3\/3)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*-1 + -2 - (sqrt(320) + 1 + 2 - sqrt(320))**2)*2 + (3 + 1*1*sqrt(320) + 0)**2.\nAnswer: 32*sqrt(5) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.112 + 0.412. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(7\/6)*w\/w**4*w)\/(w**(2\/3))**(10\/3))**(-44))**18 assuming w is positive.\nAnswer: w**2420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 31794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - -32. Calculate the common denominator of (-6)\/6 + f\/75 and -2 + 322\/(-315)*(-15)\/(-12).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13444?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.1, -0.04, -2, -142312?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7709.1 rounded to the nearest ten?\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2176 + 1816 = -36*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 56129 - 56128 + h + 2*h**2 - 3*h**2. Let m(p) = -5*p**2 + 30*p + 3. Give 3*k(i) - m(i).\nAnswer: 2*i**2 - 27*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1111101 (base 2) to base 15\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 2) + (-16)\/(-4). Let a be b\/5 + 4\/(-10). Suppose -4*x + 2*x + 4*k = -44, a = -4*x - 3*k + 77. Solve 4*c = 8*c - x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.072 - 226.93493.\nAnswer: -226.86293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 2*q**7\/105 - q**6\/30 - 8*q**5\/15 + 2*q**4 + 8*q**2 + 3. Let g(y) = 0. What is y?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 240 = 4*x + 62, -3*x + 123 = -5*q. Suppose 12*d = -11*d + x. What is the smallest common multiple of 112 and d?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -262745 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*r - 14 = 4, 0 = 2*l + 5*r - 13. Suppose 2*z + 2*z - 3*u = 12, 16 = -2*z - l*u. What is the nearest to z in 0.1, -2, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38365532?\nAnswer: 2, 17, 433, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 964 (b) -6\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 3*m + 9514. Give s(96).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-8 + -2 - (-2 - 0)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13630\/3 - 4544. Which is the nearest to 0.7? (a) 3\/8 (b) k (c) -1 (d) -9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738.1624 kilometers in nanometers?\nAnswer: 738162400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = -2*k. Let h(f) = f + 1. Let p(s) = -3*s**4 + 3*s**2 - 12*s - 12. Let w(j) = k*p(j) + 12*h(j). Find the third derivative of w(a) wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22905678 is divided by 154?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 0.9, 37, -0.4, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*8*3\/6. Suppose -5*w = -0*w - 95. Let d be (-56)\/(-16) - (-3)\/(-2). Solve -d*o + o = -2*u + 9, -z*u + o = -w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2))**(-1\/6)*(i*i**1)**(-37) assuming i is positive.\nAnswer: i**(-887\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Suppose 14 = 72*t - 65*t. Solve 3*u + x = -o*x - 11, t*x = u + 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11010010001010001 (base 2) to base 4\nAnswer: 122101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 18*t + 1. Let k(q) = q - 1. Let a(m) = -5*k(m) + y(m). Determine a(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 15*h**2 - 13 + 32*h**2 + h - 8*h. What is the units digit of u(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.25386 - 0.06454. Is 2 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -59.\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -234*a - 3. Let x(d) = d. Let m(c) = -2*v(c) + 18*x(c). Let n be m(1). Suppose 5*b = b + n. What are the prime factors of b?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**2 - 23296*c + 46608 = 0. Calculate c.\nAnswer: -5826, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47889*a**2 + 1176*a**2 + 2528*a**2 + 1517*a**2.\nAnswer: -42668*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -778 - -4681\/6. Let l = w - 7\/3. Sort l, 0.5, -0.04 in decreasing order.\nAnswer: 0.5, -0.04, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -14*i**3 + 17*i**2 - 19*i - 123. Let o(w) = 3*w**3 - 4*w**2 + 4*w + 31. Let t(v) = 2*d(v) + 9*o(v). Determine t(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -11711161?\nAnswer: 6\/11711161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*k - 30, -k - 30 = -5*n - 2*k. Let l = 3 - -2. Solve -4*y - 12 = -l*q, n*q - 5*y + 3*y = 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - 2*sqrt(150))*-5 + (sqrt(150) + 1*sqrt(150))*4 + sqrt(150))\/((-2*sqrt(200) + sqrt(200) + sqrt(200) - sqrt(2)) + sqrt(2) + -2*sqrt(98)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1026*w**3 - 3011*w**3 - 4444*w**3)*(4*w - w - w).\nAnswer: -12858*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*t**3*v**2 + 2*t**3*v + 6*t**3 + 9007*t**2*v**2 wrt t?\nAnswer: 90*v**2 + 12*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**5 + a**4 + a**3 + a**2 - a + 1. Let k(v) = -10*v**5 - 5*v**4 + 40*v**3 + 5*v**2 - 15*v + 15. Let w(b) = k(b) - 15*m(b). Factor w(q).\nAnswer: 5*q**2*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (27 - 0)) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:41 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9888060 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*((-448)\/63)\/(-8). Solve 0 = h - w + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - 38553*v + 6*v**2 + 38553*v - 3*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022429 to 4 dps.\nAnswer: -0.0224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*b**2 + 624 - 624 + (-4 + 3 - 1)*(3*b - 3*b - 2*b**2) - b + b + 2*b**2 + (9*b - 3*b + 3*b)*(-1 + 1 + 2*b).\nAnswer: 70*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1671 = -576*p - 7181 - 26108 + 1552 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656*h + 7273 + 363 + 694 = -23158 for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 150168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 80, 195, 374, 635?\n\"Answer: 3*b**3 + 5*b**2 + 33*b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -166656 divided by -6\nAnswer: 27776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2\/549, 4\/5, 56, -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*6\/1. Suppose 406 = r*k - 334. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6882.08 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - a - 5*i - 1062, -i = -2. Let d be 78\/(-45)*609\/2. Let m = d + a. Calculate the common denominator of m and -12\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -337482810 to the nearest one million.\nAnswer: -337000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.6496 centimeters in micrometers?\nAnswer: 1926496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8215349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 12*z**2 - 13*z - 13. What is s(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7*z + 20, 0 = -5*w + 2*z + 880. List the prime factors of w.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) - (-20345)\/939?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -537*r - 22 - 478*r + 1070*r to m + f*r and give f.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (519584\/9620 - 61)\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2078950 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1284 and 174.\nAnswer: 37236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5642?\nAnswer: 2, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/1621 and -23\/11?\nAnswer: 17831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n + 8*n - 778 = -193*n + 8611 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 17*s + 15. Let n = 87 + -101. Does 8 divide g(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 6:42 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - 864248?\nAnswer: -864231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -400571.703 take away -0.2?\nAnswer: -400571.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/(-3) - 2\/3. Suppose 2*s = 5*g + 20, -38 = 3*g + 4*s - 52. Put d, -3, g in descending order.\nAnswer: d, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83179500.\nAnswer: 2, 3, 5, 23, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -0.4, -19 in decreasing order.\nAnswer: -0.4, -2, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16467308 to 4 dps.\nAnswer: 0.1647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {e: 1, y: 2, r: 2, g: 1, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05792 (b) 188 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 89*f. Let d(b) = 2*b. What is s(d(g))?\nAnswer: 4*g**2 + 178*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 35 - 43*z**2 - z - 21*z**2 to p*z + o*z**2 + m and give o.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*n + 12. Let g(k) = -k + 1. Let m be g(1). Solve m*i = -3*i - n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101.73 + 2.27. Let c = 103.828 - d. Let a = c - -0.17313. What is a rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -315282.89 to the nearest 100.\nAnswer: -315300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-2 + 1) - -1. Let m = -488.37 + 491. Let l = -2.53 + m. Sort l, 2, s, -3 in descending order.\nAnswer: 2, l, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -446?\nAnswer: -3\/446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3235?\nAnswer: 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1123739567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z**3 + 18*z**2 - 18*z. Let p be (270\/(-150))\/(1\/10). Let l(v) = -v**3 + v**2 - v. Give p*l(k) + q(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -572, -1659, -3480, -6041, -9348, -13407, -18224, -23805?\n\"Answer: -t**3 - 361*t**2 + 3*t - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -277234.\nAnswer: 2\/138617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3.073 * 0.009086\nAnswer: 0.027921278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - s - 1. Let h be n(-6). Suppose -77 = 8*t + 139. Let d = t - h. Solve -2*p - 2 = d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-6) - ((-2)\/7 - 0)*-24.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1558 and 41?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t - 37. Calculate j(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 - 2*s - 9. Let o be m(-4). Suppose -5*y + o = -8. Calculate the highest common divisor of y and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 702 = 3*h, -5*l - 730*h + 1163 = -728*h. What is the remainder when 3706 is divided by l?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 829*b**2*c*g - 33*b*c*g - 2*b*c + 2*b*g + 2*b wrt b.\nAnswer: 1658*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i - 87. Let l be (4\/16*2)\/(1\/8). Suppose 2*t = 4*u - 3*u + 61, -l*t + 3*u + 125 = 0. What is the greatest common divisor of t and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.786226 - -2424?\nAnswer: 2435.786226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 34.1. Let w = -0.2 + 1.2. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 32. Sort -3, r, -1.\nAnswer: -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -359 or -360?\nAnswer: -359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 720708 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1\/(2\/(-32)). Let b(z) = 17 + z**3 + 2*z**3 - 17*z**2 - 12*z + 0*z**3 - 5*z. Let k(p) = p**3 - 6*p**2 - 6*p + 6. Give r*k(t) + 6*b(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 9\/11, -0.2, 3, -193, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/15970 and 22\/35.\nAnswer: 111790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/(12\/(-16)). Solve a = -l - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000054429773 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657030580 rounded to the nearest 1000000?\nAnswer: 1657000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -115*g**3 + 2*g**2 + 12 + 0 + 27*g**3 + 9*g. Let l(c) = c**3 + c + 2. Let r(q) = -i(q) + 6*l(q). What is the third derivative of r(y) wrt y?\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 22*r**2 - 1646. Let g(q) = -13*q**2 + 988. Give -12*g(d) - 7*s(d).\nAnswer: 2*d**2 - 334","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1133 + 0.3867. Let m = 4.1 - 4.6. Which is the third smallest value? (a) 3\/4 (b) q (c) -1\/3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a8 (base 12) to base 10.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11691\/13 greater than 295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*j = -111, -n - j + 13 = 3*j. What is the smallest common multiple of n and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**3 - 7*b**2 + 8*b - 10. Let z(v) = -2*v**3 - v + 4. Let h(r) = y(r) + z(r). Determine h(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 45 + 48. Let d(k) = -292*k + 3. Is d(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -o + 4. Which is smaller: -11\/3 or o?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4320 and 63833400?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/5*(-7 + 12). Let s = a + -20. Does -12 = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -8. Factor 4*v - 3*v + 0*v**a - 6 - 3*v**2 + 8*v.\nAnswer: -3*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = -39*l + 32916. Calculate the remainder when l is divided by 52.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(385)*-1)\/sqrt(11) - 6*sqrt(875))*3)\/((sqrt(5) + sqrt(180) + sqrt(5))*5 + -3*sqrt(125)).\nAnswer: -93*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*k**2 - 247*k**2 + 2 - 7*k + 18*k + 216*k**2.\nAnswer: -371*k**2 + 11*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 142, 193, 244?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 6, -g = 2*y + 5371 - 53399. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**5 + 12*g**4\/5 + 3*g**3 - 12*g**2\/5 = 0. Calculate g.\nAnswer: -1, 0, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001111100011101010 (base 2) to base 16.\nAnswer: 8f8ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.61413 months in years?\nAnswer: 2.0511775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = v + 5, 0 = 4*v + 16. Let a(k) = 7 - 3 + 22*k - n - 5. Does 9 divide a(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 + 5*f - 4*f + 1 - f**2 + 2*f. Let x be v(2). Let z = x + 23. Calculate the least common multiple of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3580102178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -220 in descending order.\nAnswer: 1, -1, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, r: 3, d: 8}. Give prob of picking 3 d.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(258\/(-4644))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 + 1.09. Let d = -87 - -87.43. Let k = 0.03 - d. What is the second smallest value in k, 0.05, o?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, -473142, 0 in descending order.\nAnswer: 0, -4, -16, -473142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2568, -2\/5, -50, 0.4, 3 in decreasing order.\nAnswer: 3, 0.4, -2\/5, -50, -2568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k - 4. Suppose k*g = g + 9. Suppose -2*j + 58 = 2*q - q, -g*q = -4*j - 124. What is the greatest common divisor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-8))\/((-63)\/(-140)))\/(1\/(-2))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -295\/27 + 130\/27. Let d be ((-6)\/(-2552)*-1)\/(-3). Let j = -73367\/3828 - d. What is the common denominator of h and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3850*v - 27010. Determine o(7).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.6 times -0.04?\nAnswer: 0.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r**2 - 10*r + 2. Let j(y) = y**3 - 3*y**2 - y - 5. Let s be j(4). Let d be f(s). What is the greatest common factor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 4665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*k = 153, 3*k + 46 = -2*u + 4*u. Suppose -9 = 4*q - u, -5*l - 2*q = -140. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + i - i)*(-2 + 2 - 4*i)*(7 + 8 - 5) in the form j*i**2 + u*i + m and give j.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n = n + 440. What is the highest common divisor of 100 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 23640?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/4797 and -43\/348543?\nAnswer: 14290263","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*p, -3*p = 4*l - 5*l. What is the second derivative of 4*f + f**3 + 44*f + l*f + 4*f**3 wrt f?\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15066968 and 449288?\nAnswer: 6328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5806892.\nAnswer: 2, 7, 13, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.242 - 0.742. What is the third biggest value in -0.09, -1\/23, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*y = 83*y - 2298. Let w = y + 379. What is the nearest to -2 in 15, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - 48. Let s = 2 + v. Solve -3*x + 4 + s = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 105029 and -534632.\nAnswer: -429603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-39)\/150 - (5\/10 - 1). Suppose 0 = -k - 5*h - 11, -1 = 3*k + h - 2*h. What is the closest to u in k, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/35)\/i**(-3\/7) assuming i is positive.\nAnswer: i**(13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20946568*r**3 + 765180*r**2 - 3*r wrt r?\nAnswer: 125679408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -728 - -1064. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3063*l - 5 - 3047*l + 33 - 30.\nAnswer: 16*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**5 + 15164*a**2 + 179802*a.\nAnswer: 20*a**3 + 30328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-21))\/((-4)\/3). Let i(x) be the second derivative of 0*x**3 + w*x**4 + 0 - 2*x + 0*x**2 + 1\/10*x**5. Find the third derivative of i(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -766, 44, 1.\nAnswer: -766, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*y + 7352 + 3808. Let s = y + 318. Does -240 = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -572 and 1979628?\nAnswer: 1980200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604177 is divided by 176?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = c - 2, -2*d = 2*c - 350. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-9\/4))**(-1\/4)\/(p**20*p**(3\/19)))**(-8) assuming p is positive.\nAnswer: p**(5957\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 + f - 3. Let h(l) = 1416*l**3 + 59*l - 177. Give -59*d(w) + h(w).\nAnswer: 1298*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3195879539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (311*d**2 + 4785*d**2 - 3163*d**2 + 14500*d**2 + 16719*d**2)*(0*d + 4*d - 2*d) in the form b*d**3 + x*d**2 + m*d + s and give b.\nAnswer: 66304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*k + 243 + 526, 2*b = -2. Let g = k - -340. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 344 = 294 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = -m + 4*p, 3*p = -3. Let h be (3\/6)\/(2\/(-4)). Sort m, -2, 5, h in decreasing order.\nAnswer: 5, m, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-399)\/(-35) + -9)*(-94 - -84).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -857142*m + 6. Let h(j) = -j**2 - 3*j + 3. Let l be h(2). Let k be c(l). What is k rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llhhhhlhhlhlllhhhltl. Give prob of picking 1 h and 3 l.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + sqrt(68)) + (sqrt(17) - (4 + sqrt(272)))*-4.\nAnswer: -4 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1165, -3, -1 in increasing order.\nAnswer: -1165, -13, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*j**2*r**3*v - 2*j**2*r**3 - 4*j**2 + j*r - 7*j*v - 2*j wrt r.\nAnswer: -552*j**2*r*v - 12*j**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)\/(z\/z**(-1\/4)*z*z))\/(z\/(z*z*z**(-8\/5)))**(-22) assuming z is positive.\nAnswer: z**(637\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.00028 + 23. Round i to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 v, and 1 q when three letters picked without replacement from {o: 2, q: 2, x: 1, m: 1, v: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.8 - -6.47. Let p = -4.33 - s. Put -2, 3\/8, p, -1\/3 in ascending order.\nAnswer: p, -2, -1\/3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 9905*j**2 + 29670*j.\nAnswer: 5*j*(j + 3)*(j + 1978)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/135? (a) -4 (b) 3\/7 (c) 158 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 g when four letters picked without replacement from {h: 5, g: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 4, 9, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -108*h**5 + 2836 - 2836 + (-2 - 3 + 1)*(-2*h**5 - h + h) + 2*h**5 + h**5 - h**5 + 5*h**5 - 2*h**5 - h**5 - 5*h**3 + 5*h**3 - 2*h**5.\nAnswer: -98*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.060686 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m + 52*m - 5*v = 5, m - 3*v - 19 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 2*g**2 + 2. Let s(q) = -3*q**3 + 5*q**2 - q + 5. Calculate -2*s(z) + 5*t(z).\nAnswer: z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19759\/6 + -3292. Let s(r) be the second derivative of 2*r + 0*r**3 + 0*r**2 + 0 + 0*r**5 + 19\/15*r**6 + a*r**4. Find the third derivative of s(b) wrt b.\nAnswer: 912*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4600430 (base 7) to base 12.\nAnswer: -23699b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -22 - 83. List the prime factors of (-658)\/g*(-3)\/2.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 4*v**2 - 5*v - 4. Suppose 20*p - 12 = 17*p. Let i(j) = -4*j**2 + 3 - 3*j + 3*j**2 - 2 + p*j. Let s(t) = i(t) - o(t). Determine s(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 6*l**2 - l - 3. Let b be 4\/((-4)\/(-1))*15. Suppose 9*n = 4*n + b. What is the tens digit of g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44180.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -770*s**4 + 348*s**2 - 2?\nAnswer: -18480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -273*j. Let i(t) = 5*t**2 - 3*t. Let k(q) = -2*q**2 + q. Let a(o) = i(o) + 3*k(o). Calculate a(r(d)).\nAnswer: -74529*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 103711.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 463 - 485.2. What is the fourth biggest value in -0.5, 1, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -84*i**3*r**3 + 6*i**3*r**2 + 2*i**3 - 547*i**2 wrt r?\nAnswer: -252*i**3*r**2 + 12*i**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 151*h**3 + 4*h**2 + 2*h + 131. Let p(y) = -754*y**3 - 22*y**2 - 11*y - 655. Let u(m) = 11*o(m) + 2*p(m). Find the first derivative of u(s) wrt s.\nAnswer: 459*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*q**5*z - 19*q**5 + 48*q + 36*z wrt q.\nAnswer: -1580*q**3*z - 380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k + 37. Let h be g(-7). Find the second derivative of -5*v - h*v - 42*v**4 + 27*v wrt v.\nAnswer: -504*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/14141037 and -7\/40815.\nAnswer: 212115555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 10*s**2 + 11*s - 12. Calculate k(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30a5 - -25?\nAnswer: -3080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/1126375?\nAnswer: 2\/1126375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 35 + 5. Suppose -m = -3*x - 1. What are the prime factors of ((-4)\/(-8))\/(x\/156)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggffg. Give prob of sequence ff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47814?\nAnswer: 2, 3, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255.3637 years to centuries.\nAnswer: 2.553637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/547568 and -13\/336?\nAnswer: 1642704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1928 = -8*d + 72*g - 70*g, 5*d = -2*g + 1179. Calculate the remainder when d is divided by 173\/7 + (-2)\/(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:13 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**5 - 276*r**4 + 2660*r**3 - 6364*r**2 + 5832*r - 1856 = 0. What is r?\nAnswer: 1, 8, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**4 + 3*m**2 + 5. Find the second derivative of k(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1007 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -51, 30 in decreasing order.\nAnswer: 30, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 82731381 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9921907.\nAnswer: 9921907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2541*h*v**2 + 502*h - 3*v**2 + 5 wrt v?\nAnswer: -5082*h*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -19.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*l = v + 6, 4*v = -l + 3. Suppose 5*d - 8 - 7 = 0. Solve v*k - d*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(1\/(190\/(-150))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 2*p + 74, 0*p - 2*p = 2. Find h such that 24 + 84*h + 2*h**2 + 8*h**3 + t*h**3 - 104*h**2 = 0.\nAnswer: -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1157708540 to the nearest one hundred thousand.\nAnswer: -1157700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, z: 5}. What is prob of sequence gz?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6300 and 1909320.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.987951 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2170 and 173\/1302.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {q: 1, p: 2, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 16, q: 4}. What is prob of picking 1 q and 1 t?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 441\/4 - 110. What is the closest to k in -4, 2\/3, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.165733 * -151\nAnswer: -25.025683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 - 5*v**3 - 26*v**3)*(-v + 0*v - v)*(-15 + 49*v + 15).\nAnswer: 2548*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 15. Suppose l = 4 - f. Find the common denominator of -133\/18 and 6\/l - 785\/140.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18983981 - 24*q**2 + 18983981 - 5*q.\nAnswer: -24*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8934 - 17876 - 2211*x**2 + 8944 in the form s*x**2 + d*x + g and give s.\nAnswer: -2211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 319 + 660. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 7*a - 10. Suppose 9*m + 81 = 18*m. Let p be s(m). Let y(d) = 3*d + 6*d + 4 - p*d - 7. Give y(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3232*v + 6416*v - 17286 = 3050*v for v.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5587793509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + x = 62, -23*x = -h - 25*x + 34. Solve 5*a = -h + 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from {c: 1, t: 1, x: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 7. Let x be f(-10). Let p be 56*(-3 - (x - 1)). Is (0\/2 - -2) + p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3.0434, -1\/9, 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1618*g + 17798. Let q be s(-11). Find i, given that 33\/2*i**2 + q - 3*i - 33\/2*i**4 - 21\/2*i**3 + 27\/2*i**5 = 0.\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2870061*h**3 + 18736765 wrt h?\nAnswer: 8610183*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-10)*(14 + -4). Let f = o + -2. Put 2, f, -2 in decreasing order.\nAnswer: f, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/25)\/(((-315)\/(-20))\/(-9))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m**5 + 7*m**5 - 117*m**3 + 183*m**3 + (m**3 - 3*m**3 + 3*m**3)*(0*m**2 - 2*m**2 - m**2).\nAnswer: 13*m**5 + 66*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 2*m**4 + m**3 - 3*m**4)*(-3*m + 3*m - 2*m) - 4*m**5 + 9*m**5 + 9*m**5.\nAnswer: 16*m**5 - 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4495 * 0.1.\nAnswer: -449.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**2\/2 - 25*v\/2 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-200)*5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 8784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 13 - (-61 - -33) - 59?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 251?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(85)*-3 - (sqrt(85) - -2*(sqrt(85) + sqrt(85) + -2*sqrt(85))))\/(sqrt(405)*-1*-3*-2).\nAnswer: 19*sqrt(17)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 480289*c + 960557*c - 25 + 14 - 480284*c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -2 (c) -3 (d) 5 (e) -1\/119320\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 12. Suppose -5 = -q, 3*q - 31 = 4*a - 0*q. Let h = a + b. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + 2*sqrt(275) - (sqrt(275) + (sqrt(275)*1 + sqrt(275))**2)*2) + -1).\nAnswer: -4410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/63 and 13\/1134?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - u + 4, 3*u = -2*j - 8. Suppose -84 = 4*f - j*f. Let w = -23 - f. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 24. Let b be 38 - ((-4)\/x + 12\/(-42)). Let g = -26 + 64. What is the greatest common factor of b and g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:30 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*((-2*g + 1 - 1)*(-4 + 2 + 0) + 4*g + 0*g - 5*g + 0*g + 2*g + 0*g - 13 + 13 - 3*g) + (4 - 4 - 2)*(62 - 62 + 31*g).\nAnswer: -68*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -43. Suppose o*z - 5 = 11. Suppose 3*t - 132 = -2*j + z*t, t - 164 = -3*j. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16a616 + 4?\nAnswer: -16a612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4667 to 2 decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -511118*z + 426015 with respect to z.\nAnswer: -511118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06473 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127777 is divided by 538.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11787000 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*x - 412*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (228\/95)\/(-2)*20\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7008 + 7054. Solve -2*i = b*i + 144 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1\/l)**(-1\/2)\/(l**(-1)\/l*l*l*l\/(l*l*l*l*l*l**(-5))*l))\/(l*l\/l**6*l*l*l\/(l*l**(3\/5)\/l*l))**(2\/27) assuming l is positive.\nAnswer: l**(-244\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x + 4*f = -24, -23 = -2*x + 5*f. Let w be 7 + -2 + -2 + x. Solve 0 = 2*d + w*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/((-2)\/24). Let m = i - 13. Suppose j = -1 - 2. Put m, j, -4 in increasing order.\nAnswer: m, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from jlljjlld?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/330 and 173\/300.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**4 - 15769444*o**3 - 8526610 with respect to o.\nAnswer: 4*o**3 - 47308332*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 861 = -j + 8323, j - 2 = 0. Which is greater: i or -1501?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/16 + 18807\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32657555?\nAnswer: 5, 7, 933073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 50 = -8*u. What is the common denominator of (-2)\/(-8)*(-890)\/u and -35\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oraa when four letters picked without replacement from kooraozkorkzkzgrrk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 316360255?\nAnswer: 316360250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8625 to two decimal places.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h + 1. Let f(p) = -1750*p. What is f(o(c))?\nAnswer: 10500*c - 1750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 181002 and 13177692.\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j*n**3*u - 2*j*n**3 - 3*j*n**2 + 2025*n**3*u + 52*n wrt u?\nAnswer: -2*j*n**3 + 2025*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130072897826963 - 10*d + 130072897826963.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-567)\/324)\/(14\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2061937 is divided by 4157?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyynninnnynnyynnn. What is prob of sequence nn?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18588?\nAnswer: 2, 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43\/2 of a century?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55764521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95*x**6 + 2*x**2 - 7 wrt x.\nAnswer: -11400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3210246 and 0.01.\nAnswer: -32102.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*j - 37*j - 13. Let y(k) = -8*k - 1. Give y(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/18)\/((-2860)\/(-926640))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/11 and -85\/26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 840?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -26 (b) -2 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 35450*r + 460984. Calculate n(-13).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*a + 1, -2*k = 4*a + 4. Calculate the remainder when 76 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21421 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61227745379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.390208315 to five dps.\nAnswer: 0.39021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, o: 9, b: 1}. What is prob of sequence opp?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -4 (c) 2\/5 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -17.58?\nAnswer: 17.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*w - 162 = 130*w. Solve -w*t + 3 = -19*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 20*t + 47. Let j be q(-2). Solve -11 = -j*b + o, 2*b = -2*b - o + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 959, 865, 771, 677, 583?\n\"Answer: -94*n + 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 266.5996376 - 266.6. Round i to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 133.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**5\/2 + 14130*z**4 - 7330665*z**3 - 14130*z**2 + 14661327*z\/2 = 0.\nAnswer: -9913, -1, 0, 1, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 6:03 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164064 is divided by 1608.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w - 25 = -36*w. Suppose 30*n - w*n = 1040. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 156*y - 8 + 4 + 4 - 2*y - 3*y + 3*y + (4 - 5 + 0)*(-3*y - y + 3*y).\nAnswer: 155*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/44 and -63\/241582.\nAnswer: 483164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*y - 4*y + 0*y - 18*y to p + t*y and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Suppose u*y = 2*y - 16. What is the smallest common multiple of y and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.57?\nAnswer: 0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -5, 1\/3, 3 in descending order.\nAnswer: 3, 1\/3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.622141ng in grams?\nAnswer: 0.000000009622141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + s - 14 = l, -5*l - 2*s = 26. Let g be 4\/l*(-39)\/26. Solve -6 = r - g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*g - 115*g = 29*c + 85, 0 = 6*c - 4*c + 4*g + 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 3)\/(-6 + 7). Suppose -3*a = -p*m + 110, 0 = -3*m + 2*m - a + 24. Calculate the common denominator of -119\/10 and (-2)\/6 + m\/8.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w - 12 = 0. Let f(z) = 2*z**2 - 3. Let t be f(3). Suppose w*y = 5*h - t - 149, -4*h = -y - 129. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b - 1651 + 7*b - 7542 - 2272 - 3*b)*(-2 + 1 - 3).\nAnswer: 8*b + 45860","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4334, -17240, -38712, -68744, -107330, -154464, -210140, -274352?\n\"Answer: b**3 - 4289*b**2 - 46*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17279648 to the nearest integer?\nAnswer: 4157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-792036)\/(-69146))\/((-1)\/11).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 4 + 11834*o**2 - 5922*o**2 - 5922*o**2 - 6.\nAnswer: -10*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 35 - 30*u - 32.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1457, -5820, -13099, -23300, -36429, -52492, -71495?\nAnswer: -93444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 83, 96, 109, 122, 135?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 349 times 0.0099\nAnswer: 3.4551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k + 6*k + 0*k**2 - k**3 - 4*k**2 - 5. Let d = -84 + 74. Let r(a) = a + 5. Let g be r(d). Give p(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7 = i, h = i + 4*h - 11. Let a(w) = 11*w - 8. Let j be a(i). Differentiate v - v + j*v**4 + 17 + 2*v**4 wrt v.\nAnswer: 64*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*u = -7, 3*a - 3*u - 9 = -0*u. Let w = 7 - a. Suppose 0 = -w*k + 5*f, -4*k = 2*f + 2 - 8. Let o(v) = -7*v**3 - v**2 + 1. Calculate o(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 8. Let v be d(9). Let w = -77609\/8 - -9689. Find the common denominator of w and -3 - v\/(-1) - 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 1256 = 152*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2 + 3*a**2)*(-4 - 3 + 0)*(-a + 4 - 4).\nAnswer: 21*a**3 + 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001516 rounded to 7 dps?\nAnswer: 0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2988 = 3418. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 7*i - 7. Let k be v(8). What is the greatest common divisor of 9 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -9. Let j be (-1306)\/792 - (-2)\/r. Let q = -16\/11 - j. Put 0, q, 1 in increasing order.\nAnswer: 0, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373373832 to the nearest integer?\nAnswer: 19323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4471194 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/6 - (-9)\/(-27)) + 168. Suppose -3*j + 268 = -v - 239, j - v = f. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m. Let s(w) = 73*w. Give l(s(n)).\nAnswer: -219*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 12*s**3 - s + 5. Give c(2).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280366019?\nAnswer: 280366019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, o: 11}. What is prob of picking 3 o?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l + l + l + (-1 - 2 + 4)*(-4*l + l + l) - 1 - l + 1 + (0 + l + 0)*(-4 + 0 + 1).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -326148, -326153, -326158, -326163?\n\"Answer: -5*m - 326143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 6 + 1 - 6)*(0*w**2 - 4*w**2 + w**2)*(0 + 2 - 1).\nAnswer: -9*w**4 + 33*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 89.95512 millimeters?\nAnswer: 0.08995512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817088701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6449338 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11113326 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 29454*f - 24 - 16*f**3 + 4*f**4 - 29410*f + 4*f**3 - 12*f**2 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k - 31*k + 64 = 4*q, -112*k + 74 = 5*q - 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*6*-6*sqrt(363)*-1*-5)**2.\nAnswer: 70567200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 3)*(-1005991 + 3*t**2 + 6899*t + 2011987 - 1005996) to the form n*t + a + h*t**2 and give n.\nAnswer: 13798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3265?\nAnswer: 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 371 divide 806138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 + 5 - -2. Let d be (m - 1)\/(-4 + 3). Let h be (-2 - d)*(-4)\/16. Is h <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 234469*w. Let g(m) = m**2. Give t(g(i)).\nAnswer: 234469*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 11157 + 11065 = g, 0 = -3*g - 2*m - 36 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*v - 24 + 134. Sort 1, 4, v, 2.\nAnswer: 1, 2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20.9380882 and -2641.\nAnswer: -2620.0619118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2915 + -13?\nAnswer: 2902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 161940*c**3 - 750*c**2 - 375*c + 375. Let s(f) = 866*f**3 - 4*f**2 - 2*f + 2. Calculate -6*l(n) + 1125*s(n).\nAnswer: 2610*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b**3 - 2*b**3 + 75*b**3 - 28*b**3 - 26*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*b + 6*b - 2*b)*(3 - 8 + 3) + (0 + 3 - 1)*(-3 - 2*b + 3))*(-11*b**3 + 4*b**3 - 2*b**3).\nAnswer: 54*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**3 - 62*a**2 + 3*a + 18. Let r(s) = 3*s**3 + 34*s**2 - 2*s - 9. Determine 6*h(i) + 11*r(i).\nAnswer: -3*i**3 + 2*i**2 - 4*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8332531 and 1.\nAnswer: -8332530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s + 10. Let r be q(6). Suppose -26 - r = z. List the prime factors of z\/(1 - (5 - 2)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -6913.\nAnswer: 40\/6913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Let n be (-15 + 2 + -1)\/(-2). Let z = 8 - n. What is the greatest common factor of g and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 7, i: 3, f: 3, r: 6}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -5*a - 6*s, -10*s + 14*s = -5*a + 30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24776 or 24774?\nAnswer: 24774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 4, a: 1, w: 2}. Give prob of picking 1 w and 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12640020 is divided by 336?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -1, -11 in increasing order.\nAnswer: -11, -1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 78*u**2 - 932*u + 349. Determine m(-63).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203\/9 - 67\/3. Let h = 7 - 7.5. What is the fourth biggest value in -3, r, h, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 20 = -4*o - a, -4*o + 19 = 3*a. Factor 6\/7*r**o + 2\/7*r**5 + 4\/7*r**3 - 6\/7*r - 2\/7 - 4\/7*r**2.\nAnswer: 2*(r - 1)*(r + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(((j\/((j\/j**(-3)*j)\/j))\/j)\/j))\/j*j)**(6\/5)*j\/j**(2\/17)*j**(2\/9) assuming j is positive.\nAnswer: j**(7271\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, i: 4, m: 1, t: 5, s: 1}. Give prob of picking 1 p and 3 t.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 19. Let i = 2 + o. Solve 0 = -3*c + i*c + 2*k - 4, 5*k = -3*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 + 2*p - 1. Let v(y) = -y**3 - 3*y - 2. Let d(i) = -2*i**3 - 4*i - 3. Let l(g) = -2*d(g) + 3*v(g). Give 2*l(u) + x(u).\nAnswer: 3*u**3 - u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-255)*-10*(-54)\/(-180)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 + -ec33d?\nAnswer: -ec31c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 7552 = -2*h, -3*f - 806 = -h + 2964. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54449.8105 rounded to the nearest 10?\nAnswer: -54450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/(8\/(-36))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 1 + 4 + 3 - -8. Solve -2*a - 10 = 2*d, -s*d = -17*d - 5*a - 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 3*t + 8*t + (-19 - 27 - 12)*((-t + 4*t - 4*t)*(2 - 2 - 1) - 2*t + 4*t - t + t - 14*t + t - 1 - 2*t - 1 + 1) to s + f*t and give s.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 18 = 3*g, -4*g - 9 - 4 = 3*j. Let l be -14*(-240)\/(-210) - -20. What is the second smallest value in g, l, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aafaayayaaayumfamaaa. Give prob of picking 2 y.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(52) + -2 + -3*(sqrt(13)*-2 + sqrt(13) + sqrt(13))**2 + -1).\nAnswer: -4*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)\/(c\/(c\/c**(2\/7))))\/(((c\/c**(-2))\/c)\/(c*c\/(c**2\/c)))*(c**(1\/11)*c\/((c**(-4)\/c)\/c))\/(c**(1\/10)\/c**(-1)) assuming c is positive.\nAnswer: c**(7631\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3061246 is divided by 910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2354869 - 2354872.0000076. Let b = z + 3. Round b to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -29. Let p be 2*y*18\/36. What is the second derivative of -p*a + 2*a**3 + 33*a**2 + 0*a**3 - 33*a**2 wrt a?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*w + 196*w - 100*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023522157 rounded to 6 dps?\nAnswer: -0.000235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = z + 11, 37 = -5*s - 3*z + 92. Let n(f) = f**3 - 12*f**2 - 9*f + 4. Let v be n(s). What is v rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05692431 and 2.\nAnswer: 0.11384862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*m**5*t + 51*m**4*t**2 + 55*m*t**2 + 5*m wrt m?\nAnswer: -580*m**3*t + 612*m**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -65*m**2 - 64*m. Let h(q) = -23*q**2 - 21*q. Let d(g) = 17*h(g) - 6*i(g). Find the second derivative of d(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*c - 12. Let q = -91085 - -91091. Solve -5*i - 4*b + 2 = 0, -3*i + 4*b = c + q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Suppose 2*y + 1 = -5*n - 2, 5*n = 4*y - 39. Let c = 107363 + -107363. Solve -2*p + y*p - h = c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**2 + 3*m**2 + 0*m**2 + (-2 + 3 - 3)*(0*m + 0*m - 2*m**2))*(-147*m - 385*m - 289*m) to the form y*m + k*m**2 + p*m**3 + d and give p.\nAnswer: -4926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -900*c + 447*c + 450*c + 7. Let f = -5 + 7. Let u be o(f). Solve -4 + u = -3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -12*w**2 - 3*w + 4. Let r be i(1). Let x be (-2)\/r - 12\/(-66)*395. What is the greatest common factor of 90 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16\/11, 5, -3, 0.5, -2592?\nAnswer: -2592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*u + u + 45 = 0, 60 = 2*n - 2*u. Suppose -4*g = -45 - n. Let q be 4\/g + 3052\/36. Calculate the highest common divisor of 34 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1278 and 67\/217260?\nAnswer: 217260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 - 64*u**2\/3 + 649*u\/3 + 238.\nAnswer: (u - 51)*(u - 14)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, -43, 1\/9, 5, 31, 1\/3.\nAnswer: -43, 1\/9, 3\/11, 1\/3, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -806*u**6 + 3*u**3 - 4*u**2 - 1012*u + 6 wrt u.\nAnswer: -96720*u**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6492?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/19 + 27654*q\/19 - 5933524\/19.\nAnswer: -2*(q - 13609)*(q - 218)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 993.497l in millilitres?\nAnswer: 993497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 + 9851*w\/2 + 14569503.\nAnswer: -(w - 12233)*(w + 2382)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*4*59*(-4)\/(-8) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 133790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 763 and -2313 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4378 and 995.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*q. Let a(i) = i - 8. Let o be a(q). Let z = 4 - o. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -194288 less than or equal to -194288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-126)\/(-168)*(-904)\/(-6). Let q = -73 + c. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 8. Let w be v(6). Let q be 0 - -2 - w\/2. What is the highest common factor of 27 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 128 - 488 = 0. Let o be (12\/10)\/((-27)\/k). Solve 2*z + 3*z + y = -1, 3*y - o = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, -3.3, 2\/1213, -6\/11?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49383219 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 100001111010100010 (base 2) to base 7\nAnswer: 1115666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -547 (base 10) to base 7\nAnswer: -1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -42532815.\nAnswer: 1\/42532815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Let b be 0 - (1*-6)\/l. Suppose -5*f + 2*g = -51, 5*f - b*g - 57 = g. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 37. Let c be (-6*p*1)\/(-2) + -4. Is (-13755)\/42*(-2)\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 + -8)\/((-2)\/(-1548)). Let 126*z + 500 + 214*z**2 + a*z - 90*z**3 + 91*z**2 + 5*z**4 = 0. Calculate z.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 891\/220 - (-8 - -12). Let u(d) be the second derivative of -1\/6*d**3 - 24*d + 0*d**4 + 0 + b*d**5 + 1\/4*d**2 - 1\/60*d**6. Determine j so that u(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128008 (base 9) to base 6\nAnswer: -1401055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 10, 31, 62?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/658 and -121\/940.\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1228\/35 + -174\/5. Which is the nearest to -2\/5? (a) -1 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 3*c**3 + 2*c**3)*(-16*c + 4*c - 2*c).\nAnswer: -28*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -68*r**5 + 11*r**5 + 25*r**5 + (r + 0*r + 0*r)*(2*r**4 + 2*r**4 - 6*r**4) - r**5 + 2*r**5 + 0*r**5 - 4*r**5 - 3*r + 3*r.\nAnswer: -37*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7944208 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (1 - 5)) + (-24)\/12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0076945332 to five dps.\nAnswer: -0.00769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdfjmfdmjfmlmmffjf. Give prob of sequence mj.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.393 - 28.9. Let d = 0.007 + y. What is the third biggest value in -2, 0.1, d, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 - 4 = -3*b, -5*s + 15 = 5*b. Suppose b = -38*p + 34*p + 108. Suppose -29*x = -p*x - 176. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1944 + 1949. Let j = 0.14 + -0.14. What is the nearest to j in h, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 13*f + 317. Let i(b) = -3*b - 78. What is 18*i(p) + 4*s(p)?\nAnswer: -2*p - 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -700*r**4 - 7786*r**3\/3 - 3848*r**2\/3 + 1826*r\/3 - 4 = 0. Calculate r.\nAnswer: -3, -1, 1\/150, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 5\/4, -3, -1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442997331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11221*j**3 - j**2 - 966*j wrt j.\nAnswer: 67326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1958 is divided by 426.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 21170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 123, 122, 121?\n\"Answer: -x + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1389 - 1975. Let f = p - -979. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -13*i - 5. Suppose -2*k + 6*k - 12 = 0. Suppose 2*g + 19 = 2*m - g, -k*g - 8 = -m. Let b(q) = -7*q - 3. Determine m*b(w) - 6*o(w).\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03307 - 2.96693. Let w = -2.7 - -2.2. What is the second smallest value in -1\/5, w, 5, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 11:03 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-425)\/(-50)*3224\/1054.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 37794*h - 34539456.\nAnswer: -3*(h - 11606)*(h - 992)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18468.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 24*o - 13*o - 4*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5470000 rounded to the nearest 100000?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1, 140 in ascending order.\nAnswer: -2, 1, 4, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -51259 divided by -13\nAnswer: 3943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 249 + -239. Suppose -4*z + 30 = 2*l, -3*l - 15*z = -w*z - 45. What is the highest common divisor of 20 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2 - 22, -p = -r + 21. Calculate the greatest common divisor of 52 and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-325))\/((-7)\/(-5) - 1)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**4\/24 + z**3\/9 - 12. Factor r(g).\nAnswer: g**2*(g + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19824? (a) 3 (b) -1\/5 (c) 1.91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9022770, 9022772, 9022774, 9022776, 9022778, 9022780?\n\"Answer: 2*g + 9022768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 60\/9817843 and -97\/2.\nAnswer: 19635686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26027, 52118, 78331, 104726, 131363, 158302?\nAnswer: 185603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from eyxjxjvxjv.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) - 1*sqrt(147)) + sqrt(147))**2 - (sqrt(3) - (sqrt(3) + sqrt(48)))**2*1) + -6*(3*3*sqrt(300))**2.\nAnswer: -145701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-8) + 3\/12. Let p(k) = 11 - k**u - 6*k - 13 + 0*k + 6*k**2. Determine p(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 5, m: 2}. Give prob of picking 1 y and 1 m.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 438\/1201 in 2\/7, -5, 2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 9 - (80 - 89)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f788 - 5?\nAnswer: -f78d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 251 + 676 - 483 + 605 - 2337*o + 276 with respect to o.\nAnswer: -2337","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 9. Let y = x - 5.3. Let s(i) = 61*i + 671. Let f be s(-11). Which is the closest to -0.1? (a) f (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23793\/(-6489)*72\/242\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -428 (b) -1\/9 (c) 2 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -2*q + 2, -l - 86*q + 89*q - 13 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/7678 and 97\/88?\nAnswer: 30712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 546?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 86122703 to the power of 1\/2, to the nearest integer?\nAnswer: 9280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 10*w - 4*j + 85 = -2*w, 2*w = 3*j - 4*j - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 7*j**4 + 7 - 9 + 1 - 8*j to the form m*j**4 + i + n*j + s*j**2 + b*j**3 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 64*p - 60. What is r(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 1259360?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/111 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536 and 33299?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 9*k = -33175. Let s = 9402 - k. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493001984?\nAnswer: 2, 787, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 201, 333, 467?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 56815?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -0.1 (c) -5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4949, -89, 57 in increasing order.\nAnswer: -4949, -89, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*k - 7, 2*o - 16 - 12 = -3*k. What is the common denominator of 83\/22 and 1\/(-3) - (-83)\/k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10622542\/13 or 817119?\nAnswer: 817119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 917, 3651, 8201, 14561, 22725?\nAnswer: 32687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (206652\/(-24312))\/((-34)\/(-328))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*t - 5*k, 3 + 1 = 4*k. Let d be 206\/10 - t\/5. Let y = 29 - 25. Solve d = -h - y*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 + -101 - (0 + -25) - -28.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -357 + 220. Let x = p + 137.64. Let k = -0.54 + x. What is the nearest to k in 1, 0.4, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 143*p - 148*p - 25 = 0, 2*p + 38 = 4*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112246.\nAnswer: 2, 56123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -215824+-0.05159\nAnswer: -215824.05159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -20.2. Let i = -2.3 + h. What is the closest to -3 in i, 3\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.31864 in -3, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/43, -1\/5, -251, -0.4, 15 in increasing order.\nAnswer: -251, -0.4, -1\/5, -2\/43, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**0)**40 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 - 16*n**2\/5 - 2*n\/5 + 16\/5.\nAnswer: 2*(n - 8)*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 612129*p. Let f(h) = -528*h**2. What is f(y(x))?\nAnswer: -197842609874448*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 7*m**2 - 4*m + 8. Determine f(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12 - (-21 + 18))*4\/20. Let y = -0.5 - -2.5. Put y, c, 3\/4, 0.61 in descending order.\nAnswer: c, y, 3\/4, 0.61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpgmlwmllpmtlll. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaca when four letters picked without replacement from {q: 2, y: 3, a: 4, c: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 298 - 341 + 0*a as q*a + l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a microsecond in nanoseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1 = 4*g + 17, -g = -4*v - 23. Let b = 12 + v. Suppose 0*a - a = -8. Solve -4*w + b*w = -a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 67576?\nAnswer: 743336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 2316\/1075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - 32 + 32. Let w(r) = 7*r**2 - 5 + 14*r**2 - 3 + 19. Let g(t) = 4*t**2 + 2. Let v(k) = -11*g(k) + 2*w(k). Determine o(v(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 2. Let a(s) = -77*s - 1. What is a(b(h))?\nAnswer: -154*h - 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 4*i + 2*i**2 - 4*i.\nAnswer: 4*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 17*c - 9*c. Suppose 0 = 22*a - c*a - 14. Let n(l) = 2*l**3 + 28*l**2 - 2*l + 3. Does 4 divide n(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-1))\/(((-1292)\/170)\/38)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**4 - 26 - 7*f**4 + f**3 + 6*f - 3*f**3 - 10*f**4 + 26*f**4 - 2*f**2 to the form b*f**4 + o*f + r*f**2 + z + m*f**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59738 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5730187.68 minutes in weeks?\nAnswer: 568.471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -21*t**2 - 2*t. Let p = 417 - 415. Let q(y) = 5*y**2 + y - y - 4*y**p. Determine h(q(z)).\nAnswer: -21*z**4 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(270)\/sqrt(5))\/sqrt(9))\/(sqrt(12)\/(sqrt(24)\/(sqrt(18)\/sqrt(3) + sqrt(6))))*-1.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l**(-2\/5)*l*l)\/l))**(-2))**(-46)*((l**(1\/3)*l)\/l*l**(-2\/3))**25 assuming l is positive.\nAnswer: l**(1807\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/15)\/(6\/45*5).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 864694906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 49. Suppose -2*w = 3*a - 739, -u*w - a + 708 + 33 = 0. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b**3 + 16*b**2 - 5*b + 14. What are the prime factors of m(5)?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/39)\/((-120)\/(-90))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57728 is divided by 2395.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 132*m**3 + 5*m**2 - 7*m - 4. Let v(h) = -134*h**3 - 6*h**2 + 8*h + 4. Determine -4*v(w) - 5*y(w).\nAnswer: -124*w**3 - w**2 + 3*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 6. Let o be b(-5). Let r be o\/(-26) + (-384)\/(-208). Suppose 2*u - 3*u = p - 3, r*u - 6 = -p. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 15*a. Let w(l) = -8*l. Determine w(o(h)).\nAnswer: -120*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 16.35897 kilograms?\nAnswer: 16358970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 4516010 - 4516010.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 2688?\nAnswer: -2692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 13729*l + 20*l**3 - 27560*l - 2 + 13725*l as y + x*l**2 + s*l**3 + q*l and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*h, -2*h + 6 = -0*j - 5*j. Let l be (-92)\/20 + j\/5. Let a(r) = r**2 - r - 1. What is the remainder when a(l) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*h = -616, -5*h = -2*y - 0*h + 1157. Suppose -4*w + 2*a - 77 = -y, -4*w + 505 = a. Suppose 0*o + o = w. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 825698247 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/10 and -45\/1298?\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r. Let t(y) be the second derivative of y**3\/6 - 2*y. Let s(m) = -9*m. Let v(g) = -6*s(g) - 51*t(g). Determine v(j(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 0*s - 7*s**3 + 23*s**3.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474251937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h + 48*h - 7*h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t*z**3 + 64*t*z**2 + 2*t*z + 1254*t - 83289947*z**3 wrt t.\nAnswer: z**3 + 64*z**2 + 2*z + 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -28. Suppose -8*m + 12 + w = 0. Solve 3*g + 4 = -m*h, 0 = h - g + 5 - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 - 16 - 28411*g**3 + 28410*g**3 + g**2 to i*g**3 + w + o*g**2 + l*g and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2473021125.\nAnswer: 3, 5, 31, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2. Let s(a) be the first derivative of -25*a**4\/12 - 4*a - 14. Let b(l) be the first derivative of s(l). Give c(b(n)).\nAnswer: -625*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89704 is divided by 11203.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(25\/4))**10 assuming y is positive.\nAnswer: y**(125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3801 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 46264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**3 - r - 21*r**2 + 2 + 3176728*r**4 - 3176729*r**4 + 2*r to the form f*r**2 + g*r + o*r**4 + c*r**3 + i and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -226112153 or -226112156?\nAnswer: -226112153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5102 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l**2 - 122*l - 447. What is o(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 5118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3232 (base 4) to base 2.\nAnswer: -11101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-300)\/(2\/(20\/15)). Let n = 189 + d. Is -11 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 2*r**2 + 28 + 4*r - 5*r + (-23*r + 22*r - 7 + 12)*(-2 + 4*r + 2) as o*r + t + d*r**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(275) + 0 + sqrt(275) - (-2*sqrt(275) + -3) - (-1 + 2 + sqrt(1584) + -1 + sqrt(1584)))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 340941603 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**23*(g\/(g**(-29)*g))\/g)**(8\/11))**(-14\/11))**(-1\/16) assuming g is positive.\nAnswer: g**(357\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2607*f = 2608*f + 43*j - 141 + 11, 4*j - 16 = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*b - 65 - 29, -b + 1 = 0. Let p = -3777\/3122 - 1\/223. Find the common denominator of p and 701\/(-90) - (d\/(-30) - 2).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-9870))\/(174\/145).\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 8 = 0, -x - 2*l + 20 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {t: 5, a: 5, y: 1, h: 2, c: 2, z: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6855535 rounded to 3 dps?\nAnswer: 4.686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9557 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k. Let m = -1 + 2. Let t be v(m). Is 6 + t\/(-2)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/2224?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344450 is divided by 5547?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -53, -5 in decreasing order.\nAnswer: 0.8, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01986666 rounded to four dps?\nAnswer: 0.0199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 9*y**2 + 27 - 21 + 3 + 1 - 6.\nAnswer: 9*y**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 2202?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 - 9*u**2 + 5146*u - 10282. Calculate q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, 6, -35, -114, -243, -434, -699, -1050?\n\"Answer: -2*c**3 - c**2 + 2*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(98) + 5 + sqrt(98)*-2*1.\nAnswer: -28*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0617*2.3.\nAnswer: -0.14191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 + 245. Calculate the remainder when k is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 11*t. Let b be u(-11). Find the third derivative of b*a**2 - a**3 - 5*a**2 + 2*a**3 + a**3 wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6733 and 243.\nAnswer: 1636119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 minus 26.2?\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.344811 millimeters?\nAnswer: 0.0344811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - s**2)*(5 + 0 - 3)*(3 - 1 - 3) in the form f*s + b*s**2 + z and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + ((-15)\/(-2))\/(-3))*-62 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28029 or -486\/55?\nAnswer: -28029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1873999, 1874106, 1874277, 1874506, 1874787?\nAnswer: 1875114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 6:53 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k. Let n(m) = -342*m**2 - 38*m. Let y(v) = -62*v**2 - 7*v. Let z(i) = -7*n(i) + 38*y(i). What is z(d(c))?\nAnswer: 1368*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14620 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = -2*j, -2*j - 2*i = 3*i - 16. Let y(g) = 5*g + 1. What is the remainder when ((-329)\/21)\/(-2 - 5\/(-3)) is divided by y(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 12 = 0, -2*r - 2*r + 15 = 5*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1102, -2221, -3346, -4471, -5590, -6697, -7786, -8851?\nAnswer: -9886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 28*a + 585. Let g be s(-21). What is the nearest to g in -3, 0, -1, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-605 + -7)*(-22)\/8?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-22)\/33?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3690 + 3693. Suppose -4*t = -5*u + 67, -3*u - 3 = -0. Let x = 7 + t. Sort b, x, 1.\nAnswer: x, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/198 and -15\/2.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 + 227. Suppose u*w + d - 31 = 0, 2*d = 42*w - 37*w - 70. What is the remainder when 20 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26704 and 16.\nAnswer: 26704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -v - 50, 5*v + 150 = 2*k + 3*k. Find the common denominator of -79\/2 and 951\/(-210) + 14\/v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*t**3 - 101*t**3 - 34*t**3.\nAnswer: -197*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/9)\/(1\/(-3)). Suppose f = 3*z + 6*f + 17, 0 = -2*f - 8. Let a = z - i. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28708546 is divided by 3189838?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1115, -1996, -7183, -14446?\n\"Answer: -1038*c**2 + 3*c + 2150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 10. Let a(i) be the third derivative of 5*i**5\/12 + i**3\/6 - i**2. Is 13 a factor of a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 6. Let v(w) = -w - 1. Let y be v(-5). Let f be g(y). What is the common denominator of 4\/10 + 9\/f and 119\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26966 and 278.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y**2 + 3*y + 2. Let d(i) = 8*i**2 - 4*i - 3. Let l(n) = -3*d(n) - 4*u(n). Let g be l(-3). Solve 1 = o - 4*j + 12, 3*j - g = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -856153, -1712729, -2569305?\nAnswer: -3425881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-128)*(4\/(-14))\/(372\/29512)?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*x - 427509 + 427539 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - 202201?\nAnswer: -210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15253 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 9*k - 41. Let d be l(12). Put -4, d, -2, -92 in descending order.\nAnswer: -2, -4, d, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2. Let u(z) = -56*z + 87*z - 5*z. What is g(u(x))?\nAnswer: 676*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 9:17 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 15*v**3\/7 - 72*v**2\/7 - 27*v\/7 + 60\/7 = 0?\nAnswer: -1, 4\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3402 is divided by 89?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 15. Let k be t(-9). Let h(g) = -g + 4. Let p be h(0). What is the derivative of p - 3*j - 2 + k*j wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Suppose w = -0*w - c. What is the units digit of -2*w\/(-4)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1305.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 110643737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19)*-2 + 4) - (3 + sqrt(19)*2))**2 + (-1*(sqrt(114)*-1 - sqrt(114)))\/(1*1*sqrt(6) + sqrt(6)).\nAnswer: -13*sqrt(19) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by -34\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1839, 7384, 16635, 29592, 46255, 66624?\n\"Answer: 1853*g**2 - 14*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -233112, -466222, -699332, -932442?\n\"Answer: -233110*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4435 (base 7) to base 2\nAnswer: -11000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -314148, -5 in ascending order.\nAnswer: -314148, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1351624 is divided by 337888?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3.3. Let t(d) = -82*d + 164. Let s be t(2). What is the closest to s in -3\/5, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x - 2744 = -4*o, -x = -o + 685. Suppose 5*f - o - 326 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171) + 2*sqrt(171)*-1 + (sqrt(171) - (sqrt(171)*-1 + sqrt(171) + sqrt(171)))*4)\/(5*sqrt(900) - sqrt(36)\/(sqrt(4)*3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(88)*4*-4*3)\/(-1*6*sqrt(200)*-2).\nAnswer: -8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*p = 110*p - 48000. Does 52 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 3 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 28 = -6*f + f, 5*n + 4*f - 38 = 0. Suppose -5*o = -n + 16. Is o less than or equal to -5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -5, 3.4, -1\/7 in increasing order.\nAnswer: -5, -1\/7, 2\/9, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 19*t - 82. Give y(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 995937 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -10. Let f = o + -5. Let u be ((-10)\/(-15))\/((-360)\/990 + (3 - 813\/33)). Which is the second smallest value? (a) f (b) u (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1276)\/462)\/(26\/(-546))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6721 - -5?\nAnswer: 6726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 239*f**6 - 2*f**5 - 17*f**3 - 10317*f**2 wrt f?\nAnswer: 28680*f**3 - 120*f**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**4\/4 - 7*q**3\/3 - q**2\/2 - 11*q - 5. Is 15 a factor of h(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4038 is divided by 126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2484 or 458?\nAnswer: 2484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noo when three letters picked without replacement from {o: 2, n: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**2*n**3 + 119*j**2*n**2*o**2 + 2*j**2*n*o**3 - 3*j*n**3*o**3 - 10*j*n**3*o - j*n**2 wrt n.\nAnswer: -24*j**2 - 18*j*o**3 - 60*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*67932804\nAnswer: 20379841.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 0.03, -0.1, 0.2, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j - 6459 + 7525 = 0 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 4, -1\/3, -5, -118 in decreasing order.\nAnswer: 4, 0.7, -1\/3, -5, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 - a**2 + 3*a**2 - 5*a**2 - 5*a**2 + 3*a**2 - 2*a + 2*a + 3*a**2 + 2*a**2 - a**2 + a**2 + a + 2*a**2 - a + (1 - a - 1)*(-a + 6*a - 4*a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -3*f**5\/20 - f**3 + 2*f. What is the second derivative of d(p) wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p - 6. Let i be 8\/4*p\/(-21). Which is the nearest to 0.1? (a) 5\/3 (b) -8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16972*f + 34769*f - 11131*f.\nAnswer: 40610*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(84)*-6)\/(sqrt(96)\/(sqrt(8) - sqrt(40)\/(-1*sqrt(5)))).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k + 31*k + 741 = 0. Factor k*r**2 - 82*r**2 - 82*r**2 - 20*r - 2*r - 84*r**2.\nAnswer: -r*(r + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -5\/7, -160, 2.52, -1?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-1))\/(-1) - 2. Let b(c) = -11*c - 3 + 4 + 10*c. Determine b(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - 2*g**2)*(-2*g + g**2 + 2*g) + (-4*g**3 - g**3 + 2*g**3)*(-3*g + 5*g - g) + g**4 - g**4 + g**4.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 19 = 16*q - 5*p, 9*q - 3*p + 3 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17404496 + 6388\nAnswer: 17410884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 2, 32, 4 in decreasing order.\nAnswer: 32, 4, 2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1895152 * 3.\nAnswer: 5685456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77670 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -1, -2\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565843 is divided by 101?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4526, -4515, -4496, -4469?\n\"Answer: 4*t**2 - t - 4529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001408737166 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*x - 79*x. Suppose 7080 = 15*d - x*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glglll. What is prob of sequence lll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48947, 97484, 146021?\nAnswer: 194558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/(s*s\/(s*s*s\/((s\/s**(-1\/6)*s)\/s)))*s*s*s\/s**(1\/26)*s assuming s is positive.\nAnswer: s**(265\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 708 + -684. Suppose f = -15*k + 7*k. Let z(o) = o**3 + o**2 + o - 1. Let u(w) = 5*w**3 + 4*w**2 + 4*w - 4. Determine k*u(p) + 12*z(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 22*y + 2*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6866.\nAnswer: 2, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 15.5?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/(-35) - 3036\/(-30). What is the highest common factor of b and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/35 and 26\/48379?\nAnswer: 1693265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**4 + 5*i**4 + i**4 + (i**2 + 3*i - 3*i)*(-18 + i**2 + 18).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = -21*v + 10, 3*z - 2*v + 220 = 0. Let t be (z\/16 - -2) + (1 - -1). Let d = 1 + 1. Which is the nearest to d? (a) 5 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115.661845909 - -115.662. What is h rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 982.1084 tonnes?\nAnswer: 982108400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f. Let c(z) = -9*z. Let g(d) = 3*c(d) - 5*h(d). Let k(v) = -3*v - 4. Let o(b) = b + 1. Let l(a) = -k(a) - 4*o(a). What is l(g(t))?\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (83 - 66) + (-2 - 17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 + 38*y - 350. What is the smallest common multiple of 1518 and o(6)?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 21 = -5*o. Let b(r) = -1 - 1 - r**2 + o*r - 1. Suppose 0 = -13*g + 6*g + 35. Determine b(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a = 22*a - 8. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06 and 1.41032887.\nAnswer: 1.35032887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1176) - sqrt(1176)*-1)\/(sqrt(1200)\/sqrt(4)))**2 + 3.\nAnswer: 3603\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 59*n**2 + 36*n - 193. Give a(30).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1194 - -1194.883. Let f = -0.217 - l. Is 4 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1132 = l + 3*h - 13400, -2*l + 4*h = -29014. Factor -l*w + 690*w**2 - 16443*w - 780*w + 209368 - 5*w**3 + 277312.\nAnswer: -5*(w - 46)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.99 + -0.01. Let w = -533 - -536. Suppose w*v = -34 + 37. Which is the third smallest value? (a) p (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - (-1 + -6) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 15*u**2 + 7*u**2 + 223 - 247 + 11*u**2 + 27*u - 36*u**2 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b = -1300. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*k + 2*i**3 - 75*i**2*k - 2*i + 7*k - 52 wrt i?\nAnswer: 6*i*k + 12*i - 150*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -15. Suppose -4*b = -2*b - 4, 5*b - 16 = -3*d. Let x(i) = 3*i**d + 4*i + 9*i - 12*i + 4*i. Let p(z) = 3*z**2 + 4*z. Calculate r*x(c) - 5*p(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2766 is divided by 139.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1435, 5, 0, 3 in descending order.\nAnswer: 1435, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.026 (b) -18 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705853.3 weeks to nanoseconds.\nAnswer: 426900075840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 56*b**2 + b + 57. Give r(-56).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 5:43 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3266010 and 4356?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.21 - -0.01. Which is the closest to 0? (a) -2 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, z: 5, k: 5}. What is prob of sequence zkez?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8893 divided by -16?\nAnswer: 8893\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*l - 2*k + 7 = -46*l, 5*l - 35 = -4*k. Solve l*f - 5 = 12*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(13) + (-1*sqrt(117) - sqrt(117) - sqrt(117) - sqrt(13)))*3)**2.\nAnswer: 37908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-184)\/(-36)*(-9342)\/(-2076).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkp when three letters picked without replacement from {w: 2, k: 2, f: 2, p: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01106 and 1.\nAnswer: 0.01106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.3 times 1?\nAnswer: -55.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-31)\/t**(2\/35)*t**34*t*t*t**24\/t)**(-1\/24) assuming t is positive.\nAnswer: t**(-163\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 82 and 0.02?\nAnswer: 81.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -3. Let d = 162 + i. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/((-17)\/(1224\/16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-5)\/1)\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**3 + 3*g**2. Let w(d) = 5*d**3 - 2*d**2. Suppose -2 = f - 2*f. Give f*r(m) + 3*w(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30.4 - 0. Let l = z + -30. Suppose 0 = 3*f + 2*r + 11, r = -5*f - 23. Which is the closest to 0? (a) f (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1413359*c**3 - 125*c + 70 wrt c?\nAnswer: -8480154*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4198 - 4180 = -r, -30 = -4*o + o - 2*r for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*o**2 - 9*o**2 - 10*o**2 - o + o + 3*o - 5*o**3 as i*o + d*o**3 + t*o**2 + y and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8061930924.0001314 - -8061931609. Let q = 685 - x. Round q to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 = 22*j + 45 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 9 + 5*h - h.\nAnswer: 4*h + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1233 - 3*q**3 - 2462 + 1225.\nAnswer: -3*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4559092.15 and 0.23418.\nAnswer: 4559092.38418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0.337 (b) 3\/2 (c) 1623\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 8 - 19 + 11. Let y(p) = -9*p**2. What is c(y(g))?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*c = -771*c + 13200 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x - 2*r + 6, 4*x + 5*r = 21. Solve -o + 2*u + 1 + 2 = 0, x*u - 9 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1808 + -1206. List the prime factors of d.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**3 - x**2 - 2*x. Let v(d) = 62*d**3 + 4*d**2 + d + 5. Determine -2*l(t) - v(t).\nAnswer: -74*t**3 - 2*t**2 + 3*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*((-7)\/1 + 2). Suppose 13*a - 11*a = -5*x + 40, 34 = 5*a - 4*x. What is the tens digit of (88\/a)\/((-2)\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25431300 (base 6) in base 4?\nAnswer: 3022100310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3719305\/536 + -6939. Is t greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 9427?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*v + 20 = -12, 5*c + v - 59 = 0. Suppose -f + 2*m + 210 = 43, -1 = m. Calculate the highest common divisor of c and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 5*i - 8. Let v = -1 + i. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 1:37 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 4*i - 39 = 0. Suppose 2*t - i*j + 5*j = 68, 5*t - 168 = -3*j. Calculate the remainder when t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -24. Suppose 7*s - 2*s = -k. What is the units digit of (1\/s + 3)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -949485*y**3 + 33*y**2 - 2101*y + 4 wrt y?\nAnswer: -5696910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12440 divided by 597?\nAnswer: 12440\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111 and 39159.\nAnswer: 1448883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 527*o - 578. Let j(d) = d + 7. Let x(r) = -f(r) - 68*j(r). What is the first derivative of x(g) wrt g?\nAnswer: -595","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4461.\nAnswer: 3, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 - 128. Suppose -u = g*n - 71, -2*n + 2*u = -5*n + 57. Suppose 0 = -19*o + n*o + 216. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -9 + -2 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5 - 3.67. Let i = v - -0.07. Let h = -4.1 - -0.1. Which is the nearest to i? (a) -2\/9 (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 184*y**2 + 3. Let w(r) = -2772*r. Determine w(h(v)).\nAnswer: -510048*v**2 - 8316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*b + 3. Suppose j = -b*j + 1090. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348 (base 12) to base 8.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-30)\/(-90) - (-38)\/336*-5 and ((-309)\/12 - -8)\/((-3)\/6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 224239 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from qvuxe.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1206, 2416, 3622, 4824, 6022, 7216?\nAnswer: 8406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.45 - 0.34043\nAnswer: 0.10957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638890 is divided by 21564.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 75*m**2 + 215*m + 65. What is l(-2)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k**2 - 2*k + 2. Let b(s) be the second derivative of -5\/6*s**3 - 4*s - 7\/12*s**4 + 4*s**2 - 1\/20*s**5 + 0. Let o be b(-6). Calculate a(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(33)\/sqrt(3) + 5 - (sqrt(396) + -1))*-6.\nAnswer: -90*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 10*r**2 - 8*r + 6. Determine c(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006283433195 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d*q**4 + 27*d + 2*q**4 + q**3 - 65*q**2 wrt q?\nAnswer: -120*d*q + 48*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 5*j - 17, 4*j - 160 = -g - 136 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 15*p + 92. Let w(t) = 17*t + 92. Let c(i) = -3*d(i) + 2*w(i). What are the prime factors of c(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-387)\/(-21) - 9*3\/63 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0. Let g = -90.9 + 72. Let y = 19 + g. Which is the nearest to -0.1? (a) r (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81260 and 7480.\nAnswer: 1787720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 + 77 - 186 - 225*n.\nAnswer: -225*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4225*g**3 - 11278*g**2?\nAnswer: -25350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 2037.29 (c) 2700\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121*x**4 - 1045*x**3 - 1602*x**2 - 476*x - 40.\nAnswer: (x - 10)*(x + 1)*(11*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322471392?\nAnswer: 2, 3, 379, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(-3 + 3 - 2)*(-16*g**4 + 3*g**4 - 10*g**4) as f*g**4 + i*g + d + p*g**3 + u*g**2 and give f.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 26049750 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*k + 5, 0 = -2*n - 3*n - 4*k - 31. Let b(i) = 9*i**2 - 9*i - 6. Let r(c) = 10*c**2 - 9*c - 5. Let x(l) = n*r(l) + 2*b(l). Factor x(p).\nAnswer: -3*(p - 1)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2. Let h(p) = 377*p**2 - 2*p + 2. Let n(v) = 13947*v**2 - 75*v + 75. Let y(x) = 225*h(x) - 6*n(x). What is g(y(s))?\nAnswer: -1306449*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 16196040242*p**3\/3 - 64780561408*p**2 - 43194120*p - 7200 = 0. What is p?\nAnswer: -30\/89989, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1047336 greater than 21\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 13 = 3*n, x - 2*n + 1 = -1. Which is smaller: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (26\/11)\/(84\/924)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 212.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**7\/210 - 7*h**5\/40 + 8*h**3 - 16. Let d(a) be the third derivative of u(a). What is the second derivative of d(v) wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 975 and 375?\nAnswer: 4875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4200*d - 1111*d + 54693 - 29834 - 189500 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 9*y**2\/2 - y - 1. Let x be h(-1). Let n be (3\/x)\/((-18)\/(-24)). What is the third smallest value in 1\/4, n, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**6*h)*h\/(h\/((h*h**(2\/29))\/h)) assuming h is positive.\nAnswer: h**(-172\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4 + 0 - 2 + 1 + (5 - 2 - 1)*(-1 + 1 - 1))*(2*h + 5 - 5).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2 + 1788*r - 3584 = 0. Calculate r.\nAnswer: -896, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 10*l**2 + 2. Let n be i(10). Solve -n*w + 0 + 4 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075696129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1286, 1358, 1440, 1532?\n\"Answer: 5*o**2 + 57*o + 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, v: 2, s: 1, r: 2, n: 2}. What is prob of sequence scrn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 26 - 6. Suppose 0*s = 2*v - 5*s + 2, o*v = -s + 40. Is 3\/v - (-1032)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpf when three letters picked without replacement from {p: 4, t: 7, f: 5, c: 2}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 7) to base 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 389 or 390?\nAnswer: 389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*u + 3 + 3, 5*u + 5*n + 30 = 0. Let s = -9721 + 9718. Sort s, -277, u in increasing order.\nAnswer: -277, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465916 and 3212?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 13*t - 26. Determine a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4570, -9199, -13876, -18601, -23374, -28195?\n\"Answer: -24*l**2 - 4557*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/16*((-1)\/(-10))\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205 (base 12) to base 3.\nAnswer: -101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 6*i + 3. Let j be f(3). Solve 0*p + p + 12 = -j*y, 3*y - 4*p + 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -316 - -207. Let j = y - -3026. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-30)\/((-16200)\/1332).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 12\/865 (c) 396 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5363883223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3370845*d**2 - 4610179*d wrt d?\nAnswer: 6741690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/4 + 7*u**3 - 33*u - 51. Differentiate g(z) wrt z.\nAnswer: 3*z**2 + 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeggggggrgrgrgggg. Give prob of picking 1 e and 1 g.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m + 3. Let a be q(-3). List the prime factors of 52\/6*(-9)\/a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -3*h**5\/190 - 5*h**4\/114 - 2*h**3\/57 + 24*h. Solve o(g) = 0 for g.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 135*b + 19262. Determine w(70).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:16 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 391516002 and 6876.\nAnswer: 3438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 8*j**2 - 12*j + 10*j**2 - 3 to d*j**2 + s + l*j and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyii when four letters picked without replacement from yiyiiyy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-3 + 400 + -1. What is the common denominator of (-6)\/27 + 34\/i and 47\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-60)\/45*9\/(-4). Suppose -i + 0*i - 49 = -3*a, 47 = y*a - 2*i. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*j + 373*j + 376*j + 379*j - 5 - 1511*j.\nAnswer: -9*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 23?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/328712 and 93\/68?\nAnswer: 328712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20145 - -20363. Sort h, -4, -7 in ascending order.\nAnswer: -7, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 3*w + 9. Let y be j(7). Let x = y - -87. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 402041.9ug?\nAnswer: 402.0419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 810681 from 396002913.\nAnswer: 395192232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - 6*k**2 + 2*k**2 + (-1160*k**2 + 526*k**2 + 388*k**2)*(2 - 1 + 0) - 2*k**2 + 14*k**2 + 0*k**2.\nAnswer: -235*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((4 - -2) + -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 337054*f + 1. Let a(w) = 2*w. Determine a(r(v)).\nAnswer: 674108*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 21. Suppose 265 = -4*m + a*m. Find the second derivative of 10*p - m - p**2 + 53 wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 280\/(-88) - 24\/110.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 99 (b) -34\/9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 46 = 44. Let n be u\/(-2) + 90\/(-20). Let s = 1.3 + -1. Which is the nearest to 4\/7? (a) n (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = p + 3479, 5*o + 1149 = 6*o + 5*p. Suppose 11*i - 1481 - o = 0. Is i a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*z - 1982, 0*r - z - 993 = -r. Suppose p - r = -7*p. List the prime factors of p.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4.491 (b) -3\/52 (c) -26 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1037091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.053 - 32.053. Let x = -30 - f. Which is the biggest value? (a) 0.2 (b) x (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -169 + 169. Let u(l) be the third derivative of 0 + y*l**5 + 1\/525*l**7 - 1\/30*l**4 + 6*l**2 + 0*l + 1\/150*l**6 - 1\/15*l**3. Let u(n) = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 407422*y - 407414*y + 10 - 12.\nAnswer: 8*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 329, 665, 1001, 1337?\n\"Answer: 336*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 - u**5 + u**5 - u**5 - 4*u**5 + 4*u**5 - 20*u**5 - 8*u**5 - 9*u**5 + (-3*u**3 + 0*u**3 + 5*u**3)*(-54 + 54 + 2*u**2) - 2*u**4 - 2*u**5 + 2*u**4.\nAnswer: -38*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**25*b*b**(-28)\/b*b*b*(b*b\/(b*b\/b**42)*b)\/b*b*b**(2\/155) assuming b is positive.\nAnswer: b**(6512\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c + 32. Let s be 66\/c - (-2)\/8. Let l = -1 - s. Solve -2*o = -l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w. Let i(y) = y**3 - 3*y + 1. Let g be i(2). Let d be (-16)\/(-6)*g\/2. Suppose -f + d = 7. Let x(c) = -c**2 - 3*c. What is f*z(a) + 2*x(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5079 + -35543\/7. Which is greater: -2\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 5*c - 2. Let d be f(-3). Let n be (-2)\/1814*(-200)\/d. Let p = -76067\/47164 + n. Calculate the common denominator of -57\/4 and p.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -28*h + 4. Let n(a) = 2*a - 550. What is t(n(o))?\nAnswer: -56*o + 15404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1080499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 5, 2, -0.01, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**4\/5 + 41*y**3\/15 - 23*y**2\/5 + 9*y\/5 - 770. Determine j so that i(j) = 0.\nAnswer: 1\/4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12375, 49501, 111375, 197997, 309367?\nAnswer: 445485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 563.9 + -560. Let u = g - 12.48. Round u to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1008 and 1332.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 576579697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(66))\/sqrt(6))**2 - (sqrt(44)\/sqrt(4)*6 + sqrt(11)).\nAnswer: -7*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 31 = -45. Suppose -t*z - z = -630. Calculate the highest common divisor of z and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(3 - 6)\/(-3). Suppose 426 = h*j + 104. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(17)*2) + -4 - sqrt(17))**2 - (sqrt(17) + 1 + -2).\nAnswer: 15*sqrt(17) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 6:36 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 - -112. What is the units digit of 16*(6\/(-15) + (-1110)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2200.635 greater than -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/19 (b) -1 (c) -3 (d) 1405 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 499886 divided by -1\nAnswer: -499886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16235, -32478, -48721?\nAnswer: -64964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 195349 and 29068?\nAnswer: 132055924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -23.4. Let f = -24.4 + 24. Let h = y - f. Which is the nearest to -2? (a) h (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 241560 and 2027520.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = 25*y + 4*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 6*d - 11*d + 29 = -13*g, -3*g + 2*d + 34 = 0 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 253 + 123 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62304.\nAnswer: 2, 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = j - 7, -5*j + 4*x - 1 + 15 = 0. Factor 0 + 1\/6*z**j + 1\/3*z.\nAnswer: z*(z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 23797800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b - 1. Let f(m) = 10*m. Let l(g) = 3*f(g) - 4*q(g). Let k(n) = -6*n + 9*n - 4 + 3 + 0. Give 7*k(a) + 2*l(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = -9. Let g = -9 + 11. Put g, -1, y in increasing order.\nAnswer: y, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -0.4 (c) 1\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-96)\/16))\/((-2)\/(-39)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 + 103. What is the greatest common divisor of 16 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66042410 divided by -4151.\nAnswer: -15910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 - -103305468.62?\nAnswer: 103305468.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2204806?\nAnswer: 2, 463, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 137.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57597, 57920, 58457, 59208, 60173?\nAnswer: 61352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6612427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*d - 26 + 26 - 588*d - 939*d)*(4*d - 4*d - 4*d).\nAnswer: 5856*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*sqrt(110)\/sqrt(10) + -6*4*(sqrt(11) - ((2*sqrt(11))**2 - sqrt(11))).\nAnswer: -54*sqrt(11) + 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 293049.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 450572833?\nAnswer: -450572837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/717220 and 51\/61040.\nAnswer: 2868880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**2 + 655*h - 6607. Calculate b(120).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + r**4 - 4*r**3 - 4*r**2 + 2*r**4 - r**4 + 6*r**2 to the form x*r + g*r**3 + b*r**2 + f + u*r**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1520, -1514, -1506, -1496, -1484, -1470, -1454?\nAnswer: -1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -31. Let z = g + 21. Let a = -8 + z. Solve 5*w + 2*o = 5 - 2, 3*w + 3*o = a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 0*l**3 + 44*l + 3*l**3 - 32*l - 2*l**3 - 9*l**2 - 5*l**2 + 11. Give a(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Let x(j) = -161*j**2 + 4*j. Let u(l) = 161*l**2 - 2*l. Let y(s) = -3*u(s) - 2*x(s). What is o(y(t))?\nAnswer: 161*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*2037.312.\nAnswer: 1833.5808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/18 - (-3)\/9. Let q = 236\/95 + 3\/190. Factor 9\/2*k**2 + q*k**3 + 7\/2*k + a*k**4 + 1.\nAnswer: (k + 1)**3*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6300)\/64 + 672476\/6862?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48132 and 1512?\nAnswer: 288792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2443 (base 11) to base 13\nAnswer: -15b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780 = 80*t - 2*t. Suppose 12 = 6*d - 36. Solve -3*x = -d*x + t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:24 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j - 7. Let r(o) = 5*o. Let p(h) = -h. Let n(i) = -4*p(i) - r(i). Let s(u) = -b(u) - 6*n(u). What is the first derivative of s(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -47\/2. Put -4, 2, o, 4\/5 in increasing order.\nAnswer: -4, o, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + 4 + (34 - 34)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 10*p**2 + 2*p - 7. Let g be d(10). Solve 4*n - 3 = g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n - 2*z + 5192, 5*z = -3*n - 7788. Let u = n - -33724\/13. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd1 + 52cb?\nAnswer: 62bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 - 3*i**2 + 257 - 127 - 139 to x + d*i + u*i**2 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6))\/(2\/102). Let i(z) = z**3 + 13*z**2 - 7. Let o be i(-13). Let d = k + o. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -66*q**2 + 10*q - 24. Calculate x(2).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + n**2 + 2*n - 5. Let c = 22918 - 22921. Let m(g) = 2*g**3 - g + 4. Give c*m(p) - 2*h(p).\nAnswer: -2*p**3 - 2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*o**3 + 32170*o**2 + 0*o**3 - 32365*o**2 in the form j*o + z*o**2 + m + v*o**3 and give z.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -7) + (2 - (1 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 3. Let f(b) = 1. Let u(h) = 6*f(h) + 2*q(h). Let o(s) = 11158 - 21*s - 11158. Give u(o(x)).\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 2*a - a)*(-a + a - a)*(3 + 3 - 3) + (17*a**2 - 46*a**2 - 65*a**2)*(-1 + 1 - 1) in the form x*a**2 + w + i*a and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -768651673 and -31317?\nAnswer: 768620356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 5, -3\/25, 6\/11, 3, 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**2 - 2*q - 3. Let z = 0 + 2. Suppose -8 - 8 = -z*j. Let s be (-6)\/(-8) - (11 + (-183)\/12). Let l(n) = -4*n**2 + n + 2. Give j*l(m) + s*t(m).\nAnswer: -2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -23. Let n be (-15)\/(z*(-2)\/4). Solve -2*i + 4*i + 3*d = n, -10 = -3*i - 2*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 17. Let f be q(-13). Suppose -f*z + 42 = 2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 108631539 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 465174.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 498870*b**2 + 6732298?\nAnswer: 997740*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 37 = -1. Find the first derivative of d*u**3 + 7 - 14 + 3 wrt u.\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -0.0953185.\nAnswer: -5.0953185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -4. Let o = 8 - h. Find the third derivative of 20*i**o - 11*i**3 - 8*i**2 + 24*i**3 wrt i.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w**4 - 9*w**4 + 4*w + 5*w**4 + (2*w**2 - 3*w**4 - 2*w**2)*(0 + 1 - 2) - w**4 + 6*w**4 - 3*w**4.\nAnswer: -8*w**4 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 25 - 24)*((1 + 3 - 2)*(-3 + 3 + o) + 12*o - 13*o - 3*o) + (-2*o - 2 + 2)*(-3 + 3 - 2) + 2*o - 6*o + 2*o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.6 and -160.\nAnswer: -151.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 7 = -3*m - 3*u, 3*m + 5*u - 29 = 0. Let k(g) = 1 - 39*g - m*g - 31*g. Let v(s) = 3*s**2. Determine v(k(j)).\nAnswer: 15987*j**2 - 438*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -109677, -108654, -107631?\n\"Answer: 1023*g - 110700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 138, 571, 1292, 2301, 3598, 5183, 7056?\n\"Answer: 144*x**2 + x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v + 61. Let n(w) = 3*w**2 + 10*w - 1. Calculate u(n(h)).\nAnswer: 27*h**2 + 90*h + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 72 = -4*b, -8*b + 695 - 618 = -2*m + b for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is c9 (base 13) in base 12?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*n - 292, -3*n = -4*n + 3*p + 138. What is the greatest common divisor of 1044 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/621 and 10\/6969.\nAnswer: 62721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06448 - 7.06448. Which is the nearest to g? (a) 3 (b) -1\/7 (c) 0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543*b - 1921 - 1305 + 511 = 0. Suppose 0*u**4 + 2*u**3 - 4\/7*u**2 - 24\/7*u - 2\/7*u**b + 16\/7 = 0. Calculate u.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 34*m**2 - 12*m - 237. Let d be s(-34). Which is greater: 341\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*l + 1 = -1, -12 = -5*s + 3*l. Suppose s = t - 5*w - 6, -t + 3*w + 3 = 0. Which is greater: -3 or t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 5*c - c)*(-2 + 0 - 32)*(-2 + 0 - 2).\nAnswer: 136*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (15\/27)\/((-2664)\/270 + -7 - -17)\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 - 7*f + 4. Let w be g(2). Let q be (3\/w - (-28)\/24)\/(-2). Sort 0.2, q, 1, -0.1 in decreasing order.\nAnswer: 1, 0.2, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(6\/(-2) + 15)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 18}. Give prob of picking 1 k and 1 w.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, u: 4, r: 2, i: 2}. What is prob of picking 3 u?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 1, 0.4, -0.68?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39364 or 78727\/2?\nAnswer: 39364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2. Put -5, i, 6 in descending order.\nAnswer: 6, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 84936 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m**2 - 2*m**2 + 2*m**3 - m**3)*(42*m - 148 + 148) to n*m + u*m**2 + f + k*m**3 + j*m**4 and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62595?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(30) - sqrt(60)\/sqrt(2))\/sqrt(10) - sqrt(3)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610366.6 micrograms in kilograms?\nAnswer: 0.0006103666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*g**3*p**2 + 42*g**3 + 38*p**2 - 21*p - 344 wrt p.\nAnswer: -52*g**3*p + 76*p - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 8*a + 10. Let l be r(-6). Sort 0.2, -8, l in increasing order.\nAnswer: -8, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1787001975 - -2\nAnswer: -1787001973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 115069878 a multiple of 1057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*v = 3*i + 10, 5*i - 5*v = 0. Calculate the highest common factor of i and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*z = 129*z + 173. Let d = -17144\/99 - z. Find the common denominator of d and -19\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-252)\/24*(-9)\/(-21)*-2. Which is the second smallest value? (a) n (b) 5 (c) 0.2 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -2. What is the derivative of -19*i**t + 7 + 1 + 2*i**3 wrt i?\nAnswer: -51*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*r = -9, -4*r = -z - 4*z + 7. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**6\/24 + 7*x**5\/30 + x**4\/12 + 2*x**3 - 111*x**2. Let s be p(-3). What is the biggest value in 2\/3, 0.1, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1195.98732 - -1196. What is z rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.21 - 0.365. Let v = d - 43.345. Let h = v - -43. Which is the second smallest value? (a) 5 (b) -4\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - o + 3*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 469 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*s**2 + 2645*s**2 - 1785*s**2 + 3221*s**2 + 1499*s**2.\nAnswer: 5482*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 5. Suppose 0 = -5*g + d, -2*i + 5*g + 37 = -8. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 2769 in descending order.\nAnswer: 2769, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.19 + -2942.424?\nAnswer: -2821.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -11*z - 110. Let n(r) be the first derivative of -r**3\/3 - 9*r**2\/2 - 5*r - 120. Give n(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/24*210\/3. Let z = 13\/4 - x. Let i be 2 + 1 - (-2 - 0). Which is smaller: i or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*c = 3*c - 86, 0 = -3*x - c + 129. Let k = x - 24. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6*b - 3*b - 4*b)*(2*b - b + b) - 3*b**2 + 3 - 3)*(-7 + 5 + 14) to the form z + g*b + c*b**2 and give c.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1100 and 400?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -22, 154, 2 in decreasing order.\nAnswer: 154, 2, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2513675l in millilitres?\nAnswer: 251.3675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 423*o**4\/2 - 3215*o**3\/3 + 576*o. Find the second derivative of m(x) wrt x.\nAnswer: 5076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/4)\/((f\/(f*f\/f**(2\/27)*f))\/f*f))\/(f\/(f**(-8)\/f*f))**(-17\/5) assuming f is positive.\nAnswer: f**(17969\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*8\/18*-3. Let p(o) = -o**3 + 33*o**2 - 90*o + 3. Let x be p(30). Let q = 15 + -22. Put q, k, x in ascending order.\nAnswer: q, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (6 - -1 - 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1890?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = -28*s + 8*s + 77 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/2 + 27*d**2\/2 - 121*d + 360 = 0. What is d?\nAnswer: 8, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 0.07737128.\nAnswer: -0.092845536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 + 1323?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9863 in 5, 0, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -15 - 2. What is the remainder when -3 + 3 - (0 - 32) is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 13*f**4\/6 + 20*f. Let w(o) = 2*o. Determine b(w(a)).\nAnswer: 104*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4339\/49 at least 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.27, -1\/18, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**2 + 15*o**2 - 10*o**2 + 14*o**2.\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -7*u, -3*m = 3*u - 6. Solve -k + 16 + 7*k + k**2 + m*k = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11da8 (base 15) to base 6\nAnswer: -1120135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33018 plus 8.176?\nAnswer: 33026.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - 3*g - 16. Determine f(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + j = -11, -25 = 4*k - 4*j + 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71289?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/16 and -37\/67.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100220000 (base 3) to base 16.\nAnswer: 14fb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -67830 divided by -3\nAnswer: 22610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51223537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -442 - -452. Calculate the common denominator of 6\/f*316\/(-96) and -157\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2 (b) -41.6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 39*p**2 - 579*p - 28. Let j(o) = -10*o**2 + 145*o + 6. What is 9*j(h) + 2*k(h)?\nAnswer: -12*h**2 + 147*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/10*1)\/(6\/(-32)). Solve w - 4 = 2*q, b = -4*q + 4*w - w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 29 - 6\/20*70. Solve n = 2*g, 4*j + 6*g - 4 = 9*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4. Suppose -2*t + 1395386 + 364614 = a. Suppose -g + 2*y = -2*g - 220000, -4*g - t = -2*y. What is g rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2829612.\nAnswer: 1\/2829612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 8*p + 2. Let r(h) = 3*h**2 + 9*h + 3. Let t(u) = -5*n(u) + 4*r(u). Let l = 2 - 0. What is t(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 1)\/(-2) - -3. Suppose 19 - c = 4*z. Let o(j) = -4*j - 1. Let h be o(-1). Put h, z, -5 in increasing order.\nAnswer: -5, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 415700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d + 16437b?\nAnswer: 16434d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z - 18*z - 18*z - 16*z - 21*z + 103*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/21, 294, 4, -46, 3 in decreasing order.\nAnswer: 294, 4, 3, -2\/21, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 59487012?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 + 161*x - 667. Give b(-36).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.02 + -2.92. Round s to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -137ab23 + -1?\nAnswer: -137ab24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - 7309.837916743.\nAnswer: -7325.837916743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1490.4196 + 1491. Round b to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*x**4 + 0*x**4 + 9*x**4 + (-3*x**4 + 0*x + 0*x)*(3 - 4 + 2) - x**4 + 4*x**2 - 4*x**2.\nAnswer: 15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12181\/2 + 60907\/10. What is the third biggest value in -9, z, -0.5, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/10)\/(10\/5)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 6672, 0.32, 0.09 in decreasing order.\nAnswer: 6672, 1\/2, 0.32, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 23*y + 78. Let a be v(26). Suppose -5*g = -n + 84, 3*n + 2*g + 72 - 239 = a. What is the remainder when 348 is divided by n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1422, -2\/13, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*g - 6*g + 2*g)*(-3 - 5 + 3)*(0 - 1 - 1).\nAnswer: -260*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 614192237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20436 is divided by 3406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5*k + 3 = 0, -4*j - k - 3*k - 12 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -92*a**2 + 16*a + 15. Determine w(2).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 533478*k**4 + 6944*k**2 - k + 5 wrt k?\nAnswer: 12803472*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.11282ml in litres?\nAnswer: 0.01211282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-14 + -13 + (-88 + 8 + -15 - 2))?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -711 * 5.\nAnswer: -3555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -42. Let i be (-1)\/3 + (-42)\/v. Suppose 35 = i*p + 3*p. Solve -p = 4*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 7*o**2 + o - 18. Let w be y(-6). Let g be (-12 + 1956\/42)\/(w\/21). Factor -9\/2 - g*c**2 - 33*c.\nAnswer: -(11*c + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.16 and 9102.\nAnswer: 1456.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 - 81*v**2 + 36*v + 1127. What is a(-19)?\nAnswer: -1362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -670460601 to the nearest one million.\nAnswer: -670000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 7. Let q be u(-5). Let a = -1 + q. Suppose -a*m + m = 45. Round m to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1645868271 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2409507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 27194 and 302 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2018 + 9783 = 3*b, -5*b = -2*i - 19651. What are the prime factors of b?\nAnswer: 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3971356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u = 15. Let w(o) = o**3 + 6*o**2 + 4*o - 5. Let q be w(u). Is q equal to -1\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23110 + -23104. Which is the nearest to 0? (a) v (b) 0.1315 (c) 0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(54)\/sqrt(3) - sqrt(18)) + sqrt(18)))\/(3*sqrt(81)) - (0 + ((sqrt(36) + sqrt(72)\/sqrt(2))\/sqrt(3))\/(sqrt(54)\/(sqrt(9)*2))).\nAnswer: -37*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6761 + 6758. Let s(o) = -9*o**2 - 4*o - 2. Give s(a).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21257795 divided by -5.\nAnswer: 4251559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -64*r**2 - 10*r - 77. Let o(w) = 13*w**2 + 2*w + 14. Determine 2*n(t) + 11*o(t).\nAnswer: 15*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*g - 2*g + 2356, 4*k = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 496.12 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -107.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = a + 30 - 404, -b + 379 = a. Calculate the highest common factor of 240 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 14 - 22, -4*d + p = -58. What is the remainder when 51 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -275235, 5, -7 in increasing order.\nAnswer: -275235, -7, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*p**3 - 60*p + 216 + 11\/2*p**2.\nAnswer: -(p - 12)**2*(p - 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2321230*y - 65586. Let x(s) = -637*s + 18. Calculate -6*r(v) - 21862*x(v).\nAnswer: -1286*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 4*c + 4*o, -5*c = -2*o + 5*o + 350. Let w = 83 + c. Solve 3*d = -w - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - 6. Let q be (1 - 4 - y) + -3. Let s = 35 + q. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143915701.9999983 - 143915721. Let i = 57 - 38. Let m = i + b. What is m rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in -6, 0.37, -2\/7, 1\/26?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1831 - 0.78347. Let s = 0.6 + i. What is s rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.727 and -0.019865936239.\nAnswer: -8.746865936239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 - 93 = -9*y. What is the remainder when 142 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -2\/5, -11\/3, -3, -8\/5, 33.63?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -32537, 3, 1\/3, -0.53 in increasing order.\nAnswer: -32537, -0.53, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from {l: 1, r: 1, e: 1, i: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141*s**6 + 2*s**3 + 4402*s**2?\nAnswer: 16920*s**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250459729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s + 94 - 80 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196 is divided by 120?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 27*p - 87. Let q be j(-6). Let a(k) = -77*k**3. Let n(t) = 4*t**3. Calculate q*a(i) + 56*n(i).\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*x + 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k. Let r(w) = 2*w**2 + 18. Calculate c(r(p)).\nAnswer: 4*p**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 233 and 32387.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 11*o. Let g(s) be the first derivative of -1\/2*s**2 + 0*s + 29. What is a(g(v))?\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1442060656 by -180257582.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8*r - 3*r + 89 = 0, -4*k = -3*r - 213. What is the remainder when k is divided by (5 - (-110)\/(-20))*-10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1662 divided by 889?\nAnswer: -1662\/889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + -30 + (-20 + 3 - -16) + (-15 - -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6881975 divided by 29285.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q + 3. What is g(7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 + 7*v - 9. Let o be i(4). What is the greatest common factor of o and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1033774 to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 2:40 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 478.97 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {h: 5, i: 3, z: 4, c: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s**6*s))\/s))\/(s**(-4)\/s)*s\/s**(-1\/13)*s\/(s*s**11*s))**(-43) assuming s is positive.\nAnswer: s**(-1161\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -1, 0 in decreasing order.\nAnswer: 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/9 - (0 + 2\/3). Suppose 2*m - 5*f + 6 = -1, -c = 2*m - 4*f. Suppose -5*z + 4*n = -774, -m*n = z - 138 - 36. What are the prime factors of z?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 377, 1261, 2977, 5801?\nAnswer: 10009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + 2*((sqrt(539) - (4 + (sqrt(539) - -4*sqrt(539)))) + (sqrt(539) - (sqrt(539) - (-3 + (sqrt(539)*3)**2))))).\nAnswer: -336*sqrt(11) + 58134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -509.30442 take away -1?\nAnswer: -508.30442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a9 + -10c8?\nAnswer: -a1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q**3 - q + 21. Let r(l) = -l**2 + l - 1. Calculate 2*a(h) + 2*r(h).\nAnswer: -18*h**3 - 2*h**2 + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and -0.97?\nAnswer: -0.1067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4 + 2 + sqrt(832))**2 + sqrt(832) + (sqrt(832) - 2*sqrt(832)*2)**2).\nAnswer: -25068 - 312*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r - 2*r)*(2*r**2 + 0*r**2 + r**2)*(-5*r**2 + 2*r**2 + 2*r**2 + (5*r - r - 2*r)*(-9*r - r + r) + 3*r - 3*r + r**2).\nAnswer: 108*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 145 - 4?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 22*q = -299. What is the remainder when (57\/6)\/(2\/8) is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 24 - 49 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = l - 18. Suppose -6*a + 138 = -l. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 63.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*o - 497*o - 487*o.\nAnswer: -916*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1326 and 72318?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -181\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01863490364 rounded to six decimal places?\nAnswer: -0.018635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 x when four letters picked without replacement from sxxxrrrsuszxusssxu.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/546 and 33\/208?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in 0.4, -0.028, 3\/22, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2401069 (base 10) to base 12\nAnswer: -979611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -126*b**2 - 92037*b - 26286.\nAnswer: -3*(6*b + 4381)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11*b - 9. Let d(k) = 5*k + 4. Let v(s) = 7*d(s) + 3*w(s). Let u be v(2). Solve 0 = i - 0 - u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 87*q**2 - 43*q**2 + q**3 - 2*q**3 - 48*q**2 - 6*q - 2. Let c be (0 - (-2)\/(-3))*6. Is 15 a factor of g(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - 230131322?\nAnswer: -230131123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18648 take away -0.25?\nAnswer: 18648.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69055 = 942*n - 935*n. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-5 + (-3 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -697, 613, 2807, 5891, 9871, 14753, 20543, 27247?\nAnswer: 34871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.9932 - 0.0068. Sort 0.3, t, -3\/8 in decreasing order.\nAnswer: 0.3, -3\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)\/l**(-6))\/(l**3\/l*l*l**(5\/2)*l)*(l**(-4)\/(l**(-1)\/l))\/(l*l**(-5\/2)*l**(-2\/3)\/l) assuming l is positive.\nAnswer: l**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:47 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -397702561*q**3 - 2*q**2 + 2*q + 394463046?\nAnswer: -2386215366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1 - -2) + -3. Let x(p) = -p**2 - 2*p + 1. Let q be x(-2). Let b be q\/1 + 16\/(-4). Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h - 51*h**2 + 50*h**2 - 2*h + 3*h + 10. Determine s(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**2 + 0 + 0)*(3*y - 3*y + 2*y)*(12*y + 8*y - 8*y) as s*y**4 + x*y**3 + i*y**2 + n + c*y and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**4 + 3*t - 9*t - t**2 + 0*t**4 - 270 + 303 + 3*t**4 as l*t**3 + h + p*t + k*t**2 + o*t**4 and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66030*u**5 + 3526*u**2 + 6*u?\nAnswer: -3961800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*o - i, 2*o + 3*i - 14 = 2. Suppose o*y + 20 = 164. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r**4 - r**3 - 2*r**3 - 8*r**4 - r**2 - 5*r + 0*r as o*r + x + i*r**4 + a*r**2 + d*r**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3\/2 - 45*r**2\/2 - 115*r\/2 - 75\/2.\nAnswer: -5*(r + 1)*(r + 3)*(r + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -236302205*i**3 + 27189871*i**2 + 11*i?\nAnswer: -1417813230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 25 = 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-10))\/(-5*3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*g = -56*g - 20. Suppose 3*b - 2509 = -g*i, -b - 1 = -0*b. Suppose 4*y - i = -0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-13\/4))\/(((g\/g**(-2\/11))\/g)\/g))**(-3\/7))**(-2\/135) assuming g is positive.\nAnswer: g**(223\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2\/3, 3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1588 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/14*1071\/255?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-9))\/(8\/60). Let d be (y\/3)\/(2\/(-4))*3. Sort 3, 4, d.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 935*r**3 - 389*r**3 - r**2 + 9*r**2 - 7*r**2 in the form y*r + f + a*r**3 + m*r**2 and give a.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151598189?\nAnswer: 151598189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 727939, 1455876, 2183815, 2911756, 3639699?\nAnswer: 4367644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 43*v + 311. What is c(10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + -1)*1*-2. Suppose 3*k - 61 - 38 = 0. Suppose 0 = x + q - k. Calculate the highest common divisor of x and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2\/5, 228, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 12 = -40*y + 44*y, -q - 9 = -4*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -448a2 (base 13) in base 9?\nAnswer: -208721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 536 + -25?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 59784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 4, z: 1}. What is prob of picking 1 p and 1 i?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -7*u**6\/45 - 103*u**5\/30 - 89*u**4\/18 + 103*u**3\/9 + 32*u**2 + 323*u + 5. Suppose z(y) = 0. What is y?\nAnswer: -96\/7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432)*-1*5 - (sqrt(432) + -4*(sqrt(432)*-2)**2).\nAnswer: -72*sqrt(3) + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138066692 a multiple of 1765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 33 (b) -1\/2 (c) 2\/5759\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-13 - -6)) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021102 - 21?\nAnswer: 10021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -23. Let z be ((-12)\/8)\/(3\/v). Solve 3 = -z*p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k = -262510 + 264047 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-2)\/2*2. Suppose u = -5*b + 27. Find the first derivative of 3*m - 3 - b + 4 wrt m.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y - 9\/2*y**3 + 18*y**2 + 0 + 1\/40*y**6 + 5\/8*y**4 + 0*y**5. Differentiate i(l) with respect to l.\nAnswer: 9*l**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87875?\nAnswer: 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = 5*o - 8*o + 2*a, 534 = 5*o + 2*a. Suppose -o*y + 125*y = 28025. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*x = -300*x + 642. Which is the closest to 2\/3? (a) 4 (b) x (c) -1\/6 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4 + 447*g**3 - 1359*g**2 + 1365*g - 456 = 0.\nAnswer: -152, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g - 2*g + 3*g to h*g + r and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven fifths of a hour?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27, -58, -139, -294, -547, -922, -1443, -2134?\n\"Answer: -4*x**3 - x**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 170?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*sqrt(2299) - sqrt(2299)).\nAnswer: 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39, -22, 21, 102, 233, 426, 693, 1046?\n\"Answer: 2*r**3 + r**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 8*t**5\/5 + 5*t**3\/3 + 4. What is the third derivative of h(x) wrt x?\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -1643?\nAnswer: -32.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 20439098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v + 20. Suppose -4*u + 2 = 2*i, -4*u = 4*i - 9*u - 30. Suppose 3*j - 9 = -2*b, 4*j + 5*b - 13 = 6*j. Sort j, i, v.\nAnswer: v, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -18. Suppose m*l - 7*l = -5*l. What is the tens digit of 3\/((-6)\/(-236)) + l\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34799 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 17 = 2*m. Let z(a) = -13 + m + a**2. Let b(k) = 2*k. Calculate b(z(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*f. Let z(i) = -i**3 - 3*i**2 + 9*i + 7. Let v be z(-6). Suppose -2*c + 4 = f, 5*w + 2*c + 12 = v. Is w at least 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*x = -1, x + 4 = -4*m + 5*x. Let a = 4 - 6. Put a, 4, m in decreasing order.\nAnswer: 4, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40291\/14 + -2885. Calculate the common denominator of u and (4848\/64)\/((-6)\/4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 54*w**2. Let t(b) be the third derivative of -b**6\/180 + 35*b**4\/8 + 2*b**2 - 11*b. Let a(l) be the second derivative of t(l). Calculate k(a(j)).\nAnswer: 864*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 15*a + 3. Let h be z(14). Suppose 2*x + 2*w - 3*w - h = 0, 5*x - 5*w - 55 = 0. 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 nearest to 0.2 in 0.02, -3, 0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -45. Let y = 4.4 - 4. Let t = -0.6 - y. What is the closest to c in 1, 5, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbdbbdbbbbbbbb. What is prob of picking 2 d and 1 b?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 2*j**2 - 2*j**2 + (-j**4 + 0*j**3 + 0*j**3)*(0 - 1 + 0) - 2*j**4 + 2*j**4 - 4*j**4 + 0 + j**4 + 0.\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.8+320\nAnswer: 318.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8752984*i**3 - 73*i**2 - 3429*i.\nAnswer: -52517904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((-2*sqrt(16))\/sqrt(8))**2 - (sqrt(200)*-1 - sqrt(2))))*-2.\nAnswer: -22*sqrt(2) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 3. Suppose -2*p = o*p. Let z = 163 - 161. Solve -3*w = -p*y - 2*y - 17, 6 = z*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 15*j**2 + 0*j**2 + 3*j - 4*j + 13*j**2.\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 8) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6924 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -3 (c) 733\/4 (d) -0.3 (e) 117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -5. Let n(y) = 22*y + 1. Is 12 a factor of n(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*z = 60 + 105, -2*y + 2*z + 114 = 0. Calculate the greatest common divisor of y and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 55, 62, 61, 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/2)\/(m\/m**(2\/13)*m)*((m\/((m**(-2)*m)\/m*m))\/m)**49 assuming m is positive.\nAnswer: m**(1213\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-632*o - 578*o + 1013*o)*(-78*o**2 - 1 - 1 + 37*o**2).\nAnswer: 8077*o**3 + 394*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*k - 18*k**2 + 12*k + (k - k**2 - k - k - 1)*(1 - 1 + 5 + (-3 - 1 + 0)*(-5 + 0 + 3) + 1 + 2 + 0) in the form i*k**2 + o + v*k and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.607503 - 480452.577.\nAnswer: -480453.184503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*n**3*x**2 + 2*f*n**2*x + 7*f*x**2 - 2*f*x - 6*n**3*x - 12*n**2 wrt x?\nAnswer: -2*f*n**3 + 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15824 is divided by 2091?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - p - 113 = 5*h, 235 = 2*h - 5*p. Suppose -3*r + h = 2*r. Solve 3*t - 3*c = 4*t - 13, -2*t = 5*c - r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*s**2 - 36*s**2 - 36*s**2 - 42*s**2.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.21491328 to four dps.\nAnswer: 1.2149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c - 20*c)*(8*c - 8*c - 8*c**2) + (-2*c**2 + 2*c**2 - 3*c**2)*(2*c + 3 - 3).\nAnswer: 122*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48 and 8.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12103289*v**2 + 12374*v - 844 wrt v.\nAnswer: -24206578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 12*d**2 + 12*d - 7. Give y(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + b - 8. Suppose -4*l - 9 = -h - 3, -5 = -l - 3*h. Let q be 15\/(l - 2) - 0. Put q, b, 5 in ascending order.\nAnswer: q, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:17 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b + 11f?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 77*t**2 - 55*t + 788. What are the prime factors of l(12)?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15414619 divided by 11?\nAnswer: -1401329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 0*f - 8*f - 16814 + 16813. Let b(i) = 17*i + 3. Let d(g) = -17*g - 3. Let t(v) = 3*b(v) + 2*d(v). Determine 3*t(q) + 7*u(q).\nAnswer: -5*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 16. Let f(c) = 5*c - 6. Give f(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 10*b + 26 = -4*q, 0 = -5*b - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693 - 3024 = -111*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110019817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + d**2 + d + 1. Let r(p) = -42*p**3 - 4*p**2 - 4*p + 1. Let n(i) = r(i) + 4*x(i). Differentiate n(h) with respect to h.\nAnswer: -114*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868 = -616*k - 17500 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 256, 385, 514?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 2 + -3 + 6. Let u = -3606 + 3610. Put -11, u, b in increasing order.\nAnswer: -11, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 2. Let t be x(-4). Let n(o) = -o**3 - 6*o**2 - 7*o + 6. What is the units digit of n(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 623 and 13261?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + o**5 + o**3 + (-2 + 3 - 2)*(26 + 17*o**5 - 26) + 3 + 5*o**3 - 57*o**5 + 3*o**3 + 55*o**5.\nAnswer: -18*o**5 + 8*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -10*z - 2. Let j(x) = -287*x - 5. What is j(t) - 3*u(t)?\nAnswer: -257*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 68, 6\/5, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 1. Let b be 13\/4 - d\/4. Determine p so that 2*p**2 - 2*p**3 + 1 + 6*p - p**5 - 3*p**4 - b*p + 0*p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24804 is divided by 4768.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l + 211 = 3*c, -l + 2*c + 50 = 0. What is the common denominator of l\/120 - (-9)\/(-15) and -39\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + (-4 - (3 + -9)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -236*n**3*p**3 - 1316*n**2*p**3 wrt n.\nAnswer: -1416*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovngptnt. What is prob of sequence vg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*q - 64304, 2*c - 32767 = 5*q - 7086. List the prime factors of c.\nAnswer: 2, 3, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1048, -2096, -3144, -4192, -5240, -6288?\n\"Answer: -1048*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**3 - r + 23*r**3 - 13*r**3 + 24*r**3 + 35*r**3.\nAnswer: 56*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -11*r**2 + r - 6. Let a(g) = -g**2 - 1. Let u(s) = -10*a(s) + 2*n(s). Let c(o) = -13*o**2 + 2*o - 3. Calculate -2*c(k) + 3*u(k).\nAnswer: -10*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {a: 1, o: 1, n: 2, w: 4, i: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/2)\/d*d**(-2\/11))\/(d*d**1)**(-2\/57) assuming d is positive.\nAnswer: d**(-3275\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-5))\/(8\/20). Suppose -37 = -5*a - 22. Suppose 0 = a*o + t*o. Solve -3*v + o*v = 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20089.11 + -20204. Let s = 13 - 129. Let c = k - s. Round c to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 19581, -18 in increasing order.\nAnswer: -18, -3, 19581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 1349.462?\nAnswer: -1349.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 484*w**3 - 30*w**2 + 56*w - 245. What are the prime factors of a(4)?\nAnswer: 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2106035\/236 + -8924. Calculate the common denominator of 46\/1239 and k.\nAnswer: 4956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 937 - 2*h**3 - 937.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 1 - 3)\/3. Suppose r*j - 3 = j. What is the nearest to 0.2 in 0.5, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-three eighths of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7811 and 192574.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86125 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p - 211. Determine f(32).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*h + 24039 = -103*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 1. Let z(d) = -1. Let f(v) = 1. Let a(w) = -f(w) + z(w). What is a(j) - 2*q(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1 = 6. Solve 0 = -t + 4 - q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237352 and 24656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7448, -3, -5, 3, -1 in descending order.\nAnswer: 3, 1, -1, -3, -5, -7448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 578887 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/149 + 161\/447. Let d(v) be the second derivative of k*v**4 - 8*v + 0*v**2 + 0 + 2\/3*v**3. Factor d(f).\nAnswer: 4*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43116984 divided by 212\nAnswer: -203382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 - -2) - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1*sqrt(204) + sqrt(204) + sqrt(204)) - (-5*sqrt(204)*-1 + sqrt(204)))*5)\/(sqrt(132)\/(sqrt(44) + sqrt(44)*-2)*4).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123517946.\nAnswer: 2, 331, 186583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -451*t + 6767. Let l be f(15). Let y(u) be the second derivative of 0 + 1\/36*u**4 - 8*u - 4\/3*u**l + 1\/9*u**3. Suppose y(k) = 0. What is k?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 959 divided by 5\nAnswer: 959\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-624)\/(-126828)*(-6)\/4. Are -1\/2 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Suppose -2*o = 2*b - 0*b - 8, -o = w*b - 9. Let v be (b + 1)\/(4 + -2). Calculate the greatest common factor of 9 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a factor of 1302470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/1401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 bigger than 14030.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6375 - -7671. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/885 and -95\/24.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37119534 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -29 - (-1 - -4)*(-6 + 7). Let k = x + 32. Solve k = 2*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llalvvwwynv. What is prob of picking 1 n and 1 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -1991*g**3 - 509694*g**2 - 8528932*g + 8568 = 0.\nAnswer: -238, -18, 2\/1991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1800 and 173970?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**5\/12 + 77473*n**4\/12 - 438917*n**3\/4 - 77473*n**2\/12 + 329188*n\/3 = 0?\nAnswer: -1, 0, 1, 17, 77456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 26 = 4*o, 151*o - 150*o = t + 2. Let d be ((-6)\/(18\/15))\/((-9)\/(-3)). Sort -5, d, o, -0.2 in increasing order.\nAnswer: -5, d, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.000984 and -29.\nAnswer: -0.028536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 20 = 2*i, 5*i - 2*c + 11 + 4 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(200) + -2*sqrt(200))*-2)\/sqrt(4).\nAnswer: 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*m + 255 = 117*m. Suppose -2*h = -179 + m. Calculate the greatest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103694 is divided by 25923.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**3 + 6*l**2 + 4. Let h(v) = 6*v**3 + 7*v**2 + 5. Give 7*f(q) - 6*h(q).\nAnswer: -q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 42606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 25\/3. Let d(u) = u**3 - 8*u**2 - u + 9. Let t be d(8). Let x be (1\/6)\/(t\/2). Sort 0.2, j, x in descending order.\nAnswer: j, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 a factor of 252536400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.597454 litres to millilitres.\nAnswer: 4597.454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 666559116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/53859 and 37\/45.\nAnswer: 807885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4302, -4, 2, -2, -2\/13, 5?\nAnswer: -0.4302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-7 - -4)\/1. What is the closest to -2\/3 in 0.5, y, -7\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 + 3*n. Let h be i(3). Let x = 33 + h. Let z(j) = 2*j**2 + 2*j - 9. What is the tens digit of z(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-2136)\/28 + (-4)\/(-14). Let r = -70 - f. Suppose -c + r*n - 6*n = -442, 4*c = 3*n + 1795. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)*x*x**(-4))\/(x**(2\/7)*x**2)*(x*x**(-1))**(-7\/2)\/((x*x**(-1\/2))\/x*(x\/(x*(x*(x\/(x**(-6)\/x*x))\/x)\/x)*x)\/x) assuming x is positive.\nAnswer: x**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 5, u: 6}. What is prob of picking 1 u and 1 i?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-10)*1*-12. Let n(c) = -4*c - 14. Let f(d) = -d - 3. Let l(m) = k*n(m) + 28*f(m). Let j(o) = 3*o. What is j(l(z))?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 8787277?\nAnswer: 8787274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 36 = -2*k. Let z be (-2 + 1)*(-1 - -3). Let q be 2 + (2\/(-1) - z). What is the greatest common divisor of k and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42508*l + 5 + 21240*l + l**2 + 21329*l to the form f*l**2 + c*l + z and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110201 + -11200002012?\nAnswer: -11210112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r**2 + 28*r + 3. Let g(f) = -5*f**2 - 14*f - 2. Give 4*a(x) + 7*g(x).\nAnswer: x**2 + 14*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 333\/2 - 883\/6. Let b = 175\/9 - q. Let f = -4772 - -9575\/2. Find the common denominator of f and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/15*((-2)\/(-10) - (-1417446)\/20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.21 + -0.2. Let t = q - -0.59. Let y = -3.4 - t. Which is the nearest to -1? (a) -3 (b) 2\/13 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 9950.\nAnswer: -99.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - 8*f**2 + 5*f + 1. Let o = 0 - 6. What is the hundreds digit of x(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, 1, 9, 0.6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 205306, 410570, 615834, 821098, 1026362, 1231626?\n\"Answer: 205264*z + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 28. Calculate the greatest common factor of s and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**2 + 14*c**2 + 24*c**2 - 11*c**2.\nAnswer: 43*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 2*t + 180 = 0. Suppose -22 = 5*o - t*o - 5*w, -3*o = 4*w - 17. Solve -z - y = -3*y - 12, -o*z + 20 = -2*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172118 is divided by 9508?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 5*f**2 + f - 9. Let w be p(5). What is the tens digit of (-27 + (-1 - w))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i + 1180 - 393 - 393 - 385. Let m(o) = 3*o - 19. Determine 5*g(q) + 3*m(q).\nAnswer: -q - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 52. Let 7*o**2 + 54*o**4 + o**2 - 4 + 2 + c*o**2 - 6*o + 52*o**3 + 18*o**5 = 0. What is o?\nAnswer: -1, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124964567.\nAnswer: 7, 13, 29, 47353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 790018 and 120276.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -5*h + 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -91 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 145?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120*101418.\nAnswer: 12170160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*c**4*s - 189*c**4 + 2*c**3*s - 78*c**2 - 29*c*s + 3*s wrt c.\nAnswer: 576*c*s - 4536*c + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 2*l. Let o(q) = -5*q**2 + 0*q**2 - 17*q + 6*q. Let t(r) = 4*o(r) + 22*x(r). Let y(a) = a**2. Calculate y(t(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 2*p + 3. Let l be z(-2). Suppose -l*m = -2*u - 4*m + 3, 5*m + 9 = -2*u. What is the second derivative of 0*c + c - 2*c**3 + 3*c**u wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**7\/3360 + o**6\/1440 + 2*o**3\/3 + 1. Let r(g) be the third derivative of p(g). Factor r(c).\nAnswer: -c**2*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5907, -6681, -6039, -3273, 2325, 11463?\n\"Answer: 118*m**3 - 1600*m - 4425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**6\/40 - 7*g**4\/24 - 27*g**2 - 129. Let n(l) be the second derivative of c(l). Find the second derivative of n(d) wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7291.615 rounded to the nearest one hundred?\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -311 + 313. Let u = -2 + 1. Sort 0.1, l, u.\nAnswer: u, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714203851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvdllvlvvyrvvvvvlvlv. Give prob of picking 1 r and 1 v.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 8*j + 6*j - 15*j - 22*j - 22*j.\nAnswer: -61*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.60535 - 2280?\nAnswer: -2278.39465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -10*x + 3. What are the prime factors of -2 - x - ((-3)\/1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53683238 to the nearest integer?\nAnswer: 7327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -347. Does 47 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 479694*a - 1918728.\nAnswer: -3*(a + 4)*(a + 159894)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2, -2\/13, 7\/12?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 16 + -6 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*i + 3*i. Let p = i - 3. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190647?\nAnswer: 3, 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b7c4b (base 14) to base 8.\nAnswer: -1543453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 15*z + 2. Let r be m(-15). Suppose -3 = r*g - 2*h - 1, 15 = 5*g + 5*h. Solve -2*u - 9 = g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 4 - (-146 + 141)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148304 is divided by 2416.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*40\/(-6). Suppose -j + x = 4*j. Suppose -y - 2*y = -2*b + 33, -j*y = -3*b + 47. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3474020084840.500111 + -3474027431139. Let y = u - -7346313. Let i = y - 14.5. What is i rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1084 - 1022 - (2 - -39).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -138. Suppose 4*t - 45 = -l, 5*l = 4 - 19. Suppose -76 = -2*a - t. Calculate the greatest common factor of a and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -161 + -3 - (9 + -104).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -167.05 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - -1. Let y = 49 - b. Solve l - 20 = -y*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 8. Let c be z(6). Let h = c - 12. Suppose h*x + 8 = 2*s, -s - 5*x - 13 = s. Which is greater: s or 2\/35?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72856784 and 254998744.\nAnswer: 509997488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1863024 divided by -1049\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2478 by -15301.\nAnswer: 2478\/15301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10841275 - -923.935.\nAnswer: 10842198.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 46*z**2 - 130*z**2 + 40*z**2 + 47*z**2. Suppose 3*h = t - 2*h - 21, t + 5*h + 19 = 0. Give x(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 8:15 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2 = t - 9, 6 = 4*j + 2*t. Let k be -1 + 2 - 4\/j. Suppose k = -b + 6 + 15. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2889*u**3 + 11138*u - 4216*u**4 + 2889*u**3 wrt u?\nAnswer: -50592*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2620657247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86173.92936518 - -1503.87225618. Let c = g + 84670. Let v = 0.057 + c. What is v rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4510430*t**2 + 5981*t - 235 wrt t?\nAnswer: 9020860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2086 - 2084. Solve 0 = -3*f + k + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2145 - 4?\nAnswer: -2152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-14412)\/(-48040)*40\/17\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/(-735)*(-169)\/(-39)*(-9)\/(-2)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l**2 - 1. Let c(j) = 3*j**3 + 16*j**2 - 3*j - 1. Let g(x) = -4*x**3 - 36*x**2 + 7*x + 1. Let b(y) = 14*c(y) + 6*g(y). Give 3*b(k) - 24*o(k).\nAnswer: 30*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-3) + -27 + (8 - 5). Let g = j + 39. What is the remainder when (-79)\/(-3) + 2\/(-6) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -236*q. Let w(m) = -m. Give g(w(s)).\nAnswer: 236*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -738.1 and -0.2?\nAnswer: 147.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 5*a + 5. Let m(v) = v**2 - 4*v + 5. Let t be m(4). Let d(p) = -3*p - 3. Calculate t*d(n) + 3*o(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 445*t - 277*t - 168*t + t**2. Let x(r) = 4368*r**2. Determine x(o(a)).\nAnswer: 4368*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 385?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.8 - 0.8. Let d = 14 - 14. Which is the closest to d? (a) 2\/13 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wukwwwwwuuwwwww. What is prob of sequence wku?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/51*(-1)\/(-2))\/(-2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 54. Let h be p(0). Let f = 120 + h. Suppose -7*r + f = -r. What is the remainder when 52 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4683*q**3 - 18*q + 3. Let g(j) = -17003968*j**3 + 65352*j - 10892. Give 3*g(u) + 10892*x(u).\nAnswer: -4668*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5085 = 10*t + 5*t. Let x = t + 963. What are the prime factors of (-2)\/(-2*4\/x)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40860, -81721, -122582?\nAnswer: -163443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - c**2 + c + 249. Is y(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42846 and 6562?\nAnswer: 728382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036894 rounded to the nearest one thousand?\nAnswer: 1037000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -689 - -378. Let z = -295 - d. Calculate the remainder when z is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/208 - 631\/1456. Suppose -6*c - 3*c - 27 = 0. What is the smallest value in 1\/6, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 29*n - 30*n - 3478 = 0, a - 1174 = 4*n. Calculate the remainder when a is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 52758, 52687, 52614, 52539, 52462, 52383?\n\"Answer: -k**2 - 68*k + 52827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 23*r**3 - 4*r**2 - 112*r - 109. Let v(q) = -15*q**3 + 3*q**2 + 70*q + 73. Determine 5*t(n) + 8*v(n).\nAnswer: -5*n**3 + 4*n**2 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5157859 rounded to 2 dps?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 8 + 10 = 2*i - 24*p + 7, 0 = 6*p + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-2 + (-72)\/(-4))*10. Let o = s + -155. Which is the nearest to o? (a) 3 (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5558? (a) -16 (b) 0.3 (c) -3\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -22*r - 8. Let l(h) = 3*h - 24. Let s be l(4). Let y(g) = -9*g - 3. What is s*y(k) + 5*v(k)?\nAnswer: -2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/28 or 3\/148?\nAnswer: 3\/148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1220 and 0.078609.\nAnswer: 1220.078609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -27?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012221 - 2021210?\nAnswer: -1001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 20 = 0, 3*r - k = -5 - 6. Let d(s) be the second derivative of -5\/12*s**4 + s + 1\/6*s**3 - 1\/20*s**5 + 5\/2*s**2 + 0. Give d(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429*v = 245*v - 736. Put 5, v, 14, 4 in increasing order.\nAnswer: v, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(176) - sqrt(11) - sqrt(11))*-2 + sqrt(1100)*2 + 5)**2.\nAnswer: 140*sqrt(11) + 2181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 531 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 307380 and 15164080?\nAnswer: 45492240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29 + -1d5d?\nAnswer: -1d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w)\/w*w**(-4)*(w\/(w*w**(-7)))\/w**3*(w**(-3\/7)*w*w**(2\/17))**(-42\/11) assuming w is positive.\nAnswer: w**(-1427\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**3*o**3 - f**3*o + 45821*f**2*o**2 - 2550*f*o**3 - 3*f*o**2 + f*o - 4*f wrt f.\nAnswer: 18*f*o**3 - 6*f*o + 91642*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1034766833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 2 - (1630 + -1608).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 374367938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137619*t + 21054*t + 42166*t + 31366*t.\nAnswer: 232205*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4671 - 1442 = -8*p + 1894 + 1799 for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = 3*u, -5*p + 41 = 5*u - 14. Let l = 5 - p. What is the common denominator of l - -2 - 19\/10 and -49\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five quarters of a century?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -43\/13, 1.6, -0.3, 0.05 in ascending order.\nAnswer: -43\/13, -0.3, 0.05, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 819504.6 kilograms?\nAnswer: 819.5046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.997471181 rounded to 3 dps?\nAnswer: 5.997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 1464010697780.\nAnswer: 1464010697779.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153845 is divided by 153845.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1100101100111001001 (base 2) to base 6\nAnswer: 12530505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2\/9 + 3820*c\/9 + 1824032\/9 = 0?\nAnswer: -958, -952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 345\/(-92)*(-2)\/(-3)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 627865424 and 10913.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + (4\/3)\/((-36)\/(-54)). Solve 0 = -t*n + 23*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**7\/140 - t**6\/72 - t**3 + t**2. Let c(p) be the first derivative of l(p). Find the third derivative of c(v) wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.93 + -0.07. Let h = -4 + 13\/3. Let l = 0.6 + 1.4. Which is the closest to h? (a) f (b) l (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -9. Let l(o) = 4*o**2 + o - 5*o**2 + 1901*o**3 - o**2. Let h be l(g). What is h rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 1 = 8*s. Solve s = -5*v - 0*v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -17.7. Let p = 0.179 - -0.221. What is the closest to o in -5, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -16. Let v = i - 3. Let j = -199 + 294. What is the highest common divisor of v and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, y: 4, c: 1, e: 6, t: 1, s: 2}. Give prob of picking 4 e.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 8. Suppose -l - 5 = -1, 4*c - 4*l = 16. Suppose u*y - 2*y - 14 = c. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*l + 90 = -24, 0 = -3*v - 4*l + 73. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fff7 - -489?\nAnswer: 10480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 138*0.821\nAnswer: 113.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -2, -4, 5, -1, -13750 in descending order.\nAnswer: 5, -1, -2, -4, -33, -13750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*1258212.\nAnswer: 125821.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 87918 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12*(-8)\/(-24) - ((-20)\/(-2) - 4). What is the nearest to 2\/3 in u, -7, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*q - 49, q = -0*q + 5. Let 8*w - 2*w**2 + v*w**2 - 4 - 2*w - 2*w**2 = 0. What is w?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, -62, -0.2184?\nAnswer: -0.2184","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 17*m**2 + 71*m + 9. Let i be u(9). What is the units digit of 15 + 3 - (-4 + (1 - i))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9098, -9098, -9096, -9092, -9086, -9078, -9068?\nAnswer: -9056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 12 = -5*o. Suppose -4*y - o*n = -0*n, -y - 5*n = 0. Solve -6 = 2*j - y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0\/q*q*q)\/(q*(q\/q**(4\/9))\/q*q)*q\/(q*q\/(q\/q**(2\/13)*q))*q*q\/(q\/q**6))**(-3\/7) assuming q is positive.\nAnswer: q**(-853\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 38 = -4*k - 5*a, 0 = -3*k - 2*a - 26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*q - 7 + 2, 3 = 5*w + 3*q. Does 10 divide w - 0 - (-5 - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00120754218 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 62 = -2*g - 80, 2 = -u - 3*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 129213433 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, -1045, -4323, -10713, -21253, -36981, -58935?\nAnswer: -88153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -10\/3, -0.8, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*h**5*o - 178*h**5 - h**2*o - h*o - h + 12758*o wrt h?\nAnswer: 2040*h**3*o - 3560*h**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1380\/(-24))\/23*28\/10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 2, z: 4, s: 4, u: 2, k: 2}. What is prob of sequence uz?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -36. Let u = 187187 - 187163.9997. Let b = u - a. What is b rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/8)\/(2\/(-8)). Let b(v) = -v**3 + 6*v**2 + 7. Let q(h) = 1. Let x(a) = b(a) - 5*q(a). Is x(d) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(-18)*y*y*y)*y**(-1\/6) assuming y is positive.\nAnswer: y**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 449 = -3*w + 1362, 0 = -2*y + 4. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -0.1 (b) 2\/5 (c) -157 (d) -2\/7 (e) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 116, -1, 771, 5, -4, -2 in decreasing order.\nAnswer: 771, 116, 5, -1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbebeebeheh. Give prob of sequence be.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -141.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r = 0. Let z = 2 - r. Suppose -2*k + 5*j + 85 = 3*k, z*k = -3*j + 49. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48256305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/10))**36*((z*z\/(z**20\/z))\/z)\/z**11 assuming z is positive.\nAnswer: z**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**4\/24 - f**3\/6 - f**2 - 8. Let s(h) = h. Calculate 2*n(z) - 3*s(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 - 4*y**2\/3 - 20*y\/3 + 16.\nAnswer: (y - 6)*(y - 2)*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 1441 + -10*6\/(-30). Suppose -2*h + 2*x + 1252 = 0, -5*x = -2*h - 201 + o. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(11\/5)*c**(-17) assuming c is positive.\nAnswer: c**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(384\/180) - (-21)\/6. Let i = 122\/873 + 172117\/123966. Let r = i - 2\/71. What is the nearest to 6 in o, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 4*l + b + 11, -3*l = b + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*x**3 - 14406*x**2 - 1193717*x?\nAnswer: 144*x - 28812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -12*x**2 + 75. Let k(l) = 35*l**2 - 224. Let a(o) = 2*k(o) + 7*t(o). Let f(g) = -g**2 + 6. What is -6*a(z) + 77*f(z)?\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -69, -120, -205, -336?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(245)*2 + sqrt(245) - sqrt(245) - 2*(sqrt(245) + sqrt(245)*2))**2 + (0 + sqrt(245) + sqrt(245))*-3 + (sqrt(245) + -1 + sqrt(245) + 0)**2 + 2.\nAnswer: 98*sqrt(5) + 4912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 454\/4 - (-126)\/84. Let d be 184\/(-20)*(-5)\/2. What is the highest common factor of d and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2181477738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 15) in base 11?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*x**2 - 5*f**2*x - 3*f**2 - f*x - 96*f - 335913*x**4 - 1 wrt x.\nAnswer: -2*f**2 - 4030956*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 2*c - 1, 9004*t - 9000*t = c - 20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t**2 - t. Let w be o(1). Suppose -w*g = -18 - 47. Calculate the remainder when g is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15010631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -1\/2*r**2 - r - 1\/6*r**3 + 0. Let n(m) = -2 + 1 + 279178*m - 279172*m + 4. Give n(i) + 5*w(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 87 = -l. Let o be 52 - 53 - (-2 + (-1 - 1)). Suppose l - o = 4*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13073*q**2 - 6526*q**2 - 6549*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 10. Suppose -25 = 5*c, 5*h - c + 4 + 1 = a. What is the units digit of h - 72\/(-2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1023 + 201 + 162 + 342)*(-2 + 2*r + 2) to the form j + o*r and give o.\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -218624 divided by 28?\nAnswer: -7808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22.7 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 49 = -2*u, -5*j - 3*u - 77 = -4*u. Let o = 9 + j. Let w = o - -8. Solve -4*a = -w*z + a - 26, -1 = -5*z - 4*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2624\/(-96))\/(-41)*(-12)\/(-104)*-1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73216804*z**2 - 588675*z - 31.\nAnswer: -146433608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -213, -325, -443, -567, -697, -833?\nAnswer: -975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 8. Suppose f - 34 = 5*w - f, 0 = 4*w + 3*f + 41. Let h = w + 2. Determine b(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202344320 (base 6) to base 16\nAnswer: -3521b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 460 = -2*r, -3*r + 895 = r - 3*o. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 169, 164, 145, 106, 41, -56?\n\"Answer: -r**3 - r**2 + 5*r + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -69166.3362 to zero decimal places.\nAnswer: -69166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**6\/(h\/h**(-1\/9)) assuming h is positive.\nAnswer: h**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15115 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d - 5*d + 10*d + 74 + (0 - 2 + 1)*(-3*d - 3 + 3) - 2*d + d + 0*d + (1 - d - 1)*(3 - 3 + 1) - d + 2*d - 2*d - d - d + 3*d + d - 2*d + 4*d.\nAnswer: 3*d + 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -171, -63, 299, 909, 1761, 2849, 4167?\n\"Answer: -z**3 + 133*z**2 - 284*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(605) + -4 + 5)**2 - -1*sqrt(605)*1*2.\nAnswer: 44*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2 - v - 1. Let s(b) = 4*b**3 - 6*b**2 + 5*b + 5. Let l(z) = 5*m(z) + s(z). Factor l(d).\nAnswer: -d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minus -38295.80472?\nAnswer: 38348.80472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16526, -63896, -142846, -253376, -395486, -569176?\n\"Answer: -15790*i**2 - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from {b: 1, s: 1, q: 1, x: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 c, and 1 d when three letters picked without replacement from {u: 5, d: 4, c: 1, i: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24804\/477*12\/(-234)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1050 and 4350.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4 - 2. Let r be (-2)\/i*1*0. Suppose -z + r*z = -1. Which is bigger: 1\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -13, -5 in decreasing order.\nAnswer: 2, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a + -f514?\nAnswer: -f4ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sms when three letters picked without replacement from sssssmsmmsmsmsssss.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t. Let y(v) = 5*v. Let i(s) = -6*y(s) + 7*z(s). Let h(c) be the first derivative of 0*c**2 + 10*c**2 + 8*c**2 - 5*c**2 - 32. Give h(i(o)).\nAnswer: -52*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 18.5. What is the nearest to -0.1 in -0.1, 0.3, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 - -4.97. Let b = c + -10. Let h = b + 9. What is the closest to -1 in h, 2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 2:53 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.002 - 6.002. Which is the third biggest value? (a) 0.2 (b) v (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 2*g - 1. Suppose q = d, q = -5*d - 6 - 0. Let x(i) = -i. Let c = -22 + 19. What is c*x(s) + q*y(s)?\nAnswer: -2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**3 - 32*i**3 + 14*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, -24, -17, 10, 63, 148, 271, 438?\n\"Answer: k**3 + k**2 - 17*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*z + 50, 39 + 27 = -5*z + 2*c. Sort 5, -4, 1, z in ascending order.\nAnswer: z, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. What is the second derivative of -l*j - 25 + 25 + 2*j**2 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 116*(2\/100)\/(-1) and -3\/11.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1 = -3*h. Let f be 9 - 1 - (-1 + h). Let j = 109 - 59. Calculate the greatest common divisor of j and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197542681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90566\/471 - 254\/157. Let q = 200 - r. Let k = -82\/9 + q. Which is the nearest to k? (a) 0.5 (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -153 + a?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*x = -147*x - 60700000. Round x to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1742733*w**3 - 13*w + 98612.\nAnswer: 10456398*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -4, -3, 1, 0.28, -14\/5?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -16. Suppose -t + 5*t + 8 = -r, -y = 3*r + 5*t. Let c = -10 - -10. Is c not equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 9, 0.06, 3 in increasing order.\nAnswer: -0.07, 0.06, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 2*s**5\/5 - 5*s**3\/3 - 28. What is the third derivative of p(u) wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1619 - 1564. Solve -11*j = -0*j - x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 4*x + 3*x**3 + (0*x + 2*x - 3*x)*(2*x**2 - x**2 + 0*x**2) - x**3 + 0*x**3 + 2*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 243*j**3 + 17*j**2?\nAnswer: 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -17243015.4.\nAnswer: -17243015.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 13*p**2 - 13*p + 5. Let d be -2*(1\/6 + 205\/30). What is c(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/3)*o)**(5\/3) assuming o is positive.\nAnswer: o**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 672011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -56 + 91. Suppose 2 = v, -4*v = -0*a + c*a - 23. Let f(h) = 1 - 1 + 2*h. Calculate f(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161546 take away 0?\nAnswer: -161546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1514600 is divided by 494?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.0932 - -0.0932. Let f(i) = i**3 + 5*i**2 - 2*i + 6. Let s be f(-5). Let m = -12 + s. What is the second biggest value in 0.8, n, m?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from {o: 1, u: 3, t: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(((-140)\/(-9765))\/((-2)\/3)). Is (m\/2)\/(99\/(-2442)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.26 + -0.4. Let a = u + 0.05. Let d = a + 0.0985. Round d to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/73670189?\nAnswer: 2\/73670189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1248\/36 + (2\/12)\/(8\/(-32)). Solve 0 = -11*w + 32 + n for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14697 and 65997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 11856 = 4*j, 2*p + 9225 - 311 = 3*j. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47700?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, j: 1, w: 2, z: 3, k: 1}. What is prob of picking 2 w, 1 j, and 1 k?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 3, -9, -16\/13969?\nAnswer: -16\/13969","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.88 + 106134?\nAnswer: 106138.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**3*o**2 + 118*h**3 - 29*h**2 + 2*h*o**2 wrt h?\nAnswer: -6*o**2 + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1508, 264, -3108, -9670, -20484?\nAnswer: -36612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhohohahhhohhh. What is prob of picking 2 o and 1 h?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.771 + -3.38. Let d = n - -0.479. What is d rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((4 - 10) + 5 + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 12:49 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 - 12*k**3 + 57*k**2 + 138*k + 72.\nAnswer: -3*(k - 4)*(k + 1)**2*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -10868.\nAnswer: 10868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -7*s + 36. Sort -5, 5, s, 0.\nAnswer: -5, 0, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 29\/116*(-8)\/6. Which is the second smallest value? (a) k (b) 0 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4\/3 + 2*y**3 + 4*y**2 - 16*y\/3 = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4392072?\nAnswer: 2, 3, 61001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a**3 - 83*a**3 + 9*a - 8*a + 0*a - 1147 wrt a?\nAnswer: -264*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -3\/7 (c) -3\/8 (d) -16 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 139*w + 174. What is c(-3)?\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5 + 2)*(5*a**2 - 5*a**2 + 3*a**4).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -156, -264, -388, -534, -708?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 104 - -664354?\nAnswer: 664460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b + 5*b - 6 + 0*b + 2*b. Let t(p) = 11*p + 17. Give -6*t(j) - 17*y(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3\/7, 15, -2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 0*x + 2*x)*(-x + 5*x - 2*x)*(3*x**3 + 2*x**3 - 3*x**3) + (-29*x - 1278*x**2 + 695*x**2 + 549*x**2)*(0*x**3 - 5*x**3 + 3*x**3).\nAnswer: 60*x**5 + 58*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 7*h - 49. Suppose -7*q**2 + 45\/4*q**3 - 49\/4*q**h + 0 + q + 7*q**4 = 0. What is q?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1585777 is divided by 8713.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 22*m - 512 - 1111 + 30*m.\nAnswer: 2*m - 1623","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -62, -165, -320, -527, -786?\n\"Answer: -26*x**2 - 25*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*q - 30, -q - 2*h + 20 = 6. Calculate the common denominator of 68\/9 and ((-12)\/q)\/(63\/(-174)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 4, 5\/4, -0.01, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 6b095?\nAnswer: -6b08a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 53*d**3 + 73.\nAnswer: 53*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 14 = -3*x, -5*y - 13 = 3*x - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 226106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5966, 10811, 15656?\n\"Answer: 4845*w + 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 + 79?\nAnswer: 78.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzbos. Give prob of sequence obs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 2020000011?\nAnswer: -2012222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6597 and 3665.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 + 20*b + 44. Let s be g(-2). Solve -21 = 2*j + 5*z, 3*j = 4*z + s + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.07 - 14.57. What is the smallest value in -3, l, 1\/3, 0.0635, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/7 and -52\/59 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5.\nAnswer: -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -217253230 divided by 21725323\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q - 2. Let m be 5 - ((-2 - -3) + 1). Suppose -m*g + 6*g + 6 = 0. Let w be x(g). Sort w, 2, -5.\nAnswer: -5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 1053096777.\nAnswer: 1053096777.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/4))**(-38)\/((r\/(r\/r**3))\/(r*r*r**(-1)*r*r)))**(-4\/9))**47 assuming r is positive.\nAnswer: r**(1786\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 87.06893 years?\nAnswer: 0.08706893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 17799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**4\/20 + s**3\/5 + 9*s**2\/10 + 7*s + 1. Factor n(p).\nAnswer: -3*(p - 3)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktkkkwwt. Give prob of picking 1 t and 3 k.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -200354, -400707, -601052, -801383, -1001694, -1201979, -1402232?\n\"Answer: f**3 - 2*f**2 - 200354*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**3 - 5*d**2. Let m(u) = -4*u**3 + 4*u**2. Suppose 4*b + 72 = -8*b. Give b*m(a) - 5*s(a).\nAnswer: -a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 401 - 253. Let j = -1032\/7 + v. Find the common denominator of j and ((-125)\/70)\/((-2)\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*o + 3, -4*o + 16 = -2*n. Let f = n - -12. Suppose 6*v - 4*v - f = 0. Calculate the remainder when 5 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*i = 19541 + 24307. What is the lowest common multiple of 396 and i?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvxrwwlj. Give prob of picking 1 j, 1 w, and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 6*d - 6. Let l be p(4). Let b be l\/(-4)*2 + 84. Suppose -r - b = -3*t + t, 5*r = -25. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1503*y*z**4 - 5804*y*z**3 - y*z**2 - 899*z**2 - 815 wrt z.\nAnswer: 36072*y*z - 34824*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 10011011000001111110101110?\nAnswer: -10011011000001111110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 3*g + 0*g)*(17 + 10 - 20 + 3 - 1 + 0 - 2 - 1 + 2 + (0 - 1 + 0)*(-2 + 1 - 1)) to the form b + s*g and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095719598 a multiple of 2529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.557 + 17.7. Let y = -0.043 + a. Let m = 29\/7 - 297\/70. What is the second smallest value in y, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20278393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 72024046.\nAnswer: 21607213.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*9\/432*14?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1683 - -1685. Let f(g) = 5*g**2 + 2. Let j(t) = -84*t**2 - 35. Calculate m*j(r) + 35*f(r).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16297040707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1365 by 105.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a - 6. Let x(z) = 24*z**2. Determine x(y(g)).\nAnswer: 2904*g**2 - 3168*g + 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-6))\/((-4)\/18). Suppose -h = -4*f + 6. What is the second derivative of 3*c**4 - f*c**5 + 2*c + 0*c - 3*c**4 wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*l + 12140 = -279*l - 9820 - 7509 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -675697915995.999998611 - -675697916376. Let q = 380 - k. Round q to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 99 = -3*d, -3*o - 5*d - 15 = -103. Suppose -4*c = -3*c - o. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let j = 1 - i. Solve -5 = -3*k + z, -2*k + 0*z - j = -2*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4712928 millennia in centuries?\nAnswer: 4.712928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -59, -159, -325, -551, -831?\n\"Answer: w**3 - 39*w**2 + 10*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 31*s + 14 + 1 - 14. Let f(z) = 9*z**2 + 6*z. Let g(b) = 8*b**2 + 5*b. Let j(u) = 5*f(u) - 6*g(u). Calculate j(l(d)).\nAnswer: -2883*d**2 - 186*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -2 (c) -0.2 (d) -0.008\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -4, -0.4, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60734\/7 - -8678. Suppose 1\/7*i**2 - t*i + 36\/7 = 0. Calculate i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**3 - m**2 + m + 1. Let r be i(-1). Suppose -2*x + 6*x - 16 = 0. Find the second derivative of 22*a - 3*a - 13*a - x*a**r wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 j, and 1 l when three letters picked without replacement from {y: 1, j: 1, l: 2, n: 2, m: 1, f: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(-4*i - i + 4*i + (i - i - i)*(85 + 33 - 30)).\nAnswer: 89*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + f**4 + 3*f + (4153*f**2 - 1756876 + 1756876)*(2*f**2 - 1 + 1) to n + t*f**2 + x*f**3 + u*f + d*f**4 and give d.\nAnswer: 8307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/13, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890594 is divided by 44519.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 24*s**2 - 16*s - 4. Let t(l) be the second derivative of l**4\/12 - l**3\/6 + l**2\/2 - l - 3. Let b(f) = 20*t(f) - u(f). Factor b(q).\nAnswer: -4*(q - 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8845 divided by 29?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 k when four letters picked without replacement from qkqkqqqkgqkqqq?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 bigger than -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o. Let t(q) = -5*q**2 - 6*q - 6. Let f(l) = -l**2 - l - 1. Let u(p) = 6*f(p) - t(p). Determine k(u(d)).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 137251333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -539*y + 3228. Determine t(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*b + 1731068 = -39*b. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 34*h - 68*h + 33*h. Let z(u) = -5 + 5 + u. What is r(z(y))?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen halves of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1623 + -1601. Solve -4 = m*r - 18*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 306, 325, 346, 369?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h - 2*y + 13 = 0, -4*y + 8 = -4*h. Which is the second smallest value? (a) h (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28976815 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 2*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.02. Let c = p - -0.5. Let b = c + 0.63. What is b rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16673163 and 95.2816.\nAnswer: -16673067.7184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 4)*(-32 - 12\/(-2)). Let n = 222 - o. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8571, -8584, -8597, -8610, -8623, -8636?\n\"Answer: -13*t - 8558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4127736 divided by -6\nAnswer: -687956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1218 and 37\/580.\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + 0*y + 2*y)*(-32639*y + 8125*y - 10187*y) in the form s*y**2 + z + r*y and give s.\nAnswer: -69402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1600)\/128*(14 + (2 - -7) + -21)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51128, 102277, 153474, 204743, 256108, 307593, 359222, 411019?\nAnswer: 463008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/1657, 0.2, 3\/2, -8?\nAnswer: 6\/1657","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11353508 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 67, 116, -4, -3 in descending order.\nAnswer: 116, 67, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 873498.3 milligrams?\nAnswer: 873498300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.721 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 11. Let n = i - 2. Suppose 0 = j + d, -n*j = 6*d - 5*d. Which is the third biggest value? (a) -1 (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c**2 - 11*c - 10. Let x(y) = -7*y**2 + 10*y + 9. Let g(m) = -6*o(m) - 7*x(m). Suppose -1 = 2*f + 3*q + 3, q = -4. Give g(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.037 (b) -2\/13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 897752773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49627534123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 103*v - 133951 = -133021 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/47, -0.2, -3, 3\/2, -2, -21 in ascending order.\nAnswer: -21, -3, -2, -0.2, -1\/47, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-20)*(-136)\/68?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, b: 13, l: 2}. What is prob of sequence bbcl?\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4*8)\/((-44)\/1034). Let z = g - 216. Let a = z + 453. Round a to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13496293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11438 + 2687907\/235. What is the common denominator of y and -117\/470?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 50 + 10. Let q = 14 - u. Suppose -2 = -3*m + 10, -q*f + 3*m = -346. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000110 (base 2) to base 5\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0 + 4. Suppose -a = 6*k - 2*k. Let b(y) = -y**2 - y. Let n be b(k). Is n at most as big as -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -166, -336, -508, -682, -858?\n\"Answer: -b**2 - 167*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-22729738)\/(-1558) + -19 + 2\/(-41)?\nAnswer: 2, 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 12:21 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 65593\nAnswer: -65591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/39)*o**(-8\/9))**(-13)*(o**(-1\/3))**5*(o\/o**1)**(2\/11) assuming o is positive.\nAnswer: o**(95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x + 9. Let v be y(-3). Let z(w) = -15*w - 1. Let l be z(-2). Let f = l - v. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zftttfzzt. Give prob of sequence ztt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/2131757 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3610, 14458, 32532, 57826, 90334, 130050, 176968?\n\"Answer: -o**3 + 3619*o**2 - 2*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -889 and -231.49.\nAnswer: 205794.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*z - 1 + 1 + 425*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) + 246\/(-21). What is the lowest common multiple of 16 and 1 + -3 - (l - 0)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13245 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -622, -1433, -2580, -4069?\nAnswer: -5906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585*w = 128*w - 1426. Solve -10 - 6 = -2*n + 4*a, 3*n = w*a + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000100010011 (base 2) in base 14?\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 3:48 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*z**6 - 8*z**2 - 47*z + 47*z wrt z.\nAnswer: 2160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 11) in base 3?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 606 and 24.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -1\/30*z**4 + 0 - 1\/15*z**3 + 0*z**2 - 5*z. Factor w(d).\nAnswer: -2*d*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6451978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142 - -513. What is the remainder when w is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 35596.54cm?\nAnswer: 355965.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -33. Let x = p + -12. What is the remainder when x is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2669*g - 137824 - 16978 = 0 for g.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008383881 to 6 decimal places.\nAnswer: -0.000838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82349.69 rounded to the nearest one thousand?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/5)\/20*20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -18 - 32. Calculate the highest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 113*b - 113*b + 105*b**4 + 0*b**4 - 4*b**4 + 3*b**4 + (-b**3 - 4*b**3 + 3*b**3)*(0 + 0 + 2*b) - b + b**4 + b.\nAnswer: 101*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -18*z + 1. Let x = 48 + -68. Let v = x + 18. Let c(b) = 234*b - 12. Let d(n) = v*c(n) - 27*a(n). Differentiate d(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47355873 to the nearest integer?\nAnswer: 6882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2669 + 17908\/7. Let q = p + 111. What is the smallest value in -4\/3, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -0.13 (c) 0.02 (d) -313 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 87 divided by 1\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 10 = 3*u, -2*u - 5 + 0 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -3120302133?\nAnswer: 3120302210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 88*k**2. Let l(w) = -2*w**2 - 4*w - 4. Let u(h) = -2*h**2 - 3*h - 3. Let j(d) = -3*l(d) + 4*u(d). Give j(s(q)).\nAnswer: -15488*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 21. Suppose 0 = x + k*d - 95, 3*x + 2*d - 295 = -2*d. Is x a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15 + (-6 - 132\/(-30))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j - 8. Let f(n) = 3*n + 4. Let c be f(0). Let l be w(c). Let i be 2\/(-4)*(-1 - -1). Solve b + i = l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4 + 2*n + 2 + n - 2. Let l(y) = -2 - 4*y + 8 + 0. Let z(b) = 5*l(b) + 7*v(b). Let p(u) = 4*u + 7. Calculate 2*p(s) - 7*z(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282547.5 centuries to millennia.\nAnswer: 28254.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 13*o + 25. Is b(-12) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95 and 209?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vovooyv. Give prob of sequence oovv.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32\/3 - -10. Suppose -5 = 3*d + 2*i, -5*d - 10 = -0*i + 3*i. What is the nearest to d in w, 0.5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*sqrt(130))\/sqrt(10).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*y - 1344*y + 7042 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 48 = -2*y. Let p(f) = -f + 28. Let d be p(y). Let b be 0 - 2\/(-24)*-3. What is the nearest to 5 in 0, d, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*a - 3 - 24, -a - 3*m = -15. Suppose 0 = -2*c + 4*z + 20, -2*z - 3 - a = c. Solve 0 = 5*h - c*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 34*i**2 + 1984*i + 709. Calculate n(-58).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 8*n - 2 - 7*n)*(3*n + 0 + 0 + (-2 + 0 + 1)*(-3 + 5*n + 3 + (2 - 6 + 2)*(-1 + 1 - 2*n))) as k*n + r + q*n**2 and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 125.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 19. List the prime factors of -7*(-1 + 34\/c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -54, -1, 0, -174, -3 in ascending order.\nAnswer: -174, -54, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4788\/1539*6\/56?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*z - 20 = -7, 1 = -i + z. Let g be (2 - i)*2\/4. Suppose 2*d = c + 9, -3*c + 7 = 2*c + 3*d. Sort g, 1, c in decreasing order.\nAnswer: 1, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 10*k**2 - 6*k - 9. Is b(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 8*z**2 + 11*z - 14. Let v be k(9). Suppose -v*f - 3 = -7. Solve 3*m = 5*g + 6*m - 19, 0 = -g - 3*m - f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/4))**(-4\/13)*q**(-3)\/q**(1\/6) assuming q is positive.\nAnswer: q**(-265\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -26*o**3 + 3*o**2 + 3*o + 2. What are the prime factors of l(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 h when four letters picked without replacement from {i: 1, m: 3, j: 6, h: 5, f: 2}.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176 + -181. What are the prime factors of 2 - (4 - (b - (-3 + -750)))?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 10, 3\/5, 7, -4 in decreasing order.\nAnswer: 10, 7, 3\/5, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*o*t**2 + 2*o - 30981*t**2 + 5463672 wrt t?\nAnswer: 36*o*t - 61962*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1008))*-2)**2*-5*4 - ((-3*sqrt(490) - sqrt(490))\/sqrt(10) + sqrt(49))\/((sqrt(77) + sqrt(77)*3)\/sqrt(11)).\nAnswer: -80640 + 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 at most -587398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1776*l**2 - 887*l**2 - 891*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 484629073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47\/2 - 24. Suppose -4*m - l = -1, -5 = 9*m - 11*m - 5*l. Put c, 0.1, m, -1\/12 in decreasing order.\nAnswer: 0.1, m, -1\/12, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 5*k**2 - k - 1. Let y be z(-5). Suppose -2*v - 2*w = w - 21, v - y*w = 16. Calculate the remainder when 21 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1118 divide 143729184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*a - 815*a + 10239 = -396 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28188 greater than 84566\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140715?\nAnswer: 3, 5, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*y - 3*f + 32 = -158*y, -f + 29 = -3*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 27342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/9 and 131\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*z - 241*z = 18 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 0 + 0*v**5 + 0*v**7 + 0*v**6 - 2*v + 0*v**3 - 15\/56*v**8 - 13\/12*v**4 + 0*v**2. What is the third derivative of n(t) wrt t?\nAnswer: -1800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*w - 134 + 127, -2*a + 2 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*h + 19*h - 39*h + 34*h + 41*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**3 - 54*u**2 - 108*u - 312. Determine s(-12).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 2. Let s be y(6). Suppose p = u - 3, -3*u - 5*p + 37 = -p. Suppose s*z = u + 9. Solve 3*n - 5*w = -1, -z*w = 2*n - 3*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 2*c**2 - 7*c - 6. Let l(k) = -k - 1. Let o be l(3). Determine y(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/900 and 89\/800.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73*c**3*m**3 + 8722*c**3*u**2 + 24*c**3 + 7*c**2*m**3*u**2 + 3*c**2*m**2*u - 78*c*m**3 - 42*c*u**2 - 37*c - m*u wrt c?\nAnswer: -438*m**3 + 52332*u**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 148*t - 153*t - 11, 0 = -4*y - 4*t - 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 560, 4452, 15006, 35552, 69420, 119940?\n\"Answer: 555*a**3 + a**2 + 4*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5913641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.74 * 15.\nAnswer: 281.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 5, k: 4, b: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o - 13. Let m(i) = 7*i - 14. Let h(s) = 6*m(s) - 7*v(s). Let g be h(1). Sort -6, 8, g in decreasing order.\nAnswer: 8, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 10:32 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -51 + 92 + 18*f - 44. List the prime factors of x(4).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 117336206?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 18129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 164846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 252 - 63 = 0. Calculate the highest common divisor of x and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453542857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 498.624 centuries in decades?\nAnswer: 4986.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160996 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/2 + (-10 - -16)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(405) - sqrt(405))**2 - sqrt(5) - (sqrt(30)\/(sqrt(6)*2) - sqrt(5))) + -5*(1 + sqrt(15)\/sqrt(3)).\nAnswer: -11*sqrt(5)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148*h**5 + 142*h.\nAnswer: -2960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -1863 (c) -1152 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(192) - -2*sqrt(192))**2 - (-4 + (sqrt(3) - -3*sqrt(3)))).\nAnswer: -4*sqrt(3) + 1731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4577 or -4738?\nAnswer: -4577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/70*3705\/513\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 - 3929*g**2\/3 - 126496*g\/3 - 1014016\/3.\nAnswer: (g - 3961)*(g + 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 20 = 5*a, 75*c + a - 440 = -66 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:51 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 > 1843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 6*d + 576. Let i be d\/(-39) - (-2)\/13. Suppose 2*c + q = -2*c + 65, 2*c - 28 = -i*q. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 31.\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 1)*(2*i**5 + i**5 - 5*i**5) + (-32*i**4 + 504*i**2 - 504*i**2)*(-3*i + 4*i - 2*i).\nAnswer: 30*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1706\/(-10) + (-6)\/15. Let b be z\/(-33) + (-4)\/22. Suppose -77 = -b*t + 3*d, -5*d - 20 = -0*d. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t. Suppose -455 = -t*f + 5*f. Round f to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 2*f**2 - 2*f + 1. Let h = 46 + -50. Let i be (1 + h)\/(10 + (-7 - 2)). Calculate l(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 532439 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-217) + 68\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -12. Suppose 14*o - 90 = v*o. What is the highest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*v**3 - 4 + 265*v**3 + 264*v**3 - 1030*v**3 + 256*v**3.\nAnswer: 13*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 723 divide 25699758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3307 < -3384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-102)\/4)\/(2*2\/(-8)). Let c = h + -35. Find the third derivative of -9*r**6 - c*r**2 - 12*r**6 + 10*r**2 + 6*r**6 wrt r.\nAnswer: -1800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -59315 - -1007?\nAnswer: -58308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3025096.6300029 + -3025097. Let z = -35.37 - -35. Let p = i - z. What is p rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470\/291 <= -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 249552 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**5\/15 - 126*l**4\/5 + 1954*l**3\/15 + 902*l**2\/5 - 1952*l\/15 - 776\/5 = 0?\nAnswer: -194, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**6\/18 + 2*b**5\/3 + 2*b**4 - 10*b**3\/9 - 25*b**2\/6 + 277. Determine r so that m(r) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**5 - l**4 - l. Let s(m) = 4*m**5 + 3*m**4 - m**3 + 5*m. Let u(c) = -5*g(c) - s(c). Factor u(p).\nAnswer: p**3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18270 by -174.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - -3*sqrt(132)*5)\/sqrt(12).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175, -0.1, -4, -209\/6, 4, -3 in descending order.\nAnswer: 175, 4, -0.1, -3, -4, -209\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**9\/f**(8\/3))\/(f**(-1\/2))**(1\/10) assuming f is positive.\nAnswer: f**(383\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2251.32148774 + 0.844?\nAnswer: -2250.47748774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101211102022 (base 3) in base 5?\nAnswer: 23310143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 5*p**2 + 5*p + 10. Let x be b(6). Let w be 20*8 - 4\/((-8)\/x). What is the greatest common divisor of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28186227 to the nearest integer?\nAnswer: 5309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, h: 1, m: 1}. What is prob of sequence imi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -326, -332, -340?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 bigger than 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.17 - -0.47. What is the third smallest value in v, -1.2, -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7208597.\nAnswer: 11, 67, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-27))\/(((-25)\/5)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53567760 and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15710563 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 94?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*f - 497, 2*i - f = i + 493. List the prime factors of i.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-72))\/(-3 - -2)*-45. Let h(q) be the second derivative of a*q**4 + 4*q - 5\/3*q**3 + 0*q**2 + 0. Factor h(u).\nAnswer: 5*u*(9*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1053, 1\/12, -3\/4, -2\/19?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjkjjjkikz. Give prob of sequence kjki.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 20. Let d be l(14). Let f = -9 + d. Sort -2, 5, f in descending order.\nAnswer: 5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 + -36. Suppose -113 = 4*c - c + 2*u, -5*c - 2*u = 187. Let b = r + c. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1 (b) 29\/1529 (c) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w - 8. Let r(i) = 13*i - 10. Let b(x) = -x. Let z(f) = -2*b(f) - r(f). Let y(j) = 5*d(j) + 4*z(j). Determine y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 + 120. What is the nearest to -0.1 in 77, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**5 + 5*t**4 - 45*t**3 - 45*t**2 = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -60, 17, 10 in increasing order.\nAnswer: -60, 2, 3, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 9 + -7 + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491131066 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8 + (-7)\/(595\/(-510))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18223663 is divided by 4555911?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11578682617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = 5*z, -4*z - 17*y - 15 = -20*y. Solve 5*j = 4*r, -3*r - 35 = -z*j + 5*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.004 - 35.004. Let o = 23.6 + x. Round o to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 3*b = -25*y - 3, y - 23 = 4*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31597 - -57987. What is the ten thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + 0.1. What is the smallest value in -17\/3, d, 0?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -aa663 (base 13) to base 15\nAnswer: -616d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 - 3 + 3 + 2 - 2*f**2 + 10*f in the form q*f + j*f**2 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -228 - -230. Solve -k*a - a - 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 5*t - 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.8 + -12.8. Let z = -102.8 + s. Let h = 156 + z. Round h to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, and 1 w when three letters picked without replacement from {n: 1, r: 3, v: 7, w: 1, s: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/11 (b) 56 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.81539 rounded to two dps?\nAnswer: -12.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 161*s - 7410 = -20*s - 2*s for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.562 - -10.562. Which is the third biggest value? (a) p (b) 0.5 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 8*b**2. Let i(m) = 1178649*m + 2. Give i(r(u)).\nAnswer: 9429192*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*a**2 + 1896*a**2 - 478*a**2 - 475*a**2 - 478*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l - 30. Let h(s) = -8*s - 31. Let f(n) = -4*g(n) + 3*h(n). Let z be f(11). Let r = -41 + z. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/5, -3\/7, 0 in ascending order.\nAnswer: -3\/7, -1\/5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 53*i. Let g(x) = -3*x**2 + 389*x. What is z(g(o))?\nAnswer: -159*o**2 + 20617*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61907*x**2 + 440512 with respect to x.\nAnswer: -123814*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-672)\/(-80))\/7*35*-1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 160395.0323 times -5\nAnswer: -801975.1615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 - -5.1. Let v = 0.051 - 124.051. Let o = v + 124.5. Put i, 0, -0.6, o in descending order.\nAnswer: i, o, 0, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from sysfywssssywfyfssssy?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s**3*u - s**2*u**3 + 75*s*u**3 + 93*u**3 wrt s?\nAnswer: -3*s**2*u - 2*s*u**3 + 75*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - 91\/(-21) - 1\/(-3). Let -4\/3*d**2 + z*d**3 + 0 + 2\/3*d = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7532696845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 5:28 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 12\/7, 48, 2 in ascending order.\nAnswer: -3, 12\/7, 2, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmkuukkkkssh. What is prob of sequence hsk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - s - 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 1}. What is prob of sequence ww?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-12)*42\/4. Suppose 0 = h + z - 8. Let a(n) = -10*n**2 - h + 1 + 11*n**2. Let b(s) = -2*s. Determine a(b(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -21392\nAnswer: -3\/21392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -555, -1, 46, -10.7, -4 in descending order.\nAnswer: 46, -1, -4, -10.7, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x - 1. Let o(q) = -37*q - 360. Let s(w) = -2*m(w) + o(w). What is s(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84527.367 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 5*j + 6*j - 4*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7684*z - 141183 = 3162*z + 2779*z for z.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46325 (base 13) to base 12.\nAnswer: -62078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008047687 rounded to 7 decimal places?\nAnswer: -0.0000805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69650594 or 3?\nAnswer: -69650594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 9*m**2 - 8*m - 12. Let l = -12 - -22. Let x be z(l). Let d = 36 - x. Calculate the remainder when d is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 90*k**2 + 3*k. Let s(z) = -33578*z - 3. Calculate s(x(d)).\nAnswer: -3022020*d**2 - 100734*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - k**2 - 3*k + (-2*k + 3*k + k)*(-2*k + 5*k - k) - 2956*k + 1466*k - 2 + 25*k**2 + 1473*k.\nAnswer: 28*k**2 - 17*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 2 + 4 + 0. Does 3 divide k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2037 - 2034. Let x(o) be the second derivative of -3\/8*o**4 + 13*o - 1\/4*o**a + 0 + 0*o**2. Factor x(b).\nAnswer: -3*b*(3*b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*b - 17 = 3*y, b = -3*y + 11. Let k be 37\/13 - y\/(-13). Differentiate k*s**4 - 1 + 38*s**2 - 38*s**2 wrt s.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -1039, -3467, -8183, -15949, -27527, -43679, -65167?\nAnswer: -92753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21914161 less than 2?\nAnswer: -21914159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -1 in decreasing order.\nAnswer: 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 136 - 2411*x - 77.\nAnswer: -2411*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-40))\/(0 + (-2)\/(-8)). Solve 0 = -c*m - 4 + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 2:49 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 702 + 530. Calculate the least common multiple of t and 35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.9 + -16. Suppose 56*l - 1384 = 1752. Which is the smallest value? (a) g (b) l (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= -559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*n - 0*n. Suppose -5*u = -a, 0 = -4*u + 3*a + n + 8. Is u > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(125) + (sqrt(125)*-2 - sqrt(125)))*1)**2.\nAnswer: -20*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30136 equal to 30137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 8:18 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 496*q - 9418. Let u be c(19). Determine f so that 0*f + 0 - 3\/2*f**3 - u*f**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/(-4) - 2) + 3. Solve -w = o, -2*o + h*o - 5*w = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -4. Let g be (8 + x)*2*(0 - 1). Calculate the highest common divisor of g and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 15330*t - 670648.\nAnswer: -2*(t - 7621)*(t - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/12, 742469, 0.11, 5 in descending order.\nAnswer: 742469, 5, 2, 0.11, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 3*c**2)*(-c - c + c) + 7*c**3 + 7*c**3 - 19*c**3 in the form w + z*c + a*c**3 + h*c**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 20. Suppose 4*p + 27 + f = r, r = -2*p + 73. Let c = -11 + 28. Calculate the remainder when r is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 196, 430, 662, 892?\n\"Answer: -l**2 + 237*l - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -135*l - 1472. Let f be m(-11). Let d be ((-15)\/6)\/((-4)\/(-8)). Let w(b) = -5*b - 10. Let a be w(d). Is f smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2150)\/860)\/(5\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -133312378*d**3*f**3 - 2643300*d**3*f**2 - 28*d**2*f**2 + f**2 wrt f.\nAnswer: -799874268*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 120, 144, 198, 294, 444, 660?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.79 - 6.79. What is the nearest to g in -2, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**4 + 10*b**3 - 13*b**2 - 60*b - 36 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -177 less than or equal to -165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47722 is divided by 194.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3234*h**2 + 3228*h**2 + 3242*h**2 - 9706*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-120)\/(-28) - 6\/21. Let x(o) = -6*o + 1. Let a(k) = 191*k + 188*k - 384*k. What is v*a(s) - 3*x(s)?\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 32271318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -4 - (16\/20)\/((-4)\/11620)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 19*r**2 + 23*r - 28. Determine a(-20).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 146 + 44 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2705 + -2705.5. Which is the closest to -1\/3? (a) f (b) -6 (c) 16 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -k, k = 6*w - 3*w + 1. Let s = -1 - -1.1. Let m = -5305 - -5305.2. Which is the nearest to s? (a) m (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 + -30 + 3 - 13) + -28?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5808716, -5808725, -5808748, -5808791, -5808860?\nAnswer: -5808961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/10)\/(26\/10 + -3). Suppose 5*q = g + 2*g + 192, t*g = q - 48. What is the remainder when q is divided by 5 - (-19)\/(76\/56)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5 - (-56)\/12) + (-1519)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**6)))\/((m\/(m**(-20)*m*m)*m)\/m*m)*(m**(1\/7))**48)**36 assuming m is positive.\nAnswer: m**(-1548\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1034\/5 + -208. Let p = z - -31\/30. What is the third biggest value in p, 0.2, 2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 + -2 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6852275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 2, e: 4, y: 4, i: 2, k: 1}. Give prob of picking 2 e and 2 i.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.896709291 rounded to two dps?\nAnswer: -20.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 13*m - 20. Let n be r(-5). Suppose 7*c - 6296 = n. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 197900 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3691947 or 2\/21?\nAnswer: 3691947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13536 (b) -3 (c) 56 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14.18*14\nAnswer: 198.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {i: 5, r: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7\/6 + -41\/3. Let i = -2\/1469 - 92539\/5876. What is the common denominator of i and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16 - (-13 - -1) - 33\/(-6). What is the third biggest value in 3\/4, -1, -537, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6217*j + 25. Is w(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = l - 5, -3*l = -2*l - i - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 7*y**3\/3 + y**2\/2 + 2*y. Calculate g(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 393529669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 123*u**2 - 122*u + 2. Determine j(122).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7205 + 7205 - (-15 + (0 - 0 - (1 - 2)))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1317*u - 19*u**3 + 1317*u.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + -3 + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377301069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 2*o**2 + 2*o**5 + (-1 + 5 - 3)*(-7*o**3 - 7*o**3 - 3*o**3)*(-3*o + 3*o + o**2).\nAnswer: -15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(12)*-1))**2 + 3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 439 + 1469. Does 48 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnv when three letters picked without replacement from npntvvbp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*z - 5*f + 4*f, -4*z - f + 5 = 0. Let a be 1 + 0\/(z\/(-1)). Suppose -3*t + 10 = a. What is the remainder when 13 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:43 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -51 (b) -1\/5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = 3*w - 20*w. Let p = w - 7. Calculate the highest common divisor of 42 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 2*h + 4. Let n be g(-5). Let x be -14 - 3\/((-6)\/4). Let k = n + x. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 13. Let u be j\/10 - 392\/(-20). Let q = u + -16. Put 4, -3, q in descending order.\nAnswer: 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 14. Suppose 2*g = -k + 4, 5*k + g = -g + 4. What is the remainder when t is divided by (k + 10\/6)\/(2\/30)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32445580 to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 10:22 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(((z*z\/(z\/(z\/(z**(8\/3)*z))))\/z)\/z)*z\/z**(-19) assuming z is positive.\nAnswer: z**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -7 + 6 + (896 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*c**2 - 41*c**3 + 14*c**3 + 27*c**3 + 87*c**4 wrt c.\nAnswer: 2088*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -37*l**2 + 6*l - 6. Let w be n(-3). Let f = w + 820. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00112137 rounded to 5 decimal places?\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -7. Let u = -643 + 643.1. Which is the nearest to u? (a) 1\/12 (b) 18 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, 58.\nAnswer: -2, 18, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 15. Suppose s*p = -4*p - 20, 0 = 4*i - 2*p - 66. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43269 + -1?\nAnswer: -43270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -3024649.\nAnswer: 5\/3024649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -19*p**3 + 2*p**2 + 3*p - 1. Let t(j) = -38*j**3 + 5*j**2 + 7*j - 2. Calculate -7*n(x) + 3*t(x).\nAnswer: 19*x**3 + x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 + -751?\nAnswer: -751.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1022220 (base 3) to base 2\nAnswer: 1111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 2*p**2 - 4*p - 3. Let k be j(-3). Suppose -4*n + 9*n = 3*s - 16, 5*n - 4*s = -k. Let z = n + 4. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -301*z + 1686*z + 75745 + 50217 - 8237 for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 0*v**6 + 0*v**4 + 1\/15*v**5 + 1\/42*v**7 + 0 + 0*v + 14*v**2 + 0*v**3. What is the third derivative of t(f) wrt f?\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3490131 * 0.28\nAnswer: 0.097723668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1746 is divided by 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31486 - 31481. Let c = -0.009 + 24.009. Sort h, 1\/3, c in increasing order.\nAnswer: 1\/3, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h + 1. Let i(p) = 7*p + 1. Let v = -78 + 171. Let w(f) = -v*f**2 + 43*f**2 + 48*f**2 + 26*f - 5. Let g be w(13). Give g*j(b) + 7*i(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.1, 68, -188, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3155320 to the nearest integer?\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - 13*i**2)*(3*i + 0*i + 2*i - 4 - 5*i + 4 + (3*i - 3*i - i)*(2 + 0 - 4)).\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -17, -1\/5, -371?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z - 50. Let g(l) = 6*l + 50. Let a(m) = 5*g(m) + 4*w(m). Let u be a(-15). Let y(n) = 2*n - 5. Let p be y(5). Put p, u, 1 in ascending order.\nAnswer: 1, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -196 + 199. Which is the closest to -1\/2? (a) v (b) 46 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 147*p**2 + 20. Let u(v) = -98*v**2 - 13. Determine -5*b(l) - 8*u(l).\nAnswer: 49*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 15*o + 5. Let n = 28 + -14. Let w be k(n). Let v = 5 + w. Which is greater: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -316 + 461. Let g = m + -152. Let l(o) = 4*o**3 - 4*o**2 + 7*o + 7. Let y(s) = 3*s**3 - 3*s**2 + 6*s + 6. Determine g*y(n) + 6*l(n).\nAnswer: 3*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 252*n**3 - 133*n**3 - 125*n**3 in the form h*n + r + w*n**3 + f*n**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 63. Determine l(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 8. Let r be b(-9). Let t be -1*1\/r + 3. Suppose 0 = 2*u + 4*w - 782, 2*u + 3*w = t*w + 779. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 545*x**2 + 7470*x - 65520.\nAnswer: 5*(x - 6)*(x + 24)*(x + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14543357, -14543376, -14543395, -14543414, -14543433?\n\"Answer: -19*c - 14543338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*l - 53, 2*l - 63 = 5*d + 44. Let m = d - -24. List the prime factors of (2 + m)\/3 - -31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5884 + -1.5884. Suppose -2*h = -7*h - 25. Are h and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*2*(-93 - -69). What is the units digit of 1402\/9 + 1 + m\/(-216)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6895 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r + 20. Suppose 2*m - r = -3*m. Suppose d + 9 = -m*d. Sort 4, 2, d.\nAnswer: d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.259739nm to centimeters.\nAnswer: 0.0000006259739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 42 - 42 = 0. Let l = 65 + -64. Let a = -6 - -8. Sort l, z, a in increasing order.\nAnswer: z, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6153, 24621, 55395, 98463, 153813, 221433, 301311, 393435?\nAnswer: 497793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 25602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.394 + -0.594. Let q = 11 + -12. Which is the third smallest value? (a) 6 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 - 122?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.447 to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 113, 187, 257?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 3*i + i)*(-4 - 1 + 4) - 2*i + 4*i - 9*i - 453*i + 692*i + 1904*i + 1246*i.\nAnswer: 3383*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = -1. Suppose -4*v + v + 108 = 5*i, v + 2*i = 37. Suppose 5*n + v = -3*m, -n - 3 - 4 = m. Which is greater: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*t - 6*y + 333, -3*t = -y - 241. Suppose -27*a + 161 + t = 0. Suppose 2*b = 5*b - 54. Calculate the smallest common multiple of b and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*t = -5*y + 10, -5*t + 2 = 4*y. Suppose 2*n + 749 - 753 = 0. Solve n = y*q - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f + 3*f)*(-6*f - 13 + 13)*(0*f**3 - 6*f**3 + 4*f**3).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 384 - 116*l**2 + 0*l + 118*l**2.\nAnswer: 2*l**2 + 384","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 206087 and 413?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -48*v + 46*v + 6, 3*o = -v - 1. Solve 21 = 3*l - 2*g, 10*l - 3*g + v = 14*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*f - 76*f = 0. Let c be (477\/530)\/(6\/4 - f). What is the closest to 2\/7 in -4, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:06 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 5*h - 114, 0 = -g - 5*h + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*x + 1076, 11*x - 7*x = 4*c + 1072. Let s = -275 - c. What is the fourth biggest value in 2\/23, -2, -1\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -104. What is the smallest common multiple of i and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1451306540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y + 43. Let d be f(6). Suppose 10*c - d*c = 393. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10790.6526s in days?\nAnswer: 0.1248918125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 (base 15) in base 13?\nAnswer: 2c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1418 times 0.547?\nAnswer: 0.0775646","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120101021200202 + 11011?\nAnswer: 120101021211220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 5*l + l)*(21 - 12 - 124)*(0 + 0 - 1).\nAnswer: -345*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11853.\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*d**2 - 50*d**2 - 5*d + 178*d**2 in the form u + l*d**2 + y*d and give l.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -82.92 and -2.9.\nAnswer: -85.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2645 = -489*v - 6157 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**4 + 14*b**3 - 35*b**2. Let n(i) = -4*i**4 - 29*i**3 + 71*i**2. Let f(a) = 4*n(a) + 9*t(a). What is the third derivative of f(k) wrt k?\nAnswer: 48*k + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101011111 (base 2) to base 6\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 10235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 25\/(-520)*-42. Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21960944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwv when three letters picked without replacement from {v: 3, w: 4, g: 9}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*s - 42 + 42)*(-7 + 3 + 0) in the form i + q*s and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 167 + -2838\/17. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7563 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3*(sqrt(800) + (2 + sqrt(800) - sqrt(800)))**2 - (0 + sqrt(800) + -2)))*-3.\nAnswer: 780*sqrt(2) + 7221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 = -186*q + 175 - 100. Factor -1\/2*b**q - 6 - 13\/2*b.\nAnswer: -(b + 1)*(b + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*s = 305*s - 1995 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k. Let i(s) = 36*s + 14370. Determine i(b(y)).\nAnswer: -216*y + 14370","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -26*o**2 + 379*o + 30. Let i be z(20). What is i rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 43 + 40 - 11. Let m be (2 - -1)*(-2)\/(-3). Suppose 5*c = -2*k + 58, o = 4*c - m*k - 26. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**4 + 2*b - 3 - 3*b**3 + b**3 - b**2 - b - 2*b**4 in the form p*b**4 + j + z*b**2 + n*b + c*b**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -83879, -82449, -81019?\n\"Answer: 1430*i - 85309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**4\/66 - u**3\/33 - 6*u. Factor x(r).\nAnswer: -2*r*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 264.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3387026 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 414 + -620. Suppose 0*v - 4*v - 2*x = -1298, 3*x = v - 321. Let z = v + h. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)*g**(-1\/4))\/(g*g**1)**(-33) assuming g is positive.\nAnswer: g**(235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/704*64\/24.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(162) + 1 - ((-3*sqrt(162) - sqrt(162)) + sqrt(162) + -4))*-1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, k: 3, l: 5}. Give prob of sequence lb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.025 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*b - 792*b - 133*b - 743*b - 51783 = 0 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -80316.28\nAnswer: -8031.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1386 by 22.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + 2*w**2 + 48344*w**3 + 0*w + 12*w**4 - 3 - 48324*w**3 in the form t + h*w**4 + s*w + r*w**3 + g*w**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(660) + (sqrt(660) - (sqrt(660) - sqrt(660)*-1)))*-4)\/(1*sqrt(192)))\/(-6*((-2*sqrt(891) - sqrt(891))*2 - (sqrt(891)*-2 + sqrt(891))*-5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k - 51 = -49*k. Let w = 1006 - k. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15731, -15740, -15761, -15800, -15863, -15956, -16085?\n\"Answer: -u**3 - 2*u - 15728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 32 = 4*l + 9, l = 2*g - 8. Suppose -4*f = -5*i + 1, 0 = l*i - 3 + 1. Let s be (-2)\/((-4)\/6) + f. Solve -s*k = -2 + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.417 + -3.583. What is the closest to 2\/3 in -0.3, 0.4, 2, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(1\/8)\/b*b)\/b*b))\/(b**(7\/6)*b) assuming b is positive.\nAnswer: b**(-55\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -137*y + 96. Let o(v) = 2*v - 1. What is o(f(x))?\nAnswer: -274*x + 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-4))\/s**0)**(-2\/3) assuming s is positive.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517504?\nAnswer: 2, 131, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 284*o**6*w + 2*o**4*w**2 + 8*o**2*w**2 - 4*w**2 wrt o?\nAnswer: 34080*o**3*w + 48*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1840 and 5155?\nAnswer: 1897040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1062 - -3?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 745 = 9*p - 1319 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -6 - -30*2. Let x = o - 35. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*s - 19*s**2 - 129*s - 135*s - 130*s - 133*s + 424*s.\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4. Let c be n + 1 + 1 - -6. Let g = 0.09 + -0.09. Is c greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*x**2 + x - 4*x - x + 0*x - 49*x**2.\nAnswer: -2*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1868750697 to the power of 1\/2, to the nearest integer?\nAnswer: 43229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.5270257 - -3.527. Round c to six decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 1. Let h be w(-1). Solve h*b = -5*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 63688331 and 63688330 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 2306*k**3 + 5*k - 13353*k**3 - 3*k.\nAnswer: -11047*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 4*u**2 + 4*u**2 + (-5*u + 2 - 2)*(-u + 2*u - 2*u) + 426*u - 426*u - 67*u**2 to i + d*u + j*u**2 and give j.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -0.1, -7, -7\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 3*r + 1. Let c be s(-4). Suppose -3*v + c + 10 = 0. Solve -t = -g + 3*g + v, 2*t + 10 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*k**2 + 777*k**2 - 254*k**2 - 295*k**2.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 43380293?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174783 divided by -203.\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 132*c - 134. Let y be d(-67). Solve y = -34*b + 18*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 30565 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/15)\/m)\/m**(-8))**36*((m**(-3))**(4\/9))**(2\/7) assuming m is positive.\nAnswer: m**(25916\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*-5*sqrt(3) - (sqrt(36)\/(sqrt(1200) - sqrt(1200)*-5))**2)*-1.\nAnswer: -30*sqrt(3) + 1\/1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 899 and 785059.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 23*p - 57. Give f(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 + 0)*(-8*g - 46*g + 5*g) + (-2 + 6 - 2)*(-3*g + g + 3*g) - 4*g + 2*g + 4*g to the form r*g + o and give r.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334720, 669348, 1003976, 1338604, 1673232?\nAnswer: 2007860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*l = -105, 146 - 53 = 2*l + 46 + 53 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22265019 - 8.\nAnswer: -22265027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-2\/5))**(10\/3)\/((z**3*z)\/z**(-4\/9)))**(5\/2))**(-28) assuming z is positive.\nAnswer: z**(1540\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*m + 905 = 0, 5*u = -4*m + m + 873. Let h = 198 - u. Sort 0, h, -2 in decreasing order.\nAnswer: h, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7358140*l**5 + 14909411*l?\nAnswer: 147162800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31672 divided by -856.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 20406283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 3.1. Let o = 585.2 - 585.2. What is the closest to o in v, -1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/2)\/((n\/(n*(((n*n**(-11\/6))\/n)\/n)\/n*n))\/n) assuming n is positive.\nAnswer: n**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/2 and 8 - 8 - ((-104)\/(-18))\/(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -968.8*-0.1\nAnswer: 96.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - c)*(-1 - 3 + 5)*(-1030 - 463 + 339).\nAnswer: -2308*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 685, 1370, 2055, 2740, 3425?\nAnswer: 4110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Let s(o) = -13*o**2 - 5. Give x(s(j)).\nAnswer: 26*j**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 970 - 930. Do l and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - s + 17 = 0, -h + 5*s = 4*h + 35. Let y(i) = -14*i - 70. Suppose -4*f = -5 + 1. Calculate the smallest common multiple of f and y(h).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3 - 21*t**2 + 10*t**2 + 12*t**2 + t. What is the units digit of k(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -252*c**3 - 6*c**2 - 24097*c wrt c?\nAnswer: -1512*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9138915 - -243511?\nAnswer: 243502.0861085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 28 = -170*i + 171*i, 0 = -2*x + 4*i + 58 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*x + 36*x + 36*x + 36*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327277868 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96418 and 4473?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.34 - -5.46. Let d = 6 - g. Which is the second smallest value? (a) -0.1 (b) 6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 76a6 - -11?\nAnswer: 7707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17b - 0?\nAnswer: 17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -30*s**3 - 41 - 9*s + 9*s + 13*s**3 + 16*s**3. Give a(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = o - 6. Suppose 8*z + o - 17 = 0. What is the third derivative of -26*w**5 + 3*w**2 - 13*w**2 + 10*w**z + 28*w**2 wrt w?\nAnswer: -1560*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*y = 13, 4*m + 5*y + 16 - 5 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 82a78 + a5?\nAnswer: 83072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1166.65 + 1166.5. Put u, -1\/126, 5 in descending order.\nAnswer: 5, -1\/126, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3133330 + 2?\nAnswer: -3133323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109181*p - 248651.\nAnswer: 109181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/20*20\/24. Let j = -1090 - -1139.3. Let z = j + -54.3. What is the nearest to -0.5 in -4, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -754.9 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7166061 and 357.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/95 and 33\/703.\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x. Let v = -6 + 6. Let a(t) be the third derivative of 2*t**2 + v*t + 0 - 1\/12*t**4 + 0*t**3. Calculate -7*a(q) - 4*k(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p + 4238. Let r(d) = 3*d**2. Give r(t(z)).\nAnswer: 243*z**2 + 228852*z + 53881932","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1333 and 6?\nAnswer: 7998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -948*d - 144717 + 17685 = 0 for d.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.9 take away -0.25893?\nAnswer: 24.15893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.05, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -62. Let d(a) = a**2 + 2*a - 2. Let c be d(s). Put 2, 3, c, -5 in decreasing order.\nAnswer: 3, 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 251*o - 14*o + 54*o - 5238 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15.94404us?\nAnswer: 0.0000000044289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from villlliiiv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - 2*i + 4*i + (3 + 5*i - 3)*(-1 + 0 + 5) to the form z*i + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137 - 135. Let a(d) be the third derivative of 1\/20*d**6 + 0*d**4 + 0 + d**j + 0*d + 1\/12*d**5 + 0*d**3. Find the third derivative of a(o) wrt o.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 1. Let j be t(-3). Suppose -j*p + p - 1 = -2*h, -4*p + 2 = -5*h. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 h when three letters picked without replacement from qhqqqqhqhqqqqqqq.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 o when three letters picked without replacement from donon.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 54. Suppose 10 = -2*f - 0*f. What is the second biggest value in m, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) - (-39)\/4. Suppose 2 = -0*c + 3*c + x, 3*c - i = x. What is the second derivative of c*g - 4*g**3 + 4*g**3 - 2*g**3 wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -368419 and 3.\nAnswer: -1105257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -736, -734, -732, -730, -728?\n\"Answer: 2*t - 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 116, 115, 104, 77, 28, -49?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 491069986 = -3*v, -5*v = q - 11663554 - 806786453. What is v rounded to the nearest one million?\nAnswer: 164000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 5*j = 5*b, 0 = -5*j + b - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10864301 divided by 1552043?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1561264 - 780632 - 780632 + 3*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 87 = 12. Let s be (-12)\/(-10) + 5\/d. What is the derivative of -1 - 2*v**3 - 1 + s wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**3 + 3*q. Let n be (-1 + 0)\/((-1)\/(-3)). Let s be c(n). What is the common denominator of (-1330)\/(-396) - 16\/s and 63\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:56 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11726 = 154*q + 13574 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**3 + 4*w**2 - 2*w - 23. What is the remainder when 51 is divided by h(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 3*d - 3. Let x be t(2). Let w be (6\/4 - 0)*-2. Let y = w - x. Solve 6*q + 16 = y*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -756407 less than -1?\nAnswer: 756406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11443933813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -19 in increasing order.\nAnswer: -19, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from yztttteztetykyyt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 4*c**2 + 8*c + 6. Let b be j(-3). Which is bigger: -26 or b?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.484 - 0.016. Sort 1\/4, h, 5.\nAnswer: h, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -125*x**2 - 30105*x - 25200 = 0. What is x?\nAnswer: -240, -21\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/50 - 748\/10. Let x = 99 + d. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttkk. Give prob of sequence kkt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*n**5 + 20*n + 26*n**5 + 6*n + 9*n**5 wrt n.\nAnswer: 560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/27)\/(3\/(-36)*2)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127278 - 127251. Factor 90*n - m*n**2 + 300 + 3\/2*n**3.\nAnswer: 3*(n - 10)**2*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - d - 3*d - 2 + (6 + 0 - 8)*(6*d - 14*d + 0*d).\nAnswer: 12*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 202103 - -14012?\nAnswer: 221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 25548 (c) 8 (d) -0.4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6812 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388482 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 164731 greater than 164731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21904*l**2 + 592*l + 4 = 0.\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 20475884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2947\/4263 + 1224\/53244?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a**3 + 4*a**2 + 6*a + 2. Let c(h) = 7*h**3 - 5*h**2 - 7*h - 2. Determine 4*c(k) + 5*z(k).\nAnswer: -2*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -914 + 154. Let z = r - -798. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -333707 + 99777503\/299. Let f = 72\/23 + z. Suppose -w = -4*w. Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h - 2*h)*(0 - 1 + 4 + (0 - 2 + 0)*(-1 + 3 - 1)) + 4*h + 9*h + 24*h.\nAnswer: 35*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2287 + 83. List the prime factors of p.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a factor of 36512022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5639284 is divided by 11973.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6115 and 7.\nAnswer: 42805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**5 + 2375*v**4 - 258110*v**3 - 5798230*v**2 + 258115*v + 5795855 = 0.\nAnswer: -19, -1, 1, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14881, -59541, -133965, -238141, -372057?\nAnswer: -535701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 3*k. Let i be b(4). Let n be (-3684)\/102 + i\/34. Let m = 50 + n. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*d**4 + 2*d**2 + 2 + 2*d**2 - 74*d**4 to the form g*d**2 + u*d + m*d**4 + z + b*d**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001000000000100111 (base 2) to base 7.\nAnswer: -12122502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51575 and 50.\nAnswer: 103150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 1\/6*z**4 - 17\/3*z**3 + 54 + 102*z + 253\/6*z**2 = 0?\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 330\/12*(-92)\/(-5). What is the highest common factor of 46 and b?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 11*w + 7. Let c(h) = h - 4. Let k be c(-6). Let f be l(k). Let t(d) = d**2 + 6*d + 4. What is t(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -14*d + 981. Let w be x(63). Solve -w = 7*l - 92 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7749*a**4 + 2*a + 8129 wrt a.\nAnswer: 92988*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12023030 (base 4) to base 11.\nAnswer: 18003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/332010 and -101\/1328040.\nAnswer: 1328040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120321202312 (base 4) to base 8.\nAnswer: 30714266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-231)\/114 - (30\/6 - 9) and -3\/10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 169750 and 0.2.\nAnswer: 33950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*c + 2*y + 16, -4*y = -2*c + 8. Let v = -0.58 + -4.32. Let b = 0.9 + v. What is the third biggest value in b, c, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 + -21. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**2 - 16*k - 31. Give q(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11896854041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 40 - 43 = -2*p, 0 = -2*p - 4*u + 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.949249650448 + 1?\nAnswer: -30.949249650448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -209 - -335. What is the smallest common multiple of w and 16?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400*n + 8334093 = 6271613 - 8031120. What are the prime factors of n?\nAnswer: 2, 11, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -426106, -426074, -426042?\n\"Answer: 32*d - 426138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ddccdcddcd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 17 + 10 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1541301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -102244*z + 204374. Determine b(2).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -1 (b) -0.3 (c) -0.07 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 7*j - 1. Let o be q(-6). Let w = -4 - -4.3. Let n = w + 0. Which is the nearest to 0? (a) -2 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 5076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -30*d**3 + 10*d**2 + 106*d - 26. Let j(b) = -6*b**3 + 2*b**2 + 21*b - 5. Let y(w) = -3*a(w) + 14*j(w). Factor y(c).\nAnswer: 2*(c - 2)*(c + 2)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10682715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 4:42 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 16 + 9. Let j = k + 7. What is the derivative of 5*u**2 + 4 - 2 - 5 - u**j wrt u?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.86 and 0.1.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3. Let m be -1 - -1*(-2 - -1). Let a be m - (-7)\/4 - 0. Which is bigger: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**4\/4 + f**3\/3 + 21*f**2\/2 - 3620*f. Let i(x) = -x**2. Calculate a(b) - 4*i(b).\nAnswer: b**2 + 2*b + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -431 - -455. Suppose 2658 = -18*s + c*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -24, -0.3, 26, -4 in increasing order.\nAnswer: -24, -4, -0.3, 0.3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48858 is divided by 175.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 9. Suppose 0 = -5*m + 10, -2*b = -4*m + 9*m - 16. Sort v, 5, b.\nAnswer: b, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10*o**2. Let v(j) = -j**2 + 6*j + 18. Let y be v(-2). Let c = -11 + 17. Let q(r) = -4*r**y - r + c*r**2 + r. Give p(q(z)).\nAnswer: -40*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4 + 176*s**3 - 184*s**2 - 176*s + 180 = 0. What is s?\nAnswer: -45, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5907721041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9 - (-2 + 0 - 0). Let k = o - -12. Let v = 56 - 49. Which is greater: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88)*1 - (sqrt(88) + 5*(sqrt(88) - 5*sqrt(88) - sqrt(88))))\/((sqrt(16)*-2*-2)\/(sqrt(98) - 2*sqrt(98))).\nAnswer: -161*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w**5 - 5605*w**4 + 251711*w**3 - 1892207*w**2 + 3051736*w - 1405628 = 0.\nAnswer: -5906\/7, 1, 7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 532 by 7.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + -6*sqrt(190)*-2)\/(3*sqrt(160)))**2 - ((-6*sqrt(190)*1)\/(sqrt(100)\/(-1*sqrt(10))))**2.\nAnswer: -95285\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 4*q + 4*q. Let b(i) be the second derivative of 4*i + 0 + 1\/3*i**3 + 0*i**2. What is v(b(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 3*b**8\/28 + 11*b**4\/6 - 25*b. Find the third derivative of w(m) wrt m.\nAnswer: 720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1438*x**2\/5 + 3153482*x\/5 - 114036\/5 = 0 for x.\nAnswer: -2193, 26\/719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 48*o + 191. Determine x(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*-6 - (sqrt(13) + 5*(sqrt(13) + sqrt(208))).\nAnswer: -44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(8432\/(-238) + 35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**2 + 2*h**2 + 0*h**2 + (2*h + h - h)*(-h + 3*h - 3*h) + (-1 + 1 - 3*h**2)*(-1 - 7 + 0).\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114895 is divided by 344.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3)*b*b**(-1\/5)*((b\/((b*b**0*b)\/b))\/b)**40)\/((b**(1\/3)*b*b\/(b\/((b\/(b**(-2\/11)*b))\/b))*b*b)\/(b\/(b*b**(1\/4))*b)**(-15)) assuming b is positive.\nAnswer: b**(-34517\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -17, 4, 0.1, 1\/7, 0.2, -5, -1\/40?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41*i**2*m**3 + 23*i**2 + i*m**3 + 3 wrt m?\nAnswer: 123*i**2*m**2 + 3*i*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-7 - -14) - 704\/44?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/7 (b) -197\/5 (c) -4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5088 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9352990 rounded to the nearest 100000?\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 614712086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 20?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiuyuk. Give prob of picking 1 i, 1 u, and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q = -14. Calculate the least common multiple of 8 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 + 20*j**3 - 46*j**2 + 24*j.\nAnswer: 2*j*(j - 1)**2*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 572 + 2.758112.\nAnswer: 574.758112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/4*46\/(-115)*-6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00104637011 rounded to five dps?\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-21)*(n\/n**2)\/n)**22 assuming n is positive.\nAnswer: n**(-506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 20 + -41 - 1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189 or 1235?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 303 and 24?\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j + 48. Let m be o(-12). Suppose -9*n + 5*n + m = 0. Let q = 78 + n. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 4, 7, 12, 19?\n\"Answer: x**2 - 2*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 43?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1006*m - 510. Let i be k(-6). Let x = i + -3877. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210121102110 - -12022?\nAnswer: -1210121020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 3, q: 1, h: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 1. Let j be (((-8)\/(-15))\/4)\/((-5)\/(-275)). Which is greater: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 2. Suppose -s*j = -0*j. Suppose j*c + 3*c - 9 = 0. Solve a + c*i - 5 = -i, -4*i = -4*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((26\/(-4))\/(-13))\/(-122))\/(278\/2224)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - (-41 + 11 + 10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3993) - (sqrt(3993) + (sqrt(3993) - (2*(sqrt(3993) - -1*sqrt(3993)) + sqrt(3993)))))\/(3*(sqrt(75)*-2 - sqrt(3))).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - a = -5*a + 18954, y - 5*a = 18954. Let m = y - 94038\/5. Let b = -147 + m. Is 0.4 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 763702204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0379 in 0.12, 1, 1\/69?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) 1.29 (c) 30 (d) -9\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-21) - 4\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6700 + 7*q**3 - 6700 - 3*q**3 - q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + (-5 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*q + 36*q + w - 5124, -3*q = -5*w - 3080. Calculate the greatest common factor of 225 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 15*o**2 + 1289*o - 21097. Determine u(-100).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163564 and 412.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*p**4 - 17157*p**3 - 179661*p**2 - 437835*p + 67725 = 0. What is p?\nAnswer: -5, 7\/48, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 - (1 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 167 + -2173\/13. Are 0 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130675805 to the power of 1\/2, to the nearest integer?\nAnswer: 11431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007807 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 74*z - 2. Suppose 5*k = 4 + 1. Let y be u(k). Calculate the highest common factor of y and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i + 4. Let t be c(9). Suppose -2*s - 1213 = -3*y, 5*y - 2*s - 2017 = -s. What is the highest common divisor of y and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -4*x**3\/3 - 975. Let v(m) be the first derivative of -7*m**2\/2 - 1. Calculate v(q(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - ((-49)\/7 + -2))*(-3)\/21.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/4 at least -326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**2*s**4 + 62859587*f**2*s**2 - 1953908*f*s**6 wrt s?\nAnswer: 72*f**2*s - 234468960*f*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 1:52 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3669\/13 + 281. Let q = -202\/143 - c. Sort 0.2, q, -2 in descending order.\nAnswer: 0.2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(-2*sqrt(143) - sqrt(143)) - (sqrt(143) - sqrt(143)*2*-4 - sqrt(143)))\/((sqrt(77)*-2*4)\/sqrt(7)) + -2.\nAnswer: -6 - sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezrntzq. What is prob of sequence zr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 32\/5)\/(1\/(-1705)). Let y = c - 61. Suppose -5*r + y = 4*x, 4*x = x + 2*r + 460. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 7:54 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30235.26 + -30236. What is the closest to 6 in q, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/51 - (-401)\/3. Suppose -14*q + 300 = -12*q. Suppose -v + q = o. What is the remainder when 78 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-14))\/(((-154)\/(-49))\/11)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -2 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -86676.69 rounded to the nearest one thousand?\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11002343332 + -2?\nAnswer: 11002343330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose -4*z + 5*n = 4*n - 12, r*z + n - 12 = 0. Suppose 3*d + d = 24. Calculate the highest common factor of z and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/15 - (-22)\/6. Suppose -p*h - 3*y + 138 = 0, -4*h + 2*y - 14 = -142. Suppose h = 2*t - 41. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*c - 70, -3*b + 5*c + 20 + 60 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 + 2*i - 3. Let a(h) be the second derivative of h**2\/2 - 20*h. Give 3*a(j) + l(j).\nAnswer: -3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 153896837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 9*q**2 - 10*q. Let z be p(-10). What is the units digit of (z - (-82 - 3)) + (0 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95*b - 1876 - 16*b**2 + 276 - 111*b**2 - 5*b**2 + 4*b**3 + 959*b.\nAnswer: 4*(b - 25)*(b - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 268 - 260. Suppose 3*m = g - 65, -x*g + 8*g = -3*m + 305. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2564 - 2566. Put -4, 2, 11, 3, s in descending order.\nAnswer: 11, 3, 2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*h + 20*h + 41 = 125. Which is the closest to -21? (a) h (b) 2 (c) 2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 5 - 1\/14*l**4 + 8\/7*l + 0*l**2 - 2\/7*l**3. Find d such that c(d) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-95 - 175 + 15)*(-2*a - 2*a + 5*a) as x + p*a and give p.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6470*m**2 - 2*m - 1. Let s(h) = h. Determine s(v(n)).\nAnswer: 6470*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**3\/3 + 6*o**2 - 14*o + 2. Let n be r(11). Is n at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089222683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 422659459, 845318913, 1267978365, 1690637815?\n\"Answer: -c**2 + 422659457*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29369 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2+-0.2322\nAnswer: -2.2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.104?\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.4782 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 7*v**2 + 3*v - 5. Calculate the least common multiple of o(7) and ((-15)\/(-6))\/((-2)\/(-8)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 w when three letters picked without replacement from vttfwwfvwtftwff?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 14\/95, 2\/29 in increasing order.\nAnswer: 2\/29, 14\/95, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22560 (base 10) to base 2.\nAnswer: -101100000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 254573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 + 43*s + 4. Let z be u(17). Let v = z - -229. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5178, -5219, -5260, -5301?\nAnswer: -5342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 74\/5 of a meter?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*g + 5*t + 2 = -275*g, -5*t = 5*g. Which is greater: g or 40.34?\nAnswer: 40.34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 43*a**2\/2 + a - 69. Give g(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134\/(-760)*-4 + (-2)\/19.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*n + 5 = -3, -5 = 5*a + 5*n. Put -1, a, -6, -3 in decreasing order.\nAnswer: a, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3651 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 6*o - 7. Let z be d(-4). What is the remainder when 7*z*20\/14 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = -3*o, 3*o + 4733 = 4*j. Let t = j + -228. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -232686*o + 173455 with respect to o.\nAnswer: -232686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + y - 20 = 2*h, 4*h - 35 = -3*y. Let z(u) = 2*u - 12. Let j be z(6). Solve -4*x - h*s - 21 = j, 9*x = 4*x + 2*s - 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*i + 20. Let u(k) = k - 3. Let d(s) = -s + 2. Let c(j) = 5*d(j) + 4*u(j). Give c(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27876592?\nAnswer: 2, 347, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 221510638.\nAnswer: 221510638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 10}. What is prob of picking 1 c and 1 j?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1520 = 219*j + 245*j + 800 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16405?\nAnswer: 5, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -4. Let z be 4\/(-2)*(6 - 8). Suppose l + 1 = z. Which is the third biggest value? (a) l (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 2 = -11*k + 2*a, -4*k + 5*a = -12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g - g - g. Let u(k) = 4*k + 30. Let l(z) = z + 11. Let b(h) = -3*l(h) + u(h). Give o(b(w)).\nAnswer: 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t. Let s(r) = -15945868*r. Give s(x(w)).\nAnswer: -31891736*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5538 + 5533. Let a = -512\/17 - -30. Put a, x, 4, -7\/6 in ascending order.\nAnswer: x, -7\/6, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.34\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - -10. Calculate the remainder when j is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63594223, -254376890, -572348001, -1017507556, -1589855555, -2289391998, -3116116885?\nAnswer: -4070030216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, c: 1, p: 2, x: 2}. Give prob of sequence pe.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -63*u - 11. What is the remainder when l(-3) is divided by 47?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s + 1. Let d be s - (0 + -3 + 2). Let i(u) = u**3 + 8*u**2 + 32*u + 95. Let x be i(-5). Solve -d*j = -6 - 4, x = -5*o + 4*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 - 73. Let n(c) = -t*c**2 + 346*c**3 + 4*c**2 + c - 340*c**3. Suppose -2*u + 1 - 3 = 0. What is n(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54626, -109266, -163906, -218546, -273186?\n\"Answer: -54640*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2842, -3178, -9198, -15218, -21238, -27258?\n\"Answer: -6020*t + 8862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2867?\nAnswer: 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-15) + (-13)\/(-5). Let f be 5\/15 - (-2)\/3. Let v(j) = j**2 + 4 - 3 - 7*j**i + f - 3. Calculate v(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -662, -1338, -2008, -2672?\nAnswer: -3330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.34 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15816 and 48.\nAnswer: 31632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 706588517 - 5?\nAnswer: 706588512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, l: 1, b: 4, g: 6}. Give prob of sequence gbg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5561 divided by 4.\nAnswer: 5561\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*u**6 + 4*u**2 - 2*u**2 - 2*u**2 + 6*u**2 wrt u?\nAnswer: -720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, -2\/11, -113, 4, 43?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*b + 92 = 0, -5*m - 5*b + 120 = -0*m. Let p be 1\/(-1) + (-290)\/5. Let z = m - p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 10.93?\nAnswer: -11.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-40))\/9*328\/738.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -0.5, -24.05, 7.\nAnswer: -24.05, -0.5, 0, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 12 = -6*w. Let z(i) = 18*i**2 + 2*i - 8. What is the lowest common multiple of 22 and z(w)?\nAnswer: 6908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**6\/180 - 2*u**5\/15 - 3*u**4\/4 - 14*u**3\/9 - 34*u**2. Factor d(f).\nAnswer: 2*(f - 14)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-56)*(-384)\/7968\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6720*o + 1123. Is n(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (((-9)\/(-9))\/14)\/((-10)\/(-4)) + 3\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i + 90. Let u be l(-17). Solve -f**3 + 194*f - u - 6*f**2 - 203*f + 1 = 0 for f.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 3*s, -74*x + s - 24 = -69*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -46 + 7. Let l = -168 + 283. Suppose -l = -3*s - 2*s. What is the remainder when s is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((20\/6)\/2)\/(5\/6). Let f(u) be the third derivative of 2*u**m + 1\/240*u**5 + 0*u - 1\/24*u**3 + 0 + 0*u**4. Suppose f(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73 and -12?\nAnswer: -876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alquadxxxlaudx. What is prob of sequence xxl?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-35) - (48\/(-20))\/6. Let w = 4 + -12. What is the biggest value in a, w, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**3*h*h\/(h\/h**(4\/9))*h*h**(-3\/4)*h*h**(-1\/3) assuming h is positive.\nAnswer: h**(193\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 5*j. Let v be x(-5). Suppose -4*a - 29 = -g, v = -2*a - 0*a - 10. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132186 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 213343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9661514 rounded to the nearest one hundred thousand?\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -18.203. What is k rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 5 - 2*x - 3 - 2*x**3 + x**3 + 0*x**3 in the form w + t*x**3 + p*x**2 + h*x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/16, -4, -0.45, -0.063 in ascending order.\nAnswer: -4, -0.45, -0.063, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 + 16*p**3 - 18*p**3 - 6*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3816516, -3816517, -3816518?\n\"Answer: -p - 3816515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 8*x + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/5 - 1558332*z**2\/5 - 3116668*z\/5.\nAnswer: z*(z - 1558334)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.73647 millilitres to litres.\nAnswer: 0.00373647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/24*129669\/21. Let s = v - -3610. Let g = -96 - -1437\/14. Find the common denominator of s and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millisecond in microseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*x + 688 - 10763 - 509. What is the remainder when 2025 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.4 - -7.8. What is the nearest to 0 in a, 1, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -12630*w + 12051. Calculate q(1).\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60756591*t**2 - 4351414 wrt t?\nAnswer: -121513182*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-15)*114\/19.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 332080?\nAnswer: -332080.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43148 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4026149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from wwnq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**2*s**3 + 75*n**2*s - 6*s**3 wrt s?\nAnswer: 6*n**2*s - 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-15) - 40316\/(-90). Let q = -448 + y. Let b = 5.04113 - 0.04113. What is the smallest value in q, -1\/4, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/8))**35 assuming o is positive.\nAnswer: o**(105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1213002013 + 10?\nAnswer: -1213002003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/91 + 2071\/5369. Find the common denominator of l and -69\/118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139752469*g**4 + 80221546*g**2 wrt g?\nAnswer: -3354059256*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f - 4. Let c be o(-2). Solve -5*z = -c*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-2059 + 2074 - (10 - (-1 - (-1 - 0))))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*v + 0*v + 98 = -150, -13 = 3*g - 2*v for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*x**3 + 6*x**3 - 9*x**3 - 10*x**3.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 16, 1\/10, 0.2, -0.4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-1*3)\/(sqrt(484)*5).\nAnswer: -3*sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3240244, -3240246, -3240248?\nAnswer: -3240250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -267613.\nAnswer: 16\/267613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4920704695.\nAnswer: 5, 1307, 752977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 + 734*g\/7 - 736\/7.\nAnswer: 2*(g - 1)*(g + 368)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 0, 0*v + 5*v - 120 = 5*h. Suppose v = 5*l - l. Suppose l*a = 5*o + a - 65, -5*a = o - 31. Calculate the least common multiple of 18 and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 12*v**3 + 3*v**2 - 2*v + 3. Let h(f) = -11*f**3 - 4*f**2 + 2*f - 4. Calculate -2*h(n) - 3*k(n).\nAnswer: -14*n**3 - n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-8 + 7 + (-9 - 1) + 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -10)*1*8\/(-6). Suppose -2*f - 2*f + d = 0. Solve c - 27 = 4*u - 2*c, 5*u - f*c = -30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 - 5*w**2 + 1 - w**2 - 6*w**2 + 19*w**2 - 274*w**2 + (-142*w + 1 + 143*w - 4)*(-3*w + 4 - 4) to j*w + d + h*w**2 and give h.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/3)\/(-1)*-3. Suppose -m = 3*t - 14, -4*m = b*t - 2 - 26. Is 16 a factor of (m\/(-3))\/((-22)\/1782)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + (5 - 8))*4\/6. Solve 5*z + 13 = 3*o, o - 7 = j*z - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 20 + 0 + 106 + -364 + 358?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**2)\/f*(f\/(((f\/((f**0\/f)\/f))\/f)\/f*f))\/f*f*f*f**(-1)\/(f*f\/(f*f**(-2\/5)*f*f)) assuming f is positive.\nAnswer: f**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a = 38*a - w + 30, -a + 5*w = 126 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*u + 76*u + 3*n - 4 = 0, 12 = -3*u - 3*n for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 31*j - 1245. Calculate c(-29).\nAnswer: -2144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 3*q = 21*r, 5*q + 51 = 4*r. Let a(j) = j**2 - 6*j - 26. What is a(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/22)\/1)\/(390\/(-780)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 181399106.\nAnswer: 1451192848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.9, 51, -0.4, -2, 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3295137.\nAnswer: 3, 1098379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105754 + 107182 = -357*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 6 + 2*i**2 - 1 + 4*i - 5 - 4*i**3 - 2*i**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5101 + 1324?\nAnswer: 6425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/416 and -29\/528536?\nAnswer: 27483872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 44043 + 865215 = 18*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*i + 1967 + 7005, 20 = 5*i. Suppose b - n = -8*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(41 - 4424*s - 7809*s - 39 + 267*s).\nAnswer: 23932*s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - -226) + 5\/((-10)\/4). What is the smallest common multiple of 0 + w\/6 + 61\/(-366) and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4623.308 millimeters?\nAnswer: 4623308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 10 (b) 20 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 257 - 40 + a.\nAnswer: -4*a - 297","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**4\/3 + q**3 - q**2 + 10*q. Let s(o) be the first derivative of m(o). Find the first derivative of s(n) wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 889*d + 440*d + 424*d + 1 + (69*d - 121*d + 64*d)*(-2*d + 0 + 0) in the form u*d**2 + s*d + h and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/(-60)*(-219987)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 4*t - 5, 12*t = 14*t + 4*z + 92 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 761655341 to the power of 1\/2, to the nearest integer?\nAnswer: 27598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7626*o*q**3 + o + 993202*q**3 with respect to o.\nAnswer: 7626*q**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3930 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/21546 and 7\/3.\nAnswer: 21546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*l + 10, -3*l + 1 - 6 = i. What is the third derivative of -11*u**i - 8*u**5 + 11*u**4 - 7*u**2 wrt u?\nAnswer: -480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1984 divided by -2.\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25.0608ug?\nAnswer: 0.0000250608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 11*f**2 + 4*f + 12. Calculate v(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6500 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10*h - 28. Suppose -2 + 54 = -4*s. Let l be p(s). Suppose -3*v + l = -2*o, 3*o + 34 = v + o. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s + 4. Let v be t(-8). Let q(l) = -3*l**2 + 6*l - 5. Let y be q(4). Let h = v - y. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -11 (c) -207090\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3744 - -3788) + (-1 - 18 - 0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.153*-0.2.\nAnswer: 5.6306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -730, -157, 416, 989, 1562, 2135?\n\"Answer: 573*o - 1303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.9 minus 24663?\nAnswer: -24281.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4045*l + 4 - 4057*l.\nAnswer: -12*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m - 4*m. Suppose -v = -3*x - 20 + 114, -2*x = m*v - 48. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/((-36)\/(-60))*(-225)\/(-3)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3208565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 + -131. Put 0.01, 2, f, -2 in descending order.\nAnswer: 2, 0.01, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, m: 1, y: 1, l: 1, r: 3}. Give prob of picking 2 r, 1 w, and 1 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - 2.3. Let h = k - -0.9. Sort 3, 5, h in increasing order.\nAnswer: h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -378, -17709, -35038, -52365, -69690, -87013?\nAnswer: -104334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1618, 3277, 4920, 6541, 8134, 9693, 11212?\nAnswer: 12685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 215 + 170 = 0. Suppose q*x - 10 = -0*x. Solve 0*o - 4 = -2*o + 2*i, 0 = 4*o + x*i - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 3 + 3)*(0 + 2*c + 0) - 160*c + 203*c + 169*c)*(-2*c - 2*c + 3*c)*(-47*c + 87*c - 38*c + 5) to the form f*c + k*c**3 + x*c**2 + z and give x.\nAnswer: -1070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21\/2*z - 72 + 1\/4*z**2 = 0. What is z?\nAnswer: -48, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1\/4)*p)\/p)\/(p\/(p**(1\/6)\/p*p))*(p**5*p)\/p**1)**(-10\/11) assuming p is positive.\nAnswer: p**(-295\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -267.\nAnswer: -7\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 25, 34*z - 2*g - 310 = 30*z. What is the lowest common multiple of z and 110?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -3*q - 4, -4*q - 314*r - 12 = -310*r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -8. Suppose 222 = f*k + 54. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 + 63 = 76*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-38)*(8 - 21) and 42\/5?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-30) - (-7)\/3 - 1. Let h(c) = 74*c - 3. Is 24 a factor of h(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 14 + 6 = 0. Let w be 1\/(0 - (-1)\/d). Suppose 0 = 5*f + 4*z - 90, 2*z + 32 = -2*f + w*f. Calculate the greatest common factor of f and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + d + 19, -7*s - d = -115 + 130 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - 4)\/(-84)*(-1 - 141) and 5 + -3 - (-1071)\/(-342)?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54916*b**3 + 254*b**2 - 36 wrt b?\nAnswer: 329496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-5) + (-1794)\/(-1495)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/537 and 57\/138398504.\nAnswer: 415195512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -1431 in descending order.\nAnswer: 7, 4, -1431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - -109. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r*r**2)\/r)\/r))\/r*r)**(-41) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + (2*sqrt(11) - sqrt(11))))**2.\nAnswer: 128*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -11*k - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 149 - 12*y**3 - 73.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (20 + -38 - -15)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*x - 5*x + 10*x)*(-1 - 3 + 5) - 1 + 0 + 2*x + 0.\nAnswer: 22*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 120598429 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:28 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 266005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by (135\/25)\/((-1)\/(-5)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1177343 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388961 is divided by 305.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*r, 0 = -5*r - 5. What is the derivative of u**2 + 0*u**p + 3941 - 3986 + 8*u wrt u?\nAnswer: 2*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -430, -3, 18, -5 in descending order.\nAnswer: 18, -3, -4, -5, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 8) + (-20 - -15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - u = 16, 36 = 4*g - 5*u + 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + -50?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163834 and 11957174?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3 - 2*b)*(23 - 27 - 55).\nAnswer: 118*b - 177","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 129104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/2, 87\/2, -2\/27, 2, -6\/19, -0.4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001344123 rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**5\/20 + m**4\/4 - 3*m**2. Factor p(g).\nAnswer: 3*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84419\/52 + -1623. Calculate the common denominator of y and -47\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osfoossfooofoosof. What is prob of picking 2 o and 1 f?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8381983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 54*k**2 + 43909*k - 305059. Calculate u(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 4 = 3*y + 259, 28 = x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 4*r - 6*r. What is the common denominator of r\/10 - 16\/(-12)*3 and 97\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 - 8*a - 9. Let g(j) = 4*j**2 + 6*j + 6. Let q(o) = 5*b(o) + 7*g(o). Suppose -4*z + 3 = -1. What is the units digit of q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -256*t**5 + 29821760*t**4 + 111834576*t**3 + 72692732*t**2 + 17241248*t + 1397940 = 0.\nAnswer: -3, -1\/4, 116495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -732, -167, 1698, 4857, 9304, 15033, 22038, 30313?\n\"Answer: -l**3 + 656*l**2 - 1396*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1082900 divided by -68\nAnswer: -15925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -215, -322?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28 + 30.72. Let p = 7831.41 - 7800. Let a = h - p. What is a rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 115\/(-15) + (15 - 8) + 8\/12. Solve -62*z - 225 - 333 = s for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367159 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, o: 1, v: 1, i: 5}. Give prob of picking 1 o, 2 f, and 1 v.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5 + sqrt(931) + 2*sqrt(931) + sqrt(931) + sqrt(931))**2 + (-1*(sqrt(152)*-1 + sqrt(152)))\/sqrt(8)).\nAnswer: -116500 + 1750*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let d(u) be the third derivative of -43*u**5\/60 - 11*u**3\/3 - 2*u**2 - 13*u - 11. Determine j(d(s)).\nAnswer: -43*s**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181 - 181 + 36*c to i + a*c and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thz when three letters picked without replacement from wzwtthwwhwtwhhh?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308 divided by 44.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 14*x - 17. Let v be j(13). Let i be ((-5)\/(-10))\/(2\/v). Let t = -33\/2 - -235\/14. What is the second smallest value in t, 3\/5, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -280.9 - 15.1. What is the closest to 2\/3 in d, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jykpyjjjk. Give prob of sequence jk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(-1506 - 1403 + 2857 - 31*w) to l*w + j and give j.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -24. Let r = l - 7.3. Suppose 4*i - i + 3*y = 18, 5*i - 2*y - 2 = 0. Sort i, r, -1 in ascending order.\nAnswer: -1, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*p + 4*m - 4, -18 = -2*p - 4*m. Suppose 77 = p*a - 148. Let x = a - -5. What is the highest common factor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193845.\nAnswer: 3, 5, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 + 13 + 6\/2 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*5\/((-75)\/(-155)). Suppose -y + 117 = -h. List the prime factors of y.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + n**2 - n**2)*(-3*n + 3*n + 2*n**3) + n**5 + 3*n**2 - 3*n**2 + (-n**2 + n**2 + 2*n**2)*(4*n + 2*n**3 - 4*n).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 33*r - 68. What are the prime factors of a(41)?\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -2 + (6 + -5 - (-12 + 0 - -50))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2)\/6*(-286812)\/(-6168)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -12) + -4 + 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -7) + 20 + -7 + 5 + (-1 - -65)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 117 - -225?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1647.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u + 0*u - 16*u)*(0 - 1 - 1)*(-3*u + 3*u + u)*(-3*u + 0*u + u).\nAnswer: -112*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30937*b**3*s**3 - 52*s**3 - 282*s**2 - 2*s + 2 with respect to b.\nAnswer: -92811*b**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9530*v + 5938*v + 285762 - 1337586 for v.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 137.43 - -0.57. Let k = l + -135. Let s be (174\/24 + -7)\/((-6)\/(-8)). Which is the nearest to -1\/4? (a) k (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from ppnnnppnpnkkpkpp?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14140, 14140, 14130, 14104, 14056?\nAnswer: 13980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 631083843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - 29) + 1 + (9 - (-4 - 1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o = 4*v - 33*o + 152, -4*v - 140 = -o. Let k be -128*(11\/(-28) - 9\/v). Factor -k*u - 96\/7*u**2 - 4\/7*u**4 + 512\/7 + 40\/7*u**3.\nAnswer: -4*(u - 4)**3*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 10:29 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56815?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*z - z - 5, 0 = z - 5. Find the second derivative of -v - 2*v - 40*v**5 + 35*v**u wrt v.\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202555185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1824 and -0.074.\nAnswer: -1824.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 5*n - 40, -4*n + 59 - 14 = 5*u. What is the remainder when 6 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**3 - 4173*h**2 - 2*h - 4400629?\nAnswer: 6*h**2 - 8346*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - -0.65. Let y = w - -0.09. Let b = y + 2.06. Round b to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1645\/6508 - 9\/3254. Which is the nearest to o? (a) -7\/45 (b) -0.5 (c) -4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81230 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 + -91. Sort -4, -5, b, -0.3.\nAnswer: -5, -4, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*q**3 + q**3 + 0*q**3)*(1 + 2 + 5) + (-9*q**2 - 31*q + 31*q)*(2*q - 7*q + 0*q) to the form g*q + d + m*q**3 + w*q**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 345 = -u. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**4 + 150*s**3 - 578*s**2 + 714*s - 284 = 0.\nAnswer: 1, 2, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -1\/6*j**3 + 0 + 55\/12*j**4 - 10*j - j**2. Is 7 a factor of b(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72782 times -24.3\nAnswer: -1768602.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0, -3, -58, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*p - 13 = -5*o + 78*p, 0 = 5*o - 2*p - 11. Solve 4*y - 3 = -3*x + 2*x, -5*y - o*x - 5 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 115 + 17. Suppose 4*p + 4*m - v = 0, m - 3*m + 4 = -p. Calculate the greatest common divisor of 30 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**4\/12 - h**3\/6 - h**2 + 2*h. Let g be (17 + -17)\/(1 - 0). Let j be (0 - g)\/(-4 - -6). Determine n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -12*m**3 - m**2 + 2. Let f = -13 + 11. Is p(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-nine sixths of a decade?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1269 = -c + 62*n - 60*n, -3*n - 6401 = -5*c. What is the smallest common multiple of 55 and c?\nAnswer: 14135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 188058129710406\nAnswer: -188058129710411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196768 and 66860872?\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1445 + -1524. Is i less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = -5*z + 114, -4*z + 76 = 3*o. Solve 8*l - 30 = -5*x + 3*l, 4*x + 3*l - z = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 679 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 259*q**2 - 7 - 130*q**2 + q**3 - 129*q**2 wrt q?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 42 = -3*p, 3*a = 6*a - 3*p - 42. Suppose 12*r + 24 = 18*r. Let j be 14\/(r\/(-7)*14\/(-12)). Calculate the greatest common divisor of a and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -598955\/159 + 3767. Let y = -1715.6 - -1716. Which is the biggest value? (a) y (b) 2\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*v - 4*j, -4*v + 2*j + 12 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-5 + 3) - -2783986. Let c be 10\/(-15) + o\/12. Let m be c + ((-10)\/(-4))\/(55\/44). Round m to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 52?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.1. Let o = 0.31 - 0.11. Let m = d + o. Which is the third smallest value? (a) -0.2 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxoo when four letters picked without replacement from {o: 2, f: 1, n: 2, m: 3, u: 1, x: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3354 and -7\/88322.\nAnswer: 264966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12251 - -17589. What are the prime factors of p?\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*i + 15. Let c be 2\/((-131)\/66 + 2). Let x = -90 + c. Calculate the remainder when x is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -959 = -3*j + 94. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 870184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13006*a*b*q**2 + 48*a*q**3 + a*q**2 - 15*a - 3*b*q**3 - 3*q**2 - 2*q with respect to b.\nAnswer: 13006*a*q**2 - 3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/49 and 121\/266?\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 - -90.81. Let w = 2.1731 + d. Round w to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132310 + 33131?\nAnswer: -33113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -256 - -805. What are the prime factors of o?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27450076 is divided by 1715629?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 316522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48) - sqrt(288)\/(sqrt(6) + sqrt(6)*-3))\/(sqrt(40)\/sqrt(5)*2))\/(5*(sqrt(288)*-2 + sqrt(2) - sqrt(72)*2)))**2.\nAnswer: 27\/490000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 903 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -330*(85\/25 + -3). Let z = v + 226. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23018538 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 34\/(-21))\/((-20)\/(-30)). Is r less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**3 + 15*j**2 + j + 12. Let u(l) = -3*l**3 + 10*l**2 + l + 8. Let r(d) = -5*o(d) + 8*u(d). Is 4 a factor of r(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/45*195\/3. Find the first derivative of -2 + r*g - 6 - 6 + 12*g wrt g.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + (-51)\/(-30))*(-541)\/(-2). Let u = -81 - x. Calculate the common denominator of 67\/60 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*w**6 - w**5 - 3*w**2 - 11?\nAnswer: 5280*w**3 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 3*b - 2*b + 5*b - 3*b - b + (0 + 4 - 2)*(3*b - 4*b + 2*b) + (0*b - b - 3*b)*(2 - 5 + 2)*(1 - 4 - 1).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = 14*v + c - 7, -5*c + 10 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009734 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*n**3 - 1141 + 100*n**2 + 1141 + 59*n**2 + 29*n**3.\nAnswer: 2*n**3 + 159*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10528 + -5772. What are the prime factors of x?\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515*a + 77270 = -59*a + 24374. Calculate the remainder when 16239 is divided by a.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 5*c**2 + 6*c + 3. Let u be h(-6). Suppose 1837 = 4*v + u*m + 197, 2*v = -3*m + 826. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 8*2\/(-6)*(-5 + 4).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14942360 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 232972581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -258c (base 13) to base 7.\nAnswer: -21420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -5, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123348*c - c**2 - 123348*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/7 + 1\/21. Let k = 3 + -3. Which is the second biggest value? (a) x (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. What is the units digit of (-765)\/(-36) + y\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 11896, -6.\nAnswer: -6, -0.8, 11896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n + 3. Let t be r(14). Let g = -16 + 86. Let d = t - g. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -111650458?\nAnswer: 111650453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.98448*-121.\nAnswer: -482.12208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/9? (a) 0.5 (b) 34 (c) -0.54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:13 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 36823, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 7569 = 20*x - 376. Let o be 54\/7*14\/1. Let k = x - o. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**6\/1800 - r**5\/300 + r**4\/120 + r**3\/3 + r. Let p(m) be the second derivative of l(m). Factor p(u).\nAnswer: (u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -8. Let i be (-3)\/9 + s\/6. Let y = 0 - i. Let g(c) = -c**2 - 4*c - 5. Determine g(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 12. Let n(d) = d - 6. Let u(t) = -3*a(t) - 5*n(t). Let i be u(11). Find b, given that 2*b**2 + b**2 - i*b**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1804998, 3609952, 5414906, 7219860?\nAnswer: 9024814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (728\/42)\/13*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -1. Let y be w\/6*21\/(-14). What is the tens digit of ((0 - y) + 1)*-32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 22 = q - 9*q + g, 14*q - 13*g = 3*q + 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*z + 241 - 87 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 81453750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -25, p = -3*f + 39 + 39. Solve p = -j + 65 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**4 + 37543411*c**3 + 34169275*c**2 - 3*c wrt c?\nAnswer: -48*c + 225260466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 6:11 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 14. Suppose g = -2*w + 28, -5*g + w - 3*w = -108. What is the greatest common divisor of g and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 452 + 452 = 928 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 20738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 153 (b) -2\/5 (c) -7 (d) -6 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47918 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 2:05 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 655024, 655019, 655010, 654997, 654980?\n\"Answer: -2*o**2 + o + 655025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1252 - -0.4165. Let d = -27.3213 + p. Round d to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163709105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 14, f: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-24) - 4\/6. Let u be (1 - -13) + (r - 1). Suppose c + 0*c = u. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u - 2*u)*(2*u + u - 4*u) + u - u + 2*u**2 - u**2 + u**2 - 2*u**2 + 0*u**2 + 0*u**2 - 2*u**2 + (0*u + 0*u - u)*(u + 12*u + 2*u).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10012012001 (base 3) to base 5.\nAnswer: 4002310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = c - 26. Let s(l) = -l**2 - 5*l - 3. Let p be s(-3). Suppose -c = -p*u + 41. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 3*p**3 - 3*p**3 + 1 - 1 - p**5 + (p - 2*p**2 - p)*(-3 + p**3 + 3) - 71198*p**2 + 71198*p**2 + 1000*p**5.\nAnswer: 995*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 613 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1020064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {v: 8, a: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104384*a**5 - 2*a**4 - 95*a**2 - 5094 wrt a.\nAnswer: -6263040*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4 = -4*t, 0 = -5*t - 0*t - 5*p - 35. Let s be 0\/(-1 - 3\/9*6). Which is the nearest to 1? (a) -2\/21 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, f: 5, v: 4, d: 1}. Give prob of picking 1 f and 1 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 3 - 23 + 0*z + 15 + z + 7. Let g(j) = 3*j**2 + 2*j - 9. Give 4*g(s) - 9*v(s).\nAnswer: 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 747\/18 - (-768)\/5760*45\/(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 102626 = -5*b, -3*v - 4*v + 2*b + 179574 = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**3 + 105180*j**2 - 727607625*j + 1648940731250 = 0. Calculate j.\nAnswer: 5386, 7825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 60899.\nAnswer: 9\/60899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 181769603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 75 = -14*l - 5*w, 4*l = -5*w + 75 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(95)*4 + sqrt(95)) + -2*-5*sqrt(95))\/(-6*1*5*sqrt(320)).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144980 and 15?\nAnswer: 434940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555488907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1566 and 887706?\nAnswer: 25743474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21996?\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/65 and 67\/9.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 17, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.19044 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 8*a**2 - 26662*a - 213305. Calculate h(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmkscms. What is prob of picking 2 s and 1 k?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 25 + 11)*(2 - c - 2) + 5*c - c - c to k*c + a and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - -1 - 6)\/4. Let l(j) be the first derivative of -1 - j - a*j**2 - 2*j**3. Determine l(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 8469324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 - 2*r**3 - 2*r**3 + ((-3*r + 4*r - 3*r)*(-2*r + 2*r - 2*r) + (-1 + 2*r + 1)*(0*r + 0*r + r))*(-4*r + r - 12*r).\nAnswer: -94*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 8:18 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -279 - -75. Let r = t - -204. Let h be (24\/(-220))\/(3\/(-10)). Is r greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 - -104. Suppose s - 4 - 1 = -i, 0 = -i - 3*s + 9. Suppose 0 = -8*j + i*j. Sort j, g, 1.\nAnswer: j, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 468536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -9\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 rounded to zero dps?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - i - 3. Let k(o) = -8*o**2 - 124*o - 8. Determine -k(x) + 3*w(x).\nAnswer: 5*x**2 + 121*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**3\/6 + 1841*j**2\/3 - 736*j\/3 = 0. Calculate j.\nAnswer: 0, 2\/5, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 33, -4, -10, 35?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16374 times 97\nAnswer: 1588278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/6 and ((-50)\/(-5))\/(24\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-7)*r)\/(r*r\/(r\/r**(-8)*r*r)*r*r)*(r\/((r*r\/r**(7\/2))\/r)*r)\/(r**7*r*r))\/((r*(r*r\/r**0)\/r)**(3\/2)*r**(-4)\/(r*r**(2\/13)*r)) assuming r is positive.\nAnswer: r**(-9\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (29\/87)\/((-9)\/56).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -10122222110?\nAnswer: 10122222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122476 is divided by 1376?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 2*r + 5. Let w be l(0). Let s = -0.1 - 1. Let t = s - 3.9. Which is the smallest value? (a) w (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 10) to base 7\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 0, -0.2, -0.15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-84)\/3*46\/(-4). Suppose 4*x + 251 = 4*p + 643, 4*p = -3*x + r. What are the prime factors of x?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 + 41*z + 11*z**2 + z**3 - 24 - 11*z**2.\nAnswer: -2*z**3 + 41*z - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-2)\/(-137))\/1)*75817\/75817.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - g + 41 = -79, -5*g - 150 = -5*t. Let x be (-5)\/(t\/8)*5. Is (-106)\/(-3*x\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -219050?\nAnswer: -2\/109525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/45 + (-4)\/(-20). Let y = 0.019 - -9.281. Let n = y + -9. What is the nearest to n in o, -5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0*o + 2 + 0*o)*(4 + 0 + 0)*(-4 - 3 + 5)*(9*o + 5*o + 3*o).\nAnswer: 272*o**3 - 272*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32215211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*x + 2)*(0*x**2 - 3*x**2 - 8*x**2 + (-x + 4*x - 5*x)*(-11*x + 14*x - 15*x)) as w*x**3 + v + a*x**2 + p*x and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -651*(1352\/(-546))\/(-26)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 8:50 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11. Let y(a) = a + 34. Let s be 0 - ((-2)\/(-1) + -4). Let b(q) = s*y(q) - 7*w(q). What are the prime factors of b(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9592454 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4629*b**3*s**4 + 528*b**3*s**2 - 4*b**3 - 13*b**2 + 3009*b + 1 wrt s?\nAnswer: 18516*b**3*s**3 + 1056*b**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-72) - 29\/(-9). Suppose b*n + 131 = 416. Let l = n - -55. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-18))\/(3\/(-5760)). Calculate the remainder when 19 is divided by (-12864)\/p + (-2)\/5 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 - 8*k + 16. Let r(o) = -4*o**2 + 7*o - 18. Let c(t) = -5*r(t) - 6*w(t). Determine c(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*f + (120*f + 136*f + 21*f)*(-4 + 2 + 1) to k + p*f and give p.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/30066824 and -7\/16.\nAnswer: 60133648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 282 (base 10) to base 11\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-20))\/22)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 2. Let o be (b - -7)\/(1\/2). Solve -s + 15 = 2*z, -s - 4*z = o*s - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -93594911.36 to the nearest one hundred thousand.\nAnswer: -93600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5\/((h\/(h*h\/(h*h**29*h*h*h*h)))\/h) assuming h is positive.\nAnswer: h**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -220 + 129. Let g = 87 + h. What is the nearest to 3.1 in g, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 15*i + 64, -i = -6*a + 75047 - 75037 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58194 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 20 - (13 + -5 + -65 - (9 - -2)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3\/2)*q*q**(3\/7)*(q*q**0*q)\/q*q**1)\/((q\/q**(-4\/3)*q)\/((((((q**1*q)\/q)\/q)\/q*q)\/q*q)\/q))**(-1\/17) assuming q is positive.\nAnswer: q**(2273\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -5 - 3 - (1 + -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**3 - 29*q**2 + 6*q + 30. Let i be j(27). Round i to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.045 and -9.9?\nAnswer: 9.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/20 - (-6 + 2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/4)\/(w*w\/w**(-1)))**(-13\/5))**(2\/5) assuming w is positive.\nAnswer: w**(117\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -18. Let n = -299666950 - -299666952.00000001. Let r = d + n. Round r to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/11 - 6 - 0\/1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 440*b**2 - 2355*b - 2790.\nAnswer: 5*(b - 6)*(b + 1)*(b + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/7 - 134*s**2\/7 - 974*s\/7 - 1770\/7.\nAnswer: -2*(s + 3)*(s + 5)*(s + 59)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llo when three letters picked without replacement from {q: 1, s: 5, l: 3, o: 6, y: 2}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.93 - -0.07. Suppose -g - 2*a = -1, -7*g - 51 = -16*g + 3*a. What is the nearest to f in g, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:02 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 330 divided by 165\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 30 = -24. Let n be (-4)\/10 - 14\/(-10). Sort n, 0, m.\nAnswer: 0, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/20 and 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxf. What is prob of sequence bf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -5*w + 1, -2105*w + 2108*w + 4*x = -1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -8 - 6*k - 2*k**2 + 5*k + 11*k = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2212 (base 3) to base 8\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 38*t**2 + 22*t + 26. Give j(-38).\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6830 by 5.\nAnswer: -1366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(-1*sqrt(4)))\/(-1*sqrt(216)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2556.2 + -2556. Which is the nearest to -0.3? (a) -0.03 (b) l (c) 0.24 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -15*i**3 + 2*i**2 + i. Let d(h) = 44*h**3 - 6*h**2 - 2*h + 1. What is -3*d(z) - 8*w(z)?\nAnswer: -12*z**3 + 2*z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27572731 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2669 = -25*g + 3019 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l\/((l\/l**(-27)*l)\/l))\/l*l*l)*l*l**(1\/25) assuming l is positive.\nAnswer: l**(701\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 220?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 16609*h**2 + 33218*h - 465052. Let s(o) = -o**2 - o + 14. What is -i(x) - 33218*s(x)?\nAnswer: 16609*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-145332)\/(-2936))\/((-66)\/(-124)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/6 (b) -0.062 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**3\/4 + 374454*h**2 + 46738599372*h = 0.\nAnswer: -249636, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 11 = -3. Suppose -3*m - i*m = -20. What is the third derivative of -2*j - 2*j**m - 3*j - 2*j**2 + 5*j wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*z + 35*z - 6505 = 290*z - 1850 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 224 - -944. Let l = w - -266. List the prime factors of l.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 151 - 75*u**2 + 254 + 74*u**2 - 3*u**2 + 2*u**2 - u**2 - 3*u**2 - u**2 + 3*u**2 + (3 + 2 - 4)*(-u**2 + 4*u**2 - u**2).\nAnswer: -2*u**2 + u + 103","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15646517 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (7 - (-7 + 7)) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 22. Let n = -6 + p. Suppose -n*w = -w - 66. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 29, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 5. Let k be r(-4). Suppose 4*s - 2 = k*s. Solve -2 - 2 = s*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 0)\/(1 - (-105)\/(-99)). What is the third derivative of 2*j**4 - k*j**2 - 57*j + 57*j - 9*j**3 + j**3 wrt j?\nAnswer: 48*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.52596997 rounded to 2 decimal places?\nAnswer: -25.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**7\/42 + 23*u**5\/60 + 5*u**2 + 18*u. Let n(j) be the first derivative of h(j). Find the third derivative of n(r) wrt r.\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 2*a**2 + 9*a - 3. Let c(q) = 2*q**3 + 5*q**2 - 18*q + 7. Calculate 2*c(v) + 5*j(v).\nAnswer: -v**3 + 9*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*2655\/(37878\/214).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12865.322 and 26302827.\nAnswer: 26289961.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9025306*h**5 + 13992248*h wrt h?\nAnswer: -180506120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0.6. Let o = 1 + -2. What is the nearest to o in y, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3703836217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**6 - 3*o + 3*o + 0*o + 7*o**2 wrt o?\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1318 - 1320. Which is the second smallest value? (a) -0.04 (b) l (c) -4 (d) 12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4) - -2)\/(8\/608). Suppose 3*c - 5*g + 77 = 0, 4*c + m = -0*g + g. Let w = -56 - c. Find the common denominator of -42\/5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -371 - 1587. What is the common denominator of -61\/12 and n\/(-165) - (-1)\/(-6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*l**2 + 13*l**2 + 3*l**3 + 16*l**2 as o*l**2 + p*l**3 + w + t*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l. Let d(f) = -3*f. Let r(q) = -3*d(q) + 2*n(q). Let v be (1 + -5)*(-4 + 3). Let z(y) = 5*y + y - y - v*y. Give z(r(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 67965.\nAnswer: 67965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 3*f**3 - 8)*(0*f - 2*f + 3*f) - f - 23*f**4 + 21*f**4 - 1 + 5*f**4 as j + p*f + d*f**4 + r*f**3 + i*f**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 2. Let r(w) = 16*w + 125 + 132 - w**2 - 264. Let l be r(15). What is d(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + m + (-5 - 9 + 9)*(-3 + 1 + 1)*(13*m + 7*m - 22*m))*(0 - 4 + 6).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 - 0.17. Let r = -3.997 - 0.053. Let s = k - r. What is the second smallest value in s, -5, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111 - 11011000101?\nAnswer: -11010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 181 - 84 + 0*f**2 - 93 + 3*f**2 as z*f + p*f**2 + o and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((4*(sqrt(242) + -1) - (sqrt(242) + sqrt(242)*1 + 1 - sqrt(242))) + -1*sqrt(242) + 5 + (sqrt(242) - ((sqrt(242)*-1 - sqrt(242)) + 1)))**2)*-3.\nAnswer: -18168 + 330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249007273 and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w. Let y(h) = 13309176*h**2. Determine t(y(s)).\nAnswer: -26618352*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-102)\/34*(-231)\/9. What is the highest common divisor of 2079 and j?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 4\/21, 13, -2, -1020, 1 in increasing order.\nAnswer: -1020, -2, -3\/4, 4\/21, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1835*t**3 + 26665*t**3 + 2*t**2 + 1051*t**3.\nAnswer: 29551*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03669 to three decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 5*x**2 + 4*x + 6. Let n be l(-5). Let a(h) = 2*h**2. Let z(t) = -10*t**2. What is n*a(k) - 3*z(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 58. Let w be y(28). Let c(a) = -a**2 + 2*a + 2. Let g be c(w). Sort g, 0, -9 in ascending order.\nAnswer: -9, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**3 - 9*d**2 - 74*d - 252. Give o(-6).\nAnswer: -1428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 8. Let f be 4\/2 - 4\/2. What is the remainder when 38 is divided by w(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.48 - 12. Let k = -0.12 - w. Which is the biggest value? (a) 4 (b) k (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/3 (b) 84 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*3\/(-5)*-5. Suppose -2*a = -w*a. What is the second derivative of 4*q + a*q - 2*q - q**2 wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 14*s - 34*s + 9*s + 13*s. Let y(u) = 9 - 9 - 3*u**2. Give y(i(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 l when four letters picked without replacement from xxlllllllll.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*w - 6 - 36, -2*m = -5*w - 15. Calculate the remainder when 47 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/((4\/34)\/(-5 - -7)). Let y = r + -203. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c - 3*c + 3*c**2 + 2*c**3 + 2*c - c. Let f(s) = 7*s**3 + 11*s**2 + 19*s. Let u(t) = -6*f(t) + 22*n(t). Find the second derivative of u(k) wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (6 + -3 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*x**4 + 40164*x**3 + 921432*x**2 + 1469308*x - 425544 = 0. Calculate x.\nAnswer: -21, -2, 1\/4, 2533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-1 - 1 - 0). Let r(o) = -o**2 - o + 10. Let n be r(0). Let q = -7 + n. Solve i - w = q*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111101 - 100110000110101?\nAnswer: -100110011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4.8. Let r = -3800 + 3800.5. Which is the smallest value? (a) -2.9 (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1041, -1931, -2819, -3705, -4589, -5471?\nAnswer: -6351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.26 - -4.48. Let q = f - -7.9. Let u = 29.88 + q. What is the smallest value in u, -0.5, 1\/3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*x + 39*x + 55*x - 4 as w + f*x and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + 2*m**3 + m - 2*m**3 - 2*m to the form p*m**2 + j + b*m + z*m**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h. Let s(l) be the second derivative of -5*l**4\/12 - 36*l + 2. Give m(s(j)).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2566434165?\nAnswer: 3, 5, 2609, 65579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, n: 1, s: 1, z: 1}. What is prob of sequence ezne?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3202630 and 1530.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 7358540*h - 6768513866450.\nAnswer: -2*(h - 1839635)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7 + 1 = 0. Let o(i) = i**3 + 6*i**2 + 6*i. Let v be o(-4). Let l = p + v. Is 5 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 9. Let h be q(-8). Let d(o) = 8*o + 6. Let t(b) = -b**2 - b + 1. Let y(f) = h*d(f) - 6*t(f). Find the second derivative of y(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1. Let f(t) = -13*t + 60. Let h(k) = f(k) - 6*p(k). Let s be h(6). Let g = 1.7 - 2.7. Is s greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13113 and 0.7.\nAnswer: -9179.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 22331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b + 39. Calculate the remainder when g(-9) is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28413, -28386, -28371, -28374, -28401, -28458, -28551?\nAnswer: -28686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.8, 2\/17, 0.1, -0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12148307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33366601621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 - -4 - -1*15. Suppose 0 = 4*x + 4*i - 12, 2*x + f = 6*x + 2*i. Let b(w) = 4*w + 4. Determine b(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*h = -14, -44*q + 3*h - 30 = -39*q. Sort -42, q, 3 in decreasing order.\nAnswer: 3, q, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n + 36 = -53 - 27 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-714)\/(-56) + -15)*(-3544)\/6. Is 2 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56998 - 0.3?\nAnswer: -56998.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2848 and 4106994?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/40)\/((-15)\/20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s + 2*s)*(s - 2*s + 3*s)*(-5 - 1 + 3)*(-1 - 1 - 3 - 8 + 11 - 7 + 2 + 1 - 2 + (-3 + 1 + 1)*(-3 + 4 - 3)).\nAnswer: 108*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5220*w + 960488. Give z(-184).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 4*t**2 - 3*t + 7. Give p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - -1. Let p = u + -9.99999955. Round p to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -7, 2, 1.512, -3\/5?\nAnswer: 1.512","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 5 (c) -495052 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 57. Let m = k - -57. Calculate the highest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 12. Determine f(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -2 - (9 - 13). Suppose p*c = -0*c - 14. Let t = c + 7. Solve 3*r + t + 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 + 10 + -4 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 50*j + 55.\nAnswer: -5*(j - 1)*(j + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -15*12\/54 - 1\/(-3). Let l be (-2)\/7 + g*25\/105. Let f(j) = j**2 - 1. Let p(d) = -6*d**2 + 9 - 1 - 3. Calculate l*p(s) - 5*f(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*l = 2*o - 57, -l - 63 = -5*o. Find the third derivative of o*w**5 + 6*w**5 - w**2 - 7*w**5 wrt w.\nAnswer: 660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in 56\/11, -111, -0.3, -3, 5\/2?\nAnswer: 56\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/87 and 81\/8?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1636.2*20.1.\nAnswer: -32887.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -11 + (4 - -7) + -14 + 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0*m - 4*m)*(-2*m - 3*m + 3*m + (5*m - 4*m + m)*(-6 + 3 + 2) + 0*m + 2*m + 0*m - 2*m - m + 4*m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 1)*(-120)\/16 + 1. Suppose 21 = -2*a - 2*m - m, -2*a - 1 = -m. Let k be (6 + -1 - -2) + a. What is the greatest common factor of f and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.703 + 0.803. What is the third smallest value in -2\/7, -2\/23, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14))\/((-265)\/(-9275))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*(11730\/46)\/(675\/30).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**2 - 6*n + 1. Let s be a(-4). Solve -s*k = -i + 5, -i + 18 = -3*k - 3*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/30*-10*1\/(-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -251*a*t**3 + a - 3*t**3 + 22*t**2 wrt a.\nAnswer: -251*t**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exefr. What is prob of picking 1 e, 1 x, and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 23. Solve -3*j + 7 = o, 5*j = -2*o + 6 + w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5600 and 2100?\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 11*f**2 - 2*f + 1. Let y be z(1). Let m be -2*(-188)\/72 + (-2)\/9. Solve 8 = 3*w - 2*b, 0 = m*w - b - 8 - y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 88280872*s**3 - 176*s**4 + 1160 - 148 - 88280880*s**3 wrt s?\nAnswer: -704*s**3 - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20295.\nAnswer: 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 15, 8*t - 3*t + 13 = -g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.30000056 + -6.3. Round y to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -220, -234, -248, -262?\n\"Answer: -14*x - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -1 + -10 + 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/8*(-132)\/(-99).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -125200000 to the nearest 1000000.\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**3*v - a**3 - 5*a**2*v + 6*a**2 wrt v.\nAnswer: 3*a**3 - 5*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 8.8. Let r = -0.7 + l. Which is the third smallest value? (a) r (b) 5\/4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -78. What is the second biggest value in h, 1, -57?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d*f*s**3 + 12*d*f + 444*d + f*s**3 + 18*f*s**2 + 67 wrt d?\nAnswer: -f*s**3 + 12*f + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17929, -71700, -161317, -286780, -448089?\n\"Answer: -17923*a**2 - 2*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 426 + 295123.12\nAnswer: 295549.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*h + 62*h - 94*h)*(h + 4 + h - 6 + (-3 + 3 + h)*(0 + 3 - 2)) to x*h**2 + j + c*h and give c.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -60*w - 89. Does 9 divide m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -3 (b) -135122 (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 5*b + 3. Let t be y(-5). Let x = 17 - 12. Suppose 0 = -107*a + 88*a - 38. Sort a, t, x in ascending order.\nAnswer: a, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 785441 + 2080123 = 338*y. Is y a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 - -194. What is the lowest common multiple of b and 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602 = 1585900*o - 1585803*o - 1435 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*j + 10 = -525*j + z, -2*j + 24 = 5*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 6*d - 1. Let z be x(12). Let c = z - 56. Solve 9*y + c = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44616600 to the nearest one hundred thousand.\nAnswer: 44600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 115390721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1002 - -2.1. Round z to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22331 + 16977.\nAnswer: 39308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -0.1. Let f = o + 2. Let t = -1 - -2. Which is the nearest to t? (a) 4 (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - -164e4?\nAnswer: 16500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1634*d**3*g*o + 17*d**2*g - 3*o wrt d?\nAnswer: 9804*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*f = 70 - 245, 3*f + 3 = 0. Let b = h - 52. Suppose 0 = -b*v - 25, 10*v = -s + 5*v - 2. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1530 + 1535. Solve 2*z + 14 = 2*f, y*z + 6 + 13 = f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*b = 9*b - 6, 3*b - 13 = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2. Let s(d) be the third derivative of -43\/60*d**5 + 0*d**4 + 0*d + 5*d**2 + 3 + 0*d**3. Determine q(s(j)).\nAnswer: 1849*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1426 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 - 4 + 10*z + 36*z - z**4 - 6*z - 35*z**3 + 35*z**3 as r*z**3 + m*z**4 + q*z + x + s*z**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - ((sqrt(448) + 1)*5)**2) + sqrt(448)*1 + 0 - (3 + sqrt(448)*1 + 5)**2.\nAnswer: -11737 - 512*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57771761 or 0?\nAnswer: 57771761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -42320204?\nAnswer: -42320202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6180\/7 + -883. Which is the nearest to -1\/4? (a) 2 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.21, -2, 0.041, -5?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.24, 0.085 in decreasing order.\nAnswer: 0.24, 0.085, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2 + 3311*j + 60859. Calculate f(-18).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17680 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3322844?\nAnswer: 2, 7, 118673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18473*a*c - 10847137*a + 1911*c with respect to c.\nAnswer: -18473*a + 1911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -406468 in 1, 2\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 27 = 2*h - 31, 3*z = -3*h. Sort -1, 5, z, 17, 0.\nAnswer: -1, 0, z, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 5*n + 48 = 0, -634 = 7*c + c + n - 670 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*1 + sqrt(80))\/((sqrt(60)*1)\/sqrt(6)) - ((sqrt(56)\/sqrt(4))\/sqrt(7) + sqrt(2) + sqrt(2) - ((sqrt(42)\/sqrt(3))\/sqrt(7))**2)*-1.\nAnswer: -2 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2385 (b) -2\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -17\/3, -2.4, 4, 5?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -21, 9705 in ascending order.\nAnswer: -21, 15, 9705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 3*y - 7, 3*d + 2 = -y - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -21 + 101. Let a = j + -16. Suppose 3*u - 3*m + 0*m - 243 = 0, 3*u + a*m = 215. What are the prime factors of u?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 165\/2*t**2 + 0*t**4 + 0 + 0*t**3 - 134*t + 16\/3*t**6 + 0*t**5. Find the first derivative of g(l) wrt l.\nAnswer: 640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976698263?\nAnswer: 17, 181, 317419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292 (base 11) in base 14?\nAnswer: -878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-16))**(-34) assuming x is positive.\nAnswer: x**544","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2574)\/24)\/((-1)\/136). Let a = 650\/13509 - 3151322375\/216144. Let t = s + a. What is the common denominator of -53\/8 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18008?\nAnswer: 2, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1627, 1629, 1631?\nAnswer: 1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82851.\nAnswer: 3, 27617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993825123?\nAnswer: 3, 331275041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + y + 1. What is the smallest common multiple of q(-3) and 7\/3 - (-6)\/9?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.522188 millilitres?\nAnswer: 0.000522188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 8*r**2 - 6*r. Let w be a(7). Let x be 8\/28 + 194\/w. Solve -4*q + 0*m = -m - 16, 4*m = 4*q - x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-19)*g)\/g**(-3\/13)*(g**9)**7 assuming g is positive.\nAnswer: g**(1095\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n + 3. Let i be o(-2). What is the hundreds digit of (i - 2) + 5 + (-314)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/7)\/i)**38\/(i**(-15)\/(i*i**(-6))) assuming i is positive.\nAnswer: i**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 20 + 6*p to g + c*p and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/12 - ((-909)\/(-1515))\/(9\/(-30)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5*i + 1)*(4 + 2 - 3) - 1323 + 1323 - 31*i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -9 + 1. Suppose -y = -2*d + s, -18 = -5*d - y + 6. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37 and 358.\nAnswer: -13246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4166 - 3?\nAnswer: -4202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o + 20*o = -12. Solve -o*n = -5*b - 11, -b + 5*n + 27 = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/12 and (69\/(-18))\/((-2)\/5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -62 - 2*k**3 - 2*k + 5*k**3 + k**2 + 63. Calculate u(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2*z + (-1944 + 13367*z - 1996*z + 975 + 969)*(-2 - 2 + 2) as m + d*z and give d.\nAnswer: -22744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 10769.\nAnswer: 86152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-2) - (10 - 127). Let l = m + 12. Is 25 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-250)\/20*8\/10. Let s(l) = l**2 + 9*l - 8. Let r be s(n). Solve 0 = r*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 134\/1541 - (-441)\/(-46). Is 2 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - m + 21 = 0, -23*z = -3*m + 16176 - 16148 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w**(-2\/13)*w*w)\/w))\/(w**(-2)*w))\/(w**8\/w*w\/(w**(-9)\/w*w))*w**(-1\/2)*w**0*(w**(1\/3)*w)\/w*w*w**(1\/4)\/w*w assuming w is positive.\nAnswer: w**(-2147\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 - 8*s - 4. Let b(l) = -1 - 4 + 3*l**2 - 4*l + 3 - 4*l**2. Let h(y) = -5*b(y) + 2*o(y). Let v be h(-3). Is v <= 2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24466604.27 rounded to the nearest 100000?\nAnswer: 24500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 4. Let t(w) = 2*w**2 + 2. Let i(r) = c(r) - 2*t(r). Let s(h) = 11*h. Determine s(i(m)).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 408*d - 41920. What is x(85)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**3 + 2*q**2 - 37*q - 8. Is 31 a factor of d(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23c4 - 2?\nAnswer: 23c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3290138 < 3290141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 2*j + 2. Let i be v(-2). Let b = 11 - i. Solve 3*y + 2*m + 14 = 0, 5*m + 1 = b*y + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188278 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + (sqrt(3)*2 + 2 + 2 + 5 - (5 + ((sqrt(48)*-1)\/sqrt(4))**2)).\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*w)**(1\/82) assuming w is positive.\nAnswer: w**(-1\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 945 + -777. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -563*c + 2434*c + 251*c + 4593*c to j*c + o and give j.\nAnswer: 6715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - d**5 + 2715*d**2 - 2731*d**2 - 16*d**3 + 5*d**5.\nAnswer: 4*d**2*(d - 2)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -483 or -719113\/1489?\nAnswer: -719113\/1489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/14 - 0)\/(17\/(-3927)*-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*q - 17530 = -23290 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/720 and 43\/1080.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 4:21 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9780*p - 149. Is l(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13650.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2961\/12 - 1\/(-4). Suppose 3*y - 4*g = h, 2*y + 242 = 5*y - 5*g. What are the prime factors of y?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 576673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -36*p + 1156. Let y be r(32). Solve -y*c - 1 = -5*o - 0, -3*c - 18 = 2*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808 = 63*o + 52*o - 342 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 11*f**2 + 16*f - 15. Let i(j) = j**2 - 5*j - 7. Let g be i(5). Let t(w) = w + 17. Let q be t(g). What is the units digit of l(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131366276 is divided by 54194.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-35) - 191\/(-5). Suppose -d - 3*t = -0*d - 6, -3*d + 5*t = b. Let q = -3 - d. Solve -q*l = 2*l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.787106 millilitres to litres.\nAnswer: 0.000787106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 181*w. Let m(h) = h. Determine m(r(i)).\nAnswer: 181*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**5\/20 + 7*p**3\/2 - 107*p**2\/2 - 84*p. What is the derivative of l(t) wrt t?\nAnswer: -3*t**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.995 or 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 10*t + 6. Determine d(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/5)*m\/(m**(-1\/4)\/m))**15 assuming m is positive.\nAnswer: m**(183\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(3\/16)*m*m*m*m\/m**(-10\/9)*m**(-1\/19)*m*m*m**(2\/33)*m*m*m)**(-1\/4) assuming m is positive.\nAnswer: m**(-359093\/120384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 7:24 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 13*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 191*r**4 + r**2 + 204*r**3 - 25 - 190*r**4 + 7*r - 206*r**3 as l + n*r**2 + g*r + y*r**3 + b*r**4 and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146*l + 331*l - 164*l)*(-3*l + 3*l**3 + 0*l - 2*l**3).\nAnswer: 21*l**4 - 63*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 146 = 2*x - 32, 4*x = -3*z + 392. What are the prime factors of x?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3679439?\nAnswer: 67, 54917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 1 - 1)*(4 + 1 - 2) + 0*n**2 + 2*n**2 + 5*n**2.\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 4*i + 3. Let o be j(-4). Suppose -10 = -5*p + 5*t, 4*p + 2*t - 2 = 6. Factor p*r**3 + 3 + r**3 - 3*r**2 + 1 - 4*r**o.\nAnswer: -(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 10.9. Let m = -298171 + 1490856\/5. Which is the closest to m? (a) -1 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4304242 (base 6) to base 13.\nAnswer: -75002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03327 to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5821, -10248, -14675?\n\"Answer: -4427*y - 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44, 49, 54?\n\"Answer: 5*n + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/272 and -49\/51?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 6672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.385991 - -19.1460043. Let w = x + -0.76. What is w rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gggc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -967 + 983. Calculate the greatest common factor of 640 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2. Suppose -3*u = -9, 15 = -3*i + 2*u + 3*u. Let z = 2 + i. Let f(t) = 2*t**z + 1 + 0 - 1. Give f(k(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x + 28*x - 4*p = -16, -25 = 5*x - 250*p + 255*p for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (276\/57)\/1)\/((-15)\/(-10))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:57 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 852, 2423, 4790, 7947, 11888, 16607, 22098, 28355?\n\"Answer: -n**3 + 404*n**2 + 366*n + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271 = 78*p - 431 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-561)\/(-34))\/(-1 - 2) - -6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkkkkfkkkk. Give prob of sequence kf.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 4*r + 9. What is the least common multiple of v(5) and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 297, 2, 0, -17, -5, 5 in increasing order.\nAnswer: -17, -5, 0, 2, 5, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -61*g + 280. Let n(y) = 31*y - 142. Let w(u) = -9*n(u) - 4*r(u). Differentiate w(b) wrt b.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4658?\nAnswer: 2, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10810 - 10808. Suppose 3*n = 6*n - 1962. Let z be 2\/(-11) + n\/(-33). Which is the second biggest value? (a) z (b) 1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, d: 1, w: 2, e: 1}. Give prob of sequence wwz.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v - 51*v + 4*h = -4, 3*v - 3*h = 72 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 2*k**2 - k**2 - 7*k)*(-k + 0*k + 0*k).\nAnswer: 2*k**3 + 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -0.3, 0.339, 1 in increasing order.\nAnswer: -3\/5, -0.3, 0.339, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 48 = -3*r. Suppose -5*z = 10, -2*o + 2 + r = -2*z. Solve 5*m = -3*a - 13, -2*m - 15 = 3*m + o*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - -2.1. Which is the third biggest value? (a) -2 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/115307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**2 + 6*a - 11. Let r(m) be the second derivative of m**4\/3 - m**3\/2 + 3*m**2 - m. Let o = 6 - 3. Let g(t) = o*s(t) + 5*r(t). Determine g(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 4*l - 28. What is b(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxexyeeye. What is prob of sequence yx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4) + 50976\/1728. Solve 0 = p*x + 47 + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75500456 - -33?\nAnswer: 75500511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 15*y - 31. Calculate n(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 1. Let y(o) be the second derivative of -5*o**3\/3 + o**2 - 1048*o - 2. Determine -y(h) + z(h).\nAnswer: 9*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/20 of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 84 - 1f?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 0*i**3 + 4 + 0*i - 1\/2*i**4 + 1\/2*i**2. Find the second derivative of t(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0)\/(-1)*(-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/21 and -1\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 55\/33*(-9)\/(-5). Solve 0*g - q*g - 2*w - 4 = 0, -g - 20 = -4*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -27*f**2 - 55*f + 242. Let a(s) = 2*s**2 + 5*s - 1. Calculate -22*a(u) - 2*y(u).\nAnswer: 10*u**2 - 462","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3.886 * 1855\nAnswer: -7208.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1. Let r(j) = j**2 + j - 6. Determine -6*g(o) - r(o).\nAnswer: -o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5\/10)\/((-1 + 0)\/(-122))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*n + 80*n = -4*f + 1, 5*f - 5 = -3*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 8:58 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, c: 3, g: 2, b: 1, y: 1, w: 2}. Give prob of picking 2 b, 1 c, and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o - 54. Let i(w) = -w + 6. Let j(v) = 36*i(v) + 4*p(v). Determine j(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.8128 times -103?\nAnswer: 1937.7184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 28*n - 85 = -33*n, 14*n = 4*b + 238 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 95 = -5*s, 5*s + p = 10 + 105. Let c = s + -15. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640003837 to the power of 1\/3, to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20399652 or -20399612?\nAnswer: -20399612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 352474349 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/12*2\/15. Let p = -0.4 + 0.1. Let y = -10.195 + -0.805. What is the closest to t in y, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.681 * -0.94\nAnswer: 4.40014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 33*a**2. Let p(s) = -2691*s. Give z(p(m)).\nAnswer: 238968873*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 6. Let x(b) = b**2 + 7*b + 8. Let w be x(-4). Calculate the remainder when m(w) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 210*s**2 + 105*s - 35. Let b(w) = 5*w**2 + 3*w - 1. Let x(l) = 35*b(l) - h(l). Let y(z) = z + 6. Determine y(x(k)).\nAnswer: -35*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 10:13 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 6*t + 6*t)*(1 - 3 - 1)*(0*t + t + t)*(-2*t + 2 - 2).\nAnswer: 72*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 3283002\nAnswer: 2298101.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/5 of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-42) - 103\/(-7). Suppose l = -4*v - 3, -5*v + 5*l = -0*v - w. Suppose v = 2*j + 9*j - 22. Put -3, -1, j, 5 in decreasing order.\nAnswer: 5, j, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/13 + 70*s\/13 + 500\/13 = 0. What is s?\nAnswer: -25, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 6) in base 3?\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w = 0. Let y be -8*((-2)\/4 - w). Suppose -y*l + 0*l = -44. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8*q + 10*q - 942 = 0, -2 = -2*q. What is the remainder when n is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-145 + -5)*(-11 - 814\/(-66))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*y**2 + 44244*y + 8044.\nAnswer: (y + 4022)*(11*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25961502835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:14 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1805.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 3567 = -3666 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*s + 5*d - 33, -5*d + 30 = 5*s. Suppose 2*v + 1 = s. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/366076 and -23\/18?\nAnswer: 3294684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160844 and 632?\nAnswer: 321688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2 = 3*c, 2*c + 1353 - 1621 = 70*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Expand -n**4 + 0*n**4 - n**4 + (-n + n + 2*n)*(0*n**3 - n**3 + 0*n**3 + (-n - n + 0*n)*(-3*n**2 + 0*n**2 - 4*n**2) - 2*n**3 + 0*n + 0*n).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 9*n**4\/8 - 42*n**2. Let c(m) = 2*m. Give w(c(j)).\nAnswer: 54*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-22)*c*c*c)\/c**(-7) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8 = 4*x, -31 = -4*x - p - 7. Let y(n) = -n + x - n + n + 0*n. Calculate y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*c - 2*c. Suppose s - 19 = -2*j, -2*j + 3*s = -0 - 15. Suppose -39*p - j*p = -192. Solve 4*k + p*w = -12, w - c*w - 1 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*l - 367 = 130*l + 762 - 244 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(284644*u - 5*u**3 - 284644*u - 57*u**2).\nAnswer: 10*u**3 + 114*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 140\/(-7)*1\/(-2). Let f be (-17)\/(-4) - u\/40. Solve 6 = 5*j + x, j = f*x - 0*x + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*g - 6, 19 = 4*t + 3*g - 12. Let b = -9 - -11. Let s be 1 - (-3)\/(-6)*b. Solve t*o - 16 = s, 3*o = -5*z - 2*o + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/319? (a) -21 (b) -167 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/4 and 7\/284?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from cozop.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251342204 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + h**2 + h + 5. Let k be t(0). Suppose k*c - 1 = 14. Suppose -c = 3*b, -5*l + 29 + 80 = -4*b. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/15*(-125)\/(-300)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16746257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14288, -28293, -42298?\nAnswer: -56303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/89 and -1.668 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -20*i - 195. Give j(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 + 1. Let q be y(1). Solve q*c + 14 = -6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 55*d**5 + 455*d**4 + 1110*d**3 + 1150*d**2 + 515*d + 75 = 0. Calculate d.\nAnswer: -5, -1, -3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1404)\/(-1365)*12\/72*5.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16341 + -16301. Calculate the lowest common multiple of 2450 and l.\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3099354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -288352, -288349, -288346?\n\"Answer: 3*j - 288355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 60*q**2 + 121*q + 469. Give x(-4).\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*m - 17, 3*m + 2*m - 5*l - 20 = 0. Calculate the greatest common factor of m and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, -9369, 1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5568 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 + (-11)\/(-3). Let v(q) = -q**3 + 5*q**2 + 5*q + 7. Let z be v(6). Let b = o - z. Solve b - 6 = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(4 + 11\/(-2)). Calculate the highest common factor of 40 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 70\/49*28\/10. Is t <= 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10802, 21786, 32770?\n\"Answer: 10984*h - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 1157.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 - 46*n**2 + 87*n - 34. Let a(d) = -d**3 + 22*d**2 - 43*d + 15. Let i(b) = 5*a(b) + 2*m(b). Determine i(-20).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 11*s + 9. Let p be u(4). Let d = p - -66. Let v be 0\/d - (-189)\/7. Calculate the greatest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.02 - 0.12. Let n = -5.9 + w. Which is the closest to -1\/6? (a) -0.5 (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11263 = 299*v + 76*v - 6397 + 14634 for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**3 - 9*n**2 + 6*n - 4. Let b be y(2). Let i = -575 + 576. Sort i, -3.7, b, -4 in descending order.\nAnswer: b, i, -3.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-2\/5)\/d))\/d)**(-34\/5))**(-28\/5)*(d**(-1\/4)*d)**(-2)*d**0*d**(2\/7) assuming d is positive.\nAnswer: d**(91171\/1750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-12)\/(-36))\/(5\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-10) - -1*12\/24.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -40198269?\nAnswer: 40198265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 164\/20 + (-1)\/5. Let a = t + -10. Is -23*a\/((-2)\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*v + 2*g, 0 = -2*v + 6*g - 11 - 31. Solve v = -241*t + 232*t + 63 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 3*t**2 + 2*t - 4. Let o = -12 + 8. Let h be r(o). Suppose 6*f = -h*s + 2*f + 260, -45 = -s + 3*f. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 - 3)*((6 - 1 - 3)*(3*y + 0*y - y) - 2*y + 1 - 1 - 35*y - 33*y + 19*y).\nAnswer: -188*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/11 + (-2368)\/(-440) and -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 2, x: 1, v: 6}. What is prob of picking 1 v and 2 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 89, 86, 83?\n\"Answer: -3*l + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 3 + 12*f**2 - 1078*f + 43*f**2 + 41*f**2 - 9*f**2.\nAnswer: 82*f**2 - 1078*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-168)\/(-294)*(-2)\/(-4). Let y = 0 + 0.1. Which is smaller: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14348940 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: List the prime factors of 481921.\nAnswer: 11, 193, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, k: 1, u: 2, n: 3, e: 5, b: 3}. Give prob of sequence buk.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 2. Let c be x(0). Let r(d) = -6*d + 2. Is r(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine fifths of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, b: 13}. What is prob of picking 4 p?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 524392*v**3*z - z + 279551 wrt v.\nAnswer: 1573176*v**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2)\/(a**12*a*a)*(a**(5\/6))**(-1\/4) assuming a is positive.\nAnswer: a**(-389\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-96)\/2*8\/(-12). Let k = -20 + z. What is the hundreds digit of 884\/6 - 7\/((-126)\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 1445 = -4*d - 1474, -y = 34*d - 131 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6668295, -6668309, -6668333, -6668367, -6668411, -6668465, -6668529?\n\"Answer: -5*g**2 + g - 6668291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6 = -2*l - 5*u, -4*u = -4. Suppose -18 = l*p + 48. Is 2818*(-3*(-5)\/p + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1430, 2894, 4386, 5894, 7406, 8910?\n\"Answer: -2*v**3 + 26*v**2 + 1400*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.7 less than -154.1717?\nAnswer: -256.8717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 12*z**2 - 8*z + 4. What is the units digit of u(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 5 - 4) + 24193 + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13752.782 minus 1?\nAnswer: 13751.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 358 - 205b6?\nAnswer: -2025d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 27 = -c + 13, c - 24 = -3*a. Let u(q) = -q**3 + q**2 + 12*q + 4. Let g be u(-3). Calculate the greatest common divisor of g and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((-3)\/(-6) - 0). Suppose 5*d - 300 = 5*b, 0 = b - 2*b - m. List the prime factors of d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - 1) + (-71 - (-278 - -172)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 20*t**3 + 10*t + 5*t - 17*t**3 as b*t + i + j*t**3 + a*t**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -5 (c) -2 (d) 0.34 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 4*q**2 - 12*q - 44. Let w be a(-4). Solve v + 4*i - 17 = i, -w*v + 2*i = 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j + 2*j**2 - 4 - 3 - j**2. Let i be d(-5). Let r = i + 34. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, 7303 in descending order.\nAnswer: 7303, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -12.\nAnswer: -12, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8736 and 1560.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 14256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1554224 + 4?\nAnswer: 1554232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - 615bd84?\nAnswer: -615bd93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 y, and 1 u when three letters picked without replacement from uyfot.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 2:17 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -10. Suppose 20 = -q*p + 8*p. Suppose j - 9 - 14 = -3*h, 27 = p*h + 5*j. What is the smallest common multiple of 4 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y + 415. Let r = -28 - y. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 3.683326731509.\nAnswer: 4.183326731509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 11*p - 50 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2109 divided by 1?\nAnswer: -2109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22955889?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -56.3. What is the biggest value in p, -1\/7, 1\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 4 + -1)*-19. Suppose 5*h = -15*u + i*u - 15, -1 = -h. Solve 5*z = -25, -5*g + 2*z - u = 4*z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = m + 29 - 28, -m = 3*i + 1. Suppose 2*b - 16 + 0 = 0. Suppose -135 = 3*x - b*x - 3*w, i = 5*x - 2*w - 135. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y + 1908588 = 23*y. List the prime factors of y.\nAnswer: 2, 11, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(378)\/sqrt(7) - sqrt(726)*-2)*-3)\/((-2*sqrt(2100))\/(sqrt(7) - sqrt(448)*1)))**2.\nAnswer: 11025\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**5 + 0*w**5 + 6*w**5 + (2*w + 2*w - 6*w)*(2 + 1 - 4)*(-26 + 9*w + 26)*(w**3 + w**3 + 0*w**3).\nAnswer: 38*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17161 + -17160. Solve u + a = 0, -18*u = -3*r - 22*u - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 34*d + 140. Calculate f(4).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**2\/7 + 424336*p\/7 + 11253815056\/7 = 0.\nAnswer: -53042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*t + 4956 = 8946 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 - 111. Let y be (-34 - d)\/(9\/(-6)). Solve 2*p = 3*f - f + 14, 4*f + y = p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 34 = -3*v. Find the second derivative of v*r - 2*r - 16*r**3 - 6*r wrt r.\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f. Which is the closest to f? (a) -5 (b) -2\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(2) - (1 + sqrt(98))) + sqrt(72) + (sqrt(72) - (sqrt(72) - (sqrt(72) + 2 - sqrt(72))) - sqrt(72)))*-5*-3)**2.\nAnswer: -2700*sqrt(2) + 16425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8529\/3934 - -13\/281. Let m = -104 + 148. Calculate the common denominator of 6\/m*202\/6 and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 66*r - 132. What is s(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*m + 55404 = -32*m - 1223*m for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 695, 648, 601, 554?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 28061*c**3 + 56127*c**3 - 28067*c**3 - c**2 + 9 = 0. What is c?\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 187 + -302. Let x = b - -759. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 4. Let s = 62 - v. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 32 = -16*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -660 and 1.98?\nAnswer: 661.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -29, 6\/13, -252 in decreasing order.\nAnswer: 4, 6\/13, -29, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003272 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17080 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 558 or 2\/37907?\nAnswer: 2\/37907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2119, -1\/150, -53, -0.1?\nAnswer: -2119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 7, 4517 in decreasing order.\nAnswer: 4517, 7, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -31. Let o(n) = -20*n**2 - 21*n**2 + n**3 + 41*n**u. Let v(x) be the third derivative of x**6\/20 + x**5\/60 - x**2. What is -5*o(f) + v(f)?\nAnswer: f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q - 8. Let u be c(4). Let g be 3\/2 + 7\/14. Suppose -2*f = -u + g. Put -1, 4, f in ascending order.\nAnswer: -1, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52251?\nAnswer: 3, 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*g + 4480 - 1533, -3*g + 5*u = -4392. What are the prime factors of g?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -240?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 2, d: 3, c: 1, n: 4}. Give prob of picking 1 h and 2 w.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -324500 divided by -295?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 28 = 3*s, 172 = 5*k + s - 2*s. Are k and 36 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.49495407 to four dps.\nAnswer: 0.495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 887292 and 2196?\nAnswer: 54124812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213 = -21*x + 24 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42065?\nAnswer: 5, 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2349, -4708, -7067, -9426, -11785?\n\"Answer: -2359*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75775, 4, -67 in increasing order.\nAnswer: -67, 4, 75775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1737, -6895, -15503, -27567, -43093, -62087, -84555, -110503?\nAnswer: -139937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p + 1. Let f be k(5). Suppose 2*y - 3*o = 6*y + 52, 3*y - o + f = 0. Let c = y + 14. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3443 divide 7013098345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12778 = 9*p - 12913 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/40 and -71\/565010.\nAnswer: 2260040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -3 - (-7 - (10 + -21)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 11. Let u be f - (-1 - 1*232). Suppose -5*j + u = t, 4*j = 3*j + 5*t + 36. What is the remainder when j is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 142 = 32*l. Find the first derivative of -62 + 32*j**4 - 20*j**l + 6*j**4 + 4*j**2 wrt j.\nAnswer: 72*j**3 + 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8594 = 2*g - 3*z - 5617, -4*g = -z - 28447. Which is smaller: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 <= 576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4\/4 + 25*c**3\/2 + 59*c**2 + 94*c + 40 = 0.\nAnswer: -10, -4, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 8*v**2 + 7*v + 1. Let r(j) = 76*j + 7. Let w be r(0). Calculate f(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-27))\/((-31)\/(-1116)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 19*t - 991 = -7*t - 269, 4*y + 143*t + 320 = 154*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b + 53*b - 30*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3.85. Let i = w - 0.05. What is the nearest to -1 in 0.1, 2\/23, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4708 is divided by 312?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1202391, -1202364, -1202317, -1202250, -1202163, -1202056?\n\"Answer: 10*t**2 - 3*t - 1202398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503785?\nAnswer: 5, 19, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 6*w**3 + w - w**3.\nAnswer: 5*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2736) + sqrt(2736) + 1)*1 + sqrt(2736) + -1 + sqrt(2736) + 4 + 2 + -2 + 3)**2.\nAnswer: 672*sqrt(19) + 43825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6828, -13656, -20466, -27258, -34032?\nAnswer: -40788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1429 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 - -133. Let d(y) = 11*y**2 - 5*y - 5. Let u(w) = 6*w**2 - 3*w - 3. Let s(n) = o*u(n) + 3*d(n). Let z(q) = 30*q. Determine s(z(t)).\nAnswer: 2700*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*c = 25 - 5, -4*r + 24 = 4*c. Let z be 4\/(-5) + (-26852)\/35. Let t be z\/(-11) - 8\/(-44). What is the greatest common divisor of t and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.1183?\nAnswer: -0.03549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2057)*1*-3*5*-5)**2 - 1*((3*-4*sqrt(17)*2)**2 + -4)).\nAnswer: 23121674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = -40*m + 48. What is the least common multiple of m and 1918?\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.6, -1\/5, -3\/5, 0.5 in decreasing order.\nAnswer: 7.6, 0.5, -1\/5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.234*0.92176.\nAnswer: 0.21569184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48411? (a) -0.2 (b) 5 (c) -0.23 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6841 + -3873. What is the highest common factor of 392 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**4\/12 - 3*n**3\/2 + n**2\/2 - 2*n - 7. What is o(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 74 + 14. Suppose 4*z - 3*z - w = 0. Solve -3*q - z = 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -14*r**2 - 133*r - 549. What is m(-4)?\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17725, -35445, -53159, -70867, -88569?\nAnswer: -106265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -15*k**3 + k**2 - k - 1. Calculate d(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 828637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -4 - (0 - 0). Suppose 0 = -u + t*u. Solve 6*p - p = u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60946917.00000042 + -60946928. Let z = 288 - 299. Let d = w - z. What is d rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o + 4*v - 4, -3*o + 17 = -5*v. Suppose o*s = 3*s. Suppose s*x = 2*h + x - 32, -5*h = 4*x - 74. Calculate the smallest common multiple of 6 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide (-6)\/(((-290)\/2775)\/29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (21 + 1 + -22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8*u - 2)*(-3*u**2 - 2*u**2 + u**2 + 3*u**2 - 3*u**2 - u**2 + (0*u + 3*u - u)*(7*u - 2*u - 2*u)).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w = -48*w + 4*b + 85, 9*w + 2*b + 13 = -38 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 + 2*o**4 + 265*o**3 - 267*o**3 - 3 - 4*o**4 + o**2 - 2*o in the form r*o**2 + x*o + k + w*o**4 + p*o**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 3225\/2?\nAnswer: 3225\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 26, -1 in increasing order.\nAnswer: -15, -1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 41 - 49 = -5*p, 5*p - 5*g + 10 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*z + 81 - 123 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*n - 130, -2*a + 20 = -3*a - 5*n. Let s be a\/1*(-1)\/(-10)*4. Let r be (0 - s\/7)\/((-18)\/(-126)). What is the greatest common factor of 20 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00187785961 rounded to 6 decimal places?\nAnswer: -0.001878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**2 + 6*n + 1. What is b(3)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.79362 litres in millilitres?\nAnswer: 10793.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/5972 and -46\/7551.\nAnswer: 45094572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 12, -1.4, 9\/11, -9?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 50.39. Let r = -0.01 + u. Let o = 3422 + -3438. Sort o, r, 0.2 in descending order.\nAnswer: 0.2, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - -11) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/6 and 67\/1552?\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3472677, -3472671, -3472661, -3472647, -3472629?\n\"Answer: 2*l**2 - 3472679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3)*l)**(-3\/26) assuming l is positive.\nAnswer: l**(-5\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/11 and 38\/633.\nAnswer: 6963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -2396328188?\nAnswer: -2396328193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128648471?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -44. Sort l, -14, 0 in decreasing order.\nAnswer: l, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 6*i + 1. Let q(o) = o**3 - o**2. Let h be q(2). Let m be (16\/h)\/(4\/(-6)). Determine s(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 3*c**3 - 12 + 5*c**3 + 11 + c**2 - 4*c**2 - 4*c. Let u(n) = 5*n**3 - 8*n**2 - 6*n - 4. What is 3*u(i) - 8*w(i)?\nAnswer: -i**3 - 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -w - 5. What is the remainder when w is divided by (1\/(-3))\/((3\/3)\/(-78))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -22*f + 14*f**2 + 0*f - 23*f**2 + 9 + 9*f. Let m(r) be the second derivative of r**3 - 2*r**2 + 1\/3*r**4 + r + 0. Give 13*m(j) + 6*t(j).\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1477724 * 1.7\nAnswer: -2512130.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-180)\/(-3)*(-4 + (-42)\/(-8)). Is d <= 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 6*f. Let u be s(-6). Suppose u = h - 11 + 7. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*n - 3 = 0, -j = 2*j - 2*n + 15. Is (j\/(60\/(-8)))\/((-1)\/(-335)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5189207100 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + y - 1 + 4. Let z(t) = -t - 2. Let v be z(-4). Suppose -2*h = -p - 7 - v, -4*h - 3 = 5*p. Give b(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17009 + 17011. Sort h, 1\/9, -4, 23, 0.3 in decreasing order.\nAnswer: 23, h, 0.3, 1\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*n**3 - 6739684*n**2 + 6739684*n**2.\nAnswer: 348*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0 - -108) + 3. Let z be (1*-1)\/(2\/(-10)). Suppose 5*b = -z + 75. Calculate the highest common divisor of b and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 292624 and 240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 496 - 495.97222. Let q = -0.022 + t. Round q to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.059 (b) 0.14 (c) 4 (d) 0.3 (e) 2\/3 (f) 14 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1640 + -1464. What is the least common multiple of 48 and t?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 208400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 28. Let j(n) = n**2 - 3*n. Let q be j(4). Suppose -q*v = -v. Solve v = -x + i - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - w**3 - 3*w + (3*w**2 - 5*w**2 + w**2)*(-4 + 3*w + 4 - 1).\nAnswer: -4*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -348 + 452. What is the remainder when j is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652775 is divided by 796.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 10642 = 3*m - 5837, 2*m = 2*r + 10986. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 at most 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 362726 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -965752 or -965748?\nAnswer: -965752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/1*15\/2. Suppose -2*d = d - n. Suppose -3*c = 2*g - 29, d*g - 3*g + c - 19 = 0. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95772 = -4261*h + 211020 for h.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 387740 = 10*r - 18*r. What is the thousands digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*p = -78*p - 4*k + 4, 26 = 2*p + 5*k. Let u(f) = 9*f**2. Let g(v) = -5*v**2. What is p*u(w) + 7*g(w)?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200*p**4 + 77 with respect to p.\nAnswer: 800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48997 is divided by 8141?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13222783?\nAnswer: 7, 79, 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/((q*q\/(q\/(q*q\/(q\/q**(2\/7)))))\/q))**(-24))**(2\/23) assuming q is positive.\nAnswer: q**(-240\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197033804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -52\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 8 = -2*i, 5*a = -i - 7 + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 1, 1.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -21*p**3 - 2*p - 1. Calculate k(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6568 is divided by 451.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 856*d**4 + d + 0 + 2 + 816*d**4 in the form m*d**3 + i + f*d**4 + l*d**2 + k*d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/12*-1*(-2)\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 602940 and 9960.\nAnswer: 100088040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 106621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 442 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 0 - (-313 - -321)) + -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25999, 51978, 77947, 103906, 129855, 155794, 181723?\n\"Answer: -5*o**2 + 25994*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 18, 4*x - 53 = 3*g - 59. Solve 4*d - 11 = -5*b, 0*b = 3*d + x*b - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (65 - 9)*((-105)\/2)\/(-5). Let s be 4\/42 + 8176\/h. Solve 0 = -16*g + s*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/23))**(-9\/5) assuming a is positive.\nAnswer: a**(18\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -36\/5*o**2 + 6\/5 - 12*o**3 - 6\/5*o**5 + 2\/5*o - 34\/5*o**4 = 0.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -989 - -1002. Let b(s) be the first derivative of 0*s**3 + 0*s + 0*s**4 + 9\/2*s**2 - f + 2\/5*s**5. Find the second derivative of b(a) wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-8)*(-8)\/16*-12. Let g be ((-2)\/8*2)\/(2\/(-8)). Solve h*z = -g*z + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y = 3*o - 35*y - 18, -4 = o - 3*y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/2))**(-22\/5)*a**(-16)*a**18 assuming a is positive.\nAnswer: a**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 9*w + 722, 0 = 6*h - 5*h - 3*w - 170. Suppose -77 = 2*q - 429. Is q at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m**3\/3 + 328*m**2\/9 + 277*m\/9 - 2 = 0. Calculate m.\nAnswer: -9, -1, 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006151 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 431569891 to the nearest integer?\nAnswer: 20774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-50.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10015975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, q: 13, a: 3}. What is prob of picking 3 q?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -577, -1\/3, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l**2 + 60*l - 60. What is k(4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 6:14 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 8*z - 28. Suppose z*d + 0*d - 4713814 = 0. Let w = d + -1253402. What is w rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 1)*-6.\nAnswer: -18*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8348708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09701621, -1\/2, -13.\nAnswer: -13, -1\/2, -0.09701621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 3:00 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 288*a**4\/5 - 123*a**3 - 13746*a**2\/5 + 1872*a\/5 = 0?\nAnswer: -6, 0, 13\/96, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11221 + -20?\nAnswer: 11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2740*b = -551*b + 26653 - 325 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aya when three letters picked without replacement from rabaaajayrrttba.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41013 - -68896. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 2*g - 2*g)*(61*g - 21*g + 34*g)*(2*g - g - 2*g - g**2) to p*g**4 + o*g**2 + l*g + t*g**3 + u and give p.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 213920 and 175840.\nAnswer: 33585440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*x\/(x**(2\/25)*x)*x)**(-2)\/(x*x**11*(x**(2\/9)\/x)\/x)**(7\/5) assuming x is positive.\nAnswer: x**(-1384\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**2 + 77*n - 14. Determine k(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 - 108*b**2 + 41. Determine k(36).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 6*z - 11*z. Let m = 16 - z. Let q = -7 + 10. Solve -2*k = 2, -y + m*k + 1 = -q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -59*d**2 + 15806*d - 20861299. Let r(f) = -52*f**2 + 15808*f - 20861300. Let x(y) = 8*r(y) - 7*s(y). Suppose x(o) = 0. Calculate o.\nAnswer: 2637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Let y(c) be the third derivative of 0*c + 0 - 1\/24*c**4 - 1\/6*c**3 + n*c**2. Calculate y(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 12212?\nAnswer: -12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 21. Suppose -w + 28 = -4*s. Let m(l) = 3*l**2 - 9*l + 2. Let c(x) = -4*x**2 + 10*x - 3. Let k(i) = 4*c(i) + 5*m(i). Give k(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 0. Suppose 0 = k*f - 12*f + 10. Suppose j + 412 = -3*u + 6*u, -j - 274 = -f*u. List the prime factors of u.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4430 + 327*x + 4430 + 2*x + 2*x - 3*x + x - 5*x + 3*x + (0 + 1 + 1)*(-3*x + 4*x + x).\nAnswer: 331*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 15 = 2*s - 7*s, 3*s = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhkkvkheyhhhevkkhh. What is prob of sequence hhy?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3180*k**3 - 8*k**2 - 32*k - 24. Let j be d(-6). Round j to the nearest ten thousand.\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:39 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-24)\/(-6))*5\/(-80).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, -29, -6\/17, 6\/17, 2\/7 in ascending order.\nAnswer: -29, -0.5, -6\/17, 0, 2\/7, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 + 254 - 123 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -1\/4, 13, -0.4 in ascending order.\nAnswer: -0.4, -1\/4, 13, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 79*s**2 + 480*s + 428. Give z(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1398, 0, 65 in increasing order.\nAnswer: 0, 65, 1398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-7964)\/(-2382))*(-21)\/(-168). Let w = 1\/794 - k. Let y = -59\/84 - w. Put -2\/9, y, 0.2 in descending order.\nAnswer: 0.2, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 4)*(213*p - 198*p - 113*p).\nAnswer: -784*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-5 + 2 + sqrt(1700) + -1) + -3)**2 + 0)*-1.\nAnswer: -61641 + 2520*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*b - 2. Let y(x) be the first derivative of 3\/8*x**4 + b*x + 1 + 1\/6*x**3 - 1\/2*x**2. Factor y(c).\nAnswer: c*(c + 1)*(3*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -165 + 15?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0*p + 7\/6*p**3 - p**2 - 1\/12*p**4 + 4. Give x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65338957.\nAnswer: 71, 920267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2559521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16527480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 4*f**2 + 11*f**2 - 15*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/207022057 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {u: 2, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3037784 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3245980.\nAnswer: 2, 5, 17, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*-2*12. Let i be -9 - (-5)\/(10\/6). Let x be i\/(-2) - 1\/(-1). What is the highest common divisor of x and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33773, 33135, 32493, 31847?\nAnswer: 31197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 404714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*i = -0 - 30, 2*j = 4*i + 28 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/931)\/(18*(-9)\/126).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23\/3*n**3 - 13\/3*n - 38\/3*n**2 + 0 + 2\/3*n**4 = 0 for n.\nAnswer: -1, -1\/2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 919 = 3*w - 2*x + 896, w = -7*x for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfy when three letters picked without replacement from uuttuufuyuufu?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*((-258)\/(-63) - 4). Let u be 7*(60\/35)\/4. What is the closest to 2\/3 in u, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 6*k = 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**3\/5 + y**2\/5 - 8*y\/5 - 1\/5.\nAnswer: (y - 1)*(y + 1)*(8*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 98?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/50 - (-1296)\/(-675). Is -43 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (4 - 4)) + 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0176 * 1182.\nAnswer: 20.8032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10146, -20101, -30052, -39999, -49942?\nAnswer: -59881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-780))\/((-2)\/(-5))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2899 + 1275?\nAnswer: 4174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/105)\/((-144)\/(-60)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**3 - p**2 + 3*p + 2. Let y be x(-2). Suppose y = 2*n + 600. Let m be n\/(-27) + 2\/(-3). Solve k = -3*l + 1, -k - k - m = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrtw when four letters picked without replacement from etrzwtse.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let y(g) = -35346339*g. Calculate s(y(u)).\nAnswer: -35346339*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.38, -0.8, 2, -0.2, 3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -1096.39233?\nAnswer: -1096.39233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.11, 0.0295838, 0.2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + (-26 - -78) - (5 + 2 + 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*b**4 + 2 + 11*b**4 - 25*b**4)*(-2*b - 2 + 2) + (3*b**2 - b**2 - 4*b**2)*(3*b**2 + b**3 - 3*b**2).\nAnswer: -8*b**5 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxbbtbblbkbbkbbhttl. What is prob of picking 1 t, 1 l, and 1 x?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 232529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 4863425.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 96 = -n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 - -147?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/9 - p**3 - 5*p**2\/3 - 7*p\/9 = 0. What is p?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i. Suppose -6*q + 5*p = -q - 285, 63 = q + 2*p. What is the remainder when q is divided by m(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqddiqddddiyqmmqd. Give prob of sequence im.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 3*s + 4. Let f(r) = r**2 - 2*r - 4. Let k(h) = -6*f(h) - 5*x(h). Let q be k(-4). Find the second derivative of -p**3 + q*p - 3*p + 4*p wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/5 - 156*a**4\/5 + 3592*a**3\/5 - 4220*a**2 + 4830*a + 9800 = 0 for a.\nAnswer: -1, 4, 5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021282061 to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-24)*1)\/((-2337)\/6806). Is 0 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 502, 751, 1000, 1249?\nAnswer: 1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 15) in base 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 7*w**4\/24 + 7*w**3\/6 + 85*w**2. Calculate p(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 13*r - 4925. Let i(u) = -6*u + 2437. Give 4*d(b) + 9*i(b).\nAnswer: -2*b + 2233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -12*p**2 - 2*p - 1. Let m(i) = -24*i**2 - 5*i - 2. Let t(r) = -5*l(r) + 2*m(r). Suppose -242*x - s = -244*x - 2, -5*x - 5*s = 5. Give t(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 234\/(-15) + 4 + 1 and 262\/3*(-3)\/(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -22. Let w(z) = 3*z**2 - z - 3. Let x(r) = 4*r**2 - r - 4. Let a(p) = 3*w(p) - 2*x(p). What is the units digit of a(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 135, -0.06, -5\/8, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**7\/210 - j**6\/30 - j**3\/3 + 123*j**2\/2 + 50. Let n(t) be the third derivative of s(t). What is d in n(d) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -214\/35 + 47\/7. Let i be (-1 - -3) + 45\/(-20). Which is the closest to 0? (a) -3 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/14 and 119\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 7*s + 72. Find the common denominator of 4 - (-4 + (-741)\/s) and 3 - -6*-1*123\/120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57288.8811 to the nearest 1000.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103470 (base 8) to base 6.\nAnswer: 424132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-225)\/(-357) + 18\/(-306).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 8*g**2 - g - 4. Let d be z(-8). Suppose 0 = 3*x + s + 2*s - 90, 0 = d*s. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -209.\nAnswer: 8.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 543 and -741 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/284 and -45\/49264486?\nAnswer: 98528972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**3 + 36*w**2 + 88*w - 480 = 0.\nAnswer: -4, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -7*c**3\/6 - c**2\/2 - 12*c. Let k be a(1). Let w(s) = s**3 + 7*s**2 - 9*s - 6. What is w(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, 12, 57, 140, 273?\n\"Answer: 2*l**3 + l**2 + 2*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2\/(0 + -12)). Let l be 7\/((g\/(-15))\/2). What is the remainder when (1*l)\/(2 + -1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n. Let x be b(-5). Let d be 6*(-1 - x\/(-10)). Let s = d + 17. What is the remainder when 51 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 792?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(88)\/(sqrt(48)\/sqrt(6))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3*(-132)\/8. Suppose -f = c - 15. Let l = -3 - -7. Calculate the smallest common multiple of l and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/21 and 74\/4037313?\nAnswer: 4037313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4 + 4*z - 772*z**3 + 771*z**3 + 5*z**2 + 3*z - 3*z. Determine o(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218.3 - 218. What is the biggest value in 1\/3, s, -52?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 8*n + 11. Let o be 1 + -7 + -1 - 0. Let c be w(o). Suppose c*z - 6720 = 2*z - 2*k, 4*z + 5*k = 13440. Round z to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k - 3. Let f(b) = -3*b - 1. Let i(v) = 5*f(v) - 2*p(v). Let y(d) = -4*d + 1. Let a be 13\/(-5) - (0 + 6\/15). Give a*i(n) + y(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 772.\nAnswer: -3\/772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 + -279 - (-28 + -2 + (3 - 5))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and 75093.\nAnswer: 1426767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19647337 is divided by 13701?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 312, 327, 342, 357?\n\"Answer: 15*h + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(4 - 2 - 5)*(-36 - 76 - 1)*(-2*j**4 + 4*j**4 - 3*j**4) to the form m*j**2 + s*j**4 + k*j + n + a*j**3 and give s.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 9*t**2 + 15*t - 3. Determine m(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b + 147. Let l be j(23). What is the thousands digit of (-20)\/45 - ((-13792)\/l - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 1392029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/728 and 43\/47555690.\nAnswer: 190222760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 340 - 341. Put 26, d, 2 in decreasing order.\nAnswer: 26, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 9*i - 6*i + 16*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -150, -119, -88?\n\"Answer: 31*q - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150829?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(72))\/sqrt(12)*6)\/((sqrt(12)\/(sqrt(10)\/sqrt(5) + sqrt(2)))\/(sqrt(27)\/(sqrt(9)*-2))).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/15 - 10*i**4\/3 - 34*i**3 - 21*i**2. Factor b(j).\nAnswer: -4*(j + 3)*(j + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6))\/(50\/325 + 348\/(-234))*-44.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 34*t + 22. Let o(y) = -11*y - 7. Let z(u) = 3*a(u) + 10*o(u). Let f be z(-3). Calculate the highest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73, -58, -19, 56, 179?\n\"Answer: 2*n**3 + n - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33936 and 987?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, x: 15}. What is prob of picking 2 g and 2 x?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 2 y when four letters picked without replacement from byqbyppbyp?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1652286*p - 417038 wrt p?\nAnswer: 1652286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3878 + 805 + 597)*(1 - 4 + 5)*(-2*s + s**3 - 2*s + 2*s) to v*s + i*s**2 + p*s**3 + a and give p.\nAnswer: 10560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 128\/83?\nAnswer: 128\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 448390892 at least as big as 448390892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 30785 = 9345. What is the greatest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 + -0.03. Let b = s + 0.16. Put -4, b, 2 in decreasing order.\nAnswer: 2, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 61. Suppose d - 13 = -3*q. Solve 4*f - 5 + q = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*2)\/sqrt(6))\/(-1*sqrt(847))*-1 - ((1 + sqrt(288))*-6 + ((sqrt(32) + sqrt(2) + -3)**2 - sqrt(2)) + (-2*sqrt(128))**2).\nAnswer: -565 + 1135*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*u + 8 = 2*p, -11 = p + 2*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61395.\nAnswer: 3, 5, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 + 5*n**2 + 3*n**2 - 4*n**2 to t*n + i*n**2 + u and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1094 is divided by 137.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-4*2)\/(((-6*sqrt(132) - sqrt(132)) + sqrt(132) + sqrt(132))\/sqrt(11)).\nAnswer: 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10646475 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 22*a**2 - 7*a + 7. Suppose -33 + 31 = -3*m - 4*u, -5*u - 11 = -3*m. Let c(h) = 7*h**2 - 2*h + 2. What is m*g(t) - 7*c(t)?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(2 - 1 + 0)*(-2 + 0 + 1)*(14 - 14 - 433103*i + 412608*i).\nAnswer: 40990*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*p - 26 = w, 2*w + 11 = -3*p. Suppose 3*o - 3*t = 0, 0 = 4*t - 2*t - w. Solve 2*l + 3*g + o = -1, 5*g = 2*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by 68.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1063487, 1063489, 1063491, 1063493, 1063495?\nAnswer: 1063497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289582 is divided by 144653.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9695)\/(-7756))\/((-50)\/16)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**3 - q**2\/2 - 4*q + 28. What is w(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846488 is divided by 846477?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/159919584 and 31\/132.\nAnswer: 159919584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78490386 is divided by 627?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 2248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78210083 rounded to three dps?\nAnswer: -0.782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 434 + 2\/(-8)*-28. Suppose -s = -17*v + 409. Solve 54*o = v*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nannnaaaanaa. What is prob of sequence anaa?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, r: 1, o: 3}. Give prob of sequence ro.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*n - 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -11107235.\nAnswer: -11107239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1.1, 186.4, 8, 3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7) + (-18480)\/(-54390)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**3 - x - 276. Determine h(0).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c**3 + 17*c**3 - 6*c**3 - 4*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*m - 15, 5*m + 416491*d = 416496*d + 35 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16115183?\nAnswer: 7, 2302169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -2, -12, 3, -4 in ascending order.\nAnswer: -12, -5, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 1 - (-3 - -2). Suppose -2*h - 2 = -2*y + 2, 4*h = -2*y + l. Suppose -3*f + 5*f - 38 = h. What is the remainder when 37 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in -1\/3, -2.6, 0.08, -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100140 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, a: 7}. Give prob of picking 1 g and 1 a.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.575 + 647.425. Let a = k + -648.00417. What is a rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -234 less than or equal to -251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 36b?\nAnswer: -36b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.83307m in millimeters?\nAnswer: 98833.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13781*j**3 + 13775*j**3 + 12982*j**3 - 40537*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.9492*-0.5\nAnswer: 1.4746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3053 + 3170 - 6224 - 2*l - 6*l.\nAnswer: -8*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14993561 - 5?\nAnswer: -14993566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v - 9. Let p = v + 14. Let a = p + -7. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.522541 millilitres?\nAnswer: 0.005522541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161 and 126.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4620846 is divided by 101.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3405 is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 638*r - 639*r + 15 = 2*a, -117*a = -118*a - 8*r + 105 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2077\/8 + -6211\/24. Factor -2\/3*x**3 + 0 - 1\/3*x - 1\/6*x**4 - f*x**2.\nAnswer: -x*(x + 1)**2*(x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-19 - -49) - 34 - -46?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - 90*n + 172. Let a be t(28). Solve -3*b + 12 = -12*w + 7*w, a*w + 9 = 3*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 3*l**2 - 10*l**2 + (2 - 2 - 2)*(0*l**2 + 4*l**2 - 2*l**2))*(-2*l**3 + l**3 + 3*l**3) - 10*l**5 + 0*l**2 + l**2 + 2*l**5.\nAnswer: -40*l**5 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/15, 0.01, -15?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17936 + -17936. Sort 1\/5, -136, 0.06, a in decreasing order.\nAnswer: 1\/5, 0.06, a, -136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 220*z**3\/3 - 333*z**2\/2 - 15*z - 13. Find the first derivative of s(d) wrt d.\nAnswer: 440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 3. Let t(l) = -4*l + 22. Let o(w) = -7*w + 43. Let q(b) = -3*o(b) + 5*t(b). Let m be q(15). What is v(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00465158364 rounded to six dps?\nAnswer: -0.004652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/((-13)\/(156\/54)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*r**2 + 13*r**2 - 22*r**2 + 51*r**2.\nAnswer: 89*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**3 + u**2 + u + 3. What is t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 11\/(220\/(-168)))\/((-3873)\/(-51640))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 19*q - 428. Calculate d(19).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/(-6))\/(2\/6). Let y be 2688\/(-72)*(-6)\/(-4). Let p be 2\/r - y\/(-105). Sort p, -0.8, 4 in ascending order.\nAnswer: -0.8, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 9. Let p be k(5). Suppose 2*o - 6*o - 1 = -t, 2 = 2*t + 4*o. Let f be t\/(5\/(-75)*-3). Which is greater: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -16819760?\nAnswer: -16819769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1466, -12454, -23442?\nAnswer: -34430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -461.83 - -12.6\nAnswer: -449.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*985\nAnswer: 137.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1) + 14\/35. Let x = -10.1 - -10. What is the third smallest value in x, j, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 0.040532.\nAnswer: 1.040532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 525850 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 93794171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -17. Suppose 0 = -p*c + 5 + 5. Suppose v + c*v = 1059. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2438*g - 2403*g + 4839*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/1993? (a) 3 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 11*i + 2. Suppose -l + 24 = 5*a, -8*l + 5*l = 3*a. What is t(a)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 133, 128, 121?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184770 and 10890.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163666, -166627, -169588, -172549, -175510?\nAnswer: -178471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63395947 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 2*m**2 - 8*m - 8. Give l(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, 2\/65, -4, -1\/5, -3.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -16. Suppose 0 = 6*m - u*m + 6633. Let p = m + 8937\/4. Find the common denominator of 45\/16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78428 (base 9) in base 6?\nAnswer: -1041125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003064 rounded to 5 dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + j**2 + 3 + 4 - 3 - 6. Let o be x(2). Solve n = 4*r + 16, 3*r + 2*r = -o*n - 41 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -791 - -1110. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133365, 533477, 1200333, 2133933, 3334277, 4801365, 6535197?\nAnswer: 8535773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 1 + 1 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4658292352 to the power of 1\/2, to the nearest integer?\nAnswer: 68252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 527 and 482786281.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 173 + -355. Let p be (-68)\/(-14) - 26\/d. Solve p*k - 2*k - 4*x - 8 = 0, 0 = -x - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*k - 68*k = -61 - 11. Sort 0, 5, k, -3, -67 in ascending order.\nAnswer: -67, -3, k, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 6*c**2 + 6*c + 6. Suppose -l - 18 = 5*o, 24 = -6*o + 2*o - 4*l. Let x = 5 + o. Let d be (4\/x - -5)\/(-1). Give b(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-27)\/(s*s**32)*(s*s\/s**(1\/12)*s*s)\/(s*s\/(s\/(s\/s**(-22))*s)) assuming s is positive.\nAnswer: s**(-949\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2748008 by -36158.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -645 + 659. Let y be ((-8)\/b)\/((-12)\/(-42)). Put 4, -4, y in decreasing order.\nAnswer: 4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 6*x - 9. Suppose 4*g - 4*p + 20 = 2*g, 3*g + 12 = -3*p. What is m(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99754\/23 + 4336. Find the common denominator of -46\/13 and w.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3569359 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 297860 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from froqkkfoffkkfko. What is prob of sequence kkrq?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 287.002 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, c: 3, t: 1}. Give prob of sequence cctc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/109? (a) -2 (b) 2.67 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 35 + 32 + 3*k - 63 + k**2. Let d = 6 + 0. Is g(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 - 1) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-229*r - 11*r**2 + 229*r)*(0 - 5*r - 1 - 32*r) to the form k*r**2 + x*r + f + d*r**3 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26722*b**2 + 3*b + 317316.\nAnswer: -53444*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r + 11. Let b(y) = -46*y**2 + 60*y. Let s(a) = 7*a**2 - 9*a. Let g(u) = 3*b(u) + 20*s(u). Give h(g(t)).\nAnswer: 20*t**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -42, -64, -86, -108, -130?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 234 + 2238 = 0. Suppose -11*o + k = 74. Calculate the common denominator of 59\/27 and (-15)\/((-20)\/(-4)) - (-29)\/o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -608 + 572 - (-20 - -72).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 5 = 19*f + 8*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 2*u - 388. Give s(-13).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60087847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/42*(-3)\/(-18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171032316 divided by 6.\nAnswer: -28505386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 5*a - 5.\nAnswer: 5*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -217 - -219. Solve 6*f - 4*f + 26 = -5*m, -2*f = -a*m - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - -2.8. Let o be ((-3)\/3 - 2) + (-7 - -15). Suppose -2*i = 4*x - 22, -o*i = -5*x - 0*i + 5. Which is the closest to x? (a) -3 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1354260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195396*s**5 - 93*s**4*y**3 + 4*s**2*y - 293*s**2 - s*y**3 - s*y**2 + 3*s - 7 wrt s.\nAnswer: 11723760*s**2 - 2232*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x**2 - x. Let h be v(-1). Suppose 3*j = -1 + 10. List the prime factors of 1 + 3\/j - h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 335682 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3 - 33*n**2 + 471*n + 2805 = 0. Calculate n.\nAnswer: -17, -5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/189 and 5\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 5*y + 7*y + 15*y as t*y + c and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 2, e: 3, d: 1}. What is prob of picking 1 e and 1 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4811982 is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 15b30 (base 12) in base 14?\nAnswer: b420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 29 = 50. Let w be (2 - -1)*-1*1*3713\/(-141). Is w < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*f**2 + 640*f + 20480 + 118*f**2 - 53*f**2.\nAnswer: 5*(f + 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - 4*m + 3. Calculate f(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -42*r - 7. Let j(h) be the second derivative of -h**3\/3 + 5*h**2\/2 + h. Let c be j(4). Is y(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*t + 1050 = 0. What is t rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3656\/(-73120))\/((6\/45)\/1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Suppose 0 = -5*v + 3*k - 4*k - 140, -24 = v + k. Let l = v + 43. Solve 0 = -2*j - 4*o + 4, 2*j - a*o = l - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hou when three letters picked without replacement from {u: 4, y: 1, h: 1, o: 1, k: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*r**3*v + 5711*g**2*v + 4*g*r**3*v + 61*g*r**3 + 12*g*v - 5*r**3*v wrt g?\nAnswer: 2*r**3*v + 11422*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -483.33964 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1187871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -4. Let i(u) = 4*u**2 + 65*u - 46. Let t be i(-17). Let a be (-1)\/(-3) - 4\/(-6). Sort w, t, a in increasing order.\nAnswer: w, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 13. Let t = 12 + -13.8. Let d = u + t. What is the closest to 0.1 in -3\/4, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.010133 + -2.776967. Round o to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17619548, 17619550, 17619554, 17619560, 17619568, 17619578?\nAnswer: 17619590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -0.1, -5\/448, -1, 7?\nAnswer: -5\/448","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7407765 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20671 (base 11) to base 4.\nAnswer: 13112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1, 5, -25, -182.\nAnswer: -182, -25, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-97 - 4*q + 97)*(q**3 + 0*q**3 - 7*q**3).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*w + 135 - 2145 = 9*w for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0318 from 0.\nAnswer: -0.0318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 196\/14 + 45\/(-5) + 16\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 20*v**2 + 36*v + 6. Let q be a(-18). Solve -q = 4*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 + 2*j. Let n(a) = -a. Let m(k) = -k**2 - 21*k - 55. Let h be m(-18). Calculate h*n(v) + z(v).\nAnswer: -2*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5930, -5281, -23964, -50119?\nAnswer: -83746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*o + 10*o + 19, 0 = -u - 5*o - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-702)\/(-65)*114\/(-10336) and 75\/3128.\nAnswer: 15640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k - 6. Let w(x) = -13*x - 18. What is -7*r(t) + 2*w(t)?\nAnswer: 2*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68200 is divided by 2434?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*y**5 - 173\/2*y**2 - 1 - 409\/2*y**3 - 365\/2*y**4 - 31\/2*y = 0. Calculate y.\nAnswer: -2, -1, -1\/4, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1932215 - -5?\nAnswer: 193221a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {v: 4, m: 2, a: 5, q: 1, d: 4}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67705812 divided by 6.\nAnswer: -11284302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*v - 44*v - 2*v)*(-7 + 2 + 15).\nAnswer: -1630*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3258*q**2 + 27*q - 65. Let f(n) = 1628*n**2 - 14*n + 33. Let z(k) = 9*f(k) + 5*x(k). What is the second derivative of z(w) wrt w?\nAnswer: -3276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267718760 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5 = 5*d, d = -0*d - w + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -415 - 4?\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -7*g**5\/30 + 7*g**3\/3 + 4*g. Let q(r) be the second derivative of p(r). Let x(t) = -t. Calculate x(q(o)).\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3563045987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czs when three letters picked without replacement from {h: 1, z: 1, c: 1, s: 1, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 2*r = -22, -49491*m + 49486*m = r + 23 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10*a**3 - 8*a. Let i be (-50)\/(-30)*(-2 + -1). Let g be b(i). Round g to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -312 in -1\/2, 5.2, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 4) + (33 - 28) + 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, -2\/7, -0.1, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 65. What is the remainder when y is divided by -1*(-21)\/(9\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5364653*b**3 - 25*b + 133417.\nAnswer: 32187918*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-10 + -11 + 61 + -16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/((-10)\/104) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 664548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-21)*(-22)\/(-220)*45?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 34.1. Let a = -38.4 - d. Round a to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r + 4*i = -13, 10 = -5*i. Let z(v) = -2 + 2 + 9*v**2 + 1. Does 3 divide z(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -1479835.\nAnswer: -1479834.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from udeuddpddvwdu?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*(sqrt(245) - -1*-2*sqrt(245)) + (1 + -4*sqrt(245) - (sqrt(245) + (0 + sqrt(245))*-5)))**2*-2.\nAnswer: -7872 - 448*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j - 13. Let v(x) = -6*x + 8. Let k(o) = -14*o + 17. Let n(s) = 2*k(s) - 5*v(s). What is 6*b(t) - 13*n(t)?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 376 = 5*v - 394, 2*a - 5*v = -38 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 210. Which is the closest to r? (a) 4 (b) 0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 668*i. Let q(v) = -83*v**2. Calculate q(d(a)).\nAnswer: -37036592*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-30)\/(1\/(15\/(-30))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*q - 167*q - 72 = 0. What is the smallest common multiple of 45 and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {s: 3, b: 5, w: 1, y: 4, c: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/12*(-673)\/((-1665675)\/550)\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f - 14*f - 130 = -35*k - 32*f, 180 = 4*f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 144669805?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*117*(-4)\/(-12).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3423918 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 + 62*o + 444. Let j be s(-8). What is the third derivative of 104*i + 87*i**4 - 2*i**2 + 52*i**4 - j*i**4 + 84*i - 194*i**4 wrt i?\nAnswer: -6216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/(-6)*(-3)\/((-18)\/(-20)). List the prime factors of 10\/t - 388\/(-5) - 2.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34228\/1138081)\/(44\/38)*(-11)\/4.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -4, 238, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -6, 2, -2\/13, 1 in descending order.\nAnswer: 2, 1, 0.2, -2\/13, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191529*c*m**3 - 3*c*m**2 - c*m - 244*c + m - 170 wrt m.\nAnswer: 1149174*c*m - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-17)\/1326*-26*-61?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 80 and -2.67.\nAnswer: 77.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/14*(-11)\/(44\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (104 - 167 + 98)*(-8*w + 0*w + w + w**4) in the form q*w + z*w**3 + r*w**4 + o + u*w**2 and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 397471*l**2 + 3*l - 6. Let b be x(1). Is 20\/90 + 2*b\/72 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 524355.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 44. Let p = 3 + -5. Suppose y - 4 = -5. Sort y, h, p in increasing order.\nAnswer: p, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 2*f**2 - f - 3555*f - 6*f**2 + 3555*f + (3*f**2 + 0*f**2 + 2*f**2)*(-1 + 2 - 2).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 331 - 139. Let i = p - 272. Calculate the remainder when (-14 + -1)*64\/i is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 3*d**2. Let a be q(3). What is the least common multiple of (-4)\/18 - (-120)\/a and (-18)\/(-5) + (-2)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -523565 (base 9) to base 16\nAnswer: -4beea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (14 + -9 + -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 651 = -9*r. Let y = r - -104. Let o = -17 - -34. What is the remainder when o is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 421222 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/4))**(-14)\/((k**0*k)\/k**(3\/4)) assuming k is positive.\nAnswer: k**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 4*x + 2 - 9*x.\nAnswer: -6*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (171 - 50 + 51)*(-p**4 + 3*p**4 + 0*p**4) - 7*p**4 - p**4 - 3*p + 0*p in the form z*p + s + o*p**4 + i*p**2 + r*p**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*j + 333709 = 401682 for j.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -1\/20 (c) 0.3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/6 (b) 0.05016 (c) -1 (d) 6\/13 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2 = 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*w - 2*w = 98. Solve -5*t = -2*q - 10*t + 10, -3*q - 7 = w*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(252) - 1*2*sqrt(252)))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 - -73. Solve 8*s - 14*s = -k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 21. Let z(g) = -41. Let v(j) = 144. Let n(a) = -5*v(a) - 18*z(a). Let i(x) = 3*k(x) + 4*n(x). Determine i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4644534 a multiple of 1491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 123 = -93. Suppose 6*k - u = 15*k. Suppose -11*w = -15*w. Put w, 3, k, -3 in decreasing order.\nAnswer: 3, w, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*y + 8*y + 15*y**3 - 21*y - 29*y + 73*y - 14*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -986 + 986. Which is the second smallest value? (a) -1\/18 (b) h (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 1, q: 1, t: 2}. Give prob of picking 1 d and 2 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6 + 3*t - t + 2*t + t. Let q(y) = -1. Let h(p) = -f(p) - 6*q(p). Let c(l) = 3*l**2. Give c(h(k)).\nAnswer: 75*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5 + 2*g + 4 + 3*g. Let f be q(-3). Let x(z) = -z - 2. Let k(v) = 1. Let t(h) = f*k(h) - 3*x(h). Let m(w) = 4*w**2. Determine t(m(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 145\/1932 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5010 divided by 10?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.04, -0.2, -25, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31013 + 110?\nAnswer: 31123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 3, s: 4, u: 1, c: 5}. Give prob of sequence ff.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/10)\/1*-5. Let d(x) = -x**2 - 19*x + 5. Is d(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s - 5. Let j(m) be the third derivative of -m**4\/4 + 5*m**3\/6 - 1927*m**2. What is -2*d(c) - 3*j(c)?\nAnswer: 4*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 + -5 + 14 - -8.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o - 15 = -24*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 82, 63, 44, 25, 6, -13?\n\"Answer: -19*s + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(2 + -16))\/((-5)\/(-280)*-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 4*s**3\/3 - 16. Let i(c) = -2 + c + 2. Determine x(i(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 18*i - 11*i + 60 + 13*i - 5*i**2 = 0?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (18\/4)\/((-66)\/(-88)) - -27280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/((-48)\/72)*-6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/10*6\/4. Let q = 76 - 384\/5. Put 3, j, 4, q in descending order.\nAnswer: 4, 3, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.7 - 19.55. Let v = -92.35 + l. Round v to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h**3 - 3*h + 2. Let l be x(1). Is l greater than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 5*r - 2. Let c be ((-2)\/(-5))\/((-2)\/(-20)). What is the remainder when 3 is divided by z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 16 = -5*g, -2*g - 16 = -3*x - x. Let l = 5 - x. Solve r - 6*r + k = l, 5*k = 5*r + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.922*-1\nAnswer: -0.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 197 = -87. Solve 0 = 5*p + h + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z - z**3 - 19*z**2 - 6*z - 4*z + 4*z**2 - 6. Let a = -41 - -27. Is s(a) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(931))*-6*2)**2 + (4 + ((sqrt(931)*-1)**2 - sqrt(931)) - ((sqrt(931) - (sqrt(931) - ((-1 + sqrt(931))**2 + sqrt(931)) - sqrt(931))) + -4)).\nAnswer: 2009*sqrt(19) + 134215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 1, s: 1, v: 2, a: 3, l: 5}. Give prob of picking 1 s and 1 a.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 + -68. Suppose 2*t - b = 22, -9*t + 5*b = -7*t - 62. Solve t*u = -22 + i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(7\/2)\/c)\/c**(-2\/3)*(c*c**(-7))\/((c**(-4)*c)\/c) assuming c is positive.\nAnswer: c**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 133*l**2 - 212*l**2 - 1 - 1.\nAnswer: -345*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 - 206 + 282*x**2 + 410 + 606*x**2.\nAnswer: 888*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sevenths of a week in minutes?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24442370 and 453?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -12. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 37509?\nAnswer: -4\/37509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 - 15*h**2 + 27*h**2)*(0*h - 3*h + h)*(2*h + h**2 - 2*h).\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1701756 divided by 1\nAnswer: 1701756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1 - n**3 + n**2 - 9*n**2 - 5*n - 9. Let r be (-1 - 2)\/(6*(-5)\/(-80)). Let a be w(r). Calculate the greatest common divisor of 48 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4573072260 to the nearest integer?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -215908*c**2 - 227956 wrt c?\nAnswer: -431816*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -79, -98, -113, -124, -131?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 525 + -19427\/37. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109? (a) -0.2 (b) -0.1 (c) 4 (d) 3 (e) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 16 = 14. Solve 10 = 4*a - x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -192*v**3 + 9*v**2 + 9*v. Let i(m) = 96*m**3 - 4*m**2 - 4*m. Calculate -4*f(q) - 9*i(q).\nAnswer: -96*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 7. Solve 2 = -0*t + w*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + (sqrt(7) - (0 + sqrt(7)))*4.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-128)\/(-20)))\/((((-38)\/19)\/(-8))\/(-3))?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 306*y + 5040.\nAnswer: -2*(y - 15)*(y + 168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*c + 15 + 41, 14 = y - 2*c. What is the remainder when 84\/(-8)*(-36)\/7 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*c + 18, -3*d + c + 8 = -21. Suppose 11*q = d*q. Suppose -3*m + 0*m - 300 = q. Round m to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44378*b**3 - 2*b**2 + 2*b - 29.\nAnswer: 266268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z + 6*z + z)*(7*z**3 - 20*z**3 - 12*z**3) to a*z**2 + p + d*z**4 + n*z**3 + y*z and give d.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (16 - 22) - (24 - 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(1*(-3 - 1)) + (3 - -55). Solve 7 = -17*z + u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(2*y + 0 - 6*y**3 + 4*y**3 + 2)*(43*y - 21*y - 40*y).\nAnswer: 36*y**4 - 36*y**2 - 36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*(h**(5\/4)*h)\/h)\/((h\/h**5)\/((h**(-2\/11)*h)\/h))*(h**(-2\/17)\/h**(3\/5))\/(h*(h*h*h\/h**(2\/3)*h)\/h*h*h*h)**(-33\/2) assuming h is positive.\nAnswer: h**(418321\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-10 - -13) + -4 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v**5\/3 + 32228*v**4\/3 + 250936*v**3\/3 - 418772*v**2\/3 - 1215400*v - 1002912 = 0. Calculate v.\nAnswer: -31\/4, -3, -1, 4, 2022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*h + 688*h - 10516 = 389*h for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 divided by 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -14, -46, -90, -146?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 2*s + 34813 = 211453. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*b + 127*b - 996. Is b > 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2770, 3289, 4124, 5269, 6718, 8465?\n\"Answer: -l**3 + 164*l**2 + 34*l + 2573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*t + 3)*(-1496 + t**2 - 1713 + t**3 + 1082) in the form f*t**2 + o*t**3 + w + m*t**4 + a*t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (0 - -1) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -144628 divided by -36157?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6502 + -9685. Let m = 1550 + z. Let b = 19453\/12 + m. Calculate the common denominator of -113\/6 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 413\/21180 - 1\/353. Let w(y) be the third derivative of 0 + 0*y**5 - 1\/2*y**3 + o*y**6 + 0*y**4 + 0*y + 3*y**2. Differentiate w(k) with respect to k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5\/4 - 39*k**4\/2 + 249*k**3\/4 + 239*k**2\/2 - 162*k = 0. Calculate k.\nAnswer: -81, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -105673*y**2 + 1745*y**4 - 72183 + 255360*y + 4240*y**3 - 111847*y**2 + 2210*y**3 + 45*y**5 + 26103 = 0.\nAnswer: -24, 2\/9, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 13. Let y be z(-13). Suppose 0 = 4*s - y*s + b - 20, 0 = -3*s - 5*b + 32. Solve -s*h = -13 - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103799258477 - 69?\nAnswer: -103799258546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbaabf. Give prob of picking 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/y**6)*y*y**3)\/((((y*y\/(y**2\/y))\/y*y)\/y)\/y)**(-25) assuming y is positive.\nAnswer: y**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 3*i**2 + 2*i**3 + 0*i**3)*(-3*i + 2*i + 4*i).\nAnswer: 6*i**4 - 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94221923 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -10)\/((-8)\/(-28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 5 - 27) + (-182 - -168)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/10))\/s*s**(-2\/21)*(s*s**(1\/5)\/s)**(1\/20) assuming s is positive.\nAnswer: s**(31\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 451519\/22 - 20520. Let r be -14 - (-1 + 0)*2. Calculate the common denominator of (-106)\/r - 3\/9 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 5, 172, 1, -4, 4 in ascending order.\nAnswer: -4, 1, 4, 5, 26, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -461\/6. Let d = 0.431 - -0.069. Let v be (3\/19)\/(3\/2). Which is the biggest value? (a) t (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -158, -245, -334, -425?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 1, 14, 268, 4 in decreasing order.\nAnswer: 268, 14, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18154*m + 17 + 17 + 18194*m - 36262*m to the form k*m + x and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -68, 6, -41.3, 3\/2?\nAnswer: -41.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v**2 + 2*v - 1. Let q be n(1). Solve -d - 1 = 3*o + q, d - 3*o = 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**5\/20 + u**4\/3 - u**3\/6 + 2*u**2 - 27*u. Let w be d(-4). Does 38 divide -1 + w\/(3 + 1) - -94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlllmmmmllmlmmml. Give prob of picking 3 l.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 3)\/(4 + -3). Let l(z) = 6*z**3 + 14*z + 6 + h - 4*z. Let m(r) = -r**3 - r - 1. Let v(p) = -l(p) - 8*m(p). What is t in v(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42602 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*b + b. Let f(m) = -2 - 4 - 1 - 4 + 6*m + m**2. Calculate f(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 10 + 7 + 11*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 r when three letters picked without replacement from {q: 3, d: 5, r: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 387611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnn when three letters picked without replacement from hhhhhhhnhhhhhnhhhhnh.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 0*a**2 + 0*a**3 + 9\/5*a**5 - 21*a - 14 + 0*a**4. What is the derivative of u(t) wrt t?\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 23*n**2 + 6*n - 14. Calculate the remainder when r(2) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**2\/8 + 7464183*b\/4 + 3732093 = 0?\nAnswer: -2, 4976124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661 + 377 = -85*d + 9113 for d.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 2*q + 9. Let y = 20 - 13. Let d(j) = -j**3 + j - 4. Calculate y*d(l) + 3*m(l).\nAnswer: -l**3 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/145 and -98\/2175?\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.1 - -7.4. Let s = 27 - x. Let t = 0.434 + -2.434. Which is the nearest to -3? (a) t (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17891639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (1 + 2)*(-16)\/(-6) and (4\/(-5))\/((-2)\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92948671.82 to the nearest 10000.\nAnswer: -92950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 335?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -53*b + 471. Let x be n(9). Let r be -1 + x\/(-4) - (-1104)\/32. Calculate the greatest common factor of r and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8)*w\/(w*w**4)*((w\/(w\/w**(3\/7)*w))\/w*w*w)\/w**(-1\/2) assuming w is positive.\nAnswer: w**(-155\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1195)\/5019)\/(5*(-6)\/(-105)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 11115012.9\nAnswer: 2223002.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -457672 - -180780144\/395. Let g = h + -4\/79. Which is the closest to -0.2? (a) g (b) -2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4212085157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a7 - -29?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 23*v**2 + 2*v**3 + 3*v - 352*v**4 - 50*v**2 + 3 + 26*v**2 in the form t*v**4 + l*v**2 + x + g*v + o*v**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -5*i**4\/6 + i**3\/6 + 10*i**2 - i + 6. What is the derivative of u(k) wrt k?\nAnswer: -20*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 202 + (0 - 20\/(-5)). Suppose -2*s + 0*s = -t. Calculate the remainder when s is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 + 12*i**2 + 5*i**5 - 12*i**2 + (3 + 1 - 2)*(i**5 - i**5 - 2*i**5).\nAnswer: i**5 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261559622 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, g: 1, p: 1, e: 4}. What is prob of picking 1 p and 1 m?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2017?\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 5:23 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 3 + 8\/4. Let l(c) = c**2 - 5*c + 6. Let o be l(v). Find p such that -8\/3 - 2\/3*p**4 - 26\/3*p**o - 8*p - 4*p**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 92*j - 212. What is o(-90)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -651 plus 41298208?\nAnswer: 41297557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 14 = -2*a, -5*k + k - 21 = 5*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 8*r**2 + 12*r - 5. Let s(d) = d**3 + d**2 - d - 1. Let u(h) = -f(h) - 2*s(h). Let z(q) = -q**2 - 2*q + 6. Let j be z(-5). Give u(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, x: 1, t: 3}. What is prob of picking 1 x and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 0*t + 0*t**2 + 8\/3*t**6 + 0*t**4 + 13 + 4*t**3 + 0*t**5. Find the third derivative of q(a) wrt a.\nAnswer: 960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18919?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 - 164. Let y = -37 - u. Let m = 66 - y. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3 - 48*x**2 - 144*x = 0. What is x?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 331*g**2 - 474*g - 960. What is c(-2)?\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4 + 9928*r**3 - 12260886*r**2 - 148453984*r - 136183168 = 0 for r.\nAnswer: -11, -1, 2488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-74)*-7*(-1)\/14. Is -1 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2)\/2*3150\/(-350).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 10*y**2 - 10*y - 9. Let g be j(11). Suppose -g = -c + 2. Suppose -3*k - 4*f = 4, 2*f = -c*k + 5 + 3. Solve 3*d - k*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 + 3*h + 3. Let s(g) = -44*g**2 - 28*g - 28. Determine -28*j(p) - 3*s(p).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 20*m + 28. Give j(17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q - 2*q + 4*q. Let i(w) = w. Let u(t) be the third derivative of -t**5\/60 + t**4\/4 - t**2. Let p(a) = -6*i(a) + u(a). What is v(p(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9421243 months to centuries.\nAnswer: 0.00245177025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045608 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23783386.\nAnswer: 2, 11, 31, 43, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -152166\/5, 0.05, 3, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 1436540.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2541 (base 8) to base 12.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 46*p + 52. Determine l(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 1. Let b(c) = -8*c + 23. Let w(k) = 3*k - 8. Let p(v) = -6*b(v) - 17*w(v). Let a = 141 + -143. Calculate a*i(x) + p(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -400, -1008, -1974, -3364, -5244, -7680?\nAnswer: -10738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 600\/(-52000)*15\/9.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -28351?\nAnswer: 28342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -13*c**2 + 355*c - 354. Let v(g) = 14*g**2 - 356*g + 355. Let u(n) = 13*m(n) + 12*v(n). Factor u(x).\nAnswer: -(x - 342)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 662*j**3 + 15*j**2 - 27*j + 4. What are the prime factors of k(2)?\nAnswer: 2, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642 = 7*x + 779. Let d = x + 200. Let w(h) = h + h + 4 - 1. Let a(y) = -y**2 - 2*y - 4. Determine d*a(g) - 4*w(g).\nAnswer: 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)*-1 - 2. Let s(z) be the first derivative of z**4\/4 + 4*z**3\/3 + 2*z**2 - z + 3. Let j be s(a). Sort -3, 1, j.\nAnswer: j, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 626872985?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8672 times 0.2\nAnswer: -1734.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**2 + 180*v + 180. Let i(z) = -5*z**2 + 179*z + 180. Let n(x) = 5*i(x) - 4*o(x). Factor n(l).\nAnswer: -5*(l - 36)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.16 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 198271*p + 1. Let q(j) = -2*j. Calculate q(c(x)).\nAnswer: -396542*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 9. Suppose 0 = -0*x - x + v. What is the least common multiple of x and (-93)\/(-24) + (-23)\/(-184)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (5 + 0 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + a + 2. Let v(t) = -505*t**2 - 793*t + 4. Let c(r) = -2*m(r) + v(r). What is the second derivative of c(w) wrt w?\nAnswer: -1018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a - 540 = -2*j, -3*j - 3*a + 789 = 0. Suppose 3*d = 2*d + j. Suppose 4*v + v = d. What is the remainder when v is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149101983 is divided by 219.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*5 - sqrt(85)\/sqrt(500))*5 + -2.\nAnswer: -2 + 299*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 2*s**2 - 2*s + 1. Let y be h(1). Suppose 3*t - 13 = y. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1544608 and 376?\nAnswer: 1544608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3865 and 0.5.\nAnswer: -3864.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 5:22 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(7 + -3)*-12. Let n = w - -49. Let g(i) = -12*i + n - 43. Let o(v) = -3*v. Determine g(o(t)).\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -423535 divided by -12101\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2331 - 1415. What are the prime factors of z?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 7*i**2. Determine x(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 24 = 3*k. Suppose -r - 15*a = -18*a + 10, 3*a - 2 = 5*r. Suppose -r = -5*x + k. Calculate the smallest common multiple of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29711 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/1639 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 953731680346473 minus 0?\nAnswer: 953731680346473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.945 - -2.06. Let q = -1.885 - x. What is the third smallest value in 0.5, q, -0.06?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.5, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*a + 7290 = 314*a. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 + 9 = 17*p. Solve 0 = -p*x + x + 5*a, 2*a = -x + 13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0154043 to four dps.\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2741, 2675, 2609, 2543?\nAnswer: 2477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**6\/90 + g**5\/15 - g**4\/6 - 4*g**3\/3 - 6. Let r(p) be the third derivative of u(p). Let r(o) = 0. Calculate o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -135*o - 1. Let f(i) = i**2. Give f(x(g)).\nAnswer: 18225*g**2 + 270*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 620, -10014 in decreasing order.\nAnswer: 620, 25, -10014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*3*40\/(-96)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12658 divided by 2\nAnswer: -6329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 393619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -58*w**2. Let n(g) = 3*g + 35. Let k(a) = 2*a + 25. Let m(c) = 7*k(c) - 5*n(c). Give z(m(r)).\nAnswer: -58*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxne when four letters picked without replacement from {v: 3, d: 3, n: 1, b: 1, x: 4, e: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(72) + 1)**2 + (sqrt(72) + -2*sqrt(72))*1.\nAnswer: 30*sqrt(2) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**4\/4 + j**3\/3 + j**2 + j - 3. What is the units digit of y(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(12) + 5 + sqrt(3)*-4)**2 + (2*(sqrt(243)*-2 + sqrt(243)) + -2*sqrt(243) + 0 + sqrt(243))**2.\nAnswer: -24*sqrt(3) + 2234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3456 and 891.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-8\/5))**(-7)\/(w*w**(-8)*w*w\/(w\/(w\/(w*(w\/(w**(-4\/13)*w*w*w))\/w)))))**(-3\/13) assuming w is positive.\nAnswer: w**(-2829\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 4*t - 15, 3*z + 102*t - 106*t + 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201120102 (base 3) to base 6.\nAnswer: -421102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 8 = o - 3, k = -5*o. Let l be 2\/k + (-297)\/(-5). Suppose j = -4*x + l, 5*j = x - 48 + 7. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122409 by 1827.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56 - -24c?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14473*l - 29536*l - 8848*l - 107321*l.\nAnswer: -131232*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 - 162399*s - 3572657\/2.\nAnswer: -(s + 11)*(s + 324787)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*k - 61*k + 60*k + 648*k to the form i*k + q and give i.\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6373774, -12747562, -19121378, -25495228, -31869118, -38243054, -44617042?\n\"Answer: -h**3 - 8*h**2 - 6373757*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1740 and 9628.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 54492188543854.\nAnswer: 54492188543856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 - 3*d**3 + 7*d**3 - d**3 - 3*d**3 + 3*d**3 + (5*d**2 + 6*d**2 - 7*d**2)*(-2*d - 3*d - 3*d) as y*d**3 + g*d**2 + l + u*d and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133\/11 + 921\/88. What is the common denominator of r and 2 - (-177)\/18 - -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(9\/(-6) + 3). Let s(o) = -3*o**3 + 3*o**2 - 3*o + 1. Let f be s(2). Let z = f + 27. Solve z = 5*g + j*x, g + 0*x - x - 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 571032 and 82503.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 - 10936 + 15516 - 4577 - 5*u**2.\nAnswer: -12*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:20 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 688455431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 48*o + 52*o + 168 = 0, 0 = -4*h - 2*o + 386. Solve -i = h - 95 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*q - 76590 = -57*q. Let d(m) = 23*m + 15318 - q. Let j(w) = -3*w. Give j(d(c)).\nAnswer: -69*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-240)\/2520)\/(2\/(-7)))\/((-2)\/(-6999978)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1239 and 354?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 5*h - 4. Let u = 71 + -66. Determine s(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3646407214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138 is divided by 585?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2690, 5388, 8084, 10778, 13470?\nAnswer: 16160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1929604 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((1*sqrt(220) - sqrt(220))\/sqrt(10))\/(sqrt(44)\/(-1*sqrt(4))))**2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 + 22*f**2 + 24*f + 5. Let t be j(12). Let b(w) = 3*w + 1. Let n(a) = 7*a + 3. What is t*b(d) - 2*n(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1322 + 904. Let c = m + -2226.0000004582. What is c rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16480601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttsqtttssqtts. What is prob of sequence stqs?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-6)*(-7)\/(-84)*2\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460608 times -5?\nAnswer: 2303040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 56. Let q = t - 22.6. Round q to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i**2 + 239121 + 239125 + 239137 - 717385. Let u(c) = -6*c**2 + 1. Let x(k) = 4*k + 1. Let r be x(-1). Calculate r*l(h) - 7*u(h).\nAnswer: 3*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14453, -115589, -390093, -924647, -1805933, -3120633, -4955429?\nAnswer: -7397003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1550640261?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16\/9, -0.1, 3\/8, 0.1, -283?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - p - 3*p = -8, -5*s + 5*p - 25 = 0. Let g = s - -4. Differentiate g*j + 3*j - 2*j - 4*j + 2 wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/1544891 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*r - 3*r + 26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64081493 is divided by 213.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 5\/(-3))*-6. Suppose -q - 117 = b*q. Let p = q + 69. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -73*b**2 - 42*b + 115. Let z(u) = 201*u**2 + 125*u - 347. Let n(c) = 11*w(c) + 4*z(c). Factor n(a).\nAnswer: (a - 3)*(a + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/1329 - 63799\/9303. What is the common denominator of t and 6\/169?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4)*(-1 + 1 - p) + (-3 + p + 3)*(-2 - 1 + 1) - 2*p + 0*p + 0*p + 18*p - 13*p + 12*p - 4*p - 2*p + 4*p.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18145 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13413 + -3300?\nAnswer: -20013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1531024 is divided by 102067?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138 is divided by 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -6c00?\nAnswer: 6c04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*i**2*m*o**3 - 2*i**2*o**3 + 2*i*o**3 + 7*m*o + 2*o**3 wrt i?\nAnswer: -118*m*o**3 - 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 - -6 - 777\/(-112))\/(1\/6). Which is the third smallest value? (a) l (b) 1 (c) -7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 + q. Let g = 36 + -37. Let i be p(g). Differentiate o**i + 10 + 8 - 10 wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -341*j - 21. Let k(a) = -227*a - 13. Give -5*c(r) + 8*k(r).\nAnswer: -111*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31518063*j**5*p - 9*j**3*p - 13*j**2 - 3549636*p wrt j.\nAnswer: 1891083780*j**2*p - 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnccnnnincnnnoon. What is prob of sequence oc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19799 is divided by 275.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76e0e (base 15) in base 10?\nAnswer: 377789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 + 1020*v**2 + 18673*v + 301. Give k(-19).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 1. Suppose 3*n - 3 = 3*h + 33, 0 = 4*n + h - 23. Let y(q) = -q**3 + 7*q**2 - q + 7. Let m be y(n). Determine s(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + 0.05. Which is the third biggest value? (a) -0.1 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -8.3. Let s = -4.6 - -5.2. Let q = s + m. Which is the closest to q? (a) -1\/6 (b) 3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 4, 0.4, 0.73?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0233709 rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1551534 (base 6) to base 11.\nAnswer: 634a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 18\/13, -3, 3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 19*n + 19. Let x be k(19). Suppose -4*f + x + 5 = 0. Calculate the highest common divisor of f and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -0.15671245966301?\nAnswer: 0.84328754033699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2. Let u(x) = x. Let a(o) = 4*o. Let i(l) = 4*a(l) - 18*u(l). Determine h(i(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -708, -2517, -6080, -11985, -20820, -33173, -49632?\nAnswer: -70785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28544 is divided by 5277?\nAnswer: 2159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -555?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*a + 15. Let p(v) = -v**3 + 6*v**2 - 6*v - 7. Let d be p(a). Let k(r) = -r + 14. Is k(d) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15963907283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3926 + 3925. What is the biggest value in -37, r, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5352*q + 7549.\nAnswer: -5352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0*j**3 + 0*j - 34*j**2 + 2 + 49\/24*j**4 + 13\/60*j**5. What is the second derivative of g(l) wrt l?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 6 + (1 + -9 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4744617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1146 = 4*d + 4118, -1301 = d + 4*b. What is d rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 1 - 15. Let i(m) be the second derivative of -m**5\/20 + m**4\/4 + 7*m**3\/6 - 4*m**2 + m. Let y be i(w). Solve 4*l = 3*n + 3, -y = -n - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 + 64 + (0 - 0 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(833) + sqrt(833) + -3 - (-2 + sqrt(17) + sqrt(17))*6)**2.\nAnswer: 54*sqrt(17) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 803 and 166012.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 59*h - 13. Let y be f(4). Let p = -39 + y. Suppose -10 = 6*m - p. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -70. Let p = h + 29. Find q such that -1 + 2*q + 13*q + p + 2*q**2 - 7*q = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 + 161. Let j be ((-12)\/56)\/((-2)\/(-4)). Let s = 48 + -48.4. What is the closest to 0 in l, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - -1. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -493744\nAnswer: -1\/493744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1475 + 555 + 5*f**2 - 282 - 4*f**2 - f - 3014 to the form c*f + y + z*f**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 + 3*a + 3. Suppose h - 6*h + 5 = 0. Let s(m) = 4 + m**2 + 3 - 6 + m. Calculate h*f(k) - 4*s(k).\nAnswer: k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -233, -3\/7, -3, -0.3?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -448528 - 349472. What is q rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5710.\nAnswer: 2, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 2\/8*32\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*((2*q - 2*q - q)*(3 - 6 + 4) + 0 + 0 - 3*q - 2*q - 6*q + 3*q).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6630 + 13270 - 6640 - 86*o.\nAnswer: -86*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8196 is divided by 2175.\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-11 - (-18 - -12))) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 85 = 7*n - 2*n, 5*v + 241 = 3*n. Let r = 50 + v. Let o be 2*2\/12*3. Which is the nearest to -2\/5? (a) -1 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((255\/(-17))\/15)\/((40\/(-1150))\/4)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 17 = -2*h, -3*h = -p - 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -235 - -41425?\nAnswer: 41150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w + 6274 = 178*w - 2302. Solve -30*x = -w*x + 74 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 at most as big as 223821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1987 - -1986. Which is the second smallest value? (a) -4 (b) s (c) 0.1 (d) -6\/7 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -10*v + 20*v - 63860. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28513 - -619?\nAnswer: 28b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2*z = 11 - 44, 21 = u + 4*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9) + sqrt(9)*-3)*-6.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 3*d - 11. Let w(p) be the first derivative of -p**3\/3 + p**2\/2 + p - 97. Let u(l) = q(l) + 2*w(l). Give u(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 (base 12) in base 2?\nAnswer: -11111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(14)\/(sqrt(28)\/sqrt(4)))*-1 + -2 + (1 + sqrt(2) - sqrt(2)) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 12*i**2 + 14*i - 14. Suppose -5*z - 4*x = -3*x - 135, -104 = -3*z + 4*x. Let c = z + -21. List the prime factors of l(c).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47, 90, 133, 176?\n\"Answer: 43*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:45 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 388534357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39204 and 1267893.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -981913, -1963814, -2945703, -3927574, -4909421, -5891238, -6873019, -7854758?\nAnswer: -8836449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 3*r - 4. Let i be g(-3). Let o = -3.1 - -3. Which is the second smallest value? (a) i (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 6*m - 26, -14*m - 28 = 2*b - 18*m. Sort b, 42, -5, -14.\nAnswer: -14, -5, b, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -583*l**2 - 4453 + 4453.\nAnswer: -583*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -28656 and -28655 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 15) to base 7.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108135 divided by -15.\nAnswer: -7209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25883310, 25883315, 25883320, 25883325, 25883330, 25883335?\nAnswer: 25883340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwyzwwzrsyrb. Give prob of sequence swzb.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2017.1 - -2017. Which is the nearest to g? (a) -2 (b) -1\/12 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23547.\nAnswer: 3, 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 19. Solve z + 2 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 19*t + 1. Let p be s(-5). Let a(h) = 6*h**2 + 19*h - 215. Let i be a(6). Let m = p + i. What is the highest common factor of m and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16246747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10873327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*a - 14*a + 27*a - 5038382. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 52493, 0, -69 in descending order.\nAnswer: 52493, 4, 2, 0, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(3\/13)*c)\/c**(-9)*c**5*c**(-9)\/c assuming c is positive.\nAnswer: c**(94\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (45 - (1 + 52)) + -2 + 39\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 3*b - 16*b**2 + 7*b**2 - 18*b**2 - b - 35. Let n be h(-1). What is the highest common divisor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4247 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-12)*(18\/45)\/(1\/(-4)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5435 divided by 2\nAnswer: 5435\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 79.94249 millilitres?\nAnswer: 0.07994249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 873 or 874?\nAnswer: 873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18\/2029 - -287555\/292176. What is the common denominator of 143\/36 and g?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7243 + -7223. Solve 2*v = m - 14, 0 = 22*v - l*v - 5*m + 38 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -0.692.\nAnswer: 0.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = 2, 48 = 5*y + 2*z. Let r(n) = -n + 4. Let o be r(11). Let a(j) = 2*j**2 + 9*j - 6. Calculate the remainder when a(o) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-44)*1952\/(-1464)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3602*l - 151090 + 81930 - 140410 - 46172 = 0 for l.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 364, 727, 1096, 1465, 1828?\n\"Answer: -j**3 + 9*j**2 + 343*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39837 and 589967.\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -980 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iibiiiiiibiii. Give prob of picking 2 b and 2 i.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -21100110?\nAnswer: 21100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= -69531\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1791.5 to the nearest ten.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(10)\/(sqrt(200) - (sqrt(200) - -3*sqrt(200))) + (sqrt(300)\/sqrt(5)*4)\/(sqrt(192)*2).\nAnswer: -4 + 7*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2. Let a(n) = -5*n + 5*n + 7*n**2 + 0*n. What is a(d(l))?\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s + 8 = -30. Let y(g) = g**3 - 136*g - 1 + 136*g + 3*g**2. What is the units digit of y(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 4*h**2 - 4. Let j be o(2). What is the biggest value in j, 0.5, -2\/33?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202045.\nAnswer: 5, 17, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - k - 3 = i, -2*i - k - 3 = 0. What is the third derivative of -2*p**4 + 2*p**4 + 4*p**6 + p**2 + i*p**4 wrt p?\nAnswer: 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/2 + 1195776*m**3 + 17936415*m**2 + 89681700*m + 298938375\/2.\nAnswer: 3*(m + 5)**3*(m + 797169)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -3, 340 in increasing order.\nAnswer: -3, -2, 1, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -2*v + n, -3 = -3*v + 4*n. Suppose 6*p + 40 = p - 5*d, 13 = 4*p - v*d. Let h(t) = 2*t + 1. Determine h(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 1 + 20. Let t = g + 11. Let b(y) = t*y - 2*y - y. Let n(i) = 3*i**2. What is b(n(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -14, -0.3, -3\/4, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -1)\/((-20)\/6). Let o = -0.14 - 0.06. Which is the second biggest value? (a) -5 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9221645 and -0.2?\nAnswer: 9221645.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.32. Let q = v - 0.02. Sort q, -0.5, -0.2 in descending order.\nAnswer: q, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*a - 266*a - 538*a = 437*a + 65331 for a.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -8\/13, -19, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**6\/30 + f**4\/8 + f**2 + 3*f. Let w(p) be the first derivative of n(p). What is the second derivative of w(h) wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + 0*b**3 - 2*b**3)*(17*b**2 - 44*b**2 + 0*b**2)*(-3 + 4 - 3)*(4 - 2 - 1).\nAnswer: -54*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424 (base 11) to base 5.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1216a6 (base 11) to base 6\nAnswer: -4043122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1742 + -15616\/9. Which is bigger: 7 or q?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13568 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 13*x - 46, 5*z - 5*x + 4 = -46 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, g: 2, s: 3, e: 5}. Give prob of sequence qqsg.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k - 4. What is the lowest common multiple of z(-3) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = i - 3*i + a, 3*i + 5*a + 21 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 60, 101, 136, 159?\n\"Answer: -m**3 + 6*m**2 + 30*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 616\/9 + -58. Let a = -91\/9 + f. What is the closest to a in -9, -1\/7, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + i + 24 = 2*i, -3*i = 4*g - 17. Let o = g + -5. Let x = 9 - o. Calculate the greatest common factor of x and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-47 - (0 - -5))*689\/(-2). Let j = h - 12761. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -676 + 784. Suppose v*o - 113*o = -230. Calculate the remainder when 59 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -n + 13, -6*s + 5*n + 196 = 140 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27885 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 25 - p**2 - 17 - 3*p**2. Let t be -10 + -11*(-50)\/55. What is x(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3\/7, -8, 48\/11, 5, -129?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57304.\nAnswer: 2, 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*p - 6*p + 6*p - p**3 + 2*p**3 wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48479565 to the power of 1\/2, to the nearest integer?\nAnswer: 6963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12249*z**2 - 4 + z**3 + 6138*z**2 + 2*z**4 + 0 + 6140*z**2 to d*z + y*z**4 + v*z**2 + g*z**3 + k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10348 divided by -10348\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 724527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 81? (a) 0.3 (b) 167 (c) 2\/55 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 103, 200, 351, 574, 887, 1308?\nAnswer: 1855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 7712.\nAnswer: 1\/1928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 16*v - 64. What is the remainder when f(29) is divided by 127?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 240377.97 months?\nAnswer: 20.0314975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/1 + 0 + 3. Suppose k*p + 2*j = 256, 2*p + j - 228 = 6*j. Suppose 4*d - 328 = -p. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 + 3*n**2 + 6. Give b(3).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6 > -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -494 + (3 + -2)*1*2. Let f be 6\/(-9) + (-310)\/n. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -100, 1\/4 in increasing order.\nAnswer: -100, 1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*119*((-56772)\/2907)\/(-166)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522*q = -1155 - 411. Suppose -2*o - 28 = -6*o - 2*x, 4*o = -5*x + 16. Solve q*c + o = -3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:43 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 40549*k**2 - 243330*k.\nAnswer: k*(k - 40555)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6630 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**27*l)\/l**8 assuming l is positive.\nAnswer: l**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234 (base 9) to base 6.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1345439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 - 2*x**2 - x**2. Let l(g) = 13*g - 9. Let z(f) = -162*f + 45. Let k(n) = -5*l(n) - z(n). Give a(k(p)).\nAnswer: 18818*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2. Let l(f) = f + 1. Let h(w) = 11*w - 8*w - 7*w - 5. Let b(g) = -h(g) - 5*l(g). Give r(b(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m**2 - 2*m**2 + 5*m**2)*(128 - 39 - 30) + 49*m**2 - 52*m**2 - 51*m**2 to b + v*m**2 + n*m and give v.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**2\/4 - 80462231*h\/2 - 6474170617497361\/4 = 0.\nAnswer: -80462231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856582.9 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c - 4 = 0, c = -2*g + 648. Let z = g - 35. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = -t + h, -2*t - 5*h + 5 = 0. Let w = -12 - -6. Let s be w\/2*16\/(-12). Solve s*g + g = t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895184 is divided by 1089.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a - 10. Let x(d) = -d**2. Let z(t) = 2*t**2. Let k(y) = a*z(y) + 3*x(y). Let r(p) = -15*p. Give k(r(s)).\nAnswer: 225*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2224 less than -0.015232?\nAnswer: -2224.015232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 2*y = -3*t - 38, 5*y = -3*t - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a + 34*a + 7 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 1260*t - 3825.\nAnswer: 5*(t - 255)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 160*o - 755. Determine r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770 is divided by (4018\/(-196))\/((-3)\/54).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 238\/26 + 96\/(-12) + -1. Let n = -0.07 - 0.43. Let v = -0.5 + n. Which is the nearest to i? (a) 3 (b) v (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/605145 and 79\/435.\nAnswer: 17549205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/11 + -15\/77. Which is the nearest to -0.1? (a) y (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3\/4 - 73495*w**2.\nAnswer: -5*w**2*(w + 58796)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -14, 7\/2, -5 in increasing order.\nAnswer: -14, -5, -0.4, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -10*t. Let w(p) = -1 + 2*p + 4 - 5*p**2 + 0*p**2 - 4. Let n be w(1). Is b(n) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -1a09?\nAnswer: -1a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**3 - 4*z**2 + 10*z - 9. Let s(b) = b**3 + b - 1. Let a(y) = 5*s(y) - u(y). Let i = 15 + -12. What is a(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + (sqrt(114)\/(sqrt(150) - sqrt(6) - sqrt(6)) - sqrt(19))))**2.\nAnswer: -100*sqrt(19)\/3 + 2125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 2*o**7\/63 - 2*o**6\/45 - 11*o**5\/60 + 5*o**4\/9 - 11*o**3\/18 + o**2\/3 + 11*o. Solve f(r) = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m + 80*m - 7*m = -1386. Let d(k) = -k - 5. Let x(j) be the first derivative of -j + 1. Give m*x(c) + 2*d(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 173*n - 169*n + 36. Let p(h) = 42*h - 59. Let o(y) = -7*y + 10. Let a(d) = 39*o(d) + 6*p(d). What is the hundreds digit of a(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 260 = 1072. Let w = u + 729. List the prime factors of w.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202784 divided by 1?\nAnswer: -202784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 4. Let x = o - 3. Let j(s) = 26*s + 4. Let r be j(x). Calculate the greatest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*y + 12 - 93, 3*w - 3*y = 207. What is the remainder when w is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - 5. Let o = v + 22. Which is the second smallest value? (a) -0.5 (b) -3 (c) -9 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.68 + 20. Let f = b + 2.68. Let v = -3 - -3. Sort -2, f, v in increasing order.\nAnswer: -2, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2988821, -0.4, 0.4, 4\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 13 = 5*t + m, 5*m - 5 = 3*t. Let c = -2901 - -2972. Suppose 3*p + 4*i - 271 + c = 0, t*p = -3*i + 348. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16138 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f. Let o(j) = -7*j - 4. Let m = 113 + -114. Let x(l) = l**2 + l - 1. Let q(v) = m*o(v) + 4*x(v). Calculate q(r(h)).\nAnswer: 16*h**2 - 22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7) + (-6)\/21. Let h = -1 + 1. Suppose -l - 2*l = h. Is b >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n**(-4)*n))\/n*(n**2*n)\/n*n)\/(n**(1\/7)\/(n\/(n\/(n**8*n)))) assuming n is positive.\nAnswer: n**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, c: 1, r: 6, d: 1, e: 2}. What is prob of picking 2 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 445596 to the power of 1\/2, to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -5, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-3 - (-2 + -1 + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -279098234 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*a - 84*a = 24354. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 343048712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 2*x - 2*b, -34 = 3*x + b + b. Let o be (-2)\/x + 615610\/280. Let y = o + -2188. What is the common denominator of 32\/11 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 310234, 310231, 310224, 310213, 310198?\n\"Answer: -2*u**2 + 3*u + 310233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*n - 5*n - 64 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*m + t, 2*m - 460863 + 460941 = -4*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 29 = 5*o + 44, 2*o - 2*m + 14 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 = -2*n. Let i(o) = -24*o - 1. Is i(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*u - 2 + 46 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 52 = 2*f, -f + 3*z = 4*f + 88. Let k(r) = 2*r - 14. Let p be k(-6). Let a be 5\/f + p\/(-8). Solve -a = -v - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83450.\nAnswer: 2, 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 32, 39, 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 992 - 405. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -487.857333 to the nearest 10.\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.85 - 0.15. What is the nearest to 0 in t, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575250050 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1109530 divided by 10.\nAnswer: 110953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*p = 17, 4*p - 35 = -5*m - p. Suppose -5*x + 6 + 2 = -2*z, -z - m*x + 5 = 0. Let b be 4 - 0\/3 - z. Solve -k - b*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27556 and 17596.\nAnswer: 1460468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1269 and -5.2?\nAnswer: 6598.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 11) + 1 - -8 - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**4 - 2*t**3\/3 + t**2\/2 - t - 12. Suppose -1304*q + 1301*q - 6 = 0. What is d(q)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6438)\/(-13949))\/(2\/182)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 849996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171198, -171207, -171220, -171237?\nAnswer: -171258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnqgmmqfnqqgfqqm. What is prob of picking 1 g and 3 m?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 5*h**2 + 6*h - 4. Let f be x(4). Let l = 32 - f. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191349 = -629*d - 137884 for d.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 2\/7, 10\/53, 0.5, -0.1 in decreasing order.\nAnswer: 0.5, 2\/7, 10\/53, -0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1623 times -2\nAnswer: 3246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -1. Suppose -2*j = 2*r + 8, -4 = -5*j + g*r + 16. Solve -2*v - v = j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573807757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1869, 3830, 5791?\n\"Answer: 1961*s - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (5 - 11) - (-1935)\/(-210)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4332298*r**2 + 333*r + 82991 wrt r?\nAnswer: -8664596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-12))\/((-4)\/(-16)). Let b = 3 - -107. Let m = b + -100. Solve -f = i*q + 25, -2*q - 4*f - 18 = m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 13. Let j be v(-7). What are the prime factors of j*(-34)\/(-3)*24\/(-32)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 710 by 11074.\nAnswer: 355\/5537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524998 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times -3.3?\nAnswer: 122.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 7*p + 360. Let i = p + -80. Calculate the greatest common divisor of 16 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from gbhb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**6\/840 + 2*q**5\/105 - 5*q**4\/42 - 9*q**2\/2 + q - 22. Let z(v) be the first derivative of p(v). Solve z(g) = 0 for g.\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*1152\nAnswer: 691.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(29\/(15573\/(-6))) is divided by 46.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4899 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 4 (c) 1 (d) 5 (e) -0.5 (f) 39105 (g) -7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, l: 9, k: 4}. Give prob of sequence khkl.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/14120 and -14\/215660055.\nAnswer: 1725280440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -866 + 855 - ((3 - 0) + 17)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134688944 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i + i**2 - 3*i**2 + 6*i - 4*i in the form w*i**2 + m + o*i and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a day in hours?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -583 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42675647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 3*b = 15*k - 29, 5*b = 5*k - 10. Sort 2, k, -3, -2.\nAnswer: -3, -2, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 736253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**3\/4 + i**2\/2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*s + 15*s - 10*s)*(19 + 5 - 1)*(0*s - 2*s + s).\nAnswer: -414*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5118689 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*v + 154 - 1161 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-529)\/(-62) - 7\/14) + -144 + 136.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70? (a) 2\/7 (b) 4 (c) -22\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - j**2 - 2*j**2 + (0 + 2*j + 0)*(3 - 3 - j) - 1310*j**2 + 1306*j**2 + 7 - 2.\nAnswer: -7*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 64519 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/21)*t)**(2\/7) assuming t is positive.\nAnswer: t**(44\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -50*b - 95*b + 109*b. Let w(j) = j**2. Give w(p(v)).\nAnswer: 1296*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -15 - 31 - -69?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(3\/43)*s*s**(-3)*s**7 assuming s is positive.\nAnswer: s**(212\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053*u**2 + 1037*u**2 + 1036*u**2 - 6*u + 6*u - 4163*u**2 + 1035*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 862.9 and 2?\nAnswer: 1725.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 341 + -243. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 4 = -7*c. Let q be (1\/1)\/(c\/18). Suppose 3 = 3*z + q. Is -2 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 11*l**2 - 12*l - 12. Calculate the remainder when g(-10) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 - 169 - (-28 - -12).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**4\/120 - d**3\/60 + 3*d**2\/10 - 18*d + 10. Let f(u) be the first derivative of y(u). Factor f(t).\nAnswer: -(t - 2)*(t + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1715*f**2*y**2 + 242*f**2 - 4*f*y**2 + 158*f*y + 2*f + 71*y**2 + 1 wrt f?\nAnswer: 3430*y**2 + 484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -9\/2*q**2 + 3*q + 0 - 17\/6*q**3. Is c(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(5\/(-1635)*3). Let t = 115 - j. Suppose t*i - 43 = -19. Solve 2 + i = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63282 + 44740362\/707. Let s = -39652\/3535 - z. Let g = -5631 + 50729\/9. Find the common denominator of g and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(280)\/sqrt(175))\/(2*sqrt(1152)) - (-5 + (sqrt(60)\/sqrt(3)*-1)**2)).\nAnswer: -90 + sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 a when three letters picked without replacement from asaszxxcxsscxxsa.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.9 - 8.9. Sort -0.5, -2\/7, -2\/3, n in descending order.\nAnswer: n, -2\/7, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a decade in months?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*k - 3, c = 2*c - 3*k - 3. Solve 4*v + 3*d = 23, d + c = v + 3*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 216*r**2 + 5*r - 6. Let z be v(2). Let y = 873 + z. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -629*a**2 + 19*a + 79. Let p be f(-5). Let c = 409329\/26 + p. What is the common denominator of (-14)\/(-21)*(-38)\/24 and c?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3141 + 5?\nAnswer: -3134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 146*s + 11*s - 13.\nAnswer: 157*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01602 rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 p, and 1 n when four letters picked without replacement from qqpqpqn?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 253932.636 to the nearest 100.\nAnswer: 253900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n - 15. Let t(v) = -7*v**2 - 1. Let r(a) = 8*a**2 + 1. Give n*r(u) + 6*t(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2\/11)*i**(4\/15)*i*i**(-1)*i*i*i\/i**(1\/3) assuming i is positive.\nAnswer: i**(619\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 - -75. Let k = 207.2 - 207. Put 12, q, 3\/10, k in increasing order.\nAnswer: k, 3\/10, q, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/129 - 5917\/159315. Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 13 = 17. Let u(x) be the third derivative of x**5\/60 - x**4\/8 - 5*x**3\/6 + 6*x**2 + 60. Give u(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231885714?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 744 - 737. What is the remainder when (11\/2)\/((-3)\/(-18)) is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 h when three letters picked without replacement from yhhyyyk.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8162 is divided by 78.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 0, 4.\nAnswer: 0, 4, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3\/3 - 1648*y**2\/3 - 1645*y\/3 - 137 = 0.\nAnswer: -411, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 100, 102, 106, 112, 120?\n\"Answer: f**2 - f + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0*u*u**3)**(-41)*(u*u**(-1\/4)*u**0)\/((u\/(u*u**(3\/2)))\/u**(-1\/10)) assuming u is positive.\nAnswer: u**(-4057\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -18 (b) -14\/9 (c) 2\/7 (d) 7 (e) 1\/43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1361170.15 rounded to the nearest ten thousand?\nAnswer: -1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*c + 31, 4 = w - 2*c + 3. Let z be (-2)\/(2\/w) + -1. Let q be (-2 - 1) + 187\/51. Which is bigger: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5231, -4803, -4087, -3083, -1791?\n\"Answer: 144*w**2 - 4*w - 5371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 90.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -383 + 389. Solve -52 = -s*i - 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -r + 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(187))\/((sqrt(121) - sqrt(121)*2)\/sqrt(11)).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*y + 6*y. Let v be ((-2)\/3)\/(y\/(-105)). Solve 2*l + 0*l = 5*r - 17, r = v*l + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5267300 to the nearest integer?\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 546 and 51474?\nAnswer: 4684134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 - 12*i**2 - 294*i + 4. Let y(l) = -3*l**3 - 21*l**2 - 589*l + 9. Calculate -7*f(h) + 4*y(h).\nAnswer: 2*h**3 - 298*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = y - 334. Let j = y + -537\/2. What is the common denominator of (-2)\/(-8) - 42\/(-4) and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*d - 6708013 + 918036. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*d - 24*d - 261*d**2 + 138*d - 54*d - 905*d**2 + 2*d**3 - d**4 in the form b*d**2 + m*d**3 + n*d + v + g*d**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m**3 + m - 1. Let f be b(1). Suppose -10*u + 51 = -f. Let p(s) = s. Let n be p(5). Solve -9 = -n*a + u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 7*i + 2. Let l be ((-6)\/(-9))\/(4\/(-42)). Let a be d(l). Suppose -6*s = -a*s + 8. What is the third biggest value in s, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmsmmsmsmm. What is prob of picking 2 s?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 11*y - 3. Let h(j) be the second derivative of 0 + 0*j**2 + 1\/6*j**4 - j - 1\/3*j**y. Find the second derivative of h(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 3*w**2 - w - 1. Let y be o(-3). What is the third derivative of y - 1 + 14*i**2 - 3*i**3 + 35*i**3 wrt i?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -234*p - 73*p + 7*p - 384*p in the form v*p + b and give v.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -53. Suppose q*m = z + 40, -7*m + 3*m = -4. Let n = z + 61. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52243 and 157316?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2.2. Let d = 0.02 + -0.07. Let m = d - 0.25. Which is greater: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2 + 18. Let z be (p\/(-14))\/(1\/(-2)). What is the closest to -1 in -5, z, 1\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 21 = -4. Let k be (-3 + f\/2)*-48. Suppose -d - k = 5*n, 3*d + 5*n = -2*d - 20. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 168\/35*18\/24*5. What is the highest common factor of k and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8733*w = -9*w - 331512 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 5*z - 4. Let t(n) = n**2 - 6*n - 3. Let o be t(6). Let y be r(o). Solve -y*h - h - 21 = -3*f, -4*f + 23 = -3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*d + 5*y, -10418*y + 10420*y + 74 = -13*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)*t*t\/t**11)**(-6\/29) assuming t is positive.\nAnswer: t**(390\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 188705779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7803106\/262605 + 2\/37515. Let d = -30 + k. Let c be 1\/(-10)*(-10)\/(-4). What is the nearest to c in d, 0.5, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15728, 31452, 47176, 62900, 78624?\n\"Answer: 15724*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 3*w + 4. Let f(p) = p**2 + 2*p + 5. Let i(n) = -3*f(n) + 4*q(n). Determine i(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*f**3 - 90*f**3 - 109*f**3 + 1 + f + 196*f**3 wrt f.\nAnswer: -396*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*c**3 - 6*c**4 - 615*c**5 + 611*c**5 + 9*c**4 + 2*c**4 - 32*c**2 + 3*c**4.\nAnswer: -4*c**2*(c - 2)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 1, m: 2}. Give prob of sequence mib.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*35\/(-385)*11)\/((-191)\/(-2)*1).\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s - 1 + 2*s)*(17*s - 29*s + 13*s).\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -21, -29, -39?\n\"Answer: -x**2 - 3*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*i + 29*i + 31*i + 10 + 26*i to the form f + c*i and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3785.907 + 3788. Let w = g - -0.007. Let a = -2.09867 + w. What is a rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -228\/7 + 1168\/35. Factor -2\/5*d**4 + 0*d**3 - 2\/5 + l*d**2 + 0*d.\nAnswer: -2*(d - 1)**2*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -972752.1544 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 2, e: 1}. Give prob of sequence ess.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.308 * 1.\nAnswer: -4.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 28*a - 9 - 17 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(((-3)\/(-5))\/3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1582039 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 1. Suppose 289 = 5*h + 4*u + 259, -13 = -4*h - u. Which is the third smallest value? (a) -5 (b) k (c) -0.2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3559 = -205*c + 7736 - 2070 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 41. Let g be (2 + -14)*(28\/(-8) - n). What is the derivative of g - 9*j**3 + 34 - 6*j**3 wrt j?\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/332, 9.219, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5*622\nAnswer: -3110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**5\/20 - t**4\/2 + 2*t**3\/3 - t**2\/2 + 4*t. Is o(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 r when four letters picked without replacement from {e: 2, r: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 827 + 791 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -20. Suppose -r = -g - 7. Let o = r + -201. Round o to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:09 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*k - 26 = -17, 4*o - 2*k - 4 = 10*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76530 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 4. Let l be y(-9). Let s = l + 8. Let z(m) = 3705*m**3 + 8*m**2 - 8. Let f be z(s). Round f to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/1065 and -1\/4473?\nAnswer: 22365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/75)\/(0\/(-1) + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-104)\/10)\/((-52)\/(-60) + -1)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + sqrt(76) + -5 + 5*(sqrt(76) - (-5 + sqrt(76) + 3)))**2 + -5.\nAnswer: 44*sqrt(19) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 9083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnnnnjnnnnn. What is prob of sequence nn?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1)\/(-1) + 11. Let y(m) = m**3 - 6*m**2 + 7*m - 1. Let w be y(5). Let k = w - -2. What is the highest common divisor of k and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2046, -2182, -2412, -2736, -3154?\nAnswer: -3666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6981 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-12))\/(v*(v*v**(19\/5))\/v*v) assuming v is positive.\nAnswer: v**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 17*h - 12*h. Solve -s = -h*s + 2*x, 3*s + 25 = -2*x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b**4 + 230*b**3 + 7949*b**2 + 11*b. Let t(f) = 5*f**4 - 114*f**3 - 3975*f**2 - 6*f. Let c(p) = 6*n(p) + 11*t(p). Suppose c(m) = 0. Calculate m.\nAnswer: -63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110513 (base 11) in base 14?\nAnswer: -48379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213213 - 21310213?\nAnswer: -22130032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 728627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjrr when four letters picked without replacement from jrrjrjjjjjjjrjjr?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-432488)\/5005 + (-6)\/(-10). Let q = v + 1086\/13. Calculate the common denominator of -45 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -377, 0.1, 2, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25 + 38*i - 2 - 11 - 6*i wrt i?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*r - 25, 0*p - 4*r + 12 = 4*p. Suppose -p*x + 6 = -2. Let o(s) = 3*s - 3. Let w be o(x). Solve w - 9 = -2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away 1434774?\nAnswer: -1434782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302 divided by 291?\nAnswer: 434\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2987*r**2 - 2*r - 2953*r**2 + 2*r.\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1655?\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 353, -3, 0, -5 in descending order.\nAnswer: 353, 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 8 - 1977*t**2 - 4 - 2 + 1773*t**2.\nAnswer: -204*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3*l - 17, -2*d + 3*d - 4*l + 1 = 0. Let f(p) = 7 + 9*p - 5*p - 3*p. Let o be f(d). Let v(j) = 2*j**2 + 2*j + 1. Determine v(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65912 is divided by 8232?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8025\/308 <= -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8 = 5*c, -4*c = 2*o - c - 16. Suppose -13 = -3*m - 6*g + 2*g, 4*m - 4*g = o. Suppose -23 = 2*i - m*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(77) + sqrt(77) + sqrt(77)) - sqrt(77) - sqrt(77) - (sqrt(77) + -2*sqrt(77))*3)\/(5*sqrt(275) - sqrt(11) - 1*sqrt(11)*2).\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q - 9*q**2 - 5*q + (-3*q**2 + 5*q**2 - q**2)*(0 + 4 - 3).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -41299447.63+-2287\nAnswer: -41301734.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -21.7. Let a = 0.7 - l. Let y = -0.7 - -2.7. What is the third biggest value in a, y, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/3 - (-4)\/(-6). Let l(u) = -7*u + 3. Let p(g) be the second derivative of -5*g**3\/2 + 5*g**2\/2 - 119*g + 4. Determine x*p(n) + 5*l(n).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 779238181*i**3*q - 2*i*q + 4759*q + 22207 wrt i.\nAnswer: 4675429086*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62757 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + 4*f**2 - f - 33. Let h be r(-4). What is the third biggest value in 2\/13, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1980235 and 488020.\nAnswer: 102972220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + -9)*76\/(-10).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -11. Let i = z - 5. Which is the biggest value? (a) i (b) 4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13504442 less than -13504439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*m - 2*m - 3700 = 0, 2*m = -q + 931. Let s = q + -610. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25956 divided by 8652.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 36, -1\/10, 25?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 4*p - 1. Let f be i(-3). Suppose 22 - 2 = -4*h, -f*h - 9 = -4*c. Let g(o) = o**2 - 4*o + 3. Let t be g(3). Sort c, t, 4 in decreasing order.\nAnswer: 4, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6910 by 691.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from xxxexexxxxxxwewexxxw?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 = f, 4*f = 2*t. Solve -t*z + 5 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 4, -5, 0.3, -1, 556?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -641, -1454, -2605, -4100, -5945, -8146?\nAnswer: -10709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-45)\/(-39) + -1)*(14 - 1). Sort -7, 0.05, q, 4 in descending order.\nAnswer: 4, q, 0.05, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3793641559?\nAnswer: 109, 1229, 28319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooeoopeepoppp. Give prob of picking 1 o and 3 p.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m - 3*m + m - 1 - 4*m. Suppose 33*i - 1 = 32*i. Let d(b) = 3*b - 2. Suppose 5*a + 23 - 3 = 0. Give a*w(r) + i*d(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372*1.6.\nAnswer: 595.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -f + 12, 42 = 3*f + 2*a + 41 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbnb when four letters picked without replacement from bbbntttbn?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1756752714 + -3?\nAnswer: 1756752711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 8:59 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16926 is divided by 805.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -32b0 (base 13) to base 15\nAnswer: -2167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:20 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7048 - 7048 - 366821*w**2.\nAnswer: -366821*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 12*n**2 - 14*n + 3. Let t be d(-13). What is the common denominator of 6\/(-21)*(-34)\/t and -38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 18*h - 89. Give p(-15).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.8 (b) -41 (c) -0.3 (d) 1\/4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 11:03 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + (-4*sqrt(1008)*-1*2*1)**2 + -5.\nAnswer: 64507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-8)\/12)\/(22\/6) and 3\/(-9) - (-542)\/60?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/18 and 91\/2937306.\nAnswer: 8811918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 255 or 7882\/31?\nAnswer: 7882\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(28))\/sqrt(7) - sqrt(4))\/(1*sqrt(14)\/sqrt(7)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-92 - -93) + 4 - -78\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -29*c - 4. Let m(w) = -15*w - 2. Suppose 191*g = 179*g + 60. What is g*m(h) - 2*j(h)?\nAnswer: -17*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, 10, 5, -1 in descending order.\nAnswer: 10, 7, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - -1 - 19)*(8 + 3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 0 + 7\/20*p**5 + 0*p**3 + 0*p**4 + 11\/120*p**6 + 0*p - 16*p**2. Find the third derivative of w(i) wrt i.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390.8434mg in kilograms?\nAnswer: 0.0003908434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -16\/21?\nAnswer: -16\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 1114 = -0*h + 1294 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 147 divided by 2\nAnswer: 147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 525976707 to the power of 1\/3, to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 393*p*u**3*x**2 - 2*p*x + 7*u**3*x**2 + 17*u**3*x - 7*u**2*x - 4*x wrt x?\nAnswer: 786*p*u**3 + 14*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 6. Let l(n) = -1. Let z(k) = h(k) - 6*l(k). Let w(x) = 1 + 178*x - 1 - 198*x + 0. Determine w(z(f)).\nAnswer: -80*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*n + 12, 0*s - 5*n - 22 = s. Let z be 23\/s - (-8)\/(-12). Calculate the greatest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -20*m**3\/3 - 3*m**2\/2 - 8. What is the second derivative of i(c) wrt c?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -627 + 3?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -645 - -17985?\nAnswer: 17340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -13. Let q = 10 - z. Let y = 5 + q. Calculate the highest common divisor of 52 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 155 - 5 = 0. Let z = -13 + y. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64191630 and 720?\nAnswer: 1540599120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 6 (b) -0.1 (c) 3\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(32) + 0).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -62047 to the nearest one thousand.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-4*3 - -1). Let z = 12 + b. Suppose 5*l = z*l + 118. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.15 (b) -5\/4 (c) 1\/18 (d) -4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 541*b + 4386. What is l(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95888 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**6\/120 - 13*j**5\/60 - j**4\/24 + 17*j**3\/6 + 4*j**2. Let a = 1 + 3. What is the lowest common multiple of n(13) and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1671211*g**4*l + 63*g**2*l - 310*g*l + 63*g - 20*l + 4 wrt g.\nAnswer: -20054532*g**2*l + 126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and -2700231602?\nAnswer: 2700231592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -3*g**5\/10 - g**2 - g. Let j(v) = -13*v**3 + 5*v**3 + 2 + 7*v**3 + 8*v**3. Calculate 5*j(m) + 6*p(m).\nAnswer: -m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*t - 12*t + 16*t + 1104 = 0 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -10. Let u be v + 3 - (-5)\/(10\/(-4)). Sort u, -5, -1, 2.\nAnswer: u, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - a + 1. Let w(s) = 2*s**2 + 2*s - 4. Let t(d) = -3*h(d) - w(d). Let b = 7 - 4. Is t(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -706\nAnswer: 211.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*t - 6*t**3 - 67*t - 56*t to l + v*t + g*t**3 + k*t**2 and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3952.868nm to centimeters.\nAnswer: 0.0003952868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -951 (base 16) in base 13?\nAnswer: -1116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r - 2. What is the nearest to r in 1, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 424183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 845580, 845572, 845562, 845550, 845536?\nAnswer: 845520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*d + 3*a = -50*d - 8, a = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Suppose -162*y - 1009 = -163*y. Let m(p) = -449*p**2 + y*p**2 - 499*p**2. Determine m(o(w)).\nAnswer: 61*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.059 + -6.\nAnswer: -5.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2099*c**3*f**3 - 9*c**2*f**3 + 31*c*f**3 + 52*c*f**2 + 11*c + 2*f**3 wrt c.\nAnswer: -12594*c*f**3 - 18*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 - w**4 + 5*w**4 + (1263 - 84*w**2 - 1263)*(w**2 - 3*w + 3*w) - 77*w**3 - w**4 + 0*w**4 + 83*w**3.\nAnswer: -83*w**4 + 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326780?\nAnswer: 2, 5, 16339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 3:33 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**3\/3 + 7*t**2\/2 - 6*t. Let b be g(-16). What are the prime factors of (20\/b)\/(4\/(-220))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/20 + (-32)\/64?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 - 6*a**4 + 2*a**4)*(0*a + 4*a - 2*a)*(-3 + 3 + 3).\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2499*f**5 - 16*f**4 - f**3 + 299*f**2 - 3*f - 2.\nAnswer: -149940*f**2 - 384*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**5\/60 - l**4\/3 + 7*l**3\/6 + 5*l**2. Let m be r(7). Solve m = u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + k**2 - 2 - 7*k**4 - 5*k**3 + 8*k**4 - k as j + l*k**3 + b*k**4 + w*k**2 + c*k and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9177.767ng in tonnes?\nAnswer: 0.000000000009177767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**5\/60 - b**3\/3 - 14*b**2 + b. Let h be 2\/1 - 3\/3. Let p(s) = h + 0 - 2*s**2 + s**2. Determine 2*p(y) + x(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140 + 136. Let w(k) = -k**3 + 9*k**2 + 12*k - 8. Let m be w(10). Suppose m = -7*z + 5*z. Which is smaller: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12)\/c**(-1\/3))**15 assuming c is positive.\nAnswer: c**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.9 + 4. Let p be (1 + (-34)\/40)\/((-99)\/(-88)). Suppose -65*g = 5*d - 62*g - 25, 0 = -2*g. What is the closest to b in d, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.4, 1.3, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3511687 is divided by 39457?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.03 - -4.03. Which is the nearest to 1? (a) -1\/7 (b) -1.6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(77)*-5 - sqrt(77)) + sqrt(77) - sqrt(77))*-4)\/(3*sqrt(11)*2 + sqrt(1584) + 1*sqrt(1584)))**2.\nAnswer: 448\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + -3 + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 7010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -197649.7 and 17.07955.\nAnswer: -197632.62045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38352927 to the power of 1\/2, to the nearest integer?\nAnswer: 6193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0. Let q = 13 + -9. Let z = q + 0. Sort z, v, 1.\nAnswer: v, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/4 of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 6 = 4*j - 1, 2*g + 5*j = 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-6 + 14 + (-12 - -7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5361711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**0)*t**43 assuming t is positive.\nAnswer: t**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1839 - -1819. What is the nearest to -2 in -3, b, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2287, 2297, 2329, 2395, 2507, 2677?\n\"Answer: 2*z**3 - z**2 - z + 2287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d8da8 - -3?\nAnswer: d8dab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87443 is divided by 7580?\nAnswer: 4063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -60.7. Sort s, 2\/13, 0.1.\nAnswer: s, 0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q**3 + 6881*q**2 - 6889*q**2 + 9*q**3)*(8*q - 33*q - 20*q)*(-2 - 1 + 2) to the form b*q**3 + n*q + a*q**4 + k + c*q**2 and give a.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-18))\/(2\/12). Let t be 3\/(-18)*p*-12. Put -3, t, 1 in ascending order.\nAnswer: -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2396984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 0.3, -30, 0.2 in increasing order.\nAnswer: -43, -30, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzllxlglgzgsggg. What is prob of sequence lg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 3. Let w(h) = -h - 2. Let j(s) = 2*g(s) - 3*w(s). Let p(f) = -5*f. Let a(m) = 9*m. Let l(b) = 4*a(b) + 7*p(b). What is j(l(z))?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33701156 to the power of 1\/2, to the nearest integer?\nAnswer: 5805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) - 5\/4. Let c(t) = -2*t + 1. Let x be c(n). Let j be (-4)\/(-10)*(x + 2). Is j at most as big as 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + l**2 - 1. Let p(c) = -2*c**3 - 3*c**2 + 2. Suppose 4 = -5*d - 11. Let k = -5 - d. Calculate k*p(j) - 6*t(j).\nAnswer: -2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 13) to base 8\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150537152 to the power of 1\/2, to the nearest integer?\nAnswer: 33920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7 (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 - 122. Sort 1, -2\/3, -5, y in decreasing order.\nAnswer: y, 1, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 m when four letters picked without replacement from mmiqmqimimimim?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.21 - -0.43. Let y = 2.78 + h. Put 4, y, 0.5 in descending order.\nAnswer: 4, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*m + 4 = j, -5*j - 2*m + 31 = 0. Suppose -j*q = -3*o + 291, 4*q - 80 = o - 2*o. Suppose -o = -3*a - a. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 264852 and 264305 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2232 = -18*g + 118*g - 38*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 18*z = -89. What is the remainder when z is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 7*k**2 + 10*k + 2. Suppose 13 = -4*x + 33. Let t be n(x). Solve -3*l + t = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 17 = j, -23*k = -5*j - 20*k - 72 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9418760*k**3 - 3070*k**2 + 3070*k + 3070. Let l(y) = -9207*y**3 + 3*y**2 - 3*y - 3. What is 3070*l(x) + 3*t(x)?\nAnswer: -9210*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4468240 divided by -1414.\nAnswer: 3160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*l - 20. Suppose 15 - 3 = l*o. Solve o*j + 20 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2\/7, -1\/3, 2\/5, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30650281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*3637.\nAnswer: 254.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*g + 5*c + 5 = -580*g, 5 = -3*c + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 250*u - 1182. Give a(5).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 16, 50, 108, 196, 320, 486?\n\"Answer: b**3 + 3*b**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 160427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 186159 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.52939 times 632\nAnswer: -966.57448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/1702750 and 69\/2383850?\nAnswer: 11919250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 - 60637*n + 6*n**3 + 60612*n - 2*n**3 to the form h*n**3 + o*n + m + k*n**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -4 + 7 + -22 - -11.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 20692?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 870, 763, 658, 555, 454?\n\"Answer: g**2 - 110*g + 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6317324\/945 + -6685. Let p = t + -869\/378. Which is smaller: -3 or p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -8*z**5 - 1405664*z**4 - 61742385266*z**3 + 370514406122*z**2 + 416820492242*z + 108063934286 = 0?\nAnswer: -87857, -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 112 - 7 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 4*b. Let q(z) = -3*z**2 + 11*z. Let y(v) = -11*d(v) + 4*q(v). Let p(c) = 5584*c**2. What is y(p(i))?\nAnswer: -31181056*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33525 and 85675.\nAnswer: 771075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 112*n**2 - 4*n + 473. Calculate the remainder when 536 is divided by q(56).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/5832 and -31\/6804.\nAnswer: 40824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -46728 and -0.12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/5 - 54802*n\/5 - 6096576 = 0. What is n?\nAnswer: -54240, -562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 1) + 2 - -1. Suppose -p*y + 3*d = -d + 1, 5*d - 5 = 3*y. Solve 5 = y*b - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 2106 + 1091 + 1075 + h.\nAnswer: 3*h**2 + h + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10983.954596 + -10984. Round f to 3 dps.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6022.06999 minus 5.895?\nAnswer: 6016.17499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 41 = -5*u, 3*u + 2 = 3*g + 35. Solve -u*x + n - 4 = -x, -18 = x + 3*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/245)\/(5\/(14 + 21))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 340 + 40 = 0. Let v = -14 - n. Round v to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33677 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14724 - -14739. Let v = 175 + -123. What is the remainder when v is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i + 4*i - 379 + 17*i.\nAnswer: 33*i - 379","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + -1 - (-14 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*b + 36*b + 12*b)*(-b + 0 + 0) - 8*b**2 + 10*b**2 - b + 2*b.\nAnswer: -64*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 329*p + 2491. Calculate w(-8).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10535608553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3113 times 5\nAnswer: 1.5565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 27. What is the tens digit of (20 + -3)\/((-2)\/k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -0.103, 0, 11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -67*z**6\/120 + 2*z**4 + z**3\/6 + 120*z**2. What is the second derivative of v(h) wrt h?\nAnswer: -402*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/313? (a) 27 (b) 0 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.21, 3, 0.4 in descending order.\nAnswer: 3, 1, 0.4, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316822 is divided by 316803?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-5)*(-50)\/(-140). Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-9) - (888\/108 + -8). Sort -16, g, -8 in decreasing order.\nAnswer: g, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36016704 and 2432?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 1\/15*b**5 - 5 + 2\/3*b**2 - b - 1\/3*b**4 + 2\/9*b**3. Factor u(p).\nAnswer: (p - 3)*(p - 1)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 1\/4 (c) -0.09 (d) 719\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316573990 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060473515 rounded to three decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1825*y**2 + 272*y**2 - 42*y**2.\nAnswer: -1595*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 34 = -3*t - l, l - 10 = -5*t. Suppose -41 - 4 = -t*c. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6631140 by 2210380.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 10*d**2 - 11*d + 12. Let p be (2 + 10)\/((-3)\/(-2)) - -3. Let g be c(p). Let q(r) = 9 + 8*r + g - 27 + 7. What is q(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -146\/7*a - 72\/7 - 2\/7*a**3 - 76\/7*a**2 = 0.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q. Let g(m) = -87*m**2. Give i(g(n)).\nAnswer: -522*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9588*i**4 - 12546*i + 2?\nAnswer: 115056*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 313135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + j**2 - 16*j + 18. What is the tens digit of r(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2875 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + t**2 + t - 7. Let z be i(0). Let r(f) = -f**2 - 8*f - 1. Let g be r(z). Let v(w) = -w**3 + 9*w**2 - 11*w + 3. Does 15 divide v(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 - -2.1. Sort -2, d, -10 in decreasing order.\nAnswer: d, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2 + 619*h - 23409. Calculate n(89).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 288.05 + -265. Let d = -8 + g. Let y = -15 + d. Put 2\/5, y, -0.3 in ascending order.\nAnswer: -0.3, y, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1840.8 - -1841. Let g = 36\/13 + -291\/91. Let r = -0.3 + -4.7. Sort r, i, g in descending order.\nAnswer: i, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 902515?\nAnswer: -902515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11532269 divided by 863.\nAnswer: 13363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 2*g - 5. Let j be x(4). Suppose -2*n - 4*f = 7 + 1, -8 = -j*n - 2*f. What is the first derivative of 2*o**2 + 4 + 1 - n wrt o?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h - 2*h - 5*h. Let s(r) be the third derivative of -r**4\/24 + r**2. Give t(s(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Let j(t) be the second derivative of -t**3\/6 + 9*t**2\/2 - 2*t. Let n be j(10). Let l(p) = -p**2 + 4*p + 2. Determine n*l(w) - 3*y(w).\nAnswer: w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d - 8 = 0. Suppose -5*h + 4*o + 207 = 0, -4*o - 44 - 7 = -h. What is the remainder when h is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1773, -3507, -5249, -6999, -8757, -10523?\n\"Answer: -4*f**2 - 1722*f - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 less than -31305000803?\nAnswer: -31305000800.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35234371 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(112\/147)*(-9440)\/2065.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811376907.\nAnswer: 23899, 75793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834 is divided by 89?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -192 - -215. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*x + 2*h, 3*h = -2*x + 33 - 9. Suppose -f + 4 + x = -2*s, s + 12 = 4*f. Factor -35*p**4 + 5*p**2 - 185*p**f + 87*p**3 + 63*p**3 + 40*p.\nAnswer: -5*p*(p - 2)**2*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-140)\/3)\/((-4)\/6). Suppose 3*p + 14 = g, -5*g + 0*g = 4*p - f. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + -3 + -2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4971 is divided by 2401.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 46, 6, -3 in increasing order.\nAnswer: -5, -3, -2, 6, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 7:15 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Suppose -o - 19 = -z*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1082, -0.3, 2.\nAnswer: -1082, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.48 times -1?\nAnswer: 163.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/6 + 48\/36. Let u be (0 - 4\/6)*-3. Let i be -2*(-1)\/(-6)*u. Which is smaller: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 1, x: 1, q: 5}. What is prob of picking 2 q and 1 x?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.14 + -0.14. Which is the third smallest value? (a) 1 (b) o (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 255.37546 to one dp.\nAnswer: 255.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240842668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757*o**2 - 1 + 1 + 0.\nAnswer: 757*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*b - 0*b + 2, 2 = 5*l + 3*b. Let o = 4 + l. What is the smallest common multiple of o and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-2))\/((-2)\/(-16)). Suppose -36 = 4*q - p*q. Calculate the remainder when 34 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/750 and 69\/282800?\nAnswer: 4242000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**6\/3 + l**4\/4 - 393*l**2\/2 + 377. What is the second derivative of b(u) wrt u?\nAnswer: -40*u**3 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 14*t + 64 = -12*w, 4*w - 49 + 11 = -2*t + 9*w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + i - 1)*(6*i - i - 3*i) + 4 - 4 - 9*i**2)*(-3 + 3 + i**2).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/8*(-4164)\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggoggooogooggo?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*i = -131*i + 13152. Calculate the remainder when i is divided by 49.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 6:56 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5018 + -3.5. Round w to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + j - 6*j - 3*j**3 + 58*j**2 - 59*j**2 in the form s*j**2 + y + k*j + v*j**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3 - 19*j**2*m**2 - 18*j**2 - 297*j*m**2 + 2*j*m wrt j?\nAnswer: 6*j - 38*m**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 180798 * 0.4\nAnswer: 72319.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3425 + 3471. Solve -n - 2 = -b, -55 + q = -3*b + 4*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 - 98*n\/3 + 3124\/3.\nAnswer: -2*(n - 22)*(n + 71)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86496148\/4509 - 19183. Let p = -3172\/4509 - o. Calculate the common denominator of -79\/36 and p.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 + 178. Solve a*s - 24*s + 12 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 764 - 759. Sort -2\/3, -2, 0.5, o.\nAnswer: -2, -2\/3, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(1 - 3*c - 1 + 10*c + 7 - 7 + (-2*c + 3*c - 4*c)*(4 - 3 + 1)) to the form k*c + t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11*i**3 - 24*i**2 + 837*i - 8. Let x(u) = 23*u**3 - 49*u**2 + 1675*u - 14. Let a(y) = 7*j(y) - 4*x(y). Find the second derivative of a(k) wrt k.\nAnswer: -90*k + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.6686477 rounded to zero decimal places?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven eighths of a second?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108 + 160 - 100)*(2*t**2 - 5 - t**2 + 12).\nAnswer: -48*t**2 - 336","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 3*c + 3*c)*(-3*c + 2*c + 2*c) + (-5 - 12 + 0)*(0*c**2 - c**2 + 0*c**2).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 22*g - 2. Give z(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 8:49 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 m, and 1 o when three letters picked without replacement from {o: 4, h: 1, u: 1, m: 1, q: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(-11*(-13)\/1716)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -274, -625, -1118, -1759, -2554, -3509, -4630?\nAnswer: -5923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 45. Suppose 0 = m*y - 13*y - 144. Let a be -4*(-3)\/(-66) + y\/(-33). Solve -v - a*v = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/321 in 3, -0.1, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.88 - 0.12. Let u = -6.5 - j. Let d = -1.2 + 0.2. Sort u, d, -2 in increasing order.\nAnswer: -2, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*h = 67944, 2*h - 2380 = -5*b + 82494. List the prime factors of b.\nAnswer: 2, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 13) in base 16?\nAnswer: e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -28. Let j be (f + 0)*(-12)\/(-84). Are 4 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 678 - 36b24?\nAnswer: -36468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 + j**2 + 6*j**2 + (-5*j + 0*j + 2*j)*(3*j - j - j) + (4*j - 2*j**2 - 2*j - 3*j)*(-36 + 6 - 13).\nAnswer: 90*j**2 + 43*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.39715 micrometers in kilometers?\nAnswer: 0.00000000639715","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -27535538+-85.756\nAnswer: -27535623.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 1. Suppose 4*t = -2*i + 50, 2*t + 5*i = 2*i + 35. Let s be (-1)\/2 - t\/(-4). Solve 4*a - h + u = 0, -4*h + 3 = -s*a - 3*h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752165117?\nAnswer: 3, 194685013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49731745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/((3\/(-14))\/(-1)). Suppose z + 28 = 3*z. Calculate the greatest common factor of z and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0914 * 0.03.\nAnswer: -0.002742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*l**2 - 2*g*n**2 - 3*g - 13178930*l**4*n**2 + 580*n**2 - 1927*n + 1 with respect to l.\nAnswer: 4*g*l - 52715720*l**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4186 - -7693. Suppose -14*n + x - 581 = 0. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8423*n + 0 - 8234*n + 0 - 8418*n - 8412*n + 33497*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*o = 143906, -35*h + 993401 + 13780 = 2*o. Is 31 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270867.8l in millilitres?\nAnswer: 270867800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 2333792?\nAnswer: -3\/2333792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356985?\nAnswer: 5, 7, 137, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v + 2. Let x be j(3). Suppose -u + 28 = -5*n, 0*n - 4*n - x = -2*u. Solve -u*k = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1844931 divided by 111.\nAnswer: -16621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/1 + (-9)\/3. Suppose 3*m - 4923 = -4917. Solve h*v - m*v = 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m + 5. Let f(n) = 4361 + 4371 + n - 13093 + 4360. Let p(a) = -a**2 + 7*a - 1. Let h be p(6). What is h*f(o) + c(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 233662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*j - 7. Let r be 2 - j\/(-6 + 4). What is the biggest value in 32, r, -5?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100122200012202 (base 3) to base 12.\nAnswer: -18752b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 0, -4*i + 137 = n + 6. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 = -u + 4, -4*u - 4*y = -12. Suppose 5*g = -20, -u*t - 2*g = t. Calculate the highest common divisor of t and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3337 or 3333?\nAnswer: 3337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38\/9 + 226\/45. Let l = 337 - -59. Let k = 396.5 - l. Which is the second biggest value? (a) k (b) -2\/5 (c) w (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369601579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 19*j + 39. Calculate the remainder when q(-16) is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399*l**3 + 10*l**3 - 72*l**3.\nAnswer: -461*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 103956861 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w. Let o(m) = 6*m**2 - m**2 + 264 - 514 + 264. Give a(o(r)).\nAnswer: 55*r**2 + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -20.4. Let r = 0 + -0.1. Let g be (58\/203)\/((-2)\/28*3). Which is the nearest to -2\/7? (a) r (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 5*t**2 + 8*t. Suppose -4*p + u - 36 + 11 = 0, 27 = -5*p - 3*u. Calculate b(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - 1.3. Let d be (6\/15)\/(8\/(-30)). Which is the closest to 2? (a) d (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -56, 3 in increasing order.\nAnswer: -56, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -32*j + 543. Let i(h) = -23*h + 365. Determine 7*b(d) - 11*i(d).\nAnswer: 29*d - 214","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 954 and 42.\nAnswer: 6678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5 + 530*s**4 + 545*s**3 - 1070*s**2 = 0. Calculate s.\nAnswer: -2, 0, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by -595.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 12. Let s be x(21). Let p(b) = 5*b**3 - 9*b**2 - 29. Let y(w) = w**3 - 2*w**2 - 7. Let k(o) = s*y(o) - 2*p(o). Determine k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -0.2, 0.9, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1377502.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.49 + -2.99. What is the closest to 2 in 2, 4, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 176 = -3*b. Let w = b - -52. What is the greatest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 42. Suppose -11*n = -u*n - 810. Is n a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 22\/2)\/((-144)\/(-96)). Solve -4*g + m = -4*l, -4*l + 8*l + 8 = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/32*(-91)\/(-63))\/(5 - 495\/100)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2. Let a = 5 + 7. Suppose -z = 17*z - 3*z - 30. Let d(q) = 22*q - a*q - 9*q - z*q. Give d(v(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38 + 622 - 20)*(3 + x + 3 - 6) to the form c*x + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -33830000 to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*i**3*k - 954*i**3 - 67*i**2*k + 200*i**2 - 5*k wrt i.\nAnswer: -102*k - 5724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/9)\/q)\/(q\/q**(1\/3)*q)*(q**(-1\/5))**(-2\/21))**21)**(-13) assuming q is positive.\nAnswer: q**(10387\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 302395843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-5 - -3 - -2). Suppose -c = x - 44 + 4, 2*c - 80 = 4*x. Suppose -4*u = -l*u - c. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -113*w**3 - 6*w**2 + 6*w + 16. Let f(r) = 200*r**3 + 11*r**2 - 12*r - 30. Let b(h) = -7*a(h) - 4*f(h). Determine b(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*y**2 - 374*y + 374*y - 13*y**4 wrt y?\nAnswer: -312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 54*p**2 + 349*p - 30. Calculate s(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**3 - 41*p**2 + 19*p + 72. Calculate m(13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 462981802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4950.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/1)\/(53\/(-265)*(-280)\/(-7))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 10*i**2 - 25. Does 14 divide u(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**3 + 177*z**2 + 7*z - 9359 wrt z.\nAnswer: 6*z**2 + 354*z + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + 299. Let y = j + -369. Which is the nearest to 0.4? (a) -0.4 (b) -4 (c) -1\/7 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 433 in -0.28, -8, 0, -2\/3, -0.5, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + 6*p + 3*p + 12*p - 28*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-8)\/(-6)) + 9\/12*4. Let c(r) = 5*r. Let b be c(1). Suppose 5*w = -b*v + 50, -4*v + 35 = w + 2*w. Solve w*t + 29 = h, -3*h + s + 2 = 2*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167 - -167. Suppose 2*y - 6*y - 4 = z. Sort 2, y, -17 in increasing order.\nAnswer: -17, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/3131114 and 83\/518.\nAnswer: 115851218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18381 times 0.06?\nAnswer: -1102.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -197216*w + 591646. What is n(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703212576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2291.00002444 + 2291. What is q rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 910.9445ml?\nAnswer: 0.9109445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7270059.12999931 + -7270047.33. Let f = -35.8 + 24. Let w = d + f. What is w rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 3*n**3\/2 + n**2 - 3*n. What is the first derivative of o(a) wrt a?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32893, -32905, -32917?\nAnswer: -32929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 + 0*p**2 + p**2 + (-p**2 - 4*p**2 + 4*p**2)*(4 - 2 + 0) + p**2 + p**2 + 0*p**2 + (1 + 1 - 3)*(-3*p**2 + 2*p**2 + 2*p**2).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 4*v - 5. Let g(i) = -3*i - 3. Let t be g(-3). Let l be m(t). Suppose 2*k + 2*f = 70, l*f - 2*f = 10. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 20*v**2 - 22*v - 26. Calculate d(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l + 12*l + 128 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190)\/1026*3\/15.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335 - -215. Let p be ((-40)\/i)\/((-1)\/(-9)). Sort -0.4, -2.4, p, 1\/2.\nAnswer: -2.4, -0.4, 1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 20 = -0*l. Suppose 0*f = -4*a - 4*f - 216, 5*f + 160 = -3*a. Let k = a - -70. Solve -5*o - k = l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 21 + 1 - 11*k - 12. Let g(h) = 10*h - 9. Let m(i) = -6*g(i) - 5*l(i). Is m(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18676 + -18666. Solve 4*o - 1 = 5*k, 4*k + n*o - 24 = 7*o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4052 divided by -3\nAnswer: 4052\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + -0.1. Let w = -3.4 + 7.4. What is the second biggest value in w, 5, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 + 11 + (1 - 3). Let l = p + -14. Suppose -231 = -5*i - l. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -357 - 24?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*v - 0*v - 43, -5*v = -j + 14. Solve -f = -4*f + j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (12 + -9 + -10 + 13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9169694*r. Let u(i) = -3*i. Determine o(u(q)).\nAnswer: 27509082*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -613 take away 2982967?\nAnswer: -2983580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1277 divide 30559500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1309446 * -0.4.\nAnswer: -523778.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1922 is divided by 384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 10:33 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92473?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 14*s - 12. What is the remainder when 93 is divided by i(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315158?\nAnswer: 2, 157579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 + 141*v + 141. Let t be n(-1). Solve 4*r + 29 = -5*d + 4, -3*d - 15 = t*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1060)\/(-6) - (-46)\/(-69). Calculate the greatest common factor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 207446 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(-j**2 + 5*j**2 - j**2) + (-17 + 35 - 24)*(1 - 1 - j**2) + j**2 - 2*j**2 - j**2 + 10*j**2 - 1 + 1.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 73, 21, -2, -6 in ascending order.\nAnswer: -8, -6, -2, 2, 21, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q + 1136 = 9296. Let w = q - 175. Let c(b) = b**2 + 6*b + 9. What is the remainder when w is divided by c(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -1 - (-2 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Let z(u) be the second derivative of -u**3\/3 - 5*u. Calculate b(z(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319390258?\nAnswer: 2, 11, 14517739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -569.21 + 572. Let l = -1.21 - r. What is the smallest value in l, 2\/5, -2\/11, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 24*h. Let m be z(1). Suppose 5*p - 231 = -w, 4*p - 4 = -m. Is 32 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + (8 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**4 + 5*f**4 + 0*f**4 + (4*f - 7*f + 2*f)*(f**3 + f**3 + 6*f**3).\nAnswer: -7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 5. Let n = -7 - l. Let k(v) = 3*v + 1. Let o(b) = -b + 1. Let w(a) = -k(a) + 2*o(a). Calculate w(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24960)\/(-2))\/((-36)\/(-24)). Suppose -10*z + l = -1020. Suppose 619 = j - z. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*d - d - 15, 2*y = 3*d - 21. Let f = -6 - y. What is the biggest value in f, -0.3, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 9*o**2 - o + 10. Let n be s(9). Let x(f) = f**2 - 1. Let z(d) = -3*d**2 - 3*d + 5. Give n*z(p) + 5*x(p).\nAnswer: 2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 773146901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 6*b**2 - 67*b - 420. What is d(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -58. Let i be (-30)\/54 - n\/(-36). What is the nearest to i in -2\/35, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 0.4. Which is the nearest to 0? (a) g (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -24. Sort k, -1\/10, 2\/23, -3\/2 in ascending order.\nAnswer: -3\/2, -1\/10, 2\/23, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-2 - (-4 - (-7 + 5))) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 426*x - 15075.\nAnswer: -3*(x - 75)*(x - 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2949 - 2949. Let r(x) be the third derivative of 0*x + 0 + 0*x**3 + 37*x**2 + 1\/45*x**5 - 1\/90*x**6 + o*x**4. Find m such that r(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344833418.\nAnswer: 2, 1277, 135017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 16*y + 1778 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -172, -259, -348?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -2. Let w(k) = 1. Let u(c) = 5*c + 6 - 3*c + 0*c. Let s(f) = n*u(f) + 5*w(f). What is the derivative of s(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 5*g = -3*l - 6, -7*g - 20 = 2*l - 41 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.99 - -0.01. Let y = -0.196 - -0.496. Suppose 8 + 19 = o - 5*h, 3*h + 7 = -4*o. Which is the smallest value? (a) o (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 8369151*c**2 - 50214933*c + 75322413.\nAnswer: (c - 3)**2*(c + 8369157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3, 0.2, -4\/7, 1\/57, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350, 1413, 3192, 5687, 8898, 12825, 17468?\nAnswer: 22827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.69247 - 252595801.\nAnswer: -252595793.30753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3\/4 - 135*q**2 - 549*q - 552 = 0 for q.\nAnswer: -2, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189493 by 1413.\nAnswer: 189493\/1413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35103.17 + 35073.17346. Let h = -30 - g. What is h rounded to 4 dps?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-29 - 93) + 94)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -1\/3*i**4 + 0*i**2 - 1\/6*i**3 - 3*i + 0. Let s be k(-1). Put 2, s, -4 in descending order.\nAnswer: 2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 487 = -532. Suppose -a = 3*s, -1125 = -5*v + 3*s + 1095. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*r - 4 = -0, -5*b - r + 19 = 0. Solve -w + 2 + b = -g, 5*w - 3*g = 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 67. Let f be 3*5*(-40)\/s. Solve -r - 4*r + f = j, 0 = -4*r + 5*j + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/27 and (-1)\/(216\/497)*-2*10\/280.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - ((-2205)\/(-2352))\/(10\/216))*376.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70524888 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 234, 223, 204, 177, 142, 99, 48?\n\"Answer: -4*l**2 + l + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 20*v - 32. What is the remainder when c(22) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9466 - -0.0534. Let f = 5.7 - 6. Let j = -0.1 + f. Do p and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473790363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(147) + sqrt(147)*-2)*2 + 3)**2 - (-2*(-4 + 1 + sqrt(147) + sqrt(147)))**2).\nAnswer: -1787 + 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 540 and 1890.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = -1. Suppose -5 = d*v - 3*j, 0*j = -v + j - 3. Suppose -18 = -q - 0*y + 4*y, -68 = -5*q - v*y. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 156*q - 4210. Let s be k(27). Put -4, s, 9 in descending order.\nAnswer: 9, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -23. Let a = f - 24. Solve -a*l = -2*v + 12, 5 = -5*l + 5*v - 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, b: 2}. What is prob of sequence tb?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7549 or 7548?\nAnswer: 7549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -11*d**2. Let c(l) be the first derivative of l**2\/2 + 41. Calculate c(b(z)).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -8*o + 12. Calculate y(-7).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 14 + -1 + 0. Suppose -3*r + v = 3*y, r + 2*y - 10 = -3. Let w = -3 - -6. Calculate the smallest common multiple of r and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3046500 rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 13. Let w(u) = -u + 6. Let h(p) = -2*v(p) + 5*w(p). Let t be h(0). Solve -t*r + 3*m = 7*m + 20, 0 = -2*m - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194136619.\nAnswer: 194136619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6629287529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -106 + (11 - -118) + -91 + -20 + 1\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -5 - (27 - (-2 - -10))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/440 and 39\/14465.\nAnswer: 115720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 17889 - 44755. Does 14 divide s\/114 + (5\/(-3) - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**4 + 48*v**2 - v**4 - 2*v**3 + 1516 + 1516 - 3033 as f*v**2 + x*v**4 + t*v**3 + u + p*v and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 30323203?\nAnswer: -30323211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5402*c + 1383*c + 11345*c - 1 + 1 to the form z + s*c and give s.\nAnswer: 18130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -555371\/12 - -46166. Let j = 335\/3 + x. Find the common denominator of j and 77\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2457\/(-1755)*2\/14\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82.9 - -77.9. Put p, 0, 168\/5 in decreasing order.\nAnswer: 168\/5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19900 + -19895. Solve f - 5*k + 11 = 0, 2*f + 9*k = p*k + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/1524, 2, -67, 54, -0.2 in decreasing order.\nAnswer: 54, 2, 1\/1524, -0.2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and 14152.\nAnswer: 24058.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -11*l + 11\/2*l**2 + 0*l**4 + 0*l**3 - 13\/6*l**6 - 1\/20*l**5 - 2. Find the first derivative of g(h) wrt h.\nAnswer: -260*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 93350 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + v - 3722 = 0, -1478 = 200*c - 202*c + 5*v. What is the highest common factor of c and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 19. Let l = 74 - 105. Let r = n - l. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 1128*p + 21924.\nAnswer: 4*(p - 261)*(p - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*r = -1, -29555*m + 29554*m = 5*r + 22 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84652 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 5*o**2 - 2*o - 7. Let i(c) = c**2 + 1. Let x be 35\/56*-4*2. Give x*i(l) - k(l).\nAnswer: -2*l**3 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2449280, -2449292, -2449294, -2449280, -2449244, -2449180, -2449082?\n\"Answer: x**3 - x**2 - 16*x - 2449264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 41670*m - 38738440.\nAnswer: -5*(m - 7268)*(m - 1066)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q + 4*i + 8, -q + 3*i + 6 = 0. List the prime factors of q + 2 - -4 - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 + -551\/7. Let x = 14 - 14. Which is greater: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2405 + -2409. Put 1, f, -107 in increasing order.\nAnswer: -107, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 48. Suppose 4*d + p*x = 54, d = -3*d + 5*x + 61. Let o be (21\/d)\/(21\/6). Which is the closest to -2? (a) o (b) -1.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgxgmmgxxgggxgxlgm. What is prob of picking 2 m and 1 g?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -173 + 75 - 24*f + 100 + 2*f**2. Let q be b(12). Solve q*n - 3 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/9 - (-1086)\/27. Suppose 72 = -8*l + 161*l - 1152. What is the highest common factor of g and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6876772579?\nAnswer: 74507, 92297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-24)*-3)\/((-2)\/168). Calculate the highest common factor of 28 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/3570*1)\/(3\/36*-3)*21.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*i + 8*i - 9*i)*(-19 - 21 - 4)*(4*i - i - 4*i).\nAnswer: -572*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 444761 * -14\nAnswer: -6226654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away 2.93?\nAnswer: -3.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c - 1414. Determine x(82).\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m - m)*(5*m - 7*m - 33*m - 6*m).\nAnswer: -82*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 23*m - 20*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -2, 2, -1, 5.\nAnswer: -96, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 5*w**2 - 4*w - 12. Let m be x(6). Let s(f) = -f**3 - f**2 + f + 115. What is the units digit of s(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*g + 13*g**2 - 55*g - 89*g + 58*g**2.\nAnswer: 71*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*z - 259302 = -259290, 3*z - 4*z + 6 = -4*q - 0*z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 233.02 + -233. Which is the fourth biggest value? (a) -4 (b) o (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**5*f - 33*c**4*f**2 + c*f**2 - c*f - 46*f wrt c.\nAnswer: -20*c**3*f - 396*c**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 4*p + a + 64, 0 = 2*p + a - 26. Let z = p - -8. Calculate the remainder when 43 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.3154 millilitres?\nAnswer: 0.0063154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 16*p. Let b(z) = 8*z + 15*z - 8*z. Give u(b(x)).\nAnswer: 240*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -36 + 14 + 14 - 2*p + 10. Let k be (-42)\/(-5 - 2)*(-2)\/6. Let a(r) = -r**2 - 5*r + 5. Let c(w) = k*a(w) + 5*i(w). Let m(l) = 2*l. Calculate c(m(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(0 - (0 - 2)). Let o be (-2)\/((-6)\/4 - 2). Which is bigger: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -941 + 1598. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104 a factor of 111685024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 38 - 47 = z, z - 1 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -4, -0.4.\nAnswer: -4, -0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 250 = -2*a. Let x = 128 - a. Solve -x = 3*h + 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 31?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 53 - 18*g - 140.\nAnswer: -18*g - 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.149 and -10?\nAnswer: 10.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 823434 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*c - 9 = 0, -4*g - 2 = -g + c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23095)\/(-7) - (-14)\/(-49) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-15\/2)\/(i\/i**(-13\/4))*(i*i**(-4\/21)*i)\/i*i*i\/i**(-1\/50) assuming i is positive.\nAnswer: i**(-18733\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 8*g**4 - 7*g**4 + 18*g**4 + 2*g**3 - 6*g - 5*g**4 to the form m*g**3 + f*g**2 + p + l*g + y*g**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d0500 (base 14) in base 10?\nAnswer: -2113860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/27*92\/(-506)*462\/56?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457260 to the power of 1\/2, to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + (-3 - -1 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5))**(-27\/5)*(l\/((l*l**(-2\/9)*l)\/l))\/l**(-12) assuming l is positive.\nAnswer: l**(3236\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y = 2*t - 51, 14813*y - 14815*y + 10 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**4\/4 + c**3\/3 - 25*c**2\/2 - 15*c - 20. Let l be h(-5). Solve 2*a = -m - l, 5*m - 5 = 2*a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5288)\/(-32) - (-1)\/(-4). Suppose -173*n + z*n + 24 = 0. Calculate the smallest common multiple of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56490 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1602646484 to the nearest integer?\nAnswer: 40033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2 + 2*j - 21 - j - 3*j**2. Is d(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 9963271*q + 8*q**2 - 1 + 9963271*q.\nAnswer: 12*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4041.842 rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 10 = 3*i, 5*i + 8 = -5*n - 12. What are the prime factors of (-53 + (3 - n))*(-5)\/3?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rutt when four letters picked without replacement from tutrlluvtt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4510 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -62, -92, -120, -146, -170, -192?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x - 6. Let h be z(-5). Suppose -h + 1 = -2*a. Let p be 3\/(2\/(-8) + 1). Calculate the highest common divisor of p and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1100100100010?\nAnswer: 1100100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 6*m**2 + 7*m + 3. Let y be h(7). Let x be (5\/(-105))\/(-19 + 1955\/102). Which is the closest to 1? (a) 1\/2 (b) x (c) y (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1865 + -0.20426. What is s rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -10, -4, 14, 50, 110, 200, 326?\n\"Answer: o**3 - 3*o**2 + 2*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 9 = x - 8*l + 4*l, 71*x = 3*l - 488 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*a**3 - 7*a**4 - 11*a**3 + (4*a**3 + 3*a**3 - 6*a**3)*(-3 - a - 2 + 3) to the form o*a**2 + l + y*a**3 + g*a + h*a**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-70)\/30 - 4\/(-6). Let r(u) = -u + 14. Calculate r(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 0*p**2 + 10 - 2*p**2 - 3*p**2 - 7*p + 6*p**2. Suppose -3*c + c + 26 = 0. Let a be i(c). What is the greatest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x = -70. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 13 - 15 + 8 - 37)*(-97 + 13*m + 97).\nAnswer: -650*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8 = 4*r. Suppose r*b + 12 = -4. Suppose -2 = -5*l - z, -2*l - z + 0 = -2. Put l, b, 1 in ascending order.\nAnswer: b, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + -1 + sqrt(448) - (-5 + sqrt(448) + sqrt(448)*3 + 2))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28886 + 28888. Is 8377 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1567671637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -14738*u - 44. Determine i(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -52 - 1\/1*4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**3\/3 + 44*r**2\/9 + 166*r\/9 - 20\/3 = 0.\nAnswer: -3, 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168855 and 18570?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 81*w + 43. What is the nearest to w in 11, 4, 337?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1825\/9846 or 1?\nAnswer: -1825\/9846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, o: 2, s: 4, c: 4}. What is prob of picking 1 s, 1 c, and 1 o?\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -14*j**3 + 28*j**2 - 4*j - 105. Calculate r(4).\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 76, -44, -420, -1178, -2444?\nAnswer: -4344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(99) + 2*sqrt(99) + sqrt(99)) + sqrt(99))\/sqrt(9).\nAnswer: 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 2564\/75?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {b: 1, h: 5, n: 3, j: 6}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7141110*s**2 - 383*s + 3672 wrt s?\nAnswer: 14282220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1193 = 596*d + 252*d + 2971 - 11954 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 306827950 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 e, and 1 r when three letters picked without replacement from rheorrrefrofoheh.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (75\/(-30))\/(2\/(-212)). Suppose -c = -4*o + 95. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-252)*2*(-6188)\/7735?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12265 is divided by 1572?\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*r + 141. Suppose 26*w + r = 479. Solve -3*a = -2 - w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 2184, 7366, 17460, 34104?\nAnswer: 58936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5081, -5086, -5093, -5102, -5113, -5126?\nAnswer: -5141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13*q + 13. Let v be g(-7). Suppose -m + v = -5*n, n + 247 = 2*m + 4*n. What is the remainder when m is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1639838, 1, -1.\nAnswer: -1639838, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 975, -6\/49, -12\/65?\nAnswer: 975","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z - 14 = -4*u, 0 = -5*z - 3*u + 35. What is the remainder when 33 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 132870?\nAnswer: 398610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let t(i) = -2*i. Let j = -6 - -14. Let g(c) = j*k(c) - 3*t(c). Let q(w) = -3*w. Give q(g(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 17*b**2 + 40*b - 19*b**2 + 21 + 7*b**2 + 16*b**2. Is u(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72 + -1?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1009 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77223803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-8\/7))\/n**(-2\/11) assuming n is positive.\nAnswer: n**(3\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -29*n + 11. Calculate d(3).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(33)*-4 - sqrt(33))\/(sqrt(891)*4).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 4044?\nAnswer: 4044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2382 and 33.\nAnswer: 26202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3374*n - 3035*n + 15594 = 0 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - -46) + 3 + -14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a*a**(-18\/11)*a)*a)*a*a*a\/a**(-1\/37) assuming a is positive.\nAnswer: a**(973\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79929964877 + -5.62.\nAnswer: 79929964871.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/2)*k*k**4*k**(-3\/7)\/(k*k**(-2\/19)*k) assuming k is positive.\nAnswer: k**(845\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8800 by -44.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:24 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -3*p - 2*r + 8, 4*r = 5*p + 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -3*a - u + 15, a - 3*u = 70. Let c = 10 - -14. Let r = c - a. Round r to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 9:54 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2864975 and 925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/8 - (-33)\/2. Suppose 73 + q = u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3795\/(-1587)*-23)\/(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/3 + 2\/(-3). Let q be 1305\/36 - n\/(-8). Let k(c) = -c + 18. Let f be k(0). What is the highest common divisor of q and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5436 - 10446?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**6\/120 + u**5\/30 - u**4\/12 + 95*u**3\/6 + u**2. List the prime factors of i(0).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.601 + 0.001. Let q = -11 - t. Which is the third smallest value? (a) q (b) 2\/3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -24*y**2 + 7*y + 12. Let d(q) = -22*q**2 + 5*q + 11. Let i(g) = 3*d(g) - 2*v(g). Let k be i(-3). Which is smaller: -158 or k?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2\/7*v**3 - 416\/7 - 96\/7*v**2 + 408\/7*v = 0.\nAnswer: -52, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -7 + -18 + (-948688)\/(-35136) + -3. Let w = -221679026231291\/37332 + 5938043134. Let l = w + g. Find the common denominator of 1\/14 and l.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78397751109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2. Let z = 3 - -1. Let x = z + 6. Let r(v) = -x + v + 10. What is q(r(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4611512.824 rounded to the nearest one thousand?\nAnswer: 4612000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(sqrt(117)\/(sqrt(63)\/sqrt(7)) + sqrt(91)\/sqrt(7)*4))**2 + 0.\nAnswer: 32500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i + 3*i - i + 5*i. Let m(j) be the first derivative of 19*j**4\/24 + 5*j**2\/2 + 26. Let u(b) be the second derivative of m(b). Give p(u(d)).\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 17.8. Let z be 1 + ((-35)\/(-4))\/(-5). What is the second smallest value in -2\/13, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1170, 4699, 10582, 18819, 29410, 42355?\n\"Answer: 1177*x**2 - 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5361 + -5360.78. Let x = 91 + -91. What is the closest to -0.1 in x, g, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9322 + -950773\/102. Let l = u - 1\/34. Is 0 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (1 - 0)) + (-4 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/860 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(70)\/sqrt(2)*-6)\/(sqrt(7) - sqrt(77)\/(sqrt(44) + sqrt(11))).\nAnswer: -15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a decade in years?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*5\/(85\/(-2)). Let q be 19\/5 - 4\/(-20). Let j = -31\/255 - 4\/51. Which is the second biggest value? (a) q (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q. What is the nearest to 0.2 in 4, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 14) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -69573.\nAnswer: 34786.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {b: 1, g: 5, p: 1, l: 7, h: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -436954 divided by -2.\nAnswer: 218477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3833039, -15332130, -34497281, -61328492, -95825763, -137989094?\n\"Answer: -3833030*k**2 - k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 - 2 = 0. Sort o, -1, 0.\nAnswer: -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 208.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6698563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 - -104.99938. What is v rounded to 5 decimal places?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50508 by 2.\nAnswer: 25254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160754?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/675 and -67\/22?\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 39. Which is the fourth biggest value? (a) 1\/8 (b) -5 (c) -3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**6\/120 - 3*y**5\/20 + y**4\/24 + 7*y**3\/6 - 57*y**2. Let k be ((-27)\/24*2)\/((-65)\/260). Calculate c(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2383*s**2 + 2138*s**2 + 2380*s**2 + 5 - 5 - 6904*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818966559?\nAnswer: 3, 272988853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -bc (base 15) in base 8?\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 2*w**2 + 2*w + 70. Let f be c(0). Let s(a) = f*a**2 - 141*a**2 + 67*a**2. Let i(z) = -z. What is s(i(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-3\/7))\/x*x*x\/x**(2\/15))\/(x*x**(1\/2)\/x*x*x\/(x*x**(2\/3)\/x)))\/((x*x*x**(-1))**(-1\/14)*(x**1)**(-4\/5)) assuming x is positive.\nAnswer: x**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 54 = -u, 0 = u - 3*j + 4 - 48. Let r = u + -57\/2. Let g = 0 + -1. Which is smaller: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3725*u - 9. Let o(a) = 1862*a - 4. What is 4*i(v) - 9*o(v)?\nAnswer: -1858*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 173816821 at least as big as 173816819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/19)\/o*o*o**(1\/9) assuming o is positive.\nAnswer: o**(28\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1286 (c) -0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 0 + t**2 - 7 + 1 - 105*t + 107*t. Let g be i(-4). Let p(v) = 2*v**2 - 3*v. What is p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 329938 - 32334611\/98. Let i = 10579\/1911 + w. Let y = i + -1\/39. Sort -0.2, -0.5, y in increasing order.\nAnswer: y, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*((-4928)\/144)\/44.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 7*i**2 + 3. Let y(x) = x**2 + 10*x + 2. Let u be y(-9). Let j be z(u). Suppose -q + 10 = -j. What is the greatest common factor of 52 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 6*v - 6. Let h be i(-2). Let x(q) be the first derivative of 0*q - q**h + 2\/3*q**3 + 2. What is the second derivative of x(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 11:39 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-525)*(-3)\/(-6)*-6.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**5\/10 - 4*u**3\/3 + 7*u**2\/2 - 2. Let a(l) be the second derivative of i(l). Differentiate a(h) with respect to h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3230 and 186320?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2.06. Let c = 0.03 + d. Let a = c + -1.97. What is the biggest value in 0, -1\/12, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 5*c - 20. Let f(i) = i**2 - 2. Let a(q) = f(q) - m(q). Give a(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38451124 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 1*(sqrt(68) - 2*sqrt(68)) - sqrt(68) - sqrt(68) - (2*sqrt(68) + sqrt(68) - sqrt(68) - sqrt(68))*6)\/(((sqrt(8) + sqrt(648))*2)\/sqrt(2)).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3512162 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from xcxxcxcccxxxcxxxxxx.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/18)\/((-6)\/54). Which is the nearest to -0.13? (a) y (b) 3\/7 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11163, 11148, 11133, 11118, 11103?\n\"Answer: -15*d + 11178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**5 + 740*k**4 - 28252*k**3 - 549796*k**2 - 2480800*k - 1960000 = 0?\nAnswer: -7, -1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9200096333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 240633 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 21*p = 19*p + 24, 5*s - 40 = -5*p. What is the closest to 0.1 in -2, 43, s, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**3 - 7*r**2 + 3*r + 3. Suppose 0 = 6*j - j + 25. Let w(b) = 13*b**2 - 5 + b**3 - 5*b - 13*b**3 + 3*b**3. Let g(s) = j*z(s) - 3*w(s). Factor g(h).\nAnswer: 2*h**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**(-3)*b)\/b))**(3\/5)*(b*b*b\/(b\/(b*b*(b\/b**23)\/b*b*b)))\/((b**25*b*b)\/b))**33 assuming b is positive.\nAnswer: b**(-6798\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(1573) + (-1 + sqrt(1573))**2)*-2) + 1 + -5 + 0.\nAnswer: -66*sqrt(13) + 9428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -15) + (-231 - -214)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 7. Suppose i*a = 4 + 21. Solve p - 17 = -a*n, -n - 1 = -p - p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 6 + (-1 - 4 + 2)*(1 + 0 - 2))*(-t + 4*t - 2*t)*(2 + 1 - 4) to the form h + j*t and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -m + 58, -2*d + 3*m + 32 = -m. Which is the nearest to -1? (a) -1\/4 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 4892*p**2 + 178634*p + 173740.\nAnswer: -2*(p - 2482)*(p + 1)*(p + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2180.804 decades in centuries?\nAnswer: 218.0804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -327365034 and -0.4.\nAnswer: 130946013.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 247393197 a multiple of 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4201.511 decades to months.\nAnswer: 504181.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f + 3*f**2 - f**2 + 0*f - 3. Suppose 20*w + 5*x = 19*w - 19, 3*x = -2*w - 17. What are the prime factors of y(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -0.7. Let f = s - -3.3. Let t = -11.2 - -11.3. Sort f, t, -3.\nAnswer: -3, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 236072 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/6)\/(-5) + (-11)\/(-66).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z + 0*z - 3*z)*(3 - 5 + 4) + (1 + 2 - 4)*(2 + 1 - 2)*(2*z + 4*z - 4*z))*(-57 + 63 + 157).\nAnswer: -978*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**5\/120 + d**4\/8 + 3*d**3\/2 + 22*d. Let t(h) be the second derivative of u(h). What is t(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4914 and 56646.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaxaxxixaaxxaxaaaaaa. Give prob of picking 2 a.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140944 and 356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -699784 and 1.6.\nAnswer: -699782.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + 1*(-4)\/2. Suppose 31 = -2*f - 5*r, -10 = q*f - 0*r - r. Let y be 0 + (-4)\/(2 - 0). Which is the nearest to y? (a) f (b) 0 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, l: 6, d: 1, z: 2, o: 2}. What is prob of picking 1 z and 1 o?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 14 = 3*f, -f = 3*v - 15 + 5. Suppose -3*i - g = -10 - 31, 91 = 5*i - f*g. Calculate the remainder when 118 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -15*t + 24. Is p(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 470*n**3*q + 12247669*n**3 + n**2*q + n**2 + 13538*n*q - q wrt q?\nAnswer: 470*n**3 + n**2 + 13538*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-5)*t)*t\/(t\/(t\/t**(-1\/3))*t)*t**(-3\/19)*t\/(t\/(t\/((t*t**(1\/6)*t)\/t))))**(10\/11) assuming t is positive.\nAnswer: t**(-3415\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 23791\nAnswer: 5\/23791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156786 is divided by 62?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6790, -6808, -6826, -6844, -6862?\nAnswer: -6880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*o**3 - 1502921*n**2*o*v + 2*n*o**3*v - 519*n*o**3 + 2*n*o*v - 6*n - 3*o**3*v - 2*o**2*v wrt n.\nAnswer: -2*o**3 - 3005842*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9522316877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.196063 - 0.15.\nAnswer: -0.346063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or 611?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17136 = -1521*s + 93*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 0*c**2 + 0 + 4*c + 7\/6*c**3. Let n(q) = -4*q + 9*q - 5*q + 2*q**2. Calculate n(f(u)).\nAnswer: 98*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 2*w**2 - 1. Let g(d) = 2*d**3 + 12*d**2 - 2*d + 5. Let i(p) = g(p) - 3*x(p). Determine i(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4)\/4*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 610119163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/110 and -39\/88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6*-7)\/1?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -428419 (base 12) in base 6?\nAnswer: -34310433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from {d: 2, e: 10, h: 1, g: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4340*h - 4346*h + 13027*h - 4341*h + 28180*h**2)*(-5*h**2 + 5*h**2 + h**2) as m*h**4 + k + f*h + x*h**2 + r*h**3 and give m.\nAnswer: 28180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - g - 6 + (2 - 1 - 3)*(2 - g - 2) + 0*g + 12*g + 6*g + 10*g - 37*g + 9*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.46 - -0.06. Let d = -5.741 + 0.751. Let w = d - 0.01. Which is the second biggest value? (a) 3 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**4\/4 - 4*d**3\/3 + d**2 - 5*d + 36. Let y be n(4). Factor -2*a - 2*a**y - 1\/2*a**4 - 3*a**2 - 1\/2.\nAnswer: -(a + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.5 - -24.29. Let g = 0.1839 + -10.0739. Let r = g + a. What is r rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46779 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b + b - 7*b. Let n = 261 - 268. Let l(c) = -6*c - 39. Let u be l(n). Let a(s) = 4*s. Give u*k(x) + a(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n = 32*n - 147. Let l(j) = 21*j. Let x(w) = 210*w. Give n*l(f) - 2*x(f).\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-8))\/(3\/40). Let g be (-1 - 0)\/(2\/t). Suppose 4*h + 40 = 5*v - h, 2*v + 4*h = -8. What is the highest common factor of v and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.273 + 0.4\nAnswer: 0.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 7*g**2 - 7*g - 1. Let m be d(-6). Suppose 5*o + 10 = -0*o, -i + 16 = -m*o. What is the smallest common multiple of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 9:26 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 127\/42)\/(((-24)\/(-4))\/36). What is d in d - c*d**3 - 4\/7 - 2\/7*d**2 = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + (sqrt(1100) + sqrt(1100)*-1)*-4)\/(((sqrt(288)*-2)\/sqrt(9))\/sqrt(8)).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*j = n - 11, -n + j = -7. Let c be n - -4 - (4 + -1). What is the remainder when 30 is divided by 3\/(18\/8)*c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 27*n + 40. What is the least common multiple of y(-28) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 3\/33)\/(18\/36)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17434124 - -2231438. Let v = w + 734438. What is v rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**7\/98 + 11*n**6\/140 + n**5\/5 + n**4\/7 - n**2 + 21*n. Let f(j) be the first derivative of y(j). Factor f(v).\nAnswer: 3*v*(v + 2)**2*(5*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 greater than 5129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(1\/8))\/(v**(5\/4)\/v))\/(((v**(-2\/9)*v)\/v)\/v*v*v*v**4))**(-24) assuming v is positive.\nAnswer: v**(299\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 7, -2 in descending order.\nAnswer: 21, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 9194328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/5 + (-9 - -21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**3\/6 - 9*n**2 + 30. Factor q(r).\nAnswer: r*(r - 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*(96\/(-56))\/(-12)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-1) + 2*-1. Let z be -192*(3\/24)\/((-2)\/(-8)). Let u = -99 - z. Put r, -13, u in decreasing order.\nAnswer: u, r, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*((0 + sqrt(1700))**2*5 + (sqrt(85)\/((sqrt(150)\/sqrt(3))\/sqrt(10)))**2) + -5.\nAnswer: -102209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4841, 17827, 38947, 68201?\nAnswer: 105589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-1)*1 - 65559\/(-123) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11707 and 9.\nAnswer: 105363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 59*g**5 + 4*g**3 - 4*g**2 + 13*g + 1. Let p(z) = -z**3 + z**2. Let o(u) = l(u) + 4*p(u). Find the second derivative of o(f) wrt f.\nAnswer: 1180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 4*l**2. Let k be q(-4). Let s be 0\/((-6)\/3) - k. Let a = -49\/584 + -3\/73. Is a <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.6 + 12. Let q = 22 - c. Let b = q + 6.714. Round b to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, x: 2, n: 1, l: 3}. What is prob of sequence lnl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (1 - -1 - 4). Let j = i - -11. Suppose -60 = -j*t + 44. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/1428 + 269\/357. Let n be ((-1)\/6)\/((-2)\/(-4)). Are h and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 + (-16)\/12. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 2:35 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhrtyuhb. What is prob of picking 1 t, 1 u, 1 y, and 1 b?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = -z, 2*z = -2*z. Let w(i) = 0 + n + 33*i + 45*i - 12*i. Let f(x) = -2*x**2. Calculate f(w(s)).\nAnswer: -8712*s**2 - 264*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -120. What is the highest common factor of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 0.9.\nAnswer: 0.9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, 168, -240, -5, -1\/9.\nAnswer: -240, -5, -0.4, -1\/9, 0, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-9 - 10 - (103 + -15 - 8))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from wemiwss.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7) + 3 - sqrt(7)*3*-5 - 4*(sqrt(847) + 1)*4)**2.\nAnswer: 4238*sqrt(7) + 186152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4*-3140\nAnswer: 12560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k - 16. Let a be v(-3). Let w(t) = 9*t + 10*t**a - 10 - 22*t**2 + 11*t**2. Calculate w(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 482*c. Let k(h) = h**2. Determine o(k(t)).\nAnswer: 482*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2381 is divided by 1174.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6 - 195*r + r**2 - 189*r + 389*r. Give n(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70\/39 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 7 + 1 + (-2 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59486*k**2*o**2 + 2*k*o**2 + 19826*k*o wrt k.\nAnswer: -118972*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 87, 124, 165?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.59 rounded to zero dps?\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 275*y**2 - 51061*y + 889. What is b(127)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12762 divided by -3.\nAnswer: 4254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/10*(-2)\/2*4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3 = -2*x, 5*w = -4*x - 2 + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/((-3)\/(-4)))\/(35\/21). Let y(x) be the first derivative of 4*x**3 + 4*x**2 + 0*x**4 - l*x**5 - 1 + 0*x. Factor y(r).\nAnswer: -4*r*(r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-2 - (4 - 10)) + -10 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/((-3)\/36*3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*-100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -475 - -2302. Suppose 2*w - t = w. Suppose -3*v - w = -5250. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14.229 or -2\/513?\nAnswer: -2\/513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -297*f - 1. Let q(m) = -75*m. What is 2*o(t) - 9*q(t)?\nAnswer: 81*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7739713 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = y - 7, -4*y = 5*v + 19 + 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2419.77 and -0.1.\nAnswer: 241.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(208) + -2 + sqrt(208))**2.\nAnswer: 16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylyyyyyjjyjkuiyk. Give prob of picking 1 l and 1 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3) - 3*sqrt(3)) + sqrt(3) + 0 + (4*((-5*sqrt(33))\/sqrt(11) + sqrt(3) - sqrt(3)))**2.\nAnswer: -sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -86*o - 451. Let t be x(-8). Is 236 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d. Let o(a) = -3*a + 2. Let b(l) = -20*l + 15. Let n(r) = 2*b(r) - 15*o(r). Determine i(n(u)).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 894 - 554. Let g = -315 + x. Which is the biggest value? (a) 3 (b) 1\/4 (c) 0.4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3*z + 5 - 13 = 0, -m - 5*z + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.1 + -9. Let x = -3 - -2. Which is the smallest value? (a) x (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let o(a) = 9*a - 9*a + a**2 - 2. Let g be o(2). Let c(y) = -3*y**2 - g*y**2 + 7*y**2 + y**2. Determine c(t(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 17) + -6 - (839 - 825)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3056\/13725 + -2\/4575. Which is the nearest to -0.1? (a) s (b) 1 (c) 5 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -212113 or -212115?\nAnswer: -212115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrgrrgrr. What is prob of picking 1 g and 3 r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 - 154.06. Let u = v - -0.06. Which is the nearest to -3? (a) -1\/3 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210 + -112133321?\nAnswer: -112200131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-48))\/(((-37980)\/108)\/211)?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**3 + 2*b - 2*b**2 + 2*b**2 + 5*b wrt b?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a gram in milligrams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*n + n. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 9:41 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2. Let n be w(0). Let u(d) = 2*d**2 + 2*d**2 - 5*d**2 + n*d**2. Let g(j) = -4*j**2 + 1. Let i = 2 + 7. Determine i*u(h) - 2*g(h).\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 55*f + 9. Suppose -22*w - 15 = -25*w. Let y be p(w). Suppose 2*s + y = 946. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p + 72. Give y(-25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 39*q**2 + 2*q + 90. Let u(b) = -2*b**3 - 29*b**2 - 11*b + 3. Let h be u(-14). What is the tens digit of o(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -19 - 3*k - 3\/2*k**2 - 1\/36*k**4 - 5\/9*k**3. Let v(m) = 0. Calculate m.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214 (base 7) to base 9.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 43995584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-4)*(-4)\/3. Suppose -1 = 4*v - t, 3*v + 0*t - 6 = 3*t. Does 12 divide v + 34 + m + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3220891 is divided by 168?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - -1.083. Let q = v + -1.17. Let j = 0.167 + q. What is the closest to j in -1, -0.17, 1?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 - 123. Let k(d) = 18*d**2 - 6*d + 1. Let w(n) = -6*n**2 + 2*n. Let m(b) = 3*k(b) + 8*w(b). What is the tens digit of m(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 2, i: 8, g: 1, m: 1}. Give prob of sequence gi.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 12*s**4 + 26*s**4 - 17*s**4 + 2*s**2 as p*s**4 + m + b*s + r*s**2 + d*s**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hststffhgtgt. Give prob of sequence gst.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10431, -20952, -31473, -41994?\nAnswer: -52515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -6, -0.12, -1.6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23037 is divided by 87?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12200212 (base 3) to base 9\nAnswer: 5625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6619670 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291895871.\nAnswer: 291895871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2875 - -3335. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.4. Which is the second biggest value? (a) 4 (b) i (c) -3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.3. Let r be (-4)\/(-6)*(-18)\/48. Suppose 5*z = 4*w - 3, w - 5 = -5*z + 2. Which is the nearest to s? (a) w (b) -2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abarrarrbgagr. Give prob of picking 1 r, 1 a, and 1 g.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 330\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 11*z = 438. Let c be 4\/10 + z\/10. What is the first derivative of -31 + s - s + c + 2*s**4 wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**3 - 119121945*m**2 + 709502305955775*m - 4966510304716835 = 0.\nAnswer: 7, 11912191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2, -2\/7, 6\/23?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (28 - (-78 - -219) - (12 + 1) - -2)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5616 - 5619. What is the second smallest value in -1, a, -0.2, -156?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-2637.\nAnswer: -263.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36817 - 477793*k**3 - 36817.\nAnswer: -477793*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313302332323 (base 4) to base 14.\nAnswer: -1d2a639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*h - 11, 2*h + 0 - 46 = -2*q. Let p(d) = 16*d**3 - 16*d**2 + 8*d - 20. Let o(y) = y**3 - y**2 - 1. Let i(s) = q*o(s) - p(s). Factor i(z).\nAnswer: 4*z*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 27*a - 541. Let s be y(10). Which is greater: -273 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 10 + 20 + -32?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 14912?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24744 in -1, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -386, -1568, -2776, -4010?\n\"Answer: -13*k**2 - 1143*k + 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691388419 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 4324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.131 less than 110?\nAnswer: 109.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + 1000103?\nAnswer: 1000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 12*k**2. Let s(j) = -352*j. Give s(f(r)).\nAnswer: -4224*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*p**2 - 50*p**2 + 2 - 7*p**3 + 8*p**2 - 2*p + 16*p**2 to b*p**2 + d*p + h*p**3 + q and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*p - 7236 = 124*p + 156*p + 2809 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34238)\/646*8\/40.\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (4*sqrt(99) - sqrt(99) - sqrt(99)) + 2)*4)**2.\nAnswer: 1344*sqrt(11) + 7120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 11 + -4 + (4 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-7) + 6\/(-21). Suppose 5*d = -9 + o. Let f = -249 - -2243\/9. Which is greater: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151417235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*q = t - 12, 0 = -5*t - q + 30. What is the greatest common factor of t and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 3276151?\nAnswer: 9828453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/12 - 1\/(-3). What is the derivative of -73 + 0 + 60787*j**k - 60905*j**4 wrt j?\nAnswer: -472*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4762 + 4?\nAnswer: 4766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64191 - 64191 - 4*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 8*w**2 + 8*w - 8. Let h be (1 - -2)\/((-2)\/(-6)). Suppose -15*o + 26 + 4 = 0. Let g = h - o. Give v(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*-1*(1 + (sqrt(363) - 5*(sqrt(363) - (1*sqrt(363) + sqrt(363)))) + sqrt(363) + 2)*4)**2.\nAnswer: 2956800*sqrt(3) + 113894400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -73. What is the remainder when 53 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 7*l**2 - 2*l - 3. Give f(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(2 + (sqrt(143) + 4*sqrt(143)*1 + sqrt(143))\/(sqrt(891)*-1))*-3.\nAnswer: -11 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 6*s - 3. Let c be h(-5). Let a be ((-9)\/6)\/(6\/c). Suppose 165 = 3*u + a*u. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28645803 + 28645547.000238. Let f = h - -256. Round f to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/3617 + -318191\/75957. What is the common denominator of z and -35\/9474?\nAnswer: 66318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - y = 16, 5*m + 2*y = 3*y + 72. Let d be (m\/(-4))\/(1\/(-2)). Suppose 2251*o - 272 = 2183*o. Solve 0 = -3*b - 5*g + 29, -3*b + o*g = -0*b + d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q - 14. Let f = q - -10. Find the second derivative of 3*t**5 - t + t**5 + f*t - 3*t wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 18\/15 + 3\/(-15). Let g be i + -1 + (3 - -1)\/1. Let w(o) = -44*o**2 + o**3 + 20*o**2 + 13*o**2 + g. Give w(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + 36 + -47.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - -0.3. Let m = -0.052 + -4.148. Let z = 4 + m. What is the biggest value in z, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 5*s + 68, -3*s - 58 = 3*u - s. Let l(n) = -n**3 - 22*n**2 + 2*n + 46. Determine l(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Suppose -g = -l*g. Suppose 2*d + 8 = g, -5*m - 4*d = -0*d - 59. What is the remainder when 28 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 15. Suppose -w*a - 3*i - 13 = 6, a + 16 = -3*i. Let o = -18 + 71\/4. Are o and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -11*v**5\/15 + 25*v**3\/6 - 2*v**2. What is the first derivative of u(h) wrt h?\nAnswer: -88*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t + 5. Let m(c) = 17*c + 10. Let z(i) = -11*h(i) + 6*m(i). Let f(r) = -9*r - 14. Determine 4*f(v) + 11*z(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/455 and -31\/546?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -103334332 (base 5) in base 11?\nAnswer: -287663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*z**2 - 296*z**2 - 17*z**2 - 453*z**2 + 65*z**2.\nAnswer: -736*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0.76.\nAnswer: -5.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1944 at least -1948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 7. Let q = -11 + 7. Let c be h(q). Suppose -c*t + 8 = -5*t. What is the closest to -0.1 in -0.2, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/14 + 117\/(-21). What is the smallest common multiple of 16 and o + 54\/12 + (-19)\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g + 22239 - 23018 = 0 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1069 + -264. What is the remainder when z is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2700451 is divided by 649.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0145954504 rounded to 4 decimal places?\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*y - 203*y + 2*x + 50 = 0, -y - 17 = 5*x for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 229650642 and 1962826.\nAnswer: 229650642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.31464348 - -11?\nAnswer: 15.31464348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 211.\nAnswer: -2\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1196*m**2 + 50*m - 19. Is v(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8362628 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4858904 is divided by 410.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30674?\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 541 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2 + 2)*(111 + 2408 + 2966 + 2729 + 28).\nAnswer: -16484*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 2*j - 6*j - 4*m, -2*m + 4 = 0. Suppose 2*g + j + 7 = 0. What is the tens digit of ((-48)\/g)\/(1\/21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/12 - 7*h**3\/3 - 7*h**2\/2 + 5*h. Is l(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211\/126 - -7\/18. Calculate the common denominator of k and (8\/40)\/((-3)\/(-96)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.1, 5, 42, 2.\nAnswer: -0.4, -0.1, 2, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n - 19. Let w be h(-3). Let d be 1 + (w\/(-6))\/(4\/(-18)). Is 2 + (-98)\/d - (1 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 10:20 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*3\/210 + 320\/35.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*r**6 - 351*r**2 wrt r.\nAnswer: -5640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 171.85 + 1.15. Let l = s - 172.416. Round l to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1532 - 1531.8. What is the smallest value in -112, h, -3, -4?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23d4d (base 15) to base 16.\nAnswer: -1bec5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -3 - (-4 + 16) - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 14*a**2 - 142*a - 50. Determine z(-21).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 88611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1126.32 - -1093. Let h = d + 35. What is h rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from wwhwwkzz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, 14 in increasing order.\nAnswer: -2, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 210 + -227. Let m(v) = 5*v + 9. Let d be m(-8). Let h = y - d. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + (6 - (5 - 19 - (-35 + -2) - 3))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.203 times 0.5147?\nAnswer: 0.1044841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27492.51 meters in kilometers?\nAnswer: 27.49251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3981\/5 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) -8 (c) 0.9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1411120 from -10867.\nAnswer: -1421987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 - -0.21. Let c = 1 - 1. Let b = r + c. What is the biggest value in 0.5, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 7. Let u be k(-9). Let p = -4 - -7. Find the second derivative of 0*b**3 + 8*b - 6*b - u*b**p wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3*u**3 - 2 - 4 - 4*u + 2*u**2 - u**3 in the form d*u**3 + p*u + v*u**2 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3371*v + 340 = -3541*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8171*j. Let o(i) = -i. What is q(o(l))?\nAnswer: 8171*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14461387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -28, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-668)\/(-8) + 6\/4. Is (-2330)\/(-4)*34\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*n - 8. Solve -5*q - t + 15 = n*t, 23 = 3*q - 4*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 18*o - 8. Let v be p(17). Let u = v - -29. Solve 18 + 2 = -u*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 + 10*f**2 + 12*f + 9. Let m be j(-5). Let r = m - 446. Solve -3*c = r*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212066 + -202.4097376.\nAnswer: 211863.5902624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 4) in base 3?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5101344 milliseconds to nanoseconds.\nAnswer: 510134.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + j + 15, -5*y + 4*j = 6 - 21. Suppose -5*b = 4*h - 1036, -y*h + 3*b + 496 + 254 = 0. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {f: 2, o: 1, c: 2, b: 4, z: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*q - 6438, 5*b - 12*q + 9*q - 16091 = 0. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/38880 and 29\/24.\nAnswer: 38880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r\/(r\/((r*(r\/(r**(-3\/2)*r))\/r)\/r)*r))\/r*r*r*r*r*r*r**(-7)*r)**(-29)*(r**(-8)*(r*r\/(r**(2\/17)\/r))\/r)**(-8) assuming r is positive.\nAnswer: r**(2157\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 5*y. Suppose -2*h + 28 + 52 = y. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442\/883153 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2421, 9806, 22151, 39462, 61745, 89006, 121251?\n\"Answer: o**3 + 2474*o**2 - 44*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 743 or -1\/288?\nAnswer: 743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 345 - 340. Sort -8, v, 0 in descending order.\nAnswer: v, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 945438?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxx. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+0.49933\nAnswer: 0.69933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-6)\/(-4) - 3. Let c(d) = 8*d**2 + 0*d + d**3 + b*d + 0*d**2 + 5*d + 9. Let x be c(-7). Calculate the greatest common factor of x and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106414 + -280272?\nAnswer: -386686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 214 + -207. Suppose -7 + t = 3*u. Solve 0*n + 1\/2*n**5 - 1\/2*n**3 + u + n**4 - n**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 34125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**8\/84 + 5*q**5\/12 - 11*q**2. What is the third derivative of v(a) wrt a?\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 11 - -7) + -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 10. Let c(t) = -1. Let b(x) = -c(x) - k(x). Let m be b(7). What is the biggest value in m, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 20. Let h(c) = 3*c**2 - 2*c - 4*c**2 + 5*c - j*c - 2. Suppose -26 + 42 = 8*y. Determine h(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*g - 27 - 179, q = 5*g - 348. Suppose 0 = t + 2*f - f - 15, 5*t = -4*f + g. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1168 + -8?\nAnswer: -1177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 320698, 641405, 962130, 1282879, 1603658, 1924473, 2245330, 2566235?\n\"Answer: k**3 + 3*k**2 + 320691*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 557*f - 121. Calculate j(2).\nAnswer: 993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**6 + 2*r**5 + 713*r**3 - 2*r**2 + 180342 wrt r.\nAnswer: -360*r**3 + 120*r**2 + 4278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1450*f = -1442*f - 68064. List the prime factors of f.\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*o + 3*f, 6*o + 4*f + 15 = 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**3 + 4*r**2 + 4*r + 2. Let j(v) = 4 - 3 + 3*v**2 + 3*v + 22*v**3 - 20*v**3. Calculate -4*j(u) + 3*t(u).\nAnswer: u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/440 and -5\/97917?\nAnswer: 43083480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15.6+-150\nAnswer: -165.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -214 - 122803?\nAnswer: -123117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 964470, 964460, 964456, 964464, 964490, 964540, 964620, 964736?\n\"Answer: w**3 - 3*w**2 - 8*w + 964480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-8 - -9 - (11 + -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.400731 to 1 dp.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*i = 52*i + 18. Suppose 5*d + 65 = i*d. Solve d*f = -20 - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 2*u - u - 88 + 138 - 85, 4*t + 140 = 4*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-8)*-10 - -1. Let s = d - -9. Let f(j) = j**3 - 6*j**2 + 4*j + 7. Let w be f(s). Solve -w = -3*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) + 1235\/35. Suppose 0 = 2*d - 5*s - 188, d + 5*s - p = 59. Is d smaller than 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/111 and -46\/3.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 - (1 - (-1 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*v**3*z**3 - 5*v**3 + 7*v**2*z**3 - 2*v**2*z + 3*v*z**3 wrt v.\nAnswer: -300*z**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 306469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20\/((-40)\/(-21))*(0 + 4\/(-6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 35*q = -153. Suppose -2*k + 7 + 1 = 0. Suppose 9 = k*w - 11. Put w, 0, -1, q in decreasing order.\nAnswer: w, 0, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxlqlxxqqxq. What is prob of sequence lq?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2*c = 20, -222*x + 218*x + 5*c = -41 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (((sqrt(133) - (sqrt(133) + sqrt(133) + (sqrt(133)*-2 - sqrt(133))))*6)\/(sqrt(7) + sqrt(112)*1 + sqrt(112) + sqrt(112) + sqrt(112)))**2)*-3 + 5.\nAnswer: -4162\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/24 and 47\/18108032.\nAnswer: 54324096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-6) + (5068\/480)\/7. Let p(j) be the third derivative of -5\/24*j**4 - k*j**6 + 0 - j**2 + 0*j - 1\/15*j**5 - 1\/3*j**3. Factor p(y).\nAnswer: -(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6*g**2 + 5*g**2 + 0*g**2)*(-g + g - g).\nAnswer: g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z + 45. Let w(c) = -2*c + 23. Give -3*g(f) + 5*w(f).\nAnswer: 2*f - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -57?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4170570*i**3*j - i**3 - i**2*j - 16*i*j + 59*j - 1596 wrt i?\nAnswer: -25023420*i*j - 6*i - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.023, -2\/5, -0.3?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -19*v**2. Let c(g) = 29 + 25 + 23 - 103 + 24 - 6*g. What is c(w(n))?\nAnswer: 114*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*r + 9. Suppose 8 = r*f - 12. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z**2 - 18*z**3 - 11*z**3 + 0*z**2 + 100*z**2 + 27*z**3 - 167.\nAnswer: -2*z**3 + 84*z**2 - 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 53*n**3 - 334*n**2 + 2*n + 2. Let l(s) = 107*s**3 - 660*s**2 + 5*s + 5. Let r(k) = 5*b(k) - 2*l(k). What is the third derivative of r(x) wrt x?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -34, -4, 31733 in increasing order.\nAnswer: -34, -4, 0, 31733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (154\/(-35))\/11*(-5)\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 30363*g.\nAnswer: -3*g*(g - 10121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 390979\/481 - (-4)\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 - 100001010010110?\nAnswer: -100001010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3*2))\/((-99)\/((-11880)\/(-112)))\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from xcwiiwqiciiicicccii?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4016 - -0.9016. Which is the third smallest value? (a) 2\/3 (b) -1 (c) y (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -612, -2632, -5998, -10710, -16768, -24172, -32922?\nAnswer: -43018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 15*h - 4. Let w = 0.69 + -0.09. Let i = 27\/22 - 8\/11. Which is the closest to -1? (a) h (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2255 + -1635. Calculate the remainder when b is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*5\/(-2))\/1. Let x = u - -5. Solve -w = -4*j + 16, j + 4*w + 15 - 2 = x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8281044.\nAnswer: 2, 3, 37, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -1)\/4*34. Suppose 2*r - 5*p - 3 = 0, -2*r = -2*p + 7*p - 13. Suppose -3*m + u = 2*c, -r - 22 = -c - 5*m. Let j(d) = 10*d. Calculate j(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34919, -69824, -104729, -139634, -174539?\nAnswer: -209444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2068\/3 + -3423\/5. What is the common denominator of -17\/10 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4 + 320*l**3 - 4015*l**2 - 49220*l + 443520 = 0 for l.\nAnswer: -11, 7, 32, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36, 174, 430, 822, 1368, 2086, 2994?\n\"Answer: 3*t**3 + 41*t**2 - 6*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14929945 is divided by 436.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235 divided by -5.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c\/(c\/c**4*c)))*c)\/(c\/c**(-1\/14)*c))\/(((c*c**(-1\/3))\/c)\/c**(-7)))**6 assuming c is positive.\nAnswer: c**(-157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3718, 3658, 3576, 3472, 3346, 3198, 3028?\n\"Answer: -11*y**2 - 27*y + 3756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-440)\/77)\/5*(-7)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4870, -5574, -6278, -6982?\nAnswer: -7686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7*(-175)\/(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 48*f**2 + 35*f + 48. Let d be v(-47). Suppose 2*r + z = d, 0*z + 3*z - 612 = -2*r. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -4) + -57 - (177 - 185 - (1 - 11)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -81a (base 11) in base 12?\nAnswer: -6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 6*v - 2. Let i be z(4). Suppose -5*o - 9 = -i. Let k = o - 2. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100 - -1201?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -58, -130, -240, -394, -598, -858?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1 - 9*m + 4 - 7 - 2 - 5*m**3 + 14*m**2 + 5. Let p(t) = -4*t**3 + 13*t**2 - 6*t. Let g(v) = 6*p(v) - 5*w(v). Determine g(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/21 + 8338*t\/21 + 1192.\nAnswer: -2*(t - 4172)*(t + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14131 - 2?\nAnswer: 14126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150205 - 245335?\nAnswer: -425543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*f = 9 + 10, -4*x - 44 = 2*f. Let g = 29 - 47. Let v(z) = -z**2 - 17*z + 8. Let o be v(g). Is x greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*p - 4. Find the third derivative of 3*z**p - z**6 + 0*z**6 + 4*z**6 - 5*z**2 wrt z.\nAnswer: 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.9 - -7. Let p be 5289\/(-372) + (-20)\/620. What is the second smallest value in x, p, 2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*w + 382*w = 1296 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1.4, -2\/15, 0.1, 1\/5, 15.7, 14, -1\/6?\nAnswer: 15.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:50 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 348833130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(-1\/16)*o*o))**(12\/13)\/((o\/o**(-13))\/((o**20*o)\/o)))**(-2) assuming o is positive.\nAnswer: o**(-171\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + h. Let x(s) = -15*s**3 - 10*s**2 + s + 7. Let l(i) = -3*b(i) + x(i). Let t(c) = -8*c**3 - 4*c**2 - c + 4. Calculate 4*l(z) - 7*t(z).\nAnswer: -4*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 369325.6m?\nAnswer: 369.3256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 0 + 2 + 3*w + (-2*w - 8*w + 3*w)*(-3 + 5 + 1) + 3*w - 7*w - 2*w - 4*w + 6*w - w.\nAnswer: -25*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r\/r**1)\/r)**(-3))**(1\/26)*(r*r\/(r*(r*(r*r\/r**(-2\/7))\/r)\/r*r))**48*r*r\/r**(1\/9)*r*r**(4\/7)*r*r assuming r is positive.\nAnswer: r**(-92333\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**3 - 5*j**2 - 6*j - 7. Calculate d(5).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684\/(-1485) + (-196)\/(-490).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t - 4 + 2 - 3 + 7*t. Suppose -3*o + 0 - 3 = 0. Let u(m) = m - 1. Let r be 56\/10 + (-6)\/10. Determine o*l(y) + r*u(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1801 + 1806. What is the closest to 1\/2 in l, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:32 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 158*d**3 - 276 + 276 + (-2 + 1 + 2)*(2*d**3 - d**3 + d**3) - 4*d**2 + 4*d**2 + 2*d**3.\nAnswer: 162*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*g + 5*d + 131, 0 = 5*g + 4*d - 113. Solve -4*a + 5 = g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -3\/47, -3\/2, 3, -4314, -0.5?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70.854 + -0.146. Let h = -1310004061 + 1310004131.9999911. Let x = h + p. Round x to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45326, 90947, 136568, 182189?\n\"Answer: 45621*h - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 11*l**2 - 11*l - 3. Let t(u) = -5*u**2 + 5*u + 2. Suppose 0 = -5*f - 25, -2*j + 2*f + f = -23. Let y(c) = j*a(c) + 9*t(c). Is y(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002939 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*1)\/((-4)\/32). Suppose -5*i = -i - z. Factor i*v - 4*v**2 - 6*v**3 + 5*v**3 + 3*v**3.\nAnswer: 2*v*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 22 = -4*p - 21, -4 = -2*p - 4*n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 1. Let d be b(-4). Let f(u) be the third derivative of 5*u**4\/24 + u**3\/6 - 4*u**2 - 72*u. Calculate f(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 88?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -429, -389, -345, -297, -245, -189, -129?\n\"Answer: 2*b**2 + 34*b - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - -3) + -1 + 3. Let i(y) be the first derivative of -7*y**4\/4 - y**3\/3 - y**2\/2 + 2. What is the units digit of i(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/((-40)\/15))\/((-22)\/(-2))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i + 2. Let x be y(1). What is the closest to -0.8 in 0.4, x, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12082929000 rounded to the nearest one million?\nAnswer: 12083000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59305, 59300, 59285, 59254, 59201?\nAnswer: 59120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, -5.\nAnswer: -11, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 62\/32 - 35\/(-560). Solve -m + c = -g, 3*g - m - 2 = -2*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3 - 2) + 3)\/((-108)\/72). Which is the closest to -0.44? (a) 2\/15 (b) -2 (c) s (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2608 is divided by 2565.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b + 23*b - 15*b + 2 - 4*b**3 as z*b + g*b**2 + h*b**3 + t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 22. Let s(t) = -t + 7. Let z be s(5). Let p(c) = -3*c - 1 - z*c + 4*c. Give p(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 38. Let a = l + 40. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3330061554 + 3330061554 + 31*u**2.\nAnswer: 31*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 4 = -2*m, 5*u + 2*m - 22 = 0. Let v = -247.314 + 247. Let y = v - -0.114. Sort y, u, -0.3 in descending order.\nAnswer: u, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(15\/6)*-4. What is the common denominator of -43\/30 and ((-249)\/o)\/(108\/16)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*u = 3638, 3*u = 5*k + 769 - 6821. What are the prime factors of k?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-8)*(-2 - -4). What is the remainder when 35 is divided by 3\/o + 106\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8259742379889 and 0.19.\nAnswer: -8259742379888.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from {z: 3, p: 5, x: 1, n: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 218501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 387880.0873 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 182 - -349. Suppose -z + 132 = u, -3*z - 5*u + d = z. Suppose c + 4*j = z, 5*c - 392 - 128 = 5*j. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrokk. Give prob of picking 1 r and 1 o.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 2. Let k(f) = -96*f + 92. Let s be k(1). Calculate w(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002e (base 15) to base 5.\nAnswer: -3110134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-175)\/(-25))*(-4)\/6*45\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 21*m**2 + 33*m - 15.\nAnswer: 3*(m - 5)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 29e?\nAnswer: 2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let w(i) be the first derivative of 8*i**3\/3 - i**2 + 59. Let s(o) = 10*o**2 - 3*o. Let y(c) = 2*s(c) - 3*w(c). Give y(f(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 94599667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 3. Let q(c) = c + 2. Let i(j) = 5*q(j) - 3*z(j). Let b = -16 - -6. Let s = 5 + b. Determine i(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 * -3879326\nAnswer: -147414388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7443 - 0?\nAnswer: -7443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -57370091?\nAnswer: -2\/57370091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + ((sqrt(68) - (-2*sqrt(68)*6 - sqrt(68)))**2 - (4 + (sqrt(68)*-1)**2))) + 2.\nAnswer: -13256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -528.881014893?\nAnswer: 528.781014893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h*h**2\/h))\/h)\/h*(h\/(h**(-4)*h))\/h*h*(h**(-1\/3))**(2\/29))\/(((h**(-3)\/h)\/h)\/(h\/(h**3\/h))*h**(-7)\/h*h*h*h**(2\/5)) assuming h is positive.\nAnswer: h**(5036\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5556402 (base 9) in base 16?\nAnswer: -2d9f83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-140))\/(-11*4\/(-220)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*j**4 - 2*j**3 + 35*j**2 - 39754 with respect to j.\nAnswer: 44*j**3 - 6*j**2 + 70*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 + 2*x + 274 - 276 + 0*x - x**4 as y*x**2 + k*x**4 + i + s*x + f*x**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one eighths of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1837 + -1838. Are a and -2\/1529 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345257 to the power of 1\/2, to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.73735 to 2 decimal places.\nAnswer: -3.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 4, -2\/845, -3, -2, 10.18 in descending order.\nAnswer: 10.18, 4, 5\/4, -2\/845, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1896702*b + 5690103. Give p(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(272)*2)**2.\nAnswer: -4388 - 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 52. Suppose -11*a = -k*a - 189. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*p + 1311 = 198*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1013\/3 - -8087\/24. Find the common denominator of -25\/88 and c.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 12, 9, 6, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from ththtxtxxhhthhhttt?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14263323 or 14263370?\nAnswer: 14263323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/456 and 29\/281295?\nAnswer: 2250360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -492 <= -541024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, r: 3, o: 1, q: 1, m: 7, k: 3}. What is prob of sequence pqo?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 1. Calculate the lowest common multiple of v(7) and (-5)\/(1\/2*-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27661059119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, r: 2, p: 2, g: 6}. What is prob of picking 1 p and 2 r?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 777?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 31*q**6\/30 + 14*q**2 - 24*q - 33. Let r(w) be the first derivative of p(w). Differentiate r(u) with respect to u.\nAnswer: 124*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18087 - 18085. Which is the smallest value? (a) -0.06 (b) d (c) -4\/433\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -257*h - 2038, h - 320*f - 1 - 57 = 6*h - 318*f for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjxjxjjxjx. Give prob of sequence xjx.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65645 divided by -13129.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 38 - (-1 + 11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(0 + 1)*0. Suppose s = -3*h + g + 22, h + h = -2*g + 4. Let z(o) = -o**3 + 5*o**2 + 8*o + 1. What is the tens digit of z(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -820.339 - -820. What is r rounded to 2 dps?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**3 + 9*n**2 - 391*n - 1960. Calculate a(-5).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**4 - c**3 - 89957 - 20*c**2 + 0*c**4 + 2*c + 89959 in the form x + n*c + d*c**4 + o*c**3 + t*c**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g = -33*g + 116896. Do 2249 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-6)\/(-3) + -1. Suppose -c*p - 28 + 10 = 0. Let g = -3 - p. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**2 + 3*p**3 - 2*p**2 - p**4 + 3*p**4 + p - 4*p**3 as w*p**3 + b*p**4 + s*p**2 + h + x*p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-83*r - 246*r - 368*r)*((7*r - r - 4*r)*(2*r - 2*r - r) + (2*r - 6*r + r)*(7*r - 2*r - r)) to s*r + i*r**3 + l*r**2 + m and give i.\nAnswer: 9758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115503352 (base 6) to base 15.\nAnswer: 2e1735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-219*r**2 + 1 - 9 + 8)*(-2*r + 5*r - 2*r) - 570*r + 24*r**3 + 570*r to w + f*r + o*r**2 + z*r**3 and give z.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -19025*y**2 - 370*y - y**4 - y**3 + 19025*y**2 as q*y**2 + w*y**3 + o*y**4 + d + u*y and give u.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -28861 at least as big as -28861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23, -58, -105, -170, -259, -378, -533, -730?\n\"Answer: -w**3 - 28*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**3 + 21535*x**2 + 172520*x + 345200 = 0. What is x?\nAnswer: -4, 4315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276, 569, 892, 1251, 1652, 2101?\nAnswer: 2604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**2)**(-17)*(i*(i\/((i\/(i\/(i**(1\/4)*i*i)))\/i*i))\/i)\/i**(-8))\/((i**(2\/9))**(-2\/13))**(4\/17) assuming i is positive.\nAnswer: i**(-487241\/7956)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13867 and 942673.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5710 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.5201 to 1 decimal place.\nAnswer: 16.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 2*x**2 + 5*x. Give q(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 5:30 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 11. Let i be f(15). Let h(p) = p**3 + p - 1. Let w(o) = -o - 1. Let g be w(-1). Let a be h(g). Sort a, 5, i in descending order.\nAnswer: 5, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k**2 + 2*k - 2. Let q(i) = -68*i**2 - 10*i + 22. Let c(b) = 71*b**2 + 10*b - 25. Let l(u) = -4*c(u) - 5*q(u). What is -2*l(d) + 11*w(d)?\nAnswer: 9*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 6:12 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 - -147. Suppose -2*y + z = 2*n, y - 2 = 2*y + 4*n. Solve -q = 3*i - 4, 4*q - i = y*i + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 15*c**2 - 11*c + 21. Calculate p(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - x + 5 + 3*x + 4*x - 5*x + (4*x + x - 3*x)*(2 + 0 + 0) + 6*x - 3*x - 2*x + 3 + 2*x - 3 - x + 0*x + 4*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*k - 56554*k**3 - 186*k + 90 - 90.\nAnswer: -56554*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 8*h**2 - 6*h + 11. Give g(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffxfxffxffffxx. Give prob of sequence xxxx.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, v: 4, b: 6}. What is prob of sequence bbv?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 h when three letters picked without replacement from sjmhavhm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25146 - 256?\nAnswer: -25435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*c**2 + 77*c**2 - 148*c**2.\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 366015510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + p**3 + 17375 + 9008 - 1400*p**2 + 1400*p**2.\nAnswer: -p**3 + 26383","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 5*i + 7. Determine q(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17381368 is divided by 93.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s - 8*s - 12 - 5*s**3 + 17*s**3 - 43*s - 33*s**2.\nAnswer: 3*(s - 4)*(s + 1)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*v**2 - 397*v - 421*v + 818*v - 112*v**2.\nAnswer: -530*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*f*s**3 + 104*f*s**2 - 45905*f - 499*s**2 - 155 with respect to s.\nAnswer: -114*f*s**2 + 208*f*s - 998*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 9, h: 4, d: 1}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.91 times 3?\nAnswer: -26.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -35. Let v(d) = -d**3 - 4 + 9*d - 4*d**2 + 5*d**w - 8*d. Does 9 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620 - 627 + 1247 - 238360*r.\nAnswer: -238360*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) -0.1576 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-17)*332656\/14676.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 5*q - 2020*v + 2018*v, 62*q + 4*v - 360 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(76) + sqrt(76)*-3))\/(sqrt(44)\/(sqrt(11)*-3) + sqrt(4)).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/6*2\/(-3). Sort -2, -12, c in increasing order.\nAnswer: -12, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(1260) + sqrt(35)))\/sqrt(5))**2 - ((sqrt(35) - sqrt(560) - sqrt(35))\/sqrt(5) + sqrt(343)*-2).\nAnswer: 18*sqrt(7) + 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -da9 (base 15) in base 16?\nAnswer: -c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37730 by 4.\nAnswer: 18865\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 10 = 32 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -135?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -7*a**4\/4 - 5*a**3\/3 - a**2\/2 + 18*a + 4382. Let m(j) = -8*j**3 - 6*j**2 - j + 19. What is -5*m(n) + 6*z(n)?\nAnswer: -2*n**3 - n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -1\/2688*g**8 + 0 + 0*g**3 + 14*g**2 - 13\/1680*g**7 - 3\/40*g**5 + 0*g**4 + 0*g - 1\/20*g**6. Factor p(h).\nAnswer: -h**2*(h + 1)*(h + 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 466 = -278. Does 11 divide 4 + -3 - 11\/((-22)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) + sqrt(18)\/(sqrt(6) + sqrt(150)))*3 + 0.\nAnswer: 121*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 309 - 285 = 0. Let j(b) = -b**3 - 6*b**2 - 6*b + 2. What is j(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, y: 5, l: 2}. Give prob of sequence xyyl.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p**2 + 225*p + 3966. What are the prime factors of f(-16)?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12500739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + 2*a**2)*(-a**2 - 4 + 2 - 3).\nAnswer: -2*a**4 - 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 38a?\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, o: 1, z: 7, s: 1}. What is prob of picking 2 f?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/(7 + (15 - (-75)\/(-4)))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 66\/88 - (-6)\/(-8). Suppose -12*i + 198 - 18 = x. Solve 10 = 17*d - i*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(5\/(-3)) - 17. Let d be 32\/18 + u\/(-63). Suppose 24 = d*f + 2*f. Calculate the smallest common multiple of 10 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqssqqsqqqsqqqsqqrs. Give prob of picking 3 s.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67131102 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 22. Let v(q) = -6*q - 121. Let c(f) = -4*v(f) + 22*z(f). Let l(y) = 111 + 74*y - 39*y - 33*y. What is c(l(i))?\nAnswer: 4*i + 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239615 is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p + 21. Let k(n) be the second derivative of -n**5\/20 + 2*n**4\/3 + 2*n**3\/3 - 5*n. Is k(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160.081 + -145.96. Let c = f - 0.121. Sort 4, -0.2, c in descending order.\nAnswer: c, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7738814 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a756c (base 13) in base 14?\nAnswer: 49bc78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - z**2 + z + 6. Let w be m(0). Let v = 28 + -28. Solve u - 5*c = 14, 2*u + c + v = w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/56457 and 139\/19926.\nAnswer: 338742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -19*z + 5\/6*z**3 - 3*z**2 + 0. Differentiate p(l) wrt l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/1 - 10\/(-3). Let n be (-4)\/18*(0 + 6). Sort 5, n, z in ascending order.\nAnswer: n, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -7, -25, -47?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3060671421?\nAnswer: 3, 67, 15227221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 25464*h**3 - h**4 - 50921*h**3 + 9*h**2 - 8 + 25459*h**3 - 2*h = 0. What is h?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1071.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**6\/3 - 6*q**5\/5 + q**4\/2 + 2*q**3 - 2*q**2 - 2. Factor u(i).\nAnswer: 2*i*(i - 2)*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*k + 75*k - 5492 = 3094 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 2*m**2 - m - 3. Let k be s(-3). Solve 4*q = -5*x - k, -12 = -5*q + 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3\/5 - 1009024*b**2\/5 + 55502262*b\/5 - 54493236\/5 = 0.\nAnswer: -504567, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11472615 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 105*d**5 + 453*d**4 - 1935*d**3 + 555*d**2 + 1830*d - 1008 = 0?\nAnswer: -7, -1, 24\/35, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20687 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2. Let c(j) be the second derivative of -5\/12*j**4 + 0*j**3 + 0 - 7*j + 0*j**2. Determine c(w(f)).\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127453 is divided by 845.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-1)*d**29*d*d**(-17) assuming d is positive.\nAnswer: d**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2927123.\nAnswer: 2927123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (16\/20*93*10)\/((-5)\/(-25))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((333\/222)\/((-9)\/(-4)))\/(2\/66). Solve 16 = -f*y + 6*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*m - 3*m**3 + 0*m**3 + 5*m**3 to the form f*m + j*m**2 + h + d*m**3 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -590, -592, -594, -596?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005417 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191 + -48. Let c = -147 + j. Is c at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 87126?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 4. Let n be (-6)\/12 - (-1)\/2. Let i(m) = 2 + n - 3 + 2. Determine a(b) + 6*i(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + m**3 - 3*m**3)*(3*m**2 + 0 - 5*m**2 + 2*m + 1).\nAnswer: 4*m**5 - 4*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*(-2 + (2 - -1)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110000111 + -110?\nAnswer: 10110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5)*b)**(-26\/5))**(2\/11)*((b**(-2\/7))**(-2\/55))**(-2\/9) assuming b is positive.\nAnswer: b**(-9868\/17325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*84.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-14\/3)\/n)**(-50)\/(n**(2\/49)*n**(-1\/16)*n))**18 assuming n is positive.\nAnswer: n**(1992297\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (12 - (-15 + 19)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.406 in -5, 3\/4, 2, 6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 72806*k**3 - 2*k**2 - 71*k + 72. Is g(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {u: 1, z: 11, f: 4, p: 1, r: 1, o: 2}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*x - 2*f, 5*x + 157*f - 154*f = 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m - 4*m + 4*m)*(0*m**2 + 4*m**2 - 3*m**2)*(-3*m + m + 3*m) + (24 - 4 - 45)*(-m**4 + 2*m**4 + m**4) as r*m**3 + c*m + x*m**2 + p*m**4 + k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c + 41. What is the remainder when 86 is divided by y(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + y**2 - y - 1. Let v(q) = 6*q**2 + 27*q - 5. Let h(u) = -6*d(u) + v(u). Find the second derivative of h(m) wrt m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(54)*-6)*-3 + ((-3*(sqrt(152) - ((sqrt(152)*2 - sqrt(152)) + sqrt(152) - sqrt(152))))\/(sqrt(8)*2*-2))**2.\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 452 + -210. Let y = -112 + u. What is the greatest common divisor of y and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1014 divide 1001238440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194400042?\nAnswer: 2, 3, 32400007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + 24)*-1 + 22\/10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfw when three letters picked without replacement from {w: 4, q: 3, t: 2, p: 9, f: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-6 - (2 - 3)) + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1399802 - 83483.9?\nAnswer: -1483285.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4 - -3) + 1)\/(-2). Suppose 3*q = 2*x - 101, x + o*q = 3*q + 55. Let c = x - -10. Does 31 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*i - 64, 8*i = 3*i - 20. Let p(o) = o**2 - 11*o + 32. Let z = 49 - 43. Let q be p(z). Solve 3*x + 0*w + 4*w = b, 2*w = q*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 7*l + 11. Let w be b(4). Let n be ((w\/1)\/4)\/((-33)\/(-14872)). Let s = n + 114. Find the common denominator of 44\/39 and s.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 8*k + 10. Let b be l(-7). Let u be (-4 + 3)*(-5 - -5). Suppose z = 3*v + 5, 3*v + u*v + b = 0. Solve -4*t + z*t = -10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 7*n + 2. Let t be c(7). Let w(o) = -o. Suppose 3*m + 27 = -2*s, -3*m + 2 + 7 = -4*s. Let i(x) = x**2 - 4*x - 1. Give s*w(q) + t*i(q).\nAnswer: 2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 32. Let g(l) = l**2 - 65*l**3 + 5 + 67*l**3 - 2*l - d*l**2. Let z(f) = 3*f**3 - 5*f**2 - 2*f + 6. What is -5*g(r) + 4*z(r)?\nAnswer: 2*r**3 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 55*m - 31 - 58 + m**2.\nAnswer: m**2 + 55*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 1\/(3\/(-3)). Let n be (3\/1 - -74)*d. Calculate the highest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*x + 7 = -5, -20 = -5*x. Solve l*j - 6*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-280)\/154 - 2\/11) + 3. Let a be ((-6)\/(-22))\/(4\/20). Is r greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 16 = -15*k, 0 = k - 330*a + 329*a + 47 - 52 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 355.21 - 355. What is the third smallest value in 0.3, 5, -0.1, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -23*n - 44. Let z be h(-3). Let x = 27 - z. What is the biggest value in x, -1\/9, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11050 and 2?\nAnswer: 11050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-16)*-6*(-4)\/6. Let f be 2 + 15\/10*2\/p. Suppose -5*k + 3*q = -25, 0*k + f*k - 4*q - 26 = 0. Solve 0 = 2*w + k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1. Let x(a) = 19 - 13 + 2*a**2 - 4*a**2. Suppose 0 = 5*m + 3*n + 1 - 0, 4*m + 4 = -4*n. Determine m*x(u) - 6*b(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 283968.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35246*q - 118 = -35249*q - 4*i, 0 = i - 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.9628 - -3542.3?\nAnswer: 3444.3372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 + 12 - 7*f - 5*f**2 - f**2 - 7979*f**3. Let m be c(-8). Suppose -4*r - m = -52084740. What is r rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-85)\/(-60) - (-24)\/(-32). Which is the nearest to -2? (a) 3\/2 (b) l (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -876309360.0204.\nAnswer: 876309359.5204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117986934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11010101010 (base 2) to base 16\nAnswer: -6aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*t - 2210 - 50*t**4 + 22*t + 2204 to u + r*t**2 + j*t**4 + c*t**3 + x*t and give j.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 657, 1326, 1997, 2670, 3345, 4022?\nAnswer: 4701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 3. Let s = -11 + 7. Let l be x(s). Let q be ((1 + -2)*40)\/l. Calculate the greatest common factor of 16 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdgbbggbb. What is prob of picking 2 g?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 0*s - 6. Let f be (s\/6)\/((-3)\/(-36)). Solve f*u + 2*q - 12 = 0, -2*u - 2 = -0*u + 3*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 651.1827 years to millennia.\nAnswer: 0.6511827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - ((sqrt(99) - 6*((sqrt(99) - 3*sqrt(99) - sqrt(99)) + sqrt(99) - sqrt(99))) + sqrt(99))))\/((sqrt(90)*-5)\/sqrt(10)).\nAnswer: 18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -123, -196, -285, -396, -535, -708?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.00885 - -81.15215. Let l = 0.161 - f. Let d = l + 85. Which is the smallest value? (a) d (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/3, -26, 40, 2, -0.9, 17?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What are the prime factors of 116\/(-14)*(-93170)\/220?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 151875\/4 + 3\/4*j**2 - 675\/2*j.\nAnswer: 3*(j - 225)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o - 6. Let f be o*(-951)\/(-6)*(1 + -2). Suppose 4*t - 135 = f. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110 - -1134. What is the third derivative of -1965*t**2 + 213*t**3 + l*t**2 + 1023*t**2 wrt t?\nAnswer: 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 63, 258, 585, 1044, 1635, 2358?\n\"Answer: 66*b**2 - 3*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117475 to the power of 1\/2, to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 4. Suppose 4*w = -2*g + 22, 5*w + 6*g - 26 = 2*g. What is a(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(68) + -2) - (3 + sqrt(68) + sqrt(68) + sqrt(68)*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1864 + 5681. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -258, -14\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -11808\nAnswer: -11813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 3674?\nAnswer: -3673.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12100222 (base 3) to base 15\nAnswer: 125e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdwdwwwwddrdrdjjwrd. What is prob of sequence djjw?\nAnswer: 49\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:36 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-417 + 779 - 83)*(15*r**3 - 14*r**3 - 11*r**3).\nAnswer: -2790*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 3 - (-5 + 35)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2 - 6528*q - 2852331 = 0. Calculate q.\nAnswer: -373, 2549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5429908?\nAnswer: 2, 11, 123407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4449130, 4449319, 4449634, 4450075, 4450642, 4451335, 4452154?\n\"Answer: 63*g**2 + 4449067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 15) to base 2.\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/45 and 161\/6204?\nAnswer: 93060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 361.1 - 361. What is the closest to 2\/3 in v, 4\/7, 6.4, 0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l + 2*y, -l + 14 = 2*l - 5*y. Let k(d) = 0 + 1 + 3 + 3*d - l. Let q = 3 + -7. Give k(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(468)*-2 + (0 + sqrt(39)\/sqrt(3) - sqrt(26)\/sqrt(2)*-6))**2 + -2.\nAnswer: 10931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2077597 is divided by 2002?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 19*x**2 + 18*x - 31. Suppose 4*v = 2*w + 60, 4*v + 7 = -3*w - 33. Is 3 a factor of b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -64.\nAnswer: 9\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -5, -2, -4 in decreasing order.\nAnswer: 72, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 37. Let r be 1*-1 - (-3 - 2). Calculate the highest common divisor of r and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1068*f*u**4 - 5*f*u**3 + f*u**2 - 20791*u**2 + 2*u wrt u.\nAnswer: 25632*f*u - 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13841\/1770 - 4\/295. Let h be ((-12)\/(-154752))\/((-1)\/(-15978)). Let r = h + 15\/496. Calculate the common denominator of l and r.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 2 + (1 - 1 - 2)*(-1 + 0 + 2))*(-2*f**3 + 2*f**2 - 2*f**2)*(163 - 111 + 4*f - 86) to the form z*f**3 + m*f + c*f**4 + o*f**2 + t and give z.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22419589?\nAnswer: 173, 129593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 519999*i - 1. Let h be c(-1). Round h to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 22 = 5*j, 0 = 4*d - 14*j + 10*j - 24. Solve -d - 42 = 25*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3660 divided by 6\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2455924277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -536.4 + 543.4. Let n = -0.5 - -0.2. Is l bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 y when three letters picked without replacement from nyksskddnyynydyysdk?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + -7 - 0\/((-2)\/(-2)). Let c be 3 + (-1)\/(q\/1). Suppose r = c*r - 101. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4082\/156 + 220\/120.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 5*b - 10. Let k(n) = -n**2 - 9*n - 7. Let q be k(-9). Let v be h(q). Suppose v*j + 0*j = 12. Sort -4, 3\/5, j in descending order.\nAnswer: j, 3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -520 divided by -14815\nAnswer: 104\/2963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -738 divided by -3?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dndndddddndd. What is prob of picking 4 d?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -8, -76, -224, -482?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*q = -3*o + 42, -11 = -4*o - 5*q. Let x be (3\/(-7))\/(-12 + o). Which is the second biggest value? (a) x (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (13 - 7) + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 134810 to the nearest one thousand.\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165911655?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teb when three letters picked without replacement from {p: 6, j: 2, e: 3, b: 1, t: 5}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11989147, -11989152, -11989157, -11989162?\n\"Answer: -5*d - 11989142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + h + 13. Let v be t(4). Let g be (-2 - v)\/((-6)\/6). Solve -1 = -2*b + 3*y, -g*y + 4 - 2 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + -1)*4 + -1)*-3*-1 + 1.\nAnswer: -14 + 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 65 = -33. Suppose -3*x - 9 = -0*l + l, 0 = -l - 2*x - 5. Let m = l - z. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0911 and 62.1.\nAnswer: -5.65731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484929664.\nAnswer: 2, 109, 34757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -2 - 60\/5. Calculate the common denominator of -31\/4 and ((-4)\/8)\/(c\/41).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, -20, 3, 2, -3 in decreasing order.\nAnswer: 3, 2, 0, -3, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33415, -33413, -33411?\nAnswer: -33409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6856 - -6857. Which is the nearest to 0.1? (a) -2\/13 (b) y (c) 13 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 8*u - 3116. Suppose 3*b = -128 + u. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-2.2\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1251 - 1248. What is the remainder when 14 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 113 = -3*x - d, -x + 2*d = -51. Suppose -5*c - 5*m + x = -c, 5*m - 14 = -c. Calculate the highest common factor of c and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*n + 9. What is the smallest common multiple of -6*132\/(-32)*n\/(-3) and 396\/15 - 6\/(-10)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 16) to base 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + u)*(2 - 3 + 2) + (2*u + u - u)*(0 + 5 + 1).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 30691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89094707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189 + -183. Suppose 3*k = x - 69, -x + 2*k + 52 + 12 = 0. What is the greatest common factor of n and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u\/(u**(-2)*u*u)))\/u)**(2\/5)\/(u**(1\/4)\/(u**(-1)\/u)))\/(u*u*u*u\/((u\/((u**0\/u*u*u)\/u)*u)\/u*u*u)*u*u\/u**(3\/11))**19 assuming u is positive.\nAnswer: u**(-2379\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + sqrt(50)\/sqrt(2))*-3 - 4*sqrt(100)\/sqrt(4))\/(sqrt(245)*-1*2).\nAnswer: 5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 9.3. Let m = b + -3.7. Which is greater: m or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 23055705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -543, -1384, -2797, -4794, -7387, -10588, -14409, -18862?\nAnswer: -23959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.6\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -316\/7 + 3665\/77. Calculate the common denominator of w and -59\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409042 rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5)*-125*11\/110. Let x be (-2)\/(-5)*(1 - 11). Sort 12, f, 2, x in decreasing order.\nAnswer: 12, f, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, n: 10}. What is prob of picking 2 z?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*h - 72*h = 70*h - 77. Solve 20*y - 18 = h*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o. Let j(x) = -x + 17. Let g be j(7). Let h(z) = 3*z + g - 10. Determine h(l(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 365.68 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w = -34*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhlx when four letters picked without replacement from {h: 2, l: 7, x: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + 132. Let b = v + -138. Which is bigger: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 + s**2)*(-s + 2*s + 2*s) + 2*s + s**3 - 2*s + (2 - 21 - 6)*(0*s + 0*s + s**2)*(2*s - 4*s + s).\nAnswer: 29*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((2 - (9 + -8)) + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 2264*y**3 - 4539*y**3 + 2270*y**3 + y**4 + 104*y**2 as w*y**2 + k + d*y**3 + x*y**4 + s*y and give w.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1475.0085 + -1468.5. Let a = s - 6.5. What is a rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -162, -138, -94, -24, 78, 218, 402?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(132) + (sqrt(132) + 1*sqrt(132))*-6 + sqrt(132) - sqrt(132))*4)\/(-3*sqrt(192)*-6))**2.\nAnswer: 1331\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -25 + 16 + 5*f - 4*f - 3*f. What is t(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 31*y**2 - 243*y + 7536. What is u(31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*((6*-2*sqrt(110) - sqrt(110)) + sqrt(110)))\/(-5*(-3*(sqrt(100) + sqrt(100) + 1*sqrt(100)))\/sqrt(10)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.48724 rounded to two decimal places?\nAnswer: 3.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2 - 200*a + 2822 = 0. What is a?\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6751188, 6751353, 6751530, 6751725, 6751944, 6752193, 6752478, 6752805?\n\"Answer: o**3 + 158*o + 6751029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 - 8728*w + 2*w**3 + 8728*w - 38 to the form g*w**3 + r*w + j + t*w**2 and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 - -106.51. Let q = 7.59 + l. Let g = -7.09999632 + q. Round g to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 3*k - 5, 5*k = 2*m + 15. Solve -2*z - 28 = m*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (25 + 58 + -54)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4656*o**2 + 2*o**3 + 3*o**3 - 4650*o**2 - 3 + 3*o - 3*o. Let f(x) be the first derivative of x**4\/4 + x**3\/3 + 2. Give d(j) - 6*f(j).\nAnswer: -j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**4\/4 - 5*d**3\/3 - 5*d**2\/2 - 5*d - 3409. Let r(c) = -c - 15. Let s be r(-10). Give g(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 2*o**5 - 2025*o**2\/2 - 349*o - 3. What is the derivative of s(r) wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -66 (c) -3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 3 - -599 - 4\/2. Let w = j - 374. Is 45 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/18)\/((-1)\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 87993*u**2 - 37381*u**2 - 44219*u**2 + (4*u - u - 2*u)*(-3*u - u + 2*u).\nAnswer: 6391*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116b066 (base 12) to base 2.\nAnswer: 1100111000110010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 702 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 974*j**2 - 2*j - 2 - 6 - 1081*j**2 as g*j + x*j**2 + q and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 8761977 to the nearest ten thousand.\nAnswer: 8760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97*l**4 + 95*l**4 + 457*l**3 - 2308*l**3 + 1120*l**2 - 8431*l**2 wrt l?\nAnswer: -48*l - 11106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 66672*b - 200009. What is r(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 915 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525301049?\nAnswer: 7, 13, 5772539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and 56.\nAnswer: -72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -11\/3*k + 4 + 2\/3*k**2 = 0. Calculate k.\nAnswer: 3\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 3*n - 25, -23202*k + 23200*k - 4*n = -52 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*n**2 + 26703*n - 26703*n - 61*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 58 = -1184*h + 1180*h, 211 = -5*h + 12*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 16621*j + 16. Is a(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/8188 and 57\/57316.\nAnswer: 57316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1077*k**3 - 85*k**2 - 2*k + 1. Calculate v(-1).\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -999 (b) -4 (c) -3.29 (d) -0.1 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 500 - 273. Let m = -226.9999396 + l. Round m to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050288 rounded to 4 decimal places?\nAnswer: 0.0503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 732018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + (2 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y*y**(-7\/6))*y**(-5\/2)*(y*(y\/(y*y**(-6\/5)))\/y)\/y*((y\/(y\/(y\/((y\/((y\/((y*y**(1\/6)*y*y*y*y)\/y*y*y))\/y))\/y))*y)*y)\/y*y)\/y*y assuming y is positive.\nAnswer: y**(-73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13452.49 + -13453. Which is the closest to -5? (a) -0.4 (b) 0 (c) z (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (18\/(-2))\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2534 and 20.\nAnswer: 25340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/5 + 12\/420*7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20292 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1, 0.2, -36, 6\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 190 = 70 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - i = -4*m + 12, 0 = -4*i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -94400 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 e when four letters picked without replacement from {z: 1, q: 3, n: 5, e: 6, u: 3}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(120)*5)\/((sqrt(36)*1)\/sqrt(6) + sqrt(6) + (-2*sqrt(6) - sqrt(6))*2).\nAnswer: 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11610, 11611, 11612, 11613, 11614, 11615?\nAnswer: 11616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21312 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -3, -2, -19, 6 in decreasing order.\nAnswer: 6, 3, -2, -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 499745250559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*p + 96. Suppose -3*d = d - p. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h - 53*h + 37763*h**3 + 23*h.\nAnswer: 37763*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40121)\/(-265) + 3*2\/10. What is the common denominator of -57\/4 and ((-66)\/z)\/(0 - 3\/16)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 4*c - 27, -3*w + c + 21 = -3*c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let s(p) = -12*p + 51*p - 13*p. Let u(z) = -z. Let v be -8 + -2 - 15\/5. Let q(b) = v*u(b) - s(b). What is q(o(d))?\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -96.6?\nAnswer: 95.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42d (base 15) in base 7?\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -80*v**4 + 122773400*v**3 + 1657454955*v**2 + 805707460*v + 99754265 = 0.\nAnswer: -13, -1\/4, 1534681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 26. Let g be 0\/(z - (0 + -3)). Solve f - 1 = -v - g, 5*f + 7 = -v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**7\/630 - x**5\/60 + x**4\/6 + 4*x. Let i(l) be the third derivative of z(l). Differentiate i(r) with respect to r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m - 3 = 0. Which is greater: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3494*v**3 + 4053044*v**2\/5 + 4036498*v\/5 + 924\/5 = 0. Calculate v.\nAnswer: -231, -1, -2\/8735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*((sqrt(440) + (sqrt(440) - sqrt(440)*2)*-1)\/(sqrt(640)\/sqrt(4)) + -1))**2.\nAnswer: -50*sqrt(11) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 179*b**4\/4 - b**3\/3 - 10*b**2 - 158. Find the third derivative of j(d) wrt d.\nAnswer: 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52380 and 5217048?\nAnswer: 26085240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/38 + 32\/304. Which is greater: g or -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*j - 24 = -116*j + 2*f, -5*j = f - 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2.12, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -84. Let d = 36 - v. Solve -o - 5 = -d*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112434536 is divided by 148.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-45))\/(6*169\/(-195)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*i - 8*i + 4 + 23*i)*(-8*i + 5*i + i + 3) as d*i**2 + z + j*i and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1.3, 10.01, -10, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3658512 and 880.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 432\/72*(-3)\/(-18). Let x = -10 - -12. Let k(i) = -5*i**2 + i**2 - 9*i**x + 2*i**2 + 1 - 2*i. Determine k(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j = 19*j + 1030. Let c = -514 + j. Let b(m) = 4*m + 1. Determine b(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70869.18nm to centimeters.\nAnswer: 0.007086918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/46251 and 67\/729.\nAnswer: 416259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 184373044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21\/756*-9)\/((-40)\/(-64)))\/((-4)\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o - 2*o - 212 - 670 = 0 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001028246 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6884*c + 6906*c = 10560. Calculate the least common multiple of 360 and c.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12127177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39\/9*3 - 3. Solve -4*q = 4*k + r - 26, -k + 4*q - 1 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34, 161, 356?\n\"Answer: 195*f - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 5*s. Let h be c(5). Let n be (-59832)\/(-171) - (h - 0). Let d = n - 350. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*q)*(-16 - 9 + 1)*(-6 + 4*q - q + 5).\nAnswer: 144*q**2 - 48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 21416?\nAnswer: 64248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40526.\nAnswer: 2, 23, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/10 and (-2)\/3 - 77\/22?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -191*v. Let r(g) = 15*g**2 + 60*g. Let f(m) = m**2 + 6*m. Let p(c) = 10*f(c) - r(c). Determine n(p(i)).\nAnswer: 955*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3, 0 = 3*t + 4*u - 0 - 4. Suppose -4*f - 16 = 4*p, f + 3*p + 16 - 2 = t. Suppose 5*l - 18 = -8. Which is greater: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -25*n - 21. List the prime factors of u(-6).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 43*s**2 + 9*s + 425. Determine t(-43).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p**(-7)*p)*p))**27*(p\/(p**(-2\/7)\/p))\/p*(((((p\/((p\/p**(-5\/9))\/p))\/p)\/p)\/p)\/p)\/p assuming p is positive.\nAnswer: p**(-10412\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*m + 205 = 0, 5*m - 10 = -5. Let i(x) = 70*x - 480. Let c be i(9). What is the greatest common factor of q and c?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 960 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a**3 - 2*a**3 - 2*a**3)*(-4*a + a + 0*a + (3 - 2 + 0 - 3 + 4 + 1 + (1 + 2 - 1)*(-1 + 4 - 2) + 3 + 2 - 2 + (1 - 3 + 3)*(1 - 1 + 2))*(-2 - 2*a + 2)).\nAnswer: -92*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(160)\/sqrt(2)))\/(sqrt(60)\/((sqrt(10) + sqrt(10)*3)*-6 + sqrt(10))).\nAnswer: -23*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50202876 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1210\/(-3)*(2 + 1659\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*v - 3*v + 13*v.\nAnswer: -37*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*i**2 - 74*i**2 + 324*i**2 + 226 - 111*i**2 - 75*i**2 - 226.\nAnswer: -55*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 5*h + 2. Let v be x(-2). Let y = -8 - -5. Sort v, y, -10 in increasing order.\nAnswer: -10, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q - 11*q**3 + 50*q - 41*q + 57*q**3.\nAnswer: 46*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from okwbe?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 68*1*(2 + -3). Let t = -64 - x. Factor -10*o**2 + 32*o + t*o**2 + 17*o**2 + 5*o**2 + 2*o**3.\nAnswer: 2*o*(o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18064 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13165696*f**2*n**3 + 1839796*f*n**3 + 8*f*n wrt f?\nAnswer: -26331392*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 26 + 22 - d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 106086 (c) -0.3 (d) -2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2012 = 4*j - 5*b, -2*j + b + 0*b = -1006. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 12*x + 5. Let a be d(12). Suppose -176 = -i + a*n, -i = -2*i - n + 176. Is i a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**3 + 2*t**2 + 4*t + 2. Let x be g(-2). Let r be (-8)\/20 + x\/(-10). Let u(v) = -3 + 3 + 0 + r*v**2. Let p(s) = 2*s**2. What is u(p(f))?\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i - 6*i)*(-1 - 2*i**2 + 1) + 4*i**3 - 2*i**3 - i**3 + (-14*i**2 + 16*i**2 + 31*i**2)*(-6*i - i + 4*i) - 10*i**2 + 10*i**2 - 12*i**3.\nAnswer: -106*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 334 - 1305 = -4*l, t - 1221 = -5*l. Suppose f = -2*o + l + 99, f + 507 = 3*o. Round o to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 34306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 5*j**3 - 25*j**2\/2 + 15*j - 115. Is 15 a factor of l(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 12:34 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -7. Let v = -6 - t. Calculate the common denominator of 89\/2 and (-3)\/15*(v + 36).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -42415 and 0.39?\nAnswer: 42415.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -904 divided by 4?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(68) + sqrt(68) + -2)*-4 + -1*(2 + -1*sqrt(68) + (-1 + sqrt(68))*-4).\nAnswer: -86*sqrt(17) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2)*c**(-2\/5))\/(c**(-7\/2)\/((c*c\/(c*c**(-2\/5)))\/c)) assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 3*r - 1, 0*h + 3*r = -h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 i, 1 b, and 1 y when four letters picked without replacement from ybidybic?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*q + 4*q**2 - 3*q**2 - 48*q)*(-4 + 4 - 3*q).\nAnswer: -3*q**3 + 72*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6047014286?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -164, -385, -616, -863, -1132, -1429?\n\"Answer: -i**3 + i**2 - 217*i + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -188 - 465*c + 493 - 305 as s + y*c and give y.\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3, 5*a = -2*o + o + 72. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2. Let u(k) be the third derivative of -k**7\/315 + 11*k**4\/8 - 41*k**2. Let d(y) be the second derivative of u(y). Give t(d(b)).\nAnswer: -128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*t**2 + 10515698\/9 + 9172\/9*t.\nAnswer: 2*(t + 2293)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjsjjjjsjsjjsjjj. What is prob of sequence jssj?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -b92 (base 16) to base 14\nAnswer: -1118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-5\/8)\/m*m*m**(-2\/9)\/m*(m*m*m*m**(-10\/3)*m*m)\/m**(2\/7) assuming m is positive.\nAnswer: m**(269\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224 + -41?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 40 - 32. Factor 2\/3 - 4\/3*o + 2\/3*o**q.\nAnswer: 2*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*q = 1032 - 88 + 68 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 4*t + 25. Let d be g(-8). Let m(k) = -k**3 - 6*k**2 + 2*k - 32. What is the remainder when 14 is divided by m(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33043, -66111, -99211, -132343, -165507?\n\"Answer: -16*s**2 - 33020*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/(-20))\/3*30. Is 11 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-2))\/3 + -2. Let i = 0.28 - -0.02. Let f = -355 - -354. What is the closest to b in -3\/8, f, i?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 6. Suppose 9*b = b + o*b. Solve b = -4*l + 6 + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/7*7\/2. Let l be s + 8\/(8\/3). Suppose 43 = 4*i + 5*u, i + 3*i - 73 = u. What is the highest common divisor of i and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -825?\nAnswer: -820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.6870216km?\nAnswer: 687021600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 0. Suppose 5*h - 15 - n = 0. Suppose -2*j = -h*p + 314, 0*p + p = 4*j + 75. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 4. Let p be (-4)\/(-8) - 7\/2. What is the remainder when 7 is divided by m(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182\/165 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27699 is divided by 325?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1 + sqrt(396) + 5)**2 + -5 + -1 + sqrt(396) - ((sqrt(396) + -1)*-1)**2*-4) + -4.\nAnswer: 6*sqrt(11) + 1989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 100001100 (base 2) to base 12\nAnswer: 1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*l**3 + 189*l**3 - 48*l**3 - 42*l**3 - 48*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 298 and 72265.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/9)\/k)**(-40) assuming k is positive.\nAnswer: k**(320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d - 404. Let u(o) = -o + 6. What is h(v) + 2*u(v)?\nAnswer: 3*v - 392","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + a + 3. Let p(s) = -1118*s**2 + s - 2*s + 1120*s**2 - 4. Calculate -5*f(o) - 4*p(o).\nAnswer: 2*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 8*k**2 + 8*k - 11. Give g(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12345 (b) -2\/13 (c) 2\/11 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -181\/4. Which is the nearest to 0.1? (a) 5 (b) u (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(0 + 0 - 2*n) + 110*n - 118*n + 10*n - 1373.\nAnswer: 4*n - 1373","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14178, 5, 0.3, -1 in ascending order.\nAnswer: -1, 0.14178, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (84150\/(-51))\/(-55) + (-156 - -8)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2)\/(1025\/(-4100))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4662756 (base 8) in base 14?\nAnswer: 251418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8405*x. Let c(d) = -9869*d**2. Determine c(b(n)).\nAnswer: -697185882725*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/20)\/(53\/(-106)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1748 and 828.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -1. Let i be 2\/d - (12\/(-3) - -1). Suppose 2*r + i*r - 652 = 0. What are the prime factors of r?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 - -0.09101.\nAnswer: 0.14101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*d + 32682 = 405*d + 125*d - 50*d for d.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(20))**2.\nAnswer: 20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 4*m + 2, 5*l = 2*m - 6. Let x be l\/6 + (-87)\/9. Is ((-6)\/(-10))\/((-2)\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 12*m - 9. Let w be d(-12). Let k(j) = 2*j**2 - 1. Let b be k(3). Let y = w + b. Solve -3*s - y = 3*i - 2*s, 0 = 2*s - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1152 - -1046. Is p bigger than -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 2*z - 4*z + 31 + 7.\nAnswer: -3*z + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/184586 and 21\/488.\nAnswer: 738344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) - 254\/(-10). Suppose 2*t = t + 5*i - 11, t - i + 11 = 0. Let r = t + b. What is the remainder when 26 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.4996*-3.\nAnswer: -10.4988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -18.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 39. Find the common denominator of -82\/21 and 888\/a*(-8)\/(-54).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85485 divided by 21\nAnswer: -28495\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*q = 17, 4*c + 4*q + 20 = 8*q. Let l(f) = 73 + 2*f - 3*f - 76. List the prime factors of l(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111000 - -110000010100?\nAnswer: 100101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + -4 + 5*(sqrt(475)*-1*-3)**2 + 5).\nAnswer: 85508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/2*(-66)\/55. Let b be (36\/16)\/(a\/(-96)). Let m = 33 - 27. Calculate the greatest common divisor of m and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -234*a**2 - 2337*a + 14. Give o(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 789967723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 234*d. Let g be o(-1). Let n = -161 - g. Let f = n - 45. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 32*f - 124 = 0, 2*x - 24889*f - 38 = -24888*f for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.039 + -3.439. Let b be 3\/(-12)*(-8)\/(-6). What is the smallest value in c, b, 11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 8*d + 30. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-16)*166*(-2)\/237. Let d = t + -2\/79. What is the second biggest value in -2, d, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + 20. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c**(-1\/7))**(2\/99)*((c**(1\/2)*c)\/c**(-2\/7))\/(c**(-6)*c*c*(c**(2\/19)*c)\/c) assuming c is positive.\nAnswer: c**(20903\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 0*a + 7 - 14. Let o(h) = 1. Let p(w) = 3*b(w) + 21*o(w). Let j(m) = m + 5 + 0*m - 5. Determine p(j(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136035 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*w + 2*v, -2*w + 7*w - 3*v - 64 = 0. Calculate the remainder when 51 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 7*b**2 + b + 8. Let w be y(-7). Let g(d) = d - 4. Let l be g(9). Suppose -5*m - 49 + 9 = -l*f, m = -2. Put -2, w, f in ascending order.\nAnswer: -2, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -383 - 113?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-3))\/(-5)*18\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 + 117. Suppose 3*f = -2*f + 4*d - 335, -4*f - 247 = d. Let c be (k\/(-3)*3)\/((-42)\/f). Which is smaller: c or -11\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 601875 and 374500.\nAnswer: 16852500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:10 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 517138 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/8 + 3*r**4\/8 - 5*r**3\/4 - 13*r**2\/2 - 9*r - 4 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0.2. Let d be 10\/176 + (-17)\/(1309\/14). What is the closest to 1\/3 in v, d, -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81466.529 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 8*t - 2*t**2 + 0*t**2 - 14*t + 4. Let f be c(-6). Solve -f*m = 5*o + 30, 0*m + 2*o = 5*m + 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2696765.\nAnswer: 5, 19, 28387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460780 a multiple of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -21.11. Let s = 17.48 - 17.27. Let o = g - s. Which is smaller: -29 or o?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/60)\/(-1)*(-405)\/(-2160).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70, -99, -128, -157, -186?\n\"Answer: -29*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 92 = 2194. Suppose u + 171 = 3*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 28*y**2 + 139*y. Let l be r(-5). Solve -2*q + q + l = -5*f, -2*q = -5*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/9 - 21460*f\/9 + 57566450\/9 = 0.\nAnswer: 5365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + -13 + (2 - -2). Let o = -113.9 + 2.9. Let t = -111.09 - o. Put f, t, 3, -2\/5 in increasing order.\nAnswer: -2\/5, t, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 737 - 735. Suppose k*q + 0*y - 31 = y, -4*y - 5 = -q. Let a(h) = 20*h**2 + 26. Let f(p) = 7*p**2 + 9. Calculate q*f(j) - 6*a(j).\nAnswer: -j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(475) - -2*sqrt(1900))**2 - sqrt(171)\/(sqrt(225)*-3 - sqrt(225)).\nAnswer: sqrt(19)\/20 + 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -230 + 229.99031. Let z = d - -0.01. Round z to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -19026379\nAnswer: 19026380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38453563*p**2 + 818*p + 249713.\nAnswer: 76907126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22320?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 637 and 126.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 7*a**2 + 6*a + 2. Let k be v(-6). Let h(f) = k*f + 2*f + 2*f - 4*f. Let p(n) be the first derivative of n**2 - 1. What is p(h(c))?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3432 + -1402413?\nAnswer: -1343431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(sqrt(171) + (sqrt(171) - ((0 + sqrt(171) + sqrt(171))**2 - sqrt(171))) - sqrt(171))*-6)*1.\nAnswer: -8206 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202130103 (base 6) to base 12.\nAnswer: 11b0933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15663 and 897.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 4*k + 260 = -3*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144\/(-72)*4418\/(-4) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 4*l - l + 0*l + 0*l + l - 2*l + 6*l - 5*l + (l + 2 - 2)*(3 + 3 - 7) + 3*l - l - 3*l + (-1 + 0 + 0)*(13 - 13 - 65*l).\nAnswer: 62*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*l = -97, -v + 0*v + 34 = 4*l. Let b = 8 + -4. What is the lowest common multiple of b and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from qaaqqqqaaaqqqau.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k**2 - 23626492*k + 36752408 = 0.\nAnswer: -656293, 14\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 18*r - 35. Let z be x(20). Let o(y) = z*y**2 - 23*y - 14*y + 37*y. Let a(v) = v**2. Calculate o(a(b)).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 10:05 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*t - 48 = 0, 5*i - 20 = -2*t + 28. Suppose 4*w + 70 + 4 = 2*l, -40 = -l + 5*w. What is the remainder when l is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -156 - -181. Suppose -4*u = -225 + q. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -239, -44, 289, 766, 1393, 2176, 3121, 4234?\n\"Answer: g**3 + 63*g**2 - g - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 573 + -9165\/16. Let k(b) be the second derivative of 0*b**5 + 0*b**2 - y*b**4 - 6*b + 0 + 1\/40*b**6 + 1\/4*b**3. Factor k(u).\nAnswer: 3*u*(u - 1)**2*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-4)\/(-6)) + 0. Let n(r) = 2*r - 2 + u*r**3 + 4 - 1. Is 11 a factor of n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -179 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by 76?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.01 + -3.98. Let l = 65.97 + u. Which is the second biggest value? (a) -3 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 8*x = 45. Solve x = -4*n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3*sqrt(63))\/sqrt(9))**2 + (sqrt(175)*1)**2.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 10*u**2 - 2*u - 3. Let v be w(-9). Let h = v - -109. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*n + 14, -2*i + 5*n = 22 + 13 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.09003 + -0.2074.\nAnswer: -2.29743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2. Let b(v) be the first derivative of 1\/2*v**2 - 3 + 0*v. Calculate q(b(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5039876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113\/340 - 9\/68. Which is the third smallest value? (a) 0 (b) 231 (c) 1\/4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 254 - 254 + 26*y**3 + (-y + 0 + 0)*(4*y**2 + 0*y**2 - 5*y**2) + 0 - 2*y**3 + 0.\nAnswer: 25*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 9*w. Suppose w = -2*y + 2, -2*i = 3*i + 2*y - 102. Solve 17*t = i*t - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6141 + 67*k + 94*k**3 + 126*k**3 - 19*k - 43*k with respect to k.\nAnswer: 660*k**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78654674?\nAnswer: 2, 7, 37, 317, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from unnlunnnufunfnuunun.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101 + 106. Find the third derivative of 44*g**2 - 34*g**2 + 9*g**z - 4*g**5 - 28*g**2 wrt g.\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39545697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 665 - 679 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -120*d - 70 wrt d?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -388.1 - -26.1. Let z = y - -362.00273. What is z rounded to 4 decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2\/5)\/a))**35*(a**(2\/3)\/a)\/(a*a*a**(1\/4)\/a*a*a) assuming a is positive.\nAnswer: a**(965\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/4870670 and 88\/135?\nAnswer: 131508090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 8 = 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12448003*b*i**4 + b*i**3 + 2*b*i**2 + b - 2*i**2 - 8877*i - 97 wrt i.\nAnswer: -298752072*b*i + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + i - 1. Let p(h) = 5*h**2 - 4*h + 4. Let r(q) = -7*g(q) - 2*p(q). Suppose 4*z + 1 = -7. What are the prime factors of r(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 * -0.57\nAnswer: -0.0969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-33))\/(50898\/93313)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 20*f + 2. Let g be b(20). Suppose -z - 6 = z + v, 3*z = -8*v - 35. Sort 3, g, z, -3 in increasing order.\nAnswer: -3, z, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10676120 and 29330.\nAnswer: 10676120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -834 - -833.7. Suppose 252 = -40*y + 61*y. What is the third smallest value in u, y, 0.05?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38185995919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -346*l - 22181. What is o(-63)?\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 1.02471?\nAnswer: -5.12355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 643 - -781. What is the derivative of -i*j**3 + 64 + 1424*j**3 + 77*j**4 wrt j?\nAnswer: 308*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**5 - 44*z**4 + 868*z**3 + 2924*z**2 - 864*z - 2880 = 0.\nAnswer: -20, -3, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**3\/3 - 5296*v**2\/3 - 1766*v = 0.\nAnswer: -1, 0, 2649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-14))\/(1\/(-10)). Let k be (x\/(-1))\/(2\/(-18)). Let j = 77 - k. Calculate the highest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/118302?\nAnswer: -7\/118302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1298 and 12889.\nAnswer: 12889.1298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -112. Let x = -56 + g. Let l be -2*(-1)\/x - 3. What is the second smallest value in l, 0, 3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1344) - ((sqrt(1344) - -5*sqrt(1344)*-2) + sqrt(1344))) + sqrt(1344))\/((sqrt(3) + (sqrt(12)\/sqrt(2))\/sqrt(2))*-6))**2 + 5 + -4.\nAnswer: 2809\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 21*h**3 - 7*h - 7. Let f(r) = -10*r**3 + 3*r + 3. Suppose -82 = 40*o - 202. Determine o*a(x) + 7*f(x).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 978897659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/6)\/(2\/(-72)). Suppose -4*q = -5*m + 4 + 11, -4*q - 4*m = -j. Solve -5*x = -q*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62688.\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 200\/20 + 3\/((-6)\/8). Suppose -r*z + 21 = -195. Suppose -2*m + 2*t = -5*m + 14, -9 = -3*m + 3*t. What is the highest common factor of m and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2. Let k(f) = -70*f**2 + 3*f - 4. Let h(x) = k(x) - 5*y(x). Let n be h(-7). What is n rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741558 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*i - 112*i - 109*i - 116*i + 536*i - 101*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s + 9. Is g(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/7 - (-21057)\/84*4.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -737*d - 4358. Calculate the lowest common multiple of l(-16) and 18.\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10943 is divided by 1467?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 0 + 2*q - 3 + 0 - 2. Let c be o(7). Let m = c + -7. What is the smallest common multiple of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.099 - 6.101. Let h = r - -1.2. Which is the third biggest value? (a) -0.4 (b) 5 (c) h (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -990 + 989.417. Let j = 5.583 + x. What is the second biggest value in -3\/2, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 615\/4256 + -1\/608. Sort p, 5, -1\/4, -3.\nAnswer: -3, -1\/4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 + 144 = 516*i - 254. What is the closest to 3 in -20, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/2*0)\/1. Suppose -7 = -3*b + 35. Suppose 5*o + d - b = -d, 3*o - 5*d = 27. Sort v, -1, o in descending order.\nAnswer: o, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 7 + 13. Suppose -3*d = 2*c - 19, 6*c - 29 = -h*d + 2*c. Solve -11 = 5*g + d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by 306.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -7\/45*g**6 - 2\/21*g**7 - 1\/9*g**3 + 1\/6*g**4 - 3*g + 1\/10*g**5 + 0*g**2 + 0. Determine n, given that x(n) = 0.\nAnswer: -1, 0, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 20*w. Let u(h) = -21*h - 99. Determine g(z) + u(z).\nAnswer: -z - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -38. Solve -k = k - 3*o + 5, f*o - 35 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/63*9\/(-12)*-6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 7:03 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4 + sqrt(9)\/sqrt(3) - (sqrt(192) + (sqrt(192) - (sqrt(192) + sqrt(192) + -1)**2) + sqrt(192))) + 3).\nAnswer: -55*sqrt(3) + 776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.137853101+-0.8\nAnswer: -0.662146899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 16 = -61 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-21) + (-18)\/14. Let q = g + 6. Suppose -5*k - 3*w + 20 = -7*w, -w = -2*k + 5. Solve k = -3*d - q*z + 25, -5*d - 14 - 6 = -4*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1455, 1477, 1511, 1557, 1615?\nAnswer: 1685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 6. Give c(-12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 108749850 to the power of 1\/2, to the nearest integer?\nAnswer: 10428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/10)\/((-16)\/(-80)). Factor -3 - 6*c**2 + 0 + 3*c**b - 3*c**2 + 9*c.\nAnswer: 3*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.01? (a) -2\/75 (b) 3 (c) -1 (d) 21 (e) 1.4 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20332305 * -0.5\nAnswer: -10166152.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1400\/18 - ((-6)\/(-27))\/(-1). Let k(m) = -s*m**2 - 4*m + 81*m**2 + 4*m. Let r(o) = 16*o. Calculate k(r(y)).\nAnswer: 768*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 64\/7 - (-4)\/(-28)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -4. Suppose 2*h = t*h - 9. Let c(p) = 7*p**2 + 4*p + 6. Let y(g) = -6*g**2 - 3*g - 5. Let u(l) = -5*c(l) - 6*y(l). Determine u(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (70670\/(-4))\/((-40)\/(-480)). What is the tens digit of (-8)\/68 - m\/170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 93 = 3*n, 0 = 4*k - 5*k + 5*n - 7. Let p be (4\/3)\/((-18)\/k). Suppose p*l + 3*l = 25. Is l smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5620.062ml in litres?\nAnswer: 5.620062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -25. Let p be -1 + (10 - c\/2). Let n(x) = -24*x - 164. Let w be n(-9). Calculate the greatest common divisor of w and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -413644934860 and -0.5.\nAnswer: -413644934860.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.43*-0.2\nAnswer: -0.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 14 = 0, -89*x + 88*x = r - 38044. What are the prime factors of r?\nAnswer: 3, 31, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94766\/157 or -604?\nAnswer: -94766\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0303 * -0.06.\nAnswer: -0.001818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1704*l - 128. Let c(r) = 1013*r - 77. Determine 12*c(i) - 7*y(i).\nAnswer: 228*i - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12*j + 5. What is z(-3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 786 + 19*c - 137 - 119 - 530.\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**5\/60 + 3*o**2. Let b(g) = -18*g**2. Determine i(b(t)).\nAnswer: -324*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0413 + -0.2413. Let w = 0.17 - 0.57. Which is the second biggest value? (a) g (b) w (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1348*r**6 - 3*r**5 - 25529*r**2 wrt r.\nAnswer: -161760*r**3 - 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -60*s**2 + 4342*s - 2170*s - 2172*s. Let y(h) = 3*h**2. Determine y(p(d)).\nAnswer: 10800*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -20, 4*n + 0*n - 4*t = -16. Solve n = -f, -3*u - 4*f + 5*f - 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - 4. Let q be r(4). Let p be (-1)\/((-12)\/q)*6. Suppose -p*i - v = v - 28, 35 = 5*i - 4*v. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*f + 1295, -4*f = -0*f + 3*u - 1720. List the prime factors of f.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 36*m + 3*m**3 + 0 + 0.\nAnswer: 3*m**3 + 32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12206, -12211, -12218, -12227, -12238, -12251, -12266?\nAnswer: -12283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 2. Let g = 11 + -2. Let k(y) be the first derivative of 5*y**2\/2 - 9*y - 1. Let v(l) = g*a(l) - 2*k(l). Let p(s) = -s**2. Determine v(p(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 65*y - 2. Is i(44) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 6*h**2 - 22*h - 135. What is j(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 141, 147, 153?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77.36 + -77.86. What is the third biggest value in x, -4\/3, 8, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3206351.\nAnswer: 593, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 19 + 42*b + 11)*(176*b + 39*b + 290*b).\nAnswer: 21210*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/11 - 61026*q\/11 + 931043169\/11 = 0.\nAnswer: 30513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 29 + 155)*(1 - 2*r**3 - 1) - 3*r**3 + 2*r**3 - r**3.\nAnswer: -244*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1034, -1031, -1018, -989, -938, -859?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -66 + 58 + 103\/13\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {p: 1, u: 1, d: 1, j: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + -2*sqrt(85)*1 - sqrt(85))\/sqrt(5).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 182*b**2 - 3*b - 3. Let n(j) = 141231*j**2 - 2327*j - 2327. Let c(d) = 6*n(d) - 4654*q(d). Let u(v) = -7*v**2. Give u(c(i)).\nAnswer: -897148*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i + 2. Let d(c) = 6*c + 4. Let a(r) = -3*d(r) + 4*l(r). Let w(u) = u - 2. Let k(n) = 5*a(n) - 8*w(n). Determine k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-8)*(-2)\/6. Sort l, -1\/9, 3 in decreasing order.\nAnswer: 3, l, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -95\/4. Let a = 412868\/19 - 21730. Sort a, s, 1 in increasing order.\nAnswer: a, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {n: 11, t: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-175)*2)\/((-6)\/40).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -2, 2, -35 in decreasing order.\nAnswer: 7, 2, -2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a - 9. Let b be h(-3). Suppose -4*u + 2*u = b, -3*m = 3*u - 204. Suppose 4*q + m + 6 = 3*t, -4*t + 136 = 4*q. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -99, 5, -2 in descending order.\nAnswer: 5, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 31 - -2) + (-469 - -425)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -0.5 (c) -8 (d) 0.5 (e) -15 (f) -126\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11 - k + 11. Let b(v) = 4*v**2 - 7*v. Let g(x) = 10*a(x) - 2*b(x). What is the second derivative of g(f) wrt f?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1549679 divided by 2\nAnswer: -1549679\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2. Let h(r) = -11879*r. What is z(h(u))?\nAnswer: 564442564*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76239)\/(-3612))\/(6\/(-4)) - 1\/(-14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 7:28 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -708, -706, -704?\n\"Answer: 2*m - 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5, -4*f - 4*i + 71 = -3*i. Let d = f + -13. Calculate the lowest common multiple of d and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**3\/3 - x**2\/2 - x - 8. Let z(f) = f + 1. What is 2*o(c) + 2*z(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.40459, 0, -84, -0.4?\nAnswer: 0.40459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-2 - (0 + 2)) + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 0*w - 45. Suppose w*y + 66 - 12 = 0. List the prime factors of 4\/(-12) - 626\/y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -1. Let g be ((-4)\/(-6))\/(4\/(-69)). Let w = 119\/10 + g. Which is the nearest to p? (a) w (b) 2\/13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79\/4372017 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**2 + 1\/150*q**5 - 29\/45*q**3 + 9*q + 2 - 13\/90*q**4. What is k in s(k) = 0?\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -29, -30, 0.5, 47 in decreasing order.\nAnswer: 47, 0.5, 0.3, -29, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksvkjkkkjjj. Give prob of sequence jv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 415, 828, 1241, 1654?\n\"Answer: 413*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -31877 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 26, -3, -56, -139, -258?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3305*d**2 - 1639*d**2 + 3 - 1621*d**2 in the form r + s*d + l*d**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708 - 357 + 6*j + 2*j - 351.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 10 = -c, 0 = -5*c - 395*j + 393*j + 22 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + f - 2. Let v = 29 - 31. Let y be 12*(-4 + (-9)\/v). What is the units digit of b(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(567))**2 + sqrt(7)*-2*-3.\nAnswer: 6*sqrt(7) + 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 5*v = -n, 5*v = 2*n + 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 927 = 52. Is 35 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 7)*(-s**2 - 8*s**2 - 9*s**2)*(0*s + 2 + 22*s + 4*s).\nAnswer: 936*s**3 + 72*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.2. Let p = 0.05219 + 0.94781. What is the nearest to m in 0, p, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176)*1)**2 - sqrt(176)) + 2)*-1.\nAnswer: -178 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5748 + 5780 = 0. Let f(q) = -q**2 - 9*q - 3. Calculate f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -182 + 193. Suppose -i - 5*p + 75 = 4*i, -3*i + 3*p = -39. Suppose 0 = -i*l + c*l + 57. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008578 to seven dps.\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1344 and 208152?\nAnswer: 1665216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-14)*(-847)\/(-22). Sort g, -1, 1, -2 in ascending order.\nAnswer: -2, -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. Let j = -3 - -5. Let w = 3 + 2. What is the nearest to 0 in j, x, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.145, -99295, 6.\nAnswer: -99295, 0.145, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 13177796 + 56917056 = 0. Suppose 4*b + 5*a + 4373886 = 5*b, 0 = -b - 3*a + p. Let g = b - 7673911. What is g rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 21\/5. Let t = -7840 + 7840.1. What is the nearest to t in 0, 47, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + (6*sqrt(63))**2 + sqrt(7)*2*-2 + 1 + sqrt(7) + -2 + -1)*-3.\nAnswer: -20385 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -432060, -432064, -432078, -432108, -432160, -432240, -432354?\nAnswer: -432508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o - 12. Let s be o - 5 - -2 - 0. What is the closest to -1 in 2\/3, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 + 85 - 65) + -1 + -11 + 1.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14702, 14754, 14870, 15080, 15414, 15902, 16574, 17460?\n\"Answer: 5*c**3 + 2*c**2 + 11*c + 14684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/2*20\/(-15). Suppose 5 = -3*w + 5*z, -18*z - 8 = -20*z. Calculate the smallest common multiple of (-27)\/(-36) + 33\/q and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84358.\nAnswer: 2, 42179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 540351135?\nAnswer: 540351131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkuuuuuu. What is prob of picking 3 u and 1 k?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4077444 + -2.9\nAnswer: -4077446.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k**2 - 24*k**2 + 153*k**2 + 124*k - 86*k**2 - 23*k**2.\nAnswer: -7*k**2 + 124*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 9*r**2 + 14*r - 26. Let o be i(-12). Let l = o - -990. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2826 and 1344234.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -79\/20*x**5 - 1\/2*x**2 + x**3 + 0 - 130*x + 0*x**4. Find the second derivative of u(o) wrt o.\nAnswer: -474*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-3) - 2)*-9. Let l be (2 + (-9)\/s)*8. Solve 4*k + 3*h - 5*h + 28 = 0, 24 = -l*k + h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -4, -15, -47.\nAnswer: -85, -47, -15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37357?\nAnswer: 37357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 6. Let v be z(4). Suppose 25 = v*f - 5*d, -f + 0 = 3*d + 4. Let k(w) = 2*w**2 - 22*w - 17. What is the lowest common multiple of k(12) and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6 - -3 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6933, 7035, 7145, 7263, 7389?\nAnswer: 7523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1241443 (base 5) to base 8.\nAnswer: 60057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 3*j**2 - 8*j + 12. Give a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-404))\/(-2*(-2)\/(-48)). Let u = 93 + -92. Is v != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 + -88. Suppose 11*p + v*p = 40. Factor -1\/4*n**p - 1\/4*n + 1\/2.\nAnswer: -(n - 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 70*d**2 + 292*d - 296.\nAnswer: -(d - 2)**2*(d + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 a when three letters picked without replacement from {p: 1, a: 2, r: 3, l: 1, j: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1864\/7 - -266. Let p = -3.34 + -1.66. Which is the second biggest value? (a) r (b) p (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*j - 3*o, 3*j - 2 = 3*o - 8. Solve j*h - 5*h - 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 - (-8 - -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 0.24 (c) -3\/2 (d) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) - -1*sqrt(1539) - sqrt(114)\/(sqrt(54)\/sqrt(9)).\nAnswer: 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.243 < -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27429435 and 786?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.8 minus 1970674750?\nAnswer: -1970674726.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 7:51 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -327*n + 324*n. Which is the closest to n? (a) 5 (b) 0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*w + 5*t, 5 = 4*w + 3*t - 3. Is w at most 18\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -1245?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three thirds of a day in hours?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**5 - 151*a**2 + 2231247*a**4 - 33*a**3 - 2231247*a**4 - 65*a**2 wrt a?\nAnswer: -240*a**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(216) - sqrt(216))\/sqrt(6))\/(sqrt(768)*2).\nAnswer: -3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138720 is divided by 9902?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1600, 3664, 5728, 7792, 9856, 11920?\nAnswer: 13984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*k + 74*k - 135674 = -274*k - 24668 for k.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 3*i**5\/10 - 9*i**2 + 17*i. Differentiate x(z) wrt z.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84844 times -7\nAnswer: -593908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/h**6*h*h))\/(h*h**2))\/((h\/(h*h**13\/h))\/h*h*h*h**(2\/63)) assuming h is positive.\nAnswer: h**(691\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 - (-19 - 5 - (32 + -22))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*r + 1211 = 7231. Is r 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 12520873?\nAnswer: 12520873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/3*2026\/7091?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -192*h**2*z**3 - 8*h**2 + 13*h*z**2 - h*z - 3167*z**3 - 25*z + 1 wrt z.\nAnswer: -1152*h**2 - 19002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16808 equal to 16809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 80 - 320. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 2:42 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1861281 to the power of 1\/2, to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022200220101 (base 3) in base 14?\nAnswer: -241a7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385 - 201 = 10*b + 3*a + 201, -3 = -2*a - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k + 9. Let v(n) = 2*n + 5. Suppose -4*h - 24 = -12, 4*m = 5*h + 67. Suppose -m*y + 48*y = 175. Give y*v(l) - 3*g(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1003*q - 96014. Give m(-96).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.5 - -37. Let x = 97.5 - i. Let s = x + -82.36. Round s to one dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -220*h + 3. Calculate the remainder when w(-2) is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-13)\/(-13))\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**2. Let g(t) = t + 1. Let n(l) = -l - 2. Let u(q) = -2*g(q) - n(q). Give u(a(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*((-5530)\/(-2) - 4). Let g = -18751 + m. Is (15\/9)\/(-5)*g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0, -105035, -4, -10 in ascending order.\nAnswer: -105035, -10, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 7*l - 0*l. Factor -2\/5 + 2\/5*h**l + 0*h.\nAnswer: 2*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than or equal to -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50289524 to the power of 1\/2, to the nearest integer?\nAnswer: 7092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buqeq. What is prob of picking 1 q and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 912.4 to the nearest ten.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5816 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12c - -e4?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 6*x + 5. Let i be t(4). Let n(c) = c**2 - 12*c - 4. Let j be n(i). What are the prime factors of -6*(0 + (-21)\/j)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 15. Let d = x - 12. Suppose d = -2*c, -4*l + c + 3*c + 620 = 0. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 733, 1439, 2147, 2857?\nAnswer: 3569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/7*7)\/((-912)\/10488).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -1 + 12 + -22?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 60*j - 121. Let k be p(2). Let t = 16341531875\/897 + -18217989. Let h = t + 108\/23. Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 24\/5*l**2 + 0*l + 0 + 6*l**3 + 3\/5*l**4 - 3\/5*l**5 = 0. Calculate l.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 222 (b) 2 (c) -0.078 (d) 0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12918937*k**5 + 16941103*k.\nAnswer: -258378740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 659647, 1319527, 1979407, 2639287, 3299167, 3959047?\nAnswer: 4618927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2308 + 2316. Let l(s) be the third derivative of 7*s**4\/12 - s**3\/6 - 2*s**2. List the prime factors of l(z).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -103 - 33*n - 709*n**2 + 355*n**2 + 355*n**2. Determine z(36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhcuchtcchhvhvht. What is prob of sequence huth?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00621052811 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 30 = -h, 18772*h - 3*r = 18771*h + 31 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*r + 2*i + 790, -4*r + 793 = -3*i. Let y = -121 + r. Suppose -2*q = 3*c - 35 - 32, -2*q + y = -5*c. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 10848*m + 21694.\nAnswer: (m - 21694)*(m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95540362 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 3340 (b) 1 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8629.147 millennia in years?\nAnswer: 8629147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*10\/(-9)*(-96)\/(-64)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 13*t + 20. What is k(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 11:03 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10338818?\nAnswer: 2, 7, 738487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2593 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 238*p + 8528. Give a(-36).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l. Let c(r) = -r + 1. Let v(w) = -8 + 11 - 1 - 3*w. Let p(z) = 2*c(z) - v(z). Give p(d(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -2?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -3\/5, 5\/13, 225, -2?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -25832*a + 77787. Give g(3).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 12*y - 58. What is the units digit of t(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g - g**2 + 16 + 0*g + g. Let a be l(11). Suppose 4*r = -a*b - r + 3520, 1429 = 2*b - 5*r. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -2\/207 (c) 6 (d) 1\/7 (e) 469\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/20 and (3\/(3\/41))\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/336 and -27\/28.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18634 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433, 1251, 2075, 2905?\nAnswer: 3741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by 44\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 12*z**2 + 66*z + 36. Let j be (-33)\/2 - 54\/(-108). Let l be g(j). Solve 7*i - 3*i = l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12337706 is divided by 2058?\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*x + 27 + 6, -4*b + 4*x + 40 = 0. Let t(z) = z**3 - 6*z**2 - 4*z + 4. Is t(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -1 - 3. What is the remainder when t + 3 + -3 - -8 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260 divided by -130.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184890 and 3512910.\nAnswer: 3512910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 2*c. Let u = 11 - 6. Let o(b) = b**3 - 4*b**2 - 7*b + 7. Let i be o(u). Let q be m(i). Solve -6 = -5*t - 4*n + 17, 3*n - 15 = -q*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5786019116 to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9888, 9922, 9956, 9990, 10024?\n\"Answer: 34*v + 9854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.3 + -14. Which is the third biggest value? (a) k (b) 5 (c) -2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 42 = -3*s + 5*s, 4*p + 3*s = -45. Let x be (-8504)\/(-40) + p\/15. What is the greatest common divisor of 53 and x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*o**6 + 3*o**6 + o**6 + o**6 - 8*o**2 wrt o.\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -18, -6\/11 in increasing order.\nAnswer: -18, -6\/11, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n + 523 = -420. Suppose -37*v + 2338 = -n*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1586.\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2482*g + 1 - 2436*g - 2446*g - 1 + 7449*g.\nAnswer: 85*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413a62 (base 12) to base 14.\nAnswer: 1c8a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/25)\/(1\/(-10)). Suppose -x*j - 2338 = -2*o, 0*j + 4682 = 4*o - 2*j. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 3*c**2 + 4*c + 3. Let s be n(4). Let h(i) = -i**2 + i + 1. Let p(g) = -g**3 - 10*g**2 - 4*g - 6. Let k(x) = s*h(x) - p(x). What is k(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/56*240\/20.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6239 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5 = 73. Suppose -2 = -14*l + o. Factor 0*p**2 - 7*p - 9*p - 5*p**l + 6*p.\nAnswer: -5*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1579 divided by -85\nAnswer: 1579\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 416 and 24.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 < 2.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 76 = -m - m, 3*h + 190 = 5*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172449 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153) + 0))*6)**2 + -5 - (3 + -2*1*sqrt(153))**2.\nAnswer: 36*sqrt(17) + 48946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (6 - -7) - (4 - -26 - 5).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-2)\/(-3 - 3)). Let d = -16 + 23. Let j be 36\/15*(d - 2). What is the greatest common divisor of x and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-30)*f)**(-2\/21) assuming f is positive.\nAnswer: f**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 0 + 4 - 4.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z + 4*o + 137 = 0, -5*o = 3*z - 60. Let i(h) = 53*h - 96. Let a be i(2). What is the greatest common factor of z and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-41 + 24)*-5*(-3)\/1890 + 1\/6. Let m = -2 - -2.3. Which is the third smallest value? (a) u (b) -4\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 6 = 2*s - 628, -s = -7*r - 282. Calculate the remainder when s is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37789.32 to the nearest one hundred.\nAnswer: -37800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/(-15))\/(-2)*(-11)\/(88\/(-20)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 330\/(-99)*(-45)\/(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2486597869 - -19.\nAnswer: -2486597850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19849.4 - 78829.6. Let r = k + 98660.9906. Let w = r - -18. What is w rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 8:11 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w. Let p(a) = 7*a - 22*a + 17*a. What is q(p(y))?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/2 (b) -89 (c) -2\/13 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 + 2*a - 1. Let i be g(1). Suppose 0 = -i*h + 216 + 54. Let p be ((-3)\/4)\/((-3)\/24). What is the greatest common factor of p and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 16*s + 0*s - 4*s + 7*s - 9*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 26*o**2 - 12*o**2 + 3*o - 17*o**2 + 9*o**2 + 30 + 10*o.\nAnswer: (o - 15)*(o - 1)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1330*j**2 + 1425*j**2 - 4148*j**2 - 1 + 1407*j**2.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 792 - 350. What is the highest common divisor of q and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.5 - -20.27. What is a rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*x - 18, 5*x = 3*q + q - 6. Suppose -5*k + 14 = -s + 4, -5*k = -3*s - 20. Solve 0 = -2*g + q*o - 5*o + 5, -2*g - k = 3*o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -147*j - 389. Calculate the remainder when 535 is divided by q(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-91240)\/(-19) + (-4 - 1850\/(-475))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**4\/12 - 3*g**3\/2 - 9*g**2\/2 - 3*g - 5. Let o(l) be the first derivative of q(l). Determine o(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 373\/14 - 17603\/672. Find the common denominator of h and -115\/996.\nAnswer: 7968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, x: 3}. What is prob of sequence xsxx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**3 - 105*n**2 + 20*n + 420 = 0.\nAnswer: -21, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9 - 2.4. Let m = 3.2 + 0.8. Sort m, c, -4 in increasing order.\nAnswer: -4, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11 - 9 = 0. Suppose b + 3*j = 12, 3*b - 11*j + 13*j = 15. Suppose -5*l + u + 2 = -u, b*u = 12. Solve -f = -l*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -78, -148, -218?\n\"Answer: -70*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owwoowwowww. Give prob of sequence woow.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from litytzzw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688834.\nAnswer: 2, 344417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 1. Let g(p) = p + 1. Let c(n) = -b(n) + 3*g(n). Let y be (-16)\/(-3) - (-4)\/6. Calculate the remainder when 29 is divided by c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26\/17? (a) 2\/355 (b) 6 (c) 1\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 - 117\/27. Let d(s) = s**2 - 6*s. Let y be d(5). Put y, q, 4 in descending order.\nAnswer: 4, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 1\/6*r**3 + 5*r + 0*r**2 + 0 - 1\/12*r**4. Let x(f) = -3*f**2 + 2. Give 2*g(k) - x(k).\nAnswer: k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:20 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*k - 76*k**2 + 95*k + 96*k + 92*k.\nAnswer: -76*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 bigger than 488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, r: 5}. Give prob of sequence rr.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12103 (base 12) in base 9?\nAnswer: -36343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r + 186. Let q = r + 87. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42353, -43481, -44605, -45725, -46841?\nAnswer: -47953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -11691\/4 (b) 1\/6 (c) -22 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 68. What is the remainder when 46 is divided by o(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.819 * -4\nAnswer: -3.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 134480.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, f: 8, c: 1}. Give prob of picking 3 c and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 982, -4 in increasing order.\nAnswer: -4, 0, 5, 982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472 and 2006?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2219 is divided by 129.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/23, 5, -0.66?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -60 - (1 + -21 + (-205 - -232))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 50. Suppose -16*s + a*s + 970 = 0. Does 30 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17052966 by -246.\nAnswer: -69321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15*u**2 + 8*u - 8. Let i(v) = 11*v**2 + 6*v - 6. Let g(h) = 4*i(h) - 3*y(h). Let l(a) = -271*a**2 - 5*a. What is l(g(n))?\nAnswer: -271*n**4 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + 440 - 406 - 2*t + (-2*t + 3*t + t)*(-4 + 5 + 0) - 1 + 1 + t - 8*t - 28*t + 9*t to the form l*t + k and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 62*108.6\nAnswer: 6733.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.6 * 21.25.\nAnswer: 607.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345667873.\nAnswer: 9437, 36629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 452*s**2 - 16181*s - 2893. Calculate u(-39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000080555828 rounded to 7 decimal places?\nAnswer: -0.0000806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, -8, 2, -3 in ascending order.\nAnswer: -8, -3, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11 - 7)*1142410\/92?\nAnswer: 2, 5, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttnhtttt. Give prob of sequence hnt.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/78 and -52\/2727?\nAnswer: 70902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2. Let u(k) be the first derivative of -3*k**2 + 4*k - 752. Determine x(u(n)).\nAnswer: 180*n**2 - 240*n + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*l - 80*l - 149 = -4*t + 84*l, -9*t + 4*l = 3 - 220 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11819\/((-6)\/(-3 - 3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*w - 4 = -w, 3*o + 3*w - 27 = 0. Suppose -o*u + 215 = -5*k, 3*k + k - 5*u = -174. Let h = -29 - k. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -277*k**8\/336 - 13*k**7\/210 - 3*k**5\/20 + k**4\/2 - 7*k**3\/3 + 8620*k**2. What is the third derivative of d(o) wrt o?\nAnswer: -16620*o**2 - 312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5450*n**3\/3 - 56*n**2\/3 - 5450*n\/3 + 56\/3 = 0. Calculate n.\nAnswer: -1, 28\/2725, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7124902 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4 + 4)*(-z**4 - 4*z**3 - 33*z**2 + 34*z**2 - 5*z**3).\nAnswer: -2*z**5 - 18*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 2*u**2 + 4*u**2)*((-3 + 1 + 0)*(-1 + 2*u + 1) - 8*u - 6*u + 5*u).\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.65 - 5. Let y = w - 0.15. What is the second smallest value in -2, -5, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*o - 106*o = 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) -0.2 (c) -1.26 (d) -2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 11*l + 27. Let j be m(11). Let s = 23 - j. Suppose y = -n, 0 = 4*y - 2*n - n - 21. Sort -3, s, y, -5.\nAnswer: -5, s, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 6\/7 (c) 13 (d) -1\/3 (e) 3 (f) -2\/355 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13335220 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -3*i**6\/40 + 49*i**5\/20 - 25*i**4\/2 + 14*i**3 + 3*i**2 - 5*i. Factor k(s).\nAnswer: -3*(s - 14)*(s - 2)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13.18975758 from -0.038.\nAnswer: -13.22775758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 equal to 0.06932849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/(-45))\/(-1 + 2). Which is the second smallest value? (a) -0.3 (b) -1 (c) r (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 89\/4 - (-2)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*b + 5*g, 0 = -5*b + 4*g - 0*g - 53. Suppose 5 = -6*p + 5*p. Let x = p - b. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 22*g + 18. Let b(x) = x**2 - 10*x - 15. Let f be b(9). Let i be d(f). Is i equal to -91\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 10. Let o = 6 + t. Let h = -5 - -5. Which is the nearest to 1\/2? (a) 0.4 (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -213*n**5\/5 - 85*n**4\/6 - 7*n**3\/6 + 335*n. What is the third derivative of w(g) wrt g?\nAnswer: -5112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 839*s - 824*s. Let r(z) = -z + 34. Give r(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -5, -13 in ascending order.\nAnswer: -13, -5, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (32\/12)\/(4\/198)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 18*v**2 - 5*v. Let q(w) = -w**3 - 28*w**2 - 7*w + 1. Let g(z) = -7*h(z) + 5*q(z). What is g(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631\/(-699) - (-80)\/42?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3310 (base 7) to base 9\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 - 9*k**2 + 33*k + 538. Let j be n(-10). Which is smaller: j or 1304?\nAnswer: 1304","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azatzzazazbayczt. What is prob of picking 1 c and 1 a?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11559227 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 776*z + 1 - 86*z - 1 + (-1 - 7 + 1)*(0*z - 2*z + 5*z) as p + t*z and give t.\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2160 = -16*u - 14*u. What is the lowest common multiple of 144 and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/2234096 and -11\/3472.\nAnswer: 484798832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(117) + (2 + sqrt(52) - (-5 + (1 + sqrt(13))**2 + sqrt(13) - sqrt(13))))*-5.\nAnswer: -30*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -347, 490\/121, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssq when three letters picked without replacement from tqsxsbaxsxax?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10\/80*44\/(-22)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(0*y + 2*y + 0*y) - 11*y + 9*y - 28 + 9.\nAnswer: 2*y - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -21*g**2 - 226*g + 4. Determine f(-11).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 28. Solve o*x - 2 + 0 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 4. Let z be o(-6). Let d(h) = -h**3 + 8*h**3 - 3*h**3 + 17 - 18 + h - h**2. What is the common denominator of d(z) and -44\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 - 2*u**3 - 2*u**3 + 0*u**3 + u**3 + u**3 + (-2*u + u + 2*u)*(2*u**2 + u**2 - u**2) + 19*u**3 + 234 - 234.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(640) + sqrt(640)*4))\/(-6*(sqrt(968) + 3*sqrt(968)) - sqrt(968)).\nAnswer: -4*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1554631 divided by 4.\nAnswer: -1554631\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3654*l**2 + 9598.\nAnswer: 7308*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 6*c**2 + 5*c - 12. Let l be v(-7). Find the second derivative of 5*a**2 + 10*a - 5*a**2 - 2*a + a**l wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -770*x**2 - 505*x + 130. Let k(b) = -35*b**2 - 23*b + 6. Let q(n) = -2*g(n) + 45*k(n). Factor q(d).\nAnswer: -5*(d + 1)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54*j**2*v**3 - 10*j**2*v + 23243*v**3 wrt j?\nAnswer: 108*j*v**3 - 20*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 - 21 - -24).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*(sqrt(684) + -1))**2*-2.\nAnswer: -49320 + 864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -2*c**3\/3 + 1. Let y(z) = 22*z**2. Give p(y(w)).\nAnswer: -968*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 + -4 + (0 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1526, -6082, -13666, -24278, -37918, -54586?\nAnswer: -74282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuvuvvvvouvuuuvvuuuv. Give prob of picking 4 u.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 306, 611, 916, 1221, 1526?\n\"Answer: 305*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 95*p + 106*p = 79, 29*d - 34*d - 3*p = 15 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -499336 + -15.8\nAnswer: -499351.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4116021*y - 5850202 wrt y.\nAnswer: 4116021","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*s + 42 = 0, -2*s - 62 = 8*q + 3*s. Let v = 0.4 + -0.2. Which is the closest to v? (a) 0 (b) q (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6792*c*g**2*k - 7105*c*k**2 - 2*g**3*k**2 - 2*g**3 wrt k?\nAnswer: -14210*c - 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v + 88*v + 291 + 3381 + 1800 for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32598604 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 37398995985\nAnswer: 37398995985.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 875083 and 8056.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.61 and 0.008?\nAnswer: 0.02888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14154 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e8 (base 15) to base 9.\nAnswer: -542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5 (b) 2.7 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 2 + -24 + -19.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42300 by 20.\nAnswer: -2115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8*(-8)\/10)\/((-161172)\/7260)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 4*p**2 + 6*p - 100. What is b(7)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 3. Let z(l) = -3*l + 7. Let a be z(3). What is the units digit of (-9)\/(-18)*(j - a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2204*d**2*s - 3600*s wrt d.\nAnswer: -4408*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 5:49 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 321981, 321986, 322005, 322044, 322109, 322206, 322341?\n\"Answer: k**3 + k**2 - 5*k + 321984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrmnrpnanrarr. What is prob of picking 1 r and 1 m?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**8\/560 - i**7\/280 - i**3\/2 - 2*i**2. Let r(v) be the first derivative of l(v). Factor r(n).\nAnswer: -3*n**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1720702124801 + -38.\nAnswer: -1720702124839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, h: 2, v: 2, y: 1, u: 8}. Give prob of sequence uwu.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002170540655 rounded to five decimal places?\nAnswer: -0.00217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 62?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 582001 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/1*(-4)\/8*-2. Let t be ((-16)\/(-7))\/(14\/98). Which is the third smallest value? (a) 0.1 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -8, -2\/13, 2.1, -0.8?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -85*f**2. Let t(p) = -p**2. Let d(n) = -20*t(n) + u(n). Let m(j) = -3*j. What is d(m(b))?\nAnswer: -585*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*q + 1485 = 0, 114 = 2*f - 5*q + 723. Let l = 925 + f. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410182.\nAnswer: 2, 23, 37, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 60, 88, 116, 144, 172?\n\"Answer: 28*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 49, 110, 195, 304, 437?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2664 and 9472?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*r + 5. Let a = 7 - r. Suppose a*b - 6 = 4*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-12) + (-30)\/(-45). Let j(f) be the second derivative of 11*f**4\/4 - f**2\/2 + f. What is the units digit of j(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, and 1 w when three letters picked without replacement from xyxaqweaqeqq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*m + 200 + 129 - 74 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/48 and 71\/17298.\nAnswer: 138384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 12*s = 72. Solve 2*w + s = g, -8*g - 4*w - 15 = -7*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**3 + 21*d**2 + 14*d - 7. Calculate q(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/7 - 29*o**4\/7 - 19*o**3\/7 + 521*o**2\/7 + 870*o\/7 = 0. Calculate o.\nAnswer: -3, -2, 0, 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z + z)*(2 + 2 - 1) - 49*z - 71 + 71.\nAnswer: -43*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-6) + -1)\/((-9401)\/(-14)). Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 22*w + 9*w - 22 = -6*w, -w - 1 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.19 - -0.01. Let k = -0.4 + 0.4. Let v = -1.8 + 1.9. What is the closest to k in n, 3\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 + 9*l - 2. Let j be w(-6). What is the highest common divisor of 78 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.35 + -0.05. Let o = 2.3 - x. Which is smaller: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25*((-16)\/10 - -2). Let u(v) = v**2 - 9*v + 6. Let c(t) = 2*t**2 - 18*t + 18. Let l(o) = 2*c(o) - 5*u(o). What is l(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooroooro.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i. Let r(m) = -m**2 - 5*m. Let b(k) = -5*k + k**2 - 2*k - 2*k**2. Suppose 55 = 2*n + 9*n. Let u(c) = n*b(c) - 7*r(c). What is u(x(o))?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/3 + 2\/3. Which is the nearest to v? (a) 3\/5 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 94048*n**2 - 752612*n - 658560.\nAnswer: 4*(n - 23520)*(n + 1)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2816 and 44672.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020211210 (base 4) in base 3?\nAnswer: 120002211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 5*k**2 + 4*k + 24. Let q be p(-5). Suppose 25 = 3*i - q*g, 4*i + 5 = -5*g - 3. What is the nearest to -2 in 2\/5, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129765 and 37558.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17774 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915 + 2271 + 1049 = 462*j + 539 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-10)*(-200)\/840?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-14)*(-6)\/(6\/(-1))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/504)\/((-8)\/(160\/2)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 217915056 and 328468?\nAnswer: 1525405392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -36.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*j = 12, 5*f + 164*j - 160*j = -16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101011 - 11001100010011001111?\nAnswer: -11001100010101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9 = 13, 4*x + 724 = 3*y. What is the remainder when y is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1212*w + 5*w**2 - 867*w - 595*w as r + l*w + k*w**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 + 4.9. Let t = r - 5.9. What is the third biggest value in 0.3, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12547 divided by 709?\nAnswer: -12547\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 - 2)*(2 + 7 - 3)*((-1 - 2 + 4)*(-3*w + 2*w - w) + 113 - 64*w - 113) in the form k + c*w and give c.\nAnswer: 2376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*p**3 + 65*p**2 + 28*p**2 - 3*p**2 wrt p?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 279 and 186.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 6*u**2 + 59*u - 35. Determine i(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1676 (b) 1533 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(0\/(-2) - -2). Factor -h + 4*h**a + h - 3*h - h**2 + 1 - h**3.\nAnswer: -(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 945.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide (92\/(-8))\/((-12)\/4 - (-574)\/192)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 5*f**3 + 95 - f**3 - 73.\nAnswer: 4*f**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2229*m + 38. Let a(l) = -2*l**2. What is z(a(q))?\nAnswer: -4458*q**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1)*b)\/(((b\/b**(-2))\/b)\/b))\/((b**(-4)\/b)\/b**(-2\/15)) assuming b is positive.\nAnswer: b**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -3, 23 in ascending order.\nAnswer: -3, -1, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*z = 17 + 2, -5*z + 76 = -4*y. Let c(x) = -x - 11. Let b be c(-4). Let r = b - y. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -588, -586, -584, -582?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10104 is divided by 335.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 867, 1725, 2581, 3435?\n\"Answer: -p**2 + 861*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160*f - 99*f**5 + 63*f - 96*f**5 wrt f.\nAnswer: -3900*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34 (b) -193 (c) -2\/9 (d) -1\/6 (e) 0.1 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:52 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75668 is divided by 571.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -118421, -116779, -115137, -113495, -111853, -110211?\n\"Answer: 1642*v - 120063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144347098.\nAnswer: 2, 7, 31, 349, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 3*w**2 - 361794*w**3 + 362177*w**3.\nAnswer: 383*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 18. Solve 2*d = 2 + o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39855191747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26697 + 1997. What is h rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**5\/5 - b**4\/6 - b**3\/2 + 3*b**2\/2 + 34*b. Let h(m) = -17*m**3 + 9*m**2 + 13*m - 13. Calculate 6*h(f) + 26*j(f).\nAnswer: 2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -26, -33, -50?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 790410?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**5)\/j**(-13))\/(j**(-1)*j**(-12)) assuming j is positive.\nAnswer: j**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 120556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**2*v**1*(v**(-1\/4))**24)\/((v**(-1\/10)\/v*v**(-4\/3))\/(v**(3\/2)\/(v**(3\/7)\/v))) assuming v is positive.\nAnswer: v**(263\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -23 - -30) + (-1 - (4 + 11)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + -7.92. Suppose -7*p + 44 = 2. Let y be -3*(1 + (-7)\/p). Which is the closest to y? (a) 0 (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 20804, -2\/11, -2, 1, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*v**3 + 154*v**4 + 31*v**3 + 4852*v - 4850*v to s*v**2 + j + z*v**3 + i*v + p*v**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-216))\/(280\/(-126))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + 6*z**2 - 4*z - 7. Let j(p) = -6*p**3 + 17*p**2 - 12*p - 21. Calculate -4*j(w) + 11*s(w).\nAnswer: 2*w**3 - 2*w**2 + 4*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {p: 1, r: 2, v: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 6*g**2 + 6*g - 2. Suppose 2*t + t = 218 - 203. What is b(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 + 21*q**2 - 82 - 31 - 30 - 30.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4) + (-140)\/(-144).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17, -23, -39, -71, -125, -207, -323?\n\"Answer: -w**3 + w**2 - 2*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, f: 4, o: 7}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -416452764 by 19831084.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -804591 and 0.3.\nAnswer: -241377.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 332 - 325. What is the nearest to c in 1, 20, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + u. Let h(v) = 39*v**4 - 3*v**2 + 38*v. Let d(l) = h(l) - 3*x(l). Find the second derivative of d(q) wrt q.\nAnswer: 468*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 4*p - 42. Suppose -2*d + 8 = 2*o - p, -61 = -3*o + 4*d. Solve -i + 3*f + 2*f - o = 0, 3*i + 2*f + 11 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 - -83. Suppose l*a + 4 = -4*n - 19, -3*a - 9 = 2*n. What is the common denominator of 7\/2 and n\/36 - (-107)\/(-21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99038 less than 184.05901?\nAnswer: 99222.05901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, g: 1, b: 1, r: 1}. What is prob of sequence bw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.7. What is the second biggest value in 2\/17, f, 0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from hyhyhuhnp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4115142 (base 6) to base 5\nAnswer: -22244323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 7. Let n be a(-10). Solve n*z = -2 - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*c + 12, 5*c + 5*h - 2*h + 5 = 0. Let v(y) = 3*y**2 - 48*y**3 - c*y**2 + y**2 - 1. Is v(-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -24*y**4 + 147*y**3 + 3750*y**2 - 8391*y + 990 = 0.\nAnswer: -11, 1\/8, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/40 and 107\/4864800.\nAnswer: 4864800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41775670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 7*m + 4. Let o be i(-8). Suppose 4*u - o = -t, 5*u + 0*t - 94 = -t. Which is smaller: 19 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 332376 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - o - 5. Let m = -2 - 2. Is u(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1704)\/15 - 4\/10. Let i be 4\/(-10) + t\/(-10). What is the greatest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 416 and 1612?\nAnswer: 12896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g - 49754. Let w(v) = -80*v**2. Determine x(w(j)).\nAnswer: 320*j**2 - 49754","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(3) + sqrt(14))*6*2)\/(sqrt(162) - (-2*sqrt(162)*-6 + sqrt(162))).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21825337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i + 0*i - 2*i. Let n be (-4)\/(-8)*-1*4. Let u(c) = 8*c + 5. Let h(r) = -4*r - 3. Let l(v) = -7*h(v) - 4*u(v). Give n*l(j) - 5*f(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1320*s**2 - 190*s - 5 wrt s.\nAnswer: -2640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 - a**2 + 2*a + 2. Let b(o) = -821*o**3 - 157*o**2 + 14*o + 10. Let h(y) = b(y) - 5*c(y). Find the third derivative of h(n) wrt n.\nAnswer: -4866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1440 and 38880?\nAnswer: 38880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2\/9*w + 22\/9*w**3 - 2\/9 + 2*w**2 + 8\/9*w**4 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 123494 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 f when three letters picked without replacement from wwmmff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 + 5)\/(1\/3). Let m = d - -11. Suppose -24 = -z + 5*v, -2*v = -3*v - 4. Solve 3*q - m = z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1478681 or -1478668?\nAnswer: -1478681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23480.\nAnswer: 2, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -10.5 (c) -8 (d) 0.3 (e) -3\/7 (f) -15 (g) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = -6. Let r = n + -4. Solve -4*o + c = 15, r*o = -5*c + 2 + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - -2. Suppose -u = -21 + o. Factor -2\/11*j**2 + 0 - 2\/11*j**3 + 2\/11*j + 2\/11*j**u.\nAnswer: 2*j*(j - 1)**2*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6) + sqrt(60)\/(sqrt(10)*1) + sqrt(6)) + ((-3*sqrt(88) + sqrt(88))\/sqrt(11))**2.\nAnswer: sqrt(2)\/3 + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 6) to base 16.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35605421 to the nearest integer?\nAnswer: 5967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 19 = -12 + 35 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1446 divided by -3.\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*(-8)\/(-4)*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 7*z**2 + 11*z - 90. Is 44 a factor of p(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.584 + 8.584. Which is the nearest to -202? (a) 0.5 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-1)\/7)\/((-201)\/3752)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -3*s**5\/20 - 2*s**4\/3 + s**3\/3 - 9*s**2\/2 + 12*s. Is l(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1785710.3 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7411865141 to the power of 1\/2, to the nearest integer?\nAnswer: 86092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1105\/(-156) + 5 + 0 + 2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 820532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 430 (b) 3\/4 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 12*i - 7. Suppose -4*w + 2*w + u = 12, -5*u + 25 = -3*w. Let a be 13 + 0*w\/20. What is j(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 16*z**3 - 6*z**2 + z - 9. Let b(y) = 3*y**2 + 2*y**2 - 150 - 200*y - 208*y - 15*y**3 + 158 + 407*y. Give -6*b(q) - 5*v(q).\nAnswer: 10*q**3 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 215*j - 4. Let z be (-1)\/(2\/6) + 7*1. Let q be z - 4\/((-12)\/(-9)). What are the prime factors of u(q)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p + 0*p - p**3 + 4 + 4*p + 0*p + 3*p**2. Let u(t) be the first derivative of t**3\/3 - t**2 + t - 5. Let h be u(3). Give j(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -454*r + 757*r + 239*r + 2207*r as v*r + m and give v.\nAnswer: 2749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5*(-10)\/(-6)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*1)\/((-192)\/(-288)). Let j(s) = 21*s**2 + 3. Let p(l) = -22*l**2 - 4. What is i*p(y) + 4*j(y)?\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*h - n, 3*n + 6 = 28*h - 25*h. Does 10 divide h\/(-50) + (-4806)\/(-60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*u - 7*u - 35, 3*p - 3*u = 27. Suppose p*j = 5*s + 21200, 4*j - 16996 = s - 6*s. Suppose 0 = -30*l + 26*l + j. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10336.000001102 + 10336. Round p to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-35)\/(-60060)*52)\/1)\/((-4)\/30)?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-1)\/14)*-2. Let v be (8 - 0) + (16 - 14) + -3. Calculate the highest common divisor of t and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136890 by -3510.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4995 is divided by 179.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 973300663 to the power of 1\/3, to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -1b?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -0.4, -10\/3, 0.4, -0.05?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5836185143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10012 (base 5) in base 10?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -26935520 to the nearest 100000.\nAnswer: -26900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o - 8. Suppose 0*k - 2*b = 2*k + 6, -5*k - b + 5 = 0. Let n be y(k). Solve -n*v + 8 = -6*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7725 and 918999475.\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmtq when four letters picked without replacement from {q: 2, m: 2, t: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - 2.6. Is k <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2. Let u(j) = -35*j**2 + 5*j + 5. Let a(x) = 17*x**2 - 2*x - 2. Let s(p) = -5*a(p) - 2*u(p). What is s(k(v))?\nAnswer: -15*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*3\/((-3)\/(-1)). Suppose 0 = 5*r - u*r. Suppose r*a = a. Solve 2*i + i = a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-4 - -6) + (0 - 1) + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -16. Let p = q + 6. Let h be (6\/8)\/(4\/96). Calculate the highest common factor of p and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1461*b + 62866. What is j(-43)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {z: 7, l: 7, s: 1, d: 2}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1296)\/(-135))\/24*10\/(-86)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 + -106. Let k be m*39\/(-12) - (-12)\/16. Solve 5*z + d - 3*d = -k, 5*z + 10 = -2*d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 551930276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1770 and 9504.\nAnswer: 2803680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 5, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(245) - sqrt(80)*1.\nAnswer: -25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 735 = 2*b. Let r(p) = 10 + 3*p**3 - 2*p**3 - 110*p**2 + b*p**2 - 8*p. Is 17 a factor of r(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/21 - 236*u\/7 + 20886\/7 = 0.\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -255?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 a when four letters picked without replacement from mmmmmaquuqmmmaqmmam?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 2*l = -8*s + 4, -3*s + 14 = -4*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -1712759654.\nAnswer: -1712759653.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 9 = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1065*n - 1064*n + 92. Let v = 172 + n. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**5 + 8043*m**4 + 111906*m**3 - 289548*m**2 - 4032504*m = 0.\nAnswer: -2667, -14, -6, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(28))\/(4*sqrt(324)).\nAnswer: sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 206 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10157136372.60001186 + 10157137821.6. Let r = s - 1449. What is r rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 100698579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1938 divided by 1.\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.029*-83.39.\nAnswer: 2.41831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 50, 40, 14, -34?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -7*x**3 + 963421*x**2 - 33149080096*x - 14206925568 = 0?\nAnswer: -3\/7, 68816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -553*k**3*z**2 - 32*k**3*z + k**2*z**2 + 366307*k**2*z + 2*k*z**2 - 2*z**2 wrt k.\nAnswer: -3318*z**2 - 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -45645 divided by -15215\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-1 + 4 - 2)*(-332 - 91 - 189)*(4*t**4 - 3*t**4 - t**3 + 2*t**4).\nAnswer: 3672*t**4 - 1224*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 103, 123, 143?\n\"Answer: 20*i + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*sqrt(64)\/(sqrt(2)*-1 + sqrt(2) - sqrt(2)))**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -1223?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 6*t**2 - t - 2. Let r be c(5). Let g be (-208)\/r*4\/(-2). Let w = -11 - g. Solve -12 = -w*n + 6*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23 - 22500?\nAnswer: -224bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*v + 360*v + 467*v - 16*v.\nAnswer: 1117*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, c: 3, i: 1, a: 1}. What is prob of sequence icd?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -5, -23011, 2, 4, 5, 1.\nAnswer: -23011, -24, -5, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 55. Let d = -9\/16 - -67\/176. Which is the third smallest value? (a) v (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 20 = 4*s, 6*x + 2362 = -5*s + 2337 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 u, and 1 m when three letters picked without replacement from pnpmnmunmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*x**2 + 132*x**2 - 71*x**2 - 2.\nAnswer: -7*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 110*y - 1. List the prime factors of s(1).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(sqrt(2352) + -1)*-1*-4 + -5 + 4)**2.\nAnswer: -1016571 + 26208*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s - 13*s = -27*s - 51. Sort -9, 47, s in decreasing order.\nAnswer: 47, s, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 58045 - 58045 + 3*f**2 - f. Give s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 22*q + 43. Let g be n(-24). Let o be ((-6)\/g)\/((-7)\/(70\/(-4))). Let 5*y + 3 + o*y**2 + 5*y - 4*y = 0. Calculate y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1245 + -979. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/63)\/((-18)\/108). Which is greater: -7\/12 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31696.\nAnswer: 2, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 7. Let d be 36\/(-8) + (-2)\/4. Let p be i(d). Let r(o) = o**3 + 2*o**2 + 2*o - 2. Determine r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 7:20 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 173. Suppose -o + 1474 = 2*b. Suppose 0 = 5*s + 3*r - b, -515 = -0*s - 4*s + 3*r. List the prime factors of s.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppppeeppee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m**2 + 2034*m - 22464. What is w(11)?\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-66) + (-10)\/(-11)*(95 - 9). Which is greater: 1020\/13 or x?\nAnswer: 1020\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s - 1. Let h be v(1). Suppose 0 = h*w - 0*w - 18. Calculate the highest common factor of w and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (1\/(-1) - 0). Let d(i) = q - 1 + 12*i. Let s(x) = -7*x**2 - 8*x - 20. Let z(g) = 5*g**2 + 6*g + 15. Let r(w) = 3*s(w) + 4*z(w). Give r(d(n)).\nAnswer: -144*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**4\/4 + h**3 + 3*h - 4. Let a(g) = -g**2 + 4*g + 3. Let s(v) = -v - 1. Let f(i) = a(i) + 4*s(i). Determine -3*f(b) - j(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + 57. Let d be z(-6). Suppose v = 839 - d. Is 29 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2900349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 * 196540\nAnswer: -49135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19577243*q**3 - 19577241*q**3 + 29*q - 29*q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2935 - 14278 = -1400*l - 1397 + 10784 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29293134 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/14 - (-1181)\/7. Suppose 0*d = -d + 4. Suppose -d*g - w = -214, -g + 5*w - f = -4*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 3 - (16 - (-2 + 10) - 13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3173*y = 2*m + 3176*y - 92, y = 5*m + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2221, -8973, -20269, -36109, -56493, -81421, -110893?\nAnswer: -144909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**3 - 14*a**2 - 1120*a + 11057. Give t(10).\nAnswer: 2457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzziykyzyykzzyvkzzy. Give prob of picking 1 z and 1 v.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 4:00 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.91, 1, -0.04, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 5 (c) 0 (d) 0.2 (e) 12 (f) 516\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-342)\/(-285))\/(189\/126*(-2)\/(-310)*-2).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*m = -24, f - 9 = -m + 3*m. Let i be f\/6 + 2 + -4. What is the nearest to 1 in 0.1, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - m**2)*(m + 3*m - 3*m) + (2*m**2 - 5*m**2 + m**2)*(m + 3*m - 2*m) to the form b + u*m**2 + i*m + t*m**3 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-46 + 35 + 45).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 10475*l - 31411. What is g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49672000 rounded to the nearest one hundred thousand?\nAnswer: 49700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 422156*w**2. Let a(n) = -2*n + 83. Calculate a(z(x)).\nAnswer: -844312*x**2 + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11454 + 3.\nAnswer: -11451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**5 + g**5 + 4*g**5 + (0*g + 0*g + 2*g**2)*(87*g**3 - 127*g**3 - 167*g**3) + 3*g**5 - 3*g**5 - 2*g**5 - 3*g**5 + 2*g**5 + 3*g**5.\nAnswer: -413*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1357 or -2935?\nAnswer: -1357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-900)\/84) + 47\/(-7) + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -4, 5, 135, -91, -29 in decreasing order.\nAnswer: 135, 5, 0, -1, -4, -29, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2195 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p\/(p\/(p*p\/p**(-7)*p))*p))*p*p**9)**(-9\/4))**15)**(2\/39) assuming p is positive.\nAnswer: p**(-945\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**8\/1680 + p**5\/40 - p**3\/6 - 2*p. Let k(f) be the second derivative of j(f). Find the second derivative of k(b) wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 3*v - 3. Let f be x(-3). Suppose -2*j + 5*j = f. Solve -4*r - 27 = 3*m, -j*m + 4*r - 5*r = 28 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21436 (base 9) to base 3.\nAnswer: 201111020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-241*g - 231*g + 455*g)*(g**4 + 0*g + g**3 + 0*g).\nAnswer: -17*g**5 - 17*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00083747 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 2 (c) -1\/36 (d) -1 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + (0 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q**3 + 4*q**2 + q + 35. Let n(m) = -2*m**3 + 2*m**2 + m + 19. Determine 5*n(z) - 3*y(z).\nAnswer: 2*z**3 - 2*z**2 + 2*z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3936\/656*2\/516\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615*b + 2473*b + 2805*b + 815*b.\nAnswer: 5478*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48255947\/779 + -61946. Is z > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13063 + 13063.00006319. What is y rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -145, -351, -665, -1099, -1665?\nAnswer: -2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/300 and -179\/139560.\nAnswer: 697800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23978 - -14.\nAnswer: 23992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**2 + 2*a**3 - 2 - 2 + a**2 + 3*a**2 to j*a**2 + b*a**3 + x + s*a and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/7 - -58\/35. Suppose 3*l - 4*n = -15, -6 = -3*l + 6*l - n. Is l less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 356 = -80*j. Let d(k) = k - 2. Let o be (-18 + 3)*(-2)\/3. Let w(m) = -3*m + 4. Calculate j*w(b) + o*d(b).\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 57036.\nAnswer: -1\/19012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)\/z)**(-2\/7)*z\/(z*z**(-1))*z**(-4) assuming z is positive.\nAnswer: z**(-61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -305*b - 626. Calculate r(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15200493 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, s: 1, r: 1, c: 1, y: 5}. What is prob of sequence ay?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 12 in descending order.\nAnswer: 12, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250, 978, 2172, 3814, 5886, 8370, 11248, 14502?\nAnswer: 18114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(242) + (sqrt(242) + 0)**2 + 0 + 2 - ((4 + 0 + sqrt(242))*-2)**2) + -5).\nAnswer: -1586 - 682*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*f**3*p - 2*f**3 - 89*f**2 + f*p**4 - p**4 wrt p?\nAnswer: -30*f**3 + 4*f*p**3 - 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 19*m - 55. Let q(k) = 46*k**3 - k**2 + k. Let j be q(1). Let o = j - m. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 20366*b - 2*b**2 + 20340*b - 159*b**3.\nAnswer: -159*b**3 - b**2 - 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002639603 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, 9, -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.038291793 times -8\nAnswer: -0.306334344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 11291.\nAnswer: 124201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2133210 (base 4) in base 14?\nAnswer: -3a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 5*g**2 + 2*g + 6. Calculate p(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(80) + -1 - 6*(sqrt(80) + 1 - sqrt(80)))**2.\nAnswer: 224*sqrt(5) + 1329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by 4916877.\nAnswer: -18\/1638959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 148383 and -6.451.\nAnswer: -957218.733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(17))**2*-3 + -3)*-3.\nAnswer: -36*sqrt(17) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 5*b - 2. Let h be m(3). Suppose -4*q = 4*o - h, -4 = -q + 5*o - 6. Suppose -q*t = -3*t - 10. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*16\/(-16)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**7\/840 - o**6\/360 - o**5\/120 + o**4\/24 - 5*o**3\/3 - 5. Let u(y) be the third derivative of a(y). Calculate u(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/6 + (-15103)\/(-22) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**3\/6 + 2*w. Let y be s(5). Suppose 0 = -5*t + 4*t. Solve -3*d + 21 = 5*u, -19 = -t*u - 3*u - y*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 5*f - 4. Let g be c(-3). Suppose 3*n - 2 = 2*y + 4, -g*n = 4*y + 12. Suppose 3*s = 3*a, s = 3*s - 4*a - 2. Sort s, 3, y.\nAnswer: y, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*(10*2)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 9. Suppose -o*h + 5*j + 72 = -h, h - j = 22. Let r be (-113 - 8)\/11*(2 + -21). Calculate the greatest common factor of r and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3 - 28. Let z = -1.9 + 2. Let a be (3\/(-2))\/((-2)\/(-4)). Sort a, w, z in descending order.\nAnswer: z, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 876 (b) 0.3 (c) 2 (d) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26174 + 20385 = -1252*u + 7747 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - b + 146 = 0, 0*b + 112 = 4*k - 4*b. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1756751 to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2784 = 55*v - 51*v. List the prime factors of v.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/((-375)\/10))\/((-2)\/10). Solve -4*t + p - 19 = 0, -2*p - 13 = k*t + p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 260345280.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/39)\/(13*(-3)\/18)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o - 23. Let l = -40 + 45. Let n be d(l). Suppose 0 = -7*s - 33 - n. Let w(g) = 3*g + 5. What is w(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101 - -3) + (1097 - 1045)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10000 - -473107?\nAnswer: 503107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 - 1129\/13. Let j = 159\/65 + o. Suppose 0 = 2*h - 3 - 1. Which is bigger: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 6*k**2 + 7*k - 2. Let f be m(5). Find the third derivative of f*y**4 + 4 + 1 - 5 + 4*y**2 wrt y.\nAnswer: 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 1 d when three letters picked without replacement from xdswkkx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 228\/19*2*4\/6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-22)\/10)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - j - 6, 2*z - 5*j - 2 = 21 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4112 and 237468?\nAnswer: 949872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d)**25*(d\/(d*d**(2\/9)))\/(d*d**(11\/5)*d))**26 assuming d is positive.\nAnswer: d**(53326\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 2*u**2 + 2*u - 1. Let j be m(1). Let i(r) = r**2 + 4*r - 3. Let o be i(-5). Solve o*v = -j*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 138*f**2 - 8*f + 9. Let x be y(8). Let k = -175503\/20 + x. What is the common denominator of -31\/60 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = -4*h. Suppose -4*b + 5*q + 0*q = -57, -2*q = h*b - 14. Let m = -6 + b. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312273 is divided by 469.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(((-20)\/(-120))\/(2\/18)). Let a(c) = -223*c**2 + 111*c**2 + 124*c**v. Let o(m) = 2*m**2. What is a(o(n))?\nAnswer: 48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2383.4 to the nearest ten.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8503 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 20 - 16)*(-23*i - 55*i - 10*i) + (0 - 2 + 1)*(i + 0 + 0) + i - 4*i + i - 5*i + 2*i + i + 2*i - i + 4*i as n + g*i and give g.\nAnswer: 2640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 7. Let q be h(-7). Let z be 9\/6*(2 - 0). Solve 3*b + m + 2*m + 18 = 0, q = b - z*m - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -51*o**2. Let p(m) = -m. What is p(k(c))?\nAnswer: 51*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -3) + (37 - (11 + -15) - 7).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -366*t - 19. What is a(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149912584?\nAnswer: 2, 569, 252617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 344448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -90 + 3?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 2}. Give prob of sequence ss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 8*v**2 - 7*v + 8. Let q be m(-8). Let z = -60 + q. Solve -i = -4*o + z, -3*o - 3*i = -i + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3322646 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -9*j**2\/2 - 6*j - 456. Let o(p) = -5*p - 3. What is -9*o(t) + 4*q(t)?\nAnswer: 9*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2884436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*w**3 - 15*w**3 - 4*w + 30*w**3 + (3*w + 0*w - w)*(-149*w**2 + 108*w**2 - 154*w**2) as r*w**2 + p*w**3 + z*w + n and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:53 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17\/66 + 61\/66. Which is greater: c or -0.503?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1170276810?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-4)\/z)\/z*z*z**(2\/5))\/((z*z\/z**(1\/28))\/z*z\/(z*((z\/(z\/(z\/z**(-13)))*z)\/z)\/z*z*z)) assuming z is positive.\nAnswer: z**(1601\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -23650\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**11*(n**(-2\/3))**(-4\/3) assuming n is positive.\nAnswer: n**(-83\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/2 of a kilometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 41 + 51861*g + 81529*g + 327.\nAnswer: 133390*g + 275","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-7))\/((-17)\/1632*-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39423.3 rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(30)\/sqrt(6) + -3.\nAnswer: -3 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/2 + 7999*j**2\/3 - 37300*j\/3 + 7104 = 0. Calculate j.\nAnswer: 2\/3, 4, 5328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 15)\/((-22)\/(110\/10) - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 348 + -347.907. Which is the closest to 0? (a) -0.2 (b) i (c) -2 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94921 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44662*a + 44555*a + 4494. Let j = 46 + 36. Calculate the remainder when j is divided by a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:24 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*u**6 + 18*u**4 + 4*u**3 - 226360426*u**2.\nAnswer: -2160*u**3 + 432*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or -0.5?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1950 and 2600.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 44, 101, 3, 5, 10 in ascending order.\nAnswer: 0, 3, 5, 10, 44, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1 - (5 - 6). What is the second derivative of 3*u**4 - u + 0*u + g*u wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**3\/6 + 15*n**2\/2 - 3*n. What is the tens digit of z(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 1737 = 21913. What are the prime factors of f?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28168856*w**4 + 870*w + 9589?\nAnswer: -338026272*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 5) in base 4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 61*p + 9. Let g(u) = 1340*u + 201. Calculate 67*a(j) - 3*g(j).\nAnswer: 67*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2230 - 22?\nAnswer: -2252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, w: 1}. What is prob of picking 1 w and 3 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.44372 rounded to one dp?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = j. Suppose -p + 3*s + 7 = 23, -11 = p - 2*s. Let c = j + p. Solve 2*u - 4*n - 26 = -0*n, c*u - 35 = 5*n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36294 is divided by 907.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 34 = 11. Solve -10 - 10 = 3*q - 4*a, v*q = 4*a - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 0.04, -4, -5, 0.8 in ascending order.\nAnswer: -5, -4, -3\/7, 0.04, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 1102 (b) 2\/5 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2. Let k(s) = 168065*s**2 - 73*s + 10. Calculate k(z(p)).\nAnswer: 672260*p**4 + 146*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-306)\/360 + -4)*(-4 + (-355)\/(-15))?\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/64648 and 61\/48.\nAnswer: 387888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 52\/5*c**2 + 7\/5*c**4 - 37\/5*c**3 - 12\/5*c.\nAnswer: c*(c - 3)*(c - 2)*(7*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4820317544 to the nearest integer?\nAnswer: 69429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 20 = -g, -2*g + 0*g + 20 = -5*y. Suppose g = 5*t - t + 24. Let s(z) = -z**2 - 5*z - 5*z + 2*z - 9 - z. What is s(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*c**2 - 6*c - 14*c**2 + 8*c to n*c**2 + k*c + o and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stztzjttzsjtjbtj. What is prob of picking 2 z and 1 t?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/(1235\/(-76)*6\/5) and -107\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 143 = -2*l - m, l - 79 = m. What is the remainder when l is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -63, -161, -313, -525, -803, -1153?\nAnswer: -1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 17425255?\nAnswer: 17425260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5120 (base 6) to base 5.\nAnswer: 14003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111357 divided by -555?\nAnswer: 37119\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 351414 to the power of 1\/2, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c - 662. Let s(q) = -16*q - 1160. Let r(p) = -11*s(p) + 19*y(p). Calculate r(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(3 - 2 + 1)*(11 - 23 + 18)*(10*c - 14*c + 1 - 18*c).\nAnswer: 264*c - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34632)\/13468)\/((-15)\/(-7) + -2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 27 = -0*q + 5*c, 0 = 4*q + 3*c + 7. Suppose 0 = -q*r - 3*r + 405. Calculate the highest common factor of 36 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3478, 5, -2, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136647 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94346526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25571 divided by -7.\nAnswer: 3653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 9*f + 10 = 0, 161*f = 5*g + 163*f + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*p - 3)*(-186*p - 188*p + 373*p + 39) to o + v*p**2 + i*p and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.072 - 29827997\nAnswer: -29827994.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -121 + 13. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569278 is divided by 3028.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-26400)*-33*-75\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**9)\/i**(3\/8)*i**4*i**(-6))**(-1\/70) assuming i is positive.\nAnswer: i**(83\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/36*5\/((-20)\/8)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + 2. Let h be j(-4). Calculate the highest common divisor of h and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049852441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppippippppppipp. What is prob of picking 1 p and 2 i?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*2*2\/4. Suppose -3*z = y, -4*g + 0*g = -z. Solve -5*r - 5 = 4*c, g = 2*r + 6 + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 11*v**2 - 5*v - 2. Let l be m(4). What is the greatest common factor of l and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 7:18 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 185742432 a multiple of 1150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, r: 8, z: 7}. What is prob of picking 1 z and 1 r?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(51\/(-459)). What is the highest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 162 = -40. Suppose -u - 2*u = -4*o - s, -4*u = 5*o - 40. Solve -2*c - u = -5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025844399 rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1456.178cm?\nAnswer: 0.01456178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -2, 1\/4, -5\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89873\/15521705 + 23\/5155. Is i at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**3\/9 + 14072*j**2\/9 - 24766714*j\/9 + 49477156\/9 = 0.\nAnswer: 2, 3517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 9\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 2*o**2 + 2*o**2 + (-9*o + 5*o - 6*o)*(-11*o + 447 - 447))*(-1 + 2 + 0).\nAnswer: 111*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -24*z - 6. Let j(m) = 5*m + 1. Determine -4*a(u) - 22*j(u).\nAnswer: -14*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 + -65. Which is bigger: 29\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -1c?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -53, -59, -65?\n\"Answer: -6*s - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l**(-1\/4)\/l)\/l)*(l*l*l**(-5)*l)\/l)\/(l**(-2))**(1\/36) assuming l is positive.\nAnswer: l**(-25\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 65. Let z be (7\/(14\/20))\/((-10)\/(-65)). Suppose 16*p = 3*p + z. Solve 2*y + p*q + 21 = 0, 0*y + y - o = 4*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.267, -25, 3\/43 in increasing order.\nAnswer: -25, -0.267, 3\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (6 - 11) + 12 + -9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71610 divided by -11935?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.4? (a) 1\/3 (b) 4\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-6)\/9*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.19 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1669527, 3339054, 5008571, 6678072, 8347551?\nAnswer: 10017002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/993 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*f + 7 = 0, 0*f = -4*r + f + 3. Let g be 40\/63 - 4\/(-18). Solve -2\/7*d**3 - g*d**r - 2\/7 - 6\/7*d = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 43, 42, 19, -32, -117?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4553609 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -15*y**3 - y**2 - y - 1. Let g = 75 - 67. Let i = 108 + -109. Let m be (i\/(-2))\/((-4)\/g). Give d(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6587 take away 2?\nAnswer: 6585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*78504673.\nAnswer: -392523365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3382995700 to the nearest one million.\nAnswer: 3383000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**3 - 17*y**2 + 6*y**2 - 6 + 11*y**2 to the form v + a*y**3 + u*y + j*y**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let i = 33 + -31. Let g(k) be the second derivative of 2*k + 0 + 0*k**i + 1\/6*k**3. Determine u(g(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 27, 3 in descending order.\nAnswer: 27, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = 0, -24 = h - n + 6*n. Let a be (h - 0 - (-9)\/6)*2. Sort -2, 4, a, 5.\nAnswer: a, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:05 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = 3*k - f, 5*f + 446 = 5*k + 136. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, y: 7}. What is prob of picking 1 y and 1 b?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -8*u**7\/105 + 2*u**3 + 19*u**2. Find the first derivative of a(w) wrt w.\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1084834825 divided by -43393393?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-276)\/(-46)*1\/(-4)))\/((-308)\/11858)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610627373?\nAnswer: 9613, 63521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14530\/(-4)*(-5 + (-19)\/(-5)). Suppose -2*y + i = r, 3*r = -13*y + 9*y + 8719. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8812 is divided by 109.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 12, 2*o - 5*f + 2*f = 13. Suppose 1 + o = 3*x. Suppose -3*q = -x*y + 13, 5*y - 28 = -8. Which is the smallest value? (a) 4 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696519.\nAnswer: 3, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let c(w) = 776*w - 3881. Let n be c(5). Let j(o) = 22*o + 1. Give n*j(t) - 4*r(t).\nAnswer: -26*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*p + 134 = -126. Let w(s) = -s**2 - 6*s - 2. Let r be w(-6). Put -5, r, 0, p in increasing order.\nAnswer: -5, p, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 21 - 2)*(9*a + 0*a + 0*a) + 8 - 8 - 3*a)*(3*a - a - 2 + 0*a) in the form u*a**2 + r*a + s and give r.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30223113 - 1102023?\nAnswer: -31331202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 30577844?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 8)*12\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7638248.\nAnswer: 2, 401, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 413.7821 + 3.3579. Let o = w - 591.762. Let h = 175 + o. What is h rounded to 2 decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1963595 milligrams to kilograms.\nAnswer: 0.0000001963595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -4 - -17 - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3083360 and 21280.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 2.1717?\nAnswer: 2.4717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**2 + 2278020*q + 102500775 = 0. Calculate q.\nAnswer: -455559, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -21*x**2. Let f be r(1). Let b = 22 + 19. Let v = f + b. Solve -v = 6*i - 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 908, 906, 902, 896, 888, 878, 866?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2959.852 millennia?\nAnswer: 29598.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/16)*o\/((o**(-5\/6)*o)\/o))**(6\/7) assuming o is positive.\nAnswer: o**(85\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 84*m. Let j(h) = 19*h. Give j(o(i)).\nAnswer: 1596*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 40.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 53\/5 of a centimeter?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16)*w*w**(-16)*(w**(-24)\/w)**(-33))**(-48) assuming w is positive.\nAnswer: w**(-38112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*j**2 - 59275*j - 59360.\nAnswer: 5*(j + 1)*(17*j - 11872)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/18)\/((-198)\/81)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**4\/12 - 3*m**3\/2 - 5*m**2\/2 + 18*m. Let b be h(-5). What is the highest common divisor of b and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.9711 rounded to 1 dp?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -22.66 (c) -5 (d) 1\/4 (e) -0.1 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 113877.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -40. Let c(o) be the first derivative of 0*o - 4\/21*o**3 + 1\/21*o**w - 1\/7*o**2 + 4\/35*o**5 + 6 + 0*o**4. Factor c(z).\nAnswer: 2*z*(z - 1)*(z + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -70, -5, -47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13*r**2 + r + 4. Let q(t) = 1104*t - 2210*t - 14*t**2 - 5 + 1105*t. What is -6*q(l) - 7*s(l)?\nAnswer: -7*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inyfiffxiy. What is prob of picking 1 n, 1 x, and 1 i?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**5 + 8210*u**4 + 3370205*u**3.\nAnswer: 5*u**3*(u + 821)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -39, -77, -127, -189?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 14 - 65 - (23 - 30 - -9)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47724 is divided by 15879?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - (-22596)\/(-525))\/(3\/(-25)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/3 and -113\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.67 + -69.33. Let d = 6637165 - 6637094.000145. Let q = i + d. Round q to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -12. List the prime factors of t - 13\/(-1)*5.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6601, -4668, -1447, 3062, 8859, 15944, 24317?\nAnswer: 33978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g - 3*g**3 + g**3 + 4 - 2*g**2 + g**3 - 5. Let j(t) = 4*t + 116. Let y be j(-30). What is a(y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/3 (b) 2 (c) 3 (d) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 6. Let p(l) = -l + 7. Let j = 36 - 33. Suppose 3*o = 3*r - 36, -j*o - r - 2 = -2*o. Give o*h(s) + 6*p(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**(-41))**(-30)\/(s**(-8)\/s*s*s*s**(-6\/11))**(-12\/13) assuming s is positive.\nAnswer: s**(-352776\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b - 17*b - 184 = 16*b. Put 3, 14, b, 1 in ascending order.\nAnswer: b, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfw when three letters picked without replacement from {k: 1, f: 2, w: 2, m: 1, q: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-10) - 31\/5. Let i be 2\/d + 14\/6. What is the third derivative of -3*z**3 + 5*z**3 + z**i + 0*z**2 wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*s = -88 + 8, -2*h - 3*s = -87. What is the greatest common factor of 84 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 f, and 2 t when four letters picked without replacement from fdfuffddftft?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 29*v - 32*v + 768351, 5*c = -2*v + 512234. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6338d - -110?\nAnswer: 6349d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 728880 (base 12) in base 10?\nAnswer: 1798368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 24*g - 93, 4*g + 2*o + 175 = 201 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90414, -90469, -90560, -90687, -90850, -91049, -91284?\nAnswer: -91555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13553709 divided by 13.\nAnswer: -1042593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000813938986 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -30337 and -30338 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = 60*n - 229 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4295, -2252, -8799, -15346, -21893?\nAnswer: -28440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.636328mg in tonnes?\nAnswer: 0.000000006636328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12\/28 + 26567*20\/70?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - o = -17704004, -5*t - 3*o - 5709462 = -27839474. What is t rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2\/9, -1, -3 in decreasing order.\nAnswer: -2\/9, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 3*o**5\/140 + 9*o**4\/28 + 4*o**3\/7 + 254*o. Determine k, given that j(k) = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**5\/8 - 16959*f**4\/4 + 186317*f**3 - 338718*f**2 - 745270*f + 1422708 = 0?\nAnswer: -2, 2, 42, 33874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 38?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.91 + -340.91. Do o and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 31*g**2 - g + 4. Let i be m(-5). Suppose 0 = 4*w + 264 - i. What is the remainder when w is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23624634 to the nearest integer?\nAnswer: 4861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 233*x + 6. Is u(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2853.711 - 2787.6. Let a = h - 0.111. Let u = a + -66.0086. What is u rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77 + -179.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 27, 44, 63, 84?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(125) - sqrt(45)\/sqrt(576).\nAnswer: 3 + 39*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -38b35e (base 15) to base 3\nAnswer: -12010020112022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -353*h**2 - 7*h*j**2 + 158*j**2 + j + 2 wrt h?\nAnswer: -706*h - 7*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/22)\/(1\/(-1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1377) + 5 - sqrt(1377) - (sqrt(1377) + 5 + -1 + sqrt(1377) + sqrt(1377)))**2 + 5.\nAnswer: -162*sqrt(17) + 12407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -22.7. Let v = 3.7 - n. Put v, 0.1, 3\/5 in ascending order.\nAnswer: 0.1, 3\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o, -k + 16*o + 16*o - 3 - 2 = 28*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1. Let c(n) = 2. Let u(h) = -c(h) + y(h). Suppose -5 = -5*p - 0. Let j(t) = -t**2 + 3. Give p*j(o) + 3*u(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640) - (sqrt(640) - (sqrt(640) - sqrt(640)*2)))*-5)\/((sqrt(288)\/(3*sqrt(6)))\/sqrt(6)) + -3.\nAnswer: -3 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/5*(-19*15\/3135)\/((-1)\/55).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4 = -7. Let h(u) = u**3 - u**2 - 95. Let t be h(0). Let a = t - -95. Which is bigger: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 151447350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 17*u**3 - 5*u**2 + 5*u - 5. Let g(w) = 18*w**3 - 4*w**2 + 4*w - 4. Determine -5*g(p) + 4*m(p).\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 13. Suppose -3*l + 6 = 0, -k - 2*l + w = -2*k. Solve 0 = k*j + 3*i - 5*i - 7, i = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 11*q**2 - 2*q - 4*q**2 + (2 - q - 2)*(-5*q + 4*q + 0*q) - q**2 - q**2 - 3*q**2 in the form i*q**2 + n*q + o and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391 is divided by 1380?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 2:27 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4152 = -3*v, -j - 2*v + 7*v + 2069 = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26574*k**2 - 2*k - 583986.\nAnswer: -53148*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9720)\/(-3213) - 60\/(-510)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*d - 7 = 0, -s + 6 + 2 = -d. Suppose -19 = -k - 5*w - 3, 4*k = 4*w - 8. Which is smaller: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4036476523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 5 + 0 = 3*x, -8 = 5*x - 4*u - 0*u - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/13 (b) 7 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -110678 + -10.1\nAnswer: -110688.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*w - 4. Let t = -45 - -11. Let r = w - t. What is the remainder when r is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Suppose u*n = -37 - 91. Let z = n + 117. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*(sqrt(605) - (sqrt(605) - (sqrt(605) + 0))) - sqrt(605)) + 5*-2*sqrt(605))**2.\nAnswer: 792*sqrt(5) + 49021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2677 (base 9) in base 16?\nAnswer: -7de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 193048512 to the power of 1\/3, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472607?\nAnswer: 41, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7204743037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 1. Let d(z) be the third derivative of z**4\/12 - z**3\/3 + 2*z**2. Let p(g) = d(g) - 3*o(g). Differentiate p(k) with respect to k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 7:18 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5043.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 31*o**2 + 30*o - 66. Determine v(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 0.4 (b) -39\/4 (c) 1.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 5. Let n be (-6)\/x - (-2)\/(-4). What is n rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153957, -307914, -461871, -615828?\nAnswer: -769785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 14 + 21 = 0. Let w = s + -2. Solve -w - 4 = -3*g, 3*o + g = 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -52?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 16*a - 3 + 2.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 2200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14005\/44 + -1255\/4. Let q(x) = -15*x**2 - 12*x + 12. Let a be q(1). Calculate the common denominator of h and 85\/a*(-15)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.474*-0.365\nAnswer: 1.99801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 562469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*b*x**2 - 21103*b*x - 490*b - 803*x**2 + 294574 wrt x?\nAnswer: 16*b*x - 21103*b - 1606*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 2*d + 16. Let q be f(0). Suppose -25*i + q*i = -54. Calculate the greatest common divisor of 18 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1170 and 0.5.\nAnswer: -1169.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433697 is divided by 144564.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w - 47*w = 10*w + 160 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 4*q - 43. Let g be s(10). Calculate the highest common divisor of g and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3265 and 9505068.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.962 - 0.038. What is the smallest value in -3\/7, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145950772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (276 - 489 + 375)*(1 + r - 1)*(100 - 100 + 11*r).\nAnswer: 1782*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 147. Let n be q(19). What is the smallest value in n, 0, -3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -183.2 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2760 by 5.\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/15)\/((-39)\/130)*51\/34.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.036? (a) 4 (b) -5 (c) 1\/5 (d) 0.3 (e) 9\/13 (f) -0.0943\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -137*f - 99 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.063 + -58.063. Let j = 57.609 + p. What is j rounded to two dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 105 = -5*l, -5*h = -4*l - 150. What is the remainder when 99 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 12. Let u = i + -5.99995. What is u rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/((-5)\/(-250)*6\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 3*k - 5. Let b be r(4). Calculate the greatest common factor of b and 198.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.4. Suppose 0 = -3*d + 10*d - 7. What is the biggest value in d, -0.4, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17466?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*h + 5 = -77, -4*h - 89 = -3*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*r + 67*r + 85*r + 62*r + 72*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*z + 26*z + 2270. Does 24 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*i - 14*i + 144*i)*(-1 + 2*i + 1) + (0 - 1 - 7)*(0*i**2 - i**2 + 2*i**2) in the form k*i + s + z*i**2 and give z.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(468) + 1 - ((sqrt(468)*2 - sqrt(468)) + -3))**2 + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 53536 = -12*g + 9*g, -4 = 4*x. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3355.\nAnswer: 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n - 2292. Let p(k) = 6*k + 3447. Calculate -5*p(s) - 8*r(s).\nAnswer: 2*s + 1101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 288*x**2 - 412*x**2.\nAnswer: -700*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, 2, 0 in descending order.\nAnswer: 3, 2, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*u - 146 = 0, 26*x + 7*u - 14*u = -11*u + 270 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llflulllufjujjl. Give prob of picking 1 j and 1 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 6765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5915 divide 1174835652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4741, -4697, -4653, -4609?\nAnswer: -4565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 357, 519, 679, 837?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017239 to the power of 1\/2, to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 294 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 290 - -214. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 4:41 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72770602641.99999739 + 72770603023. Let i = 381 - d. What is i rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2149, -4387, -6623, -8857, -11089, -13319, -15547?\n\"Answer: c**2 - 2241*c + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, d: 4, z: 6, k: 1}. Give prob of sequence zd.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**4\/12 + 43*n**3\/6 - 55*n**2 - 2. What is t(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by 121.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 263, 525, 787, 1049?\n\"Answer: 262*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20629? (a) -1 (b) -21\/4 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 21. Suppose -8 = -9*x + s*x. Let q be -2 + (-3)\/(-2) + -1. Which is the smallest value? (a) 2 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 499928871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125 - 2 - (8294 - 8169)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 12:59 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 4*o - 5 + 9*o - 10*o. Let h = 7 - 5. Let j be k(h). Solve -j*t = -10, t - 4*t = -2*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1050, 1047, 1050, 1065, 1098, 1155, 1242, 1365?\nAnswer: 1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 6*s + 3. Let o be -1 - 3 - (-11)\/(77\/63). Determine v(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1566700 to the nearest 10000.\nAnswer: -1570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 18, 5 in increasing order.\nAnswer: -2, 0, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**8\/560 + i**7\/140 + i**6\/120 - i**3\/6 - i**2 - 49*i - 1. Let k(n) be the second derivative of m(n). Solve k(z) = 0 for z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -36*u - 22. What is the smallest common multiple of 3 + u + -6 - -69 and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4)\/(-10) + (-16)\/(-10) and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15 + 1\/3*y**2 + 4\/3*y.\nAnswer: (y - 5)*(y + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*r - 5*a, 42 = 3*r - 5*a + 58 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6401827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 393?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 9*u**8\/2240 - u**7\/42 + 13*u**6\/240 - u**5\/20 - u**4\/12 - 3*u**2. Let r(y) be the second derivative of s(y). Factor r(f).\nAnswer: 3*(f - 1)**2*(9*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 250 = -0*p + 4*j, 0 = 4*p - 5*j - 956. Suppose -5*u + 4*u = -3*o - 230, -2*o = -u + p. Calculate the remainder when u is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -361*h**5\/60 - 37*h**4\/6 - 336*h**2. Find the second derivative of s(c) wrt c.\nAnswer: -722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 7*s - 2*s + 44, 4*a - 28 = s. Calculate the remainder when (-4)\/a*(-783)\/29 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**6\/15 - 13*w**2\/2 - 7*w. What is the first derivative of x(u) wrt u?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/2, -23, 26\/21, 1\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 23\/(-7) - 2. Let z be -2*(1 - (1 - 2)). Let k be -1 - 1*(-2)\/z. What is the closest to u in -1\/3, 2, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20092783\/60 + -334870. Let c = x - 141\/20. Let 5\/3*k**2 + c - 22\/3*k = 0. What is k?\nAnswer: 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aana when four letters picked without replacement from nnnnaannnna?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((5 + 0 + sqrt(200))*5*2 + (-5 + sqrt(200) + sqrt(200) + 1)*3*2)**2.\nAnswer: 11440*sqrt(2) + 97477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 778 and 1334?\nAnswer: 518926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6217, -6278, -6181, -5848, -5201, -4162, -2653?\nAnswer: -596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 3 - 2 - 4\/(20\/(-135))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 1. Let d(q) = q**2 + q + 1. Let l(a) = -2*a**2 + 6*a + 4. Let u(g) = -4*d(g) + l(g). Let r(h) = h**2. Give x*r(t) + u(t).\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -10.2, 4, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/(28*31\/9114).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -11*b + 6*b, -7 = -3*g + 2*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1295 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 23*s - 3*s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -9. Let p = 21189 - 21147. What is the nearest to 0.1 in p, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022 - -24610.79?\nAnswer: 24610.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1241 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32318 (base 9) to base 16.\nAnswer: -5399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trr when three letters picked without replacement from wrrzrwtssw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 - 2*c**2 - 299*c + 302*c to o + n*c + h*c**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*x + 6*x. Let h = 21 - 21. Suppose -3*f + 2 = -2*l, -l - 14 = -2*f - 6*l. Solve -f*w + x - 3 = h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 0.03, 5\/2, 5, 184, 0?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(6\/5))\/(p\/(p*p\/(p\/(p*p**(4\/3)))))*(p*p*p**(-9)*p*p)\/(p*p**(-1\/5)))\/((p**(-1))**(-3)*(p\/(p**(-8\/5)\/p))\/p*p**5) assuming p is positive.\nAnswer: p**(-214\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/3 + (-2)\/3. Let v = 5199 + -5171. Suppose 11*g = s*g + v. Solve -2*y = -g*y + 2*h - 16, -2*h - 4 = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.13, -0.5, -11, 4, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2590*l**3 + 102*l**2 + 15.\nAnswer: -15540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 37609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33120 divided by -6624\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 5*f**2 + 5*f - 2. Let k be h(4). Suppose k*j - 6 = j. Factor -j - d**3 + 15*d + 0*d**3 - 12*d**2 + 5*d**3 - d**3.\nAnswer: 3*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*s + 4*a, a = -9*s + 4*s + 14. Suppose -s*m = -6*m. Let h be (-2)\/4 + (-18)\/(-4). Solve m + h = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116634421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -596861.\nAnswer: -596863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6 - 3)\/((-45)\/(-6240)) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/5*(57\/(-6) - -7). Differentiate d + 47*v**4 - 28 + 46 with respect to v.\nAnswer: 188*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/6728850 and -41\/177075.\nAnswer: 6728850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2 + 14*b - 17. Let f(n) = -2*n**2 - 5*n + 6. Let s = 20 + 14. Suppose s = 2*y - 0. Give y*f(q) + 6*a(q).\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**5 - 22525*i**4 + 895190*i**3 - 9782150*i**2 + 16968805*i - 8059325 = 0.\nAnswer: 1, 19, 4465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d - 63. Give m(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 5*i**2 - 7*i - 26. Suppose 7 = l - 5*f + 35, 37 = -4*l + 5*f. Does 8 divide v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*-4*(-27)\/(-675).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(176) - -2*sqrt(44)\/sqrt(4) - (-1 + sqrt(1100) - sqrt(1100))*-3)**2.\nAnswer: 24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 308223523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 11 = -3*s, -4 = -x - 3. Solve 0 = d - s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m - 5*o - 64 = 0, 4*o = -m + 19. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -205850 - -23?\nAnswer: -205826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4960 + 24933\/5. Is l at least 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 46749 + 13096 + r**2 + r.\nAnswer: r**2 - 33653","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3320934773.\nAnswer: 13, 255456521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -146\/5 (b) 21 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 19 + -9 + (-15 - -34).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-4))\/(z\/(z**7*z)))\/((z\/(z*z**4*z))\/z**(-8\/5)))\/((z*z\/((z\/(z\/(z\/(z**(-3)*z))))\/z)*z*z*z*z\/z**9)\/(z**2)**(2\/29)) assuming z is positive.\nAnswer: z**(2978\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 834*p - 5654*p + 1593*p + 2782 - 8917*p with respect to p.\nAnswer: -12144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1325 in -5, -1, -7.41, -2\/19?\nAnswer: -7.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 12, 0 = -2*a + 5*c + 24 - 4. Suppose -11*j + 21*j - 40 = a. Let o = -1 + -4. What is the biggest value in -4, -3\/8, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-56)\/16)\/(3\/(-18)). Let t(w) = -v*w**2 + 1397 - 1397. Let n(h) = -7*h**2 + 5*h**2 + 4*h - 4*h. What is n(t(b))?\nAnswer: -882*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 4150035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1745012 is divided by 1777?\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*w + 70 = 0, -42 + 58 = v + w. Calculate the highest common factor of 24105 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.5 + 8.01. Let f = 0.99 - 1. Let k = f + l. Which is the smallest value? (a) 0.1 (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30888, 30886, 30884, 30882?\n\"Answer: -2*u + 30890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 7*t - 7. Suppose g = 5*s - 0*g - 18, 3*g = 6. Calculate the remainder when s is divided by m(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12299, 12290, 12279, 12266, 12251?\n\"Answer: -a**2 - 6*a + 12306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57 + -1a7971?\nAnswer: -1a7a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 45 (c) 1\/2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4644818 is divided by 543.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180340 is divided by 164.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2194511 is divided by 9105.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9847543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 - 7*i - 5*i**2 - 38*i + 7*i - 2.\nAnswer: -15*i**2 - 38*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41916*h*s - 2020*h - 3 with respect to s.\nAnswer: 41916*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10176 and 1344?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2316404964 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 7*f - 10. Let k be z(-5). Let r(q) = -1 - q**3 - 8*q**2 - 2*q - 3*q + k + 2*q. Does 23 divide r(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007343?\nAnswer: 3, 37309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 186*b - 183*b - 15. Put b, 0.3, 0 in ascending order.\nAnswer: 0, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -100101010101110?\nAnswer: 100101010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(3\/10)*a\/(a**(9\/2)\/a))\/(a**2\/(a**(2\/33)\/a)) assuming a is positive.\nAnswer: a**(-518\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/5, 1, -92\/29, 0, 4, -2\/51?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 29792*u\/5 + 10422792\/5.\nAnswer: -2*(u - 15238)*(u + 342)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 9*q = 6*q - 9, -5*c - 5*q = -25. Solve -3*y - c = 3*h, -5*h - 7 = -y + 4*y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 2*z**3 - 3*z**3 + (-z**2 + 3*z**2 - 3*z**2)*(-1 - 1 + 3)*(-3 + 3 + z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1132*l + 41877. Determine h(37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/172971 or 0?\nAnswer: 1\/172971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221\/18 - 25\/2. Sort -3\/8, -1\/2, x in descending order.\nAnswer: x, -3\/8, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-10939\nAnswer: -21878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4881 + -1998. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 3. Let u be 2\/(-3) - 52\/(-6). Let n = u - 3. Let m be i(n). Solve -q + 3 = m*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(sqrt(1331) + 1) + (sqrt(1331)*1 + sqrt(1331))*1)*1.\nAnswer: -11*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0231 less than -31866.552?\nAnswer: -31866.5751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 9*d - 13. What is u(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84184.78g in kilograms?\nAnswer: 84.18478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - z + 1. Let p = 2 + -3. Let q(c) = 4*c**3 + 3*c - 3. Let i(h) = -3*h + 15. Let g be i(6). What is g*o(k) + p*q(k)?\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 205*v. Let m(d) be the third derivative of 1\/60*d**5 + 0*d**3 + 0*d + 0*d**4 + 0 - 73*d**2. Give o(m(i)).\nAnswer: 205*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 7, 10, 15, 22?\n\"Answer: t**2 - 2*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515410243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*w + 6. Let r be (-3 - 2 - -1) + 0. Put r, w, -2 in descending order.\nAnswer: -2, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + 0.2. Let q = 2.4 - v. Which is the second smallest value? (a) 5 (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2\/5 - 10114*a\/5 - 2348744\/5 = 0.\nAnswer: -4813, -244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 7:00 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 532231 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*j - 447, -773 - 295 = -5*j + 4*a. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**4\/4 - o**2 - 2*o + 1. Let g be r(-2). Let d = 14 - g. Solve 0 = -2*i + n + 8, 0 = 3*i - 6*i - d*n + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0.1, 0.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*k - 1061*f - 104*k**3 with respect to k.\nAnswer: 2*f - 312*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 11174970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -44. Suppose 17 = -i + q. What is the remainder when i is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1650552 divided by -3?\nAnswer: 550184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c - 228 + 247 = 0. Let p(b) be the third derivative of -2*b**5\/15 - b**4\/8 + b**3 + 4*b**2. Let q(m) = m**2 + m - 1. Determine c*p(g) + 6*q(g).\nAnswer: -2*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18409641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/4 of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k - 34*k - 2*k - 29*k + 15*k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 319 * 11\nAnswer: 3509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*m - 4*w, 0 = -3*w - 0 + 6. Suppose 4*j + 12 = -3*r, 4*r + 7*j + m = 2*j. What is s in 0*s**3 - 4\/9*s**2 + 2\/9*s**5 - 2\/9*s + 4\/9*s**4 + r = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + 3*i**2 - 2*i - 1. Suppose -3*m + 1 = 3*b - 14, 4*b - 4*m = 36. Let u(l) = 3*l + 9*l**3 - 2*l - l**3 - l**2 - b*l**3. Give -k(f) - 2*u(f).\nAnswer: -4*f**3 - f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 4*p = 23, 4*c + 5*p + 28 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 4) in base 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2148.65085 + -0.2.\nAnswer: -2148.85085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 less than 65023?\nAnswer: 64418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 186.0981.\nAnswer: 558.2943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 8*g**2 - 7*g + 12. Calculate the lowest common multiple of 20 and h(7).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*d + 2 + 7 + 400*d - 9 in the form z*d + i and give z.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402322894.\nAnswer: 2, 7, 17, 5892113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-18462\nAnswer: -5538.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16110 (base 7) to base 5\nAnswer: -121030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 minus 1561?\nAnswer: -1560.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -130*y - 10. Let f = -6 + 12. Let q be b(f). What is q rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4179971*h**5 - 8170697*h.\nAnswer: -83599420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*c + 3*z, -4*c + 8 = 90*z - 87*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3))\/((-1)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 63, -2, 114 in increasing order.\nAnswer: -17, -2, 63, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -850b9 + -679?\nAnswer: -85776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -4*h. Suppose 7*a - h*a - 16 = 0. What is the remainder when 17 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 86 + 20 = 0. Let a = s - -33. Suppose -4*p - 2*d = -554, p - 136 = -a*d - 3*d. Is 26 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 9*q**2 + q - 9. Suppose -5*x + 10*x = 45. Let b be s(x). Sort 2\/9, -0.2, b in increasing order.\nAnswer: -0.2, b, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 181, 234, 273, 298, 309, 306?\n\"Answer: -7*u**2 + 74*u + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 15. Let q(l) = -2 - 11*l + j*l + 3 + 2. Is q(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2. Let m = -6 - -9. Let o(j) = 7*j + 5. Let u(x) = -4*x - 3. Let n(y) = m*o(y) + 5*u(y). What is d(n(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(9\/7)\/k*k*k**(-8))\/(k\/(k*k*k\/(k\/(k*(((k\/((k*k\/((k*k*k*k\/(k*k\/(k*k\/(k**(-10)*k))))\/k)*k)\/k))\/k)\/k)\/k*k)))*k)**(-15\/7) assuming k is positive.\nAnswer: k**(-197\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6477023 and 376.\nAnswer: 51816184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -100848 minus 44097418?\nAnswer: -44198266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywzwzyzwoy. Give prob of sequence oy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6906*x + 290072. What is h(42)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358687?\nAnswer: 11, 123517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 7*d - 544. Suppose 0 = 6*z - 68 - 16. What is the remainder when d is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5204 and 2602.\nAnswer: 5204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d**3 + 7*d**2 + 2*d - 2. Let p(a) = -14*a**3 - 7*a**2 - 3*a + 3. Calculate 2*p(x) + 3*w(x).\nAnswer: 11*x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, 1.3, 3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 56 = 4*n + 4*g, -n - 3*g = -24. Calculate the highest common factor of n and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52335905 divided by -52335905?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 13*v**5\/10 - 2*v**4 - 5*v**3 + 14*v**2 + 4717*v. Factor d(z).\nAnswer: 2*(z - 1)**2*(13*z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8460549 divided by -6.\nAnswer: -2820183\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 4. Let k(y) = -y + 5. Let b be k(2). What is o(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3 - 8514*h**2 + 231116*h - 942480 = 0.\nAnswer: -4284, 5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15807754, -15807737, -15807708, -15807661, -15807590, -15807489?\n\"Answer: w**3 + 10*w - 15807765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000018425034 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + 2e97?\nAnswer: 2e89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -769*d - 57*d - 173*d in the form t + p*d and give p.\nAnswer: -999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15129 is divided by 1096?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2108*x + 28642. Determine c(15).\nAnswer: -2978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 5*j + 0*j + (2*j - 4*j + 0*j)*(2 + 1 - 4) + 2*j + 2*j + 0*j)*(-j**4 - 2*j**4 - 2*j**4).\nAnswer: -40*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**3 + 4*g**2 + 2*g. Suppose 35 = -2*v + 107. Let x = v + -35. Let t(c) = -c**3. Calculate x*b(l) + 5*t(l).\nAnswer: l**3 + 4*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37405\/4 + 9295. Do -57 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21277 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 11:30 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - -31. Let j be 64\/(-78) + 34\/o. Let f = -3 + 2.8. Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270\/11497 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 less than or equal to 1076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/(-80) + 46\/10. Suppose -4*u + i - 5 = -1, -5*u + i - k = 0. Suppose 3*m - 2273 = s, u = 2*m - 0*s + s - 1512. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 63 - 13 = 0, -22 = 9*f - 8*f + f - 6*i for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 30942 = -6644. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63259 divided by -86.\nAnswer: 63259\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgffpffzxxxs. Give prob of picking 1 g, 1 x, 1 z, and 1 p.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 v when three letters picked without replacement from {v: 4, a: 6, x: 7}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) + 0 - sqrt(252) - sqrt(252))) + -5*sqrt(42)\/sqrt(6))**2.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 12, 6, 0, -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 14*i - 12*i + 5, -4*i - 4 = -4*n. Let l(w) be the third derivative of 0 + 2*w**2 + 0*w**4 - 2\/9*w**n + 0*w + 1\/180*w**5. Factor l(b).\nAnswer: (b - 2)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 14 = -2*o, 0*o - 5*q = 2*o + 29 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -104 - 6?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 22 = 4*z - 38, -12 = -3*j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1093020 is divided by 1164?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, h: 12, n: 4, l: 1}. Give prob of picking 1 h and 2 n.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a + 6 = 0. Suppose 4*c = -3*u + 5*c + 81, u - a*c = 22. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9169477, 36677929, 82525349, 146711737, 229237093, 330101417?\nAnswer: 449304709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7 + 3 + 5*c**2 - 1 + 5*c - 1 - c**3. Let o be l(6). Differentiate -5*g**2 + 9 + 14*g**2 - 7*g**o with respect to g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 19*y = -180. Let d be 1\/((y\/6)\/(14 + -9)). Suppose 0 + 3\/5*m**3 + 36\/5*m**d + 108\/5*m = 0. Calculate m.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**1*h**(-5)*(h*h**(1\/2)\/h)**(-1\/3))\/((h*h\/(h**(-2\/13)\/h)*(h*h**(-5)*h)\/h)\/(h**(-2)*h**(-4\/3)*h)) assuming h is positive.\nAnswer: h**(-173\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2728 (b) 2\/15 (c) 1.2 (d) 10 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4177*i**3 + 6*i**2 + 6*i - 18. Let j(g) = 129489*g**3 + 187*g**2 + 187*g - 561. Determine -187*b(r) + 6*j(r).\nAnswer: -4165*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 2. Sort u, 5, 0.2 in ascending order.\nAnswer: u, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13398 and 35013?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -13*d. Let l(q) = q. Let j(b) = -5*l(b) - v(b). Let k(f) = 2*f**2 - 2*f**2 - 2*f**2. Calculate j(k(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 74. Suppose 0 = -0*h - h + 47. Let l = h + n. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30278.67285 to zero dps.\nAnswer: 30279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - k - 51375 + 51382, -3*k = -3*u - 27 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 3544.\nAnswer: 10632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (52 + 45 + -12)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) -0.1 (c) -2\/149 (d) 1\/7 (e) -2\/11 (f) 0.132 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - 0) + 22 + (-27 - -22)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.8 - 133.2. Let g = -148.7 - h. Is -18 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (5 + -2) - 102. Round z to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.25 + 3.25. Let b = -15 + -1. Sort f, 0.1, b.\nAnswer: b, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/1*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, -5, 0, -1 in ascending order.\nAnswer: -5, -1, 0, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from {k: 1, p: 11, a: 3, m: 1, s: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 436432 divided by 4\nAnswer: 109108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1 - 5*k**2 - 6*k**2 + 12*k**2 + 0. Let x(b) = -6*b**2 + 4. What is -4*p(t) + x(t)?\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(1\/10))\/(h*(h*(h**(-1)\/h)\/h*h)\/h)*(h\/(h\/(h\/h**0)))**(-1\/26) assuming h is positive.\nAnswer: h**(199\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8ecd95 (base 16) to base 8.\nAnswer: -43546625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 793 or 794?\nAnswer: 794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/5595 and -48\/373?\nAnswer: 5595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/136)\/(-3)*(-4)\/3\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3 - 1 - 19*f.\nAnswer: -19*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r - 1. Let h(c) = -3 - 3 + 5*c + 5. Suppose -5*j - 80 = -2*d, 2*j = -j - 2*d - 64. Let w be 80\/j - 8\/(-18). Determine w*x(u) + 3*h(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.802 - 29. What is g rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 4*f**3\/3 - 4*f**2 - 31*f - 113. Calculate the remainder when t(7) is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r - 36. Give l(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-64)*420\/3654*58.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 6:48 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhhh when four letters picked without replacement from hhhhhzhhzzhzhh.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-84972)\/(-21))\/2 + (-2)\/14. Let p = -1068 + y. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yygvxxagu. Give prob of picking 1 u, 1 y, and 1 v.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 4:16 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 0 + 5\/6*s**3 - 1\/60*s**5 + 0*s + 1\/8*s**4 + 21*s**2. What is b(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 1:34 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*j - 161*j + 22 = -3*w, -5*j = -12*w + 50 + 60 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaazzaizi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000085281 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2009 - -20?\nAnswer: 2029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 2*r + 120 = 0. Let a(u) = -u**3 + u + 38. Calculate the remainder when a(0) is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -456581.8, -3\/4, -2\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1621 = 28*y - 647. What is the least common multiple of 57 and y?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*i**2*n**2 - 2*i**2*n + 3239*i**2 + 5*i*n**2 - 425072*i*n wrt i?\nAnswer: 92*n**2 - 4*n + 6478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 186*b - 189*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -40*p + 160. Give a(8).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*r = 117*r - 80. Put r, 3, 8, 1 in descending order.\nAnswer: 8, 3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201414?\nAnswer: 2, 3, 33569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 22879.11684 to the nearest ten.\nAnswer: 22880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1552 or -1555?\nAnswer: -1555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/((12\/686)\/((-232)\/203)).\nAnswer: 98\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 207398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/52 + (-756)\/(-234). Solve -b*c = -27 + 24 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-2\/5))*m)**44\/(m\/((m\/(m*(((m**(4\/7)*m)\/m)\/m)\/m))\/m)*m*(m**2*m*m*m)\/m) assuming m is positive.\nAnswer: m**(1961\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 3*l - 4. Let o be 4\/(-10)*-5*-2. Does 12 divide v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 12. Let j = 8 - 1. Let y = u - j. What is the second smallest value in y, 0.1, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 848 (base 15) to base 8.\nAnswer: 3514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*m - 67 = 0, 4*m = -4*o - 0*o + 44. Let n = o - -109. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2757, -5358, -7965, -10578, -13197, -15822, -18453?\n\"Answer: -3*z**2 - 2592*z - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5155969 is divided by 1045?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.0000179 - 38. Round s to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lplpppppppppppllppp. Give prob of picking 3 p.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 - 174 = 2*i. Suppose 5*w - 2*k + 4 = -26, 5*k - 33 = 2*w. What is the nearest to i in w, 1\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 20*r - 59\/4*r**4 + 0*r**3 - 2*r**2 - 193. Find the second derivative of a(k) wrt k.\nAnswer: -354*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 222309284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*(-1 - 3). Let s be o + (2 - (0 + 2)). Suppose 5*q + 2*f = 152 - 698, 0 = s*q - 3*f + 226. Round q to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.21 or -209462?\nAnswer: -209462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1328 * 7.\nAnswer: 9296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 150\/24 + (-1)\/4 - 3. List the prime factors of (w - 21*5\/15) + 228.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*o - 4*f = 0, 4*o + 4*f = f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143 + -141. Suppose 5*d - 101 = -4*u, -r*u = d - 0*u - 19. Calculate the lowest common multiple of 7 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6\/f*f*(f*f*f**1)\/f)\/(f**(-3\/5)*f**0))\/(f**(1\/6)*f**(-2\/3)*(f**(1\/4))**(-2\/29)) assuming f is positive.\nAnswer: f**(1322\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-8)*-14 + (-1 - 0). Let y = 33 + r. Let s(x) = -x**2 + 11*x + 3. Let v be s(y). Solve -5*b - 1 = u, -17 = -v*b - 4*u - u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 33. Solve -2*s - 8 = j*b, 6*s = -4*b + s - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, 2, -5, 0.04 in decreasing order.\nAnswer: 5, 2, 0.04, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 6*j**2 - j - 4*j**2. Suppose -4*k = 8, -8*k + 3*k - 58 = 4*w. Let f be (-2 + (-28)\/w)*3. Give c(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2340 = 5*d, 4*m - 3*d + 1152 = 3025. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {i: 9, p: 6, y: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 372*p**3*y**3 + 18*p**3*y**2 - 39*p**2*y + 27*p*y**3 + y**4 + 13*y wrt y?\nAnswer: 2232*p**3 + 162*p + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -243586300 from 102.\nAnswer: 243586402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, 6\/5, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*i, -v + 2*i + 96572 + 5635 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-54)\/(-45))\/((-6)\/(-20)) and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from yhrrryyrrrryryrry?\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2472038*c*t**2 - 55*c*t - 6*t**2 - 99*t - 30113 wrt c.\nAnswer: 2472038*t**2 - 55*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2, -1.216, 1.176, 5 in increasing order.\nAnswer: -2, -1.216, -2\/9, 1.176, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*i - 225*i + 4480 = 134*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 4. Let b = -4 - -5. Let g(i) = 1. Give b*o(r) - 2*g(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 26. Let x = y + 16. Suppose x*b - 2 - 6 = 0. Solve -5*f + b*f - 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - z**2 - 8*z + 3. Determine g(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44874 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. Suppose 3*c = 10 - 4. Let s be c\/3*120\/(-48). Sort 0.1, u, s.\nAnswer: s, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 - 23143*d**2\/3 + 2582608*d\/3 - 24075072.\nAnswer: (d - 23031)*(d - 56)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2958 - -5?\nAnswer: 2963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9283 + -2468. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 15*y - 74. Solve -19 = 5*o - y*g, -5*o + 1 - 13 = 3*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302304 (base 5) in base 15?\nAnswer: 2d1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 77*c + 23 = -48*c, v - 3*c + 11 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3 + 0 - 34\/510?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 10*x**2 - 6*x - 3. Let t(i) = i**3 - 9*i**2 - 5*i - 2. Let h(f) = -5*k(f) + 6*t(f). Let m be -2 - (-6)\/(-1 + 2). Calculate h(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*t + 57*t + 305 = 3*s, -4*t = s + 27 - 124 for s.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1430055 and 2140?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 2. Calculate the remainder when (-159)\/(-6) + 2\/(-4) is divided by -14*(0 + g + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -931*c**2*n**4 + 841*c**2*n**2 - c*n**6 wrt n?\nAnswer: -22344*c**2*n - 120*c*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10101010100?\nAnswer: 10101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1833, -2927, -4141, -5493, -7001, -8683, -10557?\nAnswer: -12641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3792664 and -101\/7111245?\nAnswer: 56889960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5046 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12531 - 8595. What is the greatest common factor of 160 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/7)\/((-108)\/378).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -184 - 2064243?\nAnswer: -2064437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11\/6 + -7\/6. Let f = 134 - 138. What is the closest to 2\/13 in f, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2765*f**3 + 1508456*f - 1508456*f.\nAnswer: -2765*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d + 5. Let p(n) = 4*n + 3. Let i(q) be the second derivative of q**4\/12 - 8*q**3\/3 - 7*q**2 + 46*q. Let f be i(17). Determine f*a(r) - 5*p(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 1176?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2241 - 2244. Let v be (3 - -1) + 1 + -1. What is the smallest value in y, v, 2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/21*1)\/((-42)\/(-557571)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 233*h + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express p**4 + 2*p**3 - 5*p**4 + 3*p + 2*p**2 + 2*p**4 - 2*p - 4*p**2 + 1 in the form c*p + s*p**3 + x*p**2 + k + j*p**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxgwg. Give prob of picking 1 w and 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12*h**2 - 12*h - 24. Let d(n) = -4*n**2 + 4*n + 8. Suppose -5*b + 4*f = 5, -5*f + 6 + 19 = 0. Let u(k) = b*p(k) + 10*d(k). Factor u(s).\nAnswer: -4*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0246 * 0.4\nAnswer: 0.00984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*t + 7*h - 3*h, 4 = -2*h. Let c(s) be the third derivative of s**5\/60 - 5*s**4\/24 + 2*s**3\/3 - 34*s**2 - s. What is the tens digit of c(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 13*d - 73 + 4*d + 2*d**2 - d**2 + 15*d. Let q be h(-34). Put 2, q, 15 in decreasing order.\nAnswer: 15, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -33*t**3 - t**2 - t. Let x be k(-1). Let o = x + 7. What is the common denominator of 2\/(-2) - (-106)\/o and -13\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 7 + 43. Suppose z + 0*l - 34 = -l, -4*l - r = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*t**4 - 6181*t**2 + 19*t - 23448.\nAnswer: 876*t**2 - 12362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5027*n*x**6 + 2*n*x**3 - n*x**2 + x + 407 wrt x.\nAnswer: 603240*n*x**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65a (base 11) to base 13.\nAnswer: 48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 601608 divided by 150402?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 79. Suppose 3*y + 40 = s*x, 24 = -4*x + 4*y + 112. What is the remainder when 73 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from tddtazne.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide ((-722 - 34)\/42)\/(-1*1\/270)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by 6?\nAnswer: -43\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 0)\/((1 + -10)\/36).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -9*h + 35. Solve h*k = -0*l - 2*l + 33, 5*k - 45 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336961, 673879, 1010745, 1347559, 1684321?\nAnswer: 2021031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131003, 261882, 392761, 523640, 654519, 785398?\nAnswer: 916277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -903 - -18959\/21. Is d at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 293 + -45?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145768 and 448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-540)\/225)\/(27\/(-244395)).\nAnswer: 2, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.16 - -0.04371828626\nAnswer: -3.11628171374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5766 and 20.\nAnswer: 57660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 27 (b) -0.2 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -186*j + 185*j - t - 57, 0 = 20*j + 3*t + 57 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 14. Let r(s) = 3*s. Give l(r(t)).\nAnswer: -9*t**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 4. Let o be i(8). Suppose 92 = -o*w + 8*w. Calculate the remainder when w is divided by (-328)\/(-44) + (-48)\/(-88).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/4 - 32819*z\/4 + 8205 = 0.\nAnswer: -32820, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/((-21)\/28). Suppose 3*k - 21 = -p*k + 4*y, 0 = -2*k - y + 11. Let f be (-2*k)\/(2 - 4). Solve -f*s + 4*a = -3, -5*s + 3 = -2*s - 2*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 819, 1704, 2917, 4458, 6327, 8524?\nAnswer: 11049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 219344611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7291.5 - -7291.5038247. What is h rounded to four dps?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34018 + 12?\nAnswer: -34006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-126) - (-32)\/(-18) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 552374159 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.4 + -1.4. Let t = 0.037 - 4.037. Let f be 1*-1 - (-20)\/8. What is the smallest value in f, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brihrh. What is prob of sequence hr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnininifnni. Give prob of sequence fff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12480 + 12488. What is the smallest common multiple of l and 3508?\nAnswer: 7016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, h: 3, q: 4, r: 2}. What is prob of sequence rh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2*a + 5*a**2 - 4 + 7.\nAnswer: 5*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 2) + 4 - -1. Let y be (-6)\/(-9) - (-8)\/z. Suppose y*l + 22 = 3*l. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1466 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjzzjzjjjj. Give prob of sequence zjz.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 157?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 79*p - 50*p - 34*p - 53*p to the form c + m*p and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 196*n + 192*n - 16, 0 = -s - 2*n + 4. Let f be (3 - 0) + -3 + 3. Solve 0*j - f*j - 12 = -3*l, 3*l + 2 = -s*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3947, -3401, -2485, -1199, 457, 2483, 4879?\n\"Answer: 185*h**2 - 9*h - 4123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49322*y + 49327*y + j - 29, -2*j + 28 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 29\/5 of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n - 65. Calculate v(4).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 18*p + 32. Let l be i(-17). What is the highest common divisor of 60 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4 - 2 - 2*h + 0. List the prime factors of n(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (8 + 0) - 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.12 or 940028?\nAnswer: 940028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 4*z - 274. Suppose 5*q - 121 - z = 0. Suppose 0 = q*h - 30*h - 264. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from annnaannaa. Give prob of sequence naaa.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1.7. Let j = 0.11 - 0.3. Let n = -5 - -9. What is the second biggest value in j, s, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 24*b - 72.\nAnswer: -2*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i. Suppose -t - 104 = -5*y, 11*y - 23 = 10*y - 2*t. Let a(o) = -y*o - 31*o - 25*o. Calculate j(a(s)).\nAnswer: 154*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phss. What is prob of picking 2 s and 1 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3*x = -20, 7 = -5*u + 2*x + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*n - 4 - 1)*(0 - 2 + 0) + 83 - 83 + 45*n.\nAnswer: 41*n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 13, h: 3}. What is prob of picking 3 t and 1 h?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 328*k**2 - k + 2. Let f be p(1). Let q be (4\/1 - 3) + 5. Suppose f = a + q*a. What is the greatest common factor of a and 376?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*m + 4 + 2, 5*m = -4*a - 2. Suppose -3*t = -0*t - 5*k, -3*k = 2*t. Suppose 3*p + 0*d - d = 17, -4*p - 4*d - 4 = t. Solve p = -a*l + 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 983 - 530. List the prime factors of j.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 7*w**2 - 6*w - 13. Let s be i(8). Let h(k) = k**3 - 3*k**2 + 2*k - 3. Let o be h(s). Let z(v) = v**2 - 8*v + 9. Let c be z(6). Does o = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*c + 12 = 0, -2*c + 0*c = 4*j + 4. What is the units digit of 8 - 0*j\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 1. Let z(f) = -3*f**2 + 1. Let k(j) = 2*u(j) + 2*z(j). What is the second derivative of k(a) wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/111 and -56\/9.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (1 - -7)) + 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/(-21))\/((-1)\/3). Which is greater: h or -2\/181?\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -18*s + 1 + 4*s**2 + 9 - 2 + 0*s**2. Is m(8) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 579 and 1002442.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -333 * -243.\nAnswer: 80919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 28 = -6*j. Let i(d) be the third derivative of 4\/3*d**3 + 0*d + 0 + 0*d**4 + 1\/12*d**5 - j*d**2. Differentiate i(f) wrt f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33890 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13074810 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8671049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1479120 divided by 6.\nAnswer: 246520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 - -90. Suppose 1534 = 4*f + 3*c, z*f + 2*f + c - 766 = 0. Let l = f + -199. List the prime factors of l.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9\/28 + -1\/14. Put 1, -0.4, l in ascending order.\nAnswer: -0.4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 - 47. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -2. Calculate the remainder when -26*(z - 25\/5) is divided by (-65)\/(-7) + (-2)\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 108591, 108583, 108561, 108519, 108451, 108351?\n\"Answer: -h**3 - h**2 + 2*h + 108591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 14. Let p be m(8). Let c(b) = -b**3 + 2*b**2 + 5*b + 3. Let t(i) = -i**3 + i**2 + 4*i + 2. What is p*c(u) - 3*t(u)?\nAnswer: u**3 + u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 19*m**2 + 19*m - 15. Let t be o(18). Let p be (-32)\/(-2)*27\/12. Let f = p + t. What is the remainder when f is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a microsecond in nanoseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3\/6 - 21559*k**2\/2 - 129361*k\/6 + 64679\/2 = 0. What is k?\nAnswer: -3, 1, 64679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187885939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-8)\/20*(34 - 14) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.0715 - 3.08. Let t = y - 0.0453. Round t to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 7*k = 2*k + 35, -301*d - 14 = -5*k + 3*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-120)\/(-12))\/(-130)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1072, 1932, 2792, 3658, 4536, 5432, 6352, 7302?\n\"Answer: h**3 - 6*h**2 + 871*h + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r**3 + 4*r**2 + 25*r - 41. Let n(j) = 6*j**3 - 2*j**2 - 13*j + 20. Let q(y) = -5*n(y) - 3*u(y). What is the remainder when 88 is divided by q(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by -4576599.\nAnswer: 86\/4576599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24168979, 24168981, 24168985, 24168991, 24168999?\nAnswer: 24169009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 1:16 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1347 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -2*sqrt(320))**2 + (sqrt(35)\/sqrt(112))**2 + 4.\nAnswer: 5189\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 959729353 to the nearest integer?\nAnswer: 30979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**7\/3360 - 7*i**6\/1440 - i**5\/32 - 3*i**4\/32 + 4*i**3\/3 + i. Let r(z) be the second derivative of f(z). Factor r(p).\nAnswer: -(p + 1)*(p + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i + 4*i)*(1 + 10 + 6)*(-6*i - 57*i - 328*i).\nAnswer: -6647*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1548705*i**3 + 316*i**2 + 21*i + 1.\nAnswer: 9292230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10984 and 3981700?\nAnswer: 7963400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 5, -0.3, -0.22, 73 in decreasing order.\nAnswer: 73, 5, 0.05, -0.22, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65970 - 1937. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*c**4 - 22*c**4 - 4*c**3 - 3201*c + 3203*c + (3*c**2 - 4*c**2 + 0*c**2)*(5*c**2 + 11*c**2 + 2*c**2).\nAnswer: -49*c**4 - 4*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220090, -220066, -220042?\nAnswer: -220018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 at most 166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 7:35 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8631 is divided by 1716.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1269 and 6804?\nAnswer: 319788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.179 - 0.921. Let h = 0.6 - -0.8. Let l = d + h. Which is the nearest to 0? (a) l (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a micrometer in nanometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -687 + 1062. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j**3 - 925*j - 664. Let s(u) = -5*u**3 - 460*u - 332. Let i(b) = -4*r(b) + 9*s(b). Differentiate i(c) wrt c.\nAnswer: -3*c**2 - 440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -645, -709, -709, -615, -397, -25?\n\"Answer: 5*t**3 + 2*t**2 - 105*t - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5197 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvvbzhzg. Give prob of picking 2 v, 1 g, and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 10*l**2 - 51*l + 338. Determine k(10).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 45*c. Let h(b) = -348517*b. Calculate z(h(t)).\nAnswer: -15683265*t","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4658 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*u*y - 29*g**3*y - g**2*u - g*u*y - 7*u*y + 10*u wrt g?\nAnswer: -12*g*u*y - 174*g*y - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 468810 divided by 15627\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10730 - 2176. Does 26 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 k when three letters picked without replacement from krrkq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -cc22c?\nAnswer: cc230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 104?\nAnswer: -da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.6, -0.5, 71, 2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14399*f + 0 + 6 = -14393*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 170 = -740*t + 747*t - 185, 2*t = -0*t - 5*r + 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**3 + 3*d**2 + 12*d. Let t(n) = 2*n**3 - n**2 - 4*n. Give -2*o(l) - 7*t(l).\nAnswer: -4*l**3 + l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 7:13 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-74)\/6 - (-3)\/9. Let i be 11\/((2\/(-2))\/1). Let b = i - a. Solve b = -g - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 h, and 1 o when three letters picked without replacement from {b: 1, h: 1, u: 1, o: 2, y: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30825 and 21235.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-95)\/(-63) - (-16)\/(-56)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and (1\/3)\/((-7)\/(-126))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 41*f**2 - 46*f - 167. Suppose -6886*z - 840 = -6866*z. Give s(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*1\/(1\/(-20)). Suppose -20*h - 655 - 465 = -48*h. What is the highest common divisor of h and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -82*k + 27*k + 14*k + 28*k. Let i(h) be the second derivative of 5*h**4\/12 - h. What is b(i(w))?\nAnswer: -65*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17589571?\nAnswer: 223, 78877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -21, -33, -39, -33, -9, 39, 117?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5 + 40*o**4 + 80*o**3.\nAnswer: 5*o**3*(o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 7*f - 7648. Let t = 1382 - f. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 3*w**2 + 4*w + 9. Let l be m(4). Suppose a - l = -3*q + 5, 0 = -q. Solve -y - 3*u = -3*y + 11, -2*y - a = 2*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-77)*((-27)\/(-6) + -1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 581.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 63, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - z - 47, -5*i + 0*i + 125 = 5*z. Let n be i\/16 + (-16078)\/(-76). Let k = n - 213. Is k smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661958321 is divided by 201?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q. Suppose q = -i + 6 - 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -301569743*u**4 + 13019863*u wrt u.\nAnswer: -3618836916*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 - 4102629*q**2\/2 - 8205261*q\/2 - 4102631\/2.\nAnswer: (q - 4102631)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26d (base 15) in base 10?\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/11)\/((-106869)\/(-111958)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 25 = 0, 3*y + 185 = -5*n + 216. Solve -2*f = y*p, -p = -2*p - 2*f - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -1\/265, 4\/9, 3506?\nAnswer: 3506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p**3 + 2*p**3 - p**3)*(4 + 0 - 3)*(-3 + 3 + 4*p**2) + (-p**5 - 2*p**5 + 0*p**5)*(-5 - 2 + 0) + 3*p**5 - 3*p**5 - 2*p**5.\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t. Let b be v(6). Solve b = -y - 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -210, -0.5, -4, 5?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 3321 = -8929. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 33, 35, 39?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 + 88.6. Let m = 5.403 + r. Let s = m + -0.002878. What is s rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8404179 = -2104*f + 2125*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 766 - 712. Is 54 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138003 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 17*n**4\/4 - 4*n - 1335. Let a(s) = 18*s**3 - 3. Calculate -4*a(c) + 3*m(c).\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -76. Which is the biggest value? (a) -3 (b) 4\/3 (c) 4\/7 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 4*t + t)*(2*t - 8*t + 15*t)*(2 + 3 - 7 - 2*t).\nAnswer: 36*t**3 + 36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaadaadd. What is prob of picking 4 a?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -25. Suppose -1306 = g*p + 886. Let w = p - -850. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 497 and 604723.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 2*q)*(20 + 20 - 18) + 2*q - 5*q + 8*q - 3 + 3 - 2*q + (3*q + 0*q - 5*q)*(1 + 1 + 0) + 1 - q - 1 + q + 0*q - 6*q.\nAnswer: 37*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.7 (b) -0.2 (c) 16 (d) -0.7929 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, -47, -121, -215, -323, -439, -557?\n\"Answer: x**3 - 19*x**2 + 2*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 203 = 4*a. Let b = a + 48. Let r = b - 69. Calculate the lowest common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - 8*c**2 + 2*c + 12. Suppose 0 = 3*k - 23 + 8. Let q be u(k). Suppose -t + 16 = t. What is the highest common factor of t and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(-2\/5)\/v))*v*v*v\/v**10)**(1\/4)*((v*v**(-3)*v)**(2\/9))**(-42) assuming v is positive.\nAnswer: v**(217\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*o = 57*o + 4*k - 24, -k + 32 = 4*o. Solve -1031*a + 1023*a = -o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268322 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -98*j**2\/11 - 10024*j\/11 - 256328\/11 = 0?\nAnswer: -358\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2304058 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5103, -11029, -16955?\n\"Answer: -5926*h + 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -84634, -84635, -84636, -84637, -84638?\n\"Answer: -p - 84633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 1261*l + 5028.\nAnswer: (l + 4)*(l + 1257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/8))**(-27\/2)*(d**(-1))**(-47) assuming d is positive.\nAnswer: d**(833\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1206 - -3420. Suppose -19*i = -x + 390. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a, -4*n + 328 = 2*a - 0*a. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22277, 2\/23, 2?\nAnswer: -22277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(21*q + 12*q + 12*q)*(0 - 2 + 0)*(0 + 1 - 3) in the form x + z*q and give z.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-1\/3))\/o)\/o)**(-46)*(o**(2\/9))**24 assuming o is positive.\nAnswer: o**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s - 976 + 2476 = -116*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73934 - -301841\/4. Let g = 1512 - a. Let i = -14 - g. Put i, -2, -4 in descending order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.4 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 22195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-12))\/((-6)\/16) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842*c + 55162 + 29880 = 0 for c.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 11*o - 6. Let t be j(-8). Calculate the remainder when (-10 + 3)*(-5 + -2) is divided by (t\/(-4))\/((-1)\/2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-2244))\/(27\/198).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 965700 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 617c4 - -124?\nAnswer: 618e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 12. Let h be (-4)\/16 - (-18)\/r. Solve z = h*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.99*0.05164\nAnswer: -0.4642436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 6\/23 (b) 0.1 (c) -0.5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24953209.024 plus -0.3?\nAnswer: 24953208.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 + 149*g - 68. Let f be z(74). Let b be 208\/(-156)*f\/(-4). What is h in -4\/5*h**4 - 48*h**b + 52\/5*h**3 - 256\/5 + 448\/5*h = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1820*96\/(-2400))\/(-28).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*189.807612.\nAnswer: 5.69422836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004101937 to five dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**5*k - 142*d**3*k**3 + 476*d**3 + 245*d**2 - 11*k**3 - 5*k**2 - 17*k wrt d.\nAnswer: 240*d**2*k - 852*k**3 + 2856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzrrzzrrrrzr. What is prob of sequence rzrr?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -346*t**3 + 496 wrt t.\nAnswer: -1038*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 18*l**2 + 9*l + 363. Let y(r) = 3*r**2 + 2*r + 3. Calculate -a(b) + 5*y(b).\nAnswer: -3*b**2 + b - 348","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*160\/12. Suppose -4*f = -7*f + 57. Suppose f + 1 = 5*d. Solve -5*q + d*x - n = -q, -4*q + x - 11 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or -15777175?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 3.6. Let p = 3.71 - s. Let q = p + -0.32. Which is the second biggest value? (a) 2\/9 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Let n = -167 - -169. Let z(c) = -n*c - 152 + c**3 + 152 - c**2 + 3*c. Calculate z(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/42*12\/(-2). Suppose -h + 3 = 0, -n*x + 2*h = -0*x - 2. Calculate the lowest common multiple of 14 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*6\/60)\/(24\/(-80))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-22) - (-46)\/11 and 29\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**3 - 1 + 1)*(7 - 15 - 12).\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 877.1696285048?\nAnswer: 877.0696285048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.3. Let m be (-1)\/2*(-1 - -1). Let c be 2\/(-6) - (-66)\/306. What is the nearest to m in t, -5, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(38\/(-5) - -5).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (6 + (-3 - 1) - (-13 + 12)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1092902*a**3 - 53*a**2 - 4120.\nAnswer: -6557412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38541 + 59*l - 3*l**2 + 38541 to w + y*l**2 + b*l and give b.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 587 - 343. Let j be (3 + -10 + 4)\/(18\/2286). Let c = v - j. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -30*g - 150. What is the remainder when m(-32) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(14 - 8*o - 14) - 2*o + 4*o - 3*o)*(-5 + 1 + 3)*(4*o**2 - 4*o**2 - 4*o**3).\nAnswer: 60*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 746*i - 72364. What is c(97)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*u**3 - 41*u**3 + 82*u**3)*(5 - 5 + u).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 30 = 10. Let s = g - 4. Calculate the remainder when 10 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r + 471 = 0. Let h(p) = r - 2*p**2 + p**2 - 471. Let a(j) be the second derivative of 5*j**3\/6 - j. Determine a(h(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(275) - sqrt(11) - sqrt(11)) - sqrt(21))\/(sqrt(847)*-2).\nAnswer: sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) + 148264492\/(-252). Let f = -590235 - d. Let l = -1881 - f. Find the common denominator of l and 29\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 + 9*h + 4. Let t(z) = 4*z**2 + 10*z + 3. Let i(p) = -3*c(p) + 2*t(p). Calculate i(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(147) - (1*sqrt(147) + 5)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -1\/2*t**2 + 6*t - 38. Let i(z) = -z + 13. Determine -6*i(c) + 13*w(c).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, p: 7, d: 2}. What is prob of picking 1 d, 1 p, and 1 r?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 5*v + 5. Let l be x(-3). Let y(q) be the second derivative of q - l*q**2 + 0 + 1\/2*q**3. Differentiate y(z) with respect to z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3*b*p + 45498*a**3*b - 909787*a**2*b*p + 2*a**2*b + 2*a**2*p wrt a.\nAnswer: 24*b*p + 272988*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404, 1328, 2772, 4736, 7220, 10224, 13748?\nAnswer: 17792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1542917 rounded to the nearest ten thousand?\nAnswer: -1540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 250*d**6*q**2 - 5*d**3*q**3 - 3*d**2*q**3 - 44*d**2 wrt d?\nAnswer: 30000*d**3*q**2 - 30*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 - -9 - (-144 + 1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*w - 230 wrt w?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 475.9201 millennia?\nAnswer: 5711041.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 54 = 36 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 17*m + 4. Let x(k) = 50*k + 11. Give -11*j(w) + 4*x(w).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 6*c**6 + c**3\/3 + 50. What is the third derivative of l(j) wrt j?\nAnswer: 2160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -1)*(165\/10)\/11. Let d(r) = -3 - 6 + r**2 - x*r + 2*r + 3*r. Let k be d(-4). Sort 3, 5, k, 2 in increasing order.\nAnswer: k, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n + 0*n + n**3 - 2*n + 3*n**2 - 2. Calculate s(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by 49151\nAnswer: -59\/49151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -8*x + 0*x**5 + 0*x**3 + 9\/2*x**2 + 0 - 1\/6*x**6 + 0*x**4. Differentiate y(c) with respect to c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*h = 5*b + 497*h - 48, -4*b - 5*h - 60 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 6 = -2*g + 7, 4 = -4*h. Let z(k) = k**3 - 5*k**2 + 4*k. Calculate z(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o = 20*o - 12*o + 712 + 688 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110000 + 2332010?\nAnswer: 3102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44943543?\nAnswer: 3, 311, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 7030000 to the nearest one hundred thousand.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24373, -24372, -24371, -24370?\nAnswer: -24369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(22)*3 - sqrt(22)))\/(sqrt(14)\/(sqrt(35)\/sqrt(5))) - ((sqrt(110) + sqrt(110) + 6*(sqrt(110)*1 + sqrt(110)))\/(sqrt(80)\/(sqrt(8)*2)) + 5).\nAnswer: -30*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 c, and 1 x when three letters picked without replacement from yycxebybccqc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1905163622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12)*-10*(-1)\/5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -464, -5, 30, 2, 1 in ascending order.\nAnswer: -464, -5, 1, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001100100010 (base 2) in base 9?\nAnswer: -44378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80 in 21, -0.2, -0.8?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6418 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 7*g + 3. Let f be p(7). Suppose 11*w = 12*w - f. Let s = -16 - -18. Solve 0 = 4*x - i + 11, -12 = s*x + 3*x - w*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 50 - 20 = 0. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - d + 20, -d + 16 = -3*c + 4*d. Let z(u) = 4 + c - 7 - 9*u**2. Let v(n) = n. Determine v(z(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6*(-4)\/8*26\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -2. Suppose -4*o + 28 = 3*i, 0*i - r*i + 2*o + 4 = 0. Suppose 8 = 6*u - 4*u. What is the greatest common factor of u and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-3)\/(-12))\/((-4)\/2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**3 + 15*h**2 - 20 = 0 for h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 856, 854, 852, 850, 848?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from epeeypye.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55627?\nAnswer: 11, 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 + 126. Let t = -9.6 - -9.6. What is the closest to k in 4, -4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -8, 35, 116, 247, 440?\n\"Answer: 2*i**3 + i**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 4 - (5 - 6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.7. Let i = 70 + -491\/7. Suppose -j = -3*d - 2, 0 = 3*j - 0*j + 5*d - 20. What is the nearest to 0 in i, t, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 2*p - 7. Calculate the smallest common multiple of w(-5) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a. Determine r(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -2\/11, -3, 1, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25.4834 * -0.024.\nAnswer: 0.6116016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -687, -1370, -2053, -2736, -3419?\nAnswer: -4102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -546154*l**2*w**3 - l**2*w**2 - 3*l**2*w + 2*l**2 - 210*l + 48*w wrt w?\nAnswer: -3276924*l**2*w - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3.4. Let j = 0.9 - u. Which is the third biggest value? (a) 0 (b) 0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/10 - (-2)\/5. Let q be 2 + f - (-45)\/(-39). Let w be -39 + 29 - 138\/(-12). What is the second biggest value in w, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 0 + 0\/(-3). Suppose 3*b = -p*b + 39. Suppose 0 = 5*v - 6*v + b. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 = 43*m - 38 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 283353.1515 to the nearest ten.\nAnswer: 283350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.35 + -0.25. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*2*-2*(-422)\/(-24). Let y = 212 - o. Suppose -2*r = r - 18. What is the lowest common multiple of y and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 555 and 1590?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12 = y, -3*y + 113 = -5*w. Let j(v) = v**3 + 18*v**2 - 21*v - 45. Give j(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s - 4*n + 20, 90 = 3*s - 3*n. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 4*k + 5. Suppose -3*c + 11 = -2*p - 2*p, 16 = -2*c - 2*p. Let a(g) = g**3 - 2*g - 3. Determine c*j(f) - 5*a(f).\nAnswer: -2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 943289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**6\/18 + 2*g**5\/15 + g**4\/4 - 4*g**3\/9 - 2*g**2\/3 - 61. Factor t(y).\nAnswer: -y*(y - 2)**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 120017491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, 5, 42, 115, 236, 417?\n\"Answer: 2*c**3 - c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1 - 2) + (-13 - -17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56501062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + d?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swaju. Give prob of sequence aws.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(30) + (sqrt(120) - sqrt(30)))*-5)\/(sqrt(36)\/(sqrt(6) + sqrt(18)\/sqrt(3))) - (2*sqrt(605) + 2 + (5*sqrt(80))**2 + 4).\nAnswer: -2007 - 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 210682973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11*r - 1. Let i be (-5)\/3 - (-4)\/6. Determine w(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-9)\/(-6)) + (-9)\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:45 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 160854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2\/2 - 21*i\/2 + 2 = 0. Calculate i.\nAnswer: 1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58830.6768 rounded to the nearest 10?\nAnswer: 58830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.672293 milliseconds in days?\nAnswer: 0.0000007137996875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7076*m - 71266. Give s(10).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 200?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 608246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*u + 404*u + 57*u = -7272 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -63. Let m = f - -28. Suppose m*r - 3*r - 4*r = 0. Solve r = -q + 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-8624)*-24*86\/(-129)*63\/(-6).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 575335*b + 115440330.\nAnswer: 5*(b + 201)*(b + 114866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:52 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8286940990 to the nearest 1000000.\nAnswer: 8287000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wk when two letters picked without replacement from {k: 2, l: 1, e: 1, x: 1, a: 2, w: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 11. Suppose 0 = 2*b - u - 2*u + g, 0 = b + u - 2. Suppose -2*s + 49 + 43 = b. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3814545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(1\/(-4)*(-31 + 15)\/48). Suppose 0 = 2*a + 4*k - 48, 5*a + 3*k = -2*k + 140. Calculate the highest common divisor of a and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 166 = -3*c + 4*w, 88 = 2*c + 3*w. Suppose 4*q - c = -3*v, 0*v + 5*q = 2*v - 64. Calculate the greatest common divisor of v and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -47, -152, -361, -710, -1235, -1972?\nAnswer: -2957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**3 - 4*f**2 - 3*f. Suppose 0 = -w + 3*w - 2. Let c = -1 - w. Let s be j(c). Solve -3*v - 2*m + s = 4, -4*v - 15 = -3*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 2*g + 2*g)*(-12 - 5 - 1) as d + w*g and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168\/5 - 33. Let n = -323\/218 + -2\/109. Which is the closest to n? (a) z (b) -3\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3948 and 167916.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-12) - 9\/(306\/(-425)). Factor -1\/2*z**2 - 5 - h*z.\nAnswer: -(z + 20)*(2*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179 - -183. Suppose -4*j + 8*x = g*x - 5580, 7003 = 5*j + 2*x. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13883312 divided by -4.\nAnswer: -3470828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3 = 1, 3*w + 3*r + 12 = 0. Let q = w - 0. Let c be 5\/(-2)*104\/65. Put 3, q, c in descending order.\nAnswer: 3, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5 = 3. Suppose x = 3*x - v. Solve 2 = -a + x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - sqrt(91)*-2*3) + sqrt(91))*-1)\/(sqrt(1008)*1*-6).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263064442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/195 and -64\/45.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**3 - 10*f**2 - f. Let y(z) = -3*z**3 - 3*z**2. Calculate -2*v(q) + 7*y(q).\nAnswer: -3*q**3 - q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1221 and 2652493?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.046*-2.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 86. Let q = 0.1622 - 70.2622. Let i = t - q. What is i rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2) - sqrt(2)*2) - -3*sqrt(128))**2.\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 1. Let s(y) = 16*y**3 - 3*y**2 - 5*y - 10. Let a(u) = 3*u**3 - u**2 - u - 2. Let b(f) = 11*a(f) - 2*s(f). Determine 2*b(m) - 5*c(m).\nAnswer: 2*m**3 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -30. Suppose m + p = -8 + 5, g = 2*m - 5*p. Suppose m = -5*a + 428 + 117. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z + 8. Let k(p) = -p + 1. Give f(c) - 8*k(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2481637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + u**3 + 3 + (-u**3 + 0*u**3 - 19*u**3)*(-3 + 3 + 3) + 3 - 3 - 2*u**3 as f*u**3 + s + y*u + i*u**2 and give f.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561*i = 4*c + c + 562*i - 35, 3*c - 21 = 11*i for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -240.4 + 240.9. What is the second biggest value in -0.3, 7, 3, t, 9\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 4:48 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -5*z**3\/3 - 71*z**2 + 2*z + 450. Determine g(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (-26)\/(-14))\/(72\/(-126)). Which is the closest to -2\/5? (a) m (b) -5\/2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2809*j - 11935*j = -647946 for j.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.08 - -0.08. Let n = -1944 - -1944.03. What is the closest to b in -0.08, n, 0?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 8*b + ((-1 + 2 - 2)*(7 + 3 - 1) + (-1 + 4 - 4)*(-1 - 2 + 2))*(b + b + 0*b)*(3 + 0 - 6).\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o + o - 2*o + (-3 + 1 + 0 + (3 - 2 + 1)*(-1 + 2 - 3))*(0 + 0 + 2*o)*(-263 - 92 + 94) to the form z*o + t and give z.\nAnswer: 3134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 8) to base 14.\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 36 = 30*a - 27*a, 4*a + 3*p = -26 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -130190, 5, 0.2, -2, 0.431?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51041369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42*(-51)\/9282)\/(2\/(-26)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 47 in increasing order.\nAnswer: -5, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.8522 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 183695458 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -5 (c) 2 (d) -0.2 (e) 13\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3332559?\nAnswer: 3, 641, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 12 = 2. Solve 3*z + l = -13, 7*z = p*z + 3*l - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.04, 5, -1\/3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**2 - 20210*w - 16869600 = 0. Calculate w.\nAnswer: -710, 4752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i**2. Let c(f) = 5*f - 5. Give y(c(l)).\nAnswer: -150*l**2 + 300*l - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/9)*o\/(o**(-3\/8)*o)*o**(-2\/7)*o*o**(-2\/9)\/o)**(-31\/4) assuming o is positive.\nAnswer: o**(341\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 366156527.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 421271 and -0.1408?\nAnswer: -59314.9568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 21*g - 5. Let d(u) = -32*u + 7. Let x(l) = 5*d(l) + 7*m(l). Let p(q) = q. Give p(x(w)).\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**3 + 1283 + 0*p**2 - 6*p**2 - 1282 as i*p**3 + m + x*p + l*p**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3435, 6886, 10337, 13788?\nAnswer: 17239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*i + 3, -3*i - 2*r = -4 + 3. Let t be i*144\/(-3) + -1. Let l = 47 + t. Is l less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 6 = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4 - 3 + 14*u - 42*u + 3. What are the prime factors of p(-6)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 6.3. Suppose -33 = -32*t + 43*t. Let k be 2\/((-5)\/((-20)\/28)). What is the closest to t in k, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 234 + -109. Let i = -89 + k. Let x = -38 + 57. Calculate the remainder when i is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -15*j**3 - 5*j + 81 - 82 + 8*j**3. Let d(p) = 4*p**3 + 3*p. Let o be ((-12)\/6)\/(4\/10). Give o*d(y) - 3*c(y).\nAnswer: y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*s**2*t**3*z + 324*s**2 - s*t**2*z + 2*s*t + 4*s*z - 18*t**3*z - 2*t*z + 2*z wrt t?\nAnswer: 126*s**2*t*z - 2*s*z - 108*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8622 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 4*p - 2*p**3 - p - 4*p**3 + 3*p**3 + 0*p**3 + (4 - 5 + 3)*(-4*p**3 + p**3 + 4*p**3) + 3956*p**3 + 3387968 - 3387968 + 3*p**3 + 2*p**3 - 4*p**3.\nAnswer: 3956*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + 2 + 4 - (-149 - -181)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131\/2 + 64. Suppose 4*f - 4*v - 11 = 5, -2*v - 20 = -5*f. Which is the second smallest value? (a) -0.4 (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**3 + 4*f**2 + f. Let a(p) = 4*p**3 + 3*p**2 + p. Give -7*a(j) + 5*k(j).\nAnswer: 2*j**3 - j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 0. Let w be 66\/9*u\/4. Let x = w + 7. Let d(f) = f**2 + 5*f + 3. What is d(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 15*a + 16. Let b be z(-8). Suppose -5*c + 40 = -3*c. Is (-1057)\/(-5) - b\/c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 times 2\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gguu when four letters picked without replacement from uugggugggugguuguuuu.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2. Let t(w) = 30414*w**2. What is t(k(d))?\nAnswer: 121656*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -25.91. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 3284\/671?\nAnswer: 3284\/671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rssssdsresssssrer. What is prob of sequence erd?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2. Let v(s) = -33*s + 2. What is g(v(n))?\nAnswer: -2178*n**2 + 264*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6 less than -26.2?\nAnswer: -29.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 12:00 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 + -43 + 2 + 21)\/2 + 21.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/8)\/((t\/t**(1\/7)*t)\/t)*t\/(t*t**(-3)*t)*t\/t**(-5) assuming t is positive.\nAnswer: t**(393\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.84837093 rounded to 3 decimal places?\nAnswer: 3.848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**5 - 255*z**4 + 245*z**3 + 255*z**2 - 250*z = 0?\nAnswer: -1, 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-5)\/a)*a*a\/(a\/(a\/((a*a**(1\/32)*a)\/a)*a)))\/((a\/(a*a**(-2\/11)*a)*a*a)\/a*a*a**(-1\/54)))**2 assuming a is positive.\nAnswer: a**(64679\/4752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517578 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (158*j - 324*j + 142*j)*(-1 + 6 - 4).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -189.311.\nAnswer: -946.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 38. Suppose 9*q + 2 = 2. Solve 3*t + 2*l - p = q, 3*t + l - 9 = 4*l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1568 divide 50482299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0 - c**2 + 0 - 1)*(-11*c + 12*c + 122*c).\nAnswer: -123*c**3 + 123*c**2 - 123*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.9, 0.4, -0.05 in descending order.\nAnswer: 0.4, -0.05, -5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3029 divide 118919634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 14*n**4 - 440*n**3 + 3328*n**2 + 2048*n = 0.\nAnswer: -4\/7, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viiv when four letters picked without replacement from iiiivv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 + -6 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*y = -334 - 163. Calculate the smallest common multiple of 1345 and y.\nAnswer: 9415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -564*b**5*i - 106454*b**3*i + 2*b**3 + 3827462*b**2*i - 26*i wrt b.\nAnswer: -33840*b**2*i - 638724*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-7))\/(6\/21). Suppose -z*r + 3*q + 91 = -38, 0 = 3*r + 4*q - 219. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2510\/38181?\nAnswer: -2510\/38181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -25*u - 2. Is a(-2) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*c + 1026 = 0, 15*w - 13*w + 3*c - 418 = 0. What is the common denominator of -4 - (4 + -5) - w\/(-16) and -85\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 18 = 0, 259 - 297 = -2*u + 5*y. Let i(m) be the second derivative of -m**4\/12 + m**3\/6 + 4*m**2 + m. Give i(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(9\/3*3\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 - i**3 - 5*i**3)*(-2 + 2 + 2) - i + 2*i**3 + i - 5*i**2 - 2*i**3 + 5*i**2 - 2*i**3 - 6*i**3 + 3*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 7187044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/18*-6)\/(7\/21). Suppose 50 = d*h - 5*x - 305, -280 = -3*h + x. 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 v be 2088\/(-3) + -1 + 1. Let n be -2*2\/(-8)*v\/(-1). Suppose 2*f - n = -4*f. Calculate the highest common factor of f and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 144. Let c = 103 + i. Let n(l) = 119*l**2 - 2*l + 1. What is the hundreds digit of n(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5\/(-15)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-156*o + 157*o + 19 + 0)*(-o - o + 4*o) to the form n*o + m + k*o**2 and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71633195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/87490 and 11\/10481302?\nAnswer: 52406510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9*w = 20, 36 = m + 2*w. Suppose 38 = 2*v + m. What is the derivative of -5 - 2*d + 1 - d + v*d wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32412 or -1.9?\nAnswer: 32412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - t**4)*(-9803 + 14689 + 14575 + 3167) to the form n*t + y + w*t**4 + o*t**3 + m*t**2 and give w.\nAnswer: -22628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 10\/13, 5, -1, -5?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4836 and 700476?\nAnswer: 9106188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaqxker. What is prob of sequence eq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 23 = x, -5*x = -0*x + 25. Let y = -12 - w. Let z = y + 6. Solve 3*f = -z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 103 and 2333.\nAnswer: 240299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -107?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4386498835800 - -5\nAnswer: -4386498835795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 17*c - 46. What is y(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10*g - 205. Let t be n(31). What is the first derivative of 3*p**2 + 38 - 212 + 9*p**3 + 0*p**3 + p**2 - t wrt p?\nAnswer: 27*p**2 + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(sqrt(612) + (sqrt(612) - (1 + sqrt(612))))*4.\nAnswer: -13 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-4)\/(-8)*-46. Suppose -4*v = 5*j - q, -v - 3*j + 18 = 8. What is the third derivative of -3*t**2 + v*t**2 + 3*t**5 + 2*t**2 - 2*t**2 wrt t?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 6410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 3*w + 46, -2*a = -0*a - 3*w + 673 - 617 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 q, and 1 n when three letters picked without replacement from {u: 1, q: 2, j: 1, v: 1, n: 1, e: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3046238071*p + 3046238069*p - 2.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(7\/21*30\/((-12)\/(-2))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**10*a*a\/(a**(-1\/11)\/a))\/((a\/a**(-3))\/a)**(-7\/12))**(-1\/37) assuming a is positive.\nAnswer: a**(-697\/1628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/236 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2381415 is divided by 50.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 - 2*r**2 + 2. Let v = 14562 + -14551. Let x(l) = -14*l**3 + 10*l**2 - l - 11. Determine v*b(p) + 2*x(p).\nAnswer: 5*p**3 - 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*i - 4. Let n(c) = c**i - 7*c - 1 + 5*c + 6. Let m be n(0). Solve 5*t - 2*w = -13, m*t + 0*w = -w - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 25*j**2 + 138*j - 32. Let l be o(17). Solve -4*n + 20 = -l*g, 0*n = 3*g - n + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 6*y**2 - 438727*y**3 + 2*y**4 + 438727*y**3 + 26*y to h*y + p*y**3 + a*y**4 + l*y**2 + i and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b**2 + 19. Let j(d) = 4*d**2 + d - 9. Calculate 5*j(h) + 2*n(h).\nAnswer: 2*h**2 + 5*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(200\/(-3))*2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*n**3*u**2 - 45*n*u**2 - 623*u**2 wrt n?\nAnswer: 33*n**2*u**2 - 45*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231467, -462933, -694399, -925865, -1157331, -1388797?\nAnswer: -1620263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 5*x**3 - 3*x**3 + 3*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1591127 is divided by 2952.\nAnswer: 2951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (94 - 43) + -1.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -31. Let x be 2\/7 - a\/(-14). Is (105 + 1)\/((-4)\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -904*w + 909*w, -10*w - 16 = -6*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.043 * -392.\nAnswer: 16.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 + -2) - 2 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-28)\/(-49))\/((-74)\/(-7)). Suppose -3*j = -j + 2. Is c bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 5. Let p be k(5). Suppose d = -p*d. Suppose d = 3*b - 7*b. Put b, 1, -2 in descending order.\nAnswer: 1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - u - u**3 + 33*u**2 + 2*u**4 + 0*u**3 + 264*u**2 to the form m*u + s*u**4 + n + q*u**2 + j*u**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -217 + 219. Solve 0 = -4*f, 0 = 4*o + l*f - 1 - 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.27 - -747.73. Let c = w + -766.00000691. What is c rounded to 7 decimal places?\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*y = 162, 2*c + y - 4*y - 160 = 0. Suppose -6840 = -21*x - 51*x. Let u = x - c. What is the highest common divisor of 16 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 32*v = -19*v. Let l(f) be the first derivative of -f**3 + 0*f**2 + 0*f**4 - 3\/5*f**5 + v*f + 4. Find the third derivative of l(c) wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c + 2. Let k be j(3). Suppose 8*i - 43 = -k. Suppose i*o = 9*o + 3250. Round o to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -1, -46654?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**2 - 7*s + 1. Let h(t) = -14*t**2 + 13*t - 3. What is -5*d(u) - 3*h(u)?\nAnswer: 7*u**2 - 4*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160*k**2 + 3*k - 31 wrt k.\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 359\/17 + -21. Which is the closest to q? (a) -0.4 (b) 0.2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46664 is divided by 7738?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -133.\nAnswer: 66.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -7)*(-1 + (-1)\/3). Suppose -4*y - 55 + 16 = -5*j, -5*y - 21 = 3*j. Let n be 10\/25*(-15)\/y. Solve 3*h - n = p*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2668, -5286, -7808, -10216, -12492, -14618?\nAnswer: -16576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) + 15\/2. Suppose -3*f + 4 + n = 0. Let t(j) = j + 1 + f*j + 4*j - 2*j. What is t(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4083 + 2?\nAnswer: -4081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288620280 divided by 87620.\nAnswer: 3294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -44. What is the nearest to 0 in p, -3\/2, 11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.5 to the nearest integer.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g. Let x(k) = -1271*k + 496. Let w(y) = 31*y - 12. Let n(l) = -124*w(l) - 3*x(l). What is m(n(t))?\nAnswer: -93*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69.337 - -5.7366.\nAnswer: -63.6004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10797*q**3 - 2187*q**3 - 13308*q + 13308*q.\nAnswer: 8610*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - t + 3*t + 3)*(52 + 38 + 13 + 8) to the form a*t + z and give a.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maam when four letters picked without replacement from {m: 3, a: 5, f: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3 = -13. Suppose 2*n + i - 6 = 0. Differentiate -n - j + j - j**3 wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**8\/3192 + 2*r**7\/665 - r**6\/285 - r**5\/95 + 5*r**4\/228 - 98*r**2. Solve n(f) = 0 for f.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 5. Let i = 564 - 561. What is the hundreds digit of (-100 + i)*-2*j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 102, 382, 840, 1470, 2266, 3222?\n\"Answer: -y**3 + 95*y**2 + 2*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**2 + 3*j + 2. Let q be o(-4). Let t = -61 + q. Is t at most 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1 + 7)\/2. Let f(h) = 4*h**2 - 3*h + w*h**3 - 1 + h**2 - 3*h**3 + 5*h. Is f(-4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (493028\/(-18174))\/(-529) + -2*1207\/(-78).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1844112, 1844110, 1844106, 1844100, 1844092, 1844082?\n\"Answer: -o**2 + o + 1844112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:17 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (627 + -628)\/(35\/(-266)).\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722.769 kilograms in grams?\nAnswer: 1722769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 9*s**2 - 23*s - 5. Let t(z) = 2*z**3 + 18*z**2 - 41*z - 9. Let o(d) = 11*b(d) - 6*t(d). Calculate o(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1\/(-2)) + 3. Suppose 100 = f*i + 5*a, -5*i + i = -4*a - 96. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26146 + 39612. Is s a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**3\/6 - 4*g. Is y(-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2781.67 rounded to the nearest 10?\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + ((sqrt(405)*-2)**2*-1 - sqrt(405)) - ((sqrt(405) + 4*sqrt(405) - sqrt(405))**2 + -5) - (sqrt(3025)*-3)\/(1*sqrt(5)*-4 - sqrt(5)).\nAnswer: -8095 - 33*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 - 4*j + 4*j)*(5 - 2 + 0 + (-1 - 4 + 3)*(-2 + 1 + 0) - 1 + 0 - 2 + 712 - 119 + 442) - 4*j + j**2 + 4*j in the form o*j**2 + x + h*j and give o.\nAnswer: 2075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1033*b + 1030*b + 5*n + 28, -2*b - 3*b + 5*n + 40 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 4 - 0\/(-1). Suppose -4*k - 4*j = -k - 21, 0 = -5*k + 4*j + f. Let y = -0.0421 + 0.2421. What is the closest to -1 in -0.4, k, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152455151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-26) - (-5614)\/182. What is the highest common divisor of n and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - 0) + 17 + -18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/8470 and 101\/3080.\nAnswer: 33880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9877132m to kilometers.\nAnswer: 0.0009877132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 13*z**2 - 41*z - 1. Let x be b(-5). Solve -1 + 9 = x*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**10*d\/d**8*d\/((d\/(d*d**(-2\/11)*d*d)*d)\/d)*d\/d**5 assuming d is positive.\nAnswer: d**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*c + 48*c - 1 + 78*c + 49*c - 261*c.\nAnswer: -34*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**2 - 2 + 2 + (0*u - 5*u + 4*u)*(0*u + u - 3*u) + u**2 - 6*u**2 + 2*u**2 in the form y + n*u**2 + a*u and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216125746?\nAnswer: 2, 11, 5025313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 297*q**2 - 6*q + 5. Is w(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 5. Suppose -12 = h*s + 12. Calculate the remainder when (-39)\/2*4\/s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -634897\/22 + 28864. What is the common denominator of -83\/6 and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 6)*(-24*d**4 + 979*d - 24*d**4 - 987*d) to the form x*d + b*d**3 + t*d**4 + h*d**2 + r and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1368 + 1384. Calculate the greatest common divisor of 144 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)\/a*a\/(a**(-2\/17)*a))**(-6\/31)\/((a**(1\/4)\/a)**(1\/27))**(9\/4) assuming a is positive.\nAnswer: a**(3055\/8432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-6))\/(-5)*0. Suppose j = -2*r + 6*r + 57200. What is r rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 2*x - 2, -2*x = 3*p + 80 - 64 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + j - 24 + 11 = 0, 26*z - 718 = -44*z - 6*j for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203760.706 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 3, n: 3, j: 4, z: 3, e: 2}. Give prob of sequence nqe.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(2\/(-4) + 2\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j - 241. Let n be g(8). Let u(k) = -14*k**3 - k - 1. Let i be u(-3). Let l = n + i. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.28?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 43, 68, 113, 184, 287, 428, 613?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 95.6 in 2, 0.54, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448377 is divided by 470?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + 12*i - 38. Let g be a(9). Let z = -5 - g. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 154*q - 646 - 58 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 31*h - 85*h - 8*h - h. Let r(k) = -44*k**2. Calculate r(o(q)).\nAnswer: -180224*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3628)\/5442)\/(2\/((-8)\/44))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -567\/11 + 4442\/77. What is the common denominator of -42 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 a, and 1 q when four letters picked without replacement from flqfallfqlll.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 485186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82000000 = 18*d - 8*d. Round d to the nearest 100000.\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + 2621620?\nAnswer: 2621577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/72 and -41\/38667072?\nAnswer: 116001216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9*z)**(-29)\/(z*z**(-1\/4))**(3\/2) assuming z is positive.\nAnswer: z**(-2329\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*k + 3766 = -117*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22856039 is divided by 1797.\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-45)*2 + (-35965)\/1035 + (-12)\/414.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831803761.\nAnswer: 17, 631, 77543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9645 and 525405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*(-6)\/4 + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.16747 litres to millilitres.\nAnswer: 25167.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = -2*k, -4*t + 9 + 8 = -k. Suppose 7*w = k*w. Suppose -i + 60 = 2*m - 6*i, w = -2*m - 5*i + 100. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2 + (sqrt(425) - ((sqrt(425) - sqrt(425)*2) + -4)))*5*-2)**2.\nAnswer: -170400 - 4000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 2:37 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 6:26 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.023\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-2*n**2 + 4 - 4 + 2*n**3)*(-3 + 1 + 1)*(-13*n**2 - 11*n**2 - 27*n**2).\nAnswer: 306*n**5 - 306*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 3*x**2 - 2*x + 1. Let b be c(3). Let q = 268 - 235. Let m = b + q. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42721180*k**3 + 302012*k**2 + 10?\nAnswer: -256327080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -238 + 234. Let a(b) = -b**2 - 18*b - 20. Let k be a(-17). What is the nearest to -12 in v, k, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 - y**3 - 4*y**2 - 4*y**3 - 3*y. Let j(p) = -9*p**2 + p**3 - 6*p**3 - p - 6*p. Determine -3*j(u) + 7*v(u).\nAnswer: u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.31, -14, 0.47?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 273 - 83 = 0. Suppose 40 = t + 3*t. What is the highest common divisor of d and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -45 (b) -1\/8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, p: 3}. Give prob of sequence ip.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 443045 and 2140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 397*s**3 + s - 280. Let t(j) = -132*j**3 + 93. Let m = -196 - -203. Let l(p) = m*t(p) + 2*v(p). What is the second derivative of l(o) wrt o?\nAnswer: -780*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdiqiqdiqqidiqiddqii. What is prob of sequence di?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31.58 + 0.58. Let u = t - -31.02. Let v = u - -0.08. Which is the nearest to v? (a) -4 (b) 0 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.009 (b) 6 (c) -5\/19 (d) 0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghgn. Give prob of picking 1 h and 1 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlmtvtvlkllmmlll. Give prob of picking 2 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8245*l. Let n(q) = 9*q. Let u(d) = -2*n(d) + s(d). Let b(c) = -2*c. Give u(b(j)).\nAnswer: 16526*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -31. Factor -523 - g**2 - 7*g + 498 - a*g.\nAnswer: -(g + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4521 - 4505. Suppose 3*y - 14 = 4*w + 13, 4*y - 5*w - 37 = 0. Which is greater: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - 0.2. Let w = p - -0.6. Let o = 70 + -73. What is the nearest to w in -1\/4, 0.3, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 0.3, 0.5.\nAnswer: 0.3, 0.5, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -509*z**3\/3 - 43*z**2\/2 - 2*z + 654. What is the second derivative of x(n) wrt n?\nAnswer: -1018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -5 (c) 6 (d) 1720\/23 (e) 0.5 (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iynb when four letters picked without replacement from {y: 1, m: 1, i: 2, b: 1, n: 1, g: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/10))**(7\/12)\/((n**(3\/11)\/n)\/n*n\/n**(5\/7)) assuming n is positive.\nAnswer: n**(12781\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12717 = -10*i + 19*i. Suppose -22*v + i = -20*v + 5*b, -4*b + 12 = 0. List the prime factors of v.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/5)\/(8\/2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -2. Let v be -4*2 - 136\/(-18). Which is the smallest value? (a) 1 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29928, 59861, 89794, 119727, 149660?\n\"Answer: 29933*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 - 12*g**2 + 2*g**2 + 143 - 72 - 71.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*g - 21. Let b(j) = g*j + 0*j + 7*j**2 + 6*j**2 - 10 - j**3. Is 14 a factor of b(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -141*w + 148*w + 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*p + 66, 62 = u + 3*p - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 6*s**2 + 7*s - 3. Let a(n) = -n**2. Let z(l) = a(l) + u(l). Let f be z(6). Let r = 30 + f. What is the remainder when r is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 57 = -66 - 353. Solve n*o - 5 = 73*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*f - 4 = 0, 2*d + 3*f = -d - 24. Suppose -r + 17 = 26. Let w(t) = t**2 - 2*t. Let l(z) = 2*z - 2*z**2 + 2*z + 0*z. Calculate d*l(s) + r*w(s).\nAnswer: -s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 419*p**4 + 273*p**4 - 1146*p**4 - 3*p + 424*p**4 - 4368 + 408*p**4 with respect to p.\nAnswer: 1512*p**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -m - 2. Suppose m*z - 13 = 27. Let v be z\/28*49\/14. What is the second smallest value in v, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 bigger than 124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j**4 - 4*j**3 + 68*j**2 + 4*j - 60 = 0.\nAnswer: -3, -1, 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.847 + -0.172. Let x = -11.34486 + b. Let t = x + -0.33. What is t rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 6:53 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - w + 5 = 0. Suppose -p = -2*b - 814, 3*b - 1919 = -3*p + 559. What is the units digit of w\/7 + p\/21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 23*h**3 + 422*h**2 - 4660*h - 8. Let c(b) = -15*b**3 - 276*b**2 + 3106*b + 5. Let u(d) = -5*a(d) - 8*c(d). Find the second derivative of u(n) wrt n.\nAnswer: 30*n + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 258?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 + 2 = 0. Let k(s) be the second derivative of 2*s**3 - s**2\/2 - 2*s. Let n be k(z). Solve 3*w - n = 2*g, -4*w + 4 = 4*g - 0*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - u**2 + u - 1. Let f(a) = 88*a**3 + 77*a**2 - 77*a + 77. Calculate -154*c(y) - 2*f(y).\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 912 + -602.75. Let a = 309 - j. Does a = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 35 = -5*f + 3*x, f - x = -1. Let b(t) = t**2 - t - 9. Let s be b(4). Suppose y + 2*y - 2*o = 96, s*y = -f*o + 96. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3 - 1. Let y(v) = -v**2 + 6*v - 1. Let i be y(5). Suppose -7*c + 3*c = -i. Which is smaller: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28532 - -5?\nAnswer: -28526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(-5*l**3 + 3*l**3 + 0*l**3) + 55*l**3 - 38*l**3 + 79*l**3 as s*l**2 + z + g*l + h*l**3 and give h.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 3*o + 3*z, z - 35 = -o - 3*z. Let n(a) = o*a - 16*a - 10*a. Let h(c) be the first derivative of 3*c**2\/2 - 2. Calculate n(h(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*n = 10, -5*l - 4*n = -0*n - 22. Suppose -l*b = -3*b - 3*q + 2, -3*q + 7 = 2*b. Suppose -b*s + 0*s = -845. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99317 by -271.\nAnswer: 99317\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - -13 - (5 + -18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + b**3 + 106*b**4 - 38*b**4 + 92 - 40*b**4 - 32*b**4 as r*b**4 + y + s*b + l*b**3 + x*b**2 and give y.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000266166216 rounded to 7 dps?\nAnswer: -0.0002662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -602624801.961112 - -602627908. Let a = p - 3106. Let r = a - 0.039. What is r rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.0599, -2\/35, -1?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14507908 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yynjyyyyynynjyy. What is prob of picking 1 n and 2 y?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**2 + 15*a**2 - 9*a**2 - 2*a**2.\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 54*u - 23 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -534*w + 495*w - 2106. Let n be (-2)\/3 + 65\/(-15). Put w, 3, n in decreasing order.\nAnswer: 3, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16988 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1095 divide 7540170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*i - 20087 + 5263 + 5556 = -4705 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-30)*(-1872)\/(-416)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, u: 5}. What is prob of sequence ub?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from gtgatatat.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 0*d + 128*d**2 + 207*d**2 - 202*d**2.\nAnswer: 133*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 807340 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26599 is divided by 380?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 347\/7. Let m be ((-4)\/(-27))\/((-4)\/6). Let p be 2\/3*(0 - 9)\/(-27). Which is the nearest to u? (a) m (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (189\/1134*2\/2*2)\/(79\/3)\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (-20 + 46 - 11).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/4)\/w**(-6))\/(w**(-1\/4))**(5\/8)*w**(-2)*w**(-4\/7)*(w\/w**(-1\/2))**(2\/87) assuming w is positive.\nAnswer: w**(18639\/6496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 24, -2, -22 in ascending order.\nAnswer: -22, -4, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyyy when four letters picked without replacement from yaysaaaylgssalfaala?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 91*g**6\/6 + 21*g**2 - g - 10. Find the second derivative of d(h) wrt h.\nAnswer: 1820*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 90 = 4*v. Let a be -3*5\/(v\/(-4)). Suppose 2*h = 24 - a. What is the remainder when h is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 256 - 255. Sort 20, -2, a in ascending order.\nAnswer: -2, a, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.20469*12988\nAnswer: 2658.51372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157237 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1271*r - 294 wrt r.\nAnswer: -1271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-24))**(-1\/32)\/(n\/n**15)**(-4\/9))**33 assuming n is positive.\nAnswer: n**(-2167\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -35073379 and -35073379 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -31, -63050 in increasing order.\nAnswer: -63050, -31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 1. Let o be (0\/u)\/((-2)\/2). Let -2\/5*b**2 + 2\/5*b + o = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 6056379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 7 + 49\/4*c**3 + c**2 + 0*c - 1\/80*c**6 - 35\/16*c**4 - 13\/40*c**5. Factor l(f).\nAnswer: -3*(f - 1)*(f + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*w + 97 - 43 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 19 (b) -4 (c) -4\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 338336657 to the power of 1\/2, to the nearest integer?\nAnswer: 18394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -325*y + 326*y - 94, y - 4*z = 44. Let f = -119 + 329. What is the highest common divisor of f and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 42 = -6*m. Let w(i) = i + 148. Let s be w(-39). Let d = s - m. List the prime factors of d.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + 245 + -101 - (2 - -6).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236 and 1792951.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31a + -416?\nAnswer: -da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 3:09 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(sqrt(2592) - (-3*sqrt(2592) + sqrt(2592))))\/((1*sqrt(108))\/(sqrt(24)\/sqrt(48))).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 - 3*l**2 + l + 31. Let i(k) = -20*k**3 + 14*k**2 - 4*k - 154. Let w(v) = 3*i(v) + 14*z(v). Differentiate w(s) wrt s.\nAnswer: -12*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**6 - 2*u**5 - 2312*u**4 + 12424*u**2 + 2*u + 2.\nAnswer: -120*u**3 - 120*u**2 - 55488*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -34 - (11 + -1)) + 9 + 0\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w - 83. Let t be c(-17). Suppose -3 = g, y = t*y - 5*g - 17. Solve o - y + 0 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 680 - -207. Let h = z - 2609\/3. What is the common denominator of h and 25\/183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 105 = 4*p - 378, -5*m + 3*p + 426 = 0. What is the remainder when m is divided by (-3)\/(-5) + 21\/70*78?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8441 and 55050?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5730 + 5725. Put i, -1, 5, -3 in descending order.\nAnswer: 5, -1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53\/2 + 26. Let h = -74 - -73. Sort 5, h, y in decreasing order.\nAnswer: 5, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -671 = -22*o + 1969. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 632 and 882351?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggsssggssgsg. Give prob of picking 4 s.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71954 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 0*i + i**2 - 2 - i**3 + 5*i**2 - 4*i. Let z be l(5). Solve 0 = -v - z*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -156*r + 180*r - 120. What is the fourth biggest value in r, 1\/5, 3, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, j: 4}. What is prob of sequence ii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497639295.\nAnswer: 3, 5, 823, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/1591 and -107\/10?\nAnswer: 15910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 36.64717 and -15955?\nAnswer: 15991.64717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4429471, -8858944, -13288417?\n\"Answer: -4429473*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.06, -5.\nAnswer: -5, 0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1 + c + 8*c - 2 - 4*c. Let y(i) = 2*i**2 - 7*i - 10. Let f be y(5). Suppose -w - 5 = -5*k, -f*w = 5 - 30. What is u(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.59033 or 37?\nAnswer: -2.59033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3459.\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (-47 - -26 - -37)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -916, -1232, -1796, -2644, -3812, -5336, -7252?\n\"Answer: -6*l**3 - 88*l**2 - 10*l - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1206*-1635\nAnswer: -1971810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**4\/8 - 2*q**3\/3 + q**2 - 11. Let n(y) be the second derivative of w(y). Calculate n(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3 + 17. Suppose -5*n - 5*g = -30, 0*n + c*g = 5*n - 20. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/6)*c**(-4\/11))\/(c*c\/(c*c\/c**0))**(2\/45) assuming c is positive.\nAnswer: c**(-13\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 21*u - 15 + 3*u + 4*u.\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o**2 + 2*o - 2. Let t be h(-2). Calculate the highest common divisor of 98 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-4))\/b)\/b)\/b**(-1\/9)*((b*b**(-2\/3)*b)\/b)**(-15\/4) assuming b is positive.\nAnswer: b**(-221\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231664.\nAnswer: 2, 14479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((1 - 1) + -1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -46 (b) -1\/14 (c) -18 (d) -0.02 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -138 + 143. Let j(b) = 8*b - 3*b**2 - i + 4*b**2 + 14. Let f(t) = -t**2 + 17*t - 22. Let s be f(16). Determine j(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129976c (base 13) to base 16.\nAnswer: -5939c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4542 (base 12) in base 14?\nAnswer: 2b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3802 - -a5a0?\nAnswer: 6a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 4 + 0 + 13*b + 9.\nAnswer: 13*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/707 and 53\/5873.\nAnswer: 593173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62675*r**4 - 153*r + 27.\nAnswer: -752100*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*a - 16, v = -6*a + 57 - 89 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 527 + -262. Suppose 116*n = 121*n - z. Let m(v) = v**3 - v + 14. What is the remainder when n is divided by m(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.359997mg to kilograms.\nAnswer: 0.000002359997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*28\/21*-6. Suppose -2*x + 514 = 4*v, -w*x + v + 1008 = -v. What is the greatest common divisor of x and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.90403 + 0.8646. Round x to three dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 - 11*n - 6. Determine t(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s + 3. Let a(d) = 16*d + 6. Determine 3*a(u) - 5*h(u).\nAnswer: 3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -199, -204, -209, -214?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 54*z + 9. Let h(m) = 33*m**2. Determine h(q(s)).\nAnswer: 96228*s**2 + 32076*s + 2673","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*f**2\/15 - 164*f\/5.\nAnswer: -2*f*(17*f + 246)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*u - 14 = 4*q, -4*q + 3*u - 39 = 0. Let w be (q + 1)\/((-1)\/(-1)). Let b be -4*((-6)\/w - 2). Let d(t) = -t**3 + 5*t**2 - 2*t + 7. Calculate d(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 17. Let l(h) = -h - 35. Suppose o = -5*k + 2*o + 28, -4*k + 3*o = -29. Let v(p) = k*t(p) + 2*l(p). Differentiate v(j) with respect to j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 64519202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 64*p - 63*p + 7, 2*q - 3*p - 12 = 0. Solve 4*d - 1 = h + q, h - 5*d = -12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955\/(-60) - ((-48)\/64 + 10\/12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3463, 5, 0.07, -2\/7, -17, -1 in descending order.\nAnswer: 5, 0.07, -2\/7, -1, -17, -3463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675226 is divided by 168556.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 614, 2473, 5574, 9917?\n\"Answer: 621*c**2 - 4*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x - 29*x = -2*n - 8, 20*n - 15*n - 22 = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 1:23 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/2*(-74)\/185. Let j(m) = 13*m**2 - 1. Determine j(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -2.82.\nAnswer: -0.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 618855195?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-63135)\/(-55) - (3\/(-11))\/3.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 1. Let r be s(-3). Let t be (-12)\/(-8)*16\/6. Suppose t*q + 3 - 35 = 0. Solve 0 = -0*f - r*f + q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48464 + -48463.999945209. Round q to 7 decimal places.\nAnswer: 0.0000548","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, -5, 0.5, 1\/89, 2.371, -1?\nAnswer: 2.371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 60 = 4*i - 2*s, i = -2*s + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 11. Does -1 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*p*r - 4*h*r**2 - 69271*p*r**3 + 6*p*r**2 + 12*r**3 - 335 wrt p.\nAnswer: -h*r - 69271*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*n**4 + 27*n**3 + 347*n**2 + 18*n - 198159 wrt n?\nAnswer: 300*n**2 + 162*n + 694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.42, 1\/5, -0.5?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9081\/360 + (-16 - -13). Let g = q - 181\/8. Let d = -0.1 - -0.04. What is the biggest value in 5, g, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 78. Suppose -10 = -x*k + 5*d, 5*k + 2*d - 3 = -0. Calculate the highest common factor of k and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -48. Suppose 0 = -q*l - 153 + 13. Let j = l - -59. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 + 38*h**2 - 37*h + 63. Let n be l(-20). Put -325, -4, 4, n in decreasing order.\nAnswer: 4, n, -4, -325","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*x. Let t = 0.2 + 0. Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 4 + 33\/(-11). Solve -j = -5*u, s = -j + 4*u - 0*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 3*m - 1. Let f be (-14)\/4 - ((-7)\/2)\/7. Let a be f\/(-18) + 4\/(-24) + 6. Let g be ((-4)\/(-6) + 0)\/(a\/(-27)). Determine s(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from hhiyifyryiig.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 75 + -6 + 42\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7418 + 7426. Solve 5*c - 6 - g = -l, 3*l = -5*c + 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f**2 - 2. Let a(y) = -50966*y. Calculate a(g(t)).\nAnswer: 662558*t**2 + 101932","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -5, 5, 1, -3 in descending order.\nAnswer: 84, 5, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5429981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 2, w: 12, n: 3, o: 1}. Give prob of sequence wu.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 + 36*r + 2. Let v(b) = -4*b**2 - 52*b - 2. Let n(w) = -7*u(w) - 5*v(w). What is n(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*x - 15*x + 29*x as z*x + v and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 3048630540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d*j**2*r**3 - 21*d*j*r**3 - 2*d*r + j**2*r - 2*r**3 + 4803*r**2 wrt d?\nAnswer: j**2*r**3 - 21*j*r**3 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/15981 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*m**(-12))\/m)\/m**(-3))\/(m*m**(-1\/6)*m**(-8\/7)))**(2\/3))**(-37) assuming m is positive.\nAnswer: m**(13505\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707711917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 4*(-3)\/6. Suppose k = -c + 77 - 35. What is the highest common factor of c and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102185297.\nAnswer: 23, 4442839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = j - 2*p, -j - 5*p = -4 + 5. What is the remainder when 117 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d + 6. Let a be ((-49)\/d)\/(6\/24). Suppose 2*c + 0*c = 2*r - a, 4*r - 190 = -2*c. What is the highest common divisor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 6*q. Suppose -j + 5*x + 6 = 0, -3*j + x + x + 18 = 0. Let w be r(j). Is -3\/7 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*d + 27*d + 60. Suppose 0 = d*m + 4*l - 25 - 10, 3*l = -2*m + 21. Sort -5, m, -8.\nAnswer: -8, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2, -4, 806, 4 in descending order.\nAnswer: 806, 5, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6256719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**4 + 15*d. Let z(g) be the second derivative of g**6\/30 + 5*g**3\/3 - g. Let r(t) = 5*j(t) - 7*z(t). What is the second derivative of r(x) wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from bpufwbby?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 4*y - 272 = 0. What is the smallest common multiple of y and 56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/63)\/(3\/(-2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*u, z = 3*u. Suppose -5*d + 2*w + 16 - z = 0, -5*d = 4*w + 20. Solve -2*q + d = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150697.\nAnswer: 150697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/36 and -29\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 3:45 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74*((-4)\/(-8) - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9126000 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 768 and 384?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 842581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/10 - -2)*(10 + -5). Let u be (-2)\/6*(-2)\/2. What is the closest to 1 in g, u, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -2, 5 in descending order.\nAnswer: 5, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650272119 a multiple of 1155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 792 - 6*s - 444 + 9*s + 9*s as v*s + f and give f.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -41 + (-3 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29807646 a multiple of 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 342.0563 - 0.0563. Let j = u + -339.81. Let n = j + 0.81. Which is the nearest to -0.2? (a) -2 (b) 5\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -3*m**5\/40 - m**4\/4 - m**3\/4 - 17*m + 9. Let y(q) be the first derivative of x(q). What is i in y(i) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00069944354 rounded to 7 decimal places?\nAnswer: 0.0006994","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -150 - -345. Suppose 0 = -2*s + 2, -5*s + k = -4*h + 518. Let b = h + 1. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16347 - -16359. Solve -168 = -44*r - s*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 436 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -5. Find the common denominator of 1\/6 and (3\/(-18))\/(2\/v).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/54*(-3)\/(-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16*16641.\nAnswer: -2662.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -6 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 2*u**5\/15 - 7*u**4\/24 - 5*u**3\/6 + 12*u**2. Let o(x) = -23*x**2 + 20*x + 14. Suppose 3 = -5*r - 82. Give r*t(q) - 6*o(q).\nAnswer: 2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 241 + -237. Factor 1005*f**3 + 810448*f - 12*f**t + 32856*f**2 + 5*f**4 + 11*f**4 + 7496644 - 413*f**3.\nAnswer: 4*(f + 37)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/984 and 21\/24559?\nAnswer: 589416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 0*h + 14 - 5 - 3*h. Let r = -26 + 17. What are the prime factors of z(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*q - 2*q + 74. Let t(a) = 24*a - 2. Calculate t(q).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1643*n**3 + 40792*n wrt n?\nAnswer: -9858*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*q, -4 = f + q + 5. Let z = f - -8. Let a = -1 + -2. Put a, z, 1 in decreasing order.\nAnswer: z, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -50\/9, 1\/2, -0.08, 346631?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2878697, 2878699, 2878701, 2878703?\nAnswer: 2878705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -11. Let x(b) = -b**2 + b + 11. Let p be -1*(-2 - -2)\/2. Let a be x(p). Sort z, a, -4 in increasing order.\nAnswer: -4, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 11*m - 598. Is 61 a factor of d(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37631497\/3 != 12543833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3645\/23138?\nAnswer: -3645\/23138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Let u = f + 0. Suppose -9 - 108 = -u*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (51 + -68 + 19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2908 - 2906. Put 12, -5, 0, j in descending order.\nAnswer: 12, j, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -470*c + 466*c + 32. Solve -47 - 1 = -c*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149569.\nAnswer: 7, 23, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 15 + 8)*(-3*z**3 + 4*z**3 + 0*z**3) - 9 + 4 - 3*z**3 + 2.\nAnswer: 6*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-6 - 3) + -9 + (3 - 1) + -7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-63)\/(-98))\/(6\/(-7)). Which is the biggest value? (a) 4\/9 (b) 2 (c) z (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.27*897.\nAnswer: -242.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 5, 10\/17, 0.12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**5\/2 - t**4\/24 + t**3\/6 + t**2. Let d be b(1). Suppose -3*q = -27 - d. What is the greatest common divisor of q and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3 = w - 21, -36 = -5*z - 4*w. Solve -8*x - 20 = -z*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-4))\/((-7)\/24*(-243)\/567).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -231 + 148. Let i = 83.4 + m. Is 2\/5 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -130 + 1246?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 8}. Give prob of picking 2 q.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 559298 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + (-1)\/(1\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75871.63 decades in millennia?\nAnswer: 758.7163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 568 + -569. Suppose 5*j - 12 = -2*o - 1, -5*j + 17 = 4*o. Sort j, u, -11 in decreasing order.\nAnswer: j, u, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-2164)\/(-44) - -2. Let u = i - -527\/11. What is the common denominator of 16\/7 and u?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4990 = 3*k - d, -5*d + 1127 = -3*k - 3855. Let j = -25 - k. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000651 rounded to five decimal places?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6032 - h**2 + 6032. Let r(s) = 3*s - 17. Calculate n(r(o)).\nAnswer: -9*o**2 + 102*o - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1)*42\/(-7 + 10). What are the prime factors of (-6)\/w - (-48573)\/147?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-60))\/(((-4)\/15)\/(-1))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**3 + 18*m**2 + 8596*m + 125568 = 0.\nAnswer: -32, -18, 109\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -164, 2\/13, -5?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 0.2. Let h = -0.21 - 0.19. Let p = h - w. Which is the second smallest value? (a) 1\/6 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248688231 and 859?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1312.3 - 1312. Let d = -1 + 0.4. Let y = 0.8 + d. What is the third smallest value in 4, s, y, -1.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3 + (-2 + 0 + 1)*(-3 - 2 + 3) - 1 + 0 + 3)*(2*r + 3*r - 4*r).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3874 + -2290. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 0, -2.\nAnswer: -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*v - 3 = 0, -4*m + 0*v + 12 = -4*v. Suppose 0 = 3*z - 3*y - 6, -4*z + 5 + 1 = -m*y. Solve 0 = 2*t - z*t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 672078, 672105, 672150, 672213, 672294, 672393, 672510?\n\"Answer: 9*n**2 + 672069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/(-8)*12\/42 - 1. Let i = 0.39 - 27.39. Let t = i - -26.49. What is the smallest value in 1\/4, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2132429 and 13039?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*n**4 + 8769*n**3 - 761570 wrt n?\nAnswer: 92*n**3 + 26307*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2365, -2362, -2359, -2356, -2353?\n\"Answer: 3*z - 2368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(1\/5)\/z))**(-49)\/(z*z\/z**(-2\/35))**(-40) assuming z is positive.\nAnswer: z**(-207\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -104*i. Let b(n) be the second derivative of -n**4\/6 + 2*n + 32. What is d(b(g))?\nAnswer: 208*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3725*s**2 + 1865*s**2 + 1862*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 27, 44, 79, 138, 227?\n\"Answer: v**3 - 2*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 5\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g + g + 11*g = -136 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 4*d**4\/3 - d**3\/6 + 4*d + 5. Let z(t) be the first derivative of f(t). Does 5 divide z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 0*j - 8*j - j + 0*j + 3*j + (2 - 2*j - 2)*(-1 + 1 - 1).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1168437 + 109*k + 1168437.\nAnswer: 109*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16630542 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.17 (b) 1 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 - 4*m + 2. Let s = -18 - -13. Let q(d) = 4*d**3 + 5*d - 3. Calculate s*r(y) - 4*q(y).\nAnswer: -y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 3712 = -6*z + 4*a, 4*a = 0. Suppose 5*v = -2*c + z, -536 = -3*v + 3*c + c. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1052*y - 1056*y = 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/10 and -109\/762.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnbnbhnnnhbhhbebh. Give prob of picking 1 h and 1 n.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -5*k - 272 - 227 + 129, -27*j = -3*k - 29*j + 153 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*i = 48*i. Let r(p) = 0 + 2 + i - p**2. Calculate r(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 570 by -3.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 45*n**3 - 45*n**2 + 11*n - 7. Let c(o) = -22*o**3 + 20*o**2 - 5*o + 3. Let j(z) = 4*b(z) + 9*c(z). What is j(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7126.8414 hours to weeks.\nAnswer: 42.421675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*f + 40, 11 = -o - 2*f + 3*f. Let a be o\/5*4\/(-6). Differentiate -2*j**a + 2*j**2 - 2 + 2*j**4 wrt j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 2, -53 in ascending order.\nAnswer: -53, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 165209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11263459 - -3?\nAnswer: -11263456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -252 - -252. Suppose g = 4*z + 4*q - 16, -3*q + 18 = -3*z + 8*z. Solve -s - 4*j = -z*s + 6, -4*s + 3*j + 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1850 * -1.\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -144, -287, -430?\n\"Answer: -143*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = j - 1, 5*j = 5*q + 4 + 11. Let k(d) be the second derivative of d**5\/20 - d**4\/3 - 5*d**3\/6 - 2*d**2 + d. What is k(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*i + 1236 = 802 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 6*u + 17. Determine o(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2209 - 2185. Calculate the highest common divisor of s and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 5. Let c be i - 2 - (-33)\/39. Is c smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.066, 5, -2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2 + 101055*f + 101052 = 0 for f.\nAnswer: -33684, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 4:35 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from sssgsssas.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -4 (c) -3\/8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/11, -66, -5, 3, 4, 0, 5 in decreasing order.\nAnswer: 5, 4, 3, 0, -12\/11, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -25. Let n be 0\/3 - (-2 + o). Let d be (n\/(-3))\/(1 + (-556)\/552). Is 45 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 3*p - 2 + p**2 - 1\/3*p**3. Let m(s) be the second derivative of -s**3\/2 + s**2 + s. Calculate -5*d(u) + 4*m(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*j + 143*j + 27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*d**3 - 17*d**3 + 46*d**3)*(-7 + 5*d - 2*d - 2*d) to s*d + t*d**4 + g*d**2 + n*d**3 + a and give n.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.2. Let o = 0.4 + -0.5. Let a = x + o. Which is bigger: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from {j: 8, w: 2, z: 3, q: 7}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4*x**(2\/21))\/((x\/(x*x*x**(1\/9)))\/(x\/x**(1\/6))) assuming x is positive.\nAnswer: x**(761\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -56*g**2 + 2*g - 1 + 69*g**2 - 30*g**2. What is n(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 13*d + 10. Let a be i(-7). Let y(r) = 4*r - 9. Let o be y(a). Let f(u) be the second derivative of -u**4\/12 + u**2\/2 - 2*u. Determine f(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -5 + 8 + -5 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 609043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 31777 (b) 0.4 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.336 + -1.3. Let b = -0.03599914 + y. What is b rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -90? (a) -2 (b) 4 (c) 4.36 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -13*a**3\/3 + 5*a. Let q(w) be the third derivative of w**5\/30 + 8*w**2 + 2. Determine q(g(b)).\nAnswer: 1352*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 43. Let d(t) be the second derivative of 0*t**2 - 1\/54*t**4 + 3*t + 0 + 0*t**b. Factor d(j).\nAnswer: -2*j**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -70*y - 35. Let r(t) = -35*t - 18. Let b(g) = -6*q(g) + 13*r(g). What is the derivative of b(m) wrt m?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/26 + (162 - 145) + 1197\/(-78)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) -0.6 (c) -4\/5 (d) -1\/6 (e) -0.3 (f) 1\/535\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/260 and 61\/100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 19917 = -10*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + -3 + 0 - (2 - 71). Let h(m) = m**2 - 21*m - r + 121 - 69. Let k be h(22). Solve -k*a = -4*u - 4*a - 19, -9 = u - 4*a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 2*w - 2*w + 2*w**2 - w + w - 10*w**2 + 3*w - 3*w + 3*w**2 - 3 + 3 + (0*w + 0*w + 2*w)*(w + 0*w - 3*w).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10 + 38\/(-95). Suppose 6*c - 10 - 8 = m. Is (55\/15)\/(c\/387) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.088 + -0.9. Let j = -2.1 + f. Let l = j - 0.07. Round l to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 784*k**2 - 6080*k + 12032.\nAnswer: -4*(k - 188)*(k - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 24. Let s(w) = -w**2 - 4*w + 7. Let v be s(-5). Let l(d) = -1 - 4*d**2 - 5*d - 3*d**2 - d + 8*d**v. What is l(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 1602*t + 179265.\nAnswer: -3*(t - 629)*(t + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by 95.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 1665 = -9225. What is the highest common factor of c and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**3 + 8*n**2 - 8*n - 2. Let s = -30 + 35. Let v be -1 + 11\/s - 10\/50. Let o(r) = r**3 + r**2 - r. What is v*z(a) - 8*o(a)?\nAnswer: -2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -14*g - 47. Let v(l) = -5*l - 16. Let a(u) = 6*b(u) - 17*v(u). Let q be a(13). Solve 0 = -4*y - 5*i + i - 24, q*y + 2 = i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18428144 is divided by 96.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + -12 + 1 - -341 is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4 = 68*u - 1165, 181*k + 3*u - 350 = 184*k - 302 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 199*p + 2*p**3 - 73*p - 66*p - 4 + 7*p**2 - p**3 - 67*p. Let m be q(-7). What is the highest common divisor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.085240607 to five decimal places.\nAnswer: -0.08524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127744*d**3 + 24*d**2 + 34*d + 11 wrt d?\nAnswer: -766464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 196759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*g - 17 = l, 0 = 4*g. Suppose 0 = w - 6*w + 4*z - l, 3*w = 2*z - 9. Let a(i) = 141*i + 1. Let s be a(w). Round s to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1 + -4)*(-1 - 1) and ((-3)\/6)\/(12\/(-48)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36960 rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, 8, -10, -48, -112?\n\"Answer: -a**3 - a**2 + 6*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*4)\/(-3 - -2). Let x be g\/(-10) - 18\/(-5). Let h(o) = o**2 + 8*o - 20. Let y be h(-10). Solve -x*t + 0 + 4 = y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 982816 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-75))\/(((-4)\/4)\/5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 9:36 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2190 divided by 438\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/3*90\/120*(-24)\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41\/((-656)\/(-174816)) - (0 + 2 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14707, -29426, -44145?\nAnswer: -58864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*z**3 + 3 + 62 - 62 + z**2 - 5*z**3 as x*z**3 + v + f*z**2 + n*z and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 - 13*z**3 + 271*z - 5*z**3 - 965*z - 140*z.\nAnswer: -23*z**3 - 834*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2047 + -1584. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 572 - 279 + 200*n**2 - 286 - 245*n**2 to p*n**2 + d + b*n and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6884\/277 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -9*r**4\/4 + 58*r**3\/5 - 78*r**2\/5 - 24*r\/5 + 22. Solve a(u) = 0 for u.\nAnswer: -2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (576\/(-40))\/12*3\/(-6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (sqrt(180) + 6*(sqrt(180) + -4 + sqrt(180))**2)) + 1)*6.\nAnswer: -26490 + 3456*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6243707123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4600, -4727, -4938, -5233, -5612, -6075, -6622?\nAnswer: -7253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -0.04?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrjrjx. Give prob of picking 1 j and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3292232322 to the power of 1\/2, to the nearest integer?\nAnswer: 57378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.36 - 96.36. Let c = -92.000288 - o. What is c rounded to 5 decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 276\/5 - 55. Let t be (68\/(-833))\/(2\/(-7)). What is the fourth smallest value in -2, m, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*s**5 + 37*s - 5 wrt s.\nAnswer: -320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13)*1 + -5)**2 + -4 + 2*sqrt(13) + sqrt(13).\nAnswer: -7*sqrt(13) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39306, -39353, -39406, -39465, -39530, -39601, -39678?\n\"Answer: -3*a**2 - 38*a - 39265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 229682.78 times -0.1?\nAnswer: -22968.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 801 and 150469452?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*q**3\/4 + 1017*q**2\/2 + 1392*q + 936.\nAnswer: -3*(q - 78)*(3*q + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 315, -2, -594, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*p**2 + 2138359*p + 1250146410 wrt p.\nAnswer: -28*p + 2138359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 67752*q + 135500. Determine v(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sesewnnesnneees. Give prob of sequence nsew.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 573 + -482. Calculate the remainder when 450 is divided by c.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -546 and -117 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1264\/7 - 181. What is the smallest value in -3, c, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m = -15, 4*n - 4*m = 0. Let o be 5\/(5\/(-3)) - n. Suppose o = -f - 7 + 16. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -508890, -1017780, -1526668, -2035554, -2544438?\n\"Answer: j**2 - 508893*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16166020 + 16166800 = -156*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**5\/5 + 5*l**4\/8 - l**3\/2 + 17*l**2. Solve f(w) = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y + 7. What is the units digit of n(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20000100110121 (base 3) to base 12\nAnswer: -10a1337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 2) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 - 1 + 3 - 3*o**4 + (-o + o + o**2)*(-6*o**2 + 0*o**2 + 4*o**2).\nAnswer: -6*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, g: 1, p: 2, i: 4}. What is prob of sequence ugp?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.047523785 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000143311 rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/405 and 44\/5.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) - (-894)\/(-8835). Let t be ((-8)\/372)\/((-1)\/(-9)). Let d = n + t. Are 1 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = y - 0*y + 4*j, 0 = -2*y - 5*j - 22. Let n(k) = -6*k - 1. Calculate n(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 6 - (-473 - -478)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-96 + (4 - 0) + (-5 - -3))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 157 and 0.2.\nAnswer: 157.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 305032884 by 6.\nAnswer: 50838814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197689, 197690, 197691, 197692?\nAnswer: 197693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 209*p**2 + 2548*p + 124. Determine t(-196).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29*((1 + -4)*(-140)\/(-84))\/(15\/6).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) 1.1 (c) 1.2 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2524 or 4422?\nAnswer: 4422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 157149.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 224 or 4451558?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18396, -36791, -55186, -73581, -91976?\nAnswer: -110371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 2*c - 1. Let t be s(0). Put -3, 6, t in descending order.\nAnswer: 6, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/5))**(-50)*(b**(1\/11)\/b)\/b**(-3))**36)**44 assuming b is positive.\nAnswer: b**(-28368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2871 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 506.8 + -507. Put -17, i, 0 in descending order.\nAnswer: 0, i, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105.7 - 111. Let y = 5.5 + v. What is the closest to y in 1\/7, -1, -0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*i - 5. Let x be 0 + (-2 - (i + -5)). Suppose 3*u - 225 = -x*u. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9955, -79005, -266447, -631483, -1233315, -2131145, -3384175?\nAnswer: -5051607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -10. Suppose 0 = 4*r - 5*m - 6, -3*r + b*m + 1 + 1 = 0. Suppose -h = -3*h - 10, r*h = 5*g - 25. Solve g = 4*t + 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let z be -250*(-5)\/140*(-15)\/(-237). Let m = z - -1\/158. Which is bigger: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 5 + 25 + -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17952 = 6*n - 3*n. Let u = 3503 - n. Let r be u\/(-33) + 2\/(-11). What is r rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {j: 7, h: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 51*h**3 + 7*h**2 - 7. Let b(s) = -34*s**3 - 5*s**2 + 5. Give 7*b(f) + 5*j(f).\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 2 (c) 5 (d) 96 (e) 615\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 986987996 a multiple of 3242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 651 (c) 0.03 (d) 6 (e) 108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 19*x = -42*x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, u: 5, z: 1, d: 3, f: 2}. Give prob of sequence duf.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-14) - -2) + (-24)\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 14975*z - 359966. Determine j(24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15\/16 (b) 2 (c) 117 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -7. Let n be (2 - -4)\/(-1 - t). What is the tens digit of (3\/n)\/((-1)\/(-28))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1265131 rounded to two dps?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 1877670 to the power of 1\/2, to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257739, -515484, -773229, -1030974?\nAnswer: -1288719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04398818 - 0.5.\nAnswer: -0.45601182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2163180 and 29202930.\nAnswer: 58405860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -2\/3 (c) -4 (d) -400 (e) -13.68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 963.7118l?\nAnswer: 963711.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 791162 (base 11) to base 2\nAnswer: 100110011110001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3476 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 8:51 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 3*a**3 + 8*a + 92*a**4 + 3*a**4 - 47*a**4 - 6*a + 9 in the form v + h*a**2 + c*a**4 + d*a**3 + g*a and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 503 + -143. Calculate the greatest common factor of f and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2391, 5 in descending order.\nAnswer: 2391, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314 + 85 - 57 = 171*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1600))\/sqrt(5).\nAnswer: 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(17) + 2 + sqrt(17) + sqrt(17))*-5*-1 - (-5 + sqrt(102)\/sqrt(6) + sqrt(833) + -3)) + 2)**2.\nAnswer: 8040*sqrt(17) + 79913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.3, 4\/13, 120, 2, 3\/7?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 9*a**2 - 8*a. Let b be t(8). Suppose -4*x - 3*o + 7 = -9, 0 = 4*x - 5*o - 16. Solve -x*m + b = -4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 31. Let y = 4 - -2. Calculate the highest common factor of y and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from smcsxmcmcmms.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1884000 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*w, -5*d + 162 + 108 = w. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(2)*5 - sqrt(30))\/(sqrt(160)*1).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/((-12)\/(-90)). Suppose 0 = -l*y + 2*y - 165. Let q = y - -92. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 2*a**3 + 2*a**3)*(1 - 3 - 1) + (4*a + 3*a - 5*a)*(2*a**2 - 4*a**2 + a**2).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -158, -6760, 28 in ascending order.\nAnswer: -6760, -158, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 c when four letters picked without replacement from {c: 4, k: 5, f: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or 464?\nAnswer: 464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -1\/3 (c) 1131 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2316, -4620, -6914, -9198, -11472, -13736?\n\"Answer: 5*a**2 - 2319*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -28*d**3\/3 + 5*d**2 - 1112. Let n(p) = p**2. Determine n(x(i)).\nAnswer: 784*i**4 - 560*i**3 + 100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t + 7*t - 6*t + 4*t - 3*t - 3*t + (2 + 3 - 3)*(4*t - 4*t - 2*t) + t + 2 - 2 + 4*t - 3*t - 3*t - 3*t - 38*t - 17*t - 2 in the form f + v*t and give v.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*v + 2. Suppose 0 = -v*r + 110 + 10. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -382, -661, -940, -1219?\n\"Answer: -279*w - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.003, 0.4, 3\/2, -0.7, -1, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*35\/(-63) - 31?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 5 + 3 + -3 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 10*i - 87. Give c(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64320?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3918)\/(-5224)*(48\/(-15))\/(1*(-3)\/20).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(5 + sqrt(112) + (sqrt(112) - (sqrt(112) + sqrt(112) + 0)) + 4 - ((-2*sqrt(112) + -4)**2 - ((sqrt(112) + sqrt(112) + 1)**2 + 0))) + 3).\nAnswer: -864*sqrt(7) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3764 - -2714. List the prime factors of l.\nAnswer: 2, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/63 (b) -3 (c) 0.1 (d) 2 (e) 3 (f) 5 (g) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 + 3*u**4)*(-1 + 1 + 6) - u**3 + 145 - 257 + 130 + 2*u**4 - 2*u as s*u + j*u**4 + w*u**3 + k*u**2 + i and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - b**2 + 0*b**2)*(-134*b**2 + 16970 - 16970)*(4*b - b - 5*b) - b**5 + b**5 - b**5.\nAnswer: -269*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7261040 rounded to the nearest 10000?\nAnswer: -7260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*x + 211 = -62. Let i(f) = 40*f + 114. Let d(j) = 11*j + 38. Let z(w) = x*d(w) + 2*i(w). Calculate z(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 4228*s**2 + 1 - 631*s**2 + 8380*s**2 as d + h*s**2 + p*s and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/80 - m**5\/40 + m**2. Solve h(z) = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 23 + 0 + 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52371, 52365, 52371, 52401, 52467, 52581, 52755?\nAnswer: 53001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -317*h**2 - 3*h - 3. Let p(u) = -316*u**2 - 2*u - 2. Determine -2*c(w) + 3*p(w).\nAnswer: -314*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -66*m + 667. Calculate the remainder when c(4) is divided by 52.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v, 5*v - 8 = -w + 2*v. Suppose -y + 106 = w*u, -2*y = 5*u - 5*y - 122. Calculate the least common multiple of u and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 718 = 788. Let a be 22 + 5 - -1*1. Suppose 2*z + 8 - a = 0. What is the lowest common multiple of z and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/12*-1 - (-68)\/87 and 75\/22.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1670 times 294.172\nAnswer: -491267.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2011 + 2348.7. Let j = b + -357. Round j to 0 dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 74985*f**3 - 70*f + 35489. Let d(t) = 14997*t**3 - 15*t + 7098. Let k(g) = -3*a(g) + 14*d(g). What is the first derivative of k(o) wrt o?\nAnswer: -44991*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {g: 3, w: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -34. Suppose 2*b - k - 4*k - o = 0, -4*k + 28 = 4*b. Suppose -w = 4*m - b*m + 243, -3*m = -2*w - 150. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 32*u + 327. What is the units digit of w(56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 224*c - 1614. What are the prime factors of d(8)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccec when four letters picked without replacement from ccceececceeeec.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {d: 11, i: 2, o: 2}?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {e: 1, u: 4, j: 4, z: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -41529.5 - 32586\nAnswer: -74115.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -558, -535, -512, -489, -466?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -23\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 89307 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2668 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1535 - 4987 = -3*l + 2*w, -l - w = -2174. Is 50 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 1:27 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.08 - 635573.\nAnswer: -635575.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -6 - (-18 - -27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - -24. Suppose 5*i - 3 - 22 = 0. Suppose 6 = y - i. What is the greatest common factor of u and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 302148 and 495?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - t - 4 = -2*p, -5*p - t - 4 = 0. Suppose 5*q = -4*c - 0*q + 45, 2*c - 2*q - 36 = p. Solve c + 1 = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-7))\/(31270\/(-43778)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 6*f**5\/5 - 14*f**4\/5 - 122*f**3\/5 - 66*f**2\/5 + 36*f\/5 = 0?\nAnswer: -3, -1, 0, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-3 + 3 + p) + (3 + p - 3)*(-8 - 5 - 2) + 4*p - 4*p + p.\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**7\/357 - 2*r**6\/255 - 13*r**5\/85 - 28*r**4\/51 - 47*r**3\/51 - 14*r**2\/17 + 157*r. Solve n(s) = 0 for s.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25915848 to the nearest integer?\nAnswer: 5091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2994085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 7 = 2*a - 5*f, 5*a - 3*f = -7. Calculate the lowest common multiple of 4 and (-10 - -2)\/(a\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63276.\nAnswer: 2, 3, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -13, -0.11, -8\/1817, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7520 divided by 1880\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 1 = -s - 2*q, 5*q + 25 = 5*s. Let l be (-32)\/(-12) - (-1)\/s. Put l, -4, -33 in increasing order.\nAnswer: -33, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4074 and -57\/98?\nAnswer: 28518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 75, 111, 145?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**3\/6 + f**2\/2 - 4*f. Let v(o) = -6*o + 7. Let j(s) = -14*a(s) + 2*v(s). Let g(k) = -3*k. Determine g(j(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -39 + 201. Is 27 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44815776 a multiple of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 5 - 6 + 10. Let m be q(5). Suppose -m*d + d = -114. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 489596?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, b: 5, x: 1, m: 2, h: 1, t: 1}. Give prob of sequence bhx.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3063 divided by 67972\nAnswer: 3063\/67972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 7*x + 9. Let w be h(5). Let r be (-275)\/70 - 4\/w. Which is greater: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**4\/m**(-1\/4))\/(m**(-1\/2)*m**(-2\/3)\/m))**(6\/37))**2 assuming m is positive.\nAnswer: m**(77\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 5, 20, 39, 62?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - j = 375. Suppose 0*y + 38 = 2*y. Suppose -n + j = 5*q, 4*n + 17 = 4*q - y. What is the remainder when 26 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5\/9 - 4*n**4\/3 - 10*n**3\/3 - 16*n**2\/9 = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**3 + 6*c**2 - 9*c + 5. Let p(j) = -2*j**3 + 3*j**2 - 4*j + 2. Give -4*b(r) + 9*p(r).\nAnswer: -2*r**3 + 3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -4\/7, 2\/7, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**6\/360 - o**5\/20 + o**4\/8 - 2*o**3\/3 - 3. Let w(v) be the third derivative of k(v). List the prime factors of w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 602 + -558. Let p be -7 - f\/(-7) - -1. Let h = 1641\/11 + -149. Which is the nearest to 0.1? (a) p (b) h (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(12\/(-111648)) - -9)*6\/(-10) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -3. Let n(x) be the first derivative of x**3\/3 - 2*x**2 - 4*x + 1. Let u be n(a). Solve -k = -u - 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*g + 2)*(-5 + 5 - 7*g) + (-8*g + 0*g + g)*(-75*g + 39*g - 34*g) as n*g**2 + c + r*g and give n.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.82 rounded to 1 decimal place?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 1. Let f be h(-2). Let p(y) = -y + 0*y + y**f - 5 + 6*y**2 - 2*y + 6*y. List the prime factors of p(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 - 107. Solve d = -2*n - n + 2, -d - g = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.23842442 to zero decimal places.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23696154109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drrdrdgrrg. Give prob of sequence grd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n + 98. Let x be t(-12). Suppose 109 + 13 = x*v. Is v a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 1212*t - 22105. Determine w(18).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 2876*a - 17112.\nAnswer: -4*(a + 6)*(a + 713)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7707.738 + 7701. What is o rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*c, -2*c - 3*c + 55 = u. Calculate the remainder when 101 is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 84.26 and 3776.\nAnswer: 3860.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-133)*14189\/12162.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0 + 1\/720*t**6 + 0*t**3 + 5\/2*t**4 - 4*t - 1\/30*t**5 + 0*t**2. Let c(y) be the third derivative of a(y). Calculate c(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 17*t**2 - 19*t + 22. Let x be a(18). Calculate the greatest common factor of x and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let i(b) = -51*b**2 + 51*b**2 + 5*b - 4*b**4 + 61 - 2*b**3. Let h(u) = -5*f(u) - i(u). Find the first derivative of h(g) wrt g.\nAnswer: 16*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 456 + -455.7. Is q bigger than -6.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574297751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*b + 9, 4*c - 3*b - 2 = 0. Let o(j) = 2*j**2 + c*j - j**2 + 1 + 1 - 5*j**3. Calculate the remainder when o(-2) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -45?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*d + 2 = 0, 1440*k = 1443*k - 5*d - 12. Solve 20 - k = 3*t + s, 3*s + 24 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffzffhfpf. Give prob of sequence hfpf.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (3 + 0) - (-2 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173555*f**4 - 15*f**2 + 721606*f?\nAnswer: 2082660*f**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2452*1\/(-2) - 8\/(-11 + 15). Let u = -73 - -90. What is the greatest common factor of u and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*(r*r**(-5\/2))\/r*r*r))**23 assuming r is positive.\nAnswer: r**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14790403.\nAnswer: 23, 643061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21264 is divided by 926.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2271 - -2276. What is the closest to 1\/3 in 1\/4, -3, l, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*n**2 + 205*n - 450.\nAnswer: -5*(n - 18)*(2*n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0 (b) -0.3 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111001110 (base 2) in base 7?\nAnswer: -5553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -472.\nAnswer: -472.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(1104\/80)*-12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.037 in 5, -5, 2496, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -11. Let v be 29\/6 - ((-52)\/24 - -2). Which is bigger: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 3*l - 6. Let t be o(-4). Let p be 4\/t + 57\/21. Suppose -3*v + 330 = p*v. What are the prime factors of v?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -134*w**2 + 386*w - 33. What is k(4)?\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -571310 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/250931252 and 69\/5079580.\nAnswer: 1254656260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -645 and 0.006.\nAnswer: -3.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.33459188 + -121.66545712. Let w = 15.7 + 107.3. Let l = w + h. Round l to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -56. Suppose w*x + 30 = 19*x. Solve -x*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -542.959718?\nAnswer: 543.459718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t**2 - 3*t**2 + 2*t**2)*(t + 2*t - t) + 3*t**2 + t**3 - 3*t**2 - 1197*t**3 - 1804*t**3 + 1064*t**3)*(-2*t - 4*t + 5*t).\nAnswer: 1934*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64119612 by -212.\nAnswer: 302451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25300*h + 17743?\nAnswer: -25300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.62800937 + -1.6281. Round r to six decimal places.\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -1. What are the prime factors of 325\/(-10)*u*1?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34613 is divided by 607.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 187938 * 3\nAnswer: 563814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -23620*g + 236230. Give o(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((54\/9)\/3)\/(2\/14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 w when three letters picked without replacement from dwwdddttwdwd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44267108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t**2 - 7*t - 5. Let h = -37 + 32. Let p(n) = 22*n**2 + 22*n + 16. What is h*p(v) - 16*w(v)?\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 6:51 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*i + 33708 = 32476 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2285, 2271, 2257, 2243, 2229, 2215?\n\"Answer: -14*o + 2299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12551 is divided by 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 19318613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npw when three letters picked without replacement from nwnwpwnnwnwwpw?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -12*w + 18*w - 183547. Is w a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.06, 18, 3\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40039553 to the power of 1\/2, to the nearest integer?\nAnswer: 6328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*n + 12459 = -8373. What is the remainder when n is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 77551540*n + 300712067818580.\nAnswer: 5*(n - 7755154)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14845.\nAnswer: 5, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*x - 8*x**2 + 17*x + (-1 + 1 - 1)*(4 + 2*x**2 - 4) - 3*x**2 - 2*x**2 + 2*x**2 + 2*x**2 + 3*x**2 - 3*x**2 + (-4*x + 0*x + 2*x)*(0*x + 4*x - 3*x).\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 13 = 5, -3*j = 4*y + 19. Let z(g) = g**2 - 4*g + 4. Let m be z(3). Which is smaller: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-72)*(-1 + 49973). Suppose 28*w - u = 94093. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209 + -112. List the prime factors of m.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 u when four letters picked without replacement from {j: 2, u: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 1844*h - 61008.\nAnswer: 4*(h - 31)*(h + 492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35162552 divided by 14317?\nAnswer: 2456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -671886 or -3?\nAnswer: -671886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + (-17 - (-12 + 24 + (2 - 27))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 5*g + 6. What is the smallest common multiple of 12 and -1 - g\/((-8)\/36)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 4*j + 7. Let n be s(-6). Let m = -3 - n. Let r be 0 - 0 - (m - 5). Put -1, -5, r in decreasing order.\nAnswer: r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -6 - (-2 - (-24 - (-9 - 2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 573.1503 months to years.\nAnswer: 47.762525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16336 - 13?\nAnswer: -16352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/8 + 6\/4. Suppose j*h = -2*x + 100, 2*h + x - 103 = -0*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13785592673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -18. Let h = -0.07 + 1.37. Let k = h + -0.3. Which is the nearest to 0.2? (a) -0.4 (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-40))\/((-12)\/(-54) - (-1100)\/(-576)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 13 + 20 = -2*q - 35, 5*x = -3*q - 65 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 138551.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**2\/2 - 2*q - 46. Let y(p) = 6*p + 10. Determine -22*i(w) - 2*y(w).\nAnswer: -12*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8279 is divided by 180.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 31*x. Let z(f) = -43*f. Determine z(a(y)).\nAnswer: -86*y**2 - 1333*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031146493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**5 + 2*u**3 + 197924965*u**2 + 55861371*u + 3?\nAnswer: -40*u**3 + 12*u + 395849930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 743 (base 10) to base 3\nAnswer: 1000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2427 - -0.12365. What is w rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -488 + 483. What is the third smallest value in -1\/4, -3\/5, x, 36?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 12:02 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67530394 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2730 + -1923. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/42)\/(5\/(-50))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 22?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10795 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 115.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7671 + -7670.9. Which is the closest to v? (a) 0.11 (b) 2\/17 (c) -0.15 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 + 48606754*p\/9 + 10801500.\nAnswer: 2*(p + 2)*(p + 24303375)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**3\/5 + 174*b**2\/5 + 9729*b\/5 + 171396\/5 = 0.\nAnswer: -69, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 13180 to the nearest 100.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*l**2 - 257*l + 20720 with respect to l.\nAnswer: 14*l - 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -665 divided by 31403.\nAnswer: -665\/31403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 5, 108\/247?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3194 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-51320)\/(-88) + 10\/(-55). Let q = w + -572. Solve y + q - 15 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-1 - -11) + -12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -558*g**3 - 63. Let k(c) = -18*c**3 - 2. What is 63*k(d) - 2*v(d)?\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*(sqrt(78)*1 - sqrt(78))*-4)\/(sqrt(30)\/sqrt(45) - sqrt(12)\/sqrt(2)*-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 11 - 2*g + 11*g**2 + 448*g**4 - 452*g**4 - 13 - 3*g**3 as z*g**3 + t*g + w*g**2 + k + a*g**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 134876 divided by 28\nAnswer: 4817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3279969, -3279968, -3279967, -3279966?\n\"Answer: c - 3279970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 times -1.9824?\nAnswer: -771.1536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 3544626668010?\nAnswer: -3544626668007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjgggjpgjjgtnnpgg. What is prob of picking 1 g and 2 j?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + b)*(0*b**4 - 4*b**4 + 6*b**4) + 2*b**2 - 2*b**2 + b**5 + 36*b**3 - 82*b**3 - 20*b**3 + 2*b**5.\nAnswer: 5*b**5 - 66*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*l + 44 = 81*l + 2*i, -7*i = 110*l - 5*i + 876 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 2*v - 3. Let k be o(-2). Suppose k*a + 6*p = 4*p + 34, -3*a - 5*p = -28. Is (-1 + 3 - a) + 557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 7*g**3 - 27 - 2*g**2 - 11*g**3 - 2*g - g**4 in the form z + b*g**3 + n*g**2 + r*g + c*g**4 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*a - f, 9 = -a + 5*f - 7. Suppose 4*p + 0*p - a = 2*z, -3*z = -p - 9. What is the lowest common multiple of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*((-80)\/140 + 34\/(-14))\/(-9). Which is smaller: -420\/19 or u?\nAnswer: -420\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 120?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5*z + 78 - 68 = 0, 0 = 3*d + 2*z + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**4 - 2255*s**3 - 195400*s**2 + 5094860*s - 4897200 = 0. What is s?\nAnswer: -318, -154, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**5\/20 + u**4\/4 - 4*u. Let t be z(-3). Suppose 5*o + 5 - 135 = t. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*f*h*s**2 + 23*f*h*s + 4*f*h + 10*h - 2*s**2 + 115 wrt f.\nAnswer: 24*h*s**2 + 23*h*s + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -787330238708?\nAnswer: -787330238708.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, l: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 291 - 207. Let r = -79 + o. Solve p - 2*u = u + 17, -r = u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, c: 1, k: 5, a: 1}. What is prob of picking 3 k and 1 c?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/(-8)*(12 + 0) and 3\/18 - 566\/120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -36958*32\/(-107712).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*i + 92, -136*i = -139*i + b + 77. Calculate the remainder when 1358 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/1100*1884\/(-84) - 3\/4.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 96*k - 176.\nAnswer: -4*(k - 22)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 0 + 0)*(-1 - w + 1) - 4*w**3 + 0*w**3 + w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 36*q**2 + 5 + 26*q**2 - 8*q + 10. Is d(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/((-25)\/(-10) + -4). Let p(q) = q + 11. Let g be p(w). Suppose g*m - 10*m = -205. What are the prime factors of m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107 and 2945389?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 3:25 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -10*w + 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 50, 66, 70, 56, 18, -50?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = 2*l - 134, 0 = 2*t - 6. Let n be 3\/((-6)\/(-110)) + -4. Let f = n - l. Let h(v) = -v**2 - 9*v - 8. What is h(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587317 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (16\/6)\/(6\/90) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406948627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/30 and -11\/1878?\nAnswer: 9390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = u - 4*u - 4*h, -4*u + 2*h + 80 = 0. Suppose 16*a + 42 = u*a. Calculate the highest common divisor of 16 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, x: 6}. Give prob of picking 1 q and 1 x.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*i + 52 = 0, 8*i = 4*i + 8. Solve -l + y = -6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37.9 + 38. What is the closest to i in 40, -3\/4, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + c**3 + 2*c**3 - 5*c**3 + 2*c + 0 to the form j*c**3 + h*c**2 + y*c + g and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -632, -295, 618, 2395, 5324, 9693, 15790?\n\"Answer: 48*n**3 + n - 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 3}. What is prob of picking 1 o and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 4. Let j(t) = 329*t + 304. Let f(b) = -j(b) + 2*s(b). What is the derivative of f(z) wrt z?\nAnswer: -331","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -16 + 0*y - 4*y - y - 4*y**2. Let t(d) = d**2 + d + 4. Let c be (-2)\/(0 - -1) + 8. Let f(g) = c*v(g) + 22*t(g). Suppose f(b) = 0. Calculate b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 35, 94, 177?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + sqrt(1584)*-3 + (sqrt(77) - -2*sqrt(77)*1)\/(sqrt(112)*1).\nAnswer: -141*sqrt(11)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -89, -286, -667, -1292, -2221?\n\"Answer: -10*z**3 - 2*z**2 + 3*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 0)**2 + 4 - 4*sqrt(44)\/sqrt(4)*4.\nAnswer: -16*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/12))**11\/((u*u**(-7))\/((u\/(u*u\/u**19*u*u))\/u)))**(-2\/75) assuming u is positive.\nAnswer: u**(-241\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 3\/656, -23, 2\/2195 in decreasing order.\nAnswer: 3\/7, 3\/656, 2\/2195, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5914 = 26*d - 81602. What are the prime factors of d?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3667669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.2. Let o = -0.16 + 0.06. Which is the nearest to o? (a) 5 (b) u (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {a: 7, x: 1, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.46504 micrograms to grams.\nAnswer: 0.00002046504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8*v - 324. Let i = 91 - v. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1385, 11117, 37529, 88961, 173753, 300245, 476777?\n\"Answer: 1390*a**3 + 2*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhvvhhvzhivhvhvh. What is prob of picking 2 v?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 5. Let n be 10\/(-4 + 42\/9). Calculate the greatest common divisor of m and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 61. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/8)\/((-35)\/(-20))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(1331)*2 + -1*sqrt(1331) + -3 - ((sqrt(1331) + sqrt(1331)*3 + 2 - sqrt(1331)) + -3))**2*-2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 28748*r**2 + 1724*r + 12016. Let p be a(-7). Round p to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, u: 3, e: 5}. What is prob of sequence ueee?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42, 126, 266, 462?\n\"Answer: 28*a**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(5\/7)\/h**2 assuming h is positive.\nAnswer: h**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 73, 2.\nAnswer: -5, -1, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 319309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*m - 5, -5 = o + o - 3*m. Suppose -4*x + 14 = 2*j, j + o = -x + 5*x. Let k(c) = -2*c**x + 3 + 3*c**2 + c**3 - 3*c - c + 2*c**2. What is k(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58574.61 - -0.2.\nAnswer: 58574.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -2)\/(1\/(-1)). Suppose -5*w + r*w + 75 = 0. Suppose -4*f + w = -29. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-19 - (-10 + -15)) + -51?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5869*c**6*p + 31*c**4*p**2 + 299664*c**2*p**2 wrt c?\nAnswer: -704280*c**3*p + 744*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/2)\/(-3)*4. Suppose 86*w = 33*w + 30*w - 115. Sort w, r, 0 in descending order.\nAnswer: r, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1523076 - -7\nAnswer: 1523083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-128)\/(-12))\/(-8)*2\/(-8). Let u(n) be the first derivative of b*n**3 + 1\/4*n**4 + 0*n + 0*n**2 + 6. Give u(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/24*(3 + (-108)\/40)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1.6. Let p = -7 - -14. Let b = p - 6. What is the nearest to b in 0, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 + 132 - 23*u**2 - 268.\nAnswer: -23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198124?\nAnswer: 2, 49531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -3 in decreasing order.\nAnswer: 7, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201295 >= 2201297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1211 and 1039562363.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 16) to base 13\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/4)\/36*(-23)\/1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132802.17999965 + -132802. Let l = s + -0.18. What is l rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271000, -542160, -813334, -1084528, -1355748, -1627000, -1898290?\nAnswer: -2169624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81540 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 887, 861, 825, 779, 723, 657, 581?\n\"Answer: -5*x**2 - 11*x + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3213?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -56. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -18. Solve 0 = -q*s - 17 - 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16\/681 - -17893\/127120. Calculate the common denominator of 27\/154 and d.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 5)*(4 - 2 + 12)*(13 - 26 - 20)*(4*l**2 - l**2 - 4*l**2) as h*l + v + m*l**2 and give m.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 3:03 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 11*f - 33. Solve -5 = f*n + 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 - -0.04232013?\nAnswer: -0.03767987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*a**5 + 10585*a**4\/2 - 254033*a**3 - 1049103*a**2\/2 + 9801*a = 0. What is a?\nAnswer: -2, 0, 1\/54, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -2. What is the nearest to 0 in -29, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22983833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2593720 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 4:34 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 24*c - 23*c - 969, 0 = 5*k - c - 1607. Find the common denominator of (822\/27)\/(8\/3) and (6\/6)\/5 + k\/340.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 1 + (6 - 4 + 1)*(2 - 3 - 2) + 2 + 0 - 3)*(2 - 2 - x**3) to the form w*x**2 + l + c*x + t*x**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8650 - 216 = -403*p for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -37) + (-15 - 1) + -64\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3494*t = 1545*t + 87705 for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y - 16. Let t be 0 + 3*4\/((-8)\/6). Let a be x(t). What is the greatest common factor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 greater than 17927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9 + 11*o - 10*o + 0. What are the prime factors of x(11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2364 + 2368. Solve -4*q + k - 5*k - t = 0, -5*k - 21 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9381 times 926?\nAnswer: -8686806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2*7*(-120)\/14. Let f = 20 - n. What is the greatest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/1735, -5, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.428 less than or equal to 4112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*a - 2*x, -4*a = 3*x + 3 - 2. Let i(r) = -2*r**a - r**2 + 3*r**2 + 3*r**2. Let w(f) = 2*f**2. Give i(w(m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54258?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhbbhzzbfbu. Give prob of sequence zu.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 4*d. Let h be m(-4). Let p = -5.6 + 6. Which is the third smallest value? (a) p (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2*k + 1 - 2 + 30*k**3 + 3 + 3 to v*k + q*k**2 + g + m*k**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 6:36 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/6 and -121\/14202?\nAnswer: 14202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6063 + 2250*o**2 + 6805 - 5965 + 4066*o**2 wrt o?\nAnswer: 12632*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 415*h**3 - 25*h**2 - 535*h + 25. Let m(d) = 52*d**3 - 3*d**2 - 67*d + 3. Let j(g) = 25*m(g) - 3*w(g). Find the second derivative of j(l) wrt l.\nAnswer: 330*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaa. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 10:51 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12746643*b*k**2 + 570*b*k + 1495*k wrt k?\nAnswer: -25493286*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 3:17 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1252.24 - 1207.2296. Let h = -32.95 - 12.05. Let p = l + h. What is p rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1701 - -1707. Solve 0 = a*c + 11*c + 51 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 214 = -5*p - 44, 40*i - 235 = 49*i - 5*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = g - 2*v, 9 = -2*g - 5*v - 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -37, -0.5?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 d, and 1 u when three letters picked without replacement from zllukdr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -44*p - 302. Let c be i(-7). What is the smallest value in 2, c, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + 0*y + 2*y**2)*(25415*y - 5144*y**2 - 25415*y) as w*y**3 + p*y + r*y**4 + k*y**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170 + 76. Let l = z + 232. Let m = l + -89. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 153)*(-10)\/(-25). Suppose d = 4*m - 0*m. Solve m = 5*f - 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 - 330*k**2 + 662*k + 5. Calculate x(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 321, 635, 949?\n\"Answer: 314*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 4628735040.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20399 + -20323. Calculate the remainder when u is divided by 23 + (-2)\/(-2)*-2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n**3 + 5*n**2 - 10*n + 6. Let o(b) = b**3 - b**2 + 2*b. Let p(a) = 5*o(a) + v(a). Let k(r) = 15*r**3 + 7. Determine -5*k(y) + 6*p(y).\nAnswer: 9*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375953 is divided by 6369.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 296 - 323.9. Round l to 0 dps.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 17*c**2 - 11*c - 21. Let m be u(-8). What is the second derivative of -14 + 27*z**m - z + 33 - 23*z**3 + 30*z**3 wrt z?\nAnswer: 204*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -7*f**6\/195 + f**5\/65 + 14*f**4\/39 - 8*f**3\/39 - 60*f. Suppose g(w) = 0. What is w?\nAnswer: -2, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 33. Let p be 2\/8 - 60\/(-16). Which is the nearest to -0.1? (a) p (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1387 divided by -7914\nAnswer: -1387\/7914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 - 39*r - 1104. Determine i(-21).\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7285314 centuries to months.\nAnswer: 874.23768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(119) + (5*(sqrt(119) - sqrt(119)*-1 - sqrt(119)) - sqrt(119)))\/(sqrt(63)*1))**2.\nAnswer: 461\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1590 = 52*o - 10950. What is the least common multiple of 36 and o?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -864, -1\/3, -2\/5, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -4. Let m be (-45)\/k + -2 + 6. Let p = 0 + -0.2. What is the biggest value in -4, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7054 divided by -1?\nAnswer: -7054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*f = -6396, 13*f = 14*f - 2. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 455595?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10619298497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3993 divided by 363\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66282*a**4 + a**2 - 26*a - 1?\nAnswer: 1590768*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 100\/8 - 1\/2. Suppose 0 = 5*q + 2 - y. Suppose 2*x - q = -m, 0*m + 3*m = 4*x + 16. Solve 0*b + b + 5*a = 24, 0 = b - 2*a + m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -2240?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 53*v + 1. Let g(z) = -38*z. Let u = 238 - 216. Let b(h) = 7*h. Let a(n) = u*b(n) + 4*g(n). Give a(o(w)).\nAnswer: 106*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65358, -130715, -196072, -261429?\nAnswer: -326786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1233144, 1233151, 1233158, 1233165?\nAnswer: 1233172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/2488 and 1\/3732?\nAnswer: 7464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/570 and 37\/2964?\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3147, -3148, -3149?\nAnswer: -3150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 - 8*h + 8. Let l be g(1). Suppose q - 1 = l. Solve -q*t - 1 = 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 - 27. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 820581, 820593, 820613, 820641, 820677, 820721, 820773?\nAnswer: 820833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 3:04 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 11:07 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5936369 or 5936368?\nAnswer: 5936368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1915202, 1915199, 1915196?\nAnswer: 1915193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7135461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -196 - -200. Solve -b*l = -5*t + 6 - 0, -t + 14 = -4*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258623 = -136*n + 197929. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15333013 (base 6) to base 8\nAnswer: 2040641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/443?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -7*j**2 + 16*j + 36. Let p be u(-1). Calculate the highest common factor of p and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*p - 11*v + 29*v = 48, -126*p + 106*p + 2*v = 122 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/13, 3, -394\/3, 0.07, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*n - 2)*(2 - 3*n - 2 + (-19 - 33 + 24)*(7*n - 3*n - 2*n)).\nAnswer: 177*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, 10, 28, 52, 82?\n\"Answer: 3*w**2 + 3*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -2*z - 51 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 2*l**3 - 3*l**3)*(-2*l - 6*l + 6*l + 24).\nAnswer: 6*l**4 - 72*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3586, -7169, -10750, -14329, -17906, -21481, -25054?\n\"Answer: m**2 - 3586*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179645 divided by -2032.\nAnswer: -179645\/2032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11228959 and 238.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92 + -77. Calculate the greatest common divisor of 375 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - 0) - (1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146580.8421 - 146559. Round d to 1 dp.\nAnswer: 21.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 11542 = 361*p, -90*z - 30 = -47*z - 42*z + p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -79295, -316997, -713167, -1267805, -1980911?\n\"Answer: -79234*z**2 - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3.160261 minutes?\nAnswer: 189615660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1\/41, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, -2\/7, -69219, 0.5 in increasing order.\nAnswer: -69219, -107, -2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 783 and 2262.\nAnswer: 20358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2869 rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -541 divided by 541?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-24) - (-27)\/72?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-287)\/(-56) + -5)*16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 - 3*t**2 - 4. Determine y(-4).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19, 64, 111, 160, 211?\n\"Answer: l**2 + 42*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 66069 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-35)*d**(-1\/3))\/(d\/d**(-11\/3))**(-21))**(4\/9) assuming d is positive.\nAnswer: d**(752\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3553323?\nAnswer: 3, 17, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -147, -64?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (5113 - 70\/10) + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 4\/45*a**3 + 1\/30*a**4 - 8 + 0*a - 1\/5*a**2. Factor g(k).\nAnswer: 2*k*(k - 1)*(k + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 take away -0.168439?\nAnswer: -34.831561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 21 = -6. Let -1\/2*r**2 + 0*r + 0 - 1\/2*r**u = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-368255\nAnswer: -736510","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is (36\/432*1*9)\/(75\/(-60))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1363, 1361, 1357, 1351, 1343?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4765443 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a + 77*a - 196 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = l, 2*l = -3*f - 3*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 11*g**4\/4 + g**3\/2 - 33*g**2\/4 - 7*g - 1 = 0.\nAnswer: -1, -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*q = 238*q - 503 + 1259. Let t(j) = -3*j + 26. Let o(l) = -1. Determine q*o(b) + t(b).\nAnswer: -3*b + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17822*a - 17818*a = -35598*a - 3234 for a.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*i + 12, -5*i - 5*g + 29 = 9. Let m be 0\/((-1 - i) + 2). Suppose -20 = 5*q - u + 6*u, 0 = 5*q - u + 2. Which is greater: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133510.202 - -0.1\nAnswer: -133510.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1011.95 + -977. Round t to zero dps.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-25))\/((-11)\/((-220)\/8))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35308759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*d**2 - 59*d**2 - 38*d**2 + 9*d**2 in the form p*d + j*d**2 + z and give j.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -278*-0.03308\nAnswer: 9.19624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 569.99999449 + -570. Round l to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182304 is divided by 161?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 0. Let i(o) = -3*o**2 + 4. Let f(q) = 0 - 2 - q**2 + 3 + 0*q**2. Suppose -20*j + 8 = -72. What is c*i(m) + j*f(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6858387901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 14 - 18. Let d(g) = -2*g**3 - 4*g**2 - g + 2. What is d(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3766822 millilitres to litres.\nAnswer: 0.0003766822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1399972840 + -5.\nAnswer: -1399972845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 10577*t**4 - t + 7351*t**4 + 10482*t**4 + (0*t - 2*t + 0*t)*(t**3 - t**3 - 2*t**3) as h*t + p + f*t**4 + r*t**3 + i*t**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 20 = -4*r, -2*r + 5*f + 19 = r. Suppose r*g + 11 = 2. Let q = 6 + -10. Which is bigger: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 10*i + 144. Solve -24*o + 18*o + i = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*m - 62, -m = -4*h - 0*h + 53. Calculate the highest common divisor of 143 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**3\/3 - 5*l**2 + 48*l + 4177. What is v(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(245) - -5*-2*sqrt(245))**2 - (sqrt(245) - (3 + -3*sqrt(245) - sqrt(245))**2)) + 4.\nAnswer: -175*sqrt(5) + 23777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, 2, 0, 218, -2 in descending order.\nAnswer: 218, 4, 2, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - -883. Let b = k - 613. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {d: 2, z: 17}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7624 divided by 18\nAnswer: 3812\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40264812257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-285))\/(1\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 plus -34336.42?\nAnswer: -34350.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18917 + -42955. Let f = -16845 - k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/16 and -139\/42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 1 - 2*d + d)*(-3*d**2 - d**2 + 6*d**2).\nAnswer: -6*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1489 and -9.\nAnswer: -1498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 54*f**2 + 559*f - 512. Give r(-63).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42276961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*w + 1855748 = 16*w + 248030. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) - ((-3*(-1*sqrt(567) + sqrt(567)) + sqrt(567))**2 + sqrt(567)) - sqrt(567) - sqrt(567).\nAnswer: -567 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 316 + d93?\nAnswer: 10a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**6\/3 - 25*v**2 - 14. Find the second derivative of x(t) wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0.1 (c) -4 (d) -94 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.4 and 0.03351?\nAnswer: 1.36649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -24.42 + 8.7\nAnswer: -15.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 5, 37, 5\/23?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 68 + 2 + (-5 - -5). Calculate the highest common factor of n and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1077.47 + -936. Round k to zero dps.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315152?\nAnswer: 2, 19697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4\/5 - 40503*t**3\/5 + 1421499*t**2\/5 + 592899*t + 1502496\/5 = 0 for t.\nAnswer: -13536, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h\/h**(-6))\/(h**(1\/2)\/h)**(7\/11) assuming h is positive.\nAnswer: h**(315\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(-4) - (-40 + (-26 - -81))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2580?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 609.1547 grams to micrograms.\nAnswer: 609154700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -323760\nAnswer: -1\/40470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 6*k**2 - 8*k - 2. Let f(w) = -2*w**3 + 13*w**2 - 17*w - 1. Let u(r) = 3*f(r) - 5*l(r). Determine u(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3003803 - 3003803 + 1393*m.\nAnswer: 1393*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqwq when four letters picked without replacement from {g: 2, b: 2, p: 4, q: 5, w: 1, y: 1}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (10 - (18 - 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -279 + 283. Let m(j) be the second derivative of 8*j + 0 + 1\/60*j**5 + 0*j**3 + 0*j**2 - 1\/36*j**y. Factor m(i).\nAnswer: i**2*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/15)\/(215\/645)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - -4*6\/(-12). Suppose o + 3*f - w*f = 8, o + 2*f - 9 = 0. Let q(m) = m**3 - 7*m**2 + m - 10. What is q(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 43*w - 71. Sort -1, 13, 0, w in increasing order.\nAnswer: -1, 0, w, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94.9 - 95.613. What is x rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2369218?\nAnswer: 2, 1184609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 14 - 6 = -8*r + 7*r, 5*o + 28 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-136) + 45\/(-51). Suppose -g = 3*g - 12. Is g > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 6:31 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -16384.\nAnswer: -32768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1155 + -1103. Let b be (5\/40)\/(13\/q). Factor -1\/10*a**4 + 1\/5*a + 0 - b*a**2 + 2\/5*a**3.\nAnswer: -a*(a - 2)*(a - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**2 + f**3 - 8*f**2 + f - 11*f**2 - f**4 - 4*f**4 to x + j*f**4 + k*f**2 + i*f**3 + b*f and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 704*s**5 + 1344*s**2?\nAnswer: 42240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194035833 divided by -604473.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (41 - (-22 - -5)) + (5 - 9 - -12 - -2)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19576*k + 6018*k - 1 - 22*k + 357*k + 9263*k.\nAnswer: 35192*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6604b7 (base 12) to base 6.\nAnswer: -54403151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1006719 by 47939.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -6*k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*l = 10, -4*t - 5*l = -7*t + 13. Let c = 43 - 43. Which is greater: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23883927 to the power of 1\/2, to the nearest integer?\nAnswer: 4887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 12*x + 14 = 37*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151078 divided by -6.\nAnswer: -75539\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 14*h + 4. Let s(w) = -w**2 - 32*w + 9. Calculate -13*n(d) + 6*s(d).\nAnswer: 7*d**2 - 10*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 - 3*a**4 + 7*a**4)*(-3*a - 4 - a + 5).\nAnswer: -4*a**5 + a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132521777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2637393 is divided by 393?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a0943 (base 14) in base 11?\nAnswer: 2385580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q**2 + 10*q**2 - 32*q**2)*(-2 + 6 - 5 + 2 + 2 - 2 + (3 - 3 + 2)*(-3 + 3 + 2) + 1 - 4 + 0 + 4 - 2 - 1)*(-q + q + 2*q).\nAnswer: -84*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.13 + -0.13. Let b = s - 23.5. Let z = 8 + b. Sort 2, -1\/8, z in decreasing order.\nAnswer: 2, z, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 220 + -179. Suppose g*u - 45*u + 420 = 0. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -40 and 0.409451493.\nAnswer: -39.590548507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66243, 66405, 66565, 66723, 66879, 67033, 67185?\nAnswer: 67335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 996 and 476?\nAnswer: 118524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h - 260 = -22*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6067*m**4 + 13314 wrt m?\nAnswer: -24268*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 0 + 2)*(-5)\/(-10)*2. Which is smaller: z or 3\/1427?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 488 = 40. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = 0, 7 + 8 = 5*b - 4*s. Suppose -50 - 20 = -b*u. What is the remainder when 99 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4752132714 to the nearest integer?\nAnswer: 68936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -116, -257, -448, -683, -956, -1261?\nAnswer: -1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93408 or 93438?\nAnswer: 93408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 6*a**2 - 2*a + 7. Let d be m(7). Suppose -5*i = -2*i - d. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1365.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14030, 14029, 14014, 13979, 13918, 13825, 13694?\nAnswer: 13519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 186735\nAnswer: -3361230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -883\/3 or -294?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 6 (c) 23 (d) 0.0491\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 87 - 14*t**2 - 5*t**2 + 87.\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-3*t + 3*t - 2*t + (-2 + 2*t + 2)*(0 + 2 - 4) + 5*t - 3*t + 0*t + (25 - 1 - 7)*(0*t + 2*t + 0*t)).\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4 + 0 + 2*u**3 - u**3 - u**2 + 11*u - 12*u. Let b be t(2). Suppose 9*f + b - 33 = 0. What is the greatest common factor of 33 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7*f + 4 = 0. Find the common denominator of 153\/(-102)*(-113)\/(-36) and 28\/f*(-13)\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 160 + 127 - 6*o + 556*o**3 + 384 - 525*o**3 - 106 wrt o?\nAnswer: 93*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -2062?\nAnswer: 2055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 - k**2 + k**2 - k**2 + k**2 - k**2 + (0*k + 0*k - k)*(-3*k + 5*k - 4*k) - 13*k**2 - k**2 + 13*k**2 as w*k + x + g*k**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 1 + -1)\/(-9*(-4)\/36). Let k(w) = 7*w**2 + 2*w + 8. Let r(x) = -x**2 - 1. Give d*k(v) + 6*r(v).\nAnswer: v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 25735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, k: 3}. What is prob of sequence kks?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5390784031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgmmmgm. Give prob of sequence mgg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -102412.\nAnswer: -1\/25603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5 + 552*q**4 + 83910*q**3 + 4982104*q**2 + 102876345*q = 0. What is q?\nAnswer: -351, -73, -55, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/3 + 293*w**3\/3 + 296*w**2\/3 - 196*w.\nAnswer: -w*(w - 294)*(w - 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 464.9154 decades?\nAnswer: 4649.154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 13. Let q = -5 - p. What is the second derivative of -2*n + 8*n**2 - 3*n**q - 4*n**2 wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -126*g. Let l(i) = 25*i. Let a(r) = c(r) + 5*l(r). Let o(f) = 1382*f. Calculate o(a(m)).\nAnswer: -1382*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 24*w**2 - 2*w. Let n(q) = -9*q. Let a(u) = -39*u. Let h(c) = 2*a(c) - 9*n(c). What is i(h(p))?\nAnswer: 216*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3501270858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 5*j**2 + 3*j + 16. Let q be u(-5). Let c = -1 + -5. Let n = -6 - c. Put n, -3, q in decreasing order.\nAnswer: q, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83038 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135220 and 600.\nAnswer: 4056600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50.878 + -0.978. Let v = p + -49.5. Is -20 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262932079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 10*i**2 - i. Let c(x) = 2*x**3 - 11*x**2 - x + 1. Let g(s) = -2*c(s) + 3*z(s). List the prime factors of g(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) 82 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/5, -2, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erf when three letters picked without replacement from bflrtlrelttrtll.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12380 + 3*z**6 - 85*z**2 - 18*z**5 - 12380 wrt z.\nAnswer: 360*z**3 - 1080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1231930, 2463863, 3695796, 4927729, 6159662, 7391595?\n\"Answer: 1231933*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1\/((225\/20)\/15)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 14. Let f(o) = o**2 - 6*o - 6. Let z be f(5). Let v be n(z). Suppose 44 = v*p + p - 2*i, -5*i = -4*p + 44. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10668*a**2*v**3 - a**2 + 325*a - 23 with respect to v.\nAnswer: -32004*a**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 8*a - 9. Let p be (-3)\/15 + (-72)\/(-10). Let z be h(p). What are the prime factors of 25 - (3 + z + 2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000001001 (base 2) to base 15.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 207*y**2 - 10*y - 2. Let v(o) = -205*o**2 + 12*o + 3. What is -5*v(w) - 6*x(w)?\nAnswer: -217*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*g**2 + 9*g**2 + 12*g**2.\nAnswer: -111*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*a**3 - 56*a**3 - 81*a**3 + 36*a**3.\nAnswer: -161*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 6) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12)*n*n)\/(n*n\/(n\/(n\/(n\/n**15))*n)) assuming n is positive.\nAnswer: n**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24447, -24469, -24527, -24639, -24823, -25097?\n\"Answer: -3*v**3 - v - 24443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1024)\/32*(-5)\/40?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 31 + 29 + 3*n to the form y*n + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d - 2. Let i be (1\/1)\/((-13)\/39). Let v(g) = 5*g - 1. Let p be (36\/3)\/3 - 0. Give i*y(x) + p*v(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w - 4. Let b be 5\/(-20) - (-35)\/(-4). Let p = -4 - b. What is the tens digit of o(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (8390 - -66) + 72\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 2.8, 5, 6, -18, 2?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000217457 rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1111 and -1342754?\nAnswer: 1343865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -137+1863545\nAnswer: 1863408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 254 + 243 = -5*d, 0 = -v + 2*d + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3*f + 15 = 0, 4*y - 58 = -2*f. Let t be ((-8)\/y)\/((-5)\/4). What is the second smallest value in 1\/7, -2\/15, t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 1463?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/8586 and 2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18.3747 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-3) + (-4)\/12. Let f be 0\/(6\/(-4)*x). Let a be (-3)\/12*-2*f. Is a >= 2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-2)*(14\/(-77))\/(114\/209)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, 133, -0.3, -2\/13, 0.34?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.538835475 plus 2?\nAnswer: 2.538835475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1300*r**3 + 2611*r**3 - 1287*r**3.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 179*c**3 - 3*c**2 + 8*c - 3. Let l(m) = -360*m**3 + 5*m**2 - 14*m + 5. Calculate 5*h(v) + 3*l(v).\nAnswer: -185*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-52)\/(-20) + (-9)\/15. Suppose 3*m - 7 = -3*g + m, -2*m = -2*g + 18. Solve 0 = -3*j + 4*h - g, q*j - 2 = j + 5*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1823610 and 34101507.\nAnswer: 341015070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 16736195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16231.37ml?\nAnswer: 16.23137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21250 - 382615\/18. Let t(g) = -953*g**3 - g**2 - g - 1. Let b be t(-1). Let u = b - 5683\/6. Calculate the common denominator of u and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1921 and -1.\nAnswer: -0.8079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**4\/4 - 17*t. Let q(p) = -5*p. Give w(q(r)).\nAnswer: -75*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654924?\nAnswer: 2, 3, 54577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 - 2*p**2 - 13*p**2 + 5*p**2 + 4 to the form d*p + t + r*p**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 - 2\/8. Let l(x) = x**3 - x**2 - x + 3. Let z be l(w). Suppose z*a - 16 = a. Calculate the lowest common multiple of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.45 + -5.4793. Let q = g - -0.029301205. What is q rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 54 = 4*w, 4*d - 24 = -8*w + 9*w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7350 and 11740400.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121*x**3\/3 - 660*x**2 - 236*x - 64\/3.\nAnswer: -(x + 16)*(11*x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*t. Suppose t*y + 5*y = 0. Suppose -6 = -2*k - y. Solve 4 = r + k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/59)\/u)**(-7)\/(u\/((u**(-41)\/u)\/u))**(-17\/2) assuming u is positive.\nAnswer: u**(22052\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229 - 13199204.\nAnswer: -13199433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/7 (b) 2 (c) -3\/5 (d) -227 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 4*k - 1 + 2*k - 4*k. Give t(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*k - 65*k + 137*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000304 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 - ((-14 - -13) + -39)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*f = 4. Let w(n) = -n**3 - 5*n**2 - 3*n + 4. Let m be w(f). Suppose 2*h + 6*l - 2*l - 22 = m, 3*h = 4*l - 7. Solve 2*o + h = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170 - -178. Factor 36*f**3 - z*f**4 - 136*f**2 - 20*f - 142*f**2 + 302*f**2.\nAnswer: -4*f*(f - 5)*(f + 1)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 392.6 and 1.\nAnswer: 393.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3570 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5*f = 3334 - 3345, 5*f - 17 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4631.959 litres to millilitres.\nAnswer: 4631959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-66*b**3 + 33*b**3 + 23*b**3 + (-5990 + 58*b + 5990)*(b**2 + 0*b**2 - 3*b**2))*(2 - 3 + 5) in the form a*b + r + o*b**2 + m*b**3 and give m.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6930, 13882, 20852, 27840, 34846, 41870, 48912?\nAnswer: 55972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1 + 21*t**2 - 6*t - 3*t + 8*t. Is l(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.735*-0.3.\nAnswer: -0.2205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1485847574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 756701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*b + 3405*b + 11305*b - 678480 = -2304*b for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -33. Let c = -1183 + 1187. Calculate the smallest common multiple of c and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7802956891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 k when four letters picked without replacement from knnnnnkknnnn?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26, -36, -30, 10, 102?\n\"Answer: 3*p**3 - 10*p**2 - p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*j + 12*j + 4*j + j + j - j - j - 2*j + 4*j + (1 - 5 + 3)*(2 - 2*j - 2) + 0 + 0 + j - 2*j + 2 - 2)*(-1 + 0 - 1) to the form o*j + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1111100001000000 (base 2) to base 12\nAnswer: -30940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10211 + -10210. Sort -5, m, 33, 5, -3.\nAnswer: -5, -3, m, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -3. Suppose -73 + r = -t. Let j = -44 + t. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 + 6*f - 3. Let v be b(4). Calculate the greatest common factor of 14 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5691328 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/33)\/((-7)\/((-84)\/(-8)))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 - 6*p - 8. Let n(x) = 4*x**2 + 7*x + 8. Suppose -3*y + 0*y = -15. Let m(o) = y*f(o) + 4*n(o). Is 8 a factor of m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = o + 3*d - 85, 4*o + 4*d - 404 = 0. Suppose 3*y - o = -y. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-2)\/(-6*6))\/(45\/(-7830))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**4 - 419 - 928*u - 362867*u**2 + 110 + 361937*u**2 - 312*u**3 = 0?\nAnswer: -309, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605*b**5 + 5629745*b**4 - 2128546495*b**3 + 205864147975*b**2 - 74648730000*b + 6779857500 = 0. What is b?\nAnswer: 2\/11, 195, 8915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -370 - -368.85. Let z = -1.149861 - f. What is z rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0 - 10. Suppose -3*i + 3*p + 69 = 0, 2*i + g*p + 24 - 70 = 0. Let t = -19 + i. Solve -t = -3*f - f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23 + 0*3\/9. Let r = -18 + n. What is the greatest common factor of 20 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 6*w - 5. Let k be u(-7). Let x be k\/6 - (-3)\/(-9). List the prime factors of (2 + x)*(2 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j - 15*j**2 - 86*j**2 - 316*j**4 + 318*j**4 + 16 wrt j.\nAnswer: 24*j**2 - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63472 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/((-59)\/14986). Suppose 0 = 4*g + g + 140. Let u = g + r. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6499127 and 41747.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 + 23*r + 25. Let b(x) = -2*x**2 - 12*x - 13. Let v(z) = 7*b(z) + 3*n(z). Suppose 125 = 5*c + 40. Does 4 divide v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825908.\nAnswer: 2, 206477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 2*t + 2. Let i(z) = 50*z**2 + 7*z + 11. Calculate -6*d(v) + i(v).\nAnswer: 44*v**2 + 19*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - 26*g + 4. Let w be j(-13). Factor -12*b**3 - 172*b - 40*b**3 - 204*b**2 + 2*b**w - 48 + 8 - 11*b**4 + 29*b**4.\nAnswer: 4*(b - 5)*(b + 1)**2*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-371)\/265*(-18)\/(-21).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 - 56. Suppose -2*u = 3*a - z, 7*a = 2*a - 4*u + 43. Calculate the greatest common factor of a and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/49250 and -73\/21670?\nAnswer: 541750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 636400*q.\nAnswer: -4*q*(q + 159100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*y - 3*y + 258, 278 = 5*o - 2*y. Let g = 135 + -117. What is the highest common factor of o and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7338.\nAnswer: 2, 3, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*z - 56 = 0, -44 = 3*c - 4*z + 108. Let w be c\/(-26) + (-2)\/(-13). Are -11 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**5\/20 + u**4\/2 + 5*u**3\/6 + 3*u**2\/2 - 12*u. Let g be b(-4). Solve g = 4*m + m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88 - 956*z + 3679*z - 88 to r*z + g and give r.\nAnswer: 2723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 5*a**2 - 6*a - 3. Let m = -16 - -12. Let l be -2 + 1 + m + -1. Calculate y(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 249 or -62405?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/sqrt(810))**2 - ((sqrt(13) + 3 + sqrt(13))**2*-5 - sqrt(13)) - (-3 + 2*(3 + sqrt(117) - sqrt(117)))**2.\nAnswer: 61*sqrt(13) + 23989\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*b + 178*b + 260 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*m + 722563 = 1876471. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31170709870 - 31170709870 - 7*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.6082157\nAnswer: 0.18246471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1282 is divided by 285.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 1)*(-28 + 16 - 28)*(2 + 1 - 1)*(-3 + 4 - 2)*(-5 - 3 - 2 + 2*d) as j + l*d and give j.\nAnswer: -2400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -166023 divided by 3861?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.7809um in kilometers?\nAnswer: 0.0000001307809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u - 329 = -486 + 352 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -35. Sort -31, 1, x in decreasing order.\nAnswer: x, 1, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 3*w**2 - 4*w + 4. Let f be a(0). Suppose -f*t + 12 = -s, 3*s + 12 = 4*t + 8*s. Solve o - t*y = -5, 3*o - 2*y + 10 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*v = -17187, 5*v - 6974 = -o - 2683. What are the prime factors of o?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -29, -51?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*5\/(10\/4)*333\/(-6327).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.008*-0.23\nAnswer: 0.00184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 2:41 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22620165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -7 + (1 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/274 + -539\/822. What is the closest to 0 in 3, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 564 and 192.\nAnswer: 9024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(0*m + 0*m - 2*m)*(3*m + 17282*m**3 - 33015*m**3 + 8983*m**3).\nAnswer: 27000*m**4 - 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 2. Let p be d(1). Let y = 9 + p. What is the remainder when 45 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 76*u**2 + 693*u - 1478. Determine i(-65).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/2 - 32737*a**3\/4 + 77719*a**2 - 899795*a\/4 + 408975\/2 = 0.\nAnswer: 2, 5\/2, 5, 16359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15618, 15616, 15614, 15612, 15610, 15608?\n\"Answer: -2*d + 15620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010011110101101001 (base 2) to base 10.\nAnswer: 343401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 8*f + 6*f**3 - f + 3*f - 10*f - f**2 as l*f**2 + k*f**3 + u + m*f and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23966693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 480 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/(-2) - 6\/(-4). Let m be (h + -4)*(-3)\/(-6). Calculate the greatest common factor of 15 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 6. Let w be f(-1). Suppose 693 = -c + w*c. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + 0.3. Let y(m) = -m**2 - 4*m + 4. Let r be y(-5). Let k = r + 3. What is the second biggest value in -1, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 4 - 291*r + 4.\nAnswer: -291*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7076\/14 - ((-162)\/63 + 2). Calculate the greatest common factor of 184 and w.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/12 - (-2)\/(-6). Suppose 5*k - 5*g - 10 = b, -5*k - g - 2 = -0. Suppose -m + r + 6 = 7, 4*r - 4 = -2*m. Solve -i + k*i + 4 = m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 6) + -3 + 3. Let y(j) = 3*j**3 - 5*j**2 + 12*j - 44. Let f(l) = 2*l**3 - 4*l**2 + 11*l - 44. Let s(k) = b*y(k) + 5*f(k). Differentiate s(g) wrt g.\nAnswer: -6*g**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -19*k**3 - k**2 + 3*k. Let b be v(-3). Calculate the greatest common factor of b and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13998 - 719*l**2 + 13998.\nAnswer: -719*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*b**3 - 4*b**4 + 46*b**3 + (17*b**4 - 5*b**4 + 8*b**4)*(-1 + 3 + 0).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2. Let s(k) = -52*k + 8*k + 23*k + 12*k - k**2. Give s(c(p)).\nAnswer: -p**4 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 15269386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n**5\/5 + 6556*n**4\/15 + 14124*n**3\/5 - 304976*n**2\/15 - 124538*n\/5 - 6556\/3 = 0. Calculate n.\nAnswer: -149, -11, -1, -2\/21, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*h**2*n*v**3 + 41*h**2*n + h**2*v**3 - 19*h**2 - 101121*h*v**3 + 18*n*v with respect to n.\nAnswer: 39*h**2*v**3 + 41*h**2 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3173, -24585, -82703, -195881, -382473, -660833?\nAnswer: -1049315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(1*sqrt(6)))\/(sqrt(432) - (sqrt(432) + 1*sqrt(432))).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 3, -3 in increasing order.\nAnswer: -53, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.41 and 0.16805?\nAnswer: 0.0689005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + (-28 - (-4 + -23)) + -32?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {h: 1, k: 6, g: 4, v: 3, t: 1, y: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d - 1. Let l(y) = 1 - d + y. Let x(j) = -47*j - 47*j - 26*j + 138*j - 46*j. Give l(x(r)).\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-10)\/4*(-1 + 2). Let n(a) = -a + 6. Suppose -2*m = 2*m + 68. Let z be n(m). Solve -5*v = -x, -5*p + z = v + 2*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -24*v**2. Let p = 82 + -52. Suppose -45 + p = -5*l. Let g(h) = 1998 - 1998 + l*h**2. Give w(g(x)).\nAnswer: -216*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*s = -0*s + 4, 3*s = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**2 + 2 + 3 - 4 - 7*w**2. Suppose -2*x = 2*x. Let j = -1 + x. Let u(c) = -3*c**2 + 5. Determine j*u(k) + 5*l(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + 4*f**2 - 4*f**2 + 3*f**4 - 2*f**4 + f**4 + (-f - 3*f + 2*f)*(-3*f**3 + 0*f**3 + 2*f**3) - 4*f**4 + 5*f**4 + 2*f**4.\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b + 6. Let t(k) = k - 1. Let p(j) = -m(j) + 2*t(j). Let s be p(-9). Suppose 6*x = 5*x + s. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979 is divided by 305.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, -23, 32, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2994231 to the power of 1\/2, to the nearest integer?\nAnswer: 1730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (0 - 13)) + -38.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 3*h + 5*i, 0 = -2*i. Suppose 5*z + 81 - 16 = 0. Let s = z - -38. Solve 2*r + 14 = h*u, -s = r - 4*u - 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1036)\/112 - 3\/(-12). Let h(z) = 7*z - 14. Calculate h(l).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -14*l**2 - 84*l - 52. Let a be p(-5). Let k(g) = g - 30. Give k(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.0328.\nAnswer: 0.00328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.558086 months in decades?\nAnswer: 0.18798405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5502058 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 8:43 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5040668808 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3905810 is divided by 501?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1aa + 37?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*3\/6*542. Let p = -143 - r. Calculate the highest common factor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {y: 1, h: 1, k: 2, z: 4, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -6542, 29.\nAnswer: -6542, 8, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20775 - 11176. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -41960, -81519, -121076, -160631, -200184?\n\"Answer: l**2 - 39562*l - 2399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -37499 at least as big as -74999\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50.6 + 0.6. Let u = 46 + t. Put u, -3, -1, 1 in increasing order.\nAnswer: u, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 22*f**3 - 20*f**2.\nAnswer: -2*f**2*(f - 10)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*l - 2. Let m be l*(-4 + (-2 - -3)). Calculate the remainder when 6 is divided by m*2*4\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 116, 110, 100, 86, 68, 46, 20?\n\"Answer: -2*w**2 + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 1\/5, -6, -1\/46, -8, 0.1, 137?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 9 (c) 5 (d) -38 (e) -0.4 (f) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2 - 22*m**2 - 2 + 26*m**2. Let j(r) = r**2 - 12*r - 12. Let h(p) = 2*p**2 - 14*p - 14. Let v(z) = 6*h(z) - 7*j(z). Give l(v(w)).\nAnswer: 100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 2*i + 1. Let u be x(1). Let w(b) = -4 + b**2 + 5 - b - 2. Let q(o) = -o**2 - 2*o - 4. Let y(k) = q(k) - 3*w(k). Determine y(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-12)*(-64)\/(-8). Solve 0 = j*a + 4*n + 4, -6 = -a + 3*n - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101486917 by 101486917.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25089*k**3 - 5339*k**2 + 2*k?\nAnswer: -150534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/29, -0.1, 0, 1, 3\/8, 14 in increasing order.\nAnswer: -12\/29, -0.1, 0, 3\/8, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.052 + -13.948. Let j = 4 + n. Let m = 10.0022 + j. Round m to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/765*10\/8*-3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = q - 3*d, q - 4*d - 39 + 12 = 0. Let s = q - 11. Let g = s - -2. 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: Three letters picked without replacement from zzzzmzzzmzzzz. Give prob of sequence mzz.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 773042136 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8726746 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 8:01 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u + 182. Let b be g(17). Calculate the greatest common factor of b and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44\/(3168\/36) + (-30)\/(-4). Solve -36*z + n = -40*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 1, 14*x - 10 = -5*k + 9*x. Is k smaller than 365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**2\/8 + 7923*z\/4 - 31788 = 0.\nAnswer: -5298, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 688268294?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -f + 2*f + 2*a, 0 = 3*f + 4*a - 72. Suppose 22*k - f*k = -258. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 3750.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1537295 (base 10) to base 3.\nAnswer: 2220002202212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-35)\/42*(-40)\/50. Let y = -0.21 - -0.07. Let o = -0.64 - y. Which is the closest to d? (a) -1 (b) -1.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 9*i + 8. Let q(v) = -v**2 + 37*v + 36. Determine 2*q(d) - 9*r(d).\nAnswer: -2*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*c - 227510, 182247 = 2*c - 3*a - 45247. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(4\/5)*(q\/q**(-8))\/q*q**(3\/2)\/q**(-1\/9))**(-39) assuming q is positive.\nAnswer: q**(-13351\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 156.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 655160 and 11440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 23\/2. Let p(x) be the first derivative of -r*x**2 + 0*x + 4. Let l(t) = t**2. Give l(p(u)).\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 19*s - 6 = 0. Let l be (-1 - -37) + (-15 + s)\/6. Let m = -28 + l. Calculate the smallest common multiple of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (-243 - -192 - (4 + -3))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 728 = -4*g, g - 2*g = t - 182. What is the common denominator of -20\/9 and 0*1\/(-2) + (-1300)\/g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 0.4 (b) -2 (c) 2\/5995\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 5*a - 3*y - 51, 0 = 2*a + 4*y + 44. Let c be (7559990\/(-60) - 0) + 2\/a. Round c to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**3 + 45*o**2 - 408*o + 1074. Factor d(t).\nAnswer: 3*(t - 4)*(t + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 2911986\/91 - (-4)\/26. What is k rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + 32*p**2 + 31*p. Give h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*r - 6*r. Find the common denominator of (-26)\/(-18) - (19 - r) and ((-6)\/(-45))\/((-4)\/111).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, -5, -3, 1.7 in decreasing order.\nAnswer: 1.7, 1.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - 5*h + h)*(8 - 2 - 32) to the form p*h + o and give p.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - g - 2. Suppose -4*b = -b - 2*w + 1331, -5*b - 2221 = -2*w. Let v = b - -277. Let s be (-3)\/5 - v\/(-70). Give d(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9185 + -4.\nAnswer: -9189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417234 <= 2417233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018455 rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 157*t - 395. Let h(a) = -39*a - 1. Determine d(h(w)).\nAnswer: -6123*w - 552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 6\/(-3)) + -2 - -11. What is the greatest common divisor of c and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 7:18 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 284*d**2 - d + 5. Let r = -12 + 21. Let h be a(r). What is h rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -k + 7. Let r be 3\/k + (-4)\/18. What is the second smallest value in -1, 2\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/45))**(-49)*a**(-2\/5)\/(a*a**(-30)\/a) assuming a is positive.\nAnswer: a**(1381\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 32*d + 15. Let v(u) = 4*u**2 - 96*u - 45. Let l(r) = -7*i(r) - 2*v(r). Let s = -2702 + 2680. List the prime factors of l(s).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/(c*c**(-3\/8)*c))**(-33))**13 assuming c is positive.\nAnswer: c**(9009\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**4 - 19840270*o**3 - 54570809*o + 2 wrt o.\nAnswer: 24*o**2 - 119041620*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 8:49 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3990 - 1089 = 2*a + c, -c + 1 = 0. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -1c2?\nAnswer: 1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388557.62us in days?\nAnswer: 0.00001607126875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29995.\nAnswer: 5, 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10794, 21588, 32384, 43182?\nAnswer: 53982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 18588?\nAnswer: 37176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l**2 + l - 2. Let z(s) = -3*s - 8. Let y be z(-3). Let i be q(y). Suppose 4*p - 4 - i = 0. Calculate the lowest common multiple of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 s when four letters picked without replacement from rrssrrrrrrrrrrrrrr?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/34)\/(1\/(-4)*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 32, 9, -0.4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5776633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2. Let f(k) = 22*k + 4. Calculate a(f(t)).\nAnswer: -968*t**2 - 352*t - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microsecond in nanoseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 171*r + 3223. Calculate the remainder when k(-17) is divided by 194.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {o: 3, u: 2, h: 3, a: 3, y: 1, i: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - p - 6 = 2*p, 4*p = 2*x - 2. Let w be -4 + 0 + 48\/4. What are the prime factors of (x + w)\/(1\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**6\/120 - h**5\/20 - 3*h**4\/8 + 2*h**3\/3 + 8*h**2. What is the units digit of f(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4433703763 to four decimal places.\nAnswer: 1.4434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14264693.\nAnswer: 409, 34877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7911 + 19?\nAnswer: 792a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -5\/3, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -218*c + 550. Let m(r) = -73*r + 183. Let t = -99 - -96. Let p(v) = t*z(v) + 8*m(v). Find the first derivative of p(u) wrt u.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i**4 + 11*i + 8*i**4 + 6*i**5 - 10*i**4 - 2*i**5 + 1 wrt i?\nAnswer: 80*i**3 - 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22\/(-99)*9\/21)\/(2\/(-7)). Let r(u) be the third derivative of -1\/45*u**5 + 0*u + 0 + 12*u**2 + z*u**4 - 10\/9*u**3. Factor r(c).\nAnswer: -4*(c - 5)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2902, 2881, 2846, 2797, 2734?\n\"Answer: -7*z**2 + 2909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -60, -29, 24, 105, 220, 375, 576?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*y - 2)*(9 - 22 + 10) + 2*y + 2*y - 5*y - 1 + 1 + 2*y + (-y + 3*y - 4*y)*(-1 + 4 - 2) - 3*y + y + y + y + 2*y - 5*y - 4 + 2*y + 4 + y - 2*y + 3*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 681566087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1517*y - 103*y = 6480 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -64?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*z + 437 = 38 - 368 - 353 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Divide 7290472 by -3645236.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12 + (-294)\/(-84))*4\/18.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-35))\/((-2)\/(-62)*228\/570).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35577719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1192077?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 851, 4218, 9863, 17786, 27987, 40466, 55223?\nAnswer: 72258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -4. Let t = -3 - h. What is the units digit of -2 - t - (-2 + -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**6 - 37*t**5 + 2*t**2 - 4?\nAnswer: 120*t**3 - 2220*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - f + f)*(-3 + 2 + 2)*(1 + 1 + 0) + 3*f - 5*f + f in the form p*f + t and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(539) + (sqrt(539)*-3 - sqrt(539)) + -5)*-1*-6)**2.\nAnswer: 7560*sqrt(11) + 175538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*-1*(-2)\/(-6). Let g(o) = h + 0 - 15986*o**2 + 6085*o**2. Let w be g(-1). Round w to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70.9 - 71.9. What is the fourth biggest value in a, 4, -3\/4, 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, 0.4, -1, 3, 88344 in decreasing order.\nAnswer: 88344, 3, 1, 0.4, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 38*(-22)\/55 + 11. What is the second biggest value in 0.4, -2\/13, -8\/373, i?\nAnswer: -8\/373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -971*r**2 - 1742*r + 1741. Calculate m(1).\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -25*s + 45\/2*s**2 + 1. Let p(a) = 11*a - 6. Determine -6*b(q) + 25*p(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b5 - -3bb4?\nAnswer: 34ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 10 = -26. Let f = 42 + d. Suppose -f = -c - 2*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1426, -1460, -1504, -1564, -1646, -1756, -1900, -2084?\n\"Answer: -w**3 + w**2 - 30*w - 1396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3398*v + 42900 = -4178*v for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 318\/(-689) - 696\/(-1170)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}